write the equation of the line passing through -1,3 that is parallel to y=4x-7 AND. write the equation of the line (y=-1/4x+9) passing through the given point (3,-7) that is perpendicular to the given line

Answer:

yes

Step-by-step explanation:

7.8 x c + 3.4 = 19

7.8c + 3.4 = 19

7.8c = 19 - 3.4

7.8c = 15.6 (now divide both sides by 7.8)

x = 2

Step-by-step explanation:

i)Initial School population,

given 15 units = 1200

1 unit =

[tex]1200 \div 15 \\ = 80[/tex]

Number of teachers (initial) = 1 unit = 80.

ii)take j = number of teachers joining the school.

New teacher population = 80+j

[tex] \frac{3}{43} (1280 + j) = 80 + j \\ \frac{3840}{43} + \frac{3}{43} j = 80 + j \\ j - \frac{3}{43} j = \frac{3840}{43} - 80 \\ \frac{40}{43} j = \frac{400}{43} \\ 40j = 400 \\ j = 400 \div 40 \\ = 10[/tex]

Answer:

The geometric mean of 18 and 27 is 22.045407685

Step-by-step explanation:

I hope this helps and pls mark me brainliest :)

Answer:

22.045407685

Step-by-step explanation:

Solution :

According to the question, let

A : winning first scholarship

B : winning second scholarship

So for the first scholarship, there are five finalist and only two scholarship will be awarded. And for the second scholarship there are five finalist and only one scholarship will be awarded.

Therefore,

[tex]$P(A)=\frac{2}{5}$[/tex]   and    [tex]$P(B)=\frac{1}{5}$[/tex]

1. So, [tex]$P(A \cap B ) = P(A) P(B)$[/tex]

                      [tex]$=\frac{2}{5} \times \frac{1}{5}$[/tex]

                      [tex]$=\frac{2}{25}$[/tex]                

2. [tex]$P(A \cup B) = P(A)+P(B)-P(A)P(B)$[/tex]

                   [tex]$=\frac{2}{5}+\frac{1}{5}-\frac{2}{25}$[/tex]

                   [tex]$=\frac{13}{25}$[/tex]

3. She should apply to both the scholarships, so as to have a maximum chances of winning at least one scholarship.

Answer:

C. 1/x

Step-by-step explanation:

Sana nakatulong

Answer:

36

Step-by-step explanation:

Answer:

z < -2

g is indeterminate

Step-by-step explanation:

For the inequality Z - ( -7 ) < 5

open the parenthesis

z+7 < 5

Subtract 7 from both sides

z+7-7 < 5-7

z < -2

For 8(3g - 2) <= 12(2g + 1)

Expand

24g -16 ≤ 24g + 12

24g - 24g ≤  12+18

0g≤  28

g ≤  28/0

Hence g is indeterminate

Answer:

y = 1/4 x - 7/2

Step-by-step explanation:

x - 4y = 14

-4y = -x + 14

y = -x/(-4) - 14/4

y = 1/4 x - 7/2

Answer:

my answer is the 500 or 5

Step-by-step explanation:

I'm saying that because some books write for you the zeros and other write for you the zeros if you find the book saying 500 that's the answer if the book is saying 5 that's the answer but don't say they're both correct answers nice to help you.

Answer:

D

Step-by-step explanation:

median because it indicates the expected range of gas prices

Answer:

11.4

Step-by-step explanation:

7b))60+40+x=180

x=180-100

x=80

sin60÷10=sin80÷x

xsin60=10sin80

x=10sin60÷sin60

=11.371

=11.4

Answer:

The 98% confidence interval estimate of the proportion of adults who use social media is (0.56, 0.6034).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Of the 2809 people who responded to survey, 1634 stated that they currently use social media.

This means that [tex]n = 2809, \pi = \frac{1634}{2809} = 0.5817[/tex]

98% confidence level

So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5817 - 2.327\sqrt{\frac{0.5817*4183}{2809}} = 0.56[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.5817 + 2.327\sqrt{\frac{0.5817*4183}{2809}} = 0.6034[/tex]

The 98% confidence interval estimate of the proportion of adults who use social media is (0.56, 0.6034).

Answer:

2

Step-by-step explanation:

6×3÷4=2

Hope this helps you

Answer:

5,6

Step-by-step explanation:

Answer:

5 and 6

Step-by-step explanation:

5² = 25

6² = 36

Answer:

96 is the answer and it has always been the answer

Multiply total mass by portion that is water:

75 x 0.6 = 45

Water = 45 kilograms.

Answer:

45 kilograms

Step-by-step explanation:

Hope this helps

Answer: 69.09% is the percentage. 0.6909 is the decimal

Step-by-step explanation:

hope this helps! you don't have to but maybe mark as brainliest?

Answer:

Area = pi * r^2

r is half of the diameter

Area = pi * 14^2

Area = 196 pi

196 * 3.14

Area is approximately 615.44 cm^2

Answer:

Step-by-step explanation:

what expressions?

Answer:

1 1/12 ft

Step-by-step explanation:

12 inch per foot

13in - 12in = 1 in

1 in left over

1 1/12

Answer:

1ft. 1in.

6/1 is the answer

Answer:

B. 20

Step-by-step explanation:

x + 40 = 3x

x - x + 40 = 3x - x

40 = 2x

20 = x

Step-by-step explanation:

120 times 0.20= $24

120-24= $96

Answer:

9/10 divided by 3/4 is 6/5  

3/4 divided by 9 is 1/12

6/9 divided by 6/7 is 7/6

5/6 divided by 3/10 is 25/9 but as a mixed number it is 2 7/9

Answer:

He invested $ 8500 at the interest of 5% and $ 6500 at the interest of 3%

Step-by-step explanation:

Let the sum invested at interest rate of 5% be X

Let the sum invested at interest rate of 3% be Y

As we know

[tex]X + Y = 15000[/tex] - Eq (1)

[tex]X* 5/100 *1 + Y * 3/100 * 1 = 620[/tex]

[tex]5X + 3Y = 62000[/tex] ---Eq (2)

Multiplying Eq (1) by 3 we get -

[tex]3X + 3Y = 45000[/tex]

Substract Eq (1) from Eq (2) we get

[tex]5X + 3Y = 62000\\- 3X -3Y = -45000\\2X = 17000\\X = 8500\\Y = 15000-8500 = 6500[/tex]

He invested $ 8500 at the interest of 5% and $ 6500 at the interest of 3%

Answer:

Least value: s + r

Greatest value: s - r

Closest to zero: s

Step-by-step explanation:

Here, we can approximate r as -6 and s as 2.

If we calculate each possibility using our approximations above:

s - r = 2 - (-6) = 8

s = 2

s + r = 2 - 6 = -4

Using these numbers, we can conclude:

Least value: s + r

Greatest value: s - r

Closest to zero: s

Answer:

Least value: s + r

Greatest value: s - r

Closest to zero: s

Step-by-step explanation:

Answer:

it's 1512. you multiply everything together. volume=lengthsxheightxwidth

Answer:

1/2, or 50%

Step-by-step explanation:

out of the six possibilities, there are 3 odd numbers: 1, 3, 5

3 out of 6 is 1/2, therefore the probability is 1/2, or 50%