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satela [25.4K]
3 years ago
6

in the xy-coordinate plane, the points (4, 2) and (-1, k) are on a line that is perpendicular to the line y = 2x + 1. What is th

e value of k?
Mathematics
2 answers:
mart [117]3 years ago
7 0

Answer: The value of x is 7/5

Advocard [28]3 years ago
4 0
The value of x is 5/7
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A survey asked people if they were aware that maintaining a healthy weight could reduce the risk of stroke. A 97% confidence int
Natalija [7]

Answer:

97% confidence interval for the survey is between a lower limit of 0.45 and an upper limit of 0.67

Step-by-step explanation:

Confidence Interval is given by the mean + or - error margin

The lower limit of the confidence interval is found by subtracting the error margin from the mean.

The upper limit is obtained by adding the error margin to the mean.

The interpretation is that the mean is between 0.45 and 0.67

5 0
3 years ago
Solve for x -x + 2 = 4
andreev551 [17]

Answer:

-2

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Use the substitution method to solve this
vagabundo [1.1K]
B (2,2) the answer for your question
4 0
3 years ago
The local branch of the Internal Revenue Service spent an average of 21 minutes helping each of 10 people prepare their tax retu
AURORKA [14]

Answer:

The confidence Interval is [- 0.7053  10.4521]

a: The  hypotheses  are

H0: μ1=μ2    against the claim Ha :μ1≠μ2

b. The critical value for t∝/2 for 17 d.f  t > 2.508 and  t < -2.111

c. t= -2.8422

d. The calculated value of t= -2.8422 is less than t < -2.11 the critical value therefore we reject H0 and conclude there is a difference between the two means.

Step-by-step explanation:

When the standard deviations are not the same then the confidence intervals for mean differences are calculated as

(x1`-x2`)- t∝/2 √s1²/n1 + s2²/n2 < u1-u2 < (x1`-x2`)+ t∝/2 √s1²/n1 + s2²/n2

x1`= 21        x2`= 27

n1=  10       n2= 14

s1= 5.6       s2= 4.3

The degrees of freedom is calculated using

υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1

= 17

The t∝/2 for 17 d.f = 2.11

Putting the values

(x1`-x2`)- t∝/2 √s1²/n1 + s2²/n2 < u1-u2 < (x1`-x2`)+ t∝/2 √s1²/n1 + s2²/n2

(21-27) - 2.11√5.6²/10+ 4.3²/14 < u1-u2 <(21-27)  +2.11√5.6²/10+4.3²/14

6- 2.11*2.111 < u1-u2 <  ( 6 )  +2.11*2.111

6- 4.4521 < u1-u2 <  ( 6 )  +5.294

- 1.5479 < u1-u2 <  10.4521

The confidence Interval is [- 0.7053  10.4521]

a: The  hypotheses  are

H0: μ1=μ2    against the claim Ha :μ1≠μ2

The claim is that there is a difference in the average time spent by the two services

b. The critical value for t∝/2 for 17 d.f  t > 2.508 and  t < -2.111

The degrees of freedom is calculated using

υ = [s₁²/n1 + s₂²/n2]²/ (s₁²/n1 )²/ n1-1 + (s₂²/n2)²/n2-1

= 17

c. The test statistic is

t= (x1`-x2`)  /√s1²/n1 + s2²/n2

t= (21-27)  /√5.6²/10+ 4.3²/14

t= -6/2.111

t= -2.8422

d. The calculated value of t= -2.8422 is less than t < -2.11 the critical value therefore we reject H0 and conclude there is a difference between the two means.

5 0
3 years ago
For geometry:(<br><br> i’ll give a brainist!!!
kvasek [131]
<h3>Answer: Angle Q = 133 degrees</h3>

========================================================

Work Shown:

Recall that for any triangle, the three angles always add to 180

P+Q+R = 180

(x+13) + (10x+13) + (2x-2) = 180

(x+10x+2x) + (13+13-2) = 180

13x+24 = 180

13x = 180-24

13x = 156

x = 156/13

x = 12

Now that we know x, we can find the angle measures

  • angle P = x+13 = 12+13 = 25 degrees
  • angle Q = 10x+13 = 10*12+13 = 120+13 = 133 degrees
  • angle R = 2x-2 = 2*12-2 = 24-2 = 22 degrees

As a way to check if we have the right answer or not, we see that,

P+Q+R = 25+133+22 = 180

So the answer is confirmed.

4 0
2 years ago
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