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3 years ago

Pedro bought a skateboard last week. The list price of the skateboard was $64.90. He has a 20% coupon. He has to pay 8.5%

1 answer:

3 0

Take the original price and times it by .8 (you could times it by .2 and then subtract from the original price but multiplying it by .8 is much easier) 64.9x.8= 51.92 take your discounted price and multiply it by 1.085 to account for the sales tax (you multiply by 1.085 to account for the price of the item and the tax you could times it by .085 and then add it on to the price of the item but this way it shortens the amount of steps needed) 51.92x1.085= 56.3332
Round to the nearest cent
Answer=$56.33

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A random sample of n = 40 observations from a quantitative population produced a mean x = 2.2 and a standard deviation s = 0.29.

zmey [24]

Answer:

$t=\frac{2.2-2.1}{\frac{0.29}{\sqrt{40}}}=2.18$

$df=n-1=40-1=39$

Since is a one side test the p value would be:

$p_v =P(t_{(39)}>2.18)=0.0177$

If we compare the p value and the significance level given $\alpha=0.05$ we see that $p_v$ so we can conclude that we have enough evidence to reject the null hypothesis, and then the population mes seems to be higher than 2.1 at 5% of significance

Step-by-step explanation:

Data given and notation

$\bar X=2.2$ represent the sample mean

$s=0.29$ represent the sample standard deviation

$n=40$ sample size

$\mu_o =2.1$ represent the value that we want to test

$\alpha=0.05$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

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

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is higher than 2,1, the system of hypothesis would be:

Null hypothesis: $\mu \leq 2.1$

Alternative hypothesis: $\mu > 2.1$

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{2.2-2.1}{\frac{0.29}{\sqrt{40}}}=2.18$

P-value

The first step is calculate the degrees of freedom, on this case:

$df=n-1=40-1=39$

Since is a one side test the p value would be:

$p_v =P(t_{(39)}>2.18)=0.0177$

Conclusion

7 0

3 years ago

Jayden leans a 30-foot ladder against a wall so that it forms an angle of 65 ∘ with the ground. How high up the wall does the la

vaieri [72.5K]

Answer:

27.19 ft.

Step-by-step explanation:

sin 65 = x/30

sin 65(30) = x

27.189 ≈27.19

8 0

3 years ago

Do even numbers have more factors in odd numbers or do i numbers have more factors than even numbers

Serggg [28]

<span>It is because even numbers always have a factor of two, and therefore, larger composite even numbers will have factors of two and other even numbers based around two, such as 4, 8, 16, 32, and so on. On the other hand, numbers which are odd can have factors of 3, 5, and 7 for example, and their numbers based around them(3, 9, 27; 5, 10, 15; 7, 49, 343; and so on). If we look into it, notice how for odd numbers the space between the numbers based around 3, 5, and 7 are increasingly further apart. This is the reason why less large odd integers to have numerous factors. It is because odd numbers cannot have the prime factor 2, this will reduce their factor number. And is is also because even numbers are already divided by 2, this will give them more factors over the odd numbers.</span>

4 0

3 years ago

Find f(2) if f(x) = (x 1)2.

Katyanochek1 [597]

I hope this helps you

x=2

f (2)=(2+1)^2=3^2=9

8 0

3 years ago

Read 2 more answers

In the kite, the orange diagonal is 10 units and the purple diagonal is 14 units. What is the area of the kite?

Vlada [557]

Answer: 70 square units

Step-by-step explanation:

Area of kite = (one diagonal * another diagonal) / 2

10 * 14 = 140

140 / 2 = 70

3 0

3 years ago