10 points
What is the total surface area of the
rectangular prism shown in square inches?

Solution :

a).

Given : Number of times, n = 25

            Sigma, σ = 0.200 kg

            Weight, μ = 13 kg

Therefore the hypothesis should be tested are :

[tex]$H_0 : \mu = 13 $[/tex]

[tex]$H_a : \mu \neq 13$[/tex]

b). When the value of [tex]$\overline x = 12.84$[/tex]

 Test statics :

   [tex]$Z=\frac{(\overline x - \mu)}{\frac{\sigma}{\sqrt n}} $[/tex]

  [tex]$Z=\frac{(14.82-13)}{\frac{0.2}{\sqrt {25}}} $[/tex]

          [tex]$=\frac{1.82}{0.04}$[/tex]

          = 45.5  

P-value = 2 x P(Z > 45.5)

            = 2 x 1 -P (Z < 45.5) = 0

Reject the null hypothesis if P value  < α = 0.01 level of significance.

So reject the null hypothesis.

Therefore, we conclude that the true mean measured weight differs from 13 kg.

Answer:

A and E

Step-by-step explanation:

A) 7 hrs in IDU will cost you $305.00 while SC cost $385

B) 4hrs in and SC will charge you more than IDU by $20

C) SC charges you more than IDU by $50 so IDU is more cost effective

D)SC will charge you $140 more than IDU but not $200

E) 55 x 3 = 165 while 35 × 3 105 plus 60 is 165 therefore it is the same

Answer:

Step-by-step explanation:

Answer:

169/12 square units.

Step-by-step explanation:

Answer:

$741.52 TRUSTTT

Step-by-step explanation:

Answer:

x + (tax percent out of 100)*x, which is 748.65.

Answer:

The probability to one person to be a dog owner is p=0.56 (because 56% of people own dogs) and the probability that one person is not dog owner is q=1-p=1-0.56=0.44.

Step-by-step explanation:

Choosing two people at random, there are such possibilities:

1. both are dog owners;

2. first owns a dog, second not;

3. first hasn't dog, second owns a dog;

4. both haven't dogs.

Answer: if you pick two people at random the probability that they both own a dog is 0.3136.

Hope this helps! :))

The Probability that they both own a dog is 0.3025.

Here,

55% of people own dogs.

If pick two people at random,

Then we have to find the probability that they both own a dog.

What is Probability?

Probability is defined as the likelihood of something occurring or the chance of something happening.

Now,

55% of people own dogs.

Hence, the probability that they both own a dog = 55% * 55%

                                                                          = 0.55 * 0.55

                                                                          = 0.3025

So, The probability that they both own a dog is 0.3025.

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Answer:

y = x/3 - 5

Step-by-step explanation:

Answer:

y = (1/3)x  - 5 .

Step-by-step explanation:

(-6 , -7) ; (3 ,-4)

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]

          [tex]=\frac{-4-[-7]}{3-[-6]}\\\\= \frac{-4 + 7}{3+6}\\\\= \frac{3}{9}\\\\=\frac{1}{3}[/tex]

m = 1/3   ; (3,-4)

y - y1 = m(x - x1)

[tex]y - [-4]=\frac{1}{3}(x-3)\\\\y + 4 = \frac{1}{3}x-3*\frac{1}{3}\\\\y + 4 = \frac{1}{3}x-1\\\\y =\frac{1}{3}x-1-4\\\\y = \frac{1}{3}x - 5[/tex]

Answer:

it is positive 3/4

Step-by-step explanation:

it is the opposite of -3/4

Answer:

it would be a positive 3/4

Answer:

3rd limited

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

the size of the matrix 2x3

Step-by-step explanation:

just remember that rows are horizontal and columns are vertical hope this helps you out

The slope in the equation p = 52 + 0.04w represents the rate of change in the water bill payment for each additional unit of water consumed.

Specifically, the slope of 0.04 indicates that for every increase of one unit in the number of water units (w), the water bill payment (p) will increase by 0.04 dollars.

This means that the slope represents the incremental cost of each additional unit of water.

In practical terms, the slope of 0.04 implies that for every additional unit of water consumed, the water bill will increase by $0.04.

This indicates a constant rate of increase in the water bill for each additional unit of water used.

It's important to note that the slope remains constant throughout the equation, suggesting a linear relationship between the amount of water consumed and the corresponding bill payment.

Therefore, The slope, in this case, is the coefficient of the variable w, which is 0.04.

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The probable question may be:

What is the meaning of the slope in the equation p = 52 + 0.04w, which models the relationship between the water bill payment p in dollars and the number of units of water w ?

Answer:

I think 1.75

Step-by-step explanation:

the long side is two times the amount of the tall side so take the smaller long side and divide by two.

Answer:

Mean = 2.40

Standard deviation = 1.356

Step-by-step explanation:

Given the data:

X :___ 0 __1 ___ 2 ___ 3 __ 4 __ 5 __Total

P(x)_0.02_0.31_0.25_0.19_0.13 _0.10_ 1.00

The mean [E(X)]

Σx*p(x)

(0*0.02)+(1*0.31)+(2*0.25)+(3*0.19)+(4*0.13)+(5*0.10) = 2.4

The standard deviation :

Std(x) = sqrt[VAR(x)]

Var(x) = ((0^2 * 0.02)+(1^2 * 0.31)+(2^2 * 0.25)+(3^2 * 0.19)+(4^2 * 0.13)+(5^2 * 0.10)) - 2.4^2

Var(X) = 7.6 - 5.76 = 1.84

Std(X) = sqrt(1.84) = 1.356 (3 decimal places)

Answer:

V ≈ 62.83

Step-by-step explanation:

Cylinder Formulas in terms of r and h

Calculate the volume of a cylinder:

V = πr2h

Calculate the lateral surface area of a cylinder (just the curved outside):

L = 2πrh

Calculate the top and bottom surface area of a cylinder (2 circles):

T = B = πr2

Total surface area of a closed cylinder is:

A = L + T + B = 2πrh + 2(πr2) = 2πr(h+r)

Solution

V=πr 2h = π · 22 · 5 ≈ 62.83185

Therefore, the volume of the cylinder in the nearest tenths is V ≈ 62.83

Answer:

y=-2x-1

Step-by-step explanation:

Your goal from Standard form to slope intercept form is to have the x on the right side of the equal sign. All you have to do is subtract 2x from both sides and you end up with y= -2x-1

Answer:

64

Step-by-step explanation:

8x4 is 32 multiplied by 2 is 64

V=LxWxH

(length x Width x Height)

Answer

16/43

Step-by-step explanation:

17 Male + 27 female = 44 students

now n= 2 so first student was male so one male student was taken out of the equation so 16 male left. now left male students by remaining students  so now total left students = 43

so, prob = remaining males/remaining students=16/43

Answer:

293.27

Step-by-step explanation:

418.96 x  .7 = 293.27

Answer:

weird triangle

Step-by-step explanation:

Answer:

Scalene triangle

Step-by-step explanation:

Scalene triangle: If the length of all the sides of triangle have  different measurements then it is scalene triangle

Answer:

[tex] 217 \: {mi}^{2} [/tex]

Step-by-step explanation:

Area of the figure

[tex]= 13*7 + 21 * 6 \\ = 91 +12 6 \\ = 217 \: {mi}^{2} [/tex]

Answer:

the answer is a

Step-by-step explanation:

Answer:

[tex]4\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\sqrt{48} \\\\4\sqrt{3}[/tex]

Answer:

the second option is correct

Step-by-step explanation:

Answer:

The cylinder has the great volume

Step-by-step explanation:

The volume of a cone = (h/3)πr²

The volume of a cylinder = hπr²

The only difference is that h is divided by 3 for the volume of a cone, making the total volume of a cone smaller than the volume of a cylinder with the same radius and height.

Answer:

32)  7/12 ≈ 58.3%

33)  Min = 18
       Q1 = 26
       Median = 32
       Q3 = 47
       Max = 67

Step-by-step explanation:

To determine the probability of grabbing a lemon-lime or an orange-flavored bottle from the cooler, we need to calculate the number of favorable outcomes and the total number of possible outcomes.

In the given scenario, there are 4 lemon-lime flavored bottles and 3 orange-flavored bottles in the cooler, plus 5 fruit-punch flavored bottles. Therefore:

The probability of grabbing a lemon-lime or an orange-flavored bottle is:

[tex]\begin{aligned}\sf Probability &= \sf \dfrac{Favorable\;outcomes}{Total\; outcomes}\\\\&=\dfrac{7}{12}\\\\& \approx 58.3\%\end{aligned}[/tex]

[tex]\hrulefill[/tex]

The five-number summary is a statistical summary of a dataset that includes the minimum and maximum values, the median (middle value), and the first and third quartiles. It provides a concise overview of the distribution and central tendency of the data.

First, sort the given data in ascending order (this has already been done for us):

The minimum value is the smallest value in the data set.

[tex]\boxed{\sf Minimum \; value = 18}[/tex]

The median is the middle value of the sorted data.

In this case, we have 8 data points, so the median is the average of the two middle values:

[tex]\boxed{\sf Median\;(Q_2)=\dfrac{28+36}{2}=32}[/tex]

The first quartile is the median of the lower half of the data.

In this case, we have 4 data points in the lower half (18, 24, 28, 28), so the median is the average of the two middle values:

[tex]\boxed{\sf First \;Quartile\;(Q_1)=\dfrac{24+28}{2}=26}[/tex]

The third quartile is the median of the upper half of the data.

In this case, we have 4 data points in the upper half (36, 44, 50, 67), so the median is the average of the two middle values:

[tex]\boxed{\sf Third\;Quartile\;(Q_3)=\dfrac{44+50}{2}=47}[/tex]

The maximum value is the largest value in the data set.

[tex]\boxed{\sf Maximum\; value = 67}[/tex]

Therefore, the five-number summary for the given data set is:

To construct the box and whisker graph (attached):

The events are mutually exclusive because a bottle cannot be both lemon-lime and orange-flavored simultaneously , the scenario involves mutually exclusive events.

The five-number summary is as follows:

Minimum: 18

Q1: 26

Median: 36

Q3: 47

Maximum: 67

The scenario states that there are 12 bottles of sports drinks in a cooler: 4 lemon-lime flavored, 3 orange-flavored, and 5 fruit-punch flavored. You grab a bottle, and it is either lemon-lime or orange flavored. To determine if this scenario involves mutually exclusive events, we need to assess whether the two events (grabbing a lemon-lime flavored bottle and grabbing an orange-flavored bottle) can occur at the same time or not.

In this case, the events are mutually exclusive because a bottle cannot be both lemon-lime and orange-flavored simultaneously. Therefore, the scenario involves mutually exclusive events.

To find the five-number summary (minimum, first quartile, median, third quartile, and maximum) for the given data and draw a box and whisker plot, we need to arrange the data in ascending order first:

18, 24, 28, 28, 36, 44, 50, 67

Arranging the data in ascending order: 18, 24, 28, 28, 36, 44, 50, 67

The minimum value is 18.

The first quartile (Q1) is the median of the lower half of the data: (24 + 28) / 2 = 26.

The median is the middle value of the data set: 36.

The third quartile (Q3) is the median of the upper half of the data: (44 + 50) / 2 = 47.

The maximum value is 67.

The five-number summary is as follows:

Minimum: 18

Q1: 26

Median: 36

Q3: 47

Maximum: 67

To draw a box and whisker plot, you can use the five-number summary to create a visual representation of the data distribution. However, since I can't draw graphs here, you can create a box and whisker plot yourself. Draw a number line and place a box that spans from Q1 to Q3, with a line inside representing the median. Add "whiskers" extending from the box to the minimum and maximum values.

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Answer:

uhm- ok ok ok level hard o my gosh

Answer:

0.78

Step-by-step explanation:

0.03*26=0.78 simple math lol

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I hope you like it!