One year, many college-bound high school seniors in the U.S. took the Scholastic Aptitude Test (SAT). For the verbal portion of this test, the mean was 425 and the standard deviation was 110. Based on this information what percentage of students would be expected to score between 350 and 550

Answer:

The mass of the substance is  [tex]\mathit{8\cdot 10^{3}}[/tex] grams.

Step-by-step explanation:

Scientific Notation

The mass of a substance is [tex]8\cdot 10^9[/tex] micrograms and one microgram is 0.000001 grams.

This last unit needs to be expressed in scientific notation:

[tex]0.000001 grams = 1\cdot 10^{-6}[/tex]

The mass of the substance in grams is calculated by:

[tex]8\cdot 10^9 * 1\cdot 10^{-6}[/tex]

Multiply the magnitudes and add the exponents:

[tex]8\cdot 10^9 * 1\cdot 10^{-6}=8\cdot 10^{-6+9}=8\cdot 10^{3}[/tex]

The mass of the substance is [tex]\mathbf{8\cdot 10^{3}}[/tex] grams.

Answer:

(0, -5)

Step-by-step explanation:

For Y-intercept: put X = 0

5x-3y=15

-3y=15-5x

3y=-15+5x

y=-5+5/3x

y=5/3x-5

Answer:

2nd answer. (16,32,48,64,80)

Step-by-step explanation:

Answer:

130 balloons

Step-by-step explanation:

Answer:

The company lost 3 dollars

9-6= (-3)

Step-by-step explanation:

Answer:

Step-by-step explanation:

The density of a substance can be found by using the formula

[tex]density = \frac{mass}{volume} \\[/tex]

From the question

mass = 14.3 g

volume = 3.2 cm³

We have

[tex]density = \frac{14.3}{3.2} \\ = 4.46875[/tex]

We have the final answer as

Hope this helps you

Answer:

The answer is 4.47 g/cm³

Step-by-step explanation:

Answer:

[tex]\frac{5}{2}[/tex] improper fraction or [tex]2\frac{1}{2}[/tex] mixed number

Step-by-step explanation:

To find the answer you would need to do [tex]\frac{5}{8}[/tex] divided by [tex]\frac{1}{4}[/tex]

Hope this helps!

The division of the fraction numbers 5/8 and 1/4 in the decimal form will be 2.5.

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

The numbers are given below.

5/8 and 1/4

Then the division of the numbers 5/8 and 1/4 will be given by putting a division sign between them. Then we have

⇒ (5/8) ÷ (1/4)

⇒ (5/8) x (4)

⇒ 5/2

⇒ 2.5

The division of the fraction numbers 5/8 and 1/4 in the decimal form will be 2.5.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

100.40

Step-by-step explanation:

if 6 members has paid, then the remaining 8 will be 8 x 12.55 = 100.4

Answer:

The answer is $100.40

Step-by-step explanation:

ok. their are 14 members. 6 members payed their dues in week 1. so, subtract 6 from 14.    14 - 6 = 8.    Now, the due is $12.55. 8 members payed their dues in week 2, so multiply 8 by 12.55.     8 x 12.55 = 100.50    the answer SHOULD be $100.50 i would think, but there is not an option for that. so, i would pick option 4, because that is .10 off from 100.50. Good luck!!

1:  0.7142857143

2:  0.04761904762

3:  0.2142857143

4:  0.8666666667

5:  0.2727272727

6: 0.3888888889

7:  0.3333333333

8:  0.4444444444

9:  0.3333333333

10:  0.3571428571

11:    0.36

12:  0.8

13:  0.2307692308

14:  0.875

15:  0.8

16:  0.04761904762

Answer:

The probability that an individual has this disease given that the test indicates its presence is 0.1

Step-by-step explanation:

Let A be the event which indicates Having disease

Let B be the event in which test indicates that disease presence

Now we are given that 10% of the individuals in this age group suffer from this form of arthritis

So, P(A)=0.1

We are also given that the proposed test was given to individuals with confirmed arthritics disease, and a correct test result was obtained in 85% of the cases.

P(B|A)=0.85

Now we are given that. When the test was administered to individuals of the same age group who were known to be free of the disease, 4% were reported to have the disease

So,P(B|A')=0.04

We are supposed to find  the probability that an individual has this disease given that the test indicates its presence i.e. P(A|B)

So we will use Bayes theorem

[tex]P(A|B)=\frac{P(B|A) P(A)}{\sum P(B|A) P(A)}[/tex]

[tex]P(A|B)=\frac{0.85 \times 0.1}{0.85 \times 0.1+0.85 \times 0.9}=0.1[/tex]

Hence the probability that an individual has this disease given that the test indicates its presence is 0.1

Answer:

Amanda has 20, Rob has 45

Step-by-step explanation:

Amanda has ten fewer rocks than Andrew, 30-10=20

Rob has 15 more rocks than Andrew, 30+15=45

Answer:

Geometry so easy

Step-by-step explanation:

You can do it..

Answer:

Dimensions of Rectangle B will be 9x inches by 3x inches where x is a scaling factor.

Step-by-step explanation:

Scaled Copy: It means that the rectangle A is related to rectangle B by some scaling (multiplying) factor x.

As we are given Dimensions of rectangle A =  9 inches by 3 inches

Then for any scaling factor x the dimensions of rectangle B will be:

Dimensions of Rectangle B = x * ( Dimensions of rectangle A)

Dimension of rectangle B = x * (9 inches by 3 inches)

Dimensions of rectangle B = 9x inches by 3x inches

For more understanding let we assume that rectangle B is scaled copy of rectangle A by scaling factor x=3; then we will have the dimensions of rectangle B as under:

For scaling factor (x) = 3;

Dimensions of Rectangle B = x * ( Dimensions of rectangle A)

Dimensions of rectangle B = 3 (9 inches by 3 inches)

Dimensions of rectangle B = 27 inches by 9 inches

On the other hand for scaling factor x=0.75, the dimensions of rectangle B will become as under;

Dimensions of Rectangle B = x * ( Dimensions of rectangle A)

Dimensions of rectangle B = 0.75 (9 inches by 3 inches)

Dimensions of rectangle B = 6.75 inches by 2.25 inches

Answer:

2 3/5

Step-by-step explanation:

Answer:

x=2

y= -4/3

y=2/3

x=-4

Step-by-step explanation:

4x-6(0)=8

4x-0=8

4x=8

x=2

4(0)-6y=8

0-6y=8

-6y=8

y=-4/3

4(3)-6y=8

12-6y=8

-6y=-4

y=2/3

4x-6(-4)=8

4x+24=8

4x=-16

x=-4

Answer:

tan(13)-tan(2)

Step-by-step explanation:

= Monthsarry namin ng bebe ko

Answer:

x = 30

Step-by-step explanation:

15 = 1/2x

multiply both sides of equation by 2

30 = x

Answer:

i dont no hindi ko alam eh

Step-by-step explanation:

-Given

-4

-Divison Property Of Equality

-3

Answer:

y=3 the answer is 9 to the equation

Answer:

x=5

Step-by-step explanation:

k(x)=6x–12

18=6x–12

18+12=6x

30=6x

30/6=6x/6

x=5

i think it is clear answer.

Answer:

b

Step-by-step explanation:

Answer:

B. 22 feet.

Step-by-step explanation:

The width is adding 2 feet for every time the length is adding 8 feet. So, 88+8=96, and 20+2=22.

Answer:

The answer is [tex](x-9) (x-3)[/tex].

Step-by-step explanation:

This is because when you multiply them together you get

[tex]x^{2}[/tex], [tex]-9x[/tex], [tex]-3x[/tex], and [tex]27[/tex]

When you add the like terms you get,

[tex]x^{2} - 12x +27[/tex]

Answer:

  y = -5/4x -19

Step-by-step explanation:

It is often convenient to simplify a point-slope form of the equation.

  y = m(x -h) +k . . . . . line with slope m through (h, k)

  y = -5/4(x -(-8)) -9 . . . . fill in given values

  y = -5/4x -10 -9

  y = -5/4x -19

Problem 1

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

Explanation:

Add the equations straight down.

The x terms add to 5x+(-3x) = 2x

The y terms cancel out since 3y+(-3y) = 0y = 0

The right hand sides add to -7+3 = -3

After adding the equations you should get 2x = -4 which solves to x = -2

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

Problem 2

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

Explanation:

Since 5x = 0, this means x = 0 after dividing both sides by 5.

Use this to find y

y = -4x+4

y = -4(0)+4

y = 4

If you want the value of z, then

x = -3y+z+6

0 = -3(4)+z+6

0 = z-6

6 = z

z = 6

Answer:

Vertical Angles!

Step-by-step explanation:

Very simple!

Vertical angles are a pair of angles that are equal in degree measure.

Essentially, they are equal to each other. Nothing more to it.

This means that [tex]29=2x+3[/tex]!

I presume you have done math before, so this solves to be: [tex]x=13[/tex]

(I don't have a degree sign, but it should be there in your answer.)

Hope this helps!

P.S. How's life?

Answer:

x=6

Step-by-step explanation:

The picture is a little unclear but I hope this is true...

To find the perimeter you need to add the sides of the triangles and the question says that the perimeters of the triangles are equal. So,...

(2x+4)+(2x)+(2x+3)=(3x+1)+(2x)+(2x)

2x+4+2x+2x+3=3x+1+2x+2x

4+2x+3=3x+1

7+2x=3x+1

2x-3x=1-7

-x=-6

x=6

Answer:

The point-slope form of the line is y - 3 = -2(x + 2)

Step-by-step explanation:

The point-slope form of the equation of a line is

y - y1 = m(x - x1), where

The rule of the slope is [tex]m=\frac{y2-y1}{x2-x1}[/tex] , where

Let us use these rules to solve the question

∵ (-2, 3) and (0, -1) are two points on the line

∴ x1 = -2 and y1 = 3

∴ x2 = 0 and y2 = -1

→ Substitute them in the rule of the slope to find it

∵ m = [tex]\frac{-1-3}{0--2}=\frac{-4}{0+2}=\frac{-4}{2}=-2[/tex]

∴ m = -2

→ Substitute the value of m and point (-2, 3) in the form of the

   equation above

∵ m = -2 and (x1, y1) = (-2, 3)

∴ y - 3 = -2(x - -2)

→ Remember (-)(-) = (+)

∴ y - 3 = -2(x + 2)

∴ The point-slope form of the line is y - 3 = -2(x + 2)

Answer:

B is the answer

Step-by-step explanation:

the rulers at store a cost much

Answer:

Step-by-step explanation:

Explaining the Basic Concept:

This is a piecewise function, which means that it is made up of several different functions which all have different domains

In this question, we have 3 'pieces' in our piecewise function

the domain of each piece is:

1.   x < -1

2.  -1 ≤ x ≤ 2

3.  x > 2

we will use the function related with the respective domain

Finding the values of the function:

h(-4)

Here, our input value is -4

we notice that -4 is in part of the first domain

therefore, -4 is in the domain of the first function

So, we will use the first function

h(x) = -(x/4) + 2           (for x < -1)

replacing x with -4

h(-4) = -(-4/4) + 2

h(-4) = 1 + 2

h(-4) = 3

h(1):

Here, our input value is 1

we notice that 1 is a part of the second domain

Hence, 1 is in the domain of the second function

So, we will use the second function

h(x) = -(x-1)² + 2            (for -1 ≤ x ≤ 2)

replacing x with 1

h(1) = -(1-1)² + 2

h(1) = -(0)² + 2

h(1) = 2

h(2):

Here, out input value is 2

We notice that 2 is a part of the second domain

Hence, 2 is a part of the domain of the second function

So, we will use the second function

h(x) = -(x-1)² + 2            (for -1 ≤ x ≤ 2)

replacing x with 2

h(2) = -(2-1)² + 2

h(2) = -(1)² + 2

h(2) = - 1 + 2

h(2) = 1

Therefore:

h(-4) = 3

h(1) = 2

h(2) = 1

Answer:

each bus has cost $2 thats it