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3 years ago

Please help me with the middle question

Mathematics

1 answer:

Gwar [14]3 years ago

3 0

The angles in a triangle must add up to equal 180. When it gives you angle A and angle B, you add them, then subtract it from 180, which will give you the angle C.

65 + 15 = 80

180 - 80 = 100 = Angle C.

It says to list them from smallest to greatest.

<B = 15, <A = 65, <C = 100

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Harry took a loan from the bank.

inna [77]

Answer:

If there is no interest then $9000

Step-by-step explanation:

-200t represents paying back 200 dollars a month

9000 represents original debt (including interest)

3 0

3 years ago

A manufacturer of paper coffee cups would like to estimate the proportion of cups that are defective (tears, broken seems, etc.)

Maksim231197 [3]

Answer:

The 95% confidence interval is $0.0503 < p < 0.1297$

The sample proportion is $\r p = 0.09$

The critical value is $Z_{\frac{\alpha }{2} } = 1.96$

The standard error is $SE =0.020$

Step-by-step explanation:

From the question we are told that

The sample size is n = 200

The number of defective is k = 18

The null hypothesis is $H_o : p = 0.08$

The alternative hypothesis is $H_a : p > 0.08$

Generally the sample proportion is mathematically evaluated as

$\r p = \frac{18}{200}$

$\r p = 0.09$

Given that the confidence level is 95% then the level of significance is mathematically evaluated as

$\alpha = 100 - 95$

$\alpha = 5\%$

$\alpha = 0.05$

Next we obtain the critical value of $\frac{ \alpha }{2}$ from the normal distribution table, the value is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the standard of error is mathematically represented as

$SE = \sqrt{\frac{\r p (1 - \r p)}{n} }$

substituting values

$SE = \sqrt{\frac{0.09 (1 - 0.09)}{200} }$

$SE =0.020$

The margin of error is

$E = Z_{\frac{ \alpha }{2} } * SE$

=> $E = 1.96 * 0.020$

=> $E = 0.0397$

The 95% confidence interval is mathematically represented as

$\r p - E < \mu < p < \r p + E$

=> $0.09 - 0.0397 < \mu < p < 0.09 + 0.0397$

=> $0.0503 < p < 0.1297$

7 0

3 years ago

What is the domain and range of h(t)=cot t

NeTakaya

Domain = R
Range = R .............

7 0

3 years ago

Select all the rates that are unit rates.

Nataly_w [17]

Answer:

$\frac{2/3}{1}$ and $\frac{3}{1}$

Step-by-step explanation:

Options

$\frac{1}{1/3}$ $\frac{2/3}{1}$ $\frac{2}{3}$ $\frac{3}{1}$ $\frac{1}{9}$

Required

Select the unit rates

Unit rate involve two items where the first item being measured can be any positive number, but the second item must be measured in units (i.e. 1)

For clarity:

If $\frac{a}{b}$ represents unit rate, then $b = 1$

Having said that:

Only $\frac{2/3}{1}$ and $\frac{3}{1}$ satisfy the condition of unit rates; others are not because they have a denominator other than 1

3 0

2 years ago

Jayla had a bake sale to raise money. At the end of the day, she had 2 1/ 4 apple pie, 2/ 4 lemon pie, and 1 3 /4 cherry pie lef

irina1246 [14]

Answer:

4 2/4 or 4 1/2

Step-by-step explanation:

2 1/4+1 3/4

If you take 3/4 and add it to 1/4 you get 1 then you at 1+1+2=4 then you add the lemon ie which is 2/4, therefore, the answer is 4 2/4 or 4 1/2(simplified).

8 0

2 years ago

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