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zalisa [80]
3 years ago
8

The point J(4,-1) is reflected over the x-axis. What are the coordinates of the resulting Point J'?

Mathematics
1 answer:
Flauer [41]3 years ago
4 0
To reflect a point over the x-axis, you simply negate the y-value of the point. Thus, your new point would be (4,--1), which after you take out the double negative that cancels, you'd have (4,1).
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A point is on a circle of the distance from the center of the circle to the point is equal to the
maks197457 [2]
<h3>Answer: Radius</h3>

Let point A be the center of the circle. Point B is somewhere on the circle edge. The distance from A to B is equal to the radius. The radius is half the diameter which spans the whole circle and it goes through the center. The circumference is the curved distance around the whole circle's perimeter.

5 0
3 years ago
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Determine the discriminant for the quadratic equation 0=-2x2+3. Based on the discriminant value, how many real number solutions
nekit [7.7K]

Answer:

Option D.

The discriminat is equal to 24 which

Step-by-step explanation:

The quadratic equation is

-2x² + 3 = 0

Discriminat in quadratic equation tells us the number of solution a quadratic equation has.

For example, the quadratic equation

Ax² + bx + c = 0 will have a discriminat of b² - 4ac.

b² - 4ac is equal to the value of the discriminat and equal to the number of solutions the quadratic equation has.

In our question, we have -2x² + 3 = 0

A = -2

B = 0

C = 3

b² - 4ac = 0

Substitute the values into the above equation.

0² - 4(-2 ×3) = 0

0 + -4 × -6 = 0

24 = 0

The discriminat of the equation is 24

4 0
3 years ago
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If Christopher consumed 600 calories by drinking x number of sodas, which expression represents the number of calories in each s
stiv31 [10]
<span>Number of calories in each soda</span>:
\dfrac{600}{x}
3 0
2 years ago
Read 2 more answers
Please help me -3x-3x=-24
Serga [27]
<span>-3x - 3x = -24

Combine like terms:
- 6x = -24

Divide both side by -6:
x = 4

Answer: x = 4

</span>
8 0
3 years ago
Suppose a subdivision on the southwest side of Denver, Colorado, contains 1,400 houses. The subdivision was built in 1983. A sam
dangina [55]

Answer:

3.22% probability that the sample average is greater than $228,500

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 normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes 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.

In this problem, we have that:

\mu = 227000, \sigma = 8500, n = 110, s = \frac{8500}{\sqrt{110}} = 810.44

What is the probability that the sample average is greater than $228,500?

This is 1 subtracted by the pvalue of Z when X = 228500. So

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

By the Central Limit Theorem

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

Z = \frac{228500 - 227000}{810.44}

Z = 1.85

Z = 1.85 has a pvalue of 0.9678

1 - 0.9678 = 0.0322

3.22% probability that the sample average is greater than $228,500

7 0
3 years ago
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