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Charra [1.4K]
3 years ago
13

Translate the given phrase into an algebraic expression and simplify if possible: the sum of -8 and -9, increased by 23.

Mathematics
1 answer:
Maru [420]3 years ago
7 0

Step-by-step explanation:

(-8-9)+23

-17+23

6.........

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What is the equation of the line that passes through the point (−4,−3) and has a slope of \frac{3}{4}
yawa3891 [41]

Answer:

y = \frac{3}{4} x

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = \frac{3}{4} , then

y = \frac{3}{4} x +c ← is the partial equation

To find c substitute (- 4, - 3) into the partial equation

- 3 = - 3 + c ⇒ c = - 3 + 3 = 0

y = \frac{3}{4} x ← equation of line

8 0
3 years ago
Assume that the random variable X is normally distributed, with mean 60 and standard deviation 16. Compute the probability P(X &
elixir [45]

Answer:

P(X < 80) = 0.89435.

Step-by-step explanation:

When the distribution is normal, we use 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 question, we have that:

\mu = 60, \sigma = 16

P(X < 80)

This is the pvalue of Z when X = 80. So

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

Z = \frac{80 - 60}{16}

Z = 1.25

Z = 1.25 has a pvalue of 0.89435.

So

P(X < 80) = 0.89435.

5 0
3 years ago
Find the slope of the line that passes through each pair of points
lyudmila [28]

Answer:

-1

Step-by-step explanation:

The slope of the line can be found by

m = (y2-y1)/(x2-x1)

    = (-2-1)/(1--2)

     =-3 /(1+2)

      =-3/3

       -1

3 0
3 years ago
Marvin has a bag that contains 3 red marbles and 9 blue marbles he will randomly select a marble from the bag what is the probab
Anna71 [15]

Answer:

now how

Step-by-step explanation:

because he likes red marbles

i dont know

3 0
3 years ago
If (126)n=86in base 10find the positive value of n
Evgen [1.6K]

Answer:

n= 0.682539 but if you want it in fraction form its 43/63

Step-by-step explanation:

6 0
3 years ago
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