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3 years ago

Write a word problem for the inequality -3.5 < -2.5

1 answer:

8 0

Jack is in debt after borrowing some money. He has more than -3.5 dollars and less than -2.5 dollars. Write this as an inequality.

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Write the polar form of a complex number in standard form for <img src="https://tex.z-dn.net/?f=8%5Bcos%28%5Cfrac%7B%5Cpi%7D%7B2

laila [671]

Answer:

Solution : 8i

Step-by-step explanation:

We can use the trivial identities cos(π / 2) = 0, and sin(π / 2) = 1 to solve this problem. Let's substitute,

$8\left[cos\left(\frac{\pi }{2}\right)+isin\left(\frac{\pi \:}{2}\right)\right]$ = $8\left(0+1i\right)$

And of course 1i = i, so we have the expression 8(0 + i ). Distributing the " 8, " 8( 0 ) = 0, and 8(i) = 8i, making the fourth answer the correct solution.

7 0

3 years ago

If you are facing north. Turn 90 degrees left. Turn 180 degrees right. Reverse direction. Turn 45 degrees left. Reverse directio

ololo11 [35]

Northeast. Im not 100% sure though,,,,

7 0

2 years ago

Read 2 more answers

Jeff has $24. He spend $10.81, including tax, to buy a new DVD. He needs to set aside $10 to pay for his lunch next week. If pea

nata0808 [166]

Answer:

He can buy 8 packages of peanuts

Step-by-step explanation:

24 - 10.81 = 13.19 Subtract the DVD cost from the $24

13.19 - 10 Subtract the amount that he needs to set aside

3.19 / 0.38 Divide

8 Round to the nearest whole package

8 packages

8 0

3 years ago

In an effort to reduce boarding time, an airline tries a new method of boarding its planes. Historically, only 32% of passengers

Nesterboy [21]

Answer:

Test statistics of <u>1.455 </u>

P-value = 0.0728

Step-by-step explanation:

From the given information:

The test statistics can be computed as:

$Z = \dfrac{\hat p - p }{\sqrt{\dfrac{p(1-p)}{n} }} \\ \\ \\ Z = \dfrac{0.44 -0.32}{\sqrt{\dfrac{0.32(1-0.32)}{32} }}$

Z = 1.455

We want to test if the customer satisfaction increased significantly(one-tailed test)

Null hypothesis:

$H_o : p= 0.32$

Alternative hypothesis:

$H_a: p>0.32$

P-value = P(Z>1.455)

= 0.0728

b) Type II error implies the error of accepting $H_o \ (i.e\ \text{ the null \ hypothesis)}$ when $H_a \ (i.e\ \text{ the alternative \ hypothesis)}$ is true.

This implies inferring that there is no huge improvement in passenger's satisfaction when there is.

c) Type 1 and Type II errors are inversely proportional. In this situation, as one increases, the other definitely decreases.

∴ A Smaller value of Type II error will be achieved by a higher type I error.

⇒ 0.10

4 0

2 years ago

Assume that y varies inversely as x. If y = -8 when x = -9, find y when x = 4.

IrinaVladis [17]

Y α 1/x

y = k/x Where k is the constant of proportionality.

xy = k Cross Multiplying.

k = xy

Recall y= -8 when x = -9

k = -9 * -8 = 72

Finding y when x = 4.

k = xy

72 = 4y Divide both sides by 4.

y = 72/4 = 18.

y = 18.

6 0

3 years ago