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3 years ago

Evaluate the expression when x = 4.

Mathematics

1 answer:

gulaghasi [49]3 years ago

4 0

We have 3*4+2, or 14, by substituting in for x.

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Each year, all final year students take a mathematics exam. It is hypothesized that the population mean score for this test is 8

drek231 [11]

Answer:

95% Confidence interval: (96.06,103.94)

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 85

Sample mean, $\bar{x}$ = 100

Sample size, n = 30

Alpha, α = 0.05

Population standard deviation, σ = 11

95% Confidence interval:

$\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.05} = 1.96$

$100 \pm 1.96(\frac{11}{\sqrt{30}} ) = 100 \pm 3.94= (96.06,103.94)$

(96.06,103.94) is the 95% confidence interval for the population mean test score.

8 0

3 years ago

Seven more than the quotient of a number and 4 is 9

erica [24]

you divide 8/4 and get 2. 2 plus 7 is 9

4 0

3 years ago

Which of the following numbers are greater than or equal to 4/7 A. 2/5 B. 0.57 C. 2/3

Bumek [7]

Answer:

Step-by-step explanation:

If you were to divide 4 by 7, you would get a decimal that would be rounded up to that value. 2/3 is roughly .66 and 2/5 is .4.

6 0

3 years ago

A company sells fruit cups in packs of 4. The packs currently weigh 20 oz. The company plans to reduce the weight of each cup by

skad [1K]

Answer:

4 ( 5 - n )

Step-by-step explanation:

The expression:

20 – 4n

Task: Rewrite the expression for the new weight as a product of two factors.

To do this we simply have to find the highest common factor (HCF) between 20 and 4n

20 = 4 * 5

4n = 4 * n

The HCF = 4

Expressing as a product of two factors;

4 ( 5 - n )

6 0

3 years ago

A golf ball is hit with an initial velocity of 64 Ft/s. The function h(t) = -16t^2 + 64t models the height h (in feet) of the go

Arlecino [84]

Answer:

Yes, the ball reaches the height of 64 ft

Step-by-step explanation:

Given function

h(t) = -16t^2 + 64t

The maximum value is at vertex and the x-value of the vertex is:

t = -64/2(-16) = 2

Finding the maximum height the ball can reach:

h(2) = -16(2²) + 64(2) = -64 + 128 = 64

The answer is yes

7 0

3 years ago