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kykrilka [37]
3 years ago
9

Find the slope of the line with x intercept 9 and y intercept of -2

Mathematics
1 answer:
elena-s [515]3 years ago
8 0

Answer:

2/9

Step-by-step explanation:

Find the slope of the line with x intercept 9 and y intercept of -2

Given that the equation of the line is y = mx+b

x intercept occurs when y = 0

The coordinate of x intercept is (9,0)

y intercept occurs at x = 0

The coordinate of y intercept is (0, -2)

Slope m = y2-y1/x2-x1

m = -2-0/0-9

m = -2/-9

m = 2/9

Hence the required slope is 2/9

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Mr. Chu's cherry tree grew 12 inches in
DanielleElmas [232]

Answer:

16 inches after one year

Step-by-step explanation:

in 3/4 a year tree grew 12 inches

divide by 3

multiply by 4

16 inches

7 0
3 years ago
When 37299 is divided by a number , the quotient is 298 and the remainder is 49. what is the number?​
alisha [4.7K]

Answer:

\huge\boxed{125}

Step-by-step explanation:

n-\text{a number}\\\\298n+49=37299\qquad|\text{subtract 49 from both sides}\\\\298n+49-49=37299-49\\\\298n=37250\qquad|\text{divide both sides by 298}\\\\\dfrac{298n}{298}=\dfrac{37250}{298}\\\\n=125

8 0
2 years ago
Read 2 more answers
2. When a large truckload of mangoes arrives at a packing plant, a random sample of 150 is selected and examined for
kirza4 [7]

a) The 90% confidence interval of the percentage of all mangoes on the truck that fail to meet the standards is: (7.55%, 12.45%).

b) The margin of error is: 2.45%.

c) The 90% confidence is the level of confidence that the true population percentage is in the interval.

d) The needed sample size is: 271.

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions has the bounds given by the rule presented as follows:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

The margin of error is given by:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

The variables are listed as follows:

  • \pi is the sample proportion, which is also the estimate of the parameter.
  • z is the critical value.
  • n is the sample size.

The confidence level is of 90%, hence the critical value z is the value of Z that has a p-value of \frac{1+0.90}{2} = 0.95, so the critical value is z = 1.645.

The sample size and the estimate are given as follows:

n = 150, \pi = \frac{15}{150} = 0.1

The margin of error is of:

M = z\sqrt{\frac{0.1(0.9)}{150}} = 0.0245 = 2.45\%

The interval is given by the estimate plus/minus the margin of error, hence:

  • The lower bound is: 10 - 2.45 = 7.55%.
  • The upper bound is: 10 + 2.45 = 12.45%.

For a margin of error of 3% = 0.03, the needed sample size is obtained as follows:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.03 = 1.645\sqrt{\frac{0.1(0.9)}{n}}

0.03\sqrt{n} = 1.645\sqrt{0.1(0.9)}

\sqrt{n} = \frac{1.645\sqrt{0.1(0.9)}}{0.03}

(\sqrt{n}})^2 = \left(\frac{1.645\sqrt{0.1(0.9)}}{0.03}\right)^2

n = 271 (rounded up).

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

3 0
1 year ago
What is the answer I will need help
Hoochie [10]
Answer D, 4 sets of -3 jumps to reach -12
5 0
2 years ago
Read 2 more answers
PLEASE HELP!!!!! Suppose that there are two types of tickets to a show: advance and same-day. The combined cost of one advance t
Sveta_85 [38]

Answer:

The answer to your question is Advance = $35 and same-day = $40

Step-by-step explanation:

Advanced = a

Same-day = s

Equations

                       a +     s  = 75               ----- (I)

                  20a + 35s = 2100            ----- (II)

Process

1.- Solve the equations by elimination.

Multiply equation I by -20

                     -20a - 20s = -1500

                      20a + 35s = 2100

Simplify

                        0   + 15s = 600

Solve for s                  s = 600/15

                                    s = $ 40        

Substitute "s" in equation I to find "a"

                       a   +   40  = 75

Solve for a

                       a    = 75  - 40

                       a = 35

3 0
3 years ago
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