y=(x+3)(x-13) the x-intercepts are?

Answer:

Area = 52.81 square inches

Step-by-step explanation:

[tex]Diameter = 8.2in\\\\Radius = \frac{diameter}{2}=\frac{8.2}{2}=4.1in\\\\Area \ of \ a \ circle = \pi r^2 = \pi \times 4.1^2 = 52.81 in^2[/tex]

Answer:

.321428571

Step-by-step explanation:

P(blue shirt | girl)

This means what is the probability of a blue shirt given that we have a girl

There are 56 girls and 18 girls wearing blue shirts

P(blue shirt | girl) = girls in blue shirts / girls

                            = 18/56

                               =.321428571

Answer:

It would be 180 - 45

Step-by-step explanation:

This is because angles on a straight line add to 180,

So to find the missing angle, you would have to take 45 from 180.

Answer:

I think it's a square or maybe a rhombus?

Step-by-step explanation:

Answer:

m = 4a - 60, option b

Step-by-step explanation:

Number of cars sold in May:

This was m.

60 less than four times the number of cars sold in April a

Four times the number of cars sold in April was 4a.

m was 60 less than 4a, that is, m is given by 4a subtracted by 60. So

m = 4a - 60, and the correct answer is given by option b.

Answer:

0.1836 = 18.36% probability that the sample mean would differ from the population mean by greater than 1.46 WPM

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set 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]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The mean number of words per minute (WPM) read by sixth graders is 84 with a standard deviation of 15 WPM.

This means that [tex]\mu = 84, \sigma = 15[/tex]

Sample of 188

This means that [tex]n = 188, s = \frac{15}{\sqrt{188}}[/tex]

What is the probability that the sample mean would differ from the population mean by greater than 1.46 WPM?

Greater than 84 + 1.46 = 85.46 or less than 84 - 1.46 = 82.54. Since the normal distribution is symmetric, these probabilities are equal, so we find one of them and multiply by 2.

Probability is is less than 82.54.

P-value of Z when X = 82.54. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{82.54 - 84}{\frac{15}{\sqrt{188}}}[/tex]

[tex]Z = -1.33[/tex]

[tex]Z = -1.33[/tex] has a p-value of 0.0918

2*0.0918 = 0.1836

0.1836 = 18.36% probability that the sample mean would differ from the population mean by greater than 1.46 WPM

Answer:

7

Step-by-step explanation

Have a nice day :)

Answer:

0.009009009

Step-by-step explanation:

I think you meant 999÷9 and in that case it is 111

Answer:

0.009009009009009

Step-by-step explanation:

Answer:

[tex]x = 24[/tex] ---- Hao Sheng

[tex]y =51[/tex] --- His father

[tex]z = 84[/tex] ---- His grandfather

Step-by-step explanation:

Given

[tex]x \to Hao\ Sheng[/tex]

[tex]y \to his\ father[/tex]

[tex]z \to his\ grandfather[/tex]

From the question, we have:

[tex]\frac{x + y + z}{3} = 53[/tex] --- The average of their age

[tex]\frac{z}{2} + \frac{y}{3} +\frac{x}{4}= 65[/tex]

[tex]z - 4 = 4(x - 4)[/tex] --- 4 years ago

Required

Their current age

[tex]z - 4 = 4(x - 4)[/tex]

Open bracket

[tex]z -4 = 4x-16[/tex]

Make z the subject

[tex]z = 4x-16+4[/tex]

[tex]z = 4x-12[/tex]

Multiply [tex]\frac{z}{2} + \frac{y}{3} +\frac{x}{4}= 65[/tex] by 12

[tex]6z + 4y + 3x = 780[/tex]

Substitute [tex]z = 4x-12[/tex] in [tex]6z + 4y + 3x = 780[/tex]

[tex]6(4x - 12) + 4y + 3x = 780[/tex]

[tex]24x - 72 + 4y + 3x = 780[/tex]

Collect like terms

[tex]24x + 3x + 4y = 780+ 72[/tex]

[tex]27x + 4y = 852[/tex]

Substitute [tex]z = 4x-12[/tex] in [tex]\frac{x + y + z}{3} = 53[/tex]

[tex]\frac{x + y + 4x - 12}{3} = 53\\[/tex]

Multiply through by 3

[tex]x + y + 4x - 12 = 159[/tex]

Collect like terms

[tex]x + 4x + y = 159+12[/tex]

[tex]5x + y = 171[/tex]

Make y the subject

[tex]y = 171 - 5x[/tex]

Substitute [tex]y = 171 - 5x[/tex] in [tex]27x + 4y = 852[/tex]

[tex]27x + 4(171 - 5x) = 852[/tex]

[tex]27x + 684 - 20x = 852[/tex]

Collect like terms

[tex]27x - 20x = 852-684[/tex]

[tex]7x = 168[/tex]

Divide by 7

[tex]x = 24[/tex]

Solve for y in [tex]y = 171 - 5x[/tex]

[tex]y =171 -5*24[/tex]

[tex]y =171 -120[/tex]

[tex]y =51[/tex]

Solve for z in [tex]z = 4x-12[/tex]

[tex]z = 4 * 24- 12[/tex]

[tex]z = 96- 12[/tex]

[tex]z = 84[/tex]

Answer:

Be an GH

Step-by-step explanation:

Answer:

x =150 men

Step-by-step explanation:

Think of the total as workdays

125men* 120days = 15000 workdays

We still need 15000 workdays

100 days * x = 15000workdays

Divide by 100

x = 15000/ 100

x =150 men

Answer:

150 men

Step-by-step explanation:

120 × 125 = 15000

15000 ÷ 100

150

Answer:

30 experimental outcomes exist for the entire experiment.

Step-by-step explanation:

Fundamental counting principle:

States that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are p*q ways to do both things.

In this question:

Three outcomes possible for the first step.

Two for the second step.

Five for the third step.

How many experimental outcomes exist for the entire experiment?

Steps are independent, so, by the fundamental counting principle:

3*2*5 = 6*5 = 30

30 experimental outcomes exist for the entire experiment.

The correct inverse of F(x) = 6x is y = x/6 according to given question

To find the inverse of a function, we need to interchange the roles of the dependent variable (x) and the independent variable (F(x)) and solve for the new dependent variable.

Given that F(x) = 6x, to find the inverse, we can follow these steps:

Replace F(x) with y: y = 6x.

Swap x and y: x = 6y.

Solve for y: Divide both sides by 6 to isolate y: y = x/6.

Therefore, the inverse function of F(x) = 6x is given by y = x/6.

Out of the options provided:

A. F(x) = 6x: This is the original function, not the inverse.

B. F(x) = x-6: This is not the correct inverse function.

C. F(X): This option is incomplete; it does not provide an equation for the inverse.

D. F(x) = x + 6: This is not the correct inverse function.

Therefore, the correct inverse of F(x) = 6x is y = x/6.

To know more about inverse here

https://brainly.com/question/3831584

#SPJ2

Answer:

See Explanation

Step-by-step explanation:

Given

The three equations

Required

Label the x and y-axes

The general rule is to place the independent variable (x) on the x-axis and the dependent (y) on the y-axis.

What x and y represented are always stated after writing the equation.

So, we have:

[tex](a)\ y = x + 5[/tex]

[tex]x \to[/tex] Number of chores

[tex]y \to[/tex]Amount

[tex](b)\ y =15x[/tex]

[tex]x \to[/tex] Time (hours)

[tex]y \to[/tex]Miles traveled

[tex](c)\ y = 6x[/tex]

[tex]x \to[/tex] Time (hours)

[tex]y \to[/tex]Miles traveled

Answer:

20 inches

Step-by-step explanation:

Answer:

H

Step-by-step explanation:

Use Pythagorean Theorem. 12 squared plus 16 squared = 400

radical 400 = 20

Answer:

Kevin eats 1 pie for every 33 seconds that pass

Step-by-step explanation:

A unit rate is a rate with 1 in the denominator. If you have a rate, such as price per some number of items, and the quantity in the denominator is not 1, you can calculate unit rate or price per unit by completing the division operation: numerator divided by denominator.

If we were wondering how many seconds Kevin takes to eat a pie then the equation would look like:

132 seconds / 4 pies = 33 seconds per pie

33 seconds / 1 pie

However, if we were looking for how many pies Kevin eats in a second, then the equation would look like:

4 pies / 132 = .0303 or 3.03% of a pie per second

.0303 pies / 1 second

Answer: 0.037

Step-by-step explanation:

The probability that exactly four of the customers had their problems solved will be 0.037.

Check attachment for further details. Note that 10!/6!4! = (10×9×8×7×6×5×4×3×2×1)/(6×5×4×3×2×1×4×3×2×1) = 210

Therefore,

= 210 × 0.7⁴ × 0.3^6

= 0.037

Answer:

61.92

Step-by-step explanation:

Answer:

in ABC if sin A= 4/5

and tan A=4/3

then cos is

cosA=3/5

Answer:

-6

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

3x + 5x - 6

Step 2: Simplify

Step 3: Identify

8x -> variable

-6 -> constant

Answer:

0

Step-by-step explanation:

12.5/3.79 = 3.2981530343

3.2981530343 rounded = 3.3

1/3 = 3.33333333333333

3.33333333333333 rounded = 3.3

3.3 - 3.3 = 0

9514 1404 393

Answer:

  $0.03 per ounce

Step-by-step explanation:

The unit rate for the smaller bag is ...

  $1.00/(3 oz) = $0.333 /oz

For the larger bag, it is ...

  $3.79/(12.5 oz) = $0.303 /oz

Then the difference in unit rates is ...

  $0.333 -0.303 = $0.03 . . . per ounce

Answer:

36

Step-by-step explanation:

Since there are 18 students in the class and they picked 660 strawberries, you divided 660 by 18, giving you a quotient of 36.6666667. Since the question asks for how many whole strawberries each student can have, the answer is 36.

Answer:

36

Step-by-step explanation:

9514 1404 393

Answer:

  total cooling was 252 degrees

Step-by-step explanation:

  quantity = rate × time

The total temperature change is ...

  (-6°/h)(42 h) = -252°

The total change in temperature was a cooling of 252 degrees.

Answer:

188 children, 190 adults

Step-by-step explanation:

For this equation, let c be the number of children, and a represent the number of adults.

On this day 378 total people were at the park, so

a + c = 378   eq 1

Each adult pays $4, so the admission fee for ALL adults will be $4 multiplied by the number of adults , a, so 4a

Use the same method for the children, and the total all children paid is 1.50c

From all the children and adults, the total was 1042, so merge the 2 cost variables together.

4a + 1.50c = 1042   eq 2

the 2 equations we will use are

a + c = 378

4a + 1.50c = 1042

From equation 1, subtract c from both sides, and

a = 378 - c     eq 3

Substitute the value of a in eq 3 into equation 2

4a + 1.50c = 1042

4 (378 - c) + 1.50c = 1042

1512 - 4c +1.50 c = 1042 (collect like terms)

1512 - 1042 = 4c -1.50 c

470 = 2.5 c

c = 470 /2.5

c = 188 children

Substitute the value of c into eq 3 to get the value of a

a = 378 -c

a = 378 - 188

a = 190 adults

Answer:

D. 12 units

Step-by-step explanation:

l6l+l-6l=12

add the absolute values.

Its very simple. So were saying that y is 8. 2x+24=12. Which is 2x=12-24. Which is 2x=-12. Which is x=-6. So if x is -6 when y is 8, then the value must be equal to -6. You just have to find a way to put it into the ordered pair (4_,8)...

Answer:

The median of this problem is 9