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3 years ago

ANSWER ASAP!!! PLS HELP. ANSWER BOTH QUESTIONS FOR ALL POINTS.

Mathematics

2 answers:

iVinArrow [24]3 years ago

8 0

Answer:

128°

Step-by-step explanation:

x + 154° + 78° = 360° {being complete turn}

x + 232° = 360°

x = 360° - 232°

x = 128°

Verizon [17]3 years ago

8 0

someone report this so it will get taken down

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I have worked out trapezium's area but didn't work out triangle's. I need it fast, for tomorrow

Soloha48 [4]

Answer:

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3 0

3 years ago

The Ohio Department of Agriculture tested 203 fuel samples across the state

Rus_ich [418]

Answer:

$\hat p = \frac{14}{105}= 0.133$

And that represent the proportion of failures.

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

If we replace the values obtained we got:

$0.133 - 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.0475$

$0.133 + 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.2185$

The 99% confidence interval would be given by (0.0475;0.2185)

Step-by-step explanation:

Previous concept

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by $\alpha=1-0.99=0.01$ and $\alpha/2 =0.005$ . And the critical value would be given by:

$z_{\alpha/2}=-2.58, z_{1-\alpha/2}=2.58$

The proportion estimated would be:

$\hat p = \frac{14}{105}= 0.133$

And that represent the proportion of failures.

The confidence interval for the mean is given by the following formula:

$\hat p \pm z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

If we replace the values obtained we got:

$0.133 - 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.0475$

$0.133 + 2.58\sqrt{\frac{0.133(1-0.133)}{105}}=0.2185$

The 99% confidence interval would be given by (0.0475;0.2185)

3 0

3 years ago

Read 2 more answers

What is the perimeter of the shape below? 3 cm 4 cm 8 cm 4 cm

UNO [17]

Answer:

Step-by-step explanation:

it is 19 cm

5 0

2 years ago

3 pounds of bannas cost $1.5 What is the costant of this proportionly that relates the cost in dollars y,to the number of pounds

Sergeu [11.5K]

Answer:

.50 cents per pound

Step-by-step explanation:

5 0

3 years ago

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Question 13

charle [14.2K]

The amount to be invested today so as to have $12,500 in 12 years is $6,480.37.

The amount that would be in my account in 13 years is $44,707.37.

The amount I need to deposit now is $546.64.

<h3>How much should be invested today?</h3>

The amount to be invested today = future value / (1 + r)^nm

Where:

r = interest rate = 5.5 / 365 = 0.015%
m = number of compounding = 365
n = number of years = 12

12500 / (1.00015)^(12 x 365) = $6,480.37

<h3>What is the future value of the account at the end of 13 years?</h3>

Future value = monthly deposits x annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

r = interest rate = 5.3 / 12 = 0.44%
n = 13 x 12 = 156

200 x [{(1.0044^156) - 1} / 0.0044] = $44,707.37

<h3>What should be the monthly deposit?</h3>

Monthly deposit = future value / annuity factor

Annuity factor = {[(1+r)^n] - 1} / r

Where:

r = 6.7 / 12 = 0.56%
n = 2 x 12 = 24

$14,000 / [{(1.0056^24) - 1} / 0.0056] = $546.64

To learn more about annuities, please check: brainly.com/question/24108530

#SPJ1

4 0

2 years ago