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2 years ago

Best answer gets brainliest

Mathematics

2 answers:

Delvig [45]2 years ago

7 0

Step-by-step explanation:

37t means 37 x t. We are solving for t.

First, we need to divide 243.46 by 37.

243.46÷37=6.58

t=6.58

Now we need to check and make sure our answer is correct.

Since we are solving for t, we need to multiply 37 by 6.58 to make sure our answer is correct.

37 x 6.58= 243.46. We got 243.46 which means it is correct.

solmaris [256]2 years ago

3 0

Answer:

Step-by-step explanation:

Divide 243.46 by 37 to solve for t

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gary spent $350 on clothes. Jeans cost $50 each and shorts cost $15 each. if he bought 14 total items, how many jeans and shirts

mario62 [17]

Answer:

Step-by-step explanation:

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3 years ago

Solve the proportion 2x/5 = 9/15

yuradex [85]

The answer is x=4.5 because 9÷2=4.5 and 4.5×2=9

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3 years ago

Read 2 more answers

a. (5 points) Let’s assume that over the course of a day you put up a total amount of $1000 in bets. Now, you know that you don’

FrozenT [24]

So umm ahh I won't tell answer but I'll teach HOW to solve it :>

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3 years ago

Find a unit vector that has the same direction as the given vector. 8i ? j + 4k

e-lub [12.9K]

Answer with Step-by-step explanation:

a.Let given vector

a=8i-j+4k

$\mid a\mid=\sqrt{(8)^2+(-1)^2+(4)^2}=9$

By using the formula

Magnitude of a vector= $\sqrt{x^2+y^2+z^2}$

Where x=Coefficient of i

y=Coefficient of j

z=Coefficient of k

Unit vector= $\hat{a}=\frac{a}{\mid a\mid}$

By using the formula

The unit vector= $\hat{a}=\frac{8i-j+4k}{9}=\frac{8}{9}i-\frac{1}{9}j+\frac{4}{9}k$

b.Let vector b=-2i+4j+2k

$\mid b\mid=\sqrt{(-2)^2+4^2+2^2}=2\sqrt 6$

$\hat{b}=\frac{-2i+4j+2k}{2\sqrt 6}$

Length of vector=6

Therefore, the vector in the direction of <-2,4,2> with length 6 is given by = $6\hat{b}=6\times \frac{-2i+4j+2k}{2\sqrt 6}$

The vector in the direction of <-2,4,2> with length 6 is given by = $-\sqrt 6(-i+2j+k)$

c. $\theta=\frac{\pi}{3}$

$\mid v\mid=8$

Let v= $v_x i+v_y j$

$v_x=\mid v\mid cos\theta$

$v_x=8cos\frac{\pi}{3}=8\times \frac{1}{2}=4$

$cos\frac{\pi}{3}=\frac{1}{2}$

$v_y=\mid v\mid sin\theta$

$v_y=8\times sin\frac{\pi}{3}=8\times \frac{\sqrt 3}{2}=4\sqrt 3$

$sin\frac{\pi}{3}=\frac{\sqrt 3}{2}$

Therefore, the vector v in component form= $4i+4\sqrt 3j$

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3 years ago

A researcher is investigating a government claim that the unemployment rate is less than 5%. To test this claim, a random sample

DerKrebs [107]

Answer:

The test statistic for this hypothesis test for a proportion is z=1.90.

Step-by-step explanation:

This is a hypothesis test for a proportion.

The claim is that the unemployment rate is less than 5%.

Then, the null and alternative hypothesis are:

$H_0: \pi=0.05\\\\H_a:\pi$

The sample has a size n=1500.

The sample proportion is p=0.061.

$p=X/n=92/1500=0.061$

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.05*0.95}{1500}}\\\\\\ \sigma_p=\sqrt{0.000032}=0.0056$

Then, we can calculate the z-statistic as:

$z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.061-0.05-0.5/1500}{0.0056}=\dfrac{0.0107}{0.0056}=1.90$

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4 years ago