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Nookie1986 [14]

3 years ago

14

Dan’s computer reads 68% of the battery left after 1 hour. If the rate of using power remains the same, about how much longer wi

ll his battery provide power?

2 answers:

alekssr [168]3 years ago

6 0

Answer:

just over 2 hours left

Step-by-step explanation:

zubka84 [21]3 years ago

3 0

H is the answers hsjshsjshauiaau

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HighTech Inc. randomly tests its employees about company policies. Last year in the 560 random tests conducted, 26 employees fai

Tanzania [10]

Answer:

The 98% confidence interval for the proportion of applicants that fail the test is (0.025, 0.067).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.

$\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}$

In which

z is the zscore that has a pvalue of $1 - \frac{\alpha}{2}$ .

For this problem, we have that:

560 random tests conducted, 26 employees failed the test. This means that $n = 560, \pi = \frac{26}{560} = 0.046$

98% confidence level

So $\alpha = 0.02$ , z is the value of Z that has a pvalue of $1 - \frac{0.02}{2} = 0.99$ , so $Z = 2.33$ .

The lower limit of this interval is:

$\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.046 - 2.33\sqrt{\frac{0.046*0.954}{560}} = 0.025$

The upper limit of this interval is:

$\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.046 + 2.33\sqrt{\frac{0.046*0.954}{560}} = 0.067$

The 98% confidence interval for the proportion of applicants that fail the test is (0.025, 0.067).

5 0

4 years ago

You start driving north for 24 miles, turn right, and drive east for another 10 miles. At the end of driving, what is your strai

yawa3891 [41]

Answer:

26 miles

Step-by-step explanation:

Given: 24 miles drive to north.

10 miles drive to east.

Driving pattern form a right angle triangle, which has three leg including straight line distance from starting point (hypotenous).

Now, using Pythogorean theoram to find straight line distance from starting point.

h²= a²+b²

Where, h is hypotenous

a is opposite leg

b is adjacent leg.

⇒h²= $24^{2} + 10^{2}$

⇒ $h^{2} = 576+100$

⇒ $h^{2} = 676$

Taking square root on both side, remember; √a²= ±a

⇒ $h=\sqrt{676}$

∴ $h= \pm 26$

Ignoring -26 as distance cannot be negative.

Hence, 26 miles is the straight line distance from starting point.

8 0

3 years ago

A+0=0+a=0 is true except for all teal numbers except 0 true or false

jolli1 [7]

Try it with some random number, like a=3.

Is "3+0 = 0+3 = 0" true? No.

If you were doing multiplication, then it would be true, but not with addition.

6 0

3 years ago

a 56 inch board is to be cut into three pieces so that the second piece is three times as long as the first piece and a third pi

wolverine [178]

X + 3x + 4x = 56
8x = 56
x = 7

The shortest piece is 7 inches
The middle piece is 7*3 = 21 inches.
The longest piece is 4*7 = 28 inches

Check
7 + 21 + 28 = 56 It does check and the lengths are correct.

7 0

3 years ago

Zoe shows her work in finding the solution to 9 – 7x = 7 – 4(2x 3). which choice describes the error in her solution?

FinnZ [79.3K]

I'll assume the above equation is: 9 - 7x = 7 - 4(2x+3)

* do distributive multiplication
9 - 7x = 7 - 8x - 12

*move like terms
-7x + 8x = 7 - 12 - 9

* solve for x
x = 7 - 21
x = -14

To check, substitute x by its value -14

9 - 7x = 7 - 4(2x+3)
9 - 7(-14) = 7 -4[2(-14) + 3]
9 + 98 = 7 - 4(-28 +3)
107 = 7 - 4(-25)
107 = 7 + 100
107 = 107

5 0

3 years ago