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3 years ago

What is 4/5 of 2? write answer in decimal form.?

1 answer:

5 0

The decimal form of 4/5 is .8, which can also be written as 0.8 or 0.80.Fractions can be converted into decimals using a calculator or by doing the math manually

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A pole casts a 6-foot shadow. If the distance from the top of the pole to the tip of the shadow is

KATRIN_1 [288]

Answer:

8feet high

Step-by-step explanation:

To get the height of the pole, we will use the pythagoras theorem. Let H be the height

H² = 10² -6²

H² = 100 - 36

H² = 64

H = √64

H = 8feet

Hence the pole is 8feet high

3 0

3 years ago

Hannah was asked to make d the subject of the formula<br> d-7=4d+3/e<br> Finish her question.

tigry1 [53]

Answer:

$d = \frac{-1}{e} - \frac{7}{3}$

Step-by-step explanation:

In order to make d the subject of the formula, you need to isolate it.

- You started with d-7 = 4d + 3/e

- Move 4d to the left side by subtracting 4d from both sides to cancel it from the right so you have...

d - 7 = 4d + 3/e This will leave you left with -3d - 7 = 3/e

-4d -4d

- Then move over the -7 by adding 7 to both sides...

-3d - 7 = 3/e This will leave you left with -3d = 3/e + 7

+7 +7

- Finally to get d by itself divide both sides of the equation by -3 and you'll be left with...

$d = \frac{3}{-3e} -\frac{7}{3}$

- You can cancel out the 3 in the -3/3e and make it -1/e so your final answer will be

$d = \frac{-1}{e} - \frac{7}{3}$

5 0

3 years ago

A student wanted to construct a 95% confidence interval for the average age of students in her statistics class. She randomly se

Darina [25.2K]

Answer: (17.42, 20.78)

Step-by-step explanation:

As per given , we have

Sample size : n= 9

$\overline{x}=19.1$ years

Population standard deviation is not given , so it follows t-distribution.

Sample standard deviation : s= 1.5 years

Confidence level : 99% or 0.99

Significance level : $\alpha= 1-0.99=0.01$

Degree of freedom : df= 8 (∵df =n-1)

Critical value : $t_c=t_{(\alpha/2,\ df)}=t_{0.005,\ 8}= 3.355$

The 99% confidence interval for the population mean would be :-

$\overline{x}\pm t_c\dfrac{s}{\sqrt{n}}$

$19.1\pm (3.355)\dfrac{1.5}{\sqrt{ 9}}\\\\=19.1\pm1.6775\\\\=(19.1-1.6775,\ 19.1+1.6775)\\\\=(17.4225,\ 20.7775)\approx(17.42,\ 20.78)$

Hence, the 99% confidence interval for the population mean is (17.42, 20.78) .

7 0

3 years ago

Do you think a negative number raised to an even power will be positive or negative? Explain.

Tanya [424]

Answer:

A negative number taken to an even power gives a positive result (because the pairs of negatives cancel), and a negative number taken to an odd power gives a negative result (because, after cancelling, there will be one minus sign left over).

Step-by-step explanation:

4 0

3 years ago

When the turnpike littered the toll, traffic increased from 1,500 cars per day to 2,700

umka21 [38]

Answer:

80%

Step-by-step explanation:

The percentage change between two numbers can be calculated as ...

percentage change = ((new value)/(old value) -1) × 100%

= (2700/1500 -1) × 100% = (1.80 -1) × 100% = 80%

Traffic volume increased 80%.

6 0

3 years ago