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6 days ago

Raymond can paint 5/8 of a wall in 16minutes. How long would it take him to paint 1/3 of a wall?

Mathematics

1 answer:

PIT_PIT [3.9K]6 days ago

4 0

Answer:

128/15 minutes or 8.5 minutes

Step-by-step explanation:

Utilizing the unitary method,

The duration to paint 5/8 of the wall is 16 minutes.

Consequently, the time to paint the entire wall is calculated as 16 × 8/5.

Thus, the time required to paint 1/3 of the wall amounts to 16 × 8/5 × 1/3.

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Vannorman Corporation processes sugar beets in batches. A batch of sugar beets costs $78 to buy from farmers and $18 to crush in

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Answer:

The outcomes are listed below.

Step-by-step explanation:

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7 days ago

One of your peers claims that boys do better in math classes than girls. Together you run two independent simple random samples

babunello [3635]

Answer:

Step-by-step explanation:

Hello!

To determine whether boys excel in math classes compared to girls, two random samples were collected:

Sample 1

X₁: score achieved by a boy in calculus

n₁= 15

X[bar]₁= 82.3%

S₁= 5.6%

Sample 2

X₂: score obtained by a girl in calculus

n₂= 12

X[bar]₂= 81.2%

S₂= 6.7%

To estimate a confidence interval for the difference between the average percentages of boys and girls in calculus, it's essential that both variables come from normally distributed populations.

For utilizing a pooled variance t-test, it is also required that the population variances, though unknown, are assumed to be equal.

The confidence interval can then be calculated with:

[(X[bar]_1 - X[bar]₂) ± $t_{n_1+n_2-2;1-\alpha /2}$ * $Sa*\sqrt{\frac{1}{n_1} +\frac{1}{n_2} }$ ]

$Sa= \sqrt{\frac{(n_1-1)S^2_1+(n_2-1)S^2_2}{n_1+n_2-2} } = \sqrt{\frac{14*(5.6^2)+11*(6.7^2)}{15+12-2} }= 6.108= 6.11$

$t_{n_1+n_2-2;1-\alpha /2}= t_{15+12-2;1-0.05}= t_{25;0.95}= 1.708$

[(82.3 - 81.2) ± 1.708 * (6.11 * $\sqrt{\frac{1}{15}+\frac{1}{12} }$ ]

[-2.94; 5.14]

Using a 90% confidence level, the interval [-2.94; 5.14] is expected to encompass the true difference between the average percentages achieved by boys and girls in calculus.

I hope this is of assistance!

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1 day ago

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