The answer to this question

Answer:

59.85

Step-by-step explanation:

The scores on a mathematics exam have a mean of 70 and a stadard deviation of 7. Find the x-value that corresponds to the z-score -1.45.

We solve the above question using z score formula

z = (x-μ)/σ, where

x is the raw score

μ is the population mean = 70

σ is the population standard deviation = 7

z = -1.45

Hence:

-1.45 = x - 70/7

Cross Multiply

-1.45 × 7 = x - 70

-10.15 = x - 70

x = -10.15 + 70

x = 59.85

Answer:

n((2n+3)(5n+2x))

Step-by-step explanation:

that is the step by step solution

Answer:

Step-by-step explanation:

I can help

Step 1

(5n^2+10xn)(2n-3)  Factorise

Step 2

5n^2+10xn factor

5n(n+2x)

5n(n+2x)(2n-3)

Answer

5n(n+2x)(2n-3)

Hope this helps

Answer:

[tex]x->-2^{-}, p(x)->-\infty[/tex] and as [tex]x->-2^{+}, p(x)->-\infty[/tex]

Step-by-step explanation:

Given

[tex]p(x) = \frac{x^2-2x-3}{x+2}[/tex] -- Missing from the question

Required

The behavior of the function around its vertical asymptote at [tex]x = -2[/tex]

[tex]p(x) = \frac{x^2-2x-3}{x+2}[/tex]

Expand the numerator

[tex]p(x) = \frac{x^2 + x -3x - 3}{x+2}[/tex]

Factorize

[tex]p(x) = \frac{x(x + 1) -3(x + 1)}{x+2}[/tex]

Factor out x + 1

[tex]p(x) = \frac{(x -3)(x + 1)}{x+2}[/tex]

We test the function using values close to -2 (one value will be less than -2 while the other will be greater than -2)

We are only interested in the sign of the result

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

As x approaches -2 implies that:

[tex]x -> -2^{-}[/tex] Say x = -3

[tex]p(x) = \frac{(x -3)(x + 1)}{x+2}[/tex]

[tex]p(-3) = \frac{(-3-3)(-3+1)}{-3+2} = \frac{-6 * -2}{-1} = \frac{+12}{-1} = -12[/tex]

We have a negative value (-12); This will be called negative infinity

This implies that as x approaches -2, p(x) approaches negative infinity

[tex]x->-2^{-}, p(x)->-\infty[/tex]

Take note of the superscript of 2 (this implies that, we approach 2 from a value less than 2)

As x leaves -2 implies that: [tex]x>-2[/tex]

Say x = -2.1

[tex]p(-2.1) = \frac{(-2.1-3)(-2.1+1)}{-2.1+2} = \frac{-5.1 * -1.1}{-0.1} = \frac{+5.61}{-0.1} = -56.1[/tex]

We have a negative value (-56.1); This will be called negative infinity

This implies that as x leaves -2, p(x) approaches negative infinity

[tex]x->-2^{+}, p(x)->-\infty[/tex]

So, the behavior is:

[tex]x->-2^{-}, p(x)->-\infty[/tex] and as [tex]x->-2^{+}, p(x)->-\infty[/tex]

The the fewest number of tire rotations is 42 to travel the entire distance of the driveway.

It is given that the driveway that is 200 feet long and the tire diameter is 18 inches.

It is required to find the fewest number of tire rotations a tire will make to travel the entire distance of the driveway.

It is defined as the combination of points that and every point has an equal distance from a fixed point ( called the center of a circle).

Driveway length = 200 feet

Diameter of the tire = 10 inches

For converting it to feet divide by 12.

Now the diameter of tire = 18/12 = 1.5 feet

Radius of the tire = 0.75 feet

We know the perimeter of the circle:

[tex]\rm P = 2\pi r[/tex]

P = 2(π)(0.75)

P = 4.71 feet   ( π =3.14 and P = 0.75)

[tex]\rm number \ of \ tire \ rotations = \frac{Driveway \ length}{Perimeter \ of tire}[/tex]

[tex]= \frac{200}{4.71}[/tex]

Number of tire rotation = 42.462 ≈ 42

Thus, the the fewest number of tire rotations is 42 to travel the entire distance of the driveway.

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Answer:

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought. An equation system is usually classified in the same manner as single equations, namely as a: ... System of difference equations

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Answer:

the awnser is 10 and 1/x+ 1/y is = 5/12

Answer:

X is directly proportional to y means the value of x is dependent on the value of y. y may not be dependent on x in this case.

Y is directly proportional to x means the value of y is dependent on the value of x. Same as above, in this case, the value of x may not depend on y.

Answer:

3

Step-by-step explanation:

15*1/5= 3

Answer:

x= 73

y= 13

Step-by-step explanation:

The sum of the angles opposite the exterior angle = the exterior angle so

x= 141-68

x= 73

The angle sum of a triangle= 180.

180-68-73= 39

since there are 3 "y"s we need to divide 39 by 3

39/3= 13

Answer:

The answer is below

Step-by-step explanation:

Two triangles are congruent if they have the same shape and their corresponding sides are equal to each other.

1) AB = DC, BE = CE     (given)

2) ∠AEB≅∠DEC  (vertical angles are congruent)

3) ΔABE ≅ ΔACE (side angle side congruence theorem)

If the two sides and an included angle of one triangle is equal to two sides and one included angle of another triangle, then the two triangles are congruent by SAS congruence theorem.

Answer:

that's The truth

Step-by-step explanation:

that's more like a trade

Answer:

Step-by-step explanation:

First factor the polynomials and reduce the fractions.

Answer:

41.2 inches tall

Step-by-step explanation:

53.56 / 1.3 = 41.2

Step-by-step explanation:

Let Raj's sister's height be x

53.56= 1.3x

= 53.56/1.3=x

= 41.2=x

Answer:

1 ) 140

2) 60

Step-by-step explanation:

1. It touches the y intercept at 140 and 0 in the x axis so 140

NOTE : THE NUMBER THE TOUCHES THE Y INTERCCEPT IS ALWAYS THE ANSWER/ IT GOES DOWN 3 ACROSS 3 SO IT AND U WILL SEE IF IT TOUCHES THE Y INTERCEPT IT WILL BE 140

2. it goes from 140 to 200 just subtract them to get how much she gets

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Answer:

A bird drops a stick to the ground from a height of 80 feet. The equation 0=−16x2+64x+80 gives the number of seconds that have passed when it hits the ground. After about how many seconds did the stick hit the ground?

Step-by-step explanation:

h = -16t^2 + 80   Stick hits the ground when h = 0:

0 = -16t^2 + 80    

16t^2 = 80

t^2 = 80/16 = 5

t = POSITIVE root 5 (due to the real world nature of the problem)

t approximately 2.236 seconds.

========================================

Graph is a downward opening parabola with h-intercept of 80, t-intercept(s) of sqrt(5), - sqrt(5)

Symmetric about h-axis, though I would only graph on the right side of the h-axis since  

that is where t >= 0.

Answer:

Use symbolab

Step-by-step explanation:

Answer:

14in approx

Step-by-step explanation:

Given data

number of rotations= 10

Distance travelled=  879.2 inches

Hence if in 10 rotations the distance covered is  879.2 inches

               in 1 rotation the distance covered will be x inches

cross multiply

10x= 879.2

x=  879.2/10

x=  87.92 inches

This means that the circumference of the  tire is 87.92 in

From

C= 2πr

Let us solve for r

87.92=2*3.142*r

87.92=6.284r

r= 87.92/6.284

r= 13.9

Hence the radius is 14in approx

Answer:

9.55 cm

Step-by-step explanation:

A quadrant of a circle is 1/4 of a circle.

Since the curved edge is 15 cm, a full circle would be 60 inches.

60/Pi = diameter

diameter = 60/3.14 = 19.11 cm

diameter/2 = radius

radius = 19.22/2 = 9.55 cm which is the length of a straight edge.

Answer:

Step-by-step explanation:

The prime factorization of 200 is as follows: 200 = 2 × 2 × 2 × 5 × 5.

The prime factorization of 200 will be equal to 2 × 2 × 2 ×  5 × 5 or 2³ × 5².

It is given that a number is 200.

We have to find out the prime factorization of 200.

What do you mean by prime factorization ?

Prime factorization is a way to find the prime factors of a number, such that the original number is evenly divisible by the prime numbers.

As per the question ;

The given number is 200.

We have to find the prime factors of 200.

This meant to find out the prime numbers we should multiply together to make the original number which is 200.

So ;

200

= 2 × 100

= 2 × 2 × 50

= 2 × 2 × 5 × 10

= 2 × 2 × 2 ×  5 × 5

or

= 2³ × 5²

Thus , the prime factorization of 200 will be equal to 2 × 2 × 2 ×  5 × 5 or 2³ × 5².

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Answer:

18 : 26

Step-by-step explanation:

It is very easy, angel fish and clown fish are fish, so once you add them up you get 26. The seahorses are 18 and we are supposed to make them S:F. Therefore you put the seahorses first and the fish second, so you get the answer 18:26

Answer:

2/10 or 20%

Step-by-step explanation:

Because 4 and 8 are the only numbers 1-10 that are divisible by four.

This would give Amy a 2/10 chance of rolling a number divisible by 4.

To turn 2/10 into a percent, the denominator has to be 100 so if you multiply 10 by 10 you will get 100, you will also have to multiply 2 by 10 to get 20 and you will get 20/100

20/100 is equal to 20%

Therefore your answer would be 2/10 or 20%

Hope this helps

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Answer:h=16+2+vt +s

Step-by-step explanation:

Answer:

Number of boys who attended the community service event = 10

Step-by-step explanation:

Let [tex]x[/tex] denotes number of girls and [tex]y[/tex] denotes number of boys.

Twenty-six students attended the community service event.

So,

[tex]x+y=26[/tex]

The number of girls was 4 fewer than twice the number of boys.

[tex]x=2y-4[/tex]

Put [tex]x=2y-4[/tex] in [tex]x+y=26[/tex]

[tex]2y-4+y=26\\3y=26+4\\3y=30\\y=10[/tex]

So,

Number of boys who attended the community service event = 10

In order to get an unbiased sample of interest in soccer, the school survey should be conducted D. every fifth student entering the cafeteria.

Sampling methods are methods used to select a sample using specific methods. This includes various types of probability sampling and non probability sampling methods.

Given that,

Brookwood High School is considering adding co-ed soccer to the sports program for the fall season.

We need to get an unbiased sample of interest.

If the survey is conducted only among the members of the soccer team, the result will be biases because only the interest of someone in the team is known.

Similarly, in the case of students in freshman homerooms and girls in PE class.

If we select every fifth student entering the cafeteria, there is a chance for all the levels of students to be included which eliminates the possible bias.

Hence the option is D.

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Answer:

The answer is b

Step-by-step explanation:

The formula for the surface area of rectangular prisms is

A=2(wl+hl+hw)

Now input the length width and hight into the right spots

=2*(2*6.6+3.3*6.6+3.3*2)

And you will end up with the answer

=83.16

Answer:

y = 1/2x + 3

Step-by-step explanation:

Rise/Run and since y = 3 when x = 0, then the b part in y = mx + b is 3.

Answer:

[tex]\sqrt{61}[/tex]

Step-by-step explanation:

x = 6 units horizontally

y = 5 units vertically

Use the pythagorean theorem[tex]\sqrt{x^{2} + y^{2} } = L[/tex]

Plug x and y into the equation, and you will get [tex]\sqrt{61}[/tex] as the length.

Answer:

7.8 units (which is to the nearest tenth)

Step-by-step explanation:

We apply the Pythagorean Theorem here; the length of the line is the length of the hypotenuse of a triangle whose horizontal leg length is 6 and whose vertical leg length is 5 units.  This Theorem is expressed symbolically as

a^2 + b^2 = c^2.  In this particular case, a = 6, b = 5 and c is to be determined.  Performing the calculations, we get

6^2 + 5^2 = c^2, or:

36 + 25 = 61 = c^2

Taking the positive square root of both sides, we get c = √61 ) exactly,

which rounds off to 7.8 units (to the nearest tenth).

The length of the line is 7.8 units.