Answer:
f (3) = 21
Step-by-step explanation:
To answer, we know that x in f (x) equals 3, so in f (x) = 7x, we simply substitute x with 3:
f (3) = 7 (3)
Now multiply:
f (3) = 21
21 is your answer
Hope this helps :)
find the value of x and y
(5y-23)
(2x+13)
(3x)
47
Answer:
Hope it help, and please give me Brainlest!
Step-by-step explanation:
I just know this one. I'm so sorry!
2x + 13= \(\sqrt{x} = 5\); x + 9 = -4; \(4^{3x + 2} = 4\)
The value of x and y in the given figure is 14° and 23° respectively.
What is a transversal?We know when a transversal intersects two parallel lines at two distinct points,
Two pairs of interior and alternate angles are formed such that the measure of interior angles are same and the measure of alternate angles is also the same.
We know vertically opposite angles are equal, and we also know that sum of all the interior angles of a triangle is equal to 180°.
∴ 47° + (2x + 13)° + (5y - 23)° = 180°.
47° + 13° - 23° + 2x + 5y = 180°.
2x + 5y = 143°...(i).
Now, We also know that when parallel lines are intersected by a transversal pair of alternate angles are equal and the sum of two adjacent angles is equal to 180°.
∴ 3x + (5y - 23)° = 180°.
3x + 5y = 157°...(ii)
Now subtracting eqn(i) from eqn(ii) we get x = 14°, and substituting the value of x in any of the equations we y = 23°.
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Ms. Random’s math students collect data to determine the correlation between the number of hours of study outside of the classroom and the change in a student’s ACT scores. The students ask their classmates who took the ACT as juniors and as seniors to anonymously submit their ACT scores and the hours per week they studied outside of the classroom. The number of hours spent studying is then related to the change in ACT scores using this equation, where x is the number of hours studied per week and y is the change in ACT score.
y = 1 + 2x
Interpret the y-intercept of this equation in its context.
Graph quadrilateral QRST and its image after a rotation 270° about the origin.
After rotation about the origin the coordinate will be converted to :-
(-3,0) to (0,3)
(-5,0) to (0,5)
(-6,-3) to (-3,6)
(-1,-3) to (-3,1)
What are the types of rotation about the origin?
Rotation of 90 degrees
Our point A(x,y) becomes A' when a point is rotated 90 degrees counterclockwise about the origin (-y,x). To put it another way, flip x and y, and make y negative.180° of Rotation
Our point A(x,y) rotates 180 degrees counterclockwise around the origin to become A' (-x,-y). Making both x and y negative is all we do as a result.Rotation of 270 degrees
Our point A(x,y) rotates 270 degrees counterclockwise around the origin to become A' This implies that we reverse x and y and turn x negative.Learn more about rotation about the origin from the link below
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I NEED HELP PLEASE !!!!
Answer:
No, all of her work is correct.
Step-by-step explanation:
Answer:
No, all of her work is correct.
Step-by-step explanation:
All of her work is correct.
The first step is showing factorization of √50
The second step is simplifying the factorization
The third step is simplifying the entire radical.
When you take a square root of a square, they cancel out, so:
√5² = 5
We multiply it with our leftover √2 and we get:
5√2
Olivia volunteers at the hospital where her mother works. One Saturday, she answers phone calls at the information desk while the receptionist is away. Then she spends 25 minutes delivering flowers to patients' rooms. In all, Olivia volunteers at the hospital for 45 minutes that day.
The equation used to find the amount of time Olivia answers phone calls is t +25= 45
The amount of time Olivia answers phone calls is 20
Olivia volunteers at the hospital where her mother works
She answers phone calls
She spends 25 minutes delivering flowers to patient's room
She spends 45 meetings volunteering at the hospital
Let t represent the amount of time Olivia answers phone calls in the hospital
Hence the equation used to calculate the amount of time spent on calls is t + 25= 45
t + 25= 45
collect the like terms
t= 45-25
t= 20
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what are the terms a0, a1, a2, and a3 of the sequence {an}, where an equals a) 2n 1? b) (n 1)n 1? c) n/2? d) n/2 n/2?
When a\(_{n}\) = \(2^{n}\)+ n, a₀ = 1, a₁ = 3, a₂ = 6, and a₃ = 11
When a\(_{n}\) = n^(n+1)!, a₀ = 0, a₁ = 2, a₂ = 2⁶, and a₃ = 3²⁴
When a\(_{n}\) = [n/2], a₀ = 0, a₁ = 1/2, a₂ = 1, and a₃ = 3/2
When a\(_{n}\) = [n/2] + [n/2], a₀ = 0, a₁ = 1, a₂ = 2, and a₃ = 3/2
Number sequence
A number sequence is a progression or a list of numbers that are directed by a pattern or rule.
Here,
a₀, a₁, a₂, and a₃ are terms of a sequence
from option a, a\(_{n}\) = \(2^{n}\)+ n
⇒ a₀ = 2⁰+ 0 = 1+0 = 1
⇒ a₁ = 2¹+ 1 = 2+1 = 3
⇒ a₂, = 2²+ 2 = 4+2 = 6
⇒ a₃ = 2³+ 3 = 8 +3 = 11
from option b, a\(_{n}\) = n^(n+1)!
⇒ a₀ = 0^(0+1)! = 0
⇒ a₁ = 1^(1+1)! = 2² = 2
⇒ a₂, = 2^(2+1)! = 2^(3)! = 2⁶ [ ∵ 3! = 6 ]
⇒ a₃ = 3^(3+1)! = 3^(4)! = 3²⁴ [ ∵ 4! = 24 ]
from option c, a\(_{n}\) = [n/2]
⇒ a₀ = [0/2] = 0
⇒ a₁ = [1/2] = 1/2
⇒ a₂, = [2/2] = 1
⇒ a₃ = [3/2] = 3/2
from option d, a\(_{n}\) = [n/2] + [n/2]
⇒ a₀ = [0/2] + [0/2] = 0
⇒ a₁ = [1/2] + [1/2] = 1/2 + 1/2 = 1
⇒ a₂, = [2/2] + [2/2] = 1 + 1 = 2
⇒ a₃ = [3/2] + [3/2] = 6/4 = 3/2
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The Complete Question is -
What are the terms a₀, a₁, a₂, and a₃ of the sequence {a\(_{n}\)}, where a\(_{n}\) is where a\(_{n}\) equals
a. \(2^{n}\) + n b. n^(n+1)!
c. [n/2] d. [n/2] + [n/2]
Are polynomials closed under addition and subtraction?
Polynomials are closed under the operations of addition, subtraction, and multiplication, polynomials constitute a system similar to that of integers.
Polynomial exponents are whole numbers.
The fact that addition is closed for the whole numbers ensures that the resultant exponents will also be whole numbers. Polynomials are hence closed under addition.
Polynomials will be closed under an operation if the operation produces another polynomial.
If we subtract 2 polynomials, the result is a polynomial. Therefore, they are also closed under subtraction.
Polynomials are an algebraic equation that has more than two terms, particularly the accumulation of numerous phrases that each include a different power of the same variable (s).
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Evaluate
(-5)3
Mathematics
Multiply 5 by 3.-15
I hope this is right :P
The value of (-5)³ is -125.
To evaluate the expression (-5)³, we follow the order of operations, which is to perform the exponentiation first.
(-5)³ means raising -5 to the power of 3.
(-5)³ = (-5) × (-5) × (-5) = -125
Therefore, (-5)³ equals -125.
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odjnjdcnvhndfhnvjnfc help
Answer:
hahahahahaha lol thats really funny
Step-by-step explanation:
Answer:
what OMG
Step-by-step explanation:
HAHAHAHAHA
The temperature in London was -1º C. The next day it fell by a further 4ºC. What was the new temperature?
Answer:
-5
Step-by-step explanation:
Given:
-1°c
Fell further 4°c (Fell Further mean negative so -4)
Solve:
-4 + -1 = -5
The equation of line EF is y = 1 over 2x + 6. Write an equation of a line parallel to line EF in slope-intercept form that contains point (0, −2).
Answer:
y = 1/2x -2
Step-by-step explanation:
You want the equation of a line parallel to y = 1/2x +6 that contains the point (0, -2), written in slope-intercept form.
SlopeThe slope of the line you want will be the same as the slope of the line you have. That is because parallel lines have the same slope.
The equation you are given is written in slope-intercept form:
y = mx + b . . . . . . where m is the slope and b is the y-intercept
Comparing this form to the given equation, you see that ...
m = 1/2 . . . . . the slope of the line you want
InterceptThe "intercept" in the "slope-intercept" form is the value of y when x=0. The point you are given, (0, -2), tells you that y = -2 when x = 0. So, the "intercept" in your slope-intercept equation is -2.
EquationThe equation you want is the equation of a line with slope 1/2 and a y-intercept of -2.
y = 1/2x -2
The equation of the line that is parallel to line EF and passes through point (0, -2) is y = (1/2)x - 2.To find an equation of a line that is parallel to line EF and passes through point (0, -2), we need to use the fact that parallel lines have the same slope. The slope of line EF is 1/2, so the slope of the parallel line will also be 1/2.
We can start by using the point-slope form of the equation of a line: y - y1 = m(x - x1), where m is the slope and (x1, y1) is a point on the line. Plugging in m = 1/2 and (x1, y1) = (0, -2), we get:
y - (-2) = (1/2)(x - 0)
Simplifying this equation gives:
y + 2 = (1/2)x
To get this equation in slope-intercept form (y = mx + b), we can isolate y:
y = (1/2)x - 2
So the equation of the line that is parallel to line EF and passes through point (0, -2) is y = (1/2)x - 2. Note that this line intersects the y-axis at y = -2, which is the y-intercept.
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safety data sheets are only required when there are 10 gallons true or false
Safety data sheets (SDS) are not only required when there are 10 gallons. This statement is false. SDS, also known as material safety data sheets (MSDS), are required for hazardous substances, regardless of the quantity.
Safety data sheets provide detailed information about the potential hazards, handling, and emergency measures for substances. They are required under various regulations, such as the Occupational Safety and Health Administration (OSHA) Hazard Communication Standard (HCS) in the United States.
The quantity of the substance does not determine the need for an SDS. For example, even if a small amount of a highly hazardous substance is present, an SDS is still necessary for safety reasons.
SDS help workers and emergency personnel understand the risks associated with a substance and how to handle it safely. It is essential to follow proper safety protocols and provide SDS for hazardous substances, regardless of the quantity.
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what is the equation for, 5 more then 3 times the number is one-third more then the sum of the number and itself
Find the value of x.
Area of triangle = 40
Will mark as brainliest if it's correct :))
Answer:
4
Step-by-step explanation:
1/2 ×base ×height =40
1/2 × (x+4) × x=40
(x+4) + x =80(40×2)
x×x + 4x =80
x×x + x =80/4
x×x +x =20
x=4
hope it helps....plz mark me brainliest :)
The value of x in for the triangle having an area of 40 units is 71.6 units.
What is a triangle?A triangle is a three-sided closed-plane figure form by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know area of a triangle is (1/2)×base×height.
Therefore, The area of the rectangle with a base of 'x+4' units and height of 'x' units is,
(1/2)×(x+4)×x.
Given, Area is 40.
Therefore,
(1/2)×(x+4)×x = 40.
x² + 4x = 80.
x² + 4x - 80 = 0.
Solving the quadratic we get, x = 7.16 units.
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Find the remainder using synthetic division, if it exists
Answer:
remainder = 5
Step-by-step explanation:
Using synthetic division
\(\frac{1}{2} \) | 2 7 - 8 7
↓ 1 4 - 2
-----------------------
2 8 - 4 5 ← remainder
The remainder is 5
evaluate the data in the figure below. what aspects of the data are researchers likely to be confident about? what aspects of the data are more likely to change as more data are collected?
Aspects of the data that are more likely to change as more data are collected include inconsistent trends, small sample sizes, and the presence of outliers.
1. Aspects researchers are likely to be confident about:
Consistent trends: If there is a clear, consistent trend in the data, researchers may have more confidence in these aspects.
Large sample size: When the data is based on a large number of observations, researchers may have greater confidence in the results.
Statistical significance: If the results show statistically significant differences or correlations, this can increase the researchers' confidence in the data.
2. Aspects that are more likely to change as more data are collected:
Inconsistent trends: If the data shows fluctuating trends, more data collection may lead to changes in the interpretation of the data.
Small sample size: When the data is based on a small number of observations, the results may not be as reliable and can change as more data is collected.
Outliers: Outliers can greatly affect the interpretation of the data, but as more data is collected, their impact may be reduced, and the overall understanding of the data can change.
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What z-score has 2.5% of the normal distribution below it?
The z-score that has 2.5% of the normal distribution below it is approximately 2.06.
To find the z-score that has 2.5% of the normal distribution below it, we need to use the standard normal distribution table (also known as the z-table or normal distribution table). This table shows the area under the standard normal curve to the left of a given z-score.
First, we need to find the area to the left of the desired z-score, which is 2.5%. Then, we need to find the corresponding z-score in the z-table.
Looking at the z-table, we find the row that contains the first digit(s) of the desired z-score, which is 2.5 in this case. Then, we find the column that corresponds to the second decimal place of the desired z-score, which is 0.00 in this case. The intersection of this row and column gives us the area under the standard normal curve to the left of the z-score.
In this case, we find that the area to the left of the z-score is 0.4938. To find the z-score that corresponds to this area, we look in the body of the table and find the closest value to 0.4938, which is 0.01. The corresponding z-score in the row and column headers is 2.06.
Therefore, the z-score that has 2.5% of the normal distribution below it is approximately 2.06.
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Systolic Blood Pressure (SBP) of 13 workers follows normal distribution with standard deviation 10. SBP are as follows: 129, 134, 142, 114, 120, 116, 133, 142, 138, 148 , 129, 133, 140_ Find the 99%0 confidence interval for the mean SBP level: (124.84 (129.84 (126.84 (125.84 139.16) 139.16) 137.16) 138.16)
Answer:The 99% confidence interval is
To find the 99% confidence interval for the mean systolic blood pressure (SBP) level, we use the formula:
CONFIDENCE INTERVAL = Mean ± Z * (Standard Deviation / √n)
Where:
Mean is the sample mean of SBP
Z is the Z-score corresponding to the desired confidence level
Standard Deviation is the population standard deviation
Explanation:
Given that the sample size is 13 and the standard deviation is 10, we need to calculate the sample mean and the Z-score for the 99% confidence level.
First, we calculate the sample mean:
Mean = (129 + 134 + 142 + 114 + 120 + 116 + 133 + 142 + 138 + 148 + 129 + 133 + 140) / 13
= 1724 / 13
≈ 132.62
Next, we need to determine the Z-score for a 99% confidence level. The Z-score can be found using a Z-table or a statistical calculator. For a 99% confidence level, the Z-score is approximately 2.576.
Now, we can calculate the confidence interval:
Confidence Interval = 132.62 ± 2.576 * (10 / √13)
132.62 ± 2.576 * (10 / 3.6056)
≈ 132.62 ± 2.576 * 2.771
≈ 132.62 ± 7.147
Therefore, the 99% confidence interval for the mean SBP level is approximately (125.47, 139.77).
Find the value of the sec 19° using your calculator.A. 0.946B. 1.011C. 0.989D.1.058
The value of sec 19° is approximately 1.058, which corresponds to answer choice D.
To find the value of sec 19° using a calculator, follow these steps:
Turn on your calculator and make sure it is in degree mode.
Enter "19" and press the "cos" button. This will give you the value of cos 19°.
Press the "1/x" button, which represents the reciprocal function, to find the value of sec 19°.
Using this method, we get:
cos 19° = 0.948
1/cos 19° = 1/0.948 ≈ 1.058
Therefore, the value of sec 19° is approximately 1.058, which corresponds to answer choice D.
It is important to note that some calculators may have slight variations in their calculations due to rounding or other factors. However, the answer should be very close to 1.058.
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Find the solution to the initial value problem. - 4x z''(x) + z(x)=94 **.z(0)=0, 2' (O) = 0 The solution is z(x) = o
The given differential equation is - 4x z''(x) + z(x)=94.The initial conditions are given as:z(0)=0 and 2' (O) = 0Let us assume that the solution of the differential equation is given as:z(x) = xkwhere k is a constant to be determined.
Let us now substitute the assumed value of z(x) in the differential equation and find the value of k.-4x z''(x) + z(x)= 94Substituting z(x) = xk in the above equation, we get,-4x [k(k-1)]x^(k-2) + xk= 94-4k(k-1) x^k-2 + xk = 94On rearranging the above equation, we get,-4k(k-1) x^k-2 + xk = 94On comparing the coefficients of xk and xk-2, we get,-4k(k-1) = 0and 1 = 94Therefore, k = 0 and this is the only possible value of k.
Thus, we have z(x) = x^0 = 1 as the solution. However, this solution does not satisfy the given initial conditions z(0)=0 and 2' (O) = 0. Therefore, the given initial value problem has no solution. Thus, the solution is z(x) = o.
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Given, the initial value problem-\(4x z''(x) + z(x)=94, z(0)=0, 2'(0) = 0\)
To solve this problem, we can assume the solution of the form
\(z(x) = x^kAlso, z'(x) = kx^(k-1) and z''(x) = k(k-1)x^(k-2)\)
Substituting these values in the given differential equation
\(-4x z''(x) + z(x)=94-4xk(k-1)x^(k-2) + x^k = 94x^k - 4k(k-1)x^k-2 = 94\)
Solving this we get,k = ±√(47/2)
The general solution of the differential equation will be -z(x) = Ax^k + Bx^(-k)
where A and B are constants. From the initial conditions,
z(0) = 0z'(0) = 0Therefore,
A = 0 and
B = 0.So, the solution is z(x) = 0
Hence, the solution to the given initial value problem is z(x) = 0 and is independent of x.
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FIRST TO ANSWER WILL GET BRAINLIEST!
Answer:
I think your answer would be 12x - 2
If this is wrong then im sorry
Answer:
12x-2
Step-by-step explanation:
5x+1=JK
7x-3=KL
JL= JK + KL
= 5x+1+7x-3
=12x-2
therefore JL = 12x-2
a placement test is administered to collegiate freshmen. the test is known to be approximately normal with a mean of 65 and a standard deviation of 5. sheila scored a 59 on this test. does this score place sheila in the bottom 10% of test takers?
Sheila's score of 59 does not place her in the bottom 10% of test takers.
To determine if Sheila's score of 59 places her in the bottom 10% of test takers, we need to calculate her z-score and compare it to the z-score that corresponds to the 10th percentile.
The z-score formula is given by:
z = (x - μ) / σ
where:
x = Sheila's score
μ = Mean of the test
σ = Standard deviation of the test
Given:
Sheila's score (x) = 59
Mean (μ) = 65
Standard deviation (σ) = 5
Substituting the values into the formula:
z = (59 - 65) / 5
z ≈ -1.2
Now, we need to find the z-score corresponding to the 10th percentile. This can be done using a standard normal distribution table or a statistical calculator. The z-score for the 10th percentile is approximately -1.28.
Since Sheila's z-score of -1.2 is greater than -1.28, it means her score is higher than the 10th percentile. Therefore, Sheila's score of 59 does not place her in the bottom 10% of test takers.
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LAST ONE \small \angle L and \small \angle M are supplementary, \small m\angle L=12x+45 and \small m\angle M=18x-30. Determine the measure of each angle
Answer:
\( m\angle L = 111\degree \\
m\angle M = 69\degree \)
Step-by-step explanation:
Since, angle L and angle M are supplementary.
\(\therefore m\angle L + m\angle M= 180\degree \\ \therefore \: 12x + 45 + 18x - 30 = 180 \degree \\ \therefore \: 30x + 15= 180 \degree\\ \therefore \: 30x= 180 \degree - 15 \degree\\ \therefore \: 30x= 165 \degree \\ x = \frac{165 \degree}{30} \\ x = 5.5 \degree \\ \\ m\angle L = 12x + 45 \\ m\angle L = 12 \times 5.5 + 45 \\ m\angle L = 66 + 45 \\ \huge \red{ \boxed{ m\angle L = 111 \degree}} \\ \\ m\angle M=18x - 30 \\ m\angle M=18 \times 5.5 - 30 \\ m\angle M=99 - 30 \\ \huge \purple{ \boxed{ m\angle M=69 \degree}} \\ \)
While Zihao was pooping, Zihao-2 ringed to the door. Find the speed of Zihao to open the door, when toilet is on 25 m in front of the door for 5 sec
The speed of Zihao to open the door, when toilet is on 25 m in front of the door for 5 sec is 5m/sec.
What is meant by speed, distance and time?The formula used to explain the relationship between speed, distance, and time is speed distance time. That is speed = distance time. Alternatively, you can calculate the time by dividing the distance traveled by the speed. You can figure out the third input if you know two of the inputs. For instance, the length of the line segment that connects two points equals the distance between them. The formula for finding the distance between two points in a two-dimensional plane—which can be expanded to discover the distance between two points in a three-dimensional plane as well—is derived using the Pythagoras theorem.
Given,
Distance=25m
Time=5sec
Speed?
We know that,
Speed=Distance/Time
Speed=25/5
Speed=5m/sec
Therefore, the speed of Zihao to open the door, when toilet is on 25 m in front of the door for 5 sec is 5m/sec.
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Helen and Stephen both simplify the exponential expression 4 ln21 3 e −
Stephen makes the mistake in the expression as he uses the 4 in the root and the 3 in the power and the expression actually is: ∛(16)/e
How to illustrate the information?We start with the expression:
exp( (4/3)*ln(2) - 1)
Here we can use that:
exp(ln(x)) = x.
and e^(a + b) = e^a*e^b.
the first step here is:
e^((4/3)*ln(2) - 1) = e^((4/3)*ln(2)*e^(-1)
So the first step of Stephen is correct, but the first step of Helen is not, you can not simplify the expression in that way.
now, we have that:
a*ln(x) = ln(x^a)
then we can write:
(4/3)*ln(2) = ln(2^(4/3))
and e^(ln(2^(4/3)) = 2^(4/3)
then we have:
e^((4/3)*ln(2)*e^(-1) = 2^(4/3)/e
now we can write this as:
∛(2^4)/e
Here is where Stephen makes the mistake, he uses the 4 in the root and the 3 in the power.
The expression actually is: ∛(16)/e
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Round all money answers to nearest
Fill in the steps to find the answer.
1. The simple interest on $750 borrowed
for 3 years at an interest rate of 15%.
22
Answer:
S.I=$3375
Step-by-step explanation:
S.I=PRT/100
S.I=750×15×3/100
S.I=33750/10
S.I=$3375
A teacher wants to test whether his students will perform better on their exam if the room where they take the exam is cooled to a freezing temperature. On the day of an exam, he randomly assigned his class into two groups. One group took the exam under regular conditions and one group took the exam in a freezing cold room. After the exam, the teacher calculated the average score in each group. Assume that all conditions for inference have been met. Which of these is the most appropriate test and alternative hypothesis?.
Considering the situation described in the text, we have that:
A two-sample t-test is used.The null hypothesis is \(H_0: \mu_F - \mu_R = 0\). The alternative hypothesis is \(H_1: \mu_F - \mu_R > 0\).In this problem, we consider that:
\(\mu_R\) is the mean score of students who took the exam in regular conditions.\(\mu_F\) is the mean score of students who took the exam in freezing cold conditions. What are the hypothesis tested?At the null hypothesis, we test if both groups have the same mean score, that is, the subtraction of the means is of 0, hence:
\(H_0: \mu_F - \mu_R = 0\)
At the alternative hypothesis, we test if students that did the test in freezing cold conditions performed better, that is, the subtraction is positive, hence:
\(H_1: \mu_F - \mu_R > 0\).
We have the comparison(subtraction) of two samples, and we have the standard deviation for each sample, not for the population, hence a two-sample t-test is used.
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please halp!!!! ILL BRAINLIST AND GIVE 23 POINTS
Answer: D, C = 0.02t + 40
Answer:
D
Step-by-step explanation:
i believe D because he's paying that money so he will have to add it.
also i had this question
-2w - 5w=
Please help
Answer:
-7w
Step-by-step explanation:
Answer:
-7w
Step-by-step explanation:
Solve the quadratic equation
(x+2)^2=1
Answer: x = -1, -3
Step-by-step explanation:
Answer:
Step-by-step explanation:
Taking the square root of both sides leads to
x + 2 = ±1
which in turn comes out to x = -2 + 1, or x = -1, and x = -2 - 1, or x = -3