If needed, delete the comma and/or the dollar sign.
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Work Shown:
mu = 27989 = population mean
sigma = 3250 = population standard deviation
z = (x-mu)/sigma
z*sigma = x-mu
x = z*sigma + mu
x = 0.34*3250 + 27989
x = 29,094
The salary of $29,094 corresponds to the z score of 0.34.
This indicates the salary $29,094 is exactly 0.34 standard deviation units above the mean.
Using long division, what is the quotient of 3x^4 + 20x^3+ 14x^2+ 17x + 30 and X+6?
See the attatched file.
Find the value of the trig functions indicated.
Answer:
Step-by-step explanation:
secθ = 17/15
An airline company claims in a recent advertisement that more than 94% of passenger luggage that is lost is recovered and reunited with the customer within 1 day. Hunter is a graduate student studying statistics. For a research project, Hunter wants to find out whether there is convincing evidence in support of the airline company's claim. He randomly selects 315 passengers of the airline whose luggage was lost by the airline and found that 276 of those passengers were reunited with their luggage within 1 day. Are all of the conditions for this hypothesis test met, and if so, what are the null and alternative hypotheses for this hypothesis test?
Answer:
The null hypothesis is [tex]H_o : p \le 0.94[/tex]
The alternative hypothesis is [tex]H_a : p > 0.94[/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 315
The population proportion is p = 0.94
The number of luggage that was recovered and reunited with the passenger in one day is k = 276
Generally the sample proportion is mathematically represented as
[tex]\r p = \frac{k}{n}[/tex]
=> [tex]\r p = \frac{276}{315}[/tex]
=> [tex]\r p = 0.876[/tex]
The null hypothesis is [tex]H_o : p \le 0.94[/tex]
The alternative hypothesis is [tex]H_a : p > 0.94[/tex]
Cecilia simplified an expression. Her work is shown below.
(6 and one-half + 2 and three-fourths) minus 1.5 times (4.5 divided by 0.5)
Step 1 9 and one-fourth minus 1.5 times (4.5 divided by 0.5)
Step 2 7.75 times (4.5 divided by 0.5)
Step 3 7.75 times 9
Step 4 69.75
Where did Cecilia make her first mistake?
step 1
step 2
step 3
step 4
Answer: second step.
Step-by-step explanation:
you then have to distribute the answer not subtract 9 1/4 from 1.5
you have to do the parenthesis next
4.5/0.5=45/5=9
then
1.5*9= 13.5
then
9.25-13.5 which I think you are capable of solving
Answer:
Step 2Step-by-step explanation:
Given work on simplification
(6 and one-half + 2 and three-fourths) minus 1.5 times (4.5 divided by 0.5) (6 1/2 + 2 3/4) - 1.5 (4.5 ÷ 0.5)Step 1 9 and one-fourth minus 1.5 times (4.5 divided by 0.5)
9 1/4 - 1.5 (4.5 ÷ 0.5)This is ok as first step is solving parenthesisStep 2 7.75 times (4.5 divided by 0.5)
7.75 (4.5 ÷ 0.5)Incorrect, subtraction should be the last step3x – 2y = -1
y = -x+ 3
Is (1, 2) a solution of the system?
Help Pls
Answer:
Yes
Step-by-step explanation:
If you plug (1, 2) into the system, the equation would be correct.
Original Equation:
3x - 2y = -1
Plug in (1, 2)
3 - 4 = -1
Original Equation 2:
y = -x + 3
Plug in (1, 2)
1 = -2 + 3
Hope I helped :)
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Since the war has started, you have lost 1/4 of your total body weight. If you now weigh 150 lb, how much did you weigh when the war started?
Answer:
200
Step-by-step explanation:
1/4 of 150 would be 50
If you lost 1/4 of 200
200 - 50
You would get 150
Therefore your answer is 200
Also, think of it this way, if you lost 1/4 of your body weight, 150 is 3/4 of your entire body weight- so the other 1/4 would be 50
50 x 4 = 200
1/4 = 50
2/4 = 100
3/4 = 150
4/4 = 200
The dimensions of this figure are changed so that the new surface area is exactly 12 what it was originally.
What is the new surface area?
Enter your answer as a decimal in the box.
yd²
Complex solid composed of rectangular prisms in an L shape. The height of the taller side of the L shape is labeled 8.4 yd. The height of the shorter side of the L shape is labeled 3.8 yd. The width of the of the shorter section of the L shape is labeled 4.3 yd. The length of the taller section of the L shape is labeled 10.1 yd and the width is labeled 2 yd. PLEASE HELP
Answer:
The answer is 181.61.
Answer: 181.61 :)
Step-by-step explanation:
If Nathan scoops 8.5 cups of ice cream in 2 minutes, how many scoops of ice cream can he do in 8 minutes?
Answer:
34
Step-by-step explanation:
in one minute he scoops 4.25 cups which you get by dividing 8.5 and 2 and then you multiply that by 8 and you get 34 cups
Answer:
34 scoops
Step-by-step explanation:
If I were you I would find how many cups nathan can scoop in a minute because not only its the easiest way it's the fastest so what you can do to find that is divide 8.5 by 2 which is 4.25.
since you know how many he can scoop in a minute you can do 8 times 4.25 because their is 8 minutes and 8 times 4.25 is 34
Hey besties! Can you solve this question i will make you brainlist
three friends shared a basket of strawberries. Sue got 2/7 of the strawberries. Jim got 54 more strawberries than sue. Dan got 78 strawberries. How many strawberries were there in the basket.
Answer:
Step-by-step explanation:
Let x be the total no. of strawberries, Let Sue be "S", Let Jim be "J" and Dan be "D"
S = 2x/7
J = 54+S -> J = 54+(2x/7)
D = 78
J+D = 5x/7
54+(2x/7)+78 = 5x/7
132+2x/7 = 5x/7
132 = (5x/7)-(2x/7)
132 = 3x/7
132*7 = 3x
924/3 = x
x = 308.
Therefore, there were initially 308 strawberries in the basket.
Of which; Sue had two-sevenths: 88, Jim had 142 and Dan had 78
To verify our answer, add these to see if we get 308
S+J+D = 308
88 + 142 + 78 = 308
Don claims that perpendicular lines are lines that intersect such that at least one of the angles is a right angle.
Determine whether each statement below justifies the claim. Select Yes or No for each statement
Yes No
Intersecting lines allow for the creation of four angles with a common vertex
If one of the angles is a tight angle, the angle vertical to it must also be a right angle
Because near pals are complementary the remaining two angles must also be right angles
A) Intersecting lines allow for the creation for angles with a common vertex
B) if one of the angles is a right angle, the angle the vertical to it must also be a right angle
Step-by-step explanation
C) is not true because linear pairs are supplementary not complementary because a line = 180°
B) it’s true because they are corresponding vertical angles
A) it’s true because they all have the same starting point or vertex
The statements that justifies don's claim about perpendicular lines being lines that intersect such that at least one of the angles is a right angle are; Option A; Intersecting lines allow for the creation of four angles with a common vertex.
Option B; If one of the angles is a tight angle, the angle vertical to it must also be a right angle
This is about perpendicular lines and whether they form right angles upon intersection. To answer this, let us look at the options; Option A; Yes, this statement is true because when a perpendicular line intersects another one, they will form 4 angles since they will all have the same starting point or common vertex.Option B; Yes, this statement is true because from corresponding angles theorem, we can say that they are corresponding vertical angles because they are congruent due to the transverse perpendicular line.Option C; No, this statement is not true because the angles would form linear pairs and as such since angles on a line sum up to 180°, it will also occur here and as such we can say they are supplementary angles.Read more at; brainly.com/question/18373668
Five less than the quotient of a number and 4 is equal to – 12.
a). Translate the statement into a mathematical equation.
b). Solve the equation and show all your work. Check your answer.
Step-by-step explanation:fcvrrctygb
The statement into a mathematical equation form is given as -
(x/4 - 5) = - 12 and on solving the equation, we get x = - 28.
What is expression?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the statement -
"Five less than the quotient of a number and 4 is equal to -12"
We can write it as equation -
(x/4 - 5) = - 12
Solving the equation, we get -
x/4 = - 12 + 5
x/4 = - 7
x = - 28
Therefore, the statement into a mathematical equation form is given as -
(x/4 - 5) = - 12 and on solving the equation, we get x = - 28.
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Solve the equation 3/5(x-10)=18-4x-1
Answer:
x=5
Step-by-step explanation:
pls heart and give brainliest
1. Simplify both sides of the equation
3/5 (x−10) = 18 − 4x − 1 ( 3/5 )(x) + ( 3/5 ) (−10) = 18 + − 4 x + − 1 (Distribute)
3/5x + − 6 = 18 + − 4x + − 1 3/5 x − 6 = (−4x) + (18+−1) (Then Combine Like Terms)
3/5 x−6=−4x+17 3/5 x−6=−4x+17
2. Add 4x to both sides
3/5 x−6+4x=−4x+17+4x 23/5 x−6=17
3. Add 6 to both sides
23/5 x−6+6=17+6 23/5 x=23
Step 4: Multiply both sides by 5/23.
( 5/23 )*( 23/5 x)=( 5/23 )*(23)
x = 5
Therefore the answer to this equation is "x = 5"
Greg is going to rent a truck for one day. There are two companies he can choose from, and they have the following prices. Company A charges 69 and allows unlimited mileage. Company B has an initial fee of 55 and charges an additional 0.70 for every mile driven. For what mileage will Company A charge less than Company B? Use for the number of miles driven, and solve your inequality for m .
Which situation could be described by the following expression: 6(n+3) *
Classify the triangle by its sides.
Answer:
equilateral triangle
Step-by-step explanation:
because only equilateral triangle has all three angles of 60 degree
What is the slope of the line in the graph?
5
4
3
2
1
-54-3
-1
1
2
3
5
X
2
3
5
Answer:
Slope = 1
Equation: y= 1x + 1 or y= x + 1
Step-by-step explanation:
The slope is one because the rise over run from point (-1,0) to (0,1) is 1/1, and 1/1 is equal to 1. This means in the form y=mx + b the slope would be put in for m. y= 1x + 1. The plus one is because the line crosses the y axis at y = 1. When you are writing the equation technically you do not need to write it as y= 1x +1 you can just do y = x + 1 because there is only 1 x.
What is the area of the parallelogram shown below?
A.
B.
C.
D.
The area of the parallelogram is base times height
base: 8 cmheight: 4 cmThus the area = 8 * 4 = 32 square centimeters or choice (c)
Hope it helps!
Find the measure of angle b.
Based on the information in the table, is the cost of the apples proportional to the weight of apples?
A pound of apples:
2
3
4
5
Cost of apples:
$3.76
$5.64
$7.52
$9.40
Answer:
I think it is the 3.76 I am 85%sire
Answer:
YEAH IT IS :D
Step-by-step explanation:
First you need to get 1 pound. 2 pounds is 3.76 divide it by 2 and get 1.88. Multiply it by so you can get 3 pounds: 1 x 3 = 3 pounds. 1.88 x 3 is 5.64. Now to get 4 pound you add 1.88 again to 3 pounds to add a pound and you get 7.52. Now add 1.88 to 4 one more time to get 5 pounds: 4 + 1 = 5 pounds. And 7.52 + 1.88 = 9.40. Now you checked the whole table and they are right so yes it is proportional to the weight of apples!
Solve the equation f(x) = -9. What is f^-1(-9)?
Answer: f(x) = 9 //////
A lotion is made from an oil blend costing $1.50 per ounce and glycerin costing $1.00 per ounce. Four ounces of lotion costs $5.50.
A table titled Lotion, showing Ounces, Cost per Ounce, and Total. The first row shows, Oil Blend, and has 4 minus g, 1.50, and x. The second row shows Glycerin, and has g, 1.00, and blank. The third row shows, Mixture, and has 4, blank, and 5.50.
Which value could replace x on the table?
(4 – g) 1.5
(4 – g) + 1.5
4g – g(1.5)
(4 – g)g
Answer:
A (4-g)1.5
Step-by-step explanation:
hope this helps if you need a explanation just ask in the comments and I will.
100 POINTS AND BRAINLY I NEED THIS ANSWER IMMEDIATLY!!
Step-by-step explanation:
SORRY FOR MESSING WITH YOU MATE
HERE YOU GO
The amount of water that the girls on the basketball and soccer teams drink during one practice session is recorded in the dot plots.
Select from the drop-down menu to correctly complete the statement.
The median ounces of water drank on the basketball team was about 130 oz less thanResponse area the median ounces of water drank on the soccer team.
Correct answers:
1
45 oz less than
which expression is eqivalent to 9a +12
[tex]3(3a + 4)[/tex]
this the anwers
Answer:
An easy way to do it,is just multiply both terms by a number 2 (9a+12)=18a+24 it doesn't have to be 2, it can be any number
Hope this Helps:)
Which point would map onto itself after a reflection across the line y=-x? O(4,-4) O(4,0) O(0, 4) O (4, 4)
Answer: well it’s not b or c so I’m guess it (4,-4) if I’m wrong I’m sorry
Step-by-step explanation:
I’m taking it on edge 2020 rn
The point O(4,-4) would map onto itself after a reflection across the line y=-x.
What is Graph?Graph is a mathematical representation of a network and it describes the relationship between lines and points.
To find out which point would map onto itself after a reflection across the line y=-x, we need to reflect the given points across the line and see which one ends up in its original position.
The reflection of a point (x, y) across the line y=-x is (-y, -x).
Let's apply this formula to each given point:
The reflection of O(4,-4) across y=-x is (-(-4), -4) = (4, -4), which is same as the original point.
The reflection of O(4,0) across y=-x is (0, -4), which is not the same as the original point.
The reflection of O(0,4) across y=-x is (4, 0), which is not the same as the original point.
The reflection of O(4,4) across y=-x is (-4, -4), which is not same as the original point.
Therefore, the point O(4,-4) would map onto itself after a reflection across the line y=-x.
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Select the three measurements that could be side lengths that form a right triangle.
Answer:
61^2=60^2 +11^2
3721=3600+121
11,60 ,61
monster helping overcome essay.
Answer:
OK Heres a story but dont expect me to do more stuff like this k rate five stars pls and thanks
Step-by-step explanation:
Once upon a time i was laying in bed on my phone then i herd i noise in my closet so i got up out of bed and looked in the closet and nothing was there.Then i decided to go to sleep because it was getting late than while i was sleeping i woke up to a weird noise like a growl. That's when i saw it the monster he ran when i saw him or her. The i found him hiding in the same closet i heard the weird noise.Ten i realized he was just a little scared monster. He was probibly more scared than i was i thought to my self. I asked him are you ok? he didint repliy i told him my name and he looked like he felt better so i gave him a snack sice i thought he was hungry. he gobbled it up really fast than i asked him or her whats you name? There was no repliy. Then i realized they didin't speak english. but i wanted them to be happy so i showed the little monster some of my toy cars i ad around my room he was entertained so i thought we could be freinds and we did The end.
Written in the given rational numbers into the correct
Answer:
-4/3, -4/5, -2/3, 7/10, 7/8
Step-by-step explanation:
The order from left to right is:
1. -4/3
2. -4/5
3. -2/3
4. 7/10
5. 7/8
Hope this helps :)
what is the midpoint between (-1,4) and (7,12)
Step-by-step explanation:
solve accordingly to the picture
Really need help with this problem
Answer:
(-1, 6)
Step-by-step explanation:
f(x) = g(x) this means when they intersect
Ming Jie is playing an online game. He earns 5 points when his arrow hits the red targets and loses 2 points when his arrow hits the blue targets After some arrows, he earned 65 points.
(a) What is the least number of arrows he used to achieve 65 points?
(b) To win the game, he cannot use more than 30 arrows to earn at least 80 points What is the most number of blue targets he can hit?
Answer:
A) 13 B) He can hit 20 red targets and hit 10 blue targetsStep-by-step explanation: