1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Romashka [77]
3 years ago
10

Need to be taught how to do this, thanks​

Mathematics
1 answer:
inn [45]3 years ago
6 0

Answer:

x = 36.27

Step-by-step explanation:

By using the steps to find sin θ backwards, we can find x, the hypotenuse.

sin θ = \frac{opposite}{hypotenuse} or side \frac{a}{c} (as seen in my example picture).

We already know the value for sin (α), which is 32° because its given. The opposite side (a) is 20 and the hypotenuse side (c) is x which are both also given.

So the equation now looks like:

sin 32° = \frac{20}{x}

Don't solve for the sin 32 yet! First, we have to isolate the variable.

To get rid of the x in the denominator you have to multiply both sides by x:

( sin 32 ) · x = ( \frac{20}{x} ) · x

( sin 32 ) x = 20

Then, you have to divide both sides by sin 32 to get x by itself:

(( sin 32 ) x ) ÷ ( sin 32 ) = 20 ÷ ( sin 32 )

x = 20 ÷ ( sin 32 )

Lastly, you have to use a calculator to find 20 ÷ ( sin 32 ), and it should give you 36.2695543766.

The question asks you to round to 2 decimal places so:

x = 36.27

You might be interested in
For which situation could flipping a coin be
BartSMP [9]
The answer is A! ———————-
6 0
3 years ago
Two friends, Caleb and Ynez are both selling brownies for a class fundraiser. They decide to advertise how much buying a certain
Afina-wow [57]
The center number of brownies will cost 4.99
6 0
2 years ago
Number 18.
Rashid [163]

f(x) = -5/2x + 4  

f(3) = (-5/2)(3) + 4

f(3) = -15/2 + 4

f(3) = -7.5 + 4

f(3) = -3.5

Answer: B. –3.5

4 0
3 years ago
Hypothesis Testing for Means with Small Samples
Scorpion4ik [409]

Answer:

Step-by-step explanation:

Hello!

The variable of interest is

X: volume of root beer in a Windsor Bottling Company can.

A sample of n=24 cans was taken and their contents measured, resulting:

X[bar]= 11.4 oz

S= 0.62 oz

Assuming that the variable has a normal distribution X~N(μ;σ²), the parameter of interest is the average contents of the root beer cans of the Windsor Bottling Company (μ)

The claim is that the population mean content of the cans is different from 12 oz, symbolically: μ ≠ 12

The statistical hypothesis (Null and alternative) have to be complementary, exhaustive and mutually exclusive. The null hypothesis is the "no change" hypothesis and always carries the "=" sign.

If the claim is μ ≠ 12, its complement is μ = 12, the expression carrying the "=" sign will be the null hypothesis and its complement will be the alternative hypothesis:

H₀: μ = 12

H₁: μ ≠ 12

α: 0.05

To test the population mean of this normal population, you have to apply a one sample t-test, with statistic:

t= \frac{X[bar]-Mu}{\frac{S}{\sqrt{n} } } ~t_{n-1}

t_{H_0}= \frac{11.4-12}{\frac{0.62}{\sqrt{24} } } = -4.74

This test is two-tailed, using the critical value approach, you have to determine two rejection regions. Meaning, you'll reject the null hypothesis to small values of the statistic or to high values of the statistic.

t_{n-1;\alpha /2}= t_{23;0.025}= -2.069

t_{n-1;1-\alpha /2}= t_{23;0.975}= 2.069

The decision rule is:

If t_{H_0} ≤ -2.069 or if t_{H_0} ≥ 2.069, then you reject the null hypothesis.

If -2.069 < t_{H_0} < 2.069, then you do not reject the null hypothesis.

The value is less than the left critical value, the decision is to reject the null hypothesis.

Then you can say that with a 5% significance level, there is significant evidence to reject the null hypothesis, then the average amount of root beer of the Windsor Bottling Company is different from 12 oz, this means that the claim about the amount of root beer in the cans is correct.

I hope it helps!

6 0
3 years ago
Can someone help its math :)
belka [17]

Answer:

m<F = 53

Step-by-step explanation:

Exterior angles thm:

5x - 10 + 3x + 14 = 100

8x + 4 = 100

8x = 104

x = 13

m<F:

3x + 14

3(13) + 14

39 + 14

53

8 0
3 years ago
Other questions:
  • The size, ???? S , of a tumor (in cubic millimeters) is given by ????=2???? S = 2 t , where ???? t is the number of months since
    15·1 answer
  • Please help me :( thank you :( very grateful if you answer :0 pic down below
    6·1 answer
  • In a circle graph, 36% represents what angle?
    7·1 answer
  • HELP PLZ!
    13·1 answer
  • Given:f(x)=x-7 and h(x)=2x+3 write the rule for f(h(x))
    10·1 answer
  • WILL GIVE BRAINLY PLSSS
    6·1 answer
  • The kindergarten section of Lost Valley School has 12 classrooms. If each classroom
    10·1 answer
  • Please answer the question CORRECTLY with a logical explanation. You will get brainliest guaranteed.
    9·1 answer
  • The sum of two numbers is 250 what is the average of the two numbers
    10·1 answer
  • Determine whether the ordered pair is a solution of the equation. Show your work to receive credit.
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!