Kevin earns $306.25 each week at his job. He is paid $8.75 per hour. How many hours does Kevin work each week?

Answer:

x = 1/2 , x = -1/2

Step-by-step explanation:

Given equation;

169x² - 42.25

Find:

Solution of equation using square root

Computation:

169x² - 42.25

We know that 13² = 169 and 6.5² = 42.25

So,

[13x]² - [6.5]²

a² - b² = (a + b)(a - b)

So,

[13x]² - [6.5]² = [13x + 6.5][13x - 6.5]

So,

13x + 6.5 = 0 , 13x - 6.5 = 0

x = 6.5 / 13 , x = -6.5 / 13

x = 1/2 , x = -1/2

Answer:

8-3=8-3

Step-by-step explanation:

Answer:

126

Step-by-step explanation:

What is the volume of a figure with that is 2 inches wide, 7 inches tall and 9 inchesn = Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.    

2x7x9 = 126

Answer:

126 inches³

Step-by-step explanation:

The volume of a figure is l×w×h.

So,

9 × 2 × 7 = 126

Answer:

Step-by-step explanation:

MP=NQ

3x-2=2x+8

x=10

MP=3x-2=28

NQ=2x+8=28

Answer:

I dont know can u explaining more

Step-by-step explanation:

its not clear too much

Answer:

a) 0.9938 = 99.38% probability that the boxes will end up with at least 1 pound of cereal

b) 16.121 ounces.

c) 16.0664 ounces.

d) Between 16.0342 and 16.1658 ounces.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 16.1 ounces, standard deviation of 0.04 ounces. So

[tex]\mu = 16.1, \sigma = 0.04[/tex]

(a) What is the probability of the boxes will end up with at least 1 pound of cereal?

One pound is 16 ounces, so this is 1 subtracted by the pvalue of Z when X = 16. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{16 - 16.1}{0.04}[/tex]

[tex]Z = -2.5[/tex]

[tex]Z = -2.5[/tex] has a pvalue of 0.0062

1 - 0.0062 = 0.9938

0.9938 = 99.38% probability that the boxes will end up with at least 1 pound of cereal.

(b) The seventy percent of the boxes will contain less than what number of ounces?

Less than the 70th percentile, which is X when Z has a pvalue of 0.7. So X when Z = 0.525.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]0.525 = \frac{X - 16.1}{0.04}[/tex]

[tex]X - 16.1 = 0.525*0.04[/tex]

[tex]X = 16.121[/tex]

16.121 ounces.

(c) Eighty percent of the boxes will contain more than what number of ounces?

More than the 100 - 80 = 20th percentile, which is X when Z has a pvalue of 0.2. So X when Z = -0.84.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.84 = \frac{X - 16.1}{0.04}[/tex]

[tex]X - 16.1 = -0.84*0.04[/tex]

[tex]X = 16.0664[/tex]

16.0664 ounces.

(d) The middle 90% of the boxes will be between what two weights?

Between the 50 - (90/2) = 5th percentile and the 50 + (90/2) = 95th percentile.

5th percentile:

X when Z has a pvalue of 0.05, so X when Z = -1.645.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.645 = \frac{X - 16.1}{0.04}[/tex]

[tex]X - 16.1 = -1.645*0.04[/tex]

[tex]X = 16.0342[/tex]

95th percentile:

X when Z has a pvalue of 0.95, so X when Z = 1.645.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]1.645 = \frac{X - 16.1}{0.04}[/tex]

[tex]X - 16.1 = 1.645*0.04[/tex]

[tex]X = 16.1658[/tex]

Between 16.0342 and 16.1658 ounces.

It can be deduced that the probability of the boxes ending up with at least 1 pound of cereal will be 99.38%.

The Z score based on the information will be:

Z = (16 - 16.1) / 0.04

Z = -2.5

Therefore, the p value is 0.0062. The probability will be:

= 1 - 0.0062

= 0.9938

The seventy percent of the boxes will contain less than 16 ounces. The ounces that will be contained in the eighty percent will be:

= -0.84 = (X - 16.1) / 0.04

X = 16

Lastly, the middle 90% of the boxes will be between 16.03 ounces 16.17 ounces.

Learn more about probability on:

https://brainly.com/question/25870256

Answer:

first one is =

second one is ≥

third one is =

forth one is =

Answer:

the answer is 29.7

Step-by-step explanation:

inverse tangent of (4/7)

Answer:

Answer 2  i think

i did it myself and that what got i might have done it wrong.

Answer:

9+8=17+9+9=18=35+9=44

Answer:

4x+12/x^2+9

Step-by-step explanation:

Perimeter

x+3+x+3+x+3+x+3

Area

(x+3)(x+3)

9514 1404 393

Answer:

  80

Step-by-step explanation:

The distance formula tells you the distance between the points is ...

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((4 -(-4))² +(5 -1)²) = √(8² +4²) = √(64 +16)

  d = √80

The number under the radical is 80.

Answer:

I think 44 degrees

Step-by-step explanation:

73-29=44

Answer:

44

Step-by-step explanation:

The value of u, combined with the angle directly next to it (with the measurement of 29°), is a vertical angle to the opposite given angle (73°).

Note that, by the definition of vertical angles, angles directly next and opposite of each other have the same measurement. Set the equation:

u + 29 = 73

Isolate the variable, u. Note the equal sign, what you do to one side, you do to the other. Subtract 29 from both sides:

u + 29 (-29) = 73 (-29)

u = 73 - 29

u = 44

44° is your answer for u.

~

Answer:

B. M - J = 6

Step-by-step explanation:

Mike won 6 more games than Jeanie

so J + 6 = M

Subtract J from both sides of the equation

J - J + 6 = M - J

Simplify

6 = M - J

or

M - J = 6

Answer:

(5,-3)

Step-by-step explanation:

Given that,

The coordinates of Q = (3,1)

The midpoint of QR = (4,-1)

We need to find the coordinates of point R.

We know that, according to mid-point theorem,

[tex](x_m,y_m)=(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2})[/tex]

Let (x₂,y₂) be the coordinates of point R.

So,

[tex](4,-1)=(\dfrac{3+x_2}{2},\dfrac{1+y_2}{2})\\\\\dfrac{3+x_2}{2}=4\ and\ \dfrac{1+y_2}{2}=-1\\\\3+x_2=8\ and\ y_2+1=-2\\\\x_2=5\ and\ y_2=-3[/tex]

So, the coordinates of point R is (5,-3).

Answer: 0.5625

Step-by-step explanation:

Using the binomial distribution, it is found that the probability that a player will toss the die at least 2 times before blue lands face up is:

D 0.5625

For each toss, there are only two possible outcomes, either blue lands face up, or it does not. The probability of blue landing face up on a toss is independent of any other toss, which means that the binomial distribution is used to solve this question.

Binomial probability distribution

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability that a player will toss the die at least 2 times before blue lands face up is P(X = 0) when n = 2, hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 0) = C_{2,0}.(0.25)^{0}.(0.75)^{2} = 0.5625[/tex]

Hence, option D is correct.

A similar problem is given at https://brainly.com/question/24863377

Answer:

See below

Step-by-step explanation:

1. True

2. False

3. True

Answer:

D. -7

Step-by-step explanation:

Since positive 7 represents a gain of seven yards, a loss would be represented by a negative number.

So, a loss of seven yards will be represented by -7.

So, the correct answer is D. -7

Answer: 1075 sq. ft

Step-by-step explanation:

A = length times width

First split the shape into two rectangles

Area of rec 1 = 25 times 8 = 200

Area of rec 2 = 35 times 25 = 875

200+875 = 1075 sq. ft

Answer:

no

Step-by-step explanation:

(6,0) would be 0 = 8(6), so no

Answer:

(36/4)-(36/9)=5

(8*3)-12=12

Answer:

(36÷4) - (36÷9) = 5

(8x3) - 12 = 12

Answer:

c

Step-by-step explanation:

trust me i am did the test aredy

Answer:

Both are wrong.

Step-by-step explanation:

We have that:

Both decomposed the fraction [tex]\frac{13}{8}[/tex] into a sum of fractions. Whoever's decomposition sum has a value of [tex]\frac{13}{8}[/tex] is correct.

David:

[tex]1 + \frac{1}{8} + \frac{3}{8} = \frac{8}{8} + \frac{1}{8} + \frac{3}{8} = \frac{8+1+3}{8} = \frac{12}{8}[/tex]

[tex]\frac{12}{8} \neq \frac{13}{8}[/tex], which means that David is wrong.

Patti

[tex]\frac{4}{8} + \frac{2}{8} + \frac{5}{8} = \frac{4+2+5}{8} = \frac{11}{8}[/tex]

[tex]\frac{11}{8} \neq \frac{13}{8}[/tex], which means that Patti is wrong.

So the answer is that both are wrong.