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3 years ago

What is the slope of the line with points (-1, 9) and (-3, -4)?

Mathematics

1 answer:

Dmitriy789 [7]3 years ago

3 0

Answer:

C. $\frac{13}{2}$

Step-by-step explanation:

The formula to calculate slope is m= $\frac{y2-y1}{x2-x1}$

(-1, 9) is x1 and y1, (-3, -3) is x2 and y2 in this formula.

$\frac{-4 - 9}{-3 - -1}$ --- plug in values

$\frac{-13}{-2}$ --- simplify

$\frac{-13}{-2}$ = $\frac{13}{2}$

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A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 259.2-cm and a standard dev

Varvara68 [4.7K]

Answer:

The probability that the average length of rods in a randomly selected bundle of steel rods is greater than 259 cm is 0.65173.

Step-by-step explanation:

We are given that a company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 259.2 cm and a standard deviation of 2.1 cm. For shipment, 17 steel rods are bundled together.

Let $\bar X$ = the average length of rods in a randomly selected bundle of steel rods

The z-score probability distribution for the sample mean is given by;

Z = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

where, $\mu$ = population mean length of rods = 259.2 cm

$\sigma$ = standard deviaton = 2.1 cm

n = sample of steel rods = 17

Now, the probability that the average length of rods in a randomly selected bundle of steel rods is greater than 259 cm is given by = P( $\bar X$ > 259 cm)

P( $\bar X$ > 259 cm) = P( $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ > $\frac{259-259.2}{\frac{2.1}{\sqrt{17} } }$ ) = P(Z > -0.39) = P(Z < 0.39)

= 0.65173

The above probability is calculated by looking at the value of x = 0.39 in the z table which has an area of 0.65173.

8 0

3 years ago

Please help me with this question

vichka [17]

Write the ratio out.

Number of hands Betty won : Number of hands Adam won

5:20

Both can be simplified by the common factor of 5.

1:4 is the solution.

5 0

3 years ago

the calorie cafe is known for their hotdogs and burgers. the number of calories in a burger is 220 more than the number of calor

meriva

Answer:

Number of calories in burger = 620 calories

Number of calories in hotdog = 400 calories

Step-by-step explanation:

Number of calories in burger = x

Number of calories in hotdog = y

y = x - 220

x + 2y = 1,420

Substitution:

x + 2 * (x - 220) = 1,420

x + 2x - 440 = 1,420

3x = 1,420 + 440

x = 1,860 / 3

x = 620 calories

y = x - 220

= 620 - 220

= 400 calories

6 0

3 years ago

- 30 = 12 – 6r Pls help

oee [108]

Answer: r = 7

Step-by-step explanation:

Subtract 12 from both sides to isolate the r variable. You have -42 = -6r. Divide both sides by -6 to get r by itself and you get r = 7. Verify by substituting 7 as the r value and solving the equation.

8 0

3 years ago

Read 2 more answers

What is the dollar value of 7 nickels and 8 quarters

victus00 [196]

Answer:

$2.35

Step-by-step explanation:

Nickels are worth 5 cents each and quarters are worth 25 cents.

7 nickels = 7 * 5 cents = 35 cents

8 quarters = 8 * 25 cents = 200 cents

Total = 200 + 35 = 235 cents

There are 100 cents per dollar, so we can find the dollar value by:

235/100 = $2.35

7 0

3 years ago