Solvex + 3 = −6.

Find F(5) for the polynomial function below. F(x)=4x³-12x² + 3x-3

Serga [27]

Answer:

can you give me some hint.

6 0

2 years ago

The distribution of the number of viewers for the American Idol television show follows a normal distribution with a mean of 26

hjlf

Answer:

Probability that next week's show will have between 30 and 37 million viewers is 0.2248.

Step-by-step explanation:

We are given that the distribution of the number of viewers for the American Idol television show follows a normal distribution with a mean of 26 million with a standard deviation of 8 million.

Let X = number of viewers for the American Idol television show

So, X ~ N( $\mu=26,\sigma^{2}=8^{2}$ )

Now, the z score probability distribution is given by;

Z = $\frac{X-\mu}{\sigma}$ ~ N(0,1)

where, $\mu$ = population mean = 26 million

$\sigma$ = standard deviation = 8 million

So, probability that next week's show will have between 30 and 37 million viewers is given by = P(30 < X < 37) = P(X < 37) - P(X $\leq$ 30)

P(X < 37) = P( $\frac{X-\mu}{\sigma}$ < $\frac{37-26}{8}$ ) = P(Z < 1.38) = 0.91621

P(X $\leq$ 30) = P( $\frac{X-\mu}{\sigma}$ $\leq$ $\frac{30-26}{8}$ ) = P(Z $\leq$ 0.50) = 0.69146

Therefore, P(30 < X < 37) = 0.91621 - 0.69146 = 0.2248

Hence, probability that next week's show will have between 30 and 37 million viewers is 0.2248.

4 0

3 years ago

How would I solve this and where would I put the dots?

Maslowich

Step-by-step explanation:

You would solve it by turning it into a equation and solving it. You would place the dots on the graph and put them in the points where they are supposed to go.

8 0

3 years ago

7. The following clues are given about a bucket of bubble gum.

scZoUnD [109]

There were 472 pieces of bubble gum in the bucket

Step-by-step explanation:

The following clues are given about a bucket of bubble gum

1. There are between 400 - 500 pieces of gum in the bucket

2. The bubble gum was purchased in 4 equally-sized bags

3. The product of all the digits is 56

Let us explain how to solve the problem

∵ The number of the pieces of gum is between 400 and 500

∴ The number of pieces is 3-digit number and its hundred digit is 4

∵ The product of all digits is 56

∵ One of the digit is 4

∵ 56 ÷ 4 = 14

∴ The product of the ten digit and the one digit is 14

∵ 14 = 2 × 7

∴ The ten digit and the one digit are 2 and 7 or 7 and 2

- If the ten digit is 2 and the one digit is 7

∴ The number of pieces is 427

∵ The bubble gum was purchased in 4 equally-sized bags

- That means there were 4 pieces of bubble gum in each bag

∴ The number of pieces must divisible by 4

- The number is divisible by 4 if it is an even number and the number

formed from the ten digit and one digit is divisible by 4

∵ 427 is an odd number

∴ 427 not divisible by 4

- If the ten digit is 7 and the one digit is 2

∴ The number of pieces is 472

∵ 472 is an even number

∵ 72 divisible by 4

∴ 472 is divisible by 4

∴ There are 472 pieces of gum in the bucket

There were 472 pieces of bubble gum in the bucket

Learn more:

You can learn more about digits in brainly.com/question/547255

#LearnwithBrainly

7 0

3 years ago

A car travels 17 miles on one gallon of gas

zmey [24]

When x =170, y =10, when x = 187, y = 1, when x = 204, y = 12, when x = 221, y = 13, when x = 238, y = 14, when x = 255, y = 15, when x = 272, y = 16, when x = 289, y = 17, when x = 306, y = 18, when x = 323, y = 19, when x = 340, y = 20,

Step-by-step explanation:

Step 1; Assume y is the gallons in the tank while x is the range of the car. We need to determine the equation relating the y to the x values in the given coordinates. x is the dependent value whereas y is the independent value i.e. the value of x depends on the value of y.

Step 2; As y increases, x also increases. For every extra gallon in the tank, the car can go another 17 miles. So with y as the amount of gas in the tank in gallons and x as the range of vehicle, we get;

x = 17y, this represents the relation between x and y.

To find the gallons in the tank, y = $\frac{x}{17}$ ,

For x = 170, y = $\frac{170}{17}$ = 10,

Similarly equating the values we get that when x = 187, y = 11,

when x = 204, y = 12,

when x = 221, y = 13,

when x = 238, y = 14,

when x = 255, y = 15,

when x = 272, y = 16,

when x = 289, y = 17,

when x = 306, y = 18,

when x = 323, y = 19,

when x = 340, y = 20,

8 0

2 years ago