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2 years ago

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The angle of elevation to the top of a Building in New York is found to be 2 degrees from the ground at a distance of 2 miles fr

om the base of the building. Using this information, find the height of the building. Round to the tenths. Hint: 1 mile = 5280 feet

1 answer:

natulia [17]2 years ago

3 0

Check the picture below.

make sure your calculator is in Degree mode.

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At 1:00 am, the temperature in Finland was -8⁰F. By noon, the temperature was 25⁰F. What was the change in temperature, in degre

Margarita [4]

The temperature went up by 33° fahrenheit because -8+8=0 and 0+25= 25 so 8+25=33

6 0

2 years ago

A professor grades students on four tests, a term paper, and a final examination. Each test counts as 15% of the course grade. T

alina1380 [7]

Answer:

The Alans's average for the course is 84.5

Step-by-step explanation:

We are given

There are 4 tests, A Term paper and a Final examination.

Score = 92, 78, 82, 90.

Term paper score = 80

Final examination score = 86

Weighted mean = ∑ w.f/∑w

also the sum of all the weights is 100% = 1

weighted mean = 15%*92 + 15%*78+15%*82+15%*90+20%*80+20%*86/1

= 51.3 + 33.2

= 84.5

Therefore the Alans's average for the course is 84.5

5 0

2 years ago

Help picture below problem 18

Natali [406]

<u>Solution</u><u> </u><u>:</u><u>-</u>

This triangle is a right angled triangle as we can see ∠POC, has a right angled sign. Now, we will assume the missing angle to be x, thus,

25° + 90° + x = 180° ( Angle sum property of a triangle )

115° + x = 180°

x = 180° - 115°

x = 65°

Thus, the measure of missing angle is 65°.

Hope that helps. :D

3 0

2 years ago

A student at a four-year college claims that mean enrollment at four-year colleges is higher than at two-year colleges in the Un

WINSTONCH [101]

Answer:

Part 1: The statistic

$t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}}$ (1)

And the degrees of freedom are given by $df=n_1 +n_2 -2=35+35-2=68$

Replacing we got

$t=\frac{(5135-4436)-0}{\sqrt{\frac{783^2}{35}+\frac{553^2}{35}}}}=4.31$

Part 2: P value

Since is a right tailed test the p value would be:

$p_v =P(t_{68}>4.31)=0.000022 \approx 0.00002$

Comparing the p value we see that is lower compared to the significance level of 0.01 so then we can reject the null hypothesis and we can conclude that the mean for the four year college is significantly higher than the mean for the two year college and then the claim makes sense

Step-by-step explanation:

Data given

$\bar X_{1}=5135$ represent the mean for four year college

$\bar X_{2}=4436$ represent the mean for two year college

$s_{1}=783$ represent the sample standard deviation for four year college

$s_{2}=553$ represent the sample standard deviation two year college

$n_{1}=35$ sample size for the group four year college

$n_{2}=35$ sample size for the group two year college

$\alpha=0.01$ Significance level provided

t would represent the statistic (variable of interest)

System of hypothesis

We need to conduct a hypothesis in order to check if the mean enrollment at four-year colleges is higher than at two-year colleges in the United States , the system of hypothesis would be:

Null hypothesis: $\mu_{1}-\mu_{2}\leq 0$

Alternative hypothesis: $\mu_{1} - \mu_{2}> 0$

We can assume that the normal distribution is assumed since we have a large sample size for each case n>30. So then the sample mean can be assumed as normally distributed.

Part 1: The statistic

$t=\frac{(\bar X_{1}-\bar X_{2})-\Delta}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}}$ (1)

And the degrees of freedom are given by $df=n_1 +n_2 -2=35+35-2=68$

Replacing we got

$t=\frac{(5135-4436)-0}{\sqrt{\frac{783^2}{35}+\frac{553^2}{35}}}}=4.31$

Part 2: P value

Since is a right tailed test the p value would be:

$p_v =P(t_{68}>4.31)=0.000022$

Comparing the p value we see that is lower compared to the significance level of 0.01 so then we can reject the null hypothesis and we can conclude that the mean for the four year college is significantly higher than the mean for the two year college and then the claim makes sense

6 0

2 years ago

Pls help me, will give brainliest.

xxMikexx [17]

Answer: i am almost positive its (A)

i really hope im not wrong because this answer is the only one that has a stable rising action going up by the same number it did with the number before it. if its not right then your other option is (D)

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers