What is the area of the triangle?

i have 60+8x=108 x=6 but for the other equation i dont know how to get rid of the 3x to solve for the y.

LUCKY_DIMON [66]

Angle a is congurent to angle e, so 60+8x=108
same with c and g.
so 8y-3x=62
just plug in x for there (6)
so 8y-24=62
then 8y=88
y=11

8 0

4 years ago

13/14% of a quantity is equal to what fraction of the quantity?

svlad2 [7]

The answer is 14 !!!

5 0

3 years ago

Eagle Outfitters is a chain of stores specializing in outdoor apparel and camping gear. They are considering a promotion that in

schepotkina [342]

Answer:

a) Alternative hypothesis: the use of the coupons is isgnificantly higher than 10%.

Null hypothesis: the use of the coupons is not significantly higher than 10%.

The null and alternative hypothesis can be written as:

$H_0: \pi=0.1\\\\H_a:\pi>0.1$

b) Point estimate p=0.13

c) At a significance level of 0.05, there is not enough evidence to support the claim that the proportion of coupons use is significantly higher than 10%.

Eagle should not go national with the promotion as there is no evidence it has been succesful.

Step-by-step explanation:

The question is incomplete.

The sample data shows that x=13 out of n=100 use the coupons.

This is a hypothesis test for a proportion.

The claim is that the proportion of coupons use is significantly higher than 10%.

Then, the null and alternative hypothesis are:

$H_0: \pi=0.1\\\\H_a:\pi>0.1$

The significance level is 0.05.

The sample has a size n=100.

The point estimate for the population proportion is the sample proportion and has a value of p=0.13.

$p=X/n=13/100=0.13$

The standard error of the proportion is:

$\sigma_p=\sqrt{\dfrac{\pi(1-\pi)}{n}}=\sqrt{\dfrac{0.1*0.9}{100}}\\\\\\ \sigma_p=\sqrt{0.0009}=0.03$

Then, we can calculate the z-statistic as:

$z=\dfrac{p-\pi-0.5/n}{\sigma_p}=\dfrac{0.13-0.1-0.5/100}{0.03}=\dfrac{0.025}{0.03}=0.833$

This test is a right-tailed test, so the P-value for this test is calculated as:

$\text{P-value}=P(z>0.833)=0.202$

As the P-value (0.202) is greater than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

At a significance level of 0.05, there is not enough evidence to support the claim that the proportion of coupons use is significantly higher than 10%.

6 0

3 years ago

$6000 invested at an APR a 4.4% for 20 years what is the balance in the account after 20 years

butalik [34]

Answer:

The balance in the account after 20 years will be $11280.

Step-by-step explanation:

This is a simple interest problem.

The simple interest formula is given by:

$E = P*I*t$

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

$T = E + P$ .

In this problem

We want to find T, when $P = 6000, I = 0.044, t = 20$

The first step is find the earnings due to interest. So

$E = P*I*t = 6000*0.044*20 = 5280$

Adding to the principal to find the balance

$T = E + P = 5280 + 6000 = 11280$

The balance in the account after 20 years will be $11280.

6 0

3 years ago

Sara cuts a pie into halves.How many pieces are there?

kifflom [539]

Answer:

2 Pieces

Mostly depends how much slices are there

Step-by-step explanation:

Every element is called half the whole by all equal sections. Similarly, the half fraction is defined as the whole half component of both of the two equivalent sections of the rectangle.

Hope this helps

3 0

3 years ago

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