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3 years ago

I need help please look at the picture thx

Mathematics

1 answer:

Goryan [66]3 years ago

3 0

2x + 3x + 10° = 180°

5x + 10° = 180°

5x = 180° - 10°

5x = 170°

x = 170 ÷ 5

x = 34

The largest angel :

3x + 10° = 3(34) + 10° = 102 + 10° = 112°

So, the answer is 112°

Hope it helpful and useful :)

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If the base number is 2/3 and the power is 5.

solniwko [45]

Answer:

32/243

Step-by-step explanation:

do 2 to the 5th and put it above 3 to the 5th

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2 years ago

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The age of a father is 3 times the age of his son. 5 years ago, the father was 4

LUCKY_DIMON [66]

Answer:

Step-by-step explanation:

x = father's age

y = son's age

Nowadays:

3x = y

5 years ago:

4(x - 5) = y - 5

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I hope I've helped you.

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3 years ago

−1/2(7z+4)+1/5(5z−15)

Tanya [424]

Answer:

Step-by-step explanation:

-7z/2 - 2 + z -3

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2 years ago

A marketing researcher wants to find a 96% confidence interval for the mean amount those visitors spend per person per day while

ki77a [65]

Answer:

$n=(\frac{2.054(12)}{4})^2 =37.97 \approx 38$

So then the minimum sample to ensure the condition given is n= 38

Step-by-step explanation:

Notation

$\bar X$ represent the sample mean for the sample

$\mu$ population mean (variable of interest)

$\sigma=12$ represent the population standard deviation

n represent the sample size

ME = 4 the margin of error desired

Solution to the problem

When we create a confidence interval for the mean the margin of error is given by this formula:

$ME=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}$ (a)

And on this case we have that ME =4 and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=(\frac{z_{\alpha/2} \sigma}{ME})^2$ (b)

The critical value for 96% of confidence interval now can be founded using the normal distribution. The significance is $\alpha=1-0.96 =0.04$ . And in excel we can use this formula to find it:"=-NORM.INV(0.02;0;1)", and we got $z_{\alpha/2}=2.054$ , replacing into formula (b) we got:

$n=(\frac{2.054(12)}{4})^2 =37.97 \approx 38$

So then the minimum sample to ensure the condition given is n= 38

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3 years ago

Is d= -12 a solution to the equation 8d+6= -8d-186

kupik [55]

Answer:

It is a solution

Step-by-step explanation:

8d+6= -8d-186

Add 8d to each side

8d+8d+6= -8d+8d-186

16d +6 = -186

Subtract 6 from each side

16d +6-6 = -186 -6

16d = -192

Divide each side by 16

16d/16 = -192/16

d = -12

8 0

2 years ago