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3 years ago

What is the solution to the system of equations ? Y=4x-10 Y=2

Mathematics

2 answers:

Iteru [2.4K]3 years ago

8 0

Answer:

x = 3

Step-by-step explanation:

If Y = 2, lets plug it in.

2 = 4x - 10

reverse operations,

4x = 12

x = 3

D is the answer.

V125BC [204]3 years ago

3 0

Answer:

d (3, 2).

Step-by-step explanation:

Y=4x-10

Y=2

PLug y = 2 into the first equation:

2 = 4x - 10

12 = 4x

x = 3.

The solution (x, y) = (3, 2).

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3 years ago

What’s the answer?? I need asap!

Softa [21]

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Step-by-step explanation:

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2 years ago

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Please Help! The following is an isosceles trapezoid, find m < J

ra1l [238]

Answer:

The measure of angle J is 44°

Step-by-step explanation:

Isosceles Trapezoid

The isosceles trapezoid has its non-parallel sides of the same length, thus the angles they form with their respective parallel sides are congruent.

It means: Angle J is congruent with angle K and angle M is congruent with angle L

The sum of angles in a trapezoid is 180*(4-2)=360°

Thus:

$m\angle J+m\angle K+m \angle M+m\angle L = 360^\circ$

$7x+2+7x+2+25x-14+25x-14=360$

Joining like terms:

$64x-24=360$

Adding 24:

$64x=384$

Dividing by 64:

x=6°

Thus:

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The measure of angle J is 44°

3 0

3 years ago

4, 6, 2, 8, 4, 4, 2, 10 Mean: Median: Mode:

Troyanec [42]

Answer:

Mean: 5

Median: 4

Mode: 4

Step-by-step explanation:

Mean:

1. To find the mean given a data set, you have to add up all the data points and then divide them by the number of data points there is.

$\frac{4+6+2+8+4+4+2+10}{8}$
$\frac{40}{8}$
$5$

Therefore, the mean is 5.

Median:

1. To find the median given a data set, we first have to arrange the data points in order.

$2, 2, 4, 4, 4, 6, 8, 10$

2. Next, we have to find which data point is in the middle. In this case, the middle number is 4.

Therefore, the median is 4.

Mode:

1. To find the mode given a data set, you just have to find which data point is the most frequent.

1 data point of 2
3 data points of 4
1 data point of 6
1 data point of 8

1 data point of 10

Because the most frequent value is 4, the mode is 4.

6 0

3 years ago

Read 2 more answers

5. X is a normally distributed random variable with a mean of 8 and a standard deviation of 4. This can be written as N(8,4). Th

xz_007 [3.2K]

Answer:

The probability that X is between 1.48 and 15.56 is $P(1.48 \leq X \leq 15.56) = 0.919$

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 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.

X is a normally distributed random variable with a mean of 8 and a standard deviation of 4.

This means that $\mu = 8, \sigma = 4$