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3 years ago

what is the slope and equation of a line that is perpendicular to the y-axis passing through (-5,-3)?

Mathematics

1 answer:

Illusion [34]3 years ago

3 0

Answer:

Slope is m=0

$y=-3$

Step-by-step explanation:

The slope of any line that is perpendicular to the y-axis is zero.

The reason is that any line that is perpendicular to the y-axis is also parallel to the x-axis and the slope of the x-axis is zero.

The equation of any line perpendicular to the y-axis is and passes through (a,b) is y=b.

The given point is (-5,-3) hence the required equation is

$y=-3$

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The weight of laboratory grasshoppers follows a Normal distribution, with a mean of 90 grams and a standard deviation of 2 grams

JulsSmile [24]

Answer:

95.44% of the grasshoppers weigh between 86 grams and 94 grams.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 90 grams and a standard deviation of 2 grams.

This means that $\mu = 90, \sigma = 2$

What percentage of the grasshoppers weigh between 86 grams and 94 grams?

The proportion is the p-value of Z when X = 94 subtracted by the p-value of Z when X = 86. So

X = 94

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{94 - 90}{2}$

$Z = 2$

$Z = 2$ has a p-value of 0.9772.

X = 86

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{86 - 90}{2}$

$Z = -2$

$Z = -2$ has a p-value of 0.0228.

0.9772 - 0.0228 = 0.9544

0.9544*100% = 95.44%

95.44% of the grasshoppers weigh between 86 grams and 94 grams.

5 0

3 years ago

1. Mark Ford deposits $11,800 into Role Bank, which pays 8% interest that

borishaifa [10]

Answer:

The amount after 4 years = $ 16198.87

Step-by-step explanation:

Points to remember

Compound interest

A = P[1 + R/n]^nt

Were A - Amount

P - Principle

R - Rate of interest

t - Number of years

n - Number of times compounded

<u>To find the amount</u>

Here P = $11,800, R = 8% = 0.08, t = 4 years and n = 4 times

A = P[1 + R/n]^nt

= 11800[1 + 0.08/4]^(4 * 4)

= 16198.87

Therefore amount after 4 years = $ 16198.87

5 0

3 years ago

A retail store is open for 8 hours each day. During a 5-day period, the store had 960 shoppers. Assume that the store had the sa

almond37 [142]

The number of shoppers per day would be 192 and the number of shoppers per hour would be 24. hope this helps

7 0

3 years ago

Read 2 more answers

What is the volume of a rectangular airway that is 15.0 feet high, 19.0 feet wide, and 169.0 feet long?

Roman55 [17]

V=lxwxh. 15x19x169= 48,165, which doesn't seem to be an answer

8 0

3 years ago

Given the function f(x)=1/2x+8 find x so that, f(x)=10<br><br> please help im stumped

Crank

Step-by-step explanation:

plug y value :

10=1/2x+8

1/2x=2

x=4

3 0

2 years ago

what is the slope and equation of a line that is perpendicular to the y-axis passing through (-5,-3)?​

what is the slope and equation of a line that is perpendicular to the y-axis passing through (-5,-3)?