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4 years ago

A pole, 90 cm long, is painted green, white, and black in the ration 3:4:2. What length of the pole is painted black?

Mathematics

1 answer:

ollegr [7]4 years ago

3 0

3u + 4u + 2u = 9u
9u = 90
1u = 90/9 = 10

since black is 2u ( from the ratio given)
2u = 10 x 2 = 20

Answer : 20cm of the pole is painted black.

The bar diagram is in the picture :)

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Melinda has $62.55 in her checking account.she deposits $17.83 on Monday.She spends$14.67 at dinner on Tuesday.What is the new b

Taya2010 [7]

The answer would be $65.71

Explanation:

$62.55 + $17.83 = $80.38 - $14.67 = $65.71

5 0

3 years ago

PLEASEEE ANSWER ILL GIVW POINTS ANS BRAINLIEST PLS THANK YOU NO ONE HAS ANSWERED ANSWER BOTH OR EITHER OF THE QUESTIONS PLSSS

kaheart [24]

doesn't the thing in the box tell you how much for 90 cookies ?

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3 years ago

On Thursday, Mme Q answered emails from her students for 5/6 hour. On Friday, she increased her time answering emails by 7/12 ho

Mama L [17]

Answer:

Mme Q spent more time answering emails from students by 10 minutes

Step-by-step explanation:

Here we have

Time spent by Mme Q in answering mails on Friday given by

5/6 Hour = 50 minutes and

7/12 Hour = 35 minutes

Total time spent on Friday = 85 Minutes or

5/6 + 7/12 = 17/12 Hours

Time spent by Mme F in answering mails on Friday given by

1/2 Hour = 30 minutes and

3/4 Hour = 45 minutes

Total time spent on Friday by Mme F = 75 Minutes or

1/2 + 3/4 = 5/4 Hours

Therefore, Mme Q spent more time answering emails from students by 85 - 75 = 10 minutes.

7 0

4 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:

H₀: ρ₁ ≤ ρ₂

H₁: ρ₁ > ρ₂

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)

p-value < .00001

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

4 years ago

Jessica lost some of her money.She found 3/6 of it.What fraction of her money is still missing?

Cloud [144]

3/6 is the answer because,
3/6+3/6= 6/6 or 1

5 0

3 years ago