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Alex_Xolod [135]
2 years ago
12

Solve for y 2y= -3x + 4

Mathematics
1 answer:
Margaret [11]2 years ago
5 0

Answer:

y = -1/3x + 2

Step-by-step explanation:

Divide everything by 2

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Write the inequality (without solving)
Lesechka [4]

Answer:

2.15f+4.6n\leq 150

Step-by-step explanation:

She has a budget of $150, which means that she can spend no more than that amount. Therefore, use the less than or equal to symbol: ≤

Each folder is $2.15, so you are going to multiply: 2.15 × f

Each notebook is $4.60, so you will multiply: 4.6 × n

You want to know how many notebooks and folders you can buy for $150, so add the notebooks and folders.

Make the equation:

2.15f+4.6n\leq 150

:Done

6 0
3 years ago
A normal distribution has a standard deviation equal to 39. What is the mean of this normal distribution if the probability of s
Naily [24]

Answer:

The mean is \mu = 131

Step-by-step explanation:

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.

In this problem, we have that:

\sigma = 39

What is the mean of this normal distribution if the probability of scoring above x = 209 is 0.0228?

This means that when X = 209, Z has a pvalue of 1-0.0228 = 0.9772. So when X = 209, Z = 2.

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

2 = \frac{209 - \mu}{39}

209 - \mu = 2*39

\mu = 209 - 78

\mu = 131

The mean is \mu = 131

7 0
2 years ago
Given the equation 4x − 26 = 2x − 4, which order of operations completely solves for x?
scoray [572]
4x - 26 = 2x - 4....subtract 2x from both sides
4x - 2x - 26 = -4...add 26 to both sides
4x - 2x = -4 + 26...combine terms
2x = 22...divide both sides by 2
x = 22/2 = 11

OR
4x - 26 = 2x - 4.....subtract 4x from both sides
-26 = 2x - 4x - 4....add 4 to both sides
-26 + 4 = 2x - 4x...combine terms
-22 = -2x....divide both sides by -2
-22/-2 = x
11 = x
6 0
3 years ago
QS¯¯¯¯¯¯¯ bisects ∠PQR . If m∠PQS = 5x and m∠RQS = 2x + 6, then what is m∠PQR ? m∠PQR is
soldi70 [24.7K]

Answer:

PQR = 20

Step-by-step explanation:

Given

Bisector: QS

PQS = 5x

RQS = 2x + 6

Required

Determine PQR

Since PQR is bisected to PQS and RQS, we have that

PQS = RQS

Substitute expressions for PQS and RQS

5x = 2x + 6

Collect Like Terms

5x - 2x = 6

3x = 6

Divide both sides by 3

x = 2

Solving for PQR;

PQR = PQS + RQS

PQR = 5x + 2x + 6

PQR = 7x + 6

Substitute 2 for x

PQR = 7 * 2 + 6

PQR = 14 + 6

PQR = 20

4 0
3 years ago
Simplify (6+5x)+(7x+3)
emmasim [6.3K]

Answer: 12x + 9

Step-by-step explanation:

<u>Given </u>

(6 + 5x) + (7x + 3)

<u>Put like terms together</u>

=5x + 7x + 6 + 3

<u>Combine like terms </u>

=\boxed {12x+9}

Hope this helps!! :)

Please let me know if you have any questions

8 0
3 years ago
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