What is the probability that a normal random variable will take a value that is less than 1.05 standard deviations above its mean?

Answer:

B: A

He earns $90 in 3 weeks.

C

He shelves 90 books in 3 hours.

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

4.5

Step-by-step explanation:

If they are symilar their sides are in proportion so write the proportion

[tex]\frac{x}{5} =\frac{2.7}{3}[/tex]   you can pick any other 2 sides as long as you take them in the same order

x= 5*2.7/3=4.5

Answer:

There are 5 sales per minute!

Step-by-step explanation:

A unit rate is a ratio between two different units with a denominator of 1. To calculate the unit rate, divide the numerator by the denominator. The resulting decimal number is the unit rate. Basically 5 is the unit rate! 5/1 is 5!

u must use the formula

so, the answer is 10 units²

Answer:

5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

-4w-4=-24

-4w=-24+4

-4w=-20 to find w divide both side by -4

-4w/-4 =-20/-4

w=5

Answer:

The first thing you do is make the denominators equal on both sides.

Step-by-step explanation:

As a example if you have the equation:

[tex]\frac{1}{2}[/tex] + [tex]\frac{2}{5}[/tex] =

you would multiply the denominator by the smallest multiple. I would do 2 * 5= 10

this would make the equation

[tex]\frac{x}{10} + \frac{x}{10} = ...[/tex]

next you have to do the same with the numerator.

so sence you multiplied the [tex]\frac{1}{2}[/tex] by five you will get [tex]\frac{5}{10}[/tex]

same with the other fraction except you multiplied it by two.[tex]\frac{2}{5}[/tex] x 2 = [tex]\frac{4}{10}[/tex]

next you add and simplify if needed

Answer:

3 simple steps

Step-by-step explanation:

1.     Make sure the bottom numbers ( the denominators ) are the same

       IF DIFFERENT find the LCD

2.    Add the top numbers (the numerators )

3.    simplify the fraction if needed

ex:  1/4 +1/4 = 2/4  (bottoms were the same) simplify  1/2

       1/3 + 1/6    LCD of 3 and 6 so make the bottom numbers 6

                         so multiply  1/3 x  2 = 2/6

        now you have 2/6 + 1/6 = 3/6    simplify 1/2

The other equation could be y = 8x - 7

The first equation is given as:

y = 8x + 7

For the system of equation to have no solution, then the equations in the system would have different constant values.

Take for instance:

y = 8x + b

Where:

b is a constant not equal to 7

From the options, we have:

y = 8x - 7

Notice that -7 and 7 are not the same

Hence, the other equation could be y = 8x - 7

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Answer: 24

Step-by-step explanation: Hope this helps.

Step-by-step explanation:

Total no. of students = 40

Total no. of girls = 22

Total no. of boys = 40 - 22 = 18

No. of girls walking to school = 9

No. of girls who cycle to school = 22 - 9

No. of boys who cycle to school = 7

No. of students who take the bus = 10

(6 boys and 4 girls)

No. of boys who walk to school = 18 - (7 + 6) = 5

Total no. of students who walk to school = 9 + 5 = 14

The number of students who walked to school was 14 students

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

The equations will be ,

Let the total number of students in the class be A = 40 students

The number of girls in the class = 22 students

The number of boys in class = total number of students - number of girls

                                                = 40 - 22

                                                = 18 students

Now ,

The number of girls who walked to school = 9 students

The number of boys who cycled to school = 7

So , remaining boys = 18 - 7

                                 = 11 students

The number of boys who take bus to school = 6 students

So , remaining boys = 11 - 6

                                 = 5 students

Therefore , the remaining boys in the class walks to school = 5 students

So , the equation will be

And , the total number of students who walked to school =
number of boys in the class that walks to school + number of girls who walked to school

Total number of students who walked to school = 9 + 5

                                                                                = 14 students

Hence , The number of students who walked to school was 14 students

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Answer:

B. 21.1 yd

Step-by-step explanation:

The perimeter of the figure is the sum of all its three sides.

Take note that the dotted line is not a side length of the figure.

The side lengths are 9 yd, 5 yd, and 7.1 yd.

Therefore, the perimeter of the figure = 9 + 5 + 7.1

Perimeter = 21.1 yd.

Also, take note of the unit of the perimeter. Unit of the perimeter would not be squared. Only area has a unit that is squarred.

Answer:

The distance 'd' between T and S:

Step-by-step explanation:

As the point 'T' is located at (2, -4)

And the point 'S' is located at (2, 6)

The distance 'd' between T and S can be computed using the formula:

[tex]d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}[/tex]

[tex]=\sqrt{\left(2-2\right)^2+\left(6-\left(-4\right)\right)^2}[/tex]

[tex]=\sqrt{\left(2-2\right)^2+\left(6+4\right)^2}[/tex]

[tex]=\sqrt{0+10^2}[/tex]

[tex]=\sqrt{10^2}[/tex]

[tex]d=10[/tex]

Therefore, the distance 'd' between T and S:

Answer:

t and s

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

Answer:

7m

Step-by-step explanation:

In an equilateral triangle all the sides and angles are the same

Answer:

The probability that the sample mean will be between 25.5 and 27 years is 0.1359.

Step-by-step explanation:

Let X denote of age of JSOM students.

The information provided is:

[tex]\mu=24\\\sigma=9\\n=36[/tex]

According to the Central Limit Theorem if an unknown population is selected with mean μ and standard deviation σ and appropriately huge random samples (n > 30) are selected from this population with replacement, then the distribution of the sample means will be approximately normally.  

Then, the mean of the sample means is given by,

[tex]\mu_{\bar x}=\mu\\[/tex]

And the standard deviation of the sample means is given by,

[tex]\sigma_{\bar x}=\frac{\sigma}{\sqrt{n}}[/tex]

As the sample size is large, i.e. n = 36 > 30, the sampling distribution of the average age of all the JSOM students can be approximated by the normal distribution.

Compute the probability that the sample mean will be between 25.5 and 27 years as follows:

[tex]P(25.5<\bar X<27)=P(\frac{25.5-24}{9/\sqrt{36}}<\frac{\bar X-\mu_{\bar x}}{\sigma_{\bar x}}<\frac{27-24}{9/\sqrt{36}})\\\\=P(1<Z<2)\\\\=P(Z<2)-P(Z<1)\\\\=0.97725-0.84134\\\\=0.13591\\\\\approx 0.1359[/tex]

Thus, the probability that the sample mean will be between 25.5 and 27 years is 0.1359.

Answer:

16

Step-by-step explanation:

I am doing Prepworks Basic triangles as well :D

Answer:

F(-3) = -7

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

F(x) = 4x + 5

F(-3) is x = -3

Step 2: Evaluate

Answer:

Step-by-step explanation:

The given equation is:

f(x) = 3 - 48x + 4x²      [5,7]

where; f(x) is continous and derivable in [5,7]

f'(x) = -48x + 8x

f(5) = 3 - 48(5) + 4(5)² = -137

f(7) = 3 - 48(7) + 4(7)² = -137

Thus, it satisfies the hypotheses of Rolle's Theorem

f'(x) = f'(c) = 0

-48 + 8c = 0

c =48/8

c = 6

Answer:haha no

Step-by-step explanation:

9514 1404 393

Explanation:

The decimal equivalent of a fraction will terminate if its denominator can be factored using only the prime numbers 2 and/or 5.

1/4 = 1/(2·2) will terminate

1/15 = 1/(3·5) will not terminate

X Y

-6 4

-3 1

0 6

3 -9

That’s the real answer

The required table will be:

X      Y

-6     32

-3      17

0       2

3      -13

Since we are not given the x - values, let the x values be -6, -3, 0 and 3

Given the function of y with respect to x;

y = -5x + 2

We need to get all the y-values for the given values of x as shown;

If x  = -6

y = -5 (-6) + 2

y = 30 + 2

y = 32

If x  = -3

y = -5 (-3) + 2

y = 15 + 2

y = 17

If x  = 0

y = -5 (0) + 2

y = 0 + 2

y = 2

If x  = 3

y = -5 (3) + 2

y = -15 + 2

y = -13

Hence the required table will be:

X      Y

-6     32

-3      17

0       2

3      -13

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Answer:26

Step-by-step explanation:

Gia's final number, if her starting number is 9 is 22

The rule of Gia's number is given as:

y = 2x + 4

Where x represents the starting number and y represents the final number.

Substitute 9 for x in y = 2x + 4

y = 2 * 9 + 4

Evaluate

y = 22

Hence, Gia's final number is 22

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Answer:

h = 9.99in

Step-by-step explanation:

...

Answer

n= 0

Explanation

- 3 (n - 3) = 3n + 9−3(−3)=3+9

−3+9=3+9

−3=3

-3n=3n−3n=3n

−3−3=3−3

−6=0

Answer:

3

Step-by-step explanation:

(x₁ , y₁) = (-1 , -2)   &    (x₂ , y₂) = (3 , 10)

[tex]Slope =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

         [tex]= \frac{10-[-2]}{3-[-1]}\\\\=\frac{10+2}{3+1}\\\\=\frac{12}{4}\\\\=4[/tex]

m  = 4

y - y₁ = m (x - x₁)

y - [-2] = 4(x - [-1])

y + 2 = 4(x + 1)

y + 2 = 4x + 4

    y = 4x + 4 - 2

    y = 4x + 2

Answer:

36:81

Step-by-step explanation:

4 to 36 is times 9, so you have to multiply 9 by 9 to complete the ratio which is how you get 81.

Answer:

15 yards.

Step-by-step explanation:

This is because there are 3 feet in one yard, and 5x3= 15.

Answer:

1.66667

Step-by-step explanation:

Answer:

The sum of two numbers is 78. If four times the smaller number is subtracted from the larger number, the result is 13. What are the two numbers?

Step-by-step explanation:

EQUATION:

x+ y = 78

x-4y = 13

-------------

solve by any method to get:

x = 65

y = 13

Answer:

???

Step-by-step explanation: