Kevin was playing a trivia game. For each correct answer he scored 1 1 / 2 points. For each incorrect answer he scored - 1 / 2 point. What was his final score if he got 8 correct and 3 incorrect?

Answer:

The vertex is (-1, 4), the domain is all real numbers, and the range is y less than 4

Step-by-step explanation:

Given

[tex]f(x) = -(x+1)^2 + 4[/tex]

Solving (a): The vertex;

Assume the general form of a function is

[tex]f(x) = a(x-h)^2+k[/tex]

The vertex is determined by [tex](h,k)[/tex]

By comparison, we have:

[tex]-h = 1[/tex]

Solve for h, we have:

[tex]h = -1[/tex]

[tex]k = 4[/tex]

So, the vertex is:

[tex](h,k) = (-1,4)[/tex]

The domain; x is all real numbers

From the function;

[tex]f(x) = -(x+1)^2 + 4[/tex]

This can be rewritten as:

[tex]f(x) = 4 - (x+1)^2[/tex]

This implies that:

Whatever the value of [tex](x + 1)^2[/tex] is, it will be subtracted from 4 to give y or f(x);

Hence:

y is less than 4

Option B answers the question

Answer:

id say -1 though not enough details

Step-by-step explanation:

Step-by-step explanation:

a. true

property: identity

b. false

property: communitive

c. true

associative

d. false

property: multiplication property of zero

Answer:

x = 39

Step-by-step explanation:

A circle is made up of 360 degrees

235+ 54+ x+32 = 360

Combine like terms

x+321=360

Subtract 321 from each side

x+321-321 = 360-321

x = 39

Answer:

60

Step-by-step explanation:

it is because 360-(120+85+95)

Answer:

c is the answer young flyyy

Step-by-step explanation:

Answer:

hhaaaaaaaaaaaahhhhhhhhaaaaaaaaaaaaaaas

Step-by-step explanation:

[tex]given \: that \ :[/tex]

[tex]x = 8[/tex]

[tex]then \:12 - x \: will \: be \: :[/tex]

[tex]12 - 8[/tex]

[tex] = 4[/tex]

[tex]∴ \: 12 - 8= 4 [/tex]

Answer:

The result of 12-x when x=8, is 4

Step-by-step explanation:

Numerical Evaluation

Evaluate an algebraic expression means substituting the variables present in the expression by their respective numerical values, operate and report the result.

The given expression is

12 - x

Substituting x = 8, we get:

12 - 8 = 4

The result of 12-x when x=8, is 4

Answer:

c. the sampling distribution of the sample mean will be approximately normally distributed as long as the sample size is sufficiently large

Step-by-step explanation:

The law of large numbers is a statistical law, that states : As sample size grows, the sample mean tends to go closer to whole population mean.

So, the sampling distribution of the sample mean will be approximately normally distributed as long as the sample size is sufficiently large

Answer:  2/3 = b/ac = d/e

Step-by-step explanation:

This is all I got if I got it right. Is this one of your answers?

Answer:

a= 2

b=4

c=3

d=2

e=3

Step-by-step explanation:

i hope this helps.

Answer:

LCM mean least common multiple

Step-by-step explanation:

The red sticks in a pack of 8 so, to get 24 red sticks, Harold needs = 3 packs. The blue sticks come in a pack of 12 to get 24 blue sticks, Harold need = 2 pack

Answer:

the LCM represents the minimum number of sticks of each color that Harold would have to buy to have the same number of blue sticks and red sticks.

The red sticks come in packs of 8. So, to get 24 red sticks Harold need 3 packs.

The blue sticks come in packs of 12, so to get to 12 blue sticks Harold needs 2 packs.

in conclusion Harold should purchase 3 packs of red sticks and 2 packs of blue sticks.

hope this helped ^^

Answer:

$136.

Step-by-step explanation:

Divide how much they made by the # of hours. 306/18=17. Multiply the amount per hour 17 by the 8 hours of work. 17x8=136.

Answer:

13.46

Step-by-step explanation:

The correct response is 13.46.

Since 9 is greater than 5, we replace the 5 in the hundreths place with a 6.

Answer:

O {}, {Lennon}, {McCartney}, {Lennon, McCartney}

Step-by-step explanation:

Both the empty set and the total set are subsets of the given set.

Hence there are 4 subsets.

Answer:

O {}, {Lennon}, {McCartney}, {Lennon, McCartney}

Step-by-step explanation:

Answer:

A.3

Step-by-step explanation:

Complete Question

According to a survey, 74% of households said that they have never purchased organic fruits or vegetables. Suppose that this result is true for the current population of households. a. Let x be a binomial random variable that denotes the number of households in a random sample of 10 who have never purchased organic fruits or vegetables. What are the possible values that x can assume? Integers to . b. Find to 3 decimal places the probability that exactly 6 households in a random sample of 10 will say that they have never purchased organic fruits or vegetables. Use the binomial probability distribution formula. Probability

Answer:

a

The possible value of x is 0, 1 ,2,3,4,5,6,7,8,9,10

b

[tex]P(X = 6) =   0.158 [/tex]

Step-by-step explanation:

From the question we are told that

 The proportion that stated that they have not purchased organic fruits or vegetables is [tex]p =0.74[/tex]

   The sample size is  n = 10

The possible value x can take is  0, 1 ,2,3,4,5,6,7,8,9,10

Generally the probability that exactly 6  households in a random sample of 10 will say that they have never purchased organic fruits or vegetables is mathematically represented as

      [tex]P(X = 6) =  ^nC_6 * p^{6}* (1-p)^{n-6}[/tex]

Here C denotes combination

So

        [tex]P(X = 6) =  ^{10}6 * (0.74)^{6}* (1-0.74)^{10-6}[/tex]

=>    [tex]P(X = 6) =   0.158 [/tex]

Answer:

C ( 27, 4 )  number of ways

Step-by-step explanation:

number of coins in piggy bank = 23

x1 = number of pennies

x2 = number of nickels

x3 = number of dimes

x4 = number of quarters

x5 = number of half dollars

The required condition = 23

The required different combinations can be represented as

=  C ( 5 + 23 - 1 , 23 ) = C ( 27 , 23 )

                                  = C ( 27, 4 )

This is because :( C ( n, r ) = C (n, n-r ))

Answer:

5(-3)^2+7

Step-by-step explanation:

Answer:

5(-3)^2+7

Step-by-step explanation:

please this is my true answer dont judge me please..thank...

Answer:

-15--14/1 +-9x-11

-15+14+99

-1+99

98

Answer:

There is 5/8 left for Mohamed to eat.

Step-by-step explanation:

Let's put everything into fractions of 1/8. knowing that 25% is 1/4 or 2/8, 1/8 + 2/8= 3/8. and to find the answer, you need to subtract 3/8 from 8/8 or 1.

As a result, 5/8.

1/8 = 12.5%

12.5% + 25% = 37.5%

We need to know how much is left.

37.5% is gone, so 100% - 37.5% = 62.5%

62.5% is left for Mohamed to eat.

62.5% = 5/8.

5/8 of a pizza is left for mohamed to eat.

Answer:

1/4

Step-by-step explanation:

9 divide by 18= 1/4

Answer:V = 72.1 cm³ - 50.0 cm³ = 22.1 cm³

D = mV=99.7g22.1cm³ = 4.51 g/cm³

Step-by-step explanation:

d = mV

m = d×V

V = md

DENSITY

Density is defined as mass per unit volume.

d = mV

Example:

A brick of salt measuring 10.0 cm x 10.0 cm x 2.00 cm has a mass of 433 g. What is its density?

Step 1: Calculate the volume

V = lwh = 10.0 cm × 10.0 cm × 2.00 cm = 200 cm³

Step 2: Calculate the density

d = mV = 433g200cm³ = 2.16 g/cm³

MASS

d = mV

We can rearrange this to get the expression for the mass.

m = d×V

Example:

If 500 mL of a liquid has a density of 1.11 g/mL, what is its mass?

m = d×V = 500 mL × 1.11g1mL = 555 g

VOLUME

d = mV

We can rearrange this to get the expression for the volume.

V = md

Example:

What is the volume of a bar of gold that has a mass of 14.83 kg. The density of gold is 19.32 g/cm³.

Step 1: Convert kilograms to grams.

14.83 kg × 1000g1kg = 14 830 g

Step 2: Calculate the volume.

V = md = 14 830 g × 1cm³19.32g = 767.6 cm³

2/3x+6 = 8

subtract 6 from both sides

2/3x = 2

divide both sides by 2/3

x = 3

Answer:

x = 3

Step-by-step explanation:

Multiply both sides of the equation by 3

2x + 18 = 24

Move Constant to the right-hand side and change its sign

2x = 24 - 18

Subtract the numbers

2x = 6

Divide both sides of the equation by 2

x = 3

Solution

x = 3

Answer and explanation:

Please find attached

Answer:

K What's the problem?

Step-by-step explanation:

Answer:

2.30 is going to be your anwer

Step-by-step explanation: