Answer:
y = -5/3x + 5 The last option or D
Step-by-step explanation:
took the unit test
A survey found that women's heights are normally distributed with mean 64.2 in. and standard deviation 4.2 in. The survey also found that men's heights are normally distributed with mean 70.1 in. and standard deviation 4.1 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. and a maximum of 63 in. Complete parts (a) and (b) below
A survey found that women's heights are normally distributed with mean 64.2 in. and standard deviation 4.2 in. The survey also found that men's heights are normally distributed with mean 70.1 in. and standard deviation 4.1 in. Most of the live characters employed at an amusement park have height requirements of a minimum of 57 in. and a maximum of 63 in. Complete parts (a) and (b) below
a) find the percentage of women meeting the height requirement
b) find the percentage of men meeting the height requirement
Answer:
a
P(57 < X < 63) = 34.4%
b
P(57 < X < 63) = 4.096%
Step-by-step explanation:
From the question we are told that
The mean of women's height is [tex]\mu_ 1 = 64.2[/tex]
The standard deviation is [tex]\sigma_1 = 4.2 \ in[/tex]
The mean of men' height is [tex]\mu_2 = 70.1 \ in[/tex]
The standard deviation of men's height is [tex]\sigma_2 = 4.1 \ in[/tex]
The minimum height requirement is a = 57 in
The maximum height requirement is b = 63 in
Generally the percentage of women meeting the height requirement is mathematically represented as
[tex]P(57 < X < 63) = P(\frac{ 57 - 64.2}{ 4.2} < \frac{X - \mu_1}{\sigma_1} < \frac{ 63 - 64.2}{ 4.2} )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
So
[tex]P(57 < X < 63) = P( -1.7143 < Z <-0.2857)[/tex]
=> [tex]P(57 < X < 63) = P ( Z <-0.2857) - P(Z < -1.7143)[/tex]
Generally from the z table the probability of ( Z <-0.2857) and (Z < -1.7143) is
P( Z <-0.2857) = 0.38755
and
P(Z < -1.7143) = 0.043237
So
P(57 < X < 63) = 0.38755 - 0.043237
=> P(57 < X < 63) = 0.3443
Converting to percentage
P(57 < X < 63) = 0.3443 * 100 = 34.4%
Generally the percentage of men meeting the height requirement is mathematically represented as
[tex]P(57 < X < 63) = P(\frac{ 57 - 70.1}{ 4.1} < \frac{X - \mu_1}{\sigma_1} < \frac{ 63 - 70.1}{ 4.1} )[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
So
P(57 < X < 63) = P( -3.1951 < Z <-1.7317)
=> [tex]P(57 < X < 63) = P ( Z <-1.7317) - P(Z < -3.1951)[/tex]
Generally from the z table the probability of ( Z <-0.2857) and (Z < -1.7143) is
P( Z <-1.7317) = 0.041663
and
P(Z < -3.1951 ) = 0.00069891
So
P(57 < X < 63) = 0.041663 - 0.00069891
=> P(57 < X < 63) = 0.04096
Converting to percentage
P(57 < X < 63) = 0.04096 * 100 = 4.096%
Using the digits 1 to 9 as many times as you want, fill
in the boxes to create three equivalent ratios
Answer:
1:9
99:11
9:11
1:99
Step-by-step explanation:
*^^NEED WITHIN 30 MINUTES ILL GIVE YOU BRAINLIEST****
This is solving special right triangles (45, 45, 90, and 30, 60, 90) and some sides have radicals ANSWER IN RADICAL FORM
Answer:7) x= Radical 3 y=1
8)x=12 Y=6 radical 3
9) n= 4/radical 3 m=2( 4/radical 3) [you’ll have to rationalize these since you can’t have a radical in the bottom]
10) x= 7/2 radical 3. y=7/2
Choose what the expressions below best represent within the context of the word problem.
The tens digit of a number is twice the ones digit. The sum of the digits in the number is
12. What is the number?
x represents ____ digit
2x represents ____ digit
A laptop was originally sold for $975. The laptop is now on sale for $828.75.
What is the percent markdown?
Answer:
15% off
Step-by-step explanation:
You take your 975 and divide it
Answer:
The percentage markdown is 15 % .
Find the x and y-intercepts of the linear equation. Write your answers as coordinate pairs 4x-8y= - 32
Answer:
x-intercept: x=-8+2y
y-intercept: y=4+[tex]\frac{1}{2}x[/tex]
Coordinate pairs: (-8,0) , (0,4)
Step-by-step explanation:
the question is: 82 of 200 animals in the dog and can rescue center are cats. What percent of animals are dogs?
Answer:
59%
Step-by-step explanation:
it says there is 200 animal and 82 are cats. we're trying to find the number of dogs. So subtract 82 from 200. that equals 118/200. 118/200 is 59%
If there are 200 animals at the rescue center, the percentage of animals that are dogs is 59%.
Given the following data:
Number of cats = 82 catsTotal number of animals = 200 animalsTo find the percentage of animals that are dogs:
[tex]Total \;animals = C + D[/tex]
Where:
C is the number of cats.D is the number of dogs.Substituting the given parameters into the formula, we have;
[tex]200 = 82 + D\\\\D = 200 - 82[/tex]
Dogs, D = 118 dogs.
Now, we can find the percentage of animals that are dogs:
[tex]Percent = \frac{D}{T}\times 100\\\\Percent = \frac{118}{200}\times 100\\\\Percent = 0.59 \times 100[/tex]
Percent of dogs = 59%
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ANOTHER SLOPE MATH PROBLEM I NEED HELP WITH!!
Answer:
negative
Step-by-step explanation:
When the line is going down from left to right, its slope is negative.When the line is going up from left to right, its slope is positive.When the line is vertical (parallel to the y-axis), the slope is undefined.When the slope is horizontal (parallel to the x-axis), the slope is zero.:Done
Can Somebody Help Me Please I Need It
Natalie is planning a summer pool party and need some fresh fruit like a fruit stand has watermelons for five dollars each and strawberries for three dollars per pint Natalie purchase 13 items and spent $45 on fruit snacks how much of each fruit did she buy
Answer:Therefore Natalie bought 3 water melons and 10 strawberries
Step-by-step explanation:
Step 1
let watermelons be represented by w
and strawberries be represented by s
Step 2
5w +3s = $45.......eqn 1
w+s=13..........eqn 2
Making w subject of formulae and substituting in equation 2
w= 13-s
5(13-s) + 3s=45
65-5s+3s =45
65-45=5s-3s
20=2s
s=20/2=10
substituting s=10 in equation 2
w +10=13
w= 13-10
w=3
Therefore Natalie bought 3 water melons and 10 strawberries
In your own words, define a relation in terms of mathematics. Provide the domain and range of a mathematical relation.
Answer:
Step-by-step explanation:
Get as close as possible to the number you're trying to square root by finding two perfect square roots that gives a close number. Divide: Divide your number by one of the square roots you've chosen from the previous step. Average: Take the average of step 2 and the root.
Answer:you guyys i need help on multiple questions first 1
Interpret the inequality 2 < 13 as a statement about the relative position of 2 and 13 on a number line.(1 point)
2 and 13 are both to the right of 0.
2 and 13 are both to the right of 0.
2 is 15 units to the left of 13 on a number line.
2 is 15 units to the left of 13 on a number line.
2 is 11 units to the left of 13 on a number line.
2 is 11 units to the left of 13 on a number line.
2 is 11 units to the right of 13 on a number line.
Step-by-step explanation: HALP
3 is the orange and 5 is the soda, how much soda does each orange have?
Answer:
8?
Step-by-step explanation:
Fill in the missing boxes ratios
Answer: 35, 9, 70
Step-by-step explanation:
PLEASE HELPPPPPPPPPPP a nuclear disaster at Chernobyl in April 1986, approximately 12,600 kg of radioactive iodine-131 was released into the atmosphere. Iodine-131 is know to decay by half every 8 days. How many kilograms of iodine-131 remained after 24 days?
Answer:
1575 kg
Step-by-step explanation:
Decay rate formula =
N(t) = No(1/2)^t/t½
No = Initial amount = 12600kg
N(t) = Amount after time t
t½ = half life = 8 days
t = time = 24 days
N(24) = 12600 × (1/2)^24/8
1575kg
I need help I know the answer I just need to figure out what “m” and “b” is, as in y=Mx+b
Answer: m is slope and b is y intercept
Step-by-step explanation:
M is the slope and b is the y- intercept. Hope that helps.
Can someone please help me with this problem and explain? Thank you!
Find the points at which the tangent line is horizontal for the given interval. F(x)=cosx-sinx [0,2pi]
Answer:
[tex]x=\{\frac{3\pi}{4}, \frac{7\pi}{4}\}[/tex]
Step-by-step explanation:
For the tangent line to be horizontal, the derivative of the function at that point must be 0.
Thus, let’s first take the derivative of our function:
[tex]f ^\prime(x)=\frac{d}{dx}[\cos(x)-\sin(x)][/tex]
Differentiate:
[tex]f^\prime(x)=-\sin(x)-\cos(x)[/tex]
Now, let’s set our derivative equal to 0:
[tex]0=-\sin(x)-\cos(x)[/tex]
Let’s multiply everything by a negative:
[tex]0=\sin(x)+\cos(x)[/tex]
To solve for x, we can subtract sin(x) from both sides. This gives us:
[tex]\cos(x)=-\sin(x)[/tex]
Now, we can refer to the unit circle. First, remember that the only points for which cosine is equal to sine is at the π/4 points. That is, π/4, 3π/4, 5π/4 or 7π/4.
However, cosine is equal to negative sine. The only two quadrants for which cosine and sine are the same but also have opposite signs is QII and QIV.
Therefore, our answers are 3π/4 and 7π/4.
A monkey sits on a limb that is 25 feet above the ground. He swings up 10 feet. Climbs up 6 feet more. Then jumps down 13 feet. How far off the ground is the monkey now?
Answer:
28 feet
Step-by-step explanation:
A monkey sits on a limb that is 25 feet above the ground
He swings up 10 feet
Climbs up 6 feet
He then jumps down 13 feet
Therefore the distance of the monkey from the ground can be calculated as follows
= 25 + 10 +6 - 13
= 41-13
= 28 feet
Hello :) can anyone help me with questions 2 and 3 here? Thanks :)
Answer:
Question 2: D. 604.9
Question 3: 80 oranges or 10/30 or 1/3
Step-by-step explanation:
For question 2:
Okay so, Hal has 5 3/4 bags of munch and each bag covers 105.2 area. We can take the whole number that is already there (5) and multiply it by 105.2 since it is the amount of 1 full bag. So: 5(105.2) is equal to 526.
Now we have to figure out how much 3/4 of a bag is. So take the amount of the full bag and divide it by the denominator (4). So: 105.2/4 is equal to 26.3. Now we know that for 1/4 of a bag it can cover 26.3. We are trying to find the 3/4 so take 1/4 and multiply it by 3 to get 3/4. We can do the same to the amount it is equal with: 26.3(3) and you get 78.9 as an amount of 3/4 of a bag of munch.
Now we add the 3/4 and 5 whole bags: 526.0+78.9=604.9
Our final answer is 604.9 so, option D is correct.
For question 3:
Basically taking all the given fractions: 1/5, 1/6 and 3/10. The lowest amount I can think of is multiplying the denominators to get 30 since they can all equal to 30. So multiply the denominator and numerator for each fraction:
1/5x6=6/30
1/6x5=5/30
3/10x3=9/30
Notice that the denominators are all equal to 30 so this allows us to now add them together.
6/30 + 5/30 + 9/30 = 20/30
Now we know that all together 20/30 is the already know fruits we can easily assume the 10/30 is the amount of oranges. We need to figure out the whole number and not the fraction so, take 240 and divide it by the denominator (30) and we get how much 1/30 is worth in a whole number. So: 240/30=8.
Now we know that 1/30=8 pieces of fruit. Take the 20/30 for already known fruit and we get 160. Take the 10/30 for oranges and we get: 10/30(8) is equal to 80 oranges.
So:
80 oranges
160 other known fruits
Basically 160=2/3 and 80=1/3.
We can check if this is true by:
2/3 (known fruit) and multiply the denominator and numerator by 10 to get 30:
2/3(10)= 20/30. We know this correct because 20/30 is the same as the known fruits fraction we got earlier. Next 1/3(10)=10/30 the 10/30 that was also equal to the amount of oranges.
Our final answer is 80 oranges or 10/30 or 1/3
I hope this helps:)
TIMED PLZ HELP
A. y = 4x + 5
B. y = 1/4 - 2
Slope =
Slope =
y-intercept
y-intercept
11
Answer:
Step-by-step explanation:
y-intercept form: y =mx +b
Here m is slope and b is y-intercept
A) y = 4x + 5
Slope = 4
y-intercept = 5
B) y = 1/4x -2
Slope = 1/4
y-intercept = -2
is the Y intercept of 4(x+2)-5 = 3?
Answer:
Yes.
Step-by-step explanation:
Because 4(x+2)-5 will equal 4x+3 and 4x is the X-intercept; there for 3 is the Y-intercept.
help I need the right answers for a-d thx
Answer:
a). <3 corresponds with <7
b). <6 is an alternate interior to <4
c). <7 is an alternate exterior to <1
d). <4 is a same side interior to <5
Step-by-step explanation:
EASY
Need the following would you rather questions to be answered for a survey, need 5 people to answer
1) Would you rather be on house arrest or go to jail for a month?
2) Would you rather go to court and plead guilty or be placed on probation for 10 months?
3) Would you rather clean garbage alongside the road or speak to schools?
4) Would you rather go to solitary confinement for a year, or go to regular prison for 10?
5) Would you rather spend a half a lifetime in prison or a lifetime on probation?
Answer:
1-jail for 1 month
2-prombation for 1 month
3-speak to schools
4-solitary confindment for 1 year
5-half life in prison
Step-by-step explanation:
hope this helps!
Answer:
1) jail for a month
2) probation for 10 months
3) speak to schools
4) regular prison for 10
5) lifetime on probation
Step-by-step explanation:
❤️❤️❤️
Picture attached, please help, multiple choice
Answer:
8 & 4
5 & 1
2 & 7
Step-by-step explanation:
8 & 4 are corresponding angles
5 & 1 are corresponding angles
2 & 7 are alternate exterior angles
Can someone help me with this please?
Answer:
the slope is 15
Step-by-step explanation:
Ms. Lisak’s salary is $4,500 quarterly. Find Ms. Lisak’s earnings per year.
Answer:
18000
Step-by-step explanation:
4500=1/4 of year
to get year we x 4
4500x4=18000 dollars
Ms. Lisak’s yearly salary will be equal to $18000.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that Ms. Lisak’s salary is $4,500 quarterly. Yearly salary will be calculated by making an expression as below,
Multiply the quarterly salary by 4.
4500=1/4 of year
To get a year we multiply by 4.
4500x4 = 18000 dollars
The yearly salary will be $18000.
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Between which two steps is the addition property of inequality used?
Given:
Step 1:
Step 2:
Step 3 :
Step 4:
Step 5:
Step 6:
Step 7:
16 > 8x - 4
8x - 4< 16
8x - 4+4 < 16+4
8x + 0 < 20
8x < 20
8x (1) < 20 (1)
1x <
Nu
Answer:
Step 4
Step-by-step explanation:
WILL GIVE BRAINLIEST
What percent of 185 is 70?
(please show work)
Answer:
70
Step-by-step explanation:
Answer:
(70 / 185) x 100 = 37.84%
Step-by-step explanation:
True or False
If you solve an equation
and you end up with 5 = 5
that means the solution is
5.
Jason is at the mall buying sno-cones for his friends. The function m = 5 − 1.25s represents the amount of money m he has left after s sno-cones. Find the zero value of this function by plotting points on the graph and finding the x-intercept.
Answer:
The zero value of the function occurs at s = 4
Step-by-step explanation:
The given function for the amount of money, m, Jason has left after buying s number of sno-cones for his friend is m = 5 - 1.25·s
Therefore, we have generated from Microsoft Excel the following data table used to plot the points on the graph
Number of Sno-cones [tex]{}[/tex] Amount of money left
0 [tex]{}[/tex] 5
1 [tex]{}[/tex] 3.75
2 [tex]{}[/tex] 2.5
3 [tex]{}[/tex] 1.25
4 [tex]{}[/tex] 0
Therefore, as seen from the above table, and from the attached graph, the zero value of the function occurs at the value where the amount of money left (y-coordinate value) is 0 which is at the value of s = 4.