Write and simplify an expression for the surface area of a rectangular prism with a height of h yards, a length of 2.6 yards, and a width of 3.5 yards. What is the surface area if the height is 4 yards?



SA =

+

h


The surface area is

yd2.
You will get BRAINLIEST

Answer:   This is the Communitve Property because the equation has the same thing on both sides, but the numbers "flip flopped" or switched around.

Answer:

A Vertical Angle

Step-by-step explanation:

Answer:

vertical angles

Step-by-step explanation:

Answer:

answer should be minutes.

Step-by-step explanation:

in the problem, it is stated that the mean is in "baking times." this can lead one to assume that the standard deviation between the two xC-xO can be the variation in minutes that the two cookies types have.

Answer:

[tex]z=-1.99<\frac{a-288}{3.7}[/tex]

[tex]z=1.99<\frac{a-288}{3.7}[/tex]

And if we solve for a we got

[tex]a=288 -1.99*3.7=214.4[/tex]

[tex]a=288 +1.99*3.7=295.4[/tex]

And the limits for this case are: (214.4; 295.4)

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the annual precipitation of a population, and for this case we know the distribution for X is given by:

[tex]X \sim N(288,3.7)[/tex]  

Where [tex]\mu=288[/tex] and [tex]\sigma=3.7[/tex]

The confidence level is 95.44 and the signficance is [tex] 1-0.9544=0.0456[/tex] and the value of [tex]\alpha/2 =0.0228[/tex]. And the critical value for this case is [tex]z = \pm 1.99[/tex]

Using this condition we can find the limits

[tex]z=-1.99<\frac{a-288}{3.7}[/tex]

[tex]z=1.99<\frac{a-288}{3.7}[/tex]

And if we solve for a we got

[tex]a=288 -1.99*3.7=214.4[/tex]

[tex]a=288 +1.99*3.7=295.4[/tex]

And the limits for this case are: (214.4; 295.4)

Answer: B, E, and F

Step-by-step explanation: :)

The residual value is the difference between the actual and predicted values. Hence, the residual activity at a temperature of 69°F will be −2484.95

The equation of the Least Square Regression Line is given as :

The predicted amount of activity, y at a temperature of 69°F will be :

y = 152.1 + 37.65(69)

y = 2749.95

The actual amount of activity at a temperature of 69°F is 265

The residual activity at 69°F temperature can be calculated thus :

Residual = Actual - Predicted

Residual = 265 - 2749.95 = −2484.95

Therefore, the residual activity at 69°F is −2484.95

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Answer:

Determine which of the following are equivalence relations and/or partial CHAPTER 6. RELATIONS 121 ordering relations for the given sets: (a) A = { lines in the plane}, and r defined by xry if and only if x is parallel to y. Assume every line is parallel to itself. (b) A = R and r defined by xry if and only if |x − y| ≤ 7.

A is an Equivalence Relation.

Step-by-step explanation:

For a reflexive case : x is parallel to itself => x R x

For a symmetric : x is parallel to y => y is parallel to x.

Thus, x R y = y R x

For a transitive:  x is parallel to y, and y is parallel to z then x, y, z are parallel to each other.

=> x R y and y R z = x R z

Therefore, A is an Equivalence Relation.

Answer:

The Jacobian ∂(x, y, z) ∂(u, v, w) for the indicated change of variables

= -3072uv

Step-by-step explanation:

Step :-(i)

Given  x = 1 6 (u + v)  …(i)

  Differentiating equation (i) partially with respective to 'u'

               [tex]\frac{∂x}{∂u} = 16(1)+16(0)=16[/tex]

  Differentiating equation (i) partially with respective to 'v'

              [tex]\frac{∂x}{∂v} = 16(0)+16(1)=16[/tex]

  Differentiating equation (i)  partially with respective to 'w'

               [tex]\frac{∂x}{∂w} = 0[/tex]

Given  y = 1 6 (u − v) …(ii)

  Differentiating equation (ii) partially with respective to 'u'

               [tex]\frac{∂y}{∂u} = 16(1) - 16(0)=16[/tex]

 Differentiating equation (ii) partially with respective to 'v'

               [tex]\frac{∂y}{∂v} = 16(0) - 16(1)= - 16[/tex]

Differentiating equation (ii)  partially with respective to 'w'

               [tex]\frac{∂y}{∂w} = 0[/tex]

Given   z = 6uvw   ..(iii)

Differentiating equation (iii) partially with respective to 'u'

               [tex]\frac{∂z}{∂u} = 6vw[/tex]

Differentiating equation (iii) partially with respective to 'v'

               [tex]\frac{∂z}{∂v} =6 u (1)w=6uw[/tex]

Differentiating equation (iii) partially with respective to 'w'

               [tex]\frac{∂z}{∂w} =6 uv(1)=6uv[/tex]

Step :-(ii)

The Jacobian ∂(x, y, z)/ ∂(u, v, w) =

                                                         [tex]\left|\begin{array}{ccc}16&16&0\\16&-16&0\\6vw&6uw&6uv\end{array}\right|[/tex]

   Determinant       16(-16×6uv-0)-16(16×6uv)+0(0) = - 1536uv-1536uv

                                                                                 = -3072uv

Final answer:-

The Jacobian ∂(x, y, z)/ ∂(u, v, w) = -3072uv

Answer: The value of the sine of ∠C is 0.28.

Step-by-step explanation:

Let's draw a triangle again (see the picture below).

Remember SOHCAHTOA? It's:

-sin = opposite/hypotenuse

-cos = adjacent/hypotenuse

-tan = opposite/adjacent.

We need to use sin in here.

The sin of C is [tex]\frac{7}{25}[/tex], which in a calculator, gives [tex]0.28[/tex]

Answer:

Yes it is true.

A note organizer is not important if you know how to take good notes is false.

A note organizer is a tool or system used to help keep notes organized and easy to access.

There are many different types of note organizers, ranging from physical tools like binders or folders to digital tools like note-taking apps or software.

The purpose of a note organizer is to help individuals keep track of important information, categorize and label their notes, and quickly find the information they need when they need it.

We have,

While it is true that taking good notes is essential, having a note organizer can also be important in keeping your notes organized and easily accessible.

A note organizer can help you categorize and label your notes, making it easier to find the information you need when you need it.

Thus,

A note organizer is not important if you know how to take good notes is false.

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Given Information:

Total number of people = 39

Number of people who tested negative = 33

Number of people who tested positive = 6

Required Information:

Probability of finding a person who tested negative = ?

Answer:

P( x = 1 ) = 0.000315 = 0.0315%

Step-by-step explanation:

Let the probability of success is denoted by those who test negative,

p = 33/39

p = 0.85

Then the probability of failure is denoted by those who test positive,

q = 1 - p = 1 - 0.15 = 0.85

We want to find out the probability of finding a random person who test negative.

P( x = 1 ) = (p³⁹⁻¹)(1 - p)¹

P( x = 1 ) = (0.85³⁹⁻¹)(1 - 0.15)¹

P( x = 1 ) = 0.0021*0.15

P( x = 1 ) = 0.000315

Therefore, the Probability of finding a person who tested negative is 0.0315%

Answer:

4

Step-by-step explanation:

6 × A = 24

6 × A ÷ 6 = 24 ÷ 6

A = 4

Answer:

A = 4

Step-by-step explanation:

6×A = 24

6A = 24

A = 24 : 6

A = 4

Answer:

I think it is A and B. Not one hundred percent sure but,50 percent sure.

Step-by-step explanation:

Answer:

B.) and D.)

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

I meant 6x3=18 -2=16 sorry for confusion

To find the value of x, you need to isolate/get the variable "x" by itself in the equation:

3x - 2 = 16       Add 2 on both sides

3x - 2 + 2 = 16 + 2

3x = 18         Divide 3 on both sides to get "x" by itself

[tex]\frac{3x}{3} =\frac{18}{3}[/tex]

x = 6

PROOF

3x - 2 = 16      Substitute/plug in 6 into "x" since x = 6

3(6) - 2 = 16

18 - 2 = 16

16 = 16

Answer:

The answer is A, C, E

A: choosing a green jelly bean out of a bag that contains 2 green jelly beans, 1 red jelly bean, and 5 yellow jelly beans

C: spinning a number less than 2 on a spinner that has four equal sections numbered from 1 to 4

D: choosing a spade out of a standard deck of cards that contains 13 hearts, 13 clubs, 13 diamonds, and 13 spades

Therefore the answer is A,C,E

Edg : )

Answer:

P-value of the test statistic: P=0.0266.

Step-by-step explanation:

Hypothesis test on a proportion.

The claim is that the percentage of residents who favor annexation is above 72% This is going to be stated in the alternative hypothesis.

Then, the null and alternative hypothesis are:

[tex]H_0: \pi=0.72\\\\H_a:\pi>0.72[/tex]

The sample size is n=900 and the sample proportion is p=0.75.

The standard devaition is calculated as:

[tex]\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.72*0.28}{900}}=\sqrt{0.000224}=0.015[/tex]

Then, the z-statistic is:

[tex]z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.75-0.72-0.5/900}{0.015}=\dfrac{0.029}{0.015} = 1.9333[/tex]

For this right tailed test, the P-value is:

[tex]P-value=P(z>0.1933)=0.0266[/tex]

c. traingular prism                              

Answer:

Triangular Prism

I'm guessing this means what 3D shape it produces, which would lead my conclusion to it being a triangular prism.

Answer:

No. The frequencies and probabilities for red and green segments might change in the next experiment.

Step-by-step explanation:

I just did it and it said my answer was right

Answer:

Step-by-step explanation:

No. The frequencies and probabilities for red and green segments might change in the next experiment.

i just did it and got it right so i hope you do too

Answer:

1380 more jumping jacks

Step-by-step explanation:

Kayla did 243 jumping jacks each day for 30 days, so we multiply 243 by 30 to get the total number of jumping jacks: 243 * 30 = 7290 jumping jacks.

Jean did 289 every day for 30 days, so we multiply 289 by 30 to get the total number of jumping jacks: 289 * 30 = 8670 jumping jacks.

Now subtract 7290 from 8670: 8670 - 7290 = 1380 more jumping jacks.

Hope this helps!

Answer: 1380

Step-by-step explanation : jean did 8760 jumping jacks. kayla did 7920. subtract 7920 from 8760 to get 1380

Answer:

c =3

Step-by-step explanation:

4c = 12

Divide each side by 4

4c/4 =12/4

c = 3

Step-by-step explanation:

2 ( 8 - 3c) = 4c - 34

16 - 6c = 4c - 34

6c + 4c = 16 + 34

10c = 50

c = 50/ 10

therefore c = 5

Hope it will help :)

Answer:

36.32% probability that the claim amount under liability insurance exceeds the claim amount under collision insurance.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Two variables:

X1 and X2, probability X1 exceeds X2

[tex]\mu(X_{1} - X_{2}) = \mu_{X_{1}} - \mu_{X_{2}}[/tex]

[tex]\sigma^{2}(X_{1} - X_{2}) = \sigma_{X_{1}}^{2} +  \sigma_{X_{2}}^{2}[/tex]

In this problem, we have:

X1: Liability insurance:

So [tex]\mu_{X_{1}} = 9000, \sigma_{X_{1}} = 2000[/tex]

X2: Collusion insurance:

So [tex]\mu_{X_{2}} = 10000, \sigma_{X_{2}} = 2000[/tex]

Then

[tex]\mu(X_{1} - X_{2}) = \mu_{X_{1}} - \mu_{X_{2}} = 9000 - 10000 = -1000[/tex]

[tex]\sigma^{2}(X_{1} - X_{2}) = 2000^{2} + 2000^{2} = 8000000[/tex]

[tex]\sigma = \sqrt{8000000} = 2828.43[/tex]

Assuming independence, find the probability that the claim amount under liability insurance exceeds the claim amount under collision insurance.

This is [tex]P(X_{1} - X_{2} > 0)[/tex], which is 1 subtracted by the pvalue of Z when X = 0. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{0 - (-1000)}{2828.43}[/tex]

[tex]Z = 0.35[/tex]

[tex]Z = 0.35[/tex] has a pvalue of 0.6368

1 - 0.6368 = 0.3632

36.32% probability that the claim amount under liability insurance exceeds the claim amount under collision insurance.

Answer:

64 in.

Step-by-step explanation:

One foot is 12 inches, so you would have to multiply 12 and 5 to get 60. You then add the 60 to the 4 to get 64 inches. Hope this helped!

The initial expectation is that 20% of the M&Ms in a bag would be orange. However, the occurrence of 25.5% orange M&Ms in a bag can be considered surprising but doesn't negate the initial percentage due to statistical sampling variability.

This question is dealing with the concept of statistical sampling and proportions. Given that the M&M’s website states that 20% of milk chocolate M&M’s are orange, we would expect, on average, that 20% or 11 (0.20 * 55) of the M&M’s in a small bag of 55 M&M’s to be orange. However, in this instance, we observe that 25.5% (or 14 of the 55) of the M&M’s are orange.

This result might be surprising because it is more than the average expectation of 20%. But it's important to remember the concept of sampling variability. Even though we expect 20%, the actual results can vary from this expectation due to random chance.

In conclusion, this result can be considered surprising because we have got a higher percentage of orange candies than expected, but it does not necessarily prove that the initial assertion of 20% orange M&M’s is incorrect due to the inherent variability in statistical sampling.

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The observed result of 25.5% orange candies per bag is surprising given the stated 20% proportion. However, due to sampling variability, it falls within one standard deviation from the mean, indicating it's a possible result in a sample.

The conclusion based on your provided information would be that this result is surprising because it is unlikely to select a sample with 25.5% or more orange candies if only 20% of milk chocolate M&M's are orange. This observation is compared to the expected proportion of 20%, i.e., the stated percentage of orange M&M's as per the website information.

To calculate how surprising this outcome is, we can use the concept of standard deviation. Based on the binominal distribution, the standard deviation (σ) is calculated as √npq, where n is the number of trials (in this case, the number of candies per bag, 55), p is the probability of success (the expected proportion of orange candies, 0.20), and q is the probability of failure (1-p).

Applying these values, σ = √(55)(0.20)(0.80), we get σ ≈ 4.7. Therefore, observing 14 orange candies is about one standard deviation above the expected value (11 candies, or 20% of 55). Although that might seem like a significant deviation, in a normal distribution about 68% of the data falls within one standard deviation of the mean. So while it is surprising, it is still a possible variation to have 25.5% or more orange candies in a single bag due to sampling variability.

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Answer:

Hypothesis test on a proportion.

There is no enough evidence to support the claim that the proportion of business executives in the sample differs from the national magazine poll.

Step-by-step explanation:

We should test the hypothesis of the proportion, with a z-statistic.

The claim is that the proportion of business executives in the sample differs from the national magazine poll.

Then, the null and alternative hypothesis are:

[tex]H_0: \pi=0.26\\\\H_a:\pi<0.26[/tex]

The significance level is assumed to be 0.05.

The sample, of size n=100, has a proportion p=0.19.

The standard error for the proportion is:

[tex]\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.26*0.74}{100}}=\sqrt{0.001924}=0.044[/tex]

Then, the z-statistic can be calculated as:

[tex]z=\dfrac{p-\pi+0.5/n}{\sigma_p}=\dfrac{0.19-0.26+0.5/100}{0.044}=\dfrac{-0.065}{0.044}=-1.477[/tex]

The P-value for this one-tailed test is:

[tex]P-value=P(z<-1.477)=0.07[/tex]

As the P-value is bigger than the significance level, the effect is not significant. The null hypothesis failed to be rejected.

There is no enough evidence to support the claim that the proportion of business executives in the sample differs from the national magazine poll.

Answer:

just look it up on m..a.t.h. w.a.y.!!

Step-by-step explanation:

it works for me

Answer:

i think you may have to use sin or cos

Step-by-step explanation:

Answer:

9m (You were correct!!!!)

Step-by-step explanation:

Use Pythagorean Theorem:

[tex]a^{2} +b^{2} = c^{2}[/tex]

⬆️  ⬆️   ⬆️

  legs    hypotenuse

x² + 12² = 15²

x² + 144 = 225

x² = 81

x = 9

Answer:

its b

Step-by-step explanation:

FOR THE LENGTH YOU SEE HOW LONG IT IS THEN FINALLY YOU SEE THE WIDTH ITS ONLY ONE AND THEN THE HIGHT HOW TALL IT IS AND THEN YOU MULTIPLY TO GET Your answer