If the measure of angle 5 equals 102 degrees, then the measure of angle 8 equals what?

A faucet is leaking water at a rate of 2.5 cups per hour. How many cups of water will leak in 8 hours? A. 3.2

VikaD [51]

Answer:

20

Step-by-step explanation:

In 8 hours, it will leak 2.5 * 8 = 20 cups of water.

3 0

2 years ago

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Which statements correctly describe the cosine and sine functions? Check all that apply. The cosine function increases on (90°,

Jet001 [13]

Answer:

The three correct answers are B "The sine function increases on (0°, 90°) and (270°, 360°)." , E "Both the cosine and sine functions have a maximum value of 1.", and F "Both the cosine and sine functions are periodic."

Step-by-step explanation:

Hope this helps <3

4 0

2 years ago

A calculator has 50 keys in five colors:gray,black,blue,yellow,and green.There are 6 gray keys for every 7 blue keys.write the p

Akimi4 [234]

A ratio is written in the form a : b. In this case, there are 6 gray keys for every 7 blue keys. So the ratio for gray to blue keys would be 6:7.
Since 6 and 7 don't have common factors, the ratio 6:7 cannot be simplified further.
So the ratio for gray to blue keys is 6:7.

7 0

2 years ago

Weight of a rock: In a geology course, students are learning to use a balance scale to accurately weigh rocks. One student plans

statuscvo [17]

Answer:

The student who weighted the rock 5 times has a 95% confidence interval of (25.2, 29.1) which is guaranteed to be more wider (less precise) than the other student who weighted the rock 20 times.

Step-by-step explanation:

What is Confidence Interval?

The confidence interval represents an interval that we can guarantee that the target variable will be within this interval for a given confidence level.

The confidence interval is given by

$CI = \bar{x} + t_{\alpha/2}(\frac{\sigma}{\sqrt{n} } ) \\$

Where $\bar{x}$ is the mean weight $\sigma$ is the standard deviation $t_{\alpha/2}$ is the critical value from t-table and n is the sample size.

The term $t_{\alpha/2}(\frac{\sigma}{\sqrt{n} } )$ is known as margin of error.

As the sample size is decreased the corresponding margin of error increases which results in wider confidence interval which means smaller precision.

The student who weighted the rock 5 times has a 95% confidence interval of (25.2, 29.1) which is guaranteed to be more wider (less precise) than the other student who weighted the rock 20 times.

We can say with 95% confidence that the true mean weight of the rock is within the interval of (25.2, 29.1).

7 0

2 years ago

A rectangular prism has a length of 4.2 cm, a width of 5.8 cm, and a height of 9.6 cm. A similar prism has a length of 14.7 cm,

grigory [225]

Answer: 3.5

Step-by-step explanation:

Given: Dimensions of larger prism = length of 4.2 cm, a width of 5.8 cm, and a height of 9.6 cm.

Dimensions of smaller prism = length of 14.7 cm, a width of 20.3 cm, and a height of 33.6 cm.

Scale factor = $\dfrac{\text{Size of image}}{\text{Size of original figure}}$

Since, smaller figure is the original figure and the bigger one is the image.

So, scale factor = $\dfrac{14.7}{4.2}=3.5$ [Taking lengths

Hence, the factor to produce the corresponding dimensions of the larger prism = 3.5

5 0

2 years ago

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