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2 years ago

Shelly has a plan to save $500 for a trip that is 8 weeks away. She already has $50 in her

Mathematics

2 answers:

FromTheMoon [43]2 years ago

3 0

Answer:

She will still need about 450$

Step-by-step explanation:

So from what I have learned, she will need to work in order to get the money, but even when she is working, she may have expenses to pay and she may not make it, but she will because she can do loans and when she earns the money from loans, then she can pay, then she may have left over money she can use while on trip.

zavuch27 [327]2 years ago

3 0

I don’t know but it’s about 400 or 450

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While on vacation Craig bought a pair of sunglasses for $15.98 for $7.99 5 postcards and a beach towel the beach towel cost 0.50

NISA [10]

Answer:

$0.79.

Step-by-step explanation:

Let T= The price of beach towel,

P = The cost of each postcard.

S = The cost of sunglasses.

H = The cost of hat.

We have been given that while on vacation Craig bought a pair of sunglasses for $15.98. The beach towel cost 0.50 cents more than half the price of sunglasses.

We can set this information in an equation as:

$T=\frac{15.98}{2}+0.50$

$T=7.99+0.50$

$T=8.49$

We are told that Craig gave the cashier $40 and got 3.59 change and each postcard cost the same. So we can set this information in an equation as:

$T+5P+S+H=40-3.59$

Let us substitute our given values.

$8.49+5P+15.98+7.99=40-3.59$

Let us combine like terms.

$32.46+5P=36.41$

Let us subtract 32.46 from both sides of our equation.

$32.46-32.46+5P=36.41-32.46$

$5P=3.95$

Let us divide both sides of our equation by 5.

$\frac{5P}{5}=\frac{3.95}{5}$

$P=0.79$

Therefore, each postcard costs $0.79.

5 0

2 years ago

C) How many times would you expect to roll a 5 when<br> a fair dice is thrown 3000 times?

Ray Of Light [21]

Answer:

500

Step-by-step explanation:

The probability is 1/6.

So, find 1/6 of 3,000.

1/6 * 3,000 = 3,000/6 = 500

3 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:

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

5 0

3 years ago

Two times a number is at least 16.<br> Inequality

frutty [35]

Answer:

2x<16

Step-by-step explanation:

6 0

2 years ago

What is the equation of a line with a slope of −4 and a point (−2, 5) on the line? Express the equation in the form

Alja [10]

Answer:

y = - 4x - 3

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + b ( m is the slope and c the y- intercept )

Here m = - 4, thus

y = - 4x + b ← is the partial equation

To find b substitute (- 2, 5) into the partial equation

5 = 8 + b ⇒ b = 5 - 8 = - 3

y = - 4x - 3 ← equation of line

6 0

2 years ago

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