Casey charges $11 per hour to babysit infants and $9 per hour for toddlers. She babysat infants for 22 hours and toddlers for 18 hours. How much more does she need to earn to buy a $450 bike?

The Normal probability for all sample of 5 that the sample mean will be greater than 22 pounds is approximately 0.05. In this Question The normal probability distribution and the central limit theorem were used.

The most prevalent continuous probability distribution is the Normal (or Gaussian) distribution. As the curve becomes closer to zero on either side of the mean, the function calculates the likelihood that a given event will fall between any two real number limits. The area under the normal curve is always one.

Central limit theorem

The central limit theorem implies that the distribution of the sample means will be roughly normally distributed if you have a population with mean and standard deviation and take sufficiently enough random samples from the population with replacement.

Normal probability distribution, ; Problems of normally distributed samples are solved using the z-score formula.

Mean standard deviation , the z-score of a measure X is given by:

Z = x-μ/σ

Given ,

The distribution of backpack with mean deviation = 19.7 pounds

And the standard deviation = 3.1 pounds

The number of standard deviations is measured by the Z-score. The average is used as the measure.

We glance at the z-score table after determining the Z-score to determine the p-value connected to it.

The likelihood that the measure's value is less than X, or the percentile of X, is represented by this p-value.

1 is subtracted from the p value.

We calculate the likelihood that the measure exceeds X.

P(ä > 22) is the probability of the sample means being above 22.

For all samples of size 5, the probability that the sample mean will be greater than 22 pounds is approximately 0.05.

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Answer:

14

Step-by-step explanation:

The approximate shape of the sampling distribution of the sample will be normal.

Option E is correct.

Sampling distribution:

It is a statistic that determines the probability of an event based on data from a small group within a large population.

Given that,  is greater than or equal to 15 and  is greater than or equal to 15.

      and

So that the new mean and standard deviation will be,

Thus, the approximate shape of the sampling distribution of the sample will be normal.

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Answer:

26 is 2×13

27 is 3³

18 is 2×3²

hope it helps :)

Answer:

25= 5 × 5 or 5

30= 2 x 3 x 5

26= 1, 2, 13 and 26.

27= 3×3×3 or 3(3)

18= 2 × 3 × 3

Step-by-step explanation:

Answer h:

Step-by-step explanation:

Answer:

b. Independent; the first marble selection will not affect the second marble selection.

Step-by-step explanation:

We have both independent and dependent occurrences when calculating the probability of events in mathematics.

Independent events occur when the results of the first event's selection have no bearing on the results or outcomes of the second event.

The opposite of independent occurrences are dependent events. They are occurrences in which the results or outcomes of the second events are influenced by the results or outcomes of the first events' selection.

The first incident, according to the question, was when she chose one marble from the bag. The second occurrence is that she replaced the pebble before selecting another. By doing so, the total number of alternative outcomes for both occurrences' probability remains the same.

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The decimal that is represented by the shaded portion of the model is 0.45

Suppose that the number is abcd.efg and belongs to the decimal numerical system.

Remember one thing that the place on the left of decimal point is called ones. Move one-one places to right, and divide by 10 and 10 more and more.

Move one-one places to left, and multiply (un-divide) by 10 and 10 more and more.

We are given In the model, a hundreds grid represents 1 whole.

Since 45 out of the 100 squares are shaded,

This means the fraction would be 45/100

45/100 = 0.45.

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Answer:

f(-4) = 56

Step-by-step explanation:

f(x) = 3x² - 2x

To find f(-4), substitute -4 for all the values of x in f(x).

f(-4) = 3(-4)² - 2(-4)

Square -4.

f(-4) = 3(16) - 2(-4)

Multiply 3 and 16.

f(-4) = 48 - 2(-4)

Multiply -2 and -4.

48 + 8

Add.

56

You had the right idea! :)

Answer:

y² - 100

Step-by-step explanation:

(y + 10)(y - 10)

Each term in the second factor is multiplied by each term in the first factor, that is

y(y - 10) + 10(y - 10) ← distribute parenthesis

= y² - 10y + 10y - 100 ← collect like terms

= y² - 100

The value of e (exponential) is approximately equal to 2.718281 which is rounded to 6 digits. The exponential constant frequently happens in mathematics every time the exponential functions are involved.

Log mention to a logarithm to the base 10. Ln mentions a logarithm to the base e. This is also known as a common logarithm. This is also known as a natural logarithm.

The first common log is represented as log 10 (x) The second natural log is represented as log e (x) The exponent form of the common logarithm is 10 x =y.

An exponential function is a function in which a number or data is raised to the power of another number or a variable.

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1) -12

ab is a times b. We plug in the numbers (-4)*(3) which equals -12.

2) 1

We plug in -4 for a, and 3 for b into the equation.

We get 2(-4) + 3(3)

2*-4 is -8. 3*3 is 9. We add them both, and -8+9 equals 1.

3) -14

We plug in -4 for a, and 3 for b into the equation.

2(-4-3)

-4-3 is -7. -7*2 equals -14.

Answer:

7.14%

Step-by-step explanation:

Any comparison with the increase or decrease in price has to be compared to the ORIGINAL price. (at the beginning of the month.)

The price increased from $3.50 to $3.75, an increase of $0.25

To find what percent it is use:[tex]\frac{change}{original}[/tex]×100%

[tex]\frac{0.25}{3.50}[/tex]×100%

Answer:

7.1428571% increase

7  1/7 % increase

Step-by-step explanation:

To find the percent increase ( we know this is an increase since the amount went up), take the new amount and subtract the original amount

3.75 - 3.50 = .25

Divide by the original amount

.25 / 3.50

.071428571

Multiply by 100 %

7.1428571%

7 1/7 %

Answer:

x = - 4

Step-by-step explanation:

x = 19 is a vertical line parallel to the y- axis

A line parallel to it has the equation

x = c

where c is the value of the x- coordinates the line passes through

The line passes through (- 4, 7 ) with x- coordinate - 4 , then

x = - 4 ← equation of parallel line

Hello!:

Let's take this problem in steps:

   [tex]sinx-\sqrt{3-3sin^2(x)}=0\\\\\text{We know that } sin^2(x) + cos^2(x)=1 \text{ and that } cos^2x=1-sin^2(x)\\\\sin(x)-\sqrt{3(1-sin^2(x))}=0\\\\sin(x)-\sqrt{3*cos^2(x)}=0\\\\sin(x)-\sqrt{3}*cos(x)=0[/tex]

Now we need to find the value of sin(x) and cos(x) where the value becomes zero:

  --> and it so happens to be:

        [tex]sin(30)=\dfrac{1}{2} \\\\cos(120)=\dfrac{\sqrt{3}}{2}[/tex]

Thus:

 [tex]sin(30)-\sqrt{3}*cos(120)=0\\\\\dfrac{1}{2} -\sqrt{3}*\dfrac{\sqrt{3} }{2} =0\\\\\\\dfrac{1}{2} -\dfrac{1}{2} =0\\\\0=0[/tex]

Answer: (B)

Answer: 215

Step-by-step explanation:

Answer:

j = 8.6 or 8.7

Step-by-step explanation:

tan (60) = j/5

*cross multiply*

j = 5 (tan(60))

j = 8.66

j = 8.7

Answer:

86%

Step-by-step explanation:

well we know that his average score is 78 percent. so we need to use 78 with all the tests he took. so 78+78+78 is equal to 234. i tested each number. 234+86 is equal to 320. 320/4 (4 for the number of tests he took) is 80. so he needs a test score of at least 86 percent to raise his average score to 80% he could get a higher score but remember, he is trying to reach 80%

Answer: [tex]2061.55\ m[/tex]

Step-by-step explanation:

Given

The two communication mask are 2 km apart

Ubi's home is 500 m east of one of the mask

Suppose its distance from the other's is x

From the figure, we can write

[tex]\Rightarrow x^2=2000^2+500^2\\\Rightarrow x^2=4\times 10^6+25\times 10^4\\\Rightarrow x=2061.55\ m\ \text{or}\ 2.061\ km[/tex]

Answer: Shanghai

Step-by-step explanation:

i hope this helps!

Answer:

Hi there, the reference angle for -252 is 72°

When it comes to reference angle it has to be less than 90° on either quadrants.

Hope this helped :)

Answer:

Step-by-step explanation:

It's like this

4 / 2 is the same as 8 / 4. It's equivalent to each other.

Answer:

because they were both multiplied by ten, so they stay proportanally the same

Step-by-step explanation:

any time you multiply to numbers, if you multiply them both by the same number, the proportion of the numbers will be the same

Answer:

-x

Step-by-step explanation:

3x - y = -2y

add y to both sides

3x = -3y

divide both sides by -3

-x = y

Answer: Option D (0.833)

Step-by-step explanation:

There are 6 possible outcomes when the arrow is spun, and 5 of those outcomes correspond to the arrow landing on a number greater than 10 (the numbers 11, 12, 13, 14, and 15).

Therefore, the probability of the arrow landing on a number greater than 10 is 5/6, or about 0.833

Answer:

1. g=-3

2. a=-2

3. s=19

4. f=-12

5.d=8

6.a=-28

7.w=12

Step-by-step explanation:

1)  take 4-7 to get -3

2)  take 10 divided by -5 to get -2

3) take 10+9 to get 19

4) take 3-15 to get -12

5) take -64 divided by -8 to get 8

6) take -4 times 7 to get -28

7)take 7 plus 5 to get 12

Answer:

six point eighty three

Step-by-step explanation:

Answer:1881 6040mph 18x