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V125BC [204]
3 years ago
7

The following information is obtained from two independent samples selected from two normally distributed populations.

Mathematics
1 answer:
AysviL [449]3 years ago
3 0

A. The point estimate of μ1 − μ2 is calculated using the value of x1 - x2, therefore:

μ1 − μ2 = x1 – x2 = 7.82 – 5.99

μ1 − μ2 = 1.83

 

B. The formula for confidence interval is given as:

Confidence interval = (x1 –x2) ± z σ

where z is a value taken from the standard distribution tables at 99% confidence interval, z = 2.58

and σ is calculated using the formula:

σ = sqrt [(σ1^2 / n1) + (σ2^2 / n2)]

σ = sqrt [(2.35^2 / 18) + (3.17^2 / 15)]

σ = 0.988297

 

Going back to the confidence interval:

Confidence interval = 1.83 ± (2.58) (0.988297)

Confidence interval = 1.83 ± 2.55

Confidence interval = -0.72, 4.38

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What is four sevenths of 35?
AnnZ [28]

The answer is 20. just multiply, 4/7*35=20.
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3 years ago
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Paco orders an ice cream for $1, but realizes his wallet is at home and he only has 3/20 of $1 with him. If his mom pays the rem
Svet_ta [14]

Answer: the answer is c) $0.85


Step-by-step explanation:

if he has 3/20 of a dollar that calculates to $0.15 and $1.00 minus $0.15 equals $0.85

3 0
3 years ago
Which expression is equivalent to 24 Superscript one-third?
Ivahew [28]

Answer:

See explanation

Step-by-step explanation:

The given expression is: (24)^{\frac{1}{3}}

Recall that 24=3*8

\implies(24)^{\frac{1}{3}}=(8*3)^{\frac{1}{3}}

Recall again that:

(a*b)^n=a^n*b^n

\implies (8*3)^{\frac{1}{3}}=(8)^{\frac{1}{3}}*(3)^{\frac{1}{3}}

\implies (8*3)^{\frac{1}{3}}=(2^3)^{\frac{1}{3}}*(3)^{\frac{1}{3}}

\implies (8*3)^{\frac{1}{3}}=2^{3*\frac{1}{3}}*(3)^{\frac{1}{3}}

\implies (8*3)^{\frac{1}{3}}=2*(3)^{\frac{1}{3}}

We rewrite in radical form to obtain

\implies (8*3)^{\frac{1}{3}}=2\sqrt[3]{3}

6 0
3 years ago
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Choose all items where the equation matches the given table
sdas [7]

Answer:

1st, 3rd, 4th

Step-by-step explanation:

1st one: 43 x

multiply x by 43

7 x 43 = 301

7 x 43 = 258

10 x 43 = 430

3 x 43 = 129

4 x 43 = 172

(correct)

2nd one: 12x

multiply x by 12

2 x 12= 32

we know that 2 x 12 is 2 so this equation does not work

(incorrect)

3rd one: 202x

multiply x by 202

6 x 202 = 1212

4 x 202 = 808

10 x 202 = 2020

3 x 202 = 606

8 x 202 = 1616

(correct)

4th one: 13x

multiply x by 3

9 x 13 = 117

2 x 13 = 26

7 x 13 = 91

3 x 13 = 36

10 x 13 = 130

(correct)

3 0
2 years ago
Neil has 3 partially full cans of white paint.They contain 1/3 gallon,1/5 gallon,and 1/2 gallon of paint.About how much paint do
Wittaler [7]

Answer:

  less than 1 1/2 gallons

Step-by-step explanation:

1/3 + 1/6 = 1/2, so the sum of the three cans is more than 1 by the difference between 1/5 and 1/6. That difference is 1/30 gallon. The sum is 1 1/30 gallons, which is less than 1 1/2 gallons.

__

A suitable common denominator is 2·3·5 = 30. Then the sum of the fractions is ...

  1/3 + 1/5 + 1/2

  = 10/30 + 6/30 + 15/30

  = 31/30 = 1 1/30 . . . . . less than 1 1/2

In decimal, 1/3 ≈ 0.333, 1/5 = 0.200, 1/2 = 0.500, so the sum is ...

  0.333 +0.200 +0.500 = 1.033

which is less than 1.5.

4 0
3 years ago
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