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daser333 [38]
3 years ago
8

Carrie can fold 20 shirts in two and a half minutes. If she continues at this rate, how long will it take her to fold 50 shirts?

Mathematics
1 answer:
Ymorist [56]3 years ago
4 0

Answer:

6.25 minutes

Step-by-step explanation:

First, let's simplify it down. We want to find out how many shirts she can fold in 1 minute, then multiply that by 50.

20 shirts in 2.5 minutes

20 shirts = 2.5 minutes

An equals sign is like a see-saw. If you do something to one side, you have to do it to the other side. To get 20 shirts to 1 one shirt, divide by 20. You have to do that to the other side to make it equal.

(20 divided by 20) = (2.5 divided by 20)

1 shirt = 0.125 minutes.

That's how long it takes to fold 1 shirt. To find the time for 50 shirts, multiply that by 50.

0.125 x 50 = 6.25

It will take Carrie 6.25 minutes to fold 50 shirts. Hope this helped =)

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To test the belief that sons are taller than their​ fathers, a student randomly selects 13 fathers who have adult male children.
KATRIN_1 [288]

Answer:

1) B. The differences are normally distributed or the sample size is large

C. The  sample size mus be large

E. The sampling method results in an independent sample

2) The null hypothesis H₀:  \bar x_1 =  \bar x_2

The alternative hypothesis Hₐ: \bar x_1 <  \bar x_2

Test statistic, t = -0.00693

p- value = 0.498

Do not reject Upper H₀ because, the P-value is greater than the level of significance. There is sufficient evidence to conclude that sons are the same height as their fathers  at 0.10 level of significance

Step-by-step explanation:

1) B. The differences are normally distributed or the sample size is large

C. The  sample size mus be large

E. The sampling method results in an independent sample

2) The null hypothesis H₀:  \bar x_1 =  \bar x_2

The alternative hypothesis Hₐ: \bar x_1 <  \bar x_2

The test statistic for t test is;

t=\dfrac{(\bar{x}_1-\bar{x}_2)}{\sqrt{\dfrac{s_{1}^{2} }{n_{1}}-\dfrac{s _{2}^{2}}{n_{2}}}}

The mean

Height of Father, h₁,  Height of Son h₂

72.4,      77.5

70.6,      74.1

73.1,       75.6

69.9,      71.7

69.4,      70.5

69.4,      69.9

68.1,       68.2

68.9,      68.2

70.5,       69.3

69.4,       67.7

69.5,       67

67.2,       63.7

70.4,       65.5

\bar x_1  = 69.6      

s₁ = 1.58

\bar x_2 = 69.9

s₂ = 3.97

n₁ = 13

n₂ = 13

t=\dfrac{(69.908-69.915)}{\sqrt{\dfrac{3.97^{2}}{13}-\dfrac{1.58^{2} }{13}}}

(We reversed the values in the square root of the denominator therefore, the sign reversal)

t = -0.00693

p- value = 0.498 by graphing calculator function

P-value > α Therefore, we do not reject the null hypothesis

Do not reject Upper H₀ because, the P-value is greater than the level of significance. There is sufficient evidence to conclude that sons are the same height as their fathers  at 0.10 lvel of significance

8 0
4 years ago
6.1.8 The following set of scores was obtained from a quiz: 4, 5, 8, 9, 11, 13, 15, 18, 18, 18, 20. The teacher computes the usu
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Answer:

B. Median

D. IQ R

Step-by-step explanation:

from the given data :

mean = 12.6364 , median =13,

st. dev = 5.6262

Q3 = 18 , Q1 = 8

IQ R = Q3 - Q1 = 18-8 = 10

One of the 18s should be 16 then,

mean = 12.4545, median = 13,

st. dev = 5.4656

Q3 = 18 , Q1 = 8

IQ R = Q3 - Q1 = 18-8 = 10

So, median and IQ R will not need to be changed

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dybincka [34]
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