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Cloud [144]
3 years ago
12

Write the equation of the line parallel to 5x + y = -2 that goes through the point (2, -3).​

Mathematics
1 answer:
gladu [14]3 years ago
8 0

Answer:

y = -5x + 7

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Step 1: Define

5x + y = -2

Random point (2, -3)

Step 2: Rewrite

y = -5x - 2

m = -5

Step 3: Write parallel line

y = -5x + b

-3 = -5(2) + b

-3 = -10 + b

7 = b

y = -5x + 7

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What is the line parallel to 2x + 3y = 12
lesya692 [45]
I hope this is helpful

6 0
3 years ago
Assume that the random variable X is normally distributed, with mean μ = 110 and standard deviation σ = 20. Compute the probabil
kogti [31]

Answer:

P(X > 126) = 0.2119

Step-by-step explanation:

Problems of normally distributed samples 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.

In this problem, we have that:

\mu = 110, \sigma = 20

P(X > 126) is the 1 subtracted by the pvalue of Z when X = 126. So

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

Z = \frac{126 - 110}{20}

[tez]Z = 0.8[/tex]

[tez]Z = 0.8[/tex] has a pvalue of 0.7881.

P(X > 126) = 1 - 0.7881 = 0.2119

5 0
4 years ago
- b = 14.89, C = 77°, c = 17.11
Leto [7]
∠A=36°  ∠B=67°  measures of a=8

in a Δ sum of all angles are 180
∠A+∠B+∠C=180
36+67+∠C=180
∠C=77

Now use law of sines 
a/sinA=b/sinB=c/sinC
8/sin36=b/sin67
now u can find B and C
8 0
3 years ago
If 25% of a number is 45, is the number greater or less than 45? Explain your answer. (Hint: You might want to solve to find wha
Sophie [7]

Answer:

Greater

Step-by-step explanation:

A number must be greater that a small percentage of the number

Greater

---------------------

45% = 0.45

.45 x = 45

Divide both sides by .45

x = 100

5 0
3 years ago
A 5.5-foot woman casts a shadow that is 3 feet longer than her son’s shadow. Her son casts a shadow that is 13.5 feet long. How
Rasek [7]
16.5

Hope i was able to give the right answer
4 0
3 years ago
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