Please help me out. Thanks

Answer:

[tex]\displaystyle y = -\frac{2}{3} x + \frac{34}{3} \text{ or } 2x + 3y =34[/tex]

Step-by-step explanation:

We want to find the equation of a line that contains the point (5, 8) and is parallel to the graph of:

[tex]\displaystyle 2x + 3y = 9[/tex]

Recall that parallel lines have equal slopes.

Find the slope of the given graph by rewriting it in slope-intercept form:

[tex]\displaystyle \begin{aligned} 2x + 3y & = 9 \\ \\ 3y & = -2x + 9 \\ \\ y & = -\frac{2}{3} x + 3 \end{aligned}[/tex]

Hence, the slope of the given graph is -2/3. Therefore, the slope of our new line must also be -2/3.

Since we now have a slope and a point, we can consider using the point-slope form:

[tex]\displaystyle y - y_1 = m(x-x_1)[/tex]

Substitution yields:

[tex]\displaystyle y - (8) = -\frac{2}{3}(x -( 5))[/tex]

We can simplify this into slope-intercept form:

[tex]\displaystyle \begin{aligned} y - 8 & = -\frac{2}{3} x + \frac{10}{3} \\ \\ y & = -\frac{2}{3} x + \frac{34}{3}\end{aligned}[/tex]

Or, into standard form:

[tex]\displaystyle \begin{aligned} y & = -\frac{2}{3}x + \frac{34}{3} \\ \\ 3y & = -2x + 34 \\ \\ 2x + 3y & = 34 \end{aligned}[/tex]

Using the normal distribution and the central limit theorem, it is found that there is a:

a) 0.2266 = 22.66% probability that the sample mean is greater than 63.

b) 0.1587 = 15.87% probability that the sample mean is less than 56.

c) 0.6147 = 61.47% probability that the sample mean is between 56 and 63.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

Item a:

This probability is 1 subtracted by the p-value of Z when X = 63, so:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{63 - 60}{4}[/tex]

[tex]Z = 0.75[/tex]

[tex]Z = 0.75[/tex] has a p-value of 0.7734.

1 - 0.7734 = 0.2266

0.2266 = 22.66% probability that the sample mean is greater than 63.

Item b:

This probability is the p-value of Z when X = 56, so:

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{56 - 60}{4}[/tex]

[tex]Z = -1[/tex]

[tex]Z = -1[/tex] has a p-value of 0.1587.

0.1587 = 15.87% probability that the sample mean is less than 56.

Item c:

This probability is the p-value of Z when X = 63 subtracted by the p-value of Z when X = 56.

These p-values were found in the previous items, so:

0.7734 - 0.1587 = 0.6147

0.6147 = 61.47% probability that the sample mean is between 56 and 63.

A similar problem is given at https://brainly.com/question/24663213

Ratio = 2 : 5

Numbers = 2x & 5x

[tex]2x + 5x = 21 \\ 7x = 21 \\ x = 21 \div 7 \\ x = 3[/tex]

Numbers :-

2x = 2 × 3 = 6

5x = 5 × 3 = 15.

The numbers are 6 & 15.

Answer:

Granny is correct

Step-by-step explanation:

Hope it helps

Answer:

Orange and pink, I'm not too sure

Answer:

Orange and pink.

Step-by-step explanation:

Because there shapes are same.

Answer:

B

Step-by-step explanation:

taking test rn ill say if its correct when i finish

Answer:

C reflection over y=x-1 (x+0y-4)

Step-by-step explanation:

Just got it right on the test

i thing the answer is D the last chart

Answer:15

Step-by-step explanation:

Answer:

give me 1 min ill answer it

Step-by-step explanation:

Answer:

$395.55

Step-by-step explanation:

45%+10%=55%

100%-55%=45%

Since 45% is 45/100 in fractions, use that x 879 for the final price.

45/100x879=395.55

Hope this helps! Thanks.

Answer:

435.11

Step-by-step explanation:

First find the sale price of the computer. Then take the additional 10% off of the sale price.

Answer:

110º

Step-by-step explanation:

a triangle has 180º total

so 180-35-35

110

the missing angle in the traingle on top is congruent to angle b

Answer:

Step-by-step explanation:

whwwyw

Answer:

The second line.

Step-by-step explanation:

The line starts off at 0 and goes up to 0.8.

As you can see it goes up .3 more.

.8 + .3 = 1.1

just as 8 + 3 = 11 but with decimals.

Answer:

Surface area is 1140cm^2

Volume is 1800 cm^3

Step-by-step explanation:

12x5=60x2=120

5x6=30x2=60

20x6=120x8= 960

120

  60

+960

1140

12x20=240x10=2400

5x6=30x20=600

2400-600=1800

Answer:

9)x=-4

10)x=5

11)x=4

12)x=-9

13)x=-8

14)x=-3

Step-by-step explanation:

A triangle is 180º total so just add the numbers togeather and make an equation where they x+#s=180.

Answer: 678.34

Step-by-step explanation:

600 + 78 and 34 hundredths

678.34

Based on the cost of the adult tickets and the children's ticket, the expression that can find the amount raised is 8x + 3y.

Also if those number of tickets were sold, the amount realized would be $3,054.

The total amount raised can be found as:

= (Number of adult tickets x price of adult tickets) + (Number of children's tickets x price of children's tickets)

Assuming the adult tickets are x and the children's tickets are y, the equation would be:

= (x × 8) + (y × 3)

= 8x + 3y

If 240 adult tickets and 378 children's tickets are sold, the amount realized would be:

= 8x + 3y

= (8 x 240) + (3 x 378)

= $3,054

In conclusion, the relevant expression is 8x + 3y and the amount raised would be $3,054.

Find out more at https://brainly.com/question/7268387.

Answer:

21 ounces of flour

Step-by-step explanation:

10/3 = 70/x

isolate the so that it is on the top, so multiply by x on the right and on the left

this gives you:

x*10/3=70

try to isolate x and multiply by 3 to get rid of the denominator

x*10=70*3

x*10= 210

finally isolate x by dividing by 10 and getting rid of the 10 multiplying with it

x= 210/10

x=21

you need 21 ounces of flour if you have 70 ounces of sugar you can double check by making sure the ratio of 10/3 is equal to 70/21 and of course they both equal 3.33 repeating, therefore your answer is correct Hope that helps

Answer:

You would need 21 ounces of flour

Step-by-step explanation:

sugar:flour

10:3

10x7=70

70:?

3x7=21

70:21

Answer:

$5 + 4x = 25

Step-by-step explanation:

let x = eraser

4 × x = 4x

$5 + 4x = $25

Hi there! :)

We are given 2 points. It means we can use the following formula to find the slope:

m=[tex]\frac{y2-y1}{x2-x1}[/tex]

m=[tex]\frac{0-(-6)}{-2-0\\} \\\frac{0+6}{-2}\\\frac{6}{-2} \\-3[/tex]

So the slope is -3

First, let's write the equation of the line in point-slope form.

y-y1=m(x-x1)

y-(-6)=-3(x-0)

y+6=-3(x+0)

y+6=-3x+0

y=-3x+0-6

y=-3x-6

Hope this helps!

~Just an emotional teen who listens to her favorite song "Try Everything"

[tex]SilentNature[/tex]

Answer:

$17.81

Step-by-step explanation:

11.87 x 1.5 = 17.805

for every completed length of audiobook, Zhen spends 6.5 hours working.

C.Zhen spends 6 1/2 hours working per audiobook

Answer:

Y=-3

You see y=-3 does pass through 2,3 and is also parallel to y=6

Answer:

308

Step-by-step explanation:

144+108+56=308

Answer:

z = 72

Step-by-step explanation:

-1/4z + 12 = -6

× 4

-z + 48 = - 24

-z = - 72

z = 72

9514 1404 393

Answer:

Step-by-step explanation:

To find the cube root, divide all of the exponents by 3. For a cube root, the sign is unchanged.

A) ∛(-27/64a^9b^6) = -∛(3^3/4^3·a^9·b^6) = -3/4a^3b^2

__

B) 9.6×10^-8 ÷ (3×10^-7) = (9.6/3)×10^(-8-(-7)) = 3.2×10^-1

__

C) ∛(-0.001a^(3n+3)) = -∛(0.1^3·a^(3n+3)) = -0.1a^(n+1)

Answer:

Step-by-step explanation:

The ratio of height to shadow length will be proportional.

2.6 / 1.26 = h / 37.25

h = 37.25(2.6)/1.26 = 76.865079...

h = 76.9 m