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4 years ago

11

A student earns a 98 on a test for answering one question incorrectly and earns a 90 for answering five questions incorrectly. I

s the slope of the line that models the linear relationship a positive negative zero or undefined slope?

2 answers:

Aleksandr [31]4 years ago

7 0

This can be solved by solving the slope of the line. First let y be the rating of the test and x be the number of incorrect answers. Slope can be solved using the formula:

M = ( y2 – y1 ) / ( x2 – x1)

M = ( 90 – 98) / ( 5 -1 )

M = -2

<span>So the model has a negative slope</span>

Greeley [361]4 years ago

7 0

Answer:

Negative Slope

Step-by-step explanation:

The slope is the ratio of Change in height to the change in horizontal distance. It can also be define as tangent of angle made by that line and it is find by formula, $slope (m)= \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

The slope is said to be a positive slope when a line is moving from left to right, the line rises.

The slope is said to be a negative slope when a line is moving from left to right, the line falls.

Here, Let the student earns be y marks in test

and let incorrect question be x

then y₁ = 98 , y₂ = 90 and x₁ = 1 , x₂ = 5

then $slope (m)= \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

$slope (m)= \frac{90 - 98}{5 - 1}$

⇒ m = -2

Hence, it has negative slope.

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4 years ago

A 31-inch piece of steel is cut into three pieces so that the second piece is twice as long as the first piece, and the third

Nostrana [21]

Answer:

The length of the first piece is 4 inches, that of the second is 8 inches and the third 19 inches.

Step-by-step explanation:

Total length of the steel = 31 inches

Let the length of the first piece = x

let the length of the second piece = y

Let the length of the third piece = z

So,

y = 2x

z = 4x + 3

x + 2x + 4x +3 = total length of the steel = 31

7x + 3 + 31

7x = 31 - 3

7x = 28

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3 years ago

Read 2 more answers

The number of bones in a weightlifter's foot is 26 how many bones are there in the feet of 26 weightlifters

blsea [12.9K]

Answer:

1352 bones

Step-by-step explanation:

There are 26 bones in 1 foot

There are 2 feet per weightlifter

So each person has 2*26 = 52 bones in their feet

If we have 26 weightlifters, they have 52 bones in their feet.

26*52 = 1352 bones for 26 weightlifters for both feet

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4 years ago

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Public health officials claim that people living in low income neighborhoods have different Physical Activity Levels (PAL) than

Naddika [18.5K]

Answer:

The z-score for this data is Z = -0.26.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

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.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

This is based on knowledge that in the U.S., the mean PAL is 1.65 and the standard deviation is 0.55.

This means that $\mu = 1.65, \sigma = 0.55$

A study took a random sample of 51 people who lived in low income neighborhoods and found their mean PAL to be 1.63.

This means that $n = 51, X = 1.63$

Using a one-sample z test, what is the z-score for this data

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

By the Central Limit Theorem

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

$Z = \frac{1.63 - 1.65}{\frac{0.55}{\sqrt{51}}}$

$Z = -0.26$

The z-score for this data is Z = -0.26.

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3 years ago

Which statement BEST explains the relationship between lines GF & HJ?

Pavel [41]

Answer:

Option (4)

Step-by-step explanation:

Slope a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

m = $\frac{y_2-y_1}{x_2-x_1}$

Since, blue line is passing through two points (-4, -2) and (0, 4),

Slope of the blue line = $\frac{4+2}{0+4}$

= $\frac{3}{2}$

Similarly, green line is passing through two points (-4, 1) and (0, -2),

Slope of the green line = $\frac{1+2}{-4-0}$

= $-\frac{3}{4}$

Since, $\frac{3}{2}\neq -\frac{3}{4}$

Neither these slopes are opposite reciprocals.

Therefore, both the lines are neither parallel nor perpendicular.

Option (4) will be the correct option.

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3 years ago