An atrium is being designed to house an exhibit of tropical birds. The atrium must enclose 250,000 cubic feet of space, and the designer wants it to have the shape of a hemisphere. Is such a design possible given that the plot of land on which it will be built is a rectangle 90 feet wide and 100 feet long?

Answer:

14 2/3

filler filler filler

Answer:

7/12

Step-by-step explanation:

You first make a common denominator. You make both the denominators 12, then make one numerator 3 and another numerator 4. Now you have an easy equation; 3/12 + 4/12, which equals to 7/12

Answer:

1 muffin is 5.25 and 1 cup of coffee is 3.95

Step-by-step explanation:

32.85 - 22.35 is 10.5. 10.5 divided by 2 is 5.25 that is the cost of 1 muffin. 22.35 - 10.5 is 11.85. 11.85 divided by 3 is 3.95.

Answer:

20 feet

sorry!! I don't know how to explain

well, the original price was 500 bucks, but went down to 325, namely 500 - 325 = 175, so she'll be saving 175 bucks.

if we take 500 to be the 100%, what is 175 off of it in percentage?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 500 & 100\\ 175& x \end{array} \implies \cfrac{500}{175}=\cfrac{100}{x}\implies \cfrac{20}{7}=\cfrac{100}{x} \\\\\\ 20x=700\implies x=\cfrac{700}{20}\implies x=35[/tex]

Answer:

Step-by-step explanation:

Solving

Reason:

We have this stem-and-leaf plot

[tex]\begin{array}{r|l}\text{stem} & \text{leaf}\\\cline{1-2}5 \ & \ 0 \ 4\\6 \ & \ 5 \ 7 \ 8\\7 \ & \ 5 \ 8\\8 \ & \ 2 \ 4 \ 5 \ 5 \ 5 \ 6 \ 7 \ 8 \ 9\\9 \ & \ 0 \ 0 \ 0 \ 0 \ 4 \ 6 \ 7 \ 9\\\end{array}[/tex]

where something like [tex]5 \big| 0[/tex] represents the number 50.

The most frequent leaf is "0" in the very bottom row. It shows up four times, which is the most of any of the other leaf.

This leaf ties to the stem of 9.

stem = 9 & leaf = 0 leads to the data value 90.

Therefore, the mode is 90

14/20 , 21/30 ,28/40 & 35/50 all are equivalent ratio to 7 /10

Step-by-step explanation:

internet check ?

that's the fastest, and the same I had to do :

there are 2 pints in 1 quart.

in other words

1 pint = 0.5 quarts

therefore,

13 pints = 13×1 = 13×0.5 quarts = 6.5 quarts

so,

13 pt = 6 qt + 1 pt

Answer:

13 pt = 6 qt 1 pt

Step-by-step explanation:

1 qt = 2 pt

12 pt = 6 qt + 1 remaining pt.

Answer:

153.6

Step-by-step explanation:

Answer:

153.6

Step-by-step explanation:

32x4=128

128x3=384

384x2=768

768/5=153.6

Using the interpretation of the confidence interval, it is found that the correct option is:

e) No, the confidence interval contains 0, so 0 is a plausible value for the true mean increase in number of miles driven on 25 gallons. An increase of 0 would indicate the gas mileage has not increased.

It means that we are x% confident that the population parameter(mean/proportion/standard deviation) is between a and b.

In this question, the 99% confidence interval for the increase is of (-3.95, 64.35). It contains 0 and negative values, hence those are plausible values, and this is not enough evidence that the mean has increased, hence option e is correct.

More can be learned about confidence intervals at https://brainly.com/question/25890103

Answer: Angle sum

Step-by-step explanation:

The process is an isochoric process. Then the tire pressure change in response to the change in temperature is 2.65 atm.

It is a branch of science that deals with heat and work transfer.

An automobile tire at 30.0°C has a pressure of 3.00 atm.

The temperature decreases to -5.00°C.

Assume that there is no volume change in the tire.

Then for the constant volume process, we have

[tex]\dfrac{P_1}{P_2} = \dfrac{T_1}{T_2}\\\\\dfrac{3}{P_2} = \dfrac{303}{268}\\\\P_2 \ = 3\times \dfrac{268}{303}\\\\P_2 \ = 2.65[/tex]

The tire pressure change in response to the change in temperature is 2.65 atm.

More about the thermodynamics link is given below.

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Answer:

How does the tire pressure change in response to the temperature change?

✔ decreases

What is the new pressure of the tire after the temperature change?

2.65 ✔ atm

Step-by-step explanation:

Got it right on edge

Answer:

(x_4)^2+(y+1)^2=81

Step-by-step explanation:

you change the signs of the x and y co efficient. The general formula is (a,-b) (x_a)^2+(y+b)^2=r^2

Answer:

10 pieces of Juan's candy was chocolate

Step-by-step explanation:

to find 2/5 of something, you have to multiply.

of means to multiply.

So then you multiply 2/5 by 25.

[tex]\frac{2}{5}*\frac{25}{1} =\frac{10}{1} =10[/tex]

Answer:

16, 0, 64

Step-by-step explanation:

Check out the attached photo

Answer:

∠ F ≈ 24.2°

Step-by-step explanation:

using the tangent ratio in the right triangle

tan F = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{GH}{FG}[/tex] = [tex]\frac{9}{20}[/tex] , then

F = [tex]tan^{-1}[/tex] ( [tex]\frac{9}{20}[/tex] ) ≈ 24.2° ( to the nearest tenth )

Answer:

80%

Step-by-step explanation:

it’s 82% but rounded its 80

Answer:

64

Step-by-step explanation:

Answer:

225

Step-by-step explanation:

All you have to do is plug in the numbers, it will look like this

(2(2)^2 * -1^3)^2

It looks weird but trust me

Ok so first you have to mutiply 2*2 whitch is 4

(4^2 * -1^3)^2

now what is the 1 with the exponet of 3? It will stay at -1

(4^2 * -1) ^2

what is 4^2? it is the same a 4*4

whitch is 16

(16-1)^2

16-1?

(15)^2, same thing as 15*15

whitch is 225

makingn 255 your answer

Answer:

C.  The x-coordinate of the vertex must be 6

Step-by-step explanation:

The parabola intercepts the x-axis when y = 0.

Therefore, if the quadratic equation has the points (2, 0) and (10, 0) then the x-intercepts or "zeros" are x = 2 and x = 10.

The x-coordinate of the vertex is the midpoint of the zeros.

[tex]\sf \implies midpoint=\dfrac{2+10}{2}=6[/tex]

Therefore, the solution is option C.

Additional Information

The leading coefficient of a quadratic tells us if the parabola opens upwards or downwards:

We have not been given this information and so therefore cannot determine the way in which it opens.

As we do not know the way in which way the parabola opens, we cannot determine if the parabola will have a negative or positive y-intercept.

We have not been given the full quadratic equation, and so we cannot determine if the parabola is wider (or narrower) than the parent function.

Find the quadratic equation

[tex]\\ \rm\Rrightarrow (x-2)(x-10)=y[/tex]

[tex]\\ \rm\Rrightarrow y=x(x-10)-2(x-10)[/tex]

[tex]\\ \rm\Rrightarrow y=x^2-10x-2x+20[/tex]

[tex]\\ \rm\Rrightarrow y=x^2-12x+20[/tex]

Convert to vertex form of parabola

[tex]\\ \rm\Rrightarrow y=x^2-2(6x)+20+16-16[/tex]

[tex]\\ \rm\Rrightarrow y=x^2-2(6x)+36-16[/tex]

[tex]\\ \rm\Rrightarrow y=(x-6)^2-16[/tex]

Option A and C is correct

You can prove triangles’ congruence with things called axioms (or postulates). For triangles, there are four:

(S means Side, A means Angle)

SAS

SSS

ASA

AAS

If you go round a triangle, in order (so aside, then the next angle, next side, etc.), and find that everything from one of these postulates is equal, you have two congruent triangles.

(These triangles’ sides and angles, which are marked on the image, are equal to the other’s)

This diagram shows the SAS axiom, as the equal parts of the triangle go in order of a side (Y to Z), an angle (Y to Z to X), and another side (Z to X).

Hope this helps!

The coordinates of the final point after the two reflections is (-7, -4)

For a point (x, y), a reflection across the x-axis gives the point (x, -y), while for a point (x, y) a reflection across the y-axis gives (-x, y).

In this case, we have the point (7, 4), first we reflect across the x-axis, so we get the point (-7, 4).

Now we reflect across the y-axis, so the sign of the y-component changes, and we get (-7, -4)

So the coordinates of the final point after the two reflections is (-7, -4).

If you want to learn more about reflections, you can read:

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A sample median of 1,005 visitors would be most likely to occur for the sample size given by: Option A: 20

As the value of n (the sample size) grows larger, the sampling distribution tends to being normal. For an approximate normal distribution, its mean, median, and mode all are approx coincident. And as the sample size increases, the sample mean tends to being the population mean as per the weak law of large numbers. For n > 30, we can approximate it using normal distribution usually.

We're given that:

So, as we know, as the sample size increases, the sample mean and sample median and sample mode, all will tend to the population mean, median and mode (assuming population is large enough that they're all same).

Thus, the smaller the sample size, the more likely it is for holding 1005 as sample median instead of approx 893.

So, size 20 is most likely to have that median as it is the smallest sample size given.

Thus, a sample median of 1,005 visitors would be most likely to occur for the sample size given by: Option A: 20

Learn  more about weak law of large numbers here:

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#SPJ1

Using it's concept, it is found that there is a [tex]\frac{1}{10000}[/tex] probability of an access code "1234".

A probability is given by the number of desired outcomes divided by the number of total outcomes.

Considering that each digit has 10 possible outcomes, and there are 4 digits, the total number of outcomes is given by:

[tex]T = 10^4 = 10000[/tex].

1234 is only one access code, hence the probability is given by:

[tex]p = \frac{1}{10000}[/tex]

More can be learned about probabilities at https://brainly.com/question/14398287

Answer:

d

Step-by-step explanation:

Answer:

$35.30

Step-by-step explanation:

24.95+39.75 because this is the money he has spent.
This, in total, will be 64.7
Lastly, the problem states that Ramon has $100 in total, so you subtract.
$100-64.7=35.3
He has $35 and 30 cents left.

The greatest possible probability in any experiment is 1 as the least possible probability in any experiment is 0.

Probability simply means the likelihood of the occurence of an event.

In this case, the greatest possible probability in any experiment is 1 as the least possible probability in any experiment is 0.

Also, a probability around 0.5 means that the event is neither likely nor unlikely.

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The work for the possible next step which Sharina need to do is to distribute the 3 to each term in the parentheses by multiplying.

Simplified form of a term is the simplest way of expression the term, by applying the required operations of mathematics. To simplify the equation, the BODMOS method is used.

Sharina simplified the expression 3(2x – 6 – x 1)2 – 2 4x.

The table of Sharina's work

In this table, rows 3 and 4 are blank. The next term to be filled in the 3rd row. The equation solved by her in the second row is,

[tex]3(x^2 - 10x +25) -2 +4x.[/tex]

According to the rule of BODMAS, she first has to open the bracket by distribute the 3 to each term in the parentheses by multiplying.

Hence, the work for the possible next step which Sharina need to do is to distribute the 3 to each term in the parentheses by multiplying.

Learn more about the simplified form here;

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