PLEASE!!!
A survey asks a random sample of 2500 adults in Ohio if they support an increase in the state sales tax from 5.25% to 5.50%, with the additional revenue going to education. Let X denote the number in the sample that say they support the increase. Suppose that 30% of all adults in Ohio support the increase.

9. The standard deviation of X is

a. 22.91.

b. 27.39.

c. 5255.

d. 750.


10. The probability that X is at least 800 is

a. less than 0.0001.

b. about 0.015.

c. 0.025.

d. 0.05.

Answer:

A

Step-by-step explanation:

the area of square is 10²=100

Area of a circle is πr²=π(10/2)²=25π

100-25π=100-25*3.14=100-78.5=21.5

Step-by-step explanation:

Multiply 10 by 10, then find the area of the circle (78.54) then subtract, 100-78.54= 21.46. Then round. So its A. 21.5 meters squared

Answer:

230

Step-by-step explanation:

the angle 115 is half of that arc

Answer:

Q matches to a and P matches to b

Step-by-step explanation:

This is a volume question so we can use the volume of a cylinder to see which one corresponds to what.  Volume of a cylinder is [tex]\pi[/tex][tex]r^{2}[/tex]h.  We know that the heights of the cylinders are the same since the diagram says so.  We also know pi is the same since thats a constant.  The only thing thats different is the radius (as you can see radius of P is bigger than Q).  If the radius of P is bigger than Q and all the other things are the same (height is the same and pi is the same), then that automatically means that P has more volume than Q.  More volume means more time to fill up.  Since Q has less volume, it will take less time to fill up.  So now we look at the graph.  A shows that the height of water increases at a faster rate than that of B.  This is because there is less volume in that container (less volume=less time to fill up).  Therefore a matches to Q and therefore b matches to P

Answer:

x = 4 / 3, y = 7 / 3

Step-by-step explanation:

We are given the following system of equations;

{ 7x - y = 7,      ⇒        Let us multiply the first equation by 2,

x + 2y = 6 }

2 * ( 7x - y = 7 )  ⇒  14x - 2y = 14  ⇒  Now add the two equations

+ x + 2y = 6           + x  + 2y = 6                          

14x + x = 14 + 6 ⇒ Simplify

15x = 20,

x = 4 / 3 ⇒ Now substitute this value of x into the first equation to solve for the value of y,

7 * ( 4 / 3 ) - y = 7 ⇒ Simplify,

28 / 3 - y = 7,

y = 7 / 3

Solution; x = 4 / 3, y = 7 / 3

Answer: 1/8

Step-by-step explanation: there is 2 red and it says how many times can it spin on red twice 2/8

Give me brainly pls trust me 100% correct I’ve learned this already

Answer:

1/8

Step-by-step explanation:

Answer:

Step-by-step explanation:

l = 12 inches

w = 7 inches

h = 4.5 inches

Surface area = lw + 2wh + 2hl

                     = 12*7 + 2*7*4.5 + 2*4.5*12

                    = 84 + 63 + 108

                    = 255 square inches

If it is a closed box, surface area = 2*(lw +wh + hl)

As it is open, surface area = lw + 2wh + 2hl

Down part of the box : length *width

Upper part of the box = length*width

So, for closed box, 2lw

For open box , lw

Answer:

11,000 gallons

Step-by-step explanation:

Jeffs water bill = 28.50

Charge for water used = 28.50 - 12 = 16.50

Therefore number of gallons used = 16.50/1.50 x 1000 = 11,000 gallons

Answer:

[tex]\frac{AB}{A''B''} = \frac{1}{4}[/tex]

Step-by-step explanation:

Given the information:

<=> the two triangles are similar to each other, triangles are similar if they have the same shape, but can be different sizes, so  A″B″C″ is 4 time bigger than ABC

=> the relationship between ΔABC and ΔA″B″C″

= [tex]\frac{AB}{A''B''} = \frac{1}{4}[/tex]

We choose C.

Hope it will find you well.

Answer:

x=-4

x=-5

Step-by-step explanation:

Answer:

-4 or -5

Step-by-step explanation:

Well, you have to first understand variables a, b, and c. A in this equation is 1, b is 9, and c is 20. Then you plug those into -b ± sqrt (b^2-4ac)/2a and find that the discriminant, or what is under the square root, is one. Your two roots will be -4 and -5.

Answer:

7 3/4

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

x² - 4x - 5 = 0

x² - 5x + x - 5 = 0

x(x - 5) + (x -5) = 0

(x - 5)(x + 1) = 0

x - 5 = 0   ; x + 1 = 0

x = 5      ; x = -1

Answer:

What is the value of the discriminant of f?

0

How many x-intercepts does the graph of f?

1

Step-by-step explanation:

I promise you i just got this question and this is the answer

The discriminant of f is 0.

The function f has one intercept.

In the given quadratic function f(x) = 25x² - 10x + 1, the coefficients are:

a = 25

b = -10

c = 1

Now, let's calculate the discriminant:

Discriminant = b² - 4ac

            = (-10)² - 4 x 25 x 1

            = 100 - 100

            = 0

The value of the discriminant of f is 0.

If the discriminant is positive (greater than 0), the quadratic equation has two distinct real roots, which means the graph intersects the x-axis at two different points.

If the discriminant is zero, the quadratic equation has one real root, and the graph touches the x-axis at one point (or has a double root).

If the discriminant is negative, the quadratic equation has no real roots, and the graph does not intersect the x-axis.

In this case, since the discriminant is 0, the graph of f has one x-intercept (or one real root).

Learn more about Discriminant here:

https://brainly.com/question/33365847

#SPJ2

Answer:

y=2x+1

Step-by-step explanation:

sketch it with each line answer choice and look at which one is closest to all the points.

Answer:Yes

Step-by-step explanation:

Answer:

a) Area of the base of the pyramid = [tex]15.6\ mm^{2}[/tex]

b) Area of one lateral face = [tex]24\ mm^{2}[/tex]

c) Lateral Surface Area = [tex]72\ mm^{2}[/tex]

d) Total Surface Area = [tex]87.6\ mm^{2}[/tex]

Step-by-step explanation:

We are given the following dimensions of the triangular pyramid:

Side of triangular base = 6mm

Height of triangular base = 5.2mm

Base of lateral face (triangular) = 6mm

Height of lateral face (triangular) = 8mm

a) To find Area of base of pyramid:

We know that it is a triangular pyramid and the base is a equilateral triangle. [tex]\text{Area of triangle = } \dfrac{1}{2} \times \text{Base} \times \text{Height} ..... (1)\\[/tex]

[tex]{\Rightarrow \text{Area of pyramid's base = }\dfrac{1}{2} \times 6 \times 5.2\\\Rightarrow 15.6\ mm^{2}[/tex]

b) To find area of one lateral surface:

Base = 6mm

Height = 8mm

Using equation (1) to find the area:

[tex]\Rightarrow \dfrac{1}{2} \times 8 \times 6\\\Rightarrow 24\ mm^{2}[/tex]

c) To find the lateral surface area:

We know that there are 3 lateral surfaces with equal height and equal base.

Hence, their areas will also be same. So,

[tex]\text{Lateral Surface Area = }3 \times \text{ Area of one lateral surface}\\\Rightarrow 3 \times 24 = 72 mm^{2}[/tex]

d) To find total surface area:

Total Surface area of the given triangular pyramid will be equal to Lateral Surface Area + Area of base

[tex]\Rightarrow 72 + 15.6 \\\Rightarrow 87.6\ mm^{2}[/tex]

Hence,

a) Area of the base of the pyramid = [tex]15.6\ mm^{2}[/tex]

b) Area of one lateral face = [tex]24\ mm^{2}[/tex]

c) Lateral Surface Area = [tex]72\ mm^{2}[/tex]

d) Total Surface Area = [tex]87.6\ mm^{2}[/tex]

Answer:

Sample answer A triangular pyramid with an equilateral triangle for a base has four faces the equilateral triangular base and

three congruent isosceles triangular faces

Step-by-step explanation:

Answer:

The range of x values for which y is unique is 2·π

Step-by-step explanation:

For a function j: X → Y to be invertible, we have that for every y in Y, there is associated only one x which is an element of x

Hence, f(x) = cos(x - π/4) gives

the x intercept at two penultimate points of the graph of cos(x - π/4) are;

x = 2.36, and x = 8.64

x = 3/4·π, and x = 2.75·π = [tex]2\tfrac{3}{4}\cdot \pi[/tex]

Hence the range of x values for which y is unique is presented as follows

[tex]2\tfrac{3}{4}\cdot \pi - \frac{3}{4}\cdot \pi = 2}\cdot \pi[/tex]

The range of x values for which y is unique = 2·π.

Answer:

Interval for the function has local minimum of 0 is [2,4].

Step-by-step explanation:

You need to find the local minimum of 0 in the given function's graph.

In mathematics, local minimum is a point on a graph whose value is less than all other points near it.

See that, graph value 0 is lie on the x = 3 and in interval x = 2 to x = 4

So, final answer is :

Interval for the function has local minimum of 0 is [2,4].That's the final answer.

hope it helps

Answer: D

Step-by-step explanation:

2,4

Answer:

40

Step-by-step explanation: 13 + 6 + 15 + 6 = 40 ( : - ]

Answer:

the first one

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The y axis or interval (0,Infinity) is forever going more lower and the x is forever going to the negatives

Answer:

C

Step-by-step explanation:

Let's say Abudal's score = x.

We can do,

3x + x + x + 5 = 45

5x = 45

x = 8.

That means Abdul's scored 8 points, meaning Kendall scored 24,(8*3), and that Otis scored 13, since 8 + 5 = 13.

Answer:

10 sqrt(3) + 2 sqrt(5)

Step-by-step explanation:

2√75+ √20

We know sqrt(a*b) = sqrt(a) sqrt(b)

2 sqrt(25*3) + sqrt(4*5)

2 sqrt(25)sqrt(3) + sqrt(4) sqrt(5)

2 * 5sqrt(3) + 2 sqrt(5)

10 sqrt(3) + 2 sqrt(5)

Answer:

1176 cm3

Step-by-step explanation:

Answer:

52.6

Step-by-step explanation:

If you drew the triangle correctly, NO would be the hypotenuse (39), PO would be a leg of the triangle(31) and the other leg NP is unknown (we dont need to care about that too much).  To find angle N, we can use trig.  We can use sin to figure this out since we are given a side opposite to angle N and we are given the hypotenuse.  (sin=opposite/hypotenuse).  However, since we are trying to figure out the angle, we have to use arc sin or [tex]sin^{-1}[/tex] on the calculator.  So if we type [tex]sin^{-1}[/tex](31/39), we get 52.6

I can explain more if you dont understand

Answer:

23

Step-by-step explanation:

Answer:

Downwards

Step-by-step explanation:

Suppose you have the quadratic equation, [tex]ax^2 +bx+c[/tex], if a is positive, the parabola opens upwards. If a is negative, the parabola opens downwards.

Answer:

It could be 2:5 or 6pi:15pi

Step-by-step explanation:

If you write the ratio of the surface area as a fraction, you would get [tex]\frac{20\pi *yd^{2} }{125\pi *yd^{2} }[/tex]. Simplifying it would leave [tex]\frac{4}{25}[/tex]. But this is NOT the answer because that is the ratio of the surface area. You have to square root it to find the scale factor. The square root is [tex]\frac{2}{5}[/tex]. The answers would be 2:5 and 6pi:15pi.

Answer:

6π : 15π

2 : 5

a. Okay, so you multiply the 4.7 and 2.9 together, and then add the exponents

13.63 * 10^10

But we are not done. There can only be one digit in front of the decimal point. So, you move the 13.63 back one place so 1.363. But we have to do this to both sides, so the answer is 1.363 * 10^11.

b. Now you divide the 5.8 and 2, and subtract the exponents.

2.9 * 10^-5

The negative exponent is fine in this case if you were wondering.

c. Expand the scientific notation to 1500, then add the 2491 and then put that in scientific notation is what I would do. You can also express 2491 in scientific notation and add them. Either way you will get 3.991 * 10^3

d. Same thing here except with subtraction. The answer is 6.5 * 10^-4.

This was a little long, sorry. Let me know if you need further explanation. I hope this helps.

Answer:

It is C because when they multiply by 3 the equations are the same

Step-by-step explanation:

Answer:

y=-3x+9 (D)

Step-by-step explanation:

Answer:

48 degrees

Step-by-step explanation:

A triangles degrees all add up to 180

so

180-90= 90 (90 is a square corner)

90-42= 48 (42 is the other known degree)

Answer:

G ≈ 1.46

Step-by-step explanation:

Given

G = [tex]\frac{R+ab}{at}[/tex] , substitute values

G = [tex]\frac{257 4.88(37.4)}{4.88(61.5)}[/tex]

   = [tex]\frac{257+182.512}{300.12}[/tex]

   = [tex]\frac{439.512}{300.12}[/tex] ≈ 1.46 ( to 2 dec. places )

Answer:

Step-by-step explanation:

Hank paid $2,000 upfront when he bought his car, and he pays $200 each month.

This relationship is:  

This is not proportional.

Lynn did not pay any money upfront when she bought her car, and she pays $275 each month.

This relationship is:  

This is proportional.

So the answer is: