Factor the polynomial expression 8x^3-1

Answer:

Step-by-step explanation:

Given that:

There are 96 automobile accident fatalities in Connecticut and 44 were alcohol related.

The null hypothesis and the alternative hypothesis for this study can be computed as:

[tex]H_o: P =0.39 \\ \\ H_1:P> 0.39[/tex]

The sample proportion [tex]\hat p[/tex]= 44/96 = 0.45833

Using the Z formula for a single proportion test, we get;

[tex]Z = \dfrac{\hat p - P }{\sqrt\dfrac{{P(1-P)}}{{n}}}[/tex]

[tex]Z = \dfrac{0.45833 - 0.39 }{\sqrt\dfrac{{0.39(1-0.39)}}{{96}}}[/tex]

[tex]Z = \dfrac{0.06833 }{\sqrt\dfrac{{0.39(0.61)}}{{96}}}[/tex]

[tex]Z =1.37[/tex]

The p-value = 1 -P(Z< 1.37)

The p-value = 1 - 0.9147

The p-value = 0.0853

At the level of significance (∝) 0.05 ;

Since p-value is greater than level of significance (∝);  we accept the null hypothesis and conclude that there is no sufficient evidence to say that higher percentage of alcohol is related to automobile fatalities.

Answer:

The answer is 3/20 or 0.15 as a decimal.

Step-by-step explanation:

Answer:

d = 1

Step-by-step explanation:

-12d - 6 = -2 (d + 3) - 10d

-12d - 6 = -2d - 6 - 10d

-12d - 6 = -12d - 6

-12d = -12d

d = d = 1

Answer:

d. 7 and 16; 8 :14,4:7 and 16:28.

Answer:

D. 7 and 16; 8 : 14, 4 : 7, and 16 : 28

Step-by-step explanation:

1. the first ratio for 8 and 14 is 4 : 7. so that would eliminate the first two answer choices.

2. since the ratio is 4 : 7, that would mean the second value for buses is 7 because the second value for taxis is 4. and the second values for both taxis and buses would be equal to the ratio.

3. 28 is the third value for the bus. and since the ratio is 4 : 7, you have to find the value that 7 can be multiplied by to get 28. 7 multiplied by 4 is 28. you also have to multiply the first number of the ratio (4) by 4. and the product would be 16.

4. So the final answer is D.

Answer:

39 degrees

Step-by-step explanation:

Subtract 90 (for the right angle) and 51 (the given angle) from 180, since all angles in a triangle add up to 180.

180-90-51 = 39

Answer:

I think the answer is 39 degrees

Step-by-step explanation:

Answer:

x=45

Step-by-step explanation:

weights and routes

weights and routes

weights and routes

VvvvVV

The amount of snow on the ground when the storm started is the y- intercept of graph which is 5 inches.

The y- intercept of a graph gives the value y when the value of x = 0.

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Answer:

The answer is B

Step-by-step explanation:

Answer:

B. 8.3 with the bar on the 3

Step-by-step explanation:

B because the decimal of 5/6 is 8.3333333 and so on to represent the repeating and endless 3 put a bar on the 3.

Answer:

she would have 30 apples!

Step-by-step explanation:

since each bag weighs 5 pounds, and she needs 10 pounds of apples, she needs to buy two bags. if each bag contains 15 apples and she buys two bags, 15x2=30. hope this helps!

Answer:

56

Step-by-step explanation:

210 divided by 15 to get how many sets of 15 in the tank which is 14, then multiply 14 by 4 to get the gallon equivalent.

Answer:

FALSE

Step-by-step explanation:

For two triangles to be considered congruent to each other, their corresponding angles and their corresponding side lengths must be congruent to each other. That is all the sides and angles of one triangle must be equal to all the corresponding sides and corresponding angles of the other.

Therefore, knowing that two traingles have corresponding angles that are equal is not enough to conclude that they are congruent. It simply means they have the same shape, but may not have the same size, as their corresponding sides may vary.

Thus, the statement, "Two triangles with corresponding congruent angles are congruent" is FALSE.

Answer: 0x+7y=4

horizontal line

Answer:

_ (repeating)

3. d=3.16

4. v=1.4

5. b=3

Step-by-step explanation:

Answer:

3) d= 1.9

4) v= 1.4

5) b= 6

Step-by-step explanation:

On 3, you divide the 5 to have the D be alone

same thing with 4

On 5, you add the -3 to the other side to keep numbers together, and the -3 becomes positive

Answer:

55 miles

Step-by-step explanation:

If you are looking for the unit rate, that means you are looking for the amount of miles in one hour.     miles/hours is how you would solve this equation.  165/3=55 miles in one hour. Hope this helps!

The Unit Rate of 165 miles in 3 hours is 55 miles.

Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.

here, we get,

165 miles in 3 hours

i.e. in 1 hour = 165/3

                    =55miles

If you are looking for the unit rate, that means you are looking for the amount of miles in one hour.    

miles/hours is how you would solve this equation.

165/3=55 miles in one hour.

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Answer:

2,-2,-6,-10

Step-by-step explanation:

hope this helps

y=(−4)(−1)−2

y=2

y=(−4)(0)−2

y=−2

y=(−4)(1)−2

y=−6

y=(−4)(2)−2

y=−10

Answer:

He would need 2/4 gallon... if not then sorry

Step-by-step explanation:

Answer:

50

Step-by-step explanation:

Hope this helps!

Answer:

1.3

Step-by-step explanation:

4 divided by 3 is 1.33333 and so on

Answer:

11x

Step-by-step explanation:

Follow PEMDAS

Parenthesis

(8.1 + 7.9) = 16

(25 / 5) = 5

Multiply

16 * x = 16x

5 * x = 5x

Subtract

16x - 5x = 11x

Answer:

5 (n - 3) = 12

Step-by-step explanation:

5 (n - 3) = 12

Answer:

n=98

Step-by-step explanation:

i think but don't get mad at me if I get it wrong

Answer:

90-54w

i think this is the answer.

Answer:

c i think

Step-by-step explanation:

Answer:

your answer is 1 because if you graph your equation and count the slope you get one

hope this helps

Answer:

The graph to in the top right

Graph B, represents the situation.

A linear function is a function which forms a straight line in a graph. It is generally a polynomial function whose degree is utmost 1 or 0.  Although the linear functions are also represented in terms of calculus as well as linear algebra. The only difference is the function notation. Knowing an ordered pair written in function notation is necessary too. f(a) is called a function, where a is an independent variable in which the function is dependent. Linear Function Graph has a straight line whose expression or formula is given by;

                                            y = f(x) = p x + q

Given linear function:

y = 15x

where y is distance in miles

x is time in hours.

putting the value (4,60) in given linear function,

y = 15x

⇒ 60 = 15 × 4

⇒ 60 = 60

Hence, by the above observation, Graph B represents the linear function, y = 15x.

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Answer:

The area of the rectangle can be found using two different expressions: a(b + c) or ab + ac. The equality of these expressions, a(b + c) = ab + ac, is the distributive property.

The expression that shows the length and width of the rectangle in distributive format is 3(x + 5) = 3x + 15 and this can be determined by using the distributive property.

Given :

A rectangle with length x plus 5 and width 3.

The distributive property is given by:

a(b + c) = ab + ac

The above expression is known as the distributive property. Where a, b, and c represents the three different variables.

So, according to the given data, the length of the rectangle is (x + 5) and the width of the rectangle is 3.

The expression shows the length and width of the rectangle in distributive format.

3(x + 5) = 3x + 15

The above expression also represents the area of the rectangle.

Therefore, the correct option is C).

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Answer:

3 socks

Step-by-step explanation:

Given that, there are 10 red socks and 10 blue socks which are mixed up in the dresser drawer.

The socks are identical except the color.

We need to find out, the minimum number of socks to be taken out from the dark room so that there is at least a pair of matching socks comes out of the drawer.

Let us consider the cases:

First Two socks pulled out of the drawer.

Case 1: Both are red or both are blue.

In this case, the matching pair is ready.

But there can be other case as well.

Case 2:

One red and one blue color taken out.

Now, when we pull the third, there will be either red or blue.

That will make a pair.

Therefore, to cover up all the cases and to be certain to get a matching pair out of the drawer, at least 3 socks must be taken out.

So, the answer is:

We need to take out at least 3 socks.

The number of socks that determines a matching pair is an illustration of probabilities

The smallest number of socks is 3

The number of socks is given as:

[tex]\mathbf{Red = 10}[/tex]

[tex]\mathbf{Blue = 10}[/tex]

There are two colors of socks in the drawer

This is represented as:

[tex]\mathbf{n = 2}[/tex]

So, the smallest number of socks to determine matching pair is

[tex]\mathbf{Smallest = n + 1}[/tex]

Substitute 2 for n

[tex]\mathbf{Smallest = 2 + 1}[/tex]

Add

[tex]\mathbf{Smallest = 3}[/tex]

Hence, the smallest number of socks is 3

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