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Scorpion4ik [409]
3 years ago
11

Please please help please please ASAP

Mathematics
1 answer:
NeX [460]3 years ago
4 0

Answer:

15.09

Step-by-step explanation:

with reference angle 28°

perpendicular (p) = 8

base (b) = x

Now

tan 28° = p / b

0.53 = 8 / x

x = 8 / 0.53

x = 15.09

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Is the mean weight of female college students still 59.4 kg? To test this, you take a random sample of 20 students, finding a me
adell [148]

Answer:

Correct option: (B)

Step-by-step explanation:

A one-sample <em>t</em>-test can be performed to determine whether the mean weight of female college students is still 59.4 kg.

The hypothesis can be defined as:

<em>H₀</em>: The mean weight of female college students has changed.

<em>Hₐ</em>: The mean weight of female college students has not changed.

The information provided is:

\bar x=61.65\\s=6.39\\n=20\\\alpha =0.10

As the there is no information about the population standard deviation we will use a <em>t</em>-test for the mean.

The test statistic is:

t=\frac{\bar x-\mu}{\s/\sqrt{n}}=\frac{61.65-59.4}{6.39/\sqrt{20}}=1.57

Decision rule:

If the if the <em>p</em>-value of the test is less than the significance level of the test <em>α</em> then the null hypothesis will be rejected and vice versa.

The degrees of freedom of the test is:

df=n-1=20-1=19

The test is two-tailed.

Compute the <em>p</em>-value of the test as follows:

p-value=2\times P(t_{0.10/2, 19}

*Use a <em>t</em>-table for the probability.

The <em>p</em>-value = 0.13 > <em>α</em> = 0.10

The null hypothesis was failed to be rejected.

As the null hypothesis was rejected it can be concluded that there is not sufficient evidence that the mean weight of female students has changed.

6 0
4 years ago
Multiply = x(.67)<br><br> Multiply=x-.33x
sweet [91]

Answer: 0.67x

Answer: -0.33x^2

Step-by-step explanation:

7 0
3 years ago
The perimeter of a triangle is 50 ft. What is the value of x?
ioda
The answer is 20.5

Subtract both 7.5 and 22 from 50

50-7.5 = 42.5

42.5 - 22 = 20.5

Hope this helps :)
8 0
3 years ago
You are given a choice of taking the simple interest on $100,000 invested for 2 years at a rate of 3% or the interest on $100,00
valentinak56 [21]

Answer:

Step-by-step explanation:

the simple interest formula= principal* interest rate*time

simple interest : 100000*%2*2 years

simple interest= 4000 dollars

compound quarterly : A=principal(1+r/4)^t

since it is quarterly and have 4 quarters in a year, and 8 in two years.

compound quarterly: 100000(1+0.03/4)^8=106159.88

it is better to invest with compound interest because it add 6159 dollars in two years to the investment of 100000 dollars.

the difference between the interest: 6159.88-4000=2159.88

5 0
3 years ago
What is the answer for 805 tens = with place value chart
alexandr1967 [171]
In the given problem, the numerical value of 805, which is in the tens place, we can first elaborate and clearly specify the order of numbers by using the expanded form: <span><span>1. </span><span> 800 = eight hundred / hundreds</span></span> <span><span>2. </span><span> 0 = zero / tens</span></span> <span><span>3. </span><span> 5 = five / ones </span></span> Conclusively the tens value of the number is zero or none, since zero is not a real number then it can’t be considered but nevertheless, the value is 0 expressed with respect to the whole numbers.



5 0
3 years ago
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