Determine any data values that are missing from the table, assuming that the data represent a linear function.
x y
1 2
2 4
3

a. 7
b. 6
c. 2
d. 8

Answer:

y = - [tex]\frac{3}{2}[/tex]x - [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

2x-3y=8

rewrite, solve for y

3y = 2x - 8

divide by 3

y = [tex]\frac{2}{3}[/tex]x - [tex]\frac{8}{3}[/tex]

perpendicular = negative reciprocal slope = - [tex]\frac{3}{2}[/tex]

Answer:

The 85% confidence interval for the mean number of dresses purchased each year is (6.1, 6.3).

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.85}{2} = 0.075[/tex]

Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.075 = 0.925[/tex], so Z = 1.44.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 1.44\frac{1.1}{\sqrt{208}} = 0.1[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 6.2 - 0.1 = 6.1

The upper end of the interval is the sample mean added to M. So it is 6.2 + 0.1 = 6.3

The 85% confidence interval for the mean number of dresses purchased each year is (6.1, 6.3).

Answer:

Reduced fat had the greater spread.

Step-by-step explanation:

Answer:

144

Step-by-step explanation:

radius is half of a diameter so that means you need to multiply 72 times 2

Answer:

[tex]\text{Axis of symmetry: }x=-2\\\text{Vertex: }x=-2,\ y=10[/tex]

Step-by-step explanation:

[tex]y=-2x^2-8x+2\\\\\text{Solving }y=0:\\-2x^2-8x+2=0\\x=-2\pm\sqrt{5}\text{ (Using the quadratic formula)}\\\\\text{Finding mid-point (x-coordinate):}\\\frac{-2+\sqrt{5}-2-\sqrt{5}}{2}=-2\\\\\therefore\text{Vertex: }x=-2,\ y=10\\\text{Axis of symmetry: }x=-2[/tex]

Answer:

7,5*1000/2=37,5

Step-by-step explanation:

Answer:

Part A: so the GCF is 3y, 

We need to rewrite the equation such as: 

-36 as -12 · 3, -9 as -3 · 3, 12 as 4 · 3

It will look like this: 

3x^3 y +4 · 3xy + 3 · 3x^2 y + 4 · 3 · 3y

We then need to factor out 3y:

3y(x^3 + 4x - 3x^2 - 12)

Part b: factor out completely

3y(x^3 + 4x - 3x^2 - 12)

So, we need to do the following:

3y{x^2(x-3) + 4 (x-3)}

we then get the final factor: 3y(x - 3) (x^2 + 4)

Step-by-step explanation:

The factored expression is:

[tex]3y(x^3 + 4x - 3x^2 - 12)[/tex]

------------------------

To factor the expression:

------------------------

The expression is:

[tex]3x^3y + 12xy - 9x^2y - 36y[/tex]

------------------------

The numeric coefficients are: 3, 12, 9, 36

The gcf of the numeric coefficients is:

3 - 12 - 9 - 36|3

1 - 4 - 3 - 12

The gcf of the numeric coefficients is 3, as 3 is the only number by which 3, 12, 9 and 36 are all divisible.

------------------------

The symbolic coefficients are: [tex]x^3y, xy, x^2y, y[/tex]

The only common term is y, so y is the gcf of the symbolic coefficients.

------------------------

The gcf of the entire expression is the multiplication of the gcfs of the numeric and of the symbolic coefficients, so it is 3y.

Now, to factore the expression:

[tex]3x^3y + 12xy - 9x^2y - 36y = 3y(\frac{3x^3y}{3y} + \frac{12xy}{3y} - \frac{9x^2y}{3y} - \frac{36y}{3y}) = 3y(x^3 + 4x - 3x^2 - 12)[/tex]

The factored expression is:

[tex]3y(x^3 + 4x - 3x^2 - 12)[/tex]

A similar problem is given at https://brainly.com/question/20691631

Answer:

Step-by-step explanation:

He eats 1/6 or 1/5 of the original cake.

All  you need to do to get the answer is multiply the denominators.

1/5 * 1/6 = 1/30

If there was something in the numerators. you would multiply them too.

So suppose the two fractions were 3/5 and 2/7

The answer would be 3 * 2 / 5 * 7 = 6 / 35

General rule

When multiplying two fractions, multiply numerator * numerator / (denominator * denominator).

There will be a significant difference between the two proportions. A further explanation is given below.

Thus the above is the appropriate solution.

Learn more:

https://brainly.com/question/16125042

Answer:

$9.75h=e-$263.25

Step-by-step explanation:

Answer:

142

Step-by-step explanation:

hope this help love y all!

Answer:

180 mm³

Step-by-step explanation:

The polyhedron is an oblique rectangular prism

Area of the oblique rectangular prism = base area * height

height = z = 4 mm

Base area = L*W

L = y = 9 mm

W = x = 5 mm

Base area = 9*5 = 45 mm²

Area of the oblique rectangular prism = 45*4 = 180 mm³

Answer:

56ft

Step-by-step explanation:

5+4+12+11+16+8=56

46764need photo ryyiouttgg

Answer:

630 ml

Step-by-step explanation:

1 glass contains 180 ml juice

7/2 glasses contains = 180 × 7/2 = 630 ml

Answer:

garden eel < great white shark < sea urchin < sea turtle

Step-by-step explanation:

Answer:

k=29

Step-by-step explanation:

we know that

-------> by supplementary angles

Solve for k

Combine like terms in the left side

Substract  both sides

Divide by  both sides

therefore

the answer is the option

B

Answer:

14

Step-by-step explanation:

I am preatty sure its 14 hope this helps

Answer:

D and B

Step-by-step explanation:

The scenarios which gives a value of 0.4 is depicted by the equations B and C

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

a)

Jesse rode 4 out of 10 miles on his bike.

So , the fraction is A = 4/10 = 0.4

b)

Jesse finished 40 out of 100 math problems.

So , the fraction is A = 40/100 = 0.4

Hence , the equation is A = 0.4

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

Answer:

werere

Step-by-step explanation:

were

Answer:

a) The car will be worth $8000 after 2.9 years.

b) The car will be worth $6000 after 4.2 years.

c) The car will be worth $1000 after 12.7 years.

Step-by-step explanation:

The value of the car after t years is given by:

[tex]V(t) = 14651(0.81)^{t}[/tex]

According to the model, when will the car be worth V(t)?

We have to find t for the given value of V(t). So

[tex]V(t) = 14651(0.81)^{t}[/tex]

[tex](0.81)^t = \frac{V(t)}{14651}[/tex]

[tex]\log{(0.81)^{t}} = \log{(\frac{V(t)}{14651})}[/tex]

[tex]t\log{(0.81)} = \log{(\frac{V(t)}{14651})}[/tex]

[tex]t = \frac{\log{(\frac{V(t)}{14651})}}{\log{0.81}}[/tex]

(a) $8000

V(t) = 8000

[tex]t = \frac{\log{(\frac{8000}{14651})}}{\log{0.81}} = 2.9[/tex]

The car will be worth $8000 after 2.9 years.

(b) $6000

V(t) = 6000

[tex]t = \frac{\log{(\frac{6000}{14651})}}{\log{0.81}} = 4.2[/tex]

The car will be worth $6000 after 4.2 years.

(c) $1000

V(t) = 1000

[tex]t = \frac{\log{(\frac{1000}{14651})}}{\log{0.81}} = 12.7[/tex]

The car will be worth $1000 after 12.7 years.

Answer:

a) t= 2hours and 10 minutes

b) t=4hours and 20 minutes

v1t1=v2t2

Answer:

Step-by-step explanation:

rate = distance / time     distance is constant (a-b) so call it D

time = distance / rate      rate = speed (ie miles per hour = mph)

time = distance / speed      

A)  if the new speed is 1.5 of the original speed    

     original time = 3.25 hours  or 195 minutes

  3.25  = D / 1       new time = D/1.5       find new time

         3.25 is to D   as    new time is to  D/1.5

            3.25/D = new time / D/1.5                   multiple D/1.5 on both sides

            (3.25/D) ( D/1.5)      = new time           the distance D cancels

            3.25 (D / D) / 1.5   = new time

            3.25 / 1.5  = 2.167 hours   or 2 hours and 10 minutes

B)   if the speed is 3/4 the original speed

original time = 3.25 hours  or 195 minutes

  3.25  = D / 1       new time = D/(3/4)       find new time

         3.25 is to D   as    new time is to  D/0.75

            3.25/D = new time / D/0.75                       multiple D/0.75 on both sides

            (3.25/D) ( D/0.75)      = new time

            3.25 (D / D) / 0.75     = new time

            3.25 / 0.75  = 4.333 hours   or 4 hours and 20 minutes

Answer:

the mean is 5.8 and the median is 6

Step-by-step explanation:

if you multiply the test scores by their frequencies and then add up all those values, and then divide by the number of test scores, you get 5.8

for the median, you write out all the test scores in order from least to greatest and how many times they appear. then if you go to the middle of that number line, youll find the median

Answer:

answer is b.

Step-by-step explanation: use formula

V=1/3(hπr²)

so using this formula gives us 1275.62897 but rounded off gives us 1,275.63 ft3

Answer: 2

Step-by-step explanation:

2+2+1+3=8/4=2

Answer:

1.6 m = 5.3 ft

Answer:

die

Step-by-step explanation:

so in order to die you must die

Answer:

195 rupees

Step-by-step explanation:

10kg=325 rupees

6kg=?

Cross multiplication;

=6×325/10

=1950/10

=195 rupees

Answer:

x=3

y=15

Step-by-step explanation:

y=5x

y=-4x+27

5x=-4x+27

+4x +4x

9x=27

/9 /9

x=3

y=5x

y=5(3)

y=15