Answer:
The probability is [tex]P( X > 39000) =0.01[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = \$ 32000[/tex]
The standard deviation is [tex]\sigma = \$ 3000[/tex]
Generally the probability that they make more than $39,000 is mathematically represented as
[tex]P( X > 39000) = P( \frac{X - \mu }{\sigma } > \frac{39000 - 32000}{3000} )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P( X > 39000) = P(Z > 2.33 )[/tex]
From the z table the area under the normal curve to the right corresponding to 2.33 is
[tex]P(Z > 2.33 ) = 0.01[/tex]
So
[tex]P( X > 39000) =0.01[/tex]
The probability they make more than $39,000 is 1%
Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:
[tex]z=\frac{x-\mu}{\sigma} \\\\where\ x=raw\ score,\mu=mean,\sigma=standard\ deviation\\\\Given \ that:\\\\\mu=32000,\sigma=3000.For\ x>39000:\\\\z=\frac{39000-32000}{3000}=2.33[/tex]
From the normal distribution table:
P(x > 39000) = P(z > 2.33) = 1 - P(z < 2.33) = 1 - 0.9901 = 0.0099 = 1%
Therefore the probability they make more than $39,000 is 1%
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please answer correctly see image bellow.
Answer:
51.9 sec
Step-by-step explanation:
A line passes through the point (10,9) and has a slope of 3/2. Write an equation in slope intercept form for this line
Answer:
The equation of line passing through (10,9) and having slope 3/2 is: [tex]y = \frac{3}{2}x-6[/tex]
Step-by-step explanation:
The slope intercept form of a line is given by:
[tex]y=mx+b[/tex]
We are given
Slope = m = 3/2
Point = (10,9)
Putting the value of the slope in the equation we get
[tex]y = \frac{3}{2}x+b[/tex]
b is the y-intercept. To find the y-intercept we have to put the point through which the line passes in the equation.
Putting (10,9) in the equation
[tex]9 = \frac{3}{2}(10) +b\\9 = 15+b\\b = 9-15\\b = -6[/tex]
Putting b=-6 in the equation
[tex]y = \frac{3}{2}x-6[/tex]
Hence,
The equation of line passing through (10,9) and having slope 3/2 is: [tex]y = \frac{3}{2}x-6[/tex]
HHHHHHHHHHHHHHHHEEEEEEEEEEEEEEEEEEELLLLLLLLLLLLLLLPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPpppppppppJane sells pillows. For a sale, she marks them down 5%. If the original price of a pillow is $15.00, what is the sale price?
Answer:
$ 14.25 this is probably the answer
The required two expressions are
(1-0.05)P
0.95 P
Step-by-step explanation:
First method : Here, the original price of pillow = P,
She marks them down 5%
Thus, the selling price = P - 5% of P = P - 0.05 P = (1-0.05)P
Second method :
Since, some number is 100% of itself,
⇒ 100 % = P
⇒ 1 % = P/100 = 0.01 P
Also, by decreasing 5 % from 100 %
The remaining percentage = 100 - 5 = 95%
⇒ 95 % = 95 × 0.01 = 0.95 P
Work out the percentage change to 2 decimal places when a price of £12 is increased to £15.99. Work out the percentage change to 2 decimal places when a price of £12 is increased to £15.99.
Answer:
[tex]\%Increase = 33.25\%[/tex]
Step-by-step explanation:
Given
Initial = 12
Final = 15.99
Required
Determine the percentage increment
This is calculated as thus:
[tex]\%Increase = \frac{Final - Initial}{Initial} * 100\%[/tex]
Substitute values for Initial and Final
[tex]\%Increase = \frac{15.99 - 12}{12} * 100\%[/tex]
[tex]\%Increase = \frac{3.99}{12} * 100\%[/tex]
[tex]\%Increase = \frac{3.99* 100\%}{12}[/tex]
[tex]\%Increase = \frac{399\%}{12}[/tex]
[tex]\%Increase = 33.25\%[/tex]
Hence, the percentage increment is 33.25%
According to a college survey, 22% of all students work full time. Find the standard deviation for the random variable X, the number of students who work full time in samples of size 16.
Answer:
1.66
Step-by-step explanation:
Calculation to find the standard deviation for the random variable X of the number of students who work full time in samples of size
Using this formula
Standard deviation(X)=√np(1−p)
Where,
n represent the number of students=16
p represent the percentage of all students who work full time=22
Let plug in the formula
Standard deviation(X)=√16(0.22)(1−0.22)
Standard deviation(X)=√(3.52)(0.78)
Standard deviation(X)=√2.7456
Standard deviation(X)=1.656
Standard deviation(X)=1.66 (Approximately)
Therefore the standard deviation for the number of students who work full time in samples of size 16 will be 1.66
At a local car wash, 25 cars can be washed in an hour. How many cars can go through the car wash in an 8-hour day?
Answer:
200
Step-by-step explanation:
25 cars can be washed in a hour so we do 25×8=200
Solve the proportion 6/y=9/24
Answer:
It would be 16!
Step-by-step explanation:
Step 1 : 6 times 24 is 144
Step 2 : 144/9
Answer 16!
Answer:
ur dad and. ur mom plus ur dad mama ififjfifnfbfndjfkjfif
Robert has fish, chickens, and dogs. There are 28 eyes total and 16 legs total. Also, there are twice as many fish as chickens. How many dogs are there?
PLEASE HELP ASAP WILL GIVE BRAINLEIST
Aubrey owes $60 in interest on a loan of $500. If the loan was borrowed for 3 years, find the interest rate.
Answer
it would be $20 a year so it would be a 4% interest rate
Step-by-step explanation:
Write the slope-intercept form of the equation of the line through the given point with the given slope.
Answer:
1) y = -7 -1x
2) y = + 4.5 + 5/8x
3) y = 4 -1/5x
4) y = -5 + 9x
5) y = 7 + 3/2x
6) y = -6 -1/4x
Step-by-step explanation:
I Hope That This Helps! :)
to the nearest tenth of a unit, what is the distance between (4,5) and (-8,1)?
Answer:
A) 12.6 units
Step-by-step explanation:
A beach is 2 3/5 miles long. Pets are allowed on 1/3 of the beach. How many miles of beach are pets allowed?
Answer:
13/15 of 1 mile, or 0.86666 miles
Step-by-step explanation:
If you are working with fractions, you can take the 2 3/5 miles of beach and convert that to 13/5 (10/5 = 2, then add the 3/5 = 10/5+3/5 = 13/5). Once converted, you can find out how much of that number allows pets by dividing that number by 3, or multiplying the result by 1/3.
13/5 * 1/3 = 13/15.
Another way to do this is to convert the original miles (2 3/5) to a decimal, which gives you 2.6 miles. Then take the 2.6 miles and again, either divide by 3 or multiply by 1/3 (which is basically the same thing). 2.6 ÷ 3 = 0.86666
Hope this helps!
Which represents the solution set of the inequality 5x-921
which is bigger 0.159 or 1.590
Answer:
1.590
Step-by-step explanation:
Answer:
0.159
Step-by-step explanation:its obvious hope this helped tho
-2(1/3x-1/5) please help
Answer: -2/3x+/2/5
Step-by-step explanation:
−2(13x−15)= (−2) (13x + −15) = (−2)(13x)+(−2)(−15)
Answer:
-2/3x +2/5
Step-by-step explanation:
What is the unit rate of 25 rulers in 5 groups
"X is the number of red marbles that Tonya has in her hand after she selects four marbles from a bag containing four red marbles and two green ones and then notes how many there are of each color."
Answer:
Explained below.
Step-by-step explanation:
There are four red marbles (R) and two green marbles (G) in the bag.
The random variable X is defined as the number of red marbles that Tonya has in her hand after she selects four marbles from the bag.
The probability of selecting a red marble is:
[tex]P(X)=\frac{4}{6}=0.667[/tex]
The sample space of X can be defined as follows:
Outcomes: {(RGGG), (RRGG), (RRRG), (RRRR), (RRGR), (RGRR), (GRRR), (RGRG), (GRRG), (RGGR), (GRGR), (GRGG), (GGRG), (GGGR), (GGGG)}
So, the sample space of X is:
S = {0, 1, 2, 3 and 4}
A committee of size 5 is to be selected at random from 3 women and 5 men. The probability distribution for the number of women on the committee is normal.
No
Yes
May be
None of the above
Answer:
no
Step-by-step explanation:
what is the slope of the line through (-1 2) and (-3 -2)
Answer:
m=2
Step-by-step explanation:
Answer:
slope = 2
Step-by-step explanation:
(x₁ , y₁) = (-1 , 2) & (x₂ , y₂) = (-3 , -2)
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\= \frac{-2-2}{-3-[-1]}\\\\= \frac{-4}{-3+1}\\\\= \frac{-4}{-2}\\\\= 2[/tex]
Point e,d, and h are the midpoints of the sides of the triangle TUV. UV = 80, TV=100, and HD = 80
Answer:
Step-by-step explanation:
We will use to midsegment theorem to solve this question.
Midsegment theorem,
Segment joining the midpoints of two sides of a triangle, is parallel and and measure the half of the the third side.
7). HE is the midsegment.
HE = [tex]\frac{1}{2}(VU)[/tex]
= [tex]\frac{1}{2}\times (80)[/tex]
= 40
8). ED = [tex]\frac{1}{2}\times (TV)[/tex]
= [tex]\frac{1}{2}(100)[/tex]
= 50
9). HD = [tex]\frac{1}{2}(TU)[/tex]
TU = 2(HD)
= 2(80)
= 160
10). TE = [tex]\frac{1}{2}(TU)[/tex]
= [tex]\frac{1}{2}\times 160[/tex]
= 80
see image help me as fast as possible, please
Suppose you have a $3-off coupon at a fabric store. You buy fabric that costs $9.50 per yard. Write an equation that models the total amount of money y you pay if you buy x yards of fabric. What is the graph of the equation?
Choose the correct pair of expressions to complete the solution of Sine (x + StartFraction 3 pi Over 2 EndFraction) = negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction, left-bracket 0, 2 pi right-bracket : blank times 0 + cosine x times blank minus StartFraction StartRoot 3 EndRoot Over 2 EndFraction:
cos x, 0
–sin x, –1
sin x, –1
–cos x, 0
Answer: C, sin(x), -1
Step-by-step explanation:
Edge;)
Answer:
C
Step-by-step explanation:
just took test :)
Solve the following equation for y: -4x+8y=24
Answer: y = 3 + x/2
Step-by-step explanation:
2/? x 4/2 = 8/14
:>>
Answer: 7
Step-by-step explanation: 2x4=8. 7x2=14.
The unknown value in the given expression is 7.
What is an expression?An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.
Given is an expression 2/? x 4/2 = 8/14, we need to find the unknown value,
So,
2/? x 4/2 = 8/14
8/2? = 8/14
1/2? = 1/14
2? = 14
? = 14/2
? = 7
Hence, the unknown value in the given expression is 7.
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In Jayce's favorite video game, he collects stars to earn points. Today, he collected 80 silver stars and earned 160 points. He also collected 30 gold stars and earned 150 points. How many more points per star does Jayce earn from gold stars?
Jayce earns 3 more points from gold stars than from silver stars.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.
Given that Jayce collected 80 silver stars and earned 160 points.
He collected 30 gold stars and earned 150 points.
Therefore,
The points per star Jayce earns from silver stars
160/80=2,
The points per star Jayce earns from gold stars
150/30=5
Hence, Jayce earns 3 more points from gold stars than silver stars.
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Kenneth bought x adult tickets at $10 each and y children tickets at $5
each. He spent $120 total. Write an equation to represent this situation.
Then, solve for y.
Answer:
10x+5y=120
y=-2x+24
Step-by-step explanation:
x=adult tickets
y=children tickets
120=total spent
10x+5y=120
5y=120-10x
y=(120/5)-(10x/5)
y=24-2x or y=-2x+24
Name
Date
Class
LESSOn
10-2
Graphing Systems of Linear Inequalities
Practice and Problem Solving: Modified
Answer:
kpealeakara
Mon. Nov. 16 2020
ss1
8
Answer:
8 is your answer am right or wrong
6. The ancient Babylonians were writing fractions in 1800 BCE. But they did not have a concept of zero until about 1489 years later. In what year did the Babylonians develop the concept of zero
Answer:
hio
Step-by-step explanation:
hi
As early as 4,000 years ago, but the first recorded use of a zero-like symbol dates to sometime around the third century B.C. in ancient Babylon.
Given that, the ancient Babylonians were writing fractions in 1800 BCE.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
In fact, at first, fractions weren't even thought of as numbers in their own right at all, just a way of comparing whole numbers with each other.
The word fraction actually comes from the Latin "fractio" which means to break. To understand how fractions have developed into the form we recognize, we'll have to step back even further in time to discover what the first number systems were like.
From as early as 1800 BC, the Egyptians were writing fractions. Their number system was a base 10 idea (a little bit like ours now) so they had separate symbols for 1, 10, 100, 1000, 10000, 100000 and 1000000.
Hence, as early as 4,000 years ago, but the first recorded use of a zero-like symbol dates to sometime around the third century B.C. in ancient Babylon.
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There are 52 students in the seventh grade. If 25% are absent on a particular day, find the number of students present in the grade.