Find k so that the line through (4, -3) and (k.1) is
a. parallel to 3x + 5y = 10,
b. perpendicular to 4x - 3y = - 1
a. k=

Answer:

least common denominator = 7y

Step-by-step explanation:

3/y = 21/7y

1/7y and 21/7y have a least common denominator of 7y.

Answer:

The pvalue of the test is 0.0537 > 0.02, which means that there is not sufficient evidence to support the power company's claim at the 0.02 level of significance.

Step-by-step explanation:

The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,941 kilowatt hours (kWh) of electricity this year.

This means that the null hypothesis is:

[tex]H_0: \mu = 10941[/tex]

A local power company believes that residents in their area use more electricity on average than EIA's reported average.

This means that the alternate hypothesis is:

[tex]H_a: \mu > 10941[/tex]

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

10941 is tested at the null hypothesis:

This means that [tex]\mu = 10941[/tex]

To test their claim, the company chooses a random sample of 115 of their customers and calculates that these customers used an average of 11,425kWh of electricity last year. The population standard deviation is of 3217kWh:

This means that [tex]n = 115, X = 11425, \sigma = 3217[/tex]

Value of the z-statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{11425 - 10941}{\frac{3217}{\sqrt{115}}}[/tex]

[tex]z = 1.61[/tex]

Pvalue of the test:

Probability of finding a mean above 11425, which is 1 subtracted by the pvalue of z = 1.61.

Looking at the z-table, z = 1.61 has a pvalue of 0.9463.

1 - 0.9463 = 0.0537

The pvalue of the test is 0.0537 > 0.02, which means that there is not sufficient evidence to support the power company's claim at the 0.02 level of significance.

Answer:

[tex]20[/tex]

Step-by-step-Explanation:

Remember, the Pythagorean Theorem.

[tex]a^{2} + b^{2} = c^{2}[/tex]

[tex]21^{2} + b^{2}=29^{2}[/tex]

[tex]29^{2} -21^{2} =400[/tex]

sq rt of [tex]400=20[/tex]

Answer:

(4cos150, 4sin150) or (4cos5pi/6, 4sin5pi/6)

Step-by-step explanation:

Given the rectangular coordinate

(2√3,-2)

x = 2√3

y = 2

For polar coordinate;

x =r cos theta

y = rsin theta

r = √x²+y²

r = √(2√3)²+(-2)²

r = √4(3) + 4

r = √12+4

r = 4

theta = arctan(y/x)

theta = arctan(-2/2√3)

theta = arctan(-1/√3)

theta = -30

theta = 180 - 30

theta = 150degrees

x = 4cos 150

y = 4sin150

The polar coordinate is (4cos150, 4sin150) or (4cos5pi/6, 4sin5pi/6)

The polar coordinates of the point are

Answer:

The juice concentration in the punch that Johan added was 35%.

Step-by-step explanation:

Since a bottle contains 750mL of fruit punch with a concentration of 50% pure fruit juice, and Johan drinks 100mL of the punch and then refills the bottle with an equal amount of a cheaper brand of punch, if the concentration of juice in the bottle is now reduced to 48%, to determine what was the concentration in the punch that Johan added, the following calculation must be performed:

750 = 100

650 = X

650 x 100/750 = X

65000/750 = X

86,666 = X

86.666 x 0.5 + 13.333 x 0.4 = 0.486662

86.666 x 0.5 + 13.333 x 0.39 = 0.4853287

86.666 x 0.5 + 13.333 x 0.35 = 0.4799955

Thus, the juice concentration in the punch that Johan added was 35%.

Step-by-step explanation:

1. SAS

2. HL

3. AAS

4 AAS

Answer:

25 families living near the school

Step-by-step explanation:

Answer:

25 families living near the school :D

Step-by-step explanation:

Answer:

x = 6, x = -4

Step-by-step explanation:

Answer:

60 degrees

Step-by-step explanation:

On the diagram, we can see that the two angles have a dash on each of them. This means that they have the same measure.

So, if angle ABD is 60 degrees, then angle DBC would also be 60 degrees.

I hope this helps!

Answer:Each baseball cost $2.79.Each baseball cost $25.11.The value of c can be found using the formula  .The value of c can be foun

Step-by-step explanation:

Answer:

22/55 and 20/55

Step-by-step explanation:

multiply 2 and 5 by 11 to get 22/55, and multiply 4 and 11 by 5 to get 20/55

Step-by-step explanation:

1. yes 4+16 = 20

2. yes 32 - 4 = 28

3. yes 4(10) = 40

4. no 24/6 = 4

Answer:

I love algebra anyways  

the ans is in the picture with the steps  

(hope it helps can i plz have brainlist :D hehe)

Step-by-step explanation:

1.yes

2.yes

3.yes

4.no

Answer:

64° and 116°

Step-by-step explanation:

2x + 52° = 180°

2x = 128°

x = 64°

9514 1404 393

Answer:

  B.  21%

Step-by-step explanation:

The number of students in grade 11-12 is given in the total column: 120.

The number of those who like rock music is given in the second column: 25.

Then the percentage in 11-12 grade who like rock music is ...

  25/120 × 100% ≈ 20.833% ≈ 21%

Answer:

8.75$

Step-by-step explanation:

if 12 cans cost $21

1 can cost $21÷12=1.75$

5 cans = 1.75$ ×5

Answer:

fed,  slippers

Step-by-step explanation:

Answer:

He wrote the word "ease"

Answer:

$12

Step-by-step explanation:

We have to do this operation:

(16/4) x 3 = 4 x 3 = $12

Answer:

It will cost $12 to purchase 3/4 of the pan of brownies

Step-by-step explanation:

3/4 of 16 is equal to 12.

Hope this helps! Pls mark brainliest

Answer: 544 sq. inch

Step-by-step explanation:

12 x 8 x 0.5 x 2 + 10 x 14 x 2 + 12 x 14 = 544

Answer:

my head hurts also

Step-by-step explanation:

The answer is D ...........

Answer:

the answer is Actually A believe me i did the test

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

The statement 'the bike distance is greater than the run distance.' must be true.

The correct answer is option D.

"It is the length of the line joining the two points."

In any triangle,

For given example,

We have given two angles of triangle.

65° and 57°

We know, the sum of all angles of triangle is 180°.

Let 'x' be the remaining angle.

⇒ x + 65° + 57 = 180°

⇒ x +122° = 180°

⇒ x = 58°

We know,

In any triangle,

- the smallest side and smallest angle are opposite one another.

- the mid-sized side and mid-sized angle are opposite one another.

- the largest side and largest angle are opposite one another.

Here,

57° < 58° < 65°

⇒ Run < Bike < Swim

This means, the statement 'the bike distance is greater than the run distance.' is correct.

The correct answer is option D.

Learn more about angle here:

https://brainly.com/question/8729556

#SPJ2

Answer:

a. N=11

D=12

b. N=1

D=7512

c. N=12

D=0

d. N= 1

D=978

Answer:

A po ang answer kahit icompute pa po.

Step-by-step explanation:

hope it helps you po!

Answer:

Hello your question is incomplete attached below is the complete question

answer : 192.15 pounds

Step-by-step explanation:

Given :

weight =  - 99.41 + 3.94*Height

R^2 = 0.81

SER = 10.2

Determine the regression weight prediction

Height of man = 74 inches

Hence : weight = - 99.41 + 3.94 * 74 = 192.15

therefore the regression weight prediction = 192.15 pounds