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STALIN [3.7K]
3 years ago
12

Write the equation of a line that is perpendicular to y=-x-6y=−x−6y, equals, minus, x, minus, 6 and that passes through the poin

t (-9,-4)(−9,−4)left parenthesis, minus, 9, comma, minus, 4, right parenthesis. PLS HURRY
Mathematics
2 answers:
Anni [7]3 years ago
7 0
The given line has a slope of -1 so the perpendicular line will have a slope of -1/1=1
y=x+5
TEA [102]3 years ago
6 0

Answer:

Step-by-step explanation

Write the equation of a line that is perpendicular to y=-x-6y=−x−6y, equals, minus, x, minus, 6 and that passes through the point (-9,-4)(−9,−4)left parenthesis, minus, 9, comma, minus, 4, right parenthesis.

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Suppose the initial position of an object is zero, the starting velocity is 3 m/s and the final velocity was 10 m/s. The
Ivan

Answer:

The area of the rectangle plus the area of the triangle under the line.

Step-by-step explanation:

6 0
2 years ago
After being rejected for employment, Kim Kelly learns that the Bellevue Credit Company has hired only five women among the last
Georgia [21]

Answer:

The probability that 5 or fewer women are hired, assuming no gender discrimination, is 0.0317; we can use this result to support her charge of gender discrimination.

Step-by-step explanation:

If we are assuming that the women and the men are equally qualified, then the probability for each employee that is hired the probability for it to be a women should be 1/2. Note that the fact that more men that women are hired in a sample might not be disctrimination: for example, if 2 men are hired out of 2 employees, that can happen with probability 1/4, so it is quite common. In order to support her charge for gender discrimination, we need at least a probability less that 0.05 that 5 (or less) women are hired out of 19 employees.

Since each configuration is equally probable, we will count the total amount of possible cases that 5 or less women are hired, and dividide it by the total amount of cases, 2¹⁹.

  • 0 women hired: one possible case: every employee is male
  • 1 women hired: 19 possible cases
  • 2 women hired: {19 \choose 2} = 171 possible cases
  • 3 women hired: {19 \choose 3}  = 969 possible cases
  • 4 women hired: {19 \choose 4} = 3876 possible cases
  • 5 women hired: {19 \choose 5} = 11628 possible cases

Thus, there are a total of 11628+3876+969+171 = 16644 possible cases out of 2¹⁹ ones. All of them with seemingly equal probability. As a consequence, the probability of 5 or less women to be hired out of 19 employees, assuming that the probability to hire 1 is 1/2, is

16644/2¹⁹ = 0.0317 < 0.05

The probability that 5 or fewer women are hired, assuming no gender discrimination, is 0.0317. Since the probability is so low, we can conclude that for the employer, a woman equally qualified as a man is less likely to be hired, therefore, we can support her charge of gender discrimination.

6 0
3 years ago
Solve. 3 1/4 - 1 5/8
erik [133]

Step 1. Convert 3 1/4 to an improper fraction.

3 * 4 + 1/4 - 1 5/8

Step 2. Simplify 3 * 4 to 12

12 + 1/4 - 1 5/8

Step 3. Simplify 12 + 1 to 13

13/4 - 1 5/8

Step 4. Convert 1 5/8 to an improper fraction.

13/4 - 1 * 8 + 5/8

Step 5. Simplify 1 * 8 to 8

13/4 - 8 + 5/8

Step 6. Simplify 8 + 5 to 13

13/4 - 13/8

Step 7. Find the Least Common Denominator (LCD) of 13/4, 13/8

LCD = 8

Step 8. Make the denominators the same as the LCD

13 * 2/ 4 * 2 - 13/8

Step 9. Simplify. Denominators are now the same

26/8 - 13/8

Step 10. Join the denominators

26 - 13/8

Step 11. Simplify

13/8

Step 12. Convert to a mixed fraction

1 5/8


6 0
3 years ago
Read 2 more answers
Please help will be pleasured:)
Talja [164]
The answer to this is the second option.
7 0
3 years ago
A medical scientist has a 15-gram sample of I-13, And would like to know it's half-life in days. he also knows that k=0.0856
harina [27]

Answer:

The number of days is approximately 8.                    

Step-by-step explanation:

Given : A medical scientist has a 15-gram sample of I-13, And would like to know it's half-life in days. he also knows that k=0.0856.

To find : The half-life, in days, of I-131 using the information at the left?

Solution :

The decay model is given by  N=N_0e^{-Kt}

We have given that,  

The substance's half-life is the time it takes for the substance to decay to half its original amount.

i.e. N=\frac{N_0}{2}

The value of k is k=0.0856.

Substitute the values in the formula,

 N=N_0e^{-Kt}

 \frac{N_0}{2}=N_0e^{-(0.0856)t}

 \frac{1}{2}=e^{-(0.0856)t}

Taking natural log both side,

 \ln\frac{1}{2}=\ln e^{-(0.0856)t}

 -\ln2=-(0.0856)t\ln e

 t=\frac{-\ln2}{-0.0856}

 t=8.09

Therefore, The number of days is approximately 8.

4 0
3 years ago
Read 2 more answers
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