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In-s [12.5K]
3 years ago
13

A cyclist travels 64 km during the first 4 hours. Then the cyclist travels 26 km during the two hours. What is the

Mathematics
1 answer:
nordsb [41]3 years ago
8 0

Answer:

The average speed of the cyclist would be 14.5 km/hour.

Step-by-step explanation:

64/4=16

26\2=13

16+13=29

29/2=14.5

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64,000 oz = ? Please help
Mnenie [13.5K]
64000 ounces is equal to 500 liquid gallons
6 0
3 years ago
Read 2 more answers
Factor: 100x^2- 81
Alex17521 [72]

Answer:

Choice 'D' (10x + 9) (10x-9) is the correct answer

Step-by-step explanation:

100x^2 - 81

This is a difference of squares...

therefore = (10x + 9) (10x - 9)

7 0
2 years ago
HELP HELP HELP I WILL GIVE BRAINLIEST YALL BETTER NOT GIVE ME A NOT SMART ANSWERS IF YOU DO ILL REPORT THE QUESTION :/
monitta

Answer:

C

Step-by-step explanation:

Multiply ben (y) by 4 since dave has 4x more and add % since jeff has 5 more than Daves total

Hope this helps ^_^

5 0
2 years ago
A newspaper published an article about a study in which researchers subjected laboratory gloves to stress. Among 225 vinyl? glov
romanna [79]

Answer:

a)

H₀: ρ₁ ≤ ρ₂

H₁: ρ₁ > ρ₂

b)

Z= \frac{('p_{1} - 'p_{2}) - (p_{1} - p_{2})}{\sqrt{'p(1-'p)[\frac{1}{n_1} + \frac{1}{n_2} ]} } ≈ N(0;1)

c)

p-value < .00001

d)

Reject the null hypothesis.

The population proportion vinyl gloves that leak viruses is greater than the population proportion of latex gloves that leak viruses.

Step-by-step explanation:

Hello!

The objective is to test if the population proportion of vinyl gloves that leak viruses (population 1) is greater then the population proportion of latex gloves that leak viruses (population 2).

Sample 1 (Vinyl)

n₁= 225

Sample proportion 'ρ₁= 0.60

Sample 2 (Latex)

n₂= 225

Sample proportion 'ρ₂= 0.09

Pooled proportion: 'ρ= (x₁+x₂)/(n₁+n₂)= ( 'ρ₁ + 'ρ₂)/2= (0.60 + 0.09)/2= 0.345 ≅0.35

The hypothesis is:

H₀: ρ₁ ≤ ρ₂

H₁: ρ₁ > ρ₂

α: 0.05

The statistic to use is a pooled Z

Z= \frac{('p_{1} - 'p_{2}) - (p_{1} - p_{2})}{\sqrt{'p(1-'p)[\frac{1}{n_1} + \frac{1}{n_2} ]} } ≈ N(0;1)

The critical region is one-tailed to the right (positive), the critical value is:

Z_{1-\alpha } = Z_{0.95} = 1.64

If Z ≥ 1.64, you will reject the null hypothesis.

If Z < 1.64, you will not reject the null hypothesis.

Z= \frac{(0.6 - 0.09) - (0}{\sqrt{0.35(1-0.35)[\frac{1}{225} + \frac{1}{225} ]} } = 11.34

Since the calculated Z- value is greater than the critical value, the decision is to reject the null hypothesis. The population proportion vinyl gloves that leak viruses is greater than the population proportion of latex gloves that leak viruses.

P-value approach:

p-value < .00001

If you compare with the level of signification, you reach the same decision.

I hope it helps!

8 0
3 years ago
Michael started a savings account with $100. After 6 weeks, he had $140, and after 12 weeks, he had $260. What is the rate of ch
ale4655 [162]

Answer:

Rate of change of money in Michael's account will be $20 per week.

Step-by-step explanation:

If we draw a graph for the duration of investment on x-axis and amount in the account on y-axis, ordered pairs for both the conditions will be,

After 6 weeks, amount in the account = $140

Ordered pair : (6, 140)

After 12 weeks, amount in the account = $260

Ordered pair : (12, 260)

Rate of change in hi account per week = \frac{\triangle y}{\triangle x}

                                                                 = \frac{260-140}{12-6}

                                                                 = \frac{120}{6}

                                                                 = $20 per week

Therefore, rate of change of money in Michael's account will be $20 per week.

5 0
3 years ago
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