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blagie [28]
3 years ago
10

The tape diagram represents an equation I represent the image

Mathematics
1 answer:
svlad2 [7]3 years ago
6 0

Answer:

5+6 is = to 11

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According to the Centers for Disease Control and Prevention (February 18, 2016), 1 in 3 American adults don’t get enough sleep.
Marizza181 [45]

Answer:

A) Option C: H0: μ ≥ 7; HA: μ < 7

B) test statistic = -1.75

C) Option C: 0.025 ≤ p-value < 0.05

D) Option C: Do not reject H0 since the p-value is greater than α.

E) Option A: There is insufficient evidence to suggest that Americans sleep less than the recommended 7 hours of sleep.

Step-by-step explanation:

We are given;

Population mean; μ = 7

Sample mean; x = 6.7

Standard deviation; s = 2.1

Sample size; n = 150

A) Defining the hypothesis, we have;

Null Hypothesis; H0: μ ≥ 7

Alternative hypothesis; HA: μ < 7

B) Formula for the test statistic is;

z = (x - μ)/(s/√n)

Plugging in the relevant values, we have;

z = (6.7 - 7)/(2.1/√150)

z = -0.3/0.1715

z = -1.75

C) Using online p-value from z-score calculator attached with; z = - 1.75 ; α = 0.01 and one tailed distribution, we have;

The P-Value = 0.040059

Thus,the most appropriate answer is;

Option C: 0.025 ≤ p-value < 0.05

D) P-value is greater than the significance level, thus we fail to reject the null hypothesis.

E) We will conclude that there is insufficient evidence to suggest that Americans sleep less than the recommended 7 hours of sleep.

8 0
3 years ago
You are dealt one card from a standart 52-card deck. Find the probability of being dealt a six.
makkiz [27]

Answer: 1 in 13

Step-by-step explanation:

Yes

5 0
3 years ago
Read 2 more answers
PLEASE HELP ILL GIVE BRAINLIEST The graph of y = f(x) is shown below. What are all of the real solutions of f(x) = 0?
Lapatulllka [165]

Answer:

(-8,0) (-1,0) (4,0)

Step-by-step explanation:

Just look at where y=0

8 0
2 years ago
Read 2 more answers
2. Which equation is equivalent to x+8 = 21?
lakkis [162]

Answer:

The most obvious one i can think of would be

x = 13

Step-by-step explanation:

x + 8 = 21

x + 8-8 = 21-8

x = 13

3 0
3 years ago
Country Motorbikes Incorporated finds that it costs $400 to produce each motorbike, and that fixed costs are $1600 per day. The
faltersainse [42]

Answer:

30units,2900

Step-by-step explanation:

Given that Country Motorbikes Incorporated finds that it costs $400 to produce each motorbike, and that fixed costs are $1600 per day.

The price function is p(x) = 700 − 5x, where p is the price (in dollars) at which exactly x motorbikes will be sold.

If x units are produced and sold we have

Costs for x units = variable costs *x +Fixed costs = 400x+1600

Sales revenue = no of units sold * price = x(700-5x) = 700x-5x^2

Profit funciton = P(x) = Sales revenue - Total cost

= 700x-5x^2-400x-1600\\=300x-5x^2-1600

To get maximum profit we use derivative test I derivative =0 and II derivative =negative

P'(x) = 300-10x\\p"(x) = -10

Producing 30 units will maximize the profit.

Max profit

=P(30) = 2900

8 0
3 years ago
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