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tangare [24]
3 years ago
6

Which of the following sets shows all the numbers from the set {1,2,3,4} that are part of the solution to the inequality 7x + 6

> 20?
O{1,2,3)
O {2,3,4}
O {3,4}
O (4)

Mathematics
1 answer:
Leya [2.2K]3 years ago
5 0

Answer:

\boxed{\large \{3, 4\}}

Step-by-step explanation:

1. Solve the inequality

\begin{array}{rcll}7x + 6 & > & 20 & \\7x & > & 14 & \text{Subtracted 6 from each side}\\x & > & 2 & \text{Divided each side by 7}\\\end{array}

2. Write the solution set

\text{The solution set from $\{1, 2, 3, 4\}$ that satisfies the inequality is } \boxed{\large \mathbf{\{3, 4\}}}

Note that {2} is not a member of the solution set because

7(2) + 6 ≯ 20

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Answer:

112

Step-by-step explanation:

4x28=112

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You earn $10.00 per hour babysitting. Your total earnings depend on the number of hours you spend babysitting.
GrogVix [38]
What's the question? what are you asking?
4 0
3 years ago
2. To estimate the mean age for a population of 4000 employees, a simple random sample of 40 employees is selected. a. Would you
ANEK [815]

Answer:

Step-by-step explanation:

a.

Size of the population, N = 4000

Size of the sample, n = 40

n/N = 40/4000 = 0.01

0.01 is less than 0.05 and hence we would not us the finite population correction factor in calculating the standard error of the mean.

b.

Population standard deviation is σ = 8.2

<u>So, the standard error of x’ using the finite population correction factor is give by</u>

σ(x’) = √[(N - n)/(N - 1)] x (sigma/√n)

σ(x’) = √[(4000 - 40)/(4000 - 1)] x (8.2/√40)

σ(x’) = 1.29

<u>Standard error of x’ without using the finite population correction factor is</u>

σ(x’) = σ/√n

σ(x’) = 8.2/√40 = 1.2965

<u>There is little difference between the two values of the standard error. So we can ignore the population correction factor.</u>

c.

Let the population mean be μ

Probability that the sample mean will be within =-2 of the population mean is

P(μ– 2 < x’ < μ + 2)

At x’ = μ – 2 , we have

z = (μ – 2 – μ)/1.2965

z = -1.54

at x’ = μ  + 2, we have

z = (μ + 2 – μ)/1.2965

z = 1.54

<u>So the required probability is </u>

P(μ – 2 < x’ < μ + 2) = p(-1.54< z < 1.54)

P(μ – 2 < x’ < μ + 2) = p(z < 1.54) – p(z < -1.54)

P(μ – 2 < x’ < μ + 2) = 0.9382 – 0.0618

P(μ – 2 < x’ < μ + 2) = 0.8764

7 0
3 years ago
The triangular pyramid shown is made up of four congruent triangles. The length of the base is 8 inches, and the height of the b
Aneli [31]

Answer:

(B) Talia is correct. The lateral area can be found by approximating one large triangle, which can be found using the expression 4 (one-half (8) (6.9))

Step-by-step explanation:

Base of the Pyramid = 8 Inches

Height of the Triangular Face = 6.9 Inches

In any solid shape, the Lateral surface area is the sum of all sides except its top and bottom bases.

Since the four triangles are congruent:

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Therefore:

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Therefore, Talia is correct.

8 0
3 years ago
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Sladkaya [172]

Answer:

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Step-by-step explanation:

96 =16 *6

Break these down, since neither 16 nor 6 are prime

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   = 2*2  * 2*2   * 2*3

All of these are prime

7 0
3 years ago
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