A long solenoid that has 1,130 turns uniformly distributed over a length of 0.355 m produces a magnetic field of magnitude 1.00 10-4 T at its center. What current is required in the windings for that to occur
Answers
To determine the current required in the windings of the solenoid, we can use the equation for the magnetic field inside a solenoid:
B = μ₀ * n * I
where B is the magnetic field, μ₀ is the permeability of free space (approximately 4π × 10^(-7) T·m/A), n is the number of turns per unit length (turns/m), and I is the current.
In this case, the given information states that the solenoid has 1,130 turns uniformly distributed over a length of 0.355 m and produces a magnetic field of magnitude 1.00 × 10^(-4) T at its center.
Using the equation above, we can rearrange it to solve for the current:
I = B / (μ₀ * n)
Substituting the given values, we have:
I = (1.00 × 10^(-4) T) / (4π × 10^(-7) T·m/A * 1,130 turns/m)
Calculating this expression will give you the current required in the windings of the solenoid.
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Related Questions
What is the easiest way to solve system of equations?
Answers
The easiest way to solve a system of equations is by using the substitution method.
The substitution method requires you to solve for one variable in one of the equations, substitute the answer into the other equation, and then solve for the remaining variable.
The easiest way to solve a system of equations is to use the substitution method. This method works by substituting one equation into the other to solve for one of the variables. Once the variable is found, it is then substituted back into the other equation to solve for the other variable. For example, if you have two equations: 3x + 2y = 5 and 4x - 2y = 6, you would solve the first equation for y and substitute the answer (y = (5 - 3x)/2) into the second equation. Then, you would solve the second equation for x (x = (6 + 2y)/4). Once you have the values for x and y, you can substitute them into either equation to check your answer.
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If X,Y are two variables that have a joint normal distribution, expected values 10 and 20, and with variances 2 and 3, respectively. The correlation between both is -0.85.
1. Write the density of the joint distribution.
2. Find P(X > 12).
3. Find P(Y < 18|X = 11).
Answers
The density function of the joint normal distribution is given by;$$f_{X,Y}(x,y) = \frac{1}{2 \pi \sigma_X \sigma_Y \sqrt{1-\rho^2}} \exp{\left(-\frac{1}{2(1-\rho^2)}\left[\frac{(x-\mu_X)^2}{\sigma_X^2}-2\rho\frac{(x-\mu_X)(y-\mu_Y)}{\sigma_X \sigma_Y} + \frac{(y-\mu_Y)^2}{\sigma_Y^2}\right]\right)}$$where $\mu_X = 10$, $\mu_Y = 20$, $\sigma_X^2 = 2$, $\sigma_Y^2 = 3$ and $\rho = -0.85$.
Substituting the values;$$f_{X,Y}(x,y) = \frac{1}{2 \pi \sqrt{6.94} \sqrt{5.17} \sqrt{0.27}} \exp{\left(-\frac{1}{2(0.27)}\left[\frac{(x-10)^2}{2}-2(-0.85)\frac{(x-10)(y-20)}{\sqrt{6}\sqrt{3}} + \frac{(y-20)^2}{3}\right]\right)}$$Simplifying the exponents, the density is;$$f_{X,Y}(x,y) = 0.000102 \exp{\left(-\frac{1}{0.54}\left[\frac{(x-10)^2}{2}+\frac{2.89(x-10)(y-20)}{9} + \frac{(y-20)^2}{3}\right]\right)}$$2. To find $P(X > 12)$,
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Consider that we want to design a hash function for a type of message made of a sequence of integers like this M=(a 1
,a 2
,…,a t
). The proposed hash function is this: h(M)=(Σ i=1
t
a i
)modn where 0≤a i
(M)=(Σ i=1
t
a i
2
)modn c) Calculate the hash function of part (b) for M=(189,632,900,722,349) and n=989.
Answers
For the message M=(189,632,900,722,349) and n=989, the hash function gives h(M)=824 (based on the sum) and h(M)=842 (based on the sum of squares).
To calculate the hash function for the given message M=(189,632,900,722,349) using the formula h(M)=(Σ i=1 to t a i )mod n, we first find the sum of the integers in M, which is 189 + 632 + 900 + 722 + 349 = 2792. Then we take this sum modulo n, where n=989. Therefore, h(M) = 2792 mod 989 = 824.
For the second part of the hash function, h(M)=(Σ i=1 to t a i 2)mod n, we square each element in M and find their sum: (189^2 + 632^2 + 900^2 + 722^2 + 349^2) = 1067162001. Taking this sum modulo n=989, we get h(M) = 1067162001 mod 989 = 842.So, for the given message M=(189,632,900,722,349) and n=989, the hash function h(M) is 824 (based on the sum) and 842 (based on the sum of squares).
Therefore, For the message M=(189,632,900,722,349) and n=989, the hash function gives h(M)=824 (based on the sum) and h(M)=842 (based on the sum of squares).
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Sum of the arithmetic sequence- Find each sum: 5+ 9 +13 + ... +49
Answers
ANSWER
324
EXPLANATION
We want to find the sum of the arithmetic progression:
\(5+9+13\ldots_{}+49\)To do that we apply the formula for the sum of an arithmetic sequence:
\(S_n=\frac{n}{2}(a+l)\)where a = first term
l = last term
n = number of terms
We have to find n by using the last term:
\(a_n=a+(n-1)d\)d = common difference
The common difference is 4. Therefore, we have to find n:
\(\begin{gathered} 49=5+(n-1)\cdot4 \\ 49=5+4n-4 \\ 49=1+4n \\ \Rightarrow4n=49-1=48 \\ n=\frac{48}{4} \\ n=12 \end{gathered}\)There are 12 terms.
Therefore:
\(\begin{gathered} S_n=\frac{12}{2}(5+49)=6\cdot(54) \\ S_n=324 \end{gathered}\)That is the sum of all the terms.
Using the textbook example of 420 school districts and the regression of test scores on the student teacher ratio, you find that the standard error on the slope coefficient is 0.51 when using the heteroskedasticity-robust formula, while it is 0.48 when employing the homoskedasticity-only formula. When calculating the t-statistic, the recommended procedure is to:
Answers
The recommended procedure when calculating the t-statistic is to use the heteroskedasticity-robust formula due to the presence of heteroskedasticity in the data.
When analyzing regression models, it is essential to consider the assumption of homoskedasticity, which assumes that the error term (residuals) has a constant variance across all levels of the independent variables.
However, in some cases, this assumption may be violated, leading to heteroskedasticity, where the variability of the error term differs across the range of the independent variables.
In the given example, the standard error of the slope coefficient is different when using the heteroskedasticity-robust formula (0.51) compared to the homoskedasticity-only formula (0.48). This suggests the presence of heteroskedasticity in the data, as the robust standard error accounts for the unequal variance of the residuals.
To calculate the t-statistic, which measures the significance of the estimated slope coefficient, it is recommended to use the heteroskedasticity-robust standard error. This accounts for the potential bias and incorrect inference that may arise from ignoring heteroskedasticity.
By dividing the estimated slope coefficient by the heteroskedasticity-robust standard error, the t-statistic can be calculated. This t-statistic is then compared to the critical values from the t-distribution to assess the statistical significance of the slope coefficient.
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Below is the least squares regression output for tree #2. Simple linear regression results: Dependent Variable: leaf water potential Independent Variable: sap flow velocity leaf water potential 0.345-0.0552 sap flow velocity Sample size: 6 R-sq 0.99115489 Find the value of the correlation coefficient based off of R-Square.
Answers
The value of the correlation coefficient based on the provided R-squared is approximately 0.995562, indicating a strong positive linear relationship between leaf water potential and sap flow velocity for tree #2.
The correlation coefficient, denoted as "r," is a measure of the strength and direction of the linear relationship between two variables.
It ranges between -1 and 1, where -1 indicates a perfect negative correlation, 1 indicates a perfect positive correlation, and 0 indicates no correlation.
In the given least squares regression output, the value of R-squared (R-sq) is provided as 0.99115489.
R-squared represents the proportion of the total variation in the dependent variable that can be explained by the independent variable(s).
It is calculated as the squared value of the correlation coefficient (r).
To find the value of the correlation coefficient based on R-squared, we take the square root of R-squared:
r = √(R-sq)
Using the given value of R-squared (0.99115489), we can calculate the correlation coefficient:
r = √(0.99115489) ≈ 0.995562
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Lucy will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $55 and costs an additional $0.50 per mile driven. The second plan has no initial fee but costs $0.60 per mile driven. How many miles would Lucy need to drive for the two plans to cost the same?
Answers
The two plans will cost the same when Lucy has driven 550miles. ($55 + $0.50 x 550)= $330
(0.6*550)=$330
The difference between both the trip rate is .10$
and the difference between initial fee is 55$
so after 1 mile the difference is .10$
the 55$can be earn after
55*10=550 mile.
What are typical speeds and an illustration?Divide the overall distance traveled by the time period to find the average speed. An someone traveling at an average speed of 40 miles divided by 40 minutes, or 1 mile per minute, would be driving 20 miles north and then 20 miles south to arrive at the same location (60 mph)
Why is the average speed determined?The overall distance traveled by an object over the total amount of time is the thing's average speed. The average speed v of an object during a motion that covers a total distance of d and a total duration of t can be estimated using the formula v = d t.
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What is a decimal that is less than 5.056 but greater than 5.05
Answers
Answer:
5.051
Step-by-step explanation:
8 cm 10 cm 15 cm surface area of a rectangle
Answers
Answer:
surface area of a square = 2 ( lb + bh + hl )
given that,
length = 8cm
breadth = 10cm
height = 15 cm
surface area = 2 ( 8* 10 + 10*15 + 15*8 )
= 2 ( 80 + 150 + 120 )
= 2 * 350
= 700 \(cm^{2}\)
hope this answer helps you!!
a biologist claims that nearly 45 percent of all americans have brown eyes. a random sample of n=60 mizzou students found 24 with brown eyes. give the numerical value of the statistic p^
Answers
the sample proportion (p^) is 0.4 or 40%.
To calculate the sample proportion (p^) for the number of Mizzou students with brown eyes, use the following formula:
A set is a collection of objects or groups of objects. These objects are often called elements or members of a set. For example, a group of players in a cricket team is a set.
p = (number of students with brown eyes) / (total number of students in the sample)
In this case, there are 24 students with brown eyes out of a sample of 60 students. Therefore, the numerical value of the statistic p^ is:
\(p = \frac{24} { 60} = 0.4\)
So, the sample proportion (p^) is 0.4 or 40%.
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The numerical value of the statistic p^ for the random sample of 60 Mizzou students is 0.4, meaning 40% of the
sampled students have brown eyes.
To find the numerical value of the statistic p^ (sample proportion) for the given problem, you should follow these steps:
Identify the total number of students (n) in the sample, which is 60.
Identify the number of students with brown eyes (x), which is 24.
Calculate the sample proportion (p^) using the formula: p^ = x/n
Applying the formula:
p^ = 24/60
p^ = 0.4
So, the numerical value of the statistic p^ for the random sample of 60 Mizzou students is 0.4, meaning 40% of the
sampled students have brown eyes.
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Let A = {(1,0, -2); (2,1,0); (0,1,-5)} Then A is a basis for R3 the above vector space the above vector space R4 None of the mentioned the above vector space
Answers
Any vector in R3 can be expressed as a linear combination of the vectors in A. Hence, A is a basis for R3.
The set A = {(1,0,-2), (2,1,0), (0,1,-5)} is a set of three vectors in R3, which is a three-dimensional vector space. Therefore, A cannot be a basis for R4, which is a four-dimensional vector space.
To determine whether A is a basis for R3, we need to check whether the vectors in A are linearly independent and span R3.
To check linear independence, we need to solve the equation:
c1(1,0,-2) + c2(2,1,0) + c3(0,1,-5) = (0,0,0)
This gives us the system of linear equations:
c1 + 2c2 = 0
c2 + c3 = 0
-2c1 - 5c3 = 0
Solving this system, we get c1 = 0, c2 = 0, and c3 = 0. Therefore, the vectors in A are linearly independent.
To check whether the vectors span R3, we need to show that any vector in R3 can be expressed as a linear combination of the vectors in A. Let
(x, y, z) be an arbitrary vector in R3. Then we need to find constants c1, c2, and c3 such that:
c1(1,0,-2) + c2(2,1,0) + c3(0,1,-5) = (x, y, z)
This gives us the system of linear equations:
c1 + 2c2 = x
c2 + c3 = y
-2c1 - 5c3 = z
Solving this system, we get:
c1 = (-5x + 2y - z)/11
c2 = (2x - y)/11
c3 = (6x - 3y + 2z)/11
Therefore, any vector in R3 can be expressed as a linear combination of the vectors in A. Hence, A is a basis for R3.
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Each side of a square is increasing at a rate of 7 cm/s. At what rate (in cm2/s) is the area of the square increasing when the area of the square is 25 cm2
Answers
The rate of increase in the area of the square is 70 cm²/s when the area of the square is 25 cm².
Each side of a square is increasing at a rate of 7 cm/s. The area of the square is 25 cm².
The area of the square is given by A = a²
Where A is the area of the square and a is the length of the side of the square.
Differentiate both sides of the equation with respect to time we get:
dA/dt = 2a.da/dt
Substitute a = √A in the above equation to get:
dA/dt = 2√A.da/dt
Substitute A = 25 and da/dt = 7 in the equation dA/dt = 2√A.da/dt to get:
dA/dt = 2 x √25 x 7
dA/dt = 2 x 5 x 7
dA/dt = 70 cm²/s
Therefore, the rate of increase in the area of the square is 70 cm²/s.
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24 356 divide by 5 long division ,show all steps
Answers
Answer:
4871.2
Step-by-step explanation:
4871.2
5,/24356
-20
----------
043
-40
------------
035
-35
--------------
06
-05
------------
0.10
10
-------------
000
Answer:
24356 ÷ 5 = 4871.2
Step-by-step explanation:
Divide each digit of the dividend with the divisor starting from left to right. Bring down the next digit after each step as shown below:
1.
0
5 2 4 3 5 6 .
− 0
2
Divide 2 by 5. Write the remainder after subtracting the bottom number from the top number.
2.
0 4
5 2 4 3 5 6 .
− 0
2 4
− 2 0
4
Bring down next digit 4. Divide 24 by 5. Write the remainder after subtracting the bottom number from the top number.
3.
0 4 8
5 2 4 3 5 6 .
− 0
2 4
− 2 0
4 3
− 4 0
3
Bring down next digit 3. Divide 43 by 5. Write the remainder after subtracting the bottom number from the top number.
4.
0 4 8 7
5 2 4 3 5 6 .
− 0
2 4
− 2 0
4 3
− 4 0
3 5
− 3 5
0
Bring down next digit 5. Divide 35 by 5. Write the remainder after subtracting the bottom number from the top number.
5.
0 4 8 7
5 2 4 3 5 6 .
− 0
2 4
− 2 0
4 3
− 4 0
3 5
− 3 5
0 6
− 5
1
Bring down next digit 6. Divide 6 by 5. Write the remainder after subtracting the bottom number from the top number.
6. Put the decimal point.
7.
0 4 8 7 1 . 2
5 2 4 3 5 6 . 0
− 0
2 4
− 2 0
4 3
− 4 0
3 5
− 3 5
0 6
− 5
1 0
− 1 0
0
Remember: A decimal number, say, 3 can be written as 3.0, 3.00 and so on. Bring down next digit 0. Divide 10 by 5. Write the remainder after subtracting the bottom number from the top number.
End of long division (Remainder is 0 and next digit after decimal is 0).
24356 ÷ 5 = 4871.2
if cdg ~ edf what is the value of x
Answers
Answer:
250 in out to radical change
Xavier makes a conjecture that the sum of two odd integers is always an even integer. Which choice is the best proof of his conjecture?.
Answers
The correct option A: Let 2a + 1 be one odd number, and let 2b + 1 be the other odd number. (2a + 1) + (2b + 1) = 2a + 2b + 2 = 2(a + b + 1). Because 2(a + b + 1) is evenly divisible by 2, it is an even number.
Explain the term even integer?Odd numbers cannot be divided by two exactly, whereas even numbers were integers that can be divided by two exactly. Even number examples include 2, 6, 10, 20, 50, etc.The statement made by Xavier that the product of two odd integers always results in an even integer should be noticed.
For the given case, conjecture that the sum of two odd integers is always an even integer is -
Let 2a + 1 be one odd number, and let 2b + 1 be the other odd number. (2a + 1) + (2b + 1) = 2a + 2b + 2 = 2(a + b + 1). Because 2(a + b + 1) is evenly divisible by 2, it is an even number.To know more about the even integer, here
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The complete question is-
Xavier makes a conjecture that the sum of two odd integers is always an even integer. Which choice is the best proof of his conjecture?
Select option;
A: Let 2a + 1 be one odd number, and let 2b + 1 be the other odd number. (2a + 1) + (2b + 1) = 2a + 2b + 2 = 2(a + b + 1). Because 2(a + b + 1) is evenly divisible by 2, it is an even number.
B: Look at these different examples: 3 + 5 = 8, 13 + 5 = 18, 23 + 5 = 28. So the sum of two odd numbers must be even.
C: Let a and b both represent odd numbers, and let a + b be an even number. Therefore, a + b = b + a, which shows that the sum of two odd numbers is even.
D: Every time you add two odd numbers, the sum is an even number.
A process in which a number is changed, such as by adding, subtracting, dividing, or multiplying.A. operation.B. smart.C. super cool.
Answers
Arithmetic operations consists primarily of operations such as addition, subtraction, multiplication, and division. So the option A is correct.
The process of adding things together is known as addition. The '+' sign represents the addition process. It entails combining two or more numbers into a single expression.
The difference between two numbers is calculated using the subtraction operation. The '-' sign represents subtraction. It is nearly identical to addition, but it is the conjugate of the second term.
Multiplication is also referred to as repeated addition. It is indicated by " or '*'. It can also be combined with two or more values to produce a single value.
Division is the inverse of multiplication and is usually denoted by ". It is made up of two terms, dividend and divisor, and the dividend is divided by the divisor to yield a single term value.
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From a full 50-liter container of a 40% concentration of acid, x liters are removed and replaced with 100% acid. (A) Write the amount of acid in the final mixture as a function of x (B) Determine the domain and range of the function (C) Determine if the final mixture is 50% acid PLEASE EXPLAIN...WILL MARK BRAINLIEST FOR BEST ANSWER
Answers
Answer:
See explanation
Step-by-step explanation:
Given:
50 liter container
40% concentration of acid
x liters are removed and replaced with 100% acid
(A)
Acid in 50-liter container = 40% of 50 liters
= (40/100) * 50
= 0.4 * 50
= 20
So there are 20 liters amount of acid in 50 liter container.
Now x liters are removed and replaced with 100% acid
The acid in x-liter
40% of x liters = (40/100) * x = 0.4 * x
When x liters are removed then amount of acid that remained in container:
20 - 40% of x liters = 20 - (40/100) * x = 20 - 0.4 * x
This can also be written as:
(50-x) (40/100) = (40*50/100) - (40*x/100) = 2000/100 - 40x/100 = 20 - 2x/5
Since x liters replaced with 100% acid so this becomes:
20 - 40% of x liters + 100% of x liters
= 20 - (40/100) * x + 100/100 * x
= 20 - (40/100) x + (100/100)x
= 20 + (100-40/100)x
= 20 + (60/100)x
= 20 + 0.6 x
This can also be written as:
20 - 2x/5 + x = 20 + 3x/5 = 20 + 0.6 x
Hence the amount of acid in the final mixture as a function of x:
f(x) = 20 + 0.6 x
(B)
The value of x can not be greater than 50 liters and can not be lesser than 0 liters.
so, range is [0, 50] where both 0 and 50 are inclusive.
(C)
Since final mixture is 50% acid So
Acid = 50% of 50 litres =
= (50/100) * 50
= 1/2 * 50
= 50/2
= 25
Put 25 in the computed function of x
20 + 0.6 x = 25
0.6x = 25 - 20
0.6x = 5
x = 5/0.6
x = 8.333333
x = 8.3 liters
Find QR
a. -8
b. 12
c. 6
d. 9
Answers
6.2. The ratio of boys and girls in the class of 64 is 5:3. Work out the number of boys and girls that are there in the class.
Answers
Answer:
Step-by-step explanation:
Number of students in class= 64
Boys : Girls= 5:3
Total ratio=5+3
=8
Number of boys= 5/8 * 64
=40
Number of girls = 3/8* 64
=24
Please help I’ll give brainliest
Answers
answer:
ans:
0.03 km³ = 0.03 × 10⁹ m³ = 3×10⁷ m³6052 mL³ =6052×10^(-9) L³ = 6.052×10^(-6) L³5.43 cg³ = 5.43 × 10^(-6) g³ 2100m³ = 2100 × 10^(-9) km³ = 2.1 × 10^(-6) km³Step-by-step explanation:
1000 m = 1 km
1000 mL = 1 L
100 cg = 1 g
f(x) = xe-x ce-x, for what positive value of c does f have an absolute minimum at x = -5?
Answers
The positive value of c that makes the function f(x) = xe^(-x)ce^(-x) have an absolute minimum at x = -5 is approximately 16.05.
To find the value of c that gives an absolute minimum at x = -5, we need to analyze the behavior of the function. First, we differentiate f(x) with respect to x to find the critical points. The derivative of f(x) is f'(x) = -x^2e^(-2x)ce^(-x). Setting f'(x) = 0 and solving for x, we find x = 0 as a critical point.
However, we are interested in finding the value of c that results in an absolute minimum at x = -5. Plugging x = -5 into f(x), we get f(-5) = -5e^(5)c^(-5)e^(5). Since e^5 is positive, to minimize f(-5), c should be as large as possible. Taking the limit as c approaches infinity, we find that f(-5) approaches 0.
Therefore, c should be a large positive value. Calculating the exact value, we find c ≈ 16.05 gives an absolute minimum at x = -5 for the function f(x).
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the number of weeds in your garden grows exponential at a rate of 15% a day. if there were initially 4 weeds in the garden, approximately how many weeds will there be after two weeks?
Answers
Answer:
28
Step-by-step explanation:
If < 5 is 62 degrees, find the measures of the other 4 missing angles. < 1 = _____ <2 = _____ < 3 = ______ < 4 = ______
Answers
Answer:
∠1 = 62°∠2 = 118°∠3 = 62°∠4 = 118°Step-by-step explanation:
Notice that ∠5 is an internal angle, because it's between the parallels.
∠1 and ∠5 are corresponding angles, becasue they are at the same side of the transveral, and one is internal and the other external. So, ∠1 = 62°.
∠2 and ∠1 are supplementary angles, because they are on a straight angle, so if ∠1 = 62°, then ∠2 = 180° - 62° = 118°.
∠3 and ∠1 are vertical angles, because they have a vertex in common only. So, they are congruent, which means ∠3 = 62°.
Finally, ∠4 and ∠2 are vertical angles, so they are congruent. ∠4 = 118°.
2m^2-5m-3=0 by factorization
Answers
Step-by-step explanation:
It is so simple Hope u understand
Answer:
Step-by-step explanation:
Sum = -5
Product = 2*(-3) = -6
Factors = -6 , 1 {-6 + 1 = -5 & -6 *1 = -6}
2m² - 5m -3 = 0
2m² - 6m + m -3 = 0
2m(m - 3) + (m -3) = 0
(m -3)(2m + 1) = 0
m - 3 = 0 or 2m + 1 = 0
m = 3 or 2m = -1
m = -1/2
Ans: m = 3 , (-1/2)
Lines a, b, c, d, and e are distinct lines in
the same plane. Decide if lines a and e
are parallel, perpendicular, or if there is not
enough information given.
alb, b || c, cid, die
A. parallel
B. perpendicular
C. not enough information
Answers
Answer: Pretty sure it is perpendicular.
Step-by-step explanation:
If B is perpendicular to A and B and C are parallel, that means C is also perpendicular to A. Since D is perpendicular to C, it is parallel to A. E is perpendicular to D, so it goes back to perpendicular to A.
please answer fast!!! please
Answers
The value of angle x is 36°
What are angles on a straight line?Angles on a straight line relate to the sum of angles that can be arranged together so that they form a straight line.
The sum of angles on a straight line is 180° . therefore if angles on a straight line are A, B, C
A + B + C = 180°
Similarly since the angles on the line are all x, then,
x+x +x +x + x = 180°
5x = 180
divide both sides by 5
x = 180/5
x = 36
This means the value of each angle is 36°
Therefore the value of x is 36°
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give the answer of this question by using prime factorization in exponential form 486×768
Answers
Answer:
its 373248
Step-by-step explanation:
I got this by 2squared 9 and 3squared 6
Miss Christina deposits her monthly salary $9000 in a bank which pays 7% interest compounded half yearly.How much will she get after 10 years? A.)18,122 B.)18,014 C.)17,908 D.)17,704
Answers
THe closest answer i got was 18122
HELP PLEASE WILL MARK BRAINLIEST
Answers
Answer:
Wyatt must get a score of 150 on Exam B in order to do equivalently well as he did on Exam A.
Step-by-step explanation:
Let's calculate the test statistic of each score based on the mean and standard deviation of each test.
This statistic will show us how far from the mean, measured in standard deviations, Wyatt's test score is.
The formula for the test statistic is:
\(\displaystyle Z = \frac{x- \mu}{\sigma}\) x = observed value\(\mu\) is the population mean \(\sigma\) is the population standard deviationLet's calculate the test statistic for each test.
Exam A:
\(\displaystyle Z = \frac{45-35}{5} = \frac{10}{5}= 2\)Exam B:
\(\displaystyle Z = \frac{x-100}{25}\)Since we want the test statistic to be the same for both exam A and exam B, let Z = 2 and solve for x for Exam B.
\(\displaystyle 2 = \frac{x-100}{25} \\ 50 = x - 100 \\ x = 150\)Wyatt must get a score of 150 on Exam B in order to do equivalently well as he did on Exam A. This score means that Wyatt is 2 standard deviations from the mean score on Exam B as he scored on Exam A.
Which statement is true?
pls help me ! * ill give you BRAINLIST , have to get it right !
Answers
Answer:
The y value of Function A when x = -4 is greater than the y value of Function B when x = -4.
Step-by-step explanation:
A.) y = 2(-4) + 5 = -8 + 5 = -3
B.) y = 2(-4) + 2 = -8 + 2 = -6
-3 is greater than - 6.