3.274 x 10^3 as an ordinary number

The table shows how an elevator 500 feet above the ground is descending at a steady rate. Which equation represents the height,

Gennadij [26K]

This is the concept of algebra, given that the elevator is 500ft above the ground and it is descending at a steady rate of 5ft/sec. Then height h, at time t of the elevator movement can be modeled by the equation:
h(t)=-5t+500.
The correct answer is h(t)=-5t+500

5 0

2 years ago

To plan the budget for next year a college must update its estimate of the proportion of next year's freshmen class that will ne

Naily [24]

Answer:

Null hypothesis: $p\leq 0.35$

Alternative hypothesis: $p > 0.35$

$z=\frac{0.447 -0.35}{\sqrt{\frac{0.35(1-0.35)}{150}}}=2.491$

$p_v =P(z>2.491)=0.0064$

So the p value obtained was a very low value and using the significance level assumed $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of applicants who request financial aid is significantly higher than 0.35

Step-by-step explanation:

Data given and notation

n=150 represent the random sample taken

X=67 represent the applicants who request financial aid

$\hat p=\frac{67}{150}=0.447$ estimated proportion of applicants who request financial aid

$p_o=0.35$ is the value that we want to test

$\alpha$ represent the significance level

z would represent the statistic (variable of interest)

$p_v$ represent the p value (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to test the claim that the true proportion of applicants who request financial aid is higher than 0.35.:

Null hypothesis: $p\leq 0.35$

Alternative hypothesis: $p > 0.35$

When we conduct a proportion test we need to use the z statistic, and the is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

The One-Sample Proportion Test is used to assess whether a population proportion $\hat p$ is significantly different from a hypothesized value $p_o$ .

Calculate the statistic

Since we have all the info requires we can replace in formula (1) like this:

$z=\frac{0.447 -0.35}{\sqrt{\frac{0.35(1-0.35)}{150}}}=2.491$

Statistical decision

It's important to refresh the p value method or p value approach . "This method is about determining "likely" or "unlikely" by determining the probability assuming the null hypothesis were true of observing a more extreme test statistic in the direction of the alternative hypothesis than the one observed". Or in other words is just a method to have an statistical decision to fail to reject or reject the null hypothesis.

The next step would be calculate the p value for this test.

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

$p_v =P(z>2.491)=0.0064$

So the p value obtained was a very low value and using the significance level assumed $\alpha=0.05$ we have $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the proportion of applicants who request financial aid is significantly higher than 0.35

5 0

2 years ago

The image shows parallel lines cut by a transversal. The expressions represent unknown angle measurements. What is the value of

Anna35 [415]

Answer:

x = 8

Step-by-step explanation:

5 0

2 years ago

Allen is showing his work in simplifying –8.3 + 9.2 – 4.4 + 3.7. Identify and explain any errors in his work or in his reasoning

avanturin [10]

Simplifying –8.3 + 9.2 – 4.4 + 3.7.

Identify and explain any errors in his work or in his reasoning

Original problem 1. −8.3 + 9.2 + 4.4 + 3.7

Additive inverse 2. −8.3 + 4.4 + 9.2 + 3.7 (error, not additive inverse; +3-3=0)

Commutative property 3. −8.3 + (4.4 + 9.2 + 3.7)

Associative property 4. −8.3 + 17.3

Simplify 5. 9

8 0

2 years ago

Read 2 more answers

4. A cruise ship travels in the direction of 55degrees for 40 miles, then changes course to a direction of 100 degrees for 35 mi

olga2289 [7]

Answer:

69.3 mi

Step-by-step explanation:

Let x represent the distance of the ship from its original position.

x²= 40² + 35² -2(40)(35)cos(135)

$x^{2} =4804.9$