A reporter claims that 90% of American adults cannot name the current vice president of the United States. To
investigate this claim, the reporter selects a random sample of 50 American adults and finds that 28 are unable to name the current vice president. The reporter would like to know if the data provide convincing evidence that fewer than 90% of American adults are unable to name the current vice president. Are the conditions for inference met?

a)Yes, the conditions for inference are met.

b) No, the 10% condition is not met.

c) No, the Large Counts Condition is not met.

d) No, the randomness condition is not met.

Answer:

2nd option

Step-by-step explanation:

Using [tex]a_{n}[/tex] = 5[tex]a_{n-1}[/tex] and a₁ = 2 then

a₂ = 5 × a₁ = 5 × 2 = 10

a₃ = 5 × a₂ = 5 × 10 = 50

the first 3 terms are 2, 10, 50

The first three terms of the given sequence are 2, 10, 50

A sequence in which every term is obtained by multiplying or dividing a definite number with the preceding number is known as a geometric sequence.

Given that, a sequence can be generated by using aₙ₋₁ = 5 and a₁ = 2,

We need to find the first three terms of the sequence,

Therefore, aₙ₋₁ = 5 and a₁ = 2 then

a₂ = 5 × a₁ = 5 × 2 = 10

a₃ = 5 × a₂ = 5 × 10 = 50

Therefore,

The first 3 terms are 2, 10, 50

Hence, the first three terms of the given sequence are 2, 10, 50

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Answer:

5

Step-by-step explanation:

thanks for the points

Step-by-step explanation:

[tex](x...y = (2...4)| [/tex]

Answer:

x = 2, y = 4

Step-by-step explanation:

We can solve the system of equations using substitution. (We can't use elimination for a problem like this because there's no addition or subtraction in the first equation, and besides, it would make it longer.)

Replace the y value in [x = -y + 6] with "2x", because y = 2x.

x = -2x + 6

From there, we can solve the linear equation.

x = -2x + 6

add 2x to both sides

3x = 6

divide by 3

x = 2

From x, we can also figure out what y equals.

Replace the x value in [y = 2x] with "2", because x = 2.

y = 2*2

y = 4

x = 2 and y = 4

Answer:

1) False

2) True

3) True

4) False

Step-by-step explanation:

For the first statement, we can look at a graph with the line of y = 3.69x plotted. If we check the points (7.38, 2) and (11.07,3), they do not intersect with the line. So, the first statement is false.

For the second statement, we can check the equation for the line to find the slope. The equation, y = 3.69x, is in slope-intercept form, or [tex]y = mx + b[/tex]. In this form, [tex]m[/tex] is the slope of the line. [tex]b[/tex] is the y-intercept. In this line, there is no y-intercept specified, so we can take this to mean the y-intercept is 0. The slope, we can see, is 3.69. The slope, multiplied by x, shows us any point of the line. The second statement, then, is true.

The next statement can be verified by finding just how much 16 gallons will cost. Like we've seen before, the slope can be multiplied by x, the number of gallons, to see where that point will be plotted. So, we can multiply the slope by 16.

3.69 · 16 = 59.04

The (x) value, we already know, is 16. The (y) value, we've found, is 59.04. So 16 gallons will be plotted at  (16, 59.04). The third statement is true.

The last statement says that if the price increases by $0.05, the slope will be 3.64. We can tell this is false by adding 0.05 to the original slope, 3.69.

3.69 + 0.05 = 3.74

3.74 ≠ 3.64, so the last statement is false.

I hope this was helpful to you ^^

Good luck

Answer:

mean: 15

median: 14

mode: 13

range: 8

Answer:

It’s C 1/12

Step-by-step explanation:

Answer:

1 haircut = 47 dollars

1 colouring = 98 dollars

Step-by-step explanation:

Let [tex]x[/tex] be equal to the cost of 1 haircut.

Let [tex]y[/tex] be equal to the cost of 1 colouring treatment.

1) Form equations

Equation 1: 3 haircuts + 1 colour = 239 dollars

⇒ [tex]3x+y=239[/tex]

Equation 2: 2 haircuts + 1 colour = 192 dollars

⇒ [tex]2x+y=192[/tex]

2) Solve the system of equations

Subtract equation 2 from equation 1 to cancel out y (elimination)

- [tex]3x+y=239\\2x+y=192[/tex]

⇒ [tex]3x-2x+y-y=239-192\\x=47[/tex]

Therefore, Natalie charges 47 dollars for 1 haircut.

Plug x back into one of the equations to solve for y

[tex]2(47)+y=192\\94+y=192[/tex]

Subtract both sides by 94

[tex]94+y-94=192-94\\y=98[/tex]

Therefore, Natalie charges 98 dollars for 1 colouring treatment.

I hope this helps!

Answer:

70 degrees

Step-by-step explanation:

Answer:

4/6

Step-by-step explanation:

Area of the triangle=1/2*base*height

height=12ft

base=24 ft

1/2*12*24

=144sq.ft is the area

He needs to purchase 144 sq.ft of wood to cover the front roof

Answer:

33

Step-by-step explanation:

5^2+2^3

25+2^3

25+8

33

Answer:

1st: 4

2nd: -16

Step-by-step explanation:

Trust the process

The required equation of the parallel line is 4x + y = 16.

Given that,
On a coordinate plane, a line goes through (negative 3, negative 3) and (negative 1, 5), what is the equation of the line parallel to the given line with an x-intercept of 4 is to be determined.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The slope of the parallel line,
m = 5 + 3 / -3 + 1
m = 8 / -2
m = -4
Now,
The line has the x-intercept at x = 4,
so the ordered pair will be (4,0)
Point-slope of the equation of the line is given by,
y - y₁ = m(x - x₁)
y - 0 = -4 (x - 4)
y = -4x + 16
4x + y = 16

Thus, the required equation of the parallel line is 4x + y = 16.

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Answer:

x=125

Step-by-step explanation:

To solve we must find a number that when divided by 5 equals 25.

To do this we can either...

Take each answer choice and plug in the value into the x spot and see if it works...

5/5=25  WRONG

10/5=25 WRONG

25/5=25 WRONG

125/5=25 CORRECT!

ORRR... we can set the equation so that the x is alone on one side.

To do this we can multiply both sides by 5

[tex]\frac{x}{5}[/tex]=25 ---> x=25×5

x=125

Answer:

I use ignitia too! ANd the other person is correct, i think..

Step-by-step explanation:

Answer:

$699.98

Step-by-step explanation:

Answer:

The total number of halves is 4 and the lines are considered as 1/4, 1/2 and 3/4.

Step-by-step explanation:

When both the strips are placed end to end the total number of halves is 4, 2 for each of the paper strips. Lines are as indicated in the figure attached.

Answer:

1. Area: 5963

2. Permiter: 312

3. perminter

4.Area

Step-by-step explanation:

Hi :D

Answer:

brandon

Step-by-step explanation:

Initially, there id 4 pints of green paint in the bucket.

As the green paint is made from equal amounts of yellow paint and blue paint, so, the initial amount of yellow and blue paint in the bucket  is 2 pint each.

Let x pints of yellow paint to be added to the bucket to make the desired shade.

Total amount of the paint in the bucket, after addition of  pints of yellow color become  pint, in which the ampunt of yellow color is  pints.

As, the ampunt of yellow color is 80% of the total amount of the mixture, so

So, 6 pints of yellow paint to be added to the bucket to make the desired shade.

Hence, Brandon is correct.

Answer:

d

Step-by-step explanation:

We can find percent by dividing savings by total earned. 28/350=8%

8%

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

Answer: Your answer in 840 cubic feets

Step-by-step explanation:

u solve the face on the bottom... base (10) times height (12) divide by two is 60. Then i multiply by the actual height which is 14 ft. 60 times 14 is 840.

If this helps plz mark me brainlest

Good luck :D

Answer:

bags of snack = x = 6

bottles of water = y = 5

Step-by-step explanation:

The system of equations can be used to determine how many of each item they bought.

20.00=2.50x+1.00y

11=x+y

how many bags of snack mix did they buy?

Let

bags of snack = x

bottles of water = y

20.00 = 2.50x + 1.00y (1)

11 = x + y (2)

From (2)

x = 11 - y

Substitute x = 11 - y into (1)

20.00 = 2.50x + 1.00y

20.00 = 2.50(11 - y) + 1.00y

20.00 = 27.5 - 2.50y + 1.00y

20.00 - 27.5 = -2.50y + 1.00y

-7.5 = -1.5y

y = -7.5/-1.5

y = 5

Substitute y = 5 into (2)

11 = x + y

11 = x + 5

11 - 5 = x

x = 6

bags of snack = x = 6

bottles of water = y = 5

Answer:

500cm²

Step-by-step explanation:

im not sure if im right plz can i get brainliest;)

Answer:

50 cm²

Step-by-step explanation:

All that needs to be done here is divide 1000 by 20 to get 50 cm² for the base.

Answer:

3^m x 3^n = 3^-3

All values for m and n, when m+n= -3.

m=1,n=-4;m=-1,n=-2......

Step-by-step explanation:

Step-by-step explanation:

heres tue answer. hope that helps

Answer:

x=5,y=6

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Answer:

20cm^3

Step-by-step explanation:

The figure is composed by two parallelepipeds

first one

base area = 2 x 1 = 2 cm^2

height = 3 + 2 = 5 cm

V = base area x height

V = 2 x 5 = 10cm^3

second one

base area = 2 x 1 = 2 cm^2

height = 7-2  = 5 cm

V = 2 x 5 = 10 cm^3

total volume = 10 x 2 = 20 cm^3

Answer:

1,346

Step-by-step explanation:

Remember that the Rise tests are only for your state. Different states have different tests. My state has the Peaks test.

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

18 : 63

Both have 9 in common

2 : 7

Option C is the correct answer

Option F is the correct answer

Answer:

The value of x is 3

Step-by-step explanation:

Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal

Thus, we have it that;

4.5/7.5 = x/5

5 * 4.5 = 7.5 * x

x = (5 * 4.5)/7.5

x = 3