1. Lauri worked full-time at a health club last year earning $23,000. Last year. $1.090 in earnings was needed for one

Social Security credit. Lauri earned 4 credits for the year. (apts)

a. True

b. False

Answer:

Step-by-step explanation:

567 ÷ 12

= 47.25

Answer:

47.25

Step-by-step explanation:

Answer:

a. The probability that a particular student arrives by car is [tex]\frac{1}{20}[/tex] = 0.05, which equals 5%.

b. The probability that a particular student walks to school is [tex]\frac{3}{10}[/tex] = 0.3, which equals 30%.

c. The probability that a particular student does not walk to school is [tex]\frac{7}{10}[/tex] = 0.7, which equals 70%.

d. The probability that a particular student does not walk or come by car is [tex]\frac{13}{20}[/tex] = 0.65, which equals 65%.

Step-by-step explanation:

Probability is the greater or lesser possibility of a certain event occurring. In other words, probability establishes a relationship between the number of favorable events and the total number of possible events. Then, the probability of any event A is defined as the quotient between the number of favorable cases (number of cases in which event A may or may not occur) and the total number of possible cases. This is called Laplace's Law.

[tex]P(A)=\frac{number of favorable cases}{number of possible cases}[/tex]

In this case, the number of possible cases is always the same, which is equal to the total number of students. So the number of possible cases is 320 students. The number of favorable cases varies as follows:

a. Number of favorable cases= number of students that arrive by car= 16

So: [tex]P(A)=\frac{16}{320}[/tex]

P(A)=[tex]\frac{1}{20}[/tex] = 0.05, which equals 5%

The probability that a particular student arrives by car is [tex]\frac{1}{20}[/tex] = 0.05, which equals 5%.

b. Number of favorable cases= number of students that walk to school= 96

So: [tex]P(A)=\frac{96}{320}[/tex]

P(A)=[tex]\frac{3}{10}[/tex] = 0.3, which equals 30%

The probability that a particular student walks to school is [tex]\frac{3}{10}[/tex] = 0.3, which equals 30%.

c. Number of favorable cases= number of students that do not walk to school = 320 students - number of students that walk to school= 320 students - 96 students= 224 students

So: [tex]P(A)=\frac{224}{320}[/tex]

P(A)=[tex]\frac{7}{10}[/tex] = 0.7, which equals 70%

The probability that a particular student does not walk to school is [tex]\frac{7}{10}[/tex] = 0.7, which equals 70%.

d. Number of favorable cases= number of students that do not walk or come by car= 320 students - number of students that walk to school - number of students that arrive by car= 320 students - 96 students - 16 students= 208 students

So: [tex]P(A)=\frac{208}{320}[/tex]

P(A)=[tex]\frac{13}{20}[/tex] = 0.65, which equals 65%

The probability that a particular student does not walk or come by car is [tex]\frac{13}{20}[/tex] = 0.65, which equals 65%.

Answer:

630

Step-by-step explanation:

15×2=30

40×(-15)=-600

30-(-600)=630

Answer:

cubic trinomial

Step-by-step explanation:

can I have brainllest

The histogram representing the data is attcwhwd in the picture below.

Answer:

C On exactly 25% of these days, Shane drank 3 to 4 glasses of water.

Step-by-step explanation:

The number of 8 - ounce glasses is represented on the x - axis and the number of days on the y - axis.

From the histogram ;

Shane drank 1 - 2 glasses on exactly 1 day

Shane drank 3 - 4 glasses on exactly 3 days

Shane drank 5 - 6 glasses on exactly 6 day

Total number of days = 12

60% of 12 = 7.2

On exactly 60% of the days, which is 7.2 days, number of glasses drunk isn't covered by the histogram

25% of 12 ; 0.25 * 12 = 3 days

From the histogram, number of glasses consumed is 3 - 4 glasses ; which is the only true statement about the histogram in the options given.

Answer:

[tex]sa = \pi {d}^{2} \\ = {6}^{2} \pi \\ = 36\pi \\ [/tex]

N=36

Answer:

Answer attached

Step-by-step explanation:

Answer:

X = 2

Step-by-step explanation:

-1/2X+4= X+ 1

Add 1/2X to each side

-1/2X+ 1/2 X+4= X+ 1 + 1/2 X

4 = 3/2 X +1

Subtract 1 from each side

4-1 = 3/2 X +1-1

3 = 3/2 X

Multiply each side by 2/3 to isolate x

3 * 2/3 = 3/2 X * 2/3

2 =X

Answer:

1: the answer is 6x

2: its 39

Step-by-step explanation:

for 1 I I used 8 x X = 8x - 2 = 6x.

for 2 all I did was substrac 3 out of 42 which gave me 39

Good luck

Answer:

four million, one hundred ninety three thousand, five hundred thirty eight

Step-by-step explanation:

Answer:

Four million, one hundred ninety-three thousand, five hundred thirty-eight

Step-by-step explanation:

Answer:

x < -3

Step-by-step explanation:

1. multiply both sides by 2

2. isolate the x by adding 11 to both sides

3. simplify

(i have included an attachment showing the work for clarification)

Answer:

-16

Step-by-step explanation:

[tex]28-(\sqrt{44} )^2\\28 - (44)\\-16[/tex]

When you square a square root, the number inside is the answer.

Answer: 7 hours

Step-by-step explanation: Driving one kilometer per hour, all you have to do is divide 700/100 to get your answer which is seven.

Answer:

In a triangle the sum of any two sides must be greater than the third side. We have 3+4=7 which is less than 8. So this triangle is never true.

b. The third side must be equal to or greater than 7 inches

Step-by-step explanation:

pleae mark this answer as brainlest

Answer:

141.4 centimeters

Step-by-step explanation:

circumference = diameter * pi c = d * pi c = 45 * 3.1416 c = 141.4 (rounded)

Answer:

C= 141.37

Step-by-step explanation: go0gle

Answer:

h = 6 feet

Step-by-step explanation:

Given that,

The volume of a right rectangular prism = 192 cubic feet

The area of the base of the pool is 32 square feet.

We need to find the height of the prism. We know that the volume of a right rectangular prism is given by :

[tex]V=lbh[/tex]

We have, V = 192 cubic feet, lb = 32 sq feet

So,

[tex]h=\dfrac{V}{lb}\\\\h=\dfrac{192}{32}\\\\=6\ feet[/tex]

So, the height of the prism is equal to 6 feet.

Answer:

Step-by-step explanation:

(2x) (4x)= 8x = 3x+2

i think but i dont know if this is an exponential equation

Answer:A

Step-by-step explanation:

Answer:

PQRST

Step-by-step explanation:

This one cannot be be mapped by similarity transformations as its dimensions/proportions don't match those of the others.

Answer:

PQRST

Step-by-step explanation:

Answer:

Binomial

Step-by-step explanation:

A binomial has two terms. Each term consists of a coefficient, and a variable with an exponent. We can see the two terms:

6x (the exponent would be 1) + 3 (the variable and exponent would be x to the 0. Any variable to the power of 0 is equal to 1, which is why it's not shown)

Answer:

[tex]A.\ {28, 30, 58}[/tex]

Step-by-step explanation:

Required

Which of the lengths do not form a triangle

To do this, we make use of triangle inequality theorem which states that.

[tex]a + b > c[/tex]

[tex]b + c > a[/tex]

[tex]a + c > b[/tex]

Where [tex]a,\ b\ and\ c[/tex] are the sides of the triangle.

So, we have:

[tex]A.\ {28, 30, 58}[/tex]

[tex]28 + 30 > 58[/tex] --- False

[tex]58 + 30 > 28[/tex] --- True

[tex]28 + 58 > 30[/tex] --- True

[tex]B.\ {32, 34, 60}[/tex]

[tex]32 + 34 > 60[/tex] -- True

[tex]32 + 60 > 34[/tex] -- True

[tex]34 + 60 > 32[/tex] -- True

[tex]C.\ {13, 20, 27}[/tex]

[tex]13 + 20 > 27[/tex] -- True

[tex]13 + 27 > 20[/tex] -- True

[tex]20 + 27 > 13[/tex] --- True

[tex]D.\ {2, 4, 5}[/tex]

[tex]2 + 4 > 5[/tex] --- True

[tex]2 + 5 > 4[/tex] -- True

[tex]5 + 4 > 2[/tex] --- True

From the computations above, only (A) cannot form a triangle

Answer:

Below in bold.

Step-by-step explanation:

C1 = 180 - C2

= 180 -  (170-2x)

= 10 + 2x

So B3 = 10+2x (alternate angles).

and B2 = 90 - B3

= 90 - (10 + 2x)

= 80 - 2x.

Answer:

2/5

Step-by-step explanation:

probability it is  a beret = total number of berets / total number of hats

6/15

To transform to the simplest form. divide both the numerator and the denominator by 3

2/5

Answer:

188

Step-by-step explanation:

16/120=0.133

0.133 times 100=13.3%

this means 25 eagles is only 13.3% of the population

therefore 25/0.13=188

Answer:

The answer is 21.4.

Step-by-step explanation:

Hope this helps!

Answer:

21.4 is correct =)

Step-by-step explanation:

9514 1404 393

Answer:

  25.2 in³

Step-by-step explanation:

The volume of the box is ...

  V = LWH

  V = (3 in)(4 in)(6 in) = 72 in³

__

65% of the box is filled with a toy, so the remaining 100% -65% = 35% is filled with packing beads. The volume of packing beads required is ...

  0.35 × 72 in³ = 25.2 in³

25.2 in³ of foam packing beads are used to fill each box.

Answer:

find the two points on the graph and do rise over run

Step-by-step explanation:

go to point (-2,0) and then go up and over to point (2,3)

Given:

The length of the rectangle is:

[tex]l=x^2-x+3[/tex]

The width of the rectangle is:

[tex]w=4x+1[/tex]

To find:

The area of the given rectangle in the simplest form.

Solution:

We know that, the area of a rectangle is:

[tex]A=l\times w[/tex]

Where, l is the length and w is the width of the rectangle.

Using the above formula, the area of the given rectangle is:

[tex]A=(x^2-x+3)\times (4x+1)[/tex]

[tex]A=x^2(4x)+x^2(1)-x(4x)-x(1)+3(4x)+3(1)[/tex]

[tex]A=4x^3+x^2-4x^2-x+12x+3[/tex]

[tex]A=4x^3-3x^2+11x+3[/tex]

Therefore, the area of the given rectangle is [tex](4x^3-3x^2+11x+3)[/tex] sq. units.

Answer:

a(4) = 1.5(-36) = -54

Step-by-step explanation:

a(1) = -16 is given.

a(n) = 1.5*a(n-1).  

a(2) = 1.5(-16) = -24

a(3) = 1.5(-24) = - 36

a(4) = 1.5(-36) = -54

[tex]\huge{\mathbb{\tt { QUESTION:}}}[/tex]

[tex]\huge{\mathbb{\tt {ANSWER:}}}[/tex]

[tex] \{\boxed{\boxed{\tt {a(4) = 1.5(36) = -54 }}}[/tex]

[tex]\huge{\mathbb{\tt {EXPLANATION:}}}[/tex]

[tex]a(1) = - 16 \\ a(n) = 1.5 \times a(n - 1) \\ a(2) = 1.5( - 16) = - 24 \\ a(3) = 1.5( - 24) = - 36 [/tex]

[tex] \{\boxed{\boxed{\tt {a(4) = 1.5(36) = -54 }}}[/tex]

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