Answer:
a
[tex]P(29.81 < X < 35) = 0.21141[/tex]
b
[tex]P( X > 35) =0.28859[/tex]
c
[tex]P( X < 20) =0.14601[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = \$29.81[/tex]
The standard deviation is [tex]\sigma = \$9.31[/tex]
Generally the probability that the hourly pay of a randomly selected flight attendant Is between the mean and $35.00 per hour is mathematically represented as
[tex]P(29.81 < X < 35) = P( \frac{ 29.81 - 29.81 }{9.31} < \frac{x - \mu }{\sigma} < \frac{ 35 - 29.81 }{9.31} )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P(29.81 < X < 35) = P( 0 < Z < 0.5575 )[/tex]
=> [tex]P(29.81 < X < 35) = P( Z < 0.5575) - P( Z < 0)[/tex]
From the z table the area under the normal curve to the left corresponding to 0 and 0.5575 is
[tex]P( Z < 0) =0.5[/tex]
and
[tex]P( Z < 0.5575) = 0.71141[/tex]
=> [tex]P(29.81 < X < 35) = 0.71141 - 0.5[/tex]
=> [tex]P(29.81 < X < 35) = 0.21141[/tex]
Generally the probability that the hourly pay of a randomly selected flight attendant Is more than $35.00 per hour is mathematically represented as
[tex]P(X > 35) = P( \frac{x - \mu }{\sigma} > \frac{ 35 - 29.81 }{9.31} )[/tex]
[tex]P( X > 35) = P( Z > 0.5575 )[/tex]
From the z table the area under the normal curve to the right corresponding to 0.5575 is
[tex]P( Z > 0.5575 ) = 0.28859[/tex]
=> [tex]P( X > 35) =0.28859[/tex]
Generally the probability that the hourly pay of a randomly selected flight attendant Is less than $20.00 per hour is mathematically represented as
[tex]P(X <20 ) = P( \frac{x - \mu }{\sigma} < \frac{20 - 29.81 }{9.31} )[/tex]
[tex]P( X < 20) = P( Z < -1.0537 )[/tex]
From the z table the area under the normal curve to the right corresponding to -1.0537 is
[tex]P( Z < -1.0537 ) = 0.14601[/tex]
=> [tex]P( X < 20) =0.14601[/tex]
Please Help! Given triangles ABC and DEF, which statement explains a way to determine if the two figures are similar?
Verify corresponding pairs of angles are congruent by translation.
Verify corresponding pairs of sides are congruent by dilation.
Verify corresponding pairs of angles are congruent by dilation.
Verify corresponding pairs of sides are congruent by translation.
Answer:
A- Verify corresponding pairs of ANGLES are congruent by TRANSLATION.
Step-by-step explanation:
You find the congruent pairs by the angles, not the sides. Because the sides can be the same size but the angles can possibly not be congruent so you check by the angles. And Translation because you don't change the size of the object to see if it's congruent.
Similar triangles may or may not have congruent side lengths.
The true statement is: (a) verify corresponding pairs of angles are congruent by translation.
For the two triangles to be similar, the side lengths of both triangles may or may not be equal.
This means that: options (b) and (d) are not true
Translation does not alter side lengths and angles, while dilation alters measure of angles.
This means that:
The pair of corresponding angles should be checked by translating the triangles.
Hence, the true statement is: (a)
Read more about similar and congruent triangles at:
https://brainly.com/question/19589236
Complete each congruence. Which is the correspondent side indicated in this picture.
Answer:
Option A
Step-by-step explanation:
Since they are congruent triangles, all the lengths are the same, but it’s just that triangle XYZ is flipped upside down. So if you flip it up to match triangle RTS, then XY is the same as RT.
Hope this helps :)
Will give you Brainliest if your provide a valid answer and explanation!
Please don't steal my points, this is graded and really need help :/
Q: The wheels on Parker's bike have a circumference of about 50 feet. How far does the bike travel as the wheel makes 3 complete rotations? Remember to explain your answer!
Answer:
150 feet i think
Step-by-step explanation:
50*3=150
Help me plz:))) I’ll mark u brainliest
Answer:
20, 20, 22
Step-by-step explanation:
A family has bags of popcorn in their cabinet. Each bag of popcorn has kernels in it. How many kernels of popcorn are in the cabinet?
Answer:
can you screen shot the question please
margo borrows $900.00 and must pay it back with 6% interest after 7 months. what is the total amount margo will pay back ?
Answer:
$954
Step-by-step explanation:
6% = 0.06
Adding 1 to the interest makes it so it’s added to the original amount.
$900 x 1.06 = $954
What is 10x100000
Help please ;(
Answer:
100000
Step-by-step explanation:
10x10=100
100x10=1000
1000x10=10000
10000x10=100000
What are the x and y intercepts?
Answer:
x intercepts are -1, 1, and 2. y intercept is 4.
hope that helps
Step-by-step explanation:
. For every 3 lemons Chrissy buys at a farm stand,
the total cost increases by $1.80.
The constant of proportionality is ?
An equation that relates the total cost, y, and the
number of lemons, x, is y = ? x.
Use the equation you wrote to complete the table.
Step-by-step explanation:
For every 3 lemons Chrissy buys at a farm stand, the total cost increases by $1.80.
cost or 1 lemon = 1.8/3 = $0.6
It means the constant of proportionality is 0.6
If there are x no of lemons, then the total cost will be given by :
y = 0.6x
Hence, this is the required solution.
Answer:
The answer is 0.6
Step-by-step explanation:
Kim creates a model of a building. The scale of her model building is 1 foot to inch. Some of the measurements are
shown in the table
Enter numbers in the empty boxes to correctly complete the table.
Building (feet) Model (inches)
Height
128
Length of Base
Width of Base
80
6.25
Answer:
height: 16 inch
length of base: 10 inch
width of base: 50 feet
Step-by-step explanation:
128*(1/8)=16 inch
80*(1/8)=10 inch
x*1/8=6.25
x=6.25*8=50 feet
The height and length of the model will be 16 in and 10 in respectively, and the width of the building will be 50 feet.
What is scale factor?A scale factor is defined as the ratio between the scale of a given original object and a new object, which is its representation but of a different size (bigger or smaller).
Given that, the scale factor of the building and a model of it is 1/8.
Height of the model = 128/8 = 16 in
Length of the model = 80/8 = 10 in
Width of the model = 6.25*8 = 50
Hence, The height and length of the model will be 16 in and 10 in respectively, and the width of the building will be 50 feet.
For more references on scale factor, click;
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A decimal fraction in which a figures is repeated and indefinitely
Answer:
A repeating decimal or recurring decimal is decimal representation of a number whose digits are periodic (repeating its values at regular intervals) and the infinitely repeated portion is not zero.
Step-by-step explanation:
A cereal box says that now it contains 20% more. Originally, it came with 20 ounces of cereal. How much cereal does the box come with now?
Answer:24ounces
Step-by-step explanation:
Multiply 20 ounces by .20 (The percent) then add your answer to the 20 ounces.
the cost for 4 cellphone cases is $36 what is th e cost for 24 cases what is the cost for 20 cases plz help
24 cases would be 104 dollars and 20 would be 80 dollars mark brainliest please
Help me with this question please give The Plan and Proof FIRST ANSWER GETS BRAINLIST
The two triangles are congruent by ASA congruence
angle a is equal to angle c as given
angle 1 is equal to angle 2 because they are vertically opposite
ab and bc are equal because b is the mid point of ac
so therfore abd is congruent to cbe by asa congruence
and by cpct we will get that
bd is equal to be
ad is equal to ec
Jorge plans to save the same amount of money for 6 weeks. He wants to buy a new tent for $110 and a camping pillow for $34. How much money should he save each week to buy both items?
Use partial products to divide 528 ÷ 24. Enter your answer in the box.
Answer:
it 22
Step-by-step explanation:
hope it helped
The value of 524 divided by 24 is 22.
Divide the leftmost digit of the dividend (528) by the divisor (24).
Since 5 is less than 24, we consider the next digit as well, resulting in 52.
Now, divide 52 by 24. The quotient is 2, and the remainder is 4. Write down the quotient above the line.
Multiply the quotient (2) by the divisor (24), which gives us 48.
Subtract the product (48) from the previous step from the 52. The result is 4.
Bring down the next digit of the dividend (8) next to the remainder (4), resulting in 48.
Divide 48 by 24.
The quotient is 2, and there is no remainder.
Write down the quotient (2) above the line.
Therefore, the result of 528 ÷ 24 using partial products is 22.
To learn more on Division click:
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Four times the difference of a number and nine is -30 ."
Answer:
3/2
Step-by-step explanation:
Solve 4 (x - 9) = -30.
4x - 36 = -30
4x = 6
x = 6/4 = 3/2
PLEASE HELP MEEEEE!! WILL MARK BRAINLIST!!
The dot plots show the number of vehicles sold by salespeople at a dealership during two months. Which statement is best supported by the information in the dot plots?
A. The range of the number of vehicles sold is greater in March than in April.
B. The range of the number of vehicles sold is greater in April than in March.
C. The range of the number of vehicles sold each month cannot be determined, because the number of salespeople is different for each month.
D. The range of the number of vehicles sold is the same for each month.
A fine fabric was selling for $ 10.50 a yard. Joni bought 2 1/3 yards. How much did she spend?
Answer:
$24.50
Step-by-step explanation:
10.50 * 2 1/3 = 24.50
I would appreciate brainliest, have an amazing day
Write the following expression in algebraic form.
cos(arcsin 3x)
Answer:
Step-by-step explanation:
If we consider a triangle with the length of the hypotenuse being equal to 1 and the length of the opposite side = 3x.
However, recall that in a right-angle triangle;
SIne = opposite/hypothenuse
Thus; let the angle facing the opposite be y
Then;
SIn y = 3x/1
Sin y = 3x
Thus, y = arcsin (3x)
Now; to find cos(arcsin 3x)
Recall that:
Cosine = adjacent/hypotenuse
Now, using Pythagoras rule;
[tex]\mathsf{Adjacent \ side = \sqrt{(hypotenuse)^2 -(opposite^2)}}[/tex]
[tex]\mathsf{Adjacent \ side = \sqrt{(1)^2 -(3x^2)}}[/tex]
[tex]\mathsf{Adjacent \ side = \sqrt{1 -9x^2}}[/tex]
cos(arcsin 3x) = cos y = adjacent side/hypotenuse = [tex]\dfrac{\sqrt{1 -9x^2}}{1}[/tex]
cos(arcsin 3x) = [tex]\dfrac{\sqrt{1 -9x^2}}{1}[/tex]
Calculate: 8 hours (hrs) = minutes
Answer:
480
Step-by-step explanation:
just looked up 8 hours to minuets
Answer:
the answer is 480 minutes :)
2.42 × 12 It’s nice and easy, 100 pts and brainliest. Ok I know most of you searched it up on the calc so don’t even. Enjoy.
Answer:
29.04
Step-by-step explanation:
i tried doing it without a calculator LOLLL
Tom and Jerry were asked to solve the equation - 2y + 10 = -16. Tom wrote
y = 13 but Jerry wrote 13 = y. Tom is correct, but Jerry is wrong.
A.True
B.False
Answer:
false
Step-by-step explanation:
Both are correct
-2(13)+10=-16
both their answers satisfy the equation
Help please
........................
Answer:
8. (2, 0)
9. (3, 3)
10. equilateral
You have $25 to buy a gift for your friend. If the gift you buy is $22 plus 6% tax, how much change will you receive?
Answer:
24.7
Step-by-step explanation:
Which equation is the slope-intercept form of the line that passes through (6. -11) and is parallel to the graph of y = -2/3x+ 12?
Α. Y=-2/3x-7
B. y=-2/3x-6
C. y= 2/3x-5
D.y= 2/3x-15
Answer:
the answer would be a. As it is the only on parallel that crosses (6,11).
Step-by-step explanation:
The circumference of a circle is 70 cm. Find the area of the circle, rounding your
answer to 3 significant figures.
The diagram below shows a mass suspended on a string called a pendulum.
What energy transformation occurs as the mass moves from point A to B?
A-kinetic energy is converted to potential energy
B-potential energy is converted to kinetic energy
C-chemical energy is converted to electrical energy
D-gravitational energy is converted to chemical energy
Answer:
D-gravitational energy is converted to chemical energy
Step-by-step explanation:
Please give me brainliest
Find the percent increase. Round to the nearest percent.
From 13 friends to 19 friends
Answer:
15
Step-by-step explanation:
Please help I do not understand this and I would like some help to understand this.
Answer:
show the top plzzz
Step-by-step explanation: