Use the diagram below to answer the
following questions.
2x - 1
x + 7
B
X-4
What is the value of x?
X =
=
What is the perimeter of triangle ABC?
The perimeter is
units.

The P-values for a sample size of 12 and the following test statistics are as follows:

t0 = 2.55: P-value = 0.0220

t0 = 1.87: P-value = 0.1040

t0 = 2.05: P-value = 0.0450

t0 = 2.80: P-value = 0.0044

a. t0 = 2.55: P-value = 0.0220  

Since the hypothesis is one-tailed (μ>100), the P-value is calculated using the area to the right of the test statistic. The P-value for a test statistic of 2.55 with a sample size of 12 is 0.0220.

b. t0 = 1.87: P-value = 0.1040

Since the hypothesis is one-tailed (μ>100), the P-value is calculated using the area to the right of the test statistic. The P-value for a test statistic of 1.87 with a sample size of 12 is 0.1040.

c. t0 = 2.05: P-value = 0.0450

Since the hypothesis is one-tailed (μ>100), the P-value is calculated using the area to the right of the test statistic. The P-value for a test statistic of 2.05 with a sample size of 12 is 0.0450.

d. t0 = 2.80: P-value = 0.0044

Since the hypothesis is one-tailed (μ>100), the P-value is calculated using the area to the right of the test statistic. The P-value for a test statistic of 2.80 with a sample size of 12 is 0.0044.

To learn more about hypothesis visit:

https://brainly.com/question/15980493

#SPJ4

Answer:

y=-0.6

Step-by-step explanation:

I might be wrong but that's what I got.

Answer:

6  1/3 or 6.333333. . .

Step-by-step explanation:

Original Equation:

2(y - 4) + 4y = 11 + 3y

Use distributive property.

2 x y = 2y

2 x (-4) = -8

Plug these values back into the equation:

2y - 8 + 4y = 11 + 3y

Add 8 to both sides

2y + 4y = 19 + 3y

Add 2y and 4y together

6y = 19 + 3y

Subtract 3y from both sides

3y = 19

Divide both sides by 3

6.3333333333333333333. . . . .

6 1/3

Hope I helped :)

Please consider Brainliest :)

Answer:

Step-by-step explanation:

The answer would be O C. (x-2)(x-1)

xD

Answer:

24x1.35=32.4

He should have recieved $32.40 in change.

the product of a rational number multiplied by itself.

Step-by-step explanation:

Lola's pet turtle walked 10 feet, and then half that length again. This means that Lola's pet turtle walked:

= 10 + (1/2 × 10) = 10 + 5 = 15 feet

Lola's baby brother walked 3 feet, and then half that length again. Total length walked will be:

= 3 + (1/2 × 3) = 3 + 1.5 = 4.5 feet

Lola's hamster walked 6.5 feet, and then half that length again. Total length walked will be:

= 6.5 + (1/2 × 6.5) = 6.5 + 3.25 = 9.75

Lola's mom walked x feet, and then half that length again. Total length walked will be:

= x + (1/2 × x) = x + 0.5x = 1.5x

Total feet walked by the whole member of the family will be:

= 15 + 4.5 + 9.75 + 1.5x

= 29.25 + 1.5x

Answer:

turtle: 10 + 5 = 15

brother:  3 + 1 1/2 = 4 1/2

hamster: 6 1/2 + 3 1/4 = 9 3/4

Mom: x + 1/2x = 1 \(\frac{1}{2}\)x

Step-by-step explanation:

Answer:

2.) 9.83

3.) 102.76

4.) 27.26

I hope this helps!!!

Rafe and Ashley used approximately 5353.2 square inches of canvas to make the lamp.

Let's call the length of the base rectangle "L" and the width "W." From the picture, we can see that the base rectangle measures 18 inches by 18 inches. Therefore, the area of one base rectangle is given by:

Area of a rectangle = Length × Width

Area of one base rectangle = L × W = 18 in × 18 in = 324 square inches

Since there are two identical base rectangles, the combined area of both rectangles is:

Total area of base rectangles = 2 × Area of one base rectangle = 2 × 324 square inches = 648 square inches

Let's calculate the perimeter of the base rectangle first:

Perimeter of a rectangle = 2 × (Length + Width)

Perimeter of the base rectangle = 2 × (18 in + 18 in) = 2 × 36 in = 72 inches

Now, the height of the triangular prism is given as 20.1 inches. Therefore, the area of each lateral face rectangle is given by:

Area of a rectangle = Length × Width

Area of one lateral face rectangle = Perimeter of base rectangle × Height = 72 in × 20.1 in = 1447.2 square inches

Since there are three identical lateral face rectangles, the combined area of all three rectangles is:

Total area of lateral face rectangles = 3 × Area of one lateral face rectangle = 3 × 1447.2 square inches = 4341.6 square inches

The height of the triangular face is the same as the height of the prism, given as 20.1 inches. Therefore, the area of each triangular face is given by:

Area of a triangle = (Base × Height) / 2

Area of one triangular face = (18 in × 20.1 in) / 2 = 181.8 square inches

Since there are two identical triangular faces, the combined area of both triangles is:

Total area of triangular faces = 2 × Area of one triangular face = 2 × 181.8 square inches = 363.6 square inches

Now, to find the total surface area of the lamp, we sum up the areas of all the faces:

Total surface area = Total area of base rectangles + Total area of lateral face rectangles + Total area of triangular faces

Total surface area = 648 square inches + 4341.6 square inches + 363.6 square inches

Total surface area = 5353.2 square inches

To know more about area here

https://brainly.com/question/14994710

#SPJ4

Complete Question:

Marius and his dad build a lamp in the shape of a triangular prism, open on the top and bottom. How many square inches of canvas did Marius and his dad use to make the lamp?

∂g/∂u is equal to 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v)).

To find the indicated derivative, we need to use the chain rule. Let's differentiate step by step:

Given:

g(u, v) = f(x(u, v), y(u, v))

f(x, y) = 7x³y³

x(u, v) = ucos(v)

y(u, v) = usin(v)

To find ∂g/∂u, we differentiate g(u, v) with respect to u while treating v as a constant:

∂g/∂u = (∂f/∂x) * (∂x/∂u) + (∂f/∂y) * (∂y/∂u)

To find ∂f/∂x, we differentiate f(x, y) with respect to x:

∂f/∂x = 21x²y³

To find ∂x/∂u, we differentiate x(u, v) with respect to u:

∂x/∂u = cos(v)

To find ∂f/∂y, we differentiate f(x, y) with respect to y:

∂f/∂y = 21x³y²

To find ∂y/∂u, we differentiate y(u, v) with respect to u:

∂y/∂u = sin(v)

Now, we can substitute these partial derivatives into the equation for ∂g/∂u:

∂g/∂u = (21x²y³) * (cos(v)) + (21x³y²) * (sin(v))

To find the simplified form, we substitute the given values of x(u, v) and y(u, v) into the equation:

x(u, v) = ucos(v) = u * cos(v)

y(u, v) = usin(v) = u * sin(v)

∂g/∂u = (21(u * cos(v))²(u * sin(v))³) * (cos(v)) + (21(u * cos(v))³(u * sin(v))²) * (sin(v))

Simplifying further, we get:

∂g/∂u = 21u⁵cos⁴(v)sin⁴(v)(cos(v) + u³cos⁴(v)sin²(v)sin(v))

Know more about derivative here:

https://brainly.com/question/25324584

#SPJ11

Answer:  \(m = 7.3\pi\)

I multiplied both sides by pi to isolate m.

Answer:

377 parents

Step-by-step explanation:

We start by writing an exponential equation

FV = PV(1 - r)^t

FV is future value = ?

PV is present value = 440

r is rate = 5/100 = 0.05

t = 3

Substituting these values

FV = 440(1 - 0.05)^3

FV = 377.245

This is approximately 377

The algebraic expression  3r+2p   represents the total amount of money Sophia will spend on flowers if she buys any number of roses and tulips.

Sophia will spend a total of $29 on flowers if she buys 7 roses and 4 tulips.

======================================================

Explanation:

r = number of roses

p = number of tulips

3r = cost of all the roses only ($3 each)

2p = cost of all the tulips only ($2 each)

3r+2p = total cost of all the flowers mentioned, both types

----------------------

To find the total cost Sophia spends on 7 roses and 4 tulips, we plug in r = 7 and p = 4.

3r+2p = 3*7+2*4 = 21+8 = 29

Sophia would spend $29 if she bought 7 roses and 4 tulips.

The 3*7 = 21 part is the cost for the roses only.

The 2*4 = 8 part is the cost of the tulips only

The sum of which is the total cost for both types of flowers.

Answer:

D

Step-by-step explanation:

Answer:c=2m+1.50

Step-by-step explanation:

If you plug in each mile for M that’s how you get the answer .

Answer:

Step-by-step explanation:

take 60 degree as reference angle

using cos rule

cos 60 = adjacent / hypotenuse

1/2 = 80/x

do cross multiplication

2*80 = x

160 = x

160.0 = x

The conclusion that is correct in a two-tailed test at α = .05 is There appears to be no difference in the mean occupancy rates.

From the given values:

Thus, the P-value = 0.1791

Interpret results. Since the P-value (0.1791) is greater than the significance level (0.05), we failed to reject the null hypothesis.

From the above test, we do not have sufficient evidence in favor of the claim that there is a difference in the mean occupancy rates.

Thus, option A is correct.

Read more about two-tailed test here:

https://brainly.com/question/4621112

#SPJ1

The Laplace Transform of f(t) isL{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...

                            = (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...= (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]

Given function is,f(t) ={ t, 0 < t < π π < t < 2π}

where f(t + 2 π) = f(t)

Let's take Laplace Transform of f(t)

                     L{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...f(t + 2π) = f(t)

∴ L{f(t + 2 π)} = L{f(t)}⇒ e^{2πs}L{f(t)} = L{f(t)}

     ⇒ [e^{2πs} − 1]L{f(t)} = 0L{f(t)} = 0

when e^{2πs} ≠ 1 ⇒ s ≠ 0

∴ The Laplace Transform of f(t) is

                       L{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...

                               = (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...

                              = (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]

The Laplace Transform of f(t) isL{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...

                            = (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...= (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]

Learn more about Laplace Transform

brainly.com/question/30759963

#SPJ11

It is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

In the given scenario, it is not completely true that based only on the r and p values listed above, you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

Let's first understand what is meant by the term "moderator.

"Moderator: A moderator variable is a variable that changes the strength of a connection between two variables. If there is a statistically significant bivariate relationship between the amount of texting during driving and the number of accidents, scientists investigate whether this bivariate relationship is moderated by age.

Therefore, based on the values of r and p, it is difficult to determine if age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

As we have to analyze other factors also to determine whether the age is a moderator or not, such as the sample size, the effect size, and other aspects to draw a meaningful conclusion.

So, it is False that based only on the r and p values listed above you can come to the conclusion that age is a moderator of the bivariate relationship between the amount of texting and the number of accidents.

To know more about values visit :

https://brainly.com/question/30145972

#SPJ11

Answer:

He can choose by each players skill and depending on how long the game is he can sub them out throughout the game

Step-by-step explanation:

The total different possible ways can the coach choose a team of 5 if each person has an equal chance of being selected is, 8568 or C(18, 5)

A permutation can be defined as the number of ways a set can be arranged, order matters but in combination the order does not matter.

We have 18 people on a basketball team.

The coach needs to choose 5 to put into a game.

So the total different possible ways can the coach choose a team of 5 if each person has an equal chance of being selected is:

\(= \rm _{18}^{}\textrm{C}_5\)

\(= \dfrac{18!}{5!\times 13!}\)

= 8568

Thus, the total different possible ways can the coach choose a team of 5 if each person has an equal chance of being selected is, 8568 or C(18, 5)

Learn more about permutation and combination here:

https://brainly.com/question/2295036

#SPJ2

Answer:

The answer to the chart is y=x-1

Answer:

y = 5e^1.9459101t

y = 84035

Step-by-step explanation:

Given the data:

X _____ Y

0 _____ 5

1 _____ 35

2 ____245

3 ____1715

4 __ 12005

Exponential function for the distribution :

y = initial(1 + rate)^t

y = Pe^rt

35 = 5e^r

35/5 = e^r

7 = e^r

Take In of both sides

1.9459101 = r

y = Pe^rt

y = 5e^1.9459101t

Population after 5 days :

y = 5e^1.9459101 * 5

y = 5e^9.7295505

y = 5 * 16806.995

y =84034.979

y = 84035

50 games make up 20% of the 250 total games, while 150 games make up 60%. The percentage is a component of the total number. It is shown by the % symbol.

1 %= 1/100.

Due to it,

There are 250 games overall.

With these facts, the percentage value of 250 is 100%.

Hence, 20% of 50 is its value.

Therefore, value of 150 is 60%.

Among 250 games, 50 represent 20% and 150 represent 60%.

The percentage of a game may be found in several ways.

Multiplying a number by p/100, where p is the percent, will get the percentage of that number. Use cross multiplication and division to find the whole from a part and the percent. Cross-multiplying and dividing the component supplied as a whole will yield the answer.

To know more about percentage click here

brainly.com/question/16797504

#SPJ4

Answer:

The cube is a 8x8x8

so a side length is 8

Answer:

No ABC is not a triangle

Step-by-step explanation:

Perimeter = 22 cm

AB = 8 cm ; BC = 8 cm

AC = 22 - ( 8 + 8 ) = 6 cm

But all those sides doesn't follow Pythagorean Theorem(AB^2 + BC^2 = AC^2) ....because 8^2 + 8^2 isn't equal to 6^2 ......

Had it followed the theorem , it could have been a right angle triangle...

Answer:

7

Step-by-step explanation:

.........................

Greetings.

The answer is 7.

Explanation:

Function is a set of relation with domains that are not repetitive. What I'm trying to say is that in a single set, there cannot be same domain values.

For example,

(1,2) (1,3)

The relation above is not a function since the domain is repetitive (There are two 1's as domain which is not a function.)

But If it is (1,2) (2,1) (3,1) Then It's a function. Because there are no repetitive domains.

The question asks you which value would give the whole set only a relation and not a function.

As explained, 2 repetitive, same domains don't make the relation a function, but rather a relation instead.

Hope this helps! :)

Feel free to ask anything in the comment/reply if you are curious/confused with Function.

Your approach is incorrect because it overcounts the possible arrangements.

Your initial step of placing one person in one of the five groups is correct. There are indeed five ways to do that. However, the subsequent probabilities you calculated are incorrect.

The flaw in your approach lies in assuming that there are only 14 students remaining to be placed in the groups after the first person is assigned. This assumption is incorrect because once the first person is placed in a group, there are only 14 students left, but we are specifically interested in the probability of the second and third desired persons being in the same group.

Let's consider a correct approach using the combination formula:

First, let's calculate the total number of ways to divide 15 students into five groups of three each. We can use the combination formula for this:

C(n, r) = n / (r(n - r)

Where n is the total number of students (15) and r is the number of students in each group (3).

C(15, 3) = 15! / (3 (15 - 3) = 455

So, there are 455 possible ways to divide the students into groups.

Now we have 13 entities: {Linda, Martin, Nancy, 12 remaining students}.

We need to place these 13 entities into 5 groups. The number of ways to do this is given by the combination formula:

C(13, 3) = 13 / 3 (13 - 3)= 286

Therefore, there are 286 ways to place Linda, Martin, and Nancy in the same group.

Finally, we can calculate the probability by dividing the number of favorable outcomes (286) by the total number of outcomes (455):

Probability = 286 / 455 = 2 / 3

So, the probability that Linda, Martin, and Nancy are in the same lab group today is 2/3.

Note that the 5 you mentioned is unnecessary because it incorrectly assumes that there are 14 students remaining after placing the first person. It's important to consider the correct number of entities and groups throughout the calculation.

Learn more about Combination Formula here :

https://brainly.com/question/28021774

#SPJ11

Answer:

-8/7

Step-by-step explanation:

(-3, 6) & (4,-2)

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(-2 - 6) / (4 - (-3))

Simplify the parentheses.

= (-2 - 6) / (4 + 3)

= -8 / 7

Simplify the fraction.

= -8/7

This is your slope.

Hope this helps!