Calculate the sum of the areas of two rectangles below:


a) mn+ 9m - 10
b) n + 3 + 3m - 5
c) mn + 9m + 5
d) 12

The closest value to the P-value for a test statistic of -1.86 is 0.0628. Hence, option C is the correct answer to this question.

The P-value for a test statistic of -1.86 in a one-sample two-sided z-test for a population proportion can be found using a standard normal table or a calculator with a built-in function for z-scores. It represents the probability of obtaining a test statistic as extreme or more extreme than the one observed, under the assumption that the null hypothesis is true.

In this case, the test statistic of -1.86 is on the left tail of the standard normal distribution, since it is negative and represents a deviation to the left of the mean. To find the P-value, we would need to look up the area under the standard normal curve to the left of -1.86.

Using a standard normal table, we can see that the area under the curve to the left of -1.86 is approximately 0.0314. However, since this is a two-sided test, we also need to consider the area in the right tail, which is also 0.0314. Therefore, the P-value for a test statistic of -1.86 in a one-sample two-sided z-test for a population proportion is approximately 0.0314 + 0.0314 = 0.0628.

Hence, the answer to the P-value is 0.0628.

Read more about the z-test:

brainly.com/question/29494642

#SPJ4

Answer:

ttttttttttttttttttttttttttttttttttttttttttt

Step-by-step explanation:

Hey there!

• Formula:

SUM of ALL TERMS / NUMBER Of TERMS = MEAN

53 + 13 + 34 + 41 + 26 + 61 + 34+ 13+ 69

66 + 34 + 41 + 26 + 61 + 34 + 13 + 69

100 + 41 +26 + 61 + 34 + 13 + 69

141 + 26 + 61 + 34 + 13 + 69

167 + 61 + 34 + 13 + 69

228 + 34 + 13 + 69

262 + 13 + 69

275 + 69

= 344

You have NINE terms ALL TOGETHER

MEAN ≈ 334/9

YOUR MEAN IS ≈ 38.2222

Therefore your answer: 38.2222 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

\(3x^{4}\)

Step-by-step explanation:

I suggest looking lessons on it online if you don't understand... It's hard to do your work especially if you don't understand it. Or if your online, go to past lessons or something.

Answer:

The answer is 3x^4

Step-by-step explanation:

This function is not one-to-one because different ages can have the same height.

This function f(t) is not one-to-one because different ages can have the same height. For example, two people at age 20 could have the same height, even though one is 20 years old and the other is not. Additionally, two people of different ages can have the same height, such as a 5 year old and a 25 year old with the same height. One-to-one functions require that for every input there is only one output, which is not the case for this function. This is because height is not necessarily determined solely by age, and can be influenced by genetics and other environmental factors. Therefore, for any given age, there could be multiple possible heights, and this function does not satisfy the definition of a one-to-one function.

Learn more about function here

https://brainly.com/question/29633660

#SPJ4

Answer:

Radius: 12

Diameter: 24

Step-by-step explanation:

Diameter is the width of the circle across while radius is the length from the centre of the circle outward.

It's very simple to get answer of it.

\(4x = 28\)

\(x = \frac{28}{4} \)

\(x = 7.\)

Hence, the value of x is 7.

Answer:

Step-by-step explanation:

In this question we are given an equation that is 4x = 28 . And we have asked to find the value of x .

How to solve these types of equation ?

For solving such types of Equation basically equation having one variable we have to isolate the variable and then further solve them to find the value of given variable .

Solution : -

\( \longmapsto \qquad \: 4x = 28\)

For finding value of x , we need to isolate x . So , we are Dividing with 4 on both sides :

\( \longmapsto \qquad \: \dfrac{ \cancel{4}x}{ \cancel{4}} = \cancel{ \dfrac{28}{4} }\)

Now , by cancelling 4 with 4 on left side and dividing 28 by 4 on right side we get :

\( \longmapsto \qquad \: \red{\underline{\boxed{\frak{x = 7}}}}\)

Verifying : -

We are checking our answer by substituting value of x in given equation . So ,

Therefore, our value of x is correct .

Answer:

C. 1

Step-by-step explanation:

Use the formula to find slope:

(y2-y1)/(x2-x1)

Plug in the numbers you have.

(9 - 2)/(3 - -4)

7/7

1

Slope of the line shown below is option C. 1

Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.

Slope can also be defined as the tangent of the angle that the line is making with the positive X axis.

Given is a line.

Slope must be positive since the line is drawn in the positive direction.

Consider two points along the line.

Consider (-4, 2) and (3, 9).

Slope = change in y coordinates / change in x coordinates

          = (9 - 2) / (3 - -4)

          = 7 / 7

          = 1

Hence the slope is 1.

To learn more about Slope, click :

https://brainly.com/question/19131126

#SPJ7

Answer:

y=5/2x+4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

4P -28 Step-by-step explanation:

Answer:

Both expression give -12

Step-by-step explanation:

4(p - 5) - 8

4p - 20 - 8

p = 2

4(2) - 28

8 - 20

- 12

4p - 28

p = 2

4 ( 2) - 28

8 - 28

-12

The set of all elements that are in either A or B is the union of A and B, which is 1, 2, 3, 4, 5, 6, 8, 9, 10. As a result, A u B = 1, 2, 3, 4, 5, 6, 8, 9, 10

Set operations are done on two or more sets to produce a combination of components based on the operation. There are three primary sorts of operations done on sets in a set theory, such as: Intersection of sets () Union of sets () Set difference (-).

¡) (A n B) u C:

The value of the intersection of A and B is 5, 8. As a result, (A n B) = 5, 8. The union of this set with C is thus 1, 2, 3, 4, 5, 6, 8. As a result, (A n B) u C = 5, 8 u 1, 2, 3, 4, 5, 6, 8 = 1, 2, 3, 4, 5, 6, 8.

¡¡) (A-B) u C:

A-B is the set of elements in A that are not in B, which is 3, 6. The union of this set with C is thus 1, 2, 3, 4, 5, 6, 8. As a result, (A-B) u C = 3, 6 u 1, 2, 3, 4, 5, 6, 8 = 1, 2, 3, 4, 5, 6, 8.

¡¡¡) (A u B):

The set of all elements that are in either A or B is the union of A and B, which is 1, 2, 3, 4, 5, 6, 8, 9, 10. As a result, A u B = 1, 2, 3, 4, 5, 6, 8, 9, 10.

To know more about  set operations here-https://brainly.com/question/13014058

#SPJ1

¡) (A ∩ B) ∪ C  = {1,2,3,4,5,6,8}.

¡¡) (A-B) ∪ C = {1,2,3,4,5,6,8,10}.

¡¡¡) (A ∪ B)' is the set of elements that are in U but not in {1,2,3,4,5,6,8,9,10}. This is simply the set {7}.

What is probability?

Probability is a measure of the likelihood of an event occurring.

Recall that:

A ∩ B denotes the intersection of sets A and B, i.e., the set of elements that are in both A and B.

A ∪ B denotes the union of sets A and B, i.e., the set of elements that are in either A or B or both.

A' denotes the complement of set A, i.e., the set of elements that are not in A.

Using these notations, we can solve each part of the question as follows:

¡) (A ∩ B) ∪ C

First, we need to find A ∩ B, which is the set of elements that are in both A and B. We can see that A={3,5,6,8,10} and B={1,2,4,5,8,9}. So, A ∩ B={5,8}.

Next, we take the union of (A ∩ B) and C. We have C={1,2,3,4,5,6,8}, so the final set is:

(A ∩ B) ∪ C = {5,8} ∪ {1,2,3,4,5,6,8} = {1,2,3,4,5,6,8}

Therefore, (A ∩ B) ∪ C = {1,2,3,4,5,6,8}.

¡¡) (A-B) ∪ C

First, we need to find A-B, which is the set of elements that are in A but not in B. We can see that A={3,5,6,8,10} and B={1,2,4,5,8,9}. So, A-B={3,6,10}.

Next, we take the union of (A-B) and C. We have C={1,2,3,4,5,6,8}, so the final set is:

(A-B) ∪ C = {3,6,10} ∪ {1,2,3,4,5,6,8} = {1,2,3,4,5,6,8,10}

Therefore, (A-B) ∪ C = {1,2,3,4,5,6,8,10}.

¡¡¡) (A ∪ B)'

Recall that A ∪ B denotes the union of sets A and B, i.e., the set of elements that are in either A or B or both. So, (A ∪ B)' denotes the complement of A ∪ B, i.e., the set of elements that are not in A or B.

We can see that A={3,5,6,8,10} and B={1,2,4,5,8,9}. So, A ∪ B={1,2,3,4,5,6,8,9,10}. Therefore, (A ∪ B)' is the set of elements that are not in {1,2,3,4,5,6,8,9,10}.

The universal set U={1,2,...,10}, so (A ∪ B)' is the set of elements that are in U but not in {1,2,3,4,5,6,8,9,10}. This is simply the set {7}.

Therefore, (A ∪ B)'={7}.

To learn more about probability from the given link:

https://brainly.com/question/30034780

#SPJ1

Answer:

The probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Step-by-step explanation:

We use the Exponential distribution,

Since we are given that on average, 5 pregnant women with high blood pressure come per week,

So, average = m = 5

Now, on average, 5 people come every week, so,

5 women per week,

so, we get 1 woman per (1/5)th week,

Hence, the mean is m = 1/5 for a woman arriving

and λ = 1/m = 5 = λ

we have to find the probability that it takes higher than a week for a high BP pregnant woman to arrive, i.e,

P(X>1) i.e. the probability that it takes more than a week for a high BP pregnant woman to show up,

Now,

P(X>1) = 1 - P(X<1),

Now, the probability density function is,

\(f(x) = \lambda e^{-\lambda x}\)

And the cumulative distribution function (CDF) is,

\(CDF = 1 - e^{-\lambda x}\)

Now, CDF gives the probability of an event occuring within a given time,

so, for 1 week, we have x = 1, and λ = 5, which gives,

P(X<1) = CDF,

so,

\(P(X < 1)=CDF = 1 - e^{-\lambda x}\\P(X < 1)=1-e^{-5(1)}\\P(X < 1)=1-e^{-5}\\P(X < 1) = 1 - 6.738*10^{-3}\\P(X < 1) = 0.9932\\And,\\P(X > 1) = 1 - 0.9932\\P(X > 1) = 6.8*10^{-3}\\P(X > 1) = 0.0068\)

So, the probability that on a particular week, the hospital will receive on high BP pregnant woman is 0.0068

Answer:

A. If you send me an e-mail message, then I will remember to send you the address.

B. If you were born in the United States, then you can be a citizen of the United States.

C. If you keep your textbook, then it will be a useful reference in your future courses.

D. If the Red Wings’s goalie plays well, then they will win the Stanley Cup.

E. If you get the job, then you had the best credentials.

F. If there is a storm, then beach erodes.

G. If you can log on to the server, then you must have a valid password.

H. If you begin your climb too late, then you will not reach the summit

Step-by-step explanation:

The statement which is written in the form, "if p, then q" symbolized by p-->q is known as a conditional statement. p is known as the hypothesis, while q is the conclusion. In such statements, the hypothesis and the conclusion may or may not have a correlation. But for the statement to be true, the conclusion must be true even if the hypothesis is wrong.

In statements A, the condition for sending the address is if I receive an email message.

In statement B, the condition for being a citizen is if one is born in the United States.

In statement C, the condition for my books to be a useful reference is if I keep them.

In statement D, the condition for winning the Stanley Cup by the Red Wings is if their Goalie plays well.

In statement E, the condition I get the job is if I had the best credentials.

In statement F, the condition for the beach eroding is if there's a storm.

In statement G, the only way I can log on to the server is if I have the correct password. In each of these statements, the conclusions correlates with the hypothesis. The conditions in the hypothesis need to be met for the conclusion to be true.

Statement H gives a conclusion which depends on not meeting the conditions of the hypothesis which is that if I don't start climbing the mountain early (if I start late), I will not reach the summit.

The correct expression is 5/a = 1. There is no need to introduce an additional variable "x".

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

It represents the number of pieces removed from the whole. The denominator of a fraction is the numerical value that comes before the brings together various.

The error in the reasoning is that it assumes that multiplying the second fraction by "x" will result in an equivalent expression to 5/a. However, this is not necessarily true.

To correct the error, we can use the property of reciprocals, which states that if a/b = c/d, then b/a = d/c. Using this property, we can rewrite the given equation as:

a/5 = b/3

5/a = 3/b (multiplying both sides by 5/a)

5/a = (b/3) * (3/b) (multiplying both sides by the reciprocal of b/3)

5/a = 1

Therefore, the correct expression is 5/a = 1. There is no need to introduce an additional variable "x".

Learn more about fraction on:

https://brainly.com/question/28372533

#SPJ1

The value of b would be 25/4.

An equation is an expression that shows the relationship between two or more numbers and variables.

Since the equation of the line is 2y = 4.5, where c is a constant, the y-coordinate of the intersection point must be c.

The parabola has a equation y = -4x² + bx, where bis a positive constant.

The solution to this quadratic equation will gives the x-coordinate(s) of the point(s) of intersection

Since it’s given that the line and parabola intersect at exactly one point, the equation y = -4x² + bx has exactly one solution.

A quadratic equation in the form ax²+bx+c has exactly one solution when its discriminant b²−4ac is equal to 0.

Therefore, if the line y = 22.5 intersects the parabola defined by exactly one point, then by = 25/4 .

Learn more about equations here;

https://brainly.com/question/10413253

#SPJ1

Let's see each one:

The first says 35.87 = 35.8, but that is not true since 35.87 > 35.8

The second says 38.016 < 38.01, but that is not true since 38.016 > 38.01

The third says 53.467 > 356.784 but that is not true since 53.467 < 356.784

The last one says 89.260 < 89.281, and that is correct. That is the only true sentence.

Answer:

In the equation y = 2 cos(5x + 3) - 6, we can ignore the coefficients 2 and -6 for the purposes of calculating the period because they do not change the period. They only change the amplitude (2) and vertical shift (-6) of the function.

The coefficient 5 in front of x inside the cosine function affects the period of the function. It is a horizontal compression/stretch of the graph of the function.

The period of the basic cosine function, y = cos(x), is 2π. When there is a coefficient (let's call it b) in front of x, such as y = cos(bx), the period becomes 2π/b.

So, in your case, b = 5, so the period T of the function y = 2 cos(5x + 3) - 6 is:

T = 2π / 5

This is the simplest form for the period of the given function.

The degree of the polynomial is 9.

What is polynomial in maths?

In mathematics, a polynomial is an expression composed of variables (also called indeterminates) and coefficients, and involves only addition, subtraction, multiplication, and non-negative integer powers of the variables. An example of a single indefinite x-polynomial is x2 − 4x + 7.

                                     Polynomials can be classified by the number of terms with nonzero coefficients, so a 1st polynomial is called a monomial and a 2nd polynomial is called a monomial. Binomials, tripartite polynomials are called trinomials. The term "quaternomial" is sometimes used for a fourth-order polynomial.  

Determine the degree of  y = 10x⁹ - 18x⁸ + 12x⁶

                  Degree = 9

Learn more about polynomial

brainly.com/question/11536910

#SPJ1

The Polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

The quotient and remainder when the polynomial x⁵ + x³ - 5 is divided by x - 2, we can use polynomial long division. Here's the step-by-step process:

1. Write the dividend (x⁵ + x³ - 5) and the divisor (x - 2).

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

2. Divide the first term of the dividend (x⁵) by the first term of the divisor (x) to get x⁴. Write x⁴ above the line. x⁴

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

3. Multiply the divisor (x - 2) by the quotient term (x⁴) to get x⁵ - 2x⁴. Write this under the dividend and subtract it.  x⁴

  x - 2 | x⁵ + x³ + 0x² + 0x - 5

 - (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

4. Bring down the next term (-5) from the dividend.

x⁴ + 3x³

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

5. Divide the first term of the new dividend (3x⁴) by the first term of the divisor (x) to get 3x³. Write 3x³ above the line.

 x⁴ + 3x³

   x - 2 | x⁵ + x³ + 0x² + 0x - 5

 - (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

6. Multiply the divisor (x - 2) by the new quotient term (3x³) to get 3x⁴ - 6x³. Write this under the new dividend and subtract it.

x⁴ + 3x³

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

- (3x⁴ - 6x³)

6x³ + 0x² + 0x - 5

7. Repeat steps 4-6 until you have subtracted all terms.

x⁴ + 3x³ + 6x² + 12x + 24

x - 2 | x⁵ + x³ + 0x² + 0x - 5

- (x⁵ - 2x⁴)

3x⁴ + 0x³ + 0x² + 0x - 5

- (3x⁴ - 6x³)

6x³ + 0x² + 0x - 5

- (6x³ - 12x²)

12x² + 0x + 0

 - (12x² - 24x)

 24x + 0

- (24x - 48)

 48

8. The quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

Therefore, when the polynomial x⁵ + x³ - 5 is divided by x - 2, the quotient is x⁴ + 3x³ + 6x² + 12x + 24, and the remainder is 48.

For more questions on Polynomial .

https://brainly.com/question/2833285

#SPJ8

a. The x-coordinate of the vertex (2) represents the time it takes for the ball to reach its maximum height, and the y-coordinate (182) represents the maximum height itself.

b. The tennis ball is initially at a height of 126 feet above the ground.

a. The x-coordinate of the vertex is 2. To find the y-coordinate, we substitute this value back into the equation:

h(2) = -14(2)² + 56(2) + 126

h(2) = -14(4) + 112 + 126

h(2) = -56 + 112 + 126

h(2) = 182

Therefore, the vertex of the equation is (2, 182). In this context, the vertex represents the highest point reached by the tennis ball during its trajectory. The x-coordinate of the vertex (2) represents the time it takes for the ball to reach its maximum height, and the y-coordinate (182) represents the maximum height itself.

b. In order to find the y-intercept, we set t equal to zero and evaluate h(t):

h(0) = -14(0)² + 56(0) + 126

h(0) = 126

The y-intercept is 126. In this context, the y-intercept represents the initial height of the ball when it is thrown. Therefore, the tennis ball is initially at a height of 126 feet above the ground.

Learn more about equations

https://brainly.com/question/2972832

#SPJ1

Answer:

11.52 years

Step-by-step explanation:

Say our initial investment was P

we want our total investment to result in twice of P, so 2P

we have x as our time continuously

2P=P(1.062)^x

2=1.062^x

log1.062(2)=x

x=11.52

Answer:

Base rate: $120

Rate: $2 per person

Equation: f(x)=2x+120

Step-by-step explanation:

If 30 people cost $180 and 50 people cost $220, the charge for 20 extra people is $40.  This means, \(\frac{220-180dollars}{50-30people}=\frac{40dollars}{20people}=2\frac{dollars}{person}\).

These values correspond to a base rate for the bus of $120.

The function for the cost per bus with x number of people on it would be:

\(f(x)=2x+100\)

This can be checked by using the values given in the problem:

\(f(30)=2(30)+120=180\\f(50)=2(50)+120=220\)

The base rate of $120 and $2 per person satisfies the given equation and established values.

Answer:

326

Step-by-step explanation:

The value of the given expression is 326.

Given:

The given expression 2 hundreds + 12 tens + 6 ones.

To find:

The value of the given expression.

Explanation:

The numeric form of given expression is:

2 hundreds + 12 tens + 6 ones

2 hundreds + 12 tens + 6 ones

2 hundreds + 12 tens + 6 ones

Therefore, the value of the given expression is 326.

Step-by-step explanation:

1) it is composed of 20% of fat, 17% of bone, 50% of muscle and 13% others(minerals)

2) muscle makes up the greatest part and the minerals makes up the least.

hope it heals u.

make me brain list Pls.

Answer:

\(x = 16\)

Step-by-step explanation:

Given

\(log_{16}(x) + log_4(x) + log_2(x) = 7\)

Required

Solve for x

\(log_{16}(x) + log_4(x) + log_2(x) = 7\)

Change base of 16 and base of 4 to base 2

\(\frac{log_2(x)}{log_2(16)} + \frac{log_2(x)}{log_2(4)} + log_2(x) = 7\)

Express 16 and 4 as 2^4 and 2^2 respectively

\(\frac{log_2(x)}{log_2(2^4)} + \frac{log_2(x)}{log_2(2^2)} + log_2(x) = 7\)

The above can be rewritten as:

\(\frac{log_2(x)}{4log_22} + \frac{log_2(x)}{2log_22} + log_2(x) = 7\)

\(log_22 = 1\)

So, we have:

\(\frac{log_2(x)}{4*1} + \frac{log_2(x)}{2*1} + log_2(x) = 7\)

\(\frac{1}{4}log_2(x) + \frac{1}{2}log_2(x) + log_2(x) = 7\)

Multiply through by 4

\(4(\frac{1}{4}log_2(x) + \frac{1}{2}log_2(x) + log_2(x)) = 7 * 4\)

\(log_2(x) + 2}log_2(x) + 4log_2(x) = 28\)

\(7log_2(x) = 28\)

Divide through by 7

\(\frac{7log_2(x)}{7} = \frac{28}{7}\)

\(log_2(x) = 4\)

Apply the following law of logarithm:

If \(log_ab = c\) Then \(b = a^c\)

So, we have:

\(x = 2^4\)

\(x = 16\)

Answer:

1/3

Step-by-step explanation:

186 cm³ will be the surface area of the given figure.

To calculate the surface area of the given figure, we need to add the surface area of two cubes and reduce the area of the hidden part.

Thus,

Total surface area = Surface area of bigger cube + surface area of the smaller cube - 2* surface area of the hidden part.

So,

Total surface area = 6*(5*5)+6*(3*3)-2*(3*3)

Total surface area = 150+54-18

Total surface area = 186

Therefore, the surface area of the given figure will be 186 cm³.

Learn more about the Surface area here:

https://brainly.com/question/29298005

#SPJ1