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AnnZ [28]
4 years ago
8

ABC is similar to DEF. Find the length of

Mathematics
1 answer:
Helen [10]4 years ago
4 0

Answer:

x=15

Step-by-step explanation:

You need to do proportions.

Since 16/12 = 1.3333333333333333333,

than you need to divide 20 by 1.323333333, so 20/1.3333333333333= 15

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A school authority claims that the average height of students is 178 cm. A researcher has taken a well-designed survey and his s
Hunter-Best [27]

Answer:

d) The difference exists due to chance since the test statistic is small

Step-by-step explanation:

From the given information:

Population mean = 178 cm

the sample mean = 177.5 cm

the standard deviation = 2

the sample size = 25

The null hypothesis and the alternative hypothesis can be computed as:

Null hypothesis:

H_o: \mu = 178

Alternative hypothesis:

H_1: \mu \neq 178

The t-test statistics is determined by using the formula:

t = \dfrac{X - \mu}{\dfrac{\sigma}{\sqrt{n}}}

t = \dfrac{177.5 - 178}{\dfrac{2}{\sqrt{25}}}

t = \dfrac{-0.5}{\dfrac{2}{5}}}

\mathbf{t= -1.25}

Degree of freedom df = n- 1

Degree of freedom df = 25 - 1

Degree of freedom df = 24

At the level of significance ∝ = 0.05, the critical value  = 2.064

Decision rule: To reject the null hypothesis if the test statistics  is greater than the critical value at 0.05 level of significance

Conclusion: We fail to reject the null hypothesis since the test statistics is lesser than the critical value and we conclude that  the difference exists due to chance since the test statistic is small

5 0
3 years ago
SOLVE THIS PROBLEM ASAP
zepelin [54]

Answer:

5

Step-by-step explanation:

Use the exponent rule

Simplifying the top of the fraction

5^2*5*5^3=5^2+1+3=5^6

Simplifying the bottom of the fraction 5^4*5=5^4+1=5^5

Our simplified fraction is 5^6/5^5, which is just 5^6-5 which is 5^1 or 5.

Therefore, the answer is 5.

4 0
2 years ago
Read 2 more answers
HELP PLSSSSSESSSSSSSSSSSS
bekas [8.4K]

Answer:

Step-by-step explanation:

10(3)+2(10)(4)+2(3)(4)=30+80+24

                                =134

8 0
3 years ago
Find the area and perimeter of each composite figure use 3.14 for pi round your answer to the nearest 10th
Ad libitum [116K]

1. Perimeter is 3 + 3 +3 +4 +5 = 18 feet

  Area = 3*3 = 9, 1/2*3*4 = 6, 9 + 6 =15 square feet

2. perimeter = 2.5 +2.5+ 2.5+2.5+0.5+0.5 = 11 meters

   Area = 3*.5 = 1.5, 3*2=6,  6+1.5 = 7.5 square meters

3. perimeter = 3.14*2*3 = 18.84 +8 = 26.8 inches

   Area = 6*4 = 24 + 3.14*3^2 = 28.26 = 28.26 +24 = 52.3 inches

4. surface area = 2*π*6*20+2*π*6^2= 980.2 yards

Volume = π*6^2*20 = 2261.9 cubic yards

5.surface area = 2*(9*7+2*2+2*9) = 190 cm

 Volume = 2*7*9 = 126 cubic cm

6. surface area = <span>2*(11*11+11*11+11*11) = 726 mm</span>

<span>  Volume = 11 *11*11 = 1331 cubic cm</span>


7 0
3 years ago
Can someone please help me with these? I will give you the brainliest answer and also give extra points! I really need help :(​
Ierofanga [76]

Answer:

1. No solution

2. Infinite many solutions

3. One solution

4. No solution

5. No solution

6. One solution

7. No solution

8. One solution

9. Infinite many solutions

10. Infinite many solutions

Step-by-step explanation:

6 0
3 years ago
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