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Digiron [165]
3 years ago
13

Translate six less than seven times a number is equal to -20 into an equation

Mathematics
1 answer:
gtnhenbr [62]3 years ago
5 0

Answer:

Step-by-step explanation:

(7x)-6=-20

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Modeling the number of transport bus breakdowns in every month to determine if an additional bus should be purchased. The runnin
skelet666 [1.2K]

Answer:

The probability of exactly 2 breakdowns next month = 0.08422

Step-by-step explanation:

To calculate the probability of exactly 2 breakdowns next month, we use Poisson distribution formula.

P(X = x) = (e^-λ)(λˣ)/x!

Mean = λ = 5 breakdowns per month

x = 2 breakdowns per month

P(X = 2) = (e⁻⁵)(5²)/2!

P(X = 2) = 0.08422

6 0
3 years ago
What is the image of (-4,-2) after a reflection over the y=-x​
vodka [1.7K]

Answer:

(2,4)

Step-by-step explanation:

because the coordinates change places and signs

3 0
3 years ago
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Your manufacturing company sells metal nuts and bolts that come together in a package. The diameter of the bolts coming off the
Reil [10]

Answer:

The z score for bolt of diameter 18.12 mm is 1.20.

Step-by-step explanation:

Let <em>X</em> = diameter of bolts.

It is provided that the random variable <em>X</em> follows a Normal distribution with mean, <em>μ</em> = 18 mm and standard deviation, <em>σ</em> = 0.10 mm.

A <em>z</em>-score is a standardized score, a numerical, that defines how far a data value from the mean.

The distribution of <em>z</em>-scores is defined by the Standard Normal distribution.

Z\sim N(0, 1)

The formula to compute the <em>z</em>-score is:

z=\frac{x-\mu}{\sigma}

The value of the diameter of a bolt is, <em>x</em> = 18.12 mm.

Compute the <em>z</em>-score for this value as follows:

z=\frac{x-\mu}{\sigma}=\frac{18.12-18}{0.10}=\frac{0.12}{0.10}=1.20

Thus, the z score for bolt of diameter 18.12 mm is 1.20.

5 0
3 years ago
Give the equation of the line through the point ( - 10,9) with a slope of -1/5
hichkok12 [17]

Equation of the line in slope-intercept form is y = -1/5 x + 9

Step-by-step explanation:

  • Step 1: Given slope of the line is -1/5 and the point is (-10, 9). Here m=-1/5.

⇒ y = -1/5 x + b  ------ (1)

  • Step 2: Find the y-intercept of the line, b. Since the line passes through (-10, 9) substitute x = -10 and y = 9 in eq(1)

⇒ 9 = -1/5 × -10 + b = 2 + b

⇒ b = 9 - 2 = 7

  • Step 3: Slope intercept form of the line is y = mx + b. Form the equation using the values of m and b.

⇒ y = -1/5 x + 7

It can also be written as 5y + x = 35

7 0
3 years ago
0.5 is what type of number?
zepelin [54]
0.5 is a rational number.
4 0
3 years ago
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