Find all x-intercepts of the function. Express your answer as a list of x-values
f(x) = x^3+x^2+x-1

Answer:

Your answer is 96.5606 Kilometers.

Step-by-step explanation:

1.609 x 60 = 96.5606

Mark as brainliest if it's correct!

Answer:

96.5606kms

Step-by-step explanation:

Answer:

(a)  0.2033

(b)  0.0188

(c)  0.0004

(d)  0.095

Step-by-step explanation:

(a) the probability that a score at random is greater than 110 is obtained with a normal distribution of mean 100 and standard deviation 12 can be estimated using the z-table for Z = (110 -  100)/12 = 0.83

So P (X > 110) = P (Z > 0.83) = 0.2033

(b) Probability that a sample of 25 scores will have a mean greater than 105:

we use a standard distribution with the same mean (100) but the standard distribution reduced by a factor of [tex]\sqrt{25} = 5[/tex]. That is a standard deviation of 12/5 = 2.4. which gives a Z-value of (105-100) / 2.4 = 2.08

P (X> 105) = P (Z > 2.08) = 0.0188

(c) Probability that a sample of 64 scores will have a mean greater than 105:

we use a standard distribution with the same mean (100) but the standard deviation reduced by a factor of [tex]\sqrt{64} = 8[/tex]. That is a standard deviation of 12/8 = 1.5. which gives a Z-value of (105-100) / 1.5 = 3.33

P (X> 105) = P (Z > 3.33) = 0.0004

(d) the probability that the mean of a sample of 16 scores will be either less than 95 or greater than 105

This will be the addition of the two probabilities. We use a standard distribution with the same mean (100) but the standard distribution reduced by a factor of [tex]\sqrt{16} = 4[/tex]. That is a standard deviation of 12/4 = 3. which gives us two different Z values to study:

(105-100) / 3 = 1.67

and for X= 95 ==> Z = (95 - 100)/3 = - 1.67

P (X > 105) = P (Z > 1.67) = 0.0475

P (X < 95) = P (Z < -1.67) = 0.0475

which add up to: 0.095.

Using the normal distribution and the central limit theorem, it is found that there is a:

a) 0.2033 = 20.33% probability that a single score drawn at random will be greater than 110.

b) 0.0188 = 1.88% probability that a sample of 25 scores will have a mean greater than 105.

c) 0.0004 = 0.04% probability that a sample of 64 scores will have a mean greater than 105.

d) 0.095 = 9.5% probability that the mean of a sample of 16 scores will be either less than 95 or greater than 105.

In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In this problem:

Item a:

This probability is 1 subtracted by the p-value of Z when X = 110, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{110 - 100}{12}[/tex]

[tex]Z = 0.83[/tex]

[tex]Z = 0.83[/tex] has a p-value of 0.7967.

1 - 0.7967 = 0.2033

0.2033 = 20.33% probability that a single score drawn at random will be greater than 110.

Item b:

Sample of 25, hence [tex]n = 25, s = \frac{12}{\sqrt{25}} = 2.4[/tex].

This probability is 1 subtracted by the p-value of Z when X = 105, hence:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{105 - 100}{2.4}[/tex]

[tex]Z = 2.08[/tex]

[tex]Z = 2.08[/tex] has a p-value of 0.9812.

1 - 0.9812 = 0.0188

0.0188 = 1.88% probability that a sample of 25 scores will have a mean greater than 105.

Item c:

Sample of 64, hence [tex]n = 64, s = \frac{12}{\sqrt{64}} = 1.5[/tex].

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{105 - 100}{1.5}[/tex]

[tex]Z = 3.33[/tex]

[tex]Z = 3.33[/tex] has a p-value of 0.9996.

1 - 0.9996 = 0.0004

0.0004 = 0.04% probability that a sample of 64 scores will have a mean greater than 105.

Item d:

Sample of 16, hence [tex]n = 16, s = \frac{12}{\sqrt{16}} = 3[/tex].

Both 105 and 95 are the same distance of the mean, so we find one probability, and multiply by 2.

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{105 - 100}{3}[/tex]

[tex]Z = 1.67[/tex]

[tex]Z = 1.67[/tex] has a p-value of 0.9525.

1 - 0.9525 = 0.0475.

2 x 0.0475 = 0.095

0.095 = 9.5% probability that the mean of a sample of 16 scores will be either less than 95 or greater than 105.

A similar problem is given at https://brainly.com/question/24663213

Answer:

The First Table

Step-by-step explanation:

The y-values increase inconsistently, while the other tables are constant.

Answer:

.68.0314 m/s

.42.272752125mph

68.0314km/h

Step-by-step explanation:

Answer:

0.60

Step-by-step explanation:

In the category of pets

22 students had a cat = P(C)

17 students had a dog = P(D)

9 students had both a dog and a cat = P(C and D)

The formula to find the Probability of two events =

P(C or D) = P(C) + P(D) - P(C and D)

P(cat or dog) = P(cat) + P( dog) - P(cat and dog)

P(cat or dog) = 22/50 + 17/50 - 9/50

P(cat or dog) = 0.44 + 0.34 - 0.18

P(cat or dog) = 0.60

The probability the student will have a dog or a cat is 0.60

Answer: 42

Step-by-step explanation:

Example:

Solve x + 7 < 15

Solution:

x + 7 < 15

x + 7 – 7 < 15 – 7

x < 8

Inequalities Of The Form “x – a < b” or “x – a > b”

The solution of the inequality 1 1/8 + b ≥ 7/16 will be;

⇒ - 11/16 ≤ b

What is Inequality?

A relation by which we can compare two or more mathematical expression is called an inequality.

Given that;

The inequality is,

⇒ 1 1/8 + b ≥ 7/16

Now,

Solve the inequality as;

The inequality is,

⇒ 1 1/8 + b ≥ 7/16

Solve for b as;

⇒ 9/8 + b ≥ 7/16

Subtract 9/8 as,

⇒ 9/8 + b - 9/8  ≥ 7/16 - 9/8

⇒ b ≥ (7 - 18) / 16

⇒ b ≥ - 11/16

⇒ - 11/16 ≤ b

Thus, The solution of the inequality 1 1/8 + b ≥ 7/16 will be;

⇒ - 11/16 ≤ b

Learn more about the inequality visit:

https://brainly.com/question/24372553

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Answer:

I think i would be c or a but im not sure

step-by-step explanation:

Answer:

i believe your answer is 550 people, which would be 110/hr

Step-by-step explanation:

Hope that helps!

Answer:

Step-by-step explanation:

Q 4. (25m + 25m) ÷ 25 sec. = 2 m/sec.

Q 5. This question belongs to Physics and not Mathematics!!!

Wavelength (lambda) = Velocity (v) ÷ Frequency ( [tex]sec^{-1}[/tex] or Hz )

f = v / (lambda)

f = 3 / 2 = 1.5 (Hz)

Q 6. 0.060 ÷ 2 = 0.030 m

Answer: The answer is f= –31 1/3.

Step-by-step explanation: To solve for f, you’ll need to simplify the both sides of the equation, and then isolating the variable. Use online advanced calculators to calculate the equation to view all the steps.

Answer:

28.27

Step-by-step explanation:

Answer:

18.84

Step-by-step explanation:

6x3.14 = 18.84. multiply by pi

Answer:

Each friend would get 3 slices and there would be 2 slices left over.

In the model for exponential growth or decay, the amount, or size, at t=0 is represented by  [tex]N=N_{0}[/tex]. and at time t is represented by [tex]N=N_{0}e^{kt}[/tex]

Let us consider that [tex]N_{0}[/tex]  is the initial amount and N is represent that amount after growth or decay in time t .

Model for exponential growth or decay is,

                                 [tex]N=N_{0}e^{kt}[/tex]

Amount at t=0 is,

                             [tex]N=N_{0}e^{k*0}=N_{0}[/tex]

Learn more:

https://brainly.com/question/12626186

Answer:

f'(2) = 8

General Formulas and Concepts:

Pre-Algebra

Calculus

The definition of a derivative is "the slope of the tangent line".

Derivatives of constants are 0.

Basic Power Rule:

Step-by-step explanation:

Step 1: Define

f(x) = 3x² - 4x + 2

Step 2: Find 1st Derivative

Step 3: Find tangent slope

Step 4: Identify

f'(2) = 8 tells us that at x = 2, the slope of the tangent line is 8.

Answer:

3x + 17 < 47 solving for x = x<10

43<8x-9 solving for x = x = 13/2

Answer:

The jar problem

Step-by-step explanation:

Joaana saves nickels and quarter in a jar

She looked to see if she had enough coins to fix her car

She didn't so she went on the side of the street to play her guitar

She played for money by a food bar

She worried she wouldn't make a lot

So she bet illegally on some chickens that fought

She was scared the cops would come and she would get caught

The saw the cops coming and her eyes lit up like a match

She grabbed $500 and she was one they wouldn't catch

It turns out she only needed $10 to fix a tiny scratch

She only had $5 is coins in her jar

Now she has $500 and can fix her car

Hope this helps ya! Keep smiling!

240 is answer

Answer:

The bread will be done baking at 12:15

Step-by-step explanation:

11:45+30=12:15

Answer:

12:15 pm

Step-by-step explanation:

30 minutes is two sets of 15 minutes

15+45=60

Therefore, 12:00pm is 15 minutes of back time

Add the second set of 15 minutes and you get 12:15 pm

Answer:

D. The quotient of a difference and a number

Step-by-step explanation:

its the only one that makes sense since you are getting the quotient and the sum in the equation. hope this helped!:)

Answer:

C!!!!

Step-by-step explanation:

Answer:

3.3 mph

4.84 ft/s

Step-by-step explanation:

Convert 1 mile into feet and 18 minutes into seconds. You should get 4.84 then convert 4.84 ft/s into mph.

Answer:

Square root of 49

The missing side is 7

Step-by-step explanation:

With the Pythagorean theorem.

25^2= 625

24^2= 576

Square root of 49=7

The missing side is 7

Answer:

x= 2 [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

5x + 15 = 28

5x + 15 (-15) = 28 (-15)

5x = 13

5/5x = 13/5

x= 2 [tex]\frac{3}{5}[/tex]

Answer:

x=2.6

Step-by-step explanation:

1)write equation

2)put line through equal sign(if on paper, its way easier to put a line through.)

3)subtract 15 from 15

4)subtract 15 from 28(13)

If it were to be a negative 15 youd add 15. Never add or subtract to a number with a letter!

5)what's left over is 5×=28 divide 5 on both sides.

6)13÷5=2.6

Answer:

4/25

Step-by-step explanation:

It is a fraction with 4 in the numerator and 25 in the denominator.

4

__

25

around 13% chance

Step-by-step explanation:

Answer:

A bank teller has 47 $20 and $5 bills.

The value of the bills is $490.

Number of $20 bills --> x

Number of $5 bills --> y

x + y = 47 --> x = 47-y

20x + 5y = 490 --> 20x = 490-5y

so

20(47-y) = 490 -5y

940-20y = 490-5y

940-490 = -5y+20y

15y = 450

y= 30

so

x = 47-30

x = 17

IN TOTAL --> 17 $20 bills and 30 $5 bills.

Answer:

x = 17 $20 bills

y = 30 $5 bills

General Formulas and Concepts:

Step-by-step explanation:

Step 1: Define variables

x = # of $20 bills

y = # of $5 bills

Step 2: Set up systems of equations

[tex]\left \{ {{x+y=47} \atop {20x+5y=490}} \right.[/tex]

Step 3: Solve for x

By solving for x, we now know that we have 17 $20 bills.

Step 4: Solve for y

Now we know that we have 30 $5 bills.

Answer:

50x + 30

Step-by-step explanation:

50 is the amount per month and x is how many months he's paying. If he's paying for 5 months then you replace x with 5 so on and so forth. the + 30 is the amount he paid to active his phone

Answer:

pa rompa pero no poden con mi pom pom con pom pom con pom pom

Step-by-step explanation:

Step-by-step explanation:

sin 75°: Now using the formula for the sine of the sum of 2 angles, sin(A + B) = sin A cos B + cos A sin B, we can find the sine of (45° + 30°) to give sine of 75 degrees.

Answer:

D.)

Step-by-step explanation:

Edge

Answer:

Step-by-step explanation: