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bekas [8.4K]
2 years ago
5

n=400 people under the age of 25 was asked whether they check social media sites right after they wake up. 42% check social medi

a sites in the morning and 58% said that they don’t. Using a 5% significance level, test to see if there is evidence that less than 50% of people under the age of 25 check social media sites right after they wake up.
Mathematics
1 answer:
Aliun [14]2 years ago
7 0

Answer:

Step-by-step explanation:

We would set up the hypothesis test.

For the null hypothesis,

p = 0.5

For the alternative hypothesis,

p < 0.5

Considering the population proportion, probability of success, p = 0.5

q = probability of failure = 1 - p

q = 1 - 0.5 = 0.5

Considering the sample,

P = 42/100 = 0.42

We would determine the test statistic which is the z score

z = (P - p)/√pq/n

n = 400

z = (0.42 - 0.5)/√(0.5 × 0.5)/400 = - 3.2

Recall, population proportion, p = 0.5

We want the area to the left of 0.5 since the alternative hypothesis is lesser than 0.5. Therefore, from the normal distribution table, the probability of getting a proportion < 0.5 is 0.00069

So p value = 0.00069

Since alpha, 0.05 > than the p value, 0.00069, then we would reject the null hypothesis.

Therefore, there is significant evidence to conclude that that less than 50% of people under the age of 25 check social media sites right after they wake up.

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Which statement correctly names the congruent triangles and justifies the reason for congruence?
Marat540 [252]

Answer:

  C. Triangle BAC is congruent to triangle FDE by AAS

Step-by-step explanation:

BAC names the vertices in the order longest-side, shortest-side. That same order is FDE in the other triangle, eliminating choiced B and D. The triangles are not right triangles, eliminating choice A.

The only viable answer choice is C.

No specific sides are shown as being congruent, but two angles are, so we could claim congruence by ASA or AAS. Answer choice C uses the latter.

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2 years ago
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Identify the graphed linear equation.
Veseljchak [2.6K]

Answer:

Where is the graph.

Step-by-step explanation:

Where is the graph.

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3 years ago
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Phineas puts $800 into a certificate of deposit that earns 3.39%. If the money is compounded monthly, how much will it be worth
arlik [135]

It will be worth $885.51 in 3 years

Step-by-step explanation:

The formula for compound interest, including principal sum is:

A=P(1+\frac{r}{n})^{nt} , where:

  • A is the future value of the investment/loan, including interest
  • P is the principal investment amount  
  • r is the annual interest rate (decimal)
  • n is the number of times that interest is compounded per unit t
  • t is the time the money is invested or borrowed for

∵ Phineas puts $800 into a certificate of deposit

∴ P = 800

∵  The rate of deposit is 3.39%

∴ r = 3.39% = 3.39 ÷ 100 = 0.0339

∵ The money is compounded monthly

∴ n = 12

∵ t = 3

- Substitute these values in the formula above

∴ A=800(1+\frac{0.0339}{12})^{12(3)}

∴ A=800(1.002825)^{36}

∴ A = 885.51407

- Round it to the nearest cent ⇒ hundredths place

∴ A = 885.51

It will be worth $885.51 in 3 years

Learn more:

You can learn more about the interest in brainly.com/question/3614284

#LearnwithBrainly

8 0
3 years ago
10. In right triangle FGH shown below,
Vikki [24]

Applying the leg rule, and solving algebraically, the lengths are determined as:

JG = 9

HJ = 12

<h3>What is the Leg Rule?</h3>

The Leg rule states that when an altitude bisects the right angle of a right triangle and intersects the hypotenuse, then, hypotenuse/leg = leg/part.

Find length of JG using algebraic solutions and the leg rule:

Let JG = x

Hypotenuse = x + 16

Leg = 15

Part = x

Therefore:

(x + 16)/15 = 15/x (leg rule)

Cross multiply

x(x + 16) = (15)(15)

x² + 16x = 225

x² + 16x - 225 = 0

Factorize

(x + 25)(x − 9) = 0

x = -25 or x = 9

The length of JG (x) cannot be negative, therefore, the length of JG = 9.

Find length of JG using algebraic solutions:

Let HJ = y

Based on the altitude theorem, we would have:

y = √(16 × JG)

Substitute

y = √(16 × 9)

y = √(144)
y = 12

Therefore, the length of HJ is: 12.

Learn more about the leg rule on:

brainly.com/question/25016594

5 0
2 years ago
At this rate, how many cans make 5 pounds of aluminum?
mamaluj [8]

Answer: With approximately a half-ounce of aluminum per can, or 32 cans per pound, that makes each one worth about 1.7 cents.

Step-by-step explanation: What is 5 pounds of aluminum cans worth?

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