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3 years ago

6

Which equation can be used to find T the number of tickets each class needs to sell so that the total amount raised is the same

for both classes

1 answer:

sasho [114]3 years ago

5 0

Answer:

C.

Step-by-step explanation:

If you know how much each class is selling tickets for and how much they've already raised then you take those two values and set them equal to each other.

<em>2.5t + 350 = 3t + 225</em>

To actually find the number of tickets each class would have to sell you would just solve for t.

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If you run for 3 hours at 5 miles per hour, how far will you run?<br><br> ____miles?

Westkost [7]

Answer and Step-by-step explanation:

Simply multiply 3 by 5.

We do this because for every hour we run, we run 5 miles, and the person runs for 3 hours.

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3 years ago

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Find the average value of the function on the given interval.<br> f(x)=ex/7; [0,7]

Anastaziya [24]

Answer:

$f_{avg}=e-1$

Step-by-step explanation:

We are given that a function

$f(x)=e^{\frac{x}{7}}$

We have to find the average value of function on the given interval [0,7]

Average value of function on interval [a,b] is given by

$\frac{1}{b-a}\int_{a}^{b}f(x)dx$

Using the formula

$f_{avg}=\frac{1}{7-0}\int_{0}^{7}e^{\frac{x}{7}} dx$

$f_{avg}=\frac{1}{7}[e^{\frac{x}{7}}\times 7)]^{7}_{0}$

By using the formula

$\int e^{ax}=\frac{e^{ax}}{a}$

$f_{avg}=(e-e^0)=e-1$

Because $e^0=1$

$f_{avg}=e-1$

Hence, the average value of function on interval [0,7]

$f_{avg}=e-1$

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3 years ago

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Artyom0805 [142]

Answer:

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Step-by-step explanation:

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3 years ago

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Justin built a display stand out of two rectangular prisms. The smaller rectangular prism is 2 inches tall, 4 inches wide, and 6

Lady bird [3.3K]

Answer:

428 square inches

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Surface area of a prism: 2wl +2lh+2hw

Where w is the width of the prism; l the length; and h the height.

Replacing with the values given:

S (smaller prism) = 2 (4x6) + 2(6x2)+ 2(2x4)=48+24+16= 88 in2

S (larger prism) = 2 (8x10) +2 (10 x5)+2(5x8)= 160+100+80=340in2

Adding both surface areas:

88+340 =428 in2

Feel free to ask for more if needed or if you did not understand something.

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3 years ago

A civil engineer is analyzing the compressive strength of concrete. Compressive strength is normally distributed with σ = 31.62

AysviL [449]

Answer:

A sample size of at least 737 specimens is required.

Step-by-step explanation:

We have that to find our $\alpha$ level, that is the subtraction of 1 by the confidence interval divided by 2. So:

$\alpha = \frac{1-0.99}{2} = 0.005$

Now, we have to find z in the Ztable as such z has a pvalue of $1-\alpha$ .

So it is z with a pvalue of $1-0.005 = 0.995$ , so $z = 2.575$

Now, find the width M as such

$M = z*\frac{\sigma}{\sqrt{n}}$

In which $\sigma$ is the standard deviation of the population and n is the size of the sample.

In this problem, we have that:

$M = 3, \sigma = 31.62$

So:

$M = z*\frac{\sigma}{\sqrt{n}}$

$3 = 2.575*\frac{31.62}{\sqrt{n}}$

$3\sqrt{n} = 81.4215$

$\sqrt{n} = 27.1405$

$n = 736.60$

A sample size of at least 737 specimens is required.

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3 years ago