Using the normal distribution, it is found that 15.87% of the students received a score below 64.
Normal Probability DistributionIn a normal distribution 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]
It 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, which is the percentile of X.In this problem, the mean and the standard deviation are given by, respectively: [tex]\mu = 70, \sigma = 6[/tex].
The proportion of students who received a score below 64 is the p-value of Z when X = 64, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{64 - 70}{6}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a p-value of 0.1587.
Hence, 15.87% of the students received a score below 64.
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Concrete truck loaded with concrete was about 30 tons about how many pounds does the loaded concrete truck weigh
Answer:
30 tons of concrete
There are 2000 pounds in 1 ton
So 2000 pounds * 30 tons
30 * 2000 = 60000
60,000 pounds
40 points!! Two questions (a) and (b)!!
Answer:
(a) Kaylee earns $19.50 per hour.
(b) Kaylee earns more per hour.
Step-by-step explanation:
a)
[tex]m[/tex] = $ per hour
[tex]y = mx[/tex]
[tex](39) = m(2)[/tex]
[tex](39 = m(2)) = 19.50 = m[/tex]
b) Kaylee earns more per hour
Kaylee earns $19.50 per hour and Joey earns $16.50 per hour.
HELP ASAP!!! ILL GIVE LOTS OF POINTS AND BRAINLIST
PLEASE SHOW HOW YOU GOT THE ANSWER!
Answer:
4.04
Step-by-step explanation:
I like to turn my fractions into decimals when I do this. Volume is found by length*width*height. In this case, it would be 3.5*1.75*4.66
The volume would be about [tex]4ft^2[/tex]
Find the unknown coordinate for each reflection.
Figure ABCDE is reflected across the y-axis to
form figure A'B'C'D’E
Answer:
A'=(-3,6)
B'=(-5,5)
C'=(-4,2)
D'=(-2,2)
E'=(-1,4)
Step-by-step explanation:
Simply keep the y coordinate the same on all of the points on the preimage and make the x coordinates negative.
Hope this helps!!!
A consumer agency wants to determine which of two laundry detergents, A or B, cleans better. Fifty 1-square-foot sections of fabric are randomly selected and cut from different bolts of fabric. They are then subjected to the same kinds of stains (grass, mud, coffee). Then 25 pieces are randomly assigned to be cleaned with detergent A, and the remaining 25 pieces are cleaned with detergent B. After being laundered, the pieces of fabric are rated on a scale of 1–10, with 1 being the least clean to 10 being the most clean. The mean rating for detergent A is found to be significantly greater than the mean rating for detergent B.
Which of the following is a valid conclusion?
Inferences can be made about the population of fabric from which the pieces were cut. The conclusion can be made that detergent A cleans better than detergent B for the fabric from these bolts.
Inferences cannot be made about the population of fabric from which the pieces were cut. The conclusion can be made that detergent A cleans better than detergent B for the fabric from these bolts.
Inferences can be made about the population of fabric from which the pieces were cut. The conclusion cannot be made that detergent A cleans better than detergent B for the fabric from these bolts.
Inferences cannot be made about the population of fabric from which the pieces were chosen. The conclusion cannot be made that detergent A cleans better than detergent B for the fabric from these bolts.
The conclusion about the detergents in the sampling is D.Inferences cannot be made about the population of fabric from which the pieces were chosen.
What is sampling?Sampling is the selection of a subset of individuals that are gotten from a statistical population in order to estimate the characteristics of the whole population.
In this case, inferences cannot be made about the population of fabric from which the pieces were chosen. The conclusion cannot be made that detergent A cleans better than detergent B for the fabric from these bolts.
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Two years ago the Castillo family used $3,250 worth of electricity. Last year they switched to balanced billing averaged over 12 months. What was their monthly payment last year under balanced billing? During last year, they actually used $3,766 of electricity and their balanced billing payments were not enough to pay for their electrical usage. They had to pay the difference at the end of the year. How much did they owe the utility company?
The Castillo family made a monthly payment of $270.83 and they owed the utility company $516
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Two years ago the Castillo family used $3,250 worth of electricity. During last year, they actually used $3,766 of electricity, hence:
Monthly payment = $3250 / 12 = $270.83
Money owed = $3,766 - $3,250 = $516
The Castillo family made a monthly payment of $270.83 and they owed the utility company $516
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Anja collected data about the number of dogs 9th-grade students own. she created this histogram to represent the data and determined that it is skewed right. a graph shows number of dogs labeled 0 to 2 on the horizontal axis and frequency on the vertical axis. 0 dogs at frequency 20. 1 dog at frequency 15. 2 dogs at frequency 12. which statement is true about anja’s claim? she is incorrect; the histogram is skewed to the left because more data is on the left side. she is incorrect; the histogram is skewed to the left because there is more data on the right side. she is incorrect; the histogram is symmetrical because the right side is equal to the left side. she is correct; the histogram is skewed to the right because there is less data on the right side.
As the histogram is skewed to the right because there is less data on the right side. So, she is correct that is option D.
What is a histogram graph?A histogram graph is a graphical representation of given data. It is a bar graph that represents a frequency distribution by rectangles separated from each other with equal spaces.
A graph shows several dogs labeled 0 to 2 on the horizontal axis and frequency on the vertical axis.
here, we can see from a given data that as the number of dogs increases the frequency on the vertical axis decreases. At 0 dogs the frequency is 20, at 1 dog the frequency is 15, At 2 dogs the frequency is 12.
The histogram is skewed to the right because there is less data on the right side as the frequency decreases.
Therefore, the histogram is skewed to the right because there is less data on the right side. So, she is correct that is option D.
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Answer:
d
Step-by-step explanation:
PLEASE HELP MEEEEE!!!
20 POINTS + BRAINLYEST!!!!
(no links please)
Two functions, function A and function B, are shown below:
Function A
x y
7 21
8 24
9 27
Function B
the picture.
Which statement best compares the rate of change of the two functions? (1 point)
The rate of change of both functions is 2.
The rate of change of both functions is 3.
The rate of change of function A is greater than the rate of change of function B.
The rate of change of function B is greater than the rate of change of function A.
Answer:
The rate of change of function A is greater than the rate of change of function B
Step-by-step explanation:
[tex]\sf rate \ of \ change=\dfrac{change \ in \ y}{change \ in \ x}[/tex]
Function A
For every increase of 1 unit in x-values, the y-values increase by 3 units.
[tex]\sf rate \ of \ change=\dfrac{3}{1}=3[/tex]
Function B
For every increase of 1 unit in x-values, the y-values increase by 2 units.
[tex]\sf rate \ of \ change=\dfrac{2}{1}=2[/tex]
As 3 > 2, the rate of change of function A is greater than the rate of change of function B
find the direct variation of y-x=4 (PLEASE TRY TO EXPLAIN THE ANSWER)
Answer: x = -4 + y
Step-by-step explanation:
Subtract y from both sides y- x - y = 4 - y
Simplify -x = 4 - y
Divide by -1
-x ÷ -1,
4 ÷ -1,
y ÷ -1,
Simplify x = -4 + y
find the volume for the shape below
PLEASE helpppppppp!!!!!!
Answer:
the correct answer is the second
Help ASAP giving 25 points
Just to read this handwriting please i really need it
Answer:
Solution:
The length of the arc part:
365 -60/360
x2x2x15=5/6 x2x2x15=252
Two segments: 2x15 = 30
All perimeter: (252 + 30) m
{divide into two parts?
Step-by-step explanation:
Is this what you wanted?
The solution to an inequality is graphed on the number
line.
What is another way to represent this solution set?
-5 -4 -3
O {x | x <4.5)
O {x x 34.5}
O {x | x > 4.5)
O {x | x 2 4.5)
+
4 5
0
1
2
3
Answer:
Option b is the answer.
Step-by-step explanation:
As you can see in the image you have given, the x values that are less than or equal to 4.5 are the elements of the solution set.
can someone help me please? I don't understand what I need to do
Answer:
You need to find what X= then put the answer in the box to the left
Step-by-step explanation:
What is 2 , 3492,349 rounded to the nearest hundred?
Answer:
See below.
Step-by-step explanation:
23,492,349
/\
This is the hundreds place.
The place after it has a 4, so normally, we would round down. But, there is a 9 after the 4, so we round up the 4 to 5, and we round up again to the 3.
23,492,400
-hope it helps
Define a polynomial that is a difference of squares. How do you know that it is the difference of squares? How is it factored?
Answer:
When an expression can be viewed as the difference of two perfect squares, i.e. a²-b², then we can factor it as (a+b)(a-b). For example, x²-25 can be factored as (x+5)(x-5). This method is based on the pattern (a+b)(a-b)=a²-b², which can be verified by expanding the parentheses in (a+b)(a-b).
Step-by-step explanation:
lol it’s on wassa name ;) mark me brainliest? Btw
Here you go, your equation should look a lot like this:
x²-16 -----> (x+4)(x-4).
ANSWER THE QUESTION FOR BRAINLIST !!
In 2010 , Cornfield Farms produced 175,000 bushels of corn . Each year since 2010, their total corn harvest has increased by 2.5 % over the previous year .
Write an exponential function , f(x), that models the number of bushels of corn produced X years after 2010
Enter your answer by filling in the boxes
f(x) = ______ • (_______) ^x
Answer:
[tex]f(x) = 175000*1.025^x[/tex]Step-by-step explanation:
Exponential function has the form
[tex]f(x) = ab^x[/tex]Where a- initial value, b- growth rate
Find the growth rate b
[tex]b = 1 + 2.5/100 = 1 + 0.025 = 1.025[/tex]The function is
[tex]f(x) = 175000*1.025^x[/tex]Answer:
[tex]y = 175000 \cdot {1.025}^{x} [/tex]
Step-by-step explanation:
recall exponential function:
[tex]y = a \cdot {b}^{x} [/tex]
where:
a is the initial valueb is the growthx is the independent variabley is the dependent variableFinding the exponential function:
firstly,It says In 2010 , Cornfield Farms produced 175,000 bushels of corn. It simply refers that, The initial value is 175,000, therefore,
[tex]a \implies 175000[/tex]secondly, It assers that Each year since 2010, their total corn harvest has increased by 2.5% over the previous year, thus
[tex] b \implies 1 + \frac{2.5}{100} = 1.025[/tex]finally, just plug in the value of a and b into the function,
[tex]y = 175000 \cdot {1.025}^{x} [/tex]
and we're done!
In factorization, when you are factoring out a number, how do you know like which sign to out with it. Like if I’m factoring out 2 from a bracket. Which sign do I put with it ?
What is the length of LM?
Answer:
Step-by-step explanation:
The length of LM is 24√(3)
the short leg is 24
the hypotenuse is 24*2 = 48
What is the value of sin-1(1)? negative startfraction pi over 2 endfraction 0 startfraction pi over 2 endfraction π
The value of sin-1(1) is negative startfraction pi over 2 endfraction, startfraction -pi over 2 endfraction.
What is the value of sin (π/2)?The value of sin (π/2) is equal to the number 1. The value of the sin-1(1) has to be find out.
Suppose the value of this function is x. Thus,
[tex]x=\sin^{-1}(1)[/tex]
Solve it further,
[tex]\sin(x)=(1)[/tex] ......1
The value of sin (π/2) and -sin (-π/2) is equal to 1 such that,
[tex]\sin\dfrac{\pi}{2}=-\sin\left(-\dfrac{\pi}{2}\right)=1[/tex]
Put this value in the equation 1,
[tex]\sin(x)=\sin\left(\dfrac{\pi}{2}\right)=-\sin\left(-\dfrac{\pi}{2}\right)[/tex]
Thus, the range will be,
[tex]\left(\dfrac{\pi}{2},-\dfrac{\pi}{2}\right)[/tex]
Thus, the value of sin-1(1) is negative startfraction pi over 2 endfraction, startfraction -pi over 2 endfraction.
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Answer: C
Step-by-step explanation:
edge
Combine the like terms to create an equivalent expression -3k-(-8)+2}−3k−(−8)+2
Answer:
Step-by-step explanation:
Here 8 and 10 are the like terms (both are constants)
-3k -(-8) + 2 = -3k + 8 +2
= -3k + 10
Use the diagram to find the distances. Then write the distances to complete the equations.
Triangle P Q R in a coordinate plane. Point P is 1, 2. Point Q is sixteen, ten. Point R is twenty-two, 2. Point S is between P and R, at sixteen, 2. A vertical line segment connects points S and Q.
(A) QS =
(B) PS =
(C) SR =
(D) PQ =
(E) QR =
Answer:
(A) QS = 8
(B) PS = 15
(C) SR = 6
(D) PQ = 17
(E) QR = 10
Step-by-step explanation:
i did it and got it correct! :D
All the distances are;
(A) QS = 8
(B) PS = 15
(C) SR = 6
(D) PQ = 17
(E) QR = 10
What is the distance between two points?The length of the line segment bridging two points on a plane is known as the distance between the points.
The formula to find the distance between the two points is usually given by d=√{(x₂-x₁)² + (y₂-y₁)²}
Given:
The three points P(1,2), Q(16,10), and R(22,2) are on the coordinate plane.
To find the lengths of the different line segments in the given figure, we can use the distance formula:
Distance = √[(x2 - x1)² + (y2 - y1)²]
(A) To find the length of QS, we need to find the difference between the y-coordinates of Q and S:
QS = |10 - 2| = 8
Therefore, QS has a length of 8 units.
(B) To find the length of PS, we need to find the difference between the x-coordinates of P and S:
PS = |16 - 1| = 15
Therefore, PS has a length of 15 units.
(C) To find the length of SR, we need to find the difference between the x-coordinates of S and R:
SR = |22 - 16| = 6
Therefore, SR has a length of 6 units.
(D) To find the length of PQ, we need to find the difference between the x-coordinates of P and Q:
PQ = √[1 - 16)² + (2 - 10)²]
Therefore, PQ has a length of 17 units.
(E) To find the length of QR, we need to use the distance formula:
QR = √[(22 - 16)² + (2 - 10)²]
= √[36 + 64]
= √100
= 10
Therefore, QR has a length of 10 units.
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Neon bracelets cost $1 for 4.
What is the cost per bracelet?
At this rate, how much will 11 neon bracelets cost?
Answer:
its cost 25 cents
in so will cost 275 cent so 2.75
Step-by-step explanation:
Help on this please.
Answer:
total - given, 360 -139 = 221
The Width of a rectangle is a third as long as the length. If the perimeter is 24 inches, what is the area of the rectangle?
Answer:
27
Step-by-step explanation:
Width = w
length = l
w=1/3 * l
or, l=3w
perimeter=2l+2w=24
2(l+w)=24
2(3w+w)=24
2*4w=24
8w=24
w=3
l=9
Area=3*9=27
Solve for x
7x – 1= 2x + 3
Give your answer as a fraction in its simplest form.
Answer:
x = 4/5.
Step-by-step explanation:
7x - 1 = 2x + 3
Move one to the other side.
7x = 2x + 4
Subtract the 2x to the other side
5x = 4
Divide both sides by 5
x = 4/5.
Answer:
x = 0.8
Step-by-step explanation:
To find x, we need to isolate the constants on one side and the variables on the other. Simply subtract 2x both sides and add 1 both sides.
⇒ [tex]7x - 1= 2x + 3[/tex]
⇒ [tex]7x - 1 - 2x + 1 = 2x + 3 + 1 - 2x[/tex]
⇒ [tex]5x = 2x + 3 + 1 - 2x[/tex]
⇒ [tex]5x = 3 + 1[/tex]
Now, simplify the RHS.
⇒ [tex]5x = 3 + 1[/tex]
⇒ [tex]5x = 4[/tex]
Finally, divide 5 both sides to isolate the x variable.
⇒ [tex]\frac{5x}{5} = \frac{4}{5}[/tex]
⇒ [tex]x = \frac{4}{5} = 0.8[/tex]
Solve the equation:
[tex]6-(3w+1) = 8w-2[/tex]
Step-by-step explanation:
please mark me as brainlest
[tex]===================================[/tex]
Step 1:
Use the Distributive Property:
[tex]\hookrightarrow\sf{-(3w+1)=-3w-1}[/tex]
Hence, the equation is
[tex]\hookrightarrow\sf{6-3w-1=8w-2}[/tex]
Move 8w to the left side
[tex]\hookrightarrow\sf{6-3w-1-8w=-2}[/tex]
Combine Like Terms
[tex]\hookrightarrow\sf{6-3w-8w-1=-2}[/tex]
Simplify
[tex]\hookrightarrow\sf{6-11w-1=-2}[/tex]
Move 6 and 1 to the right
[tex]\hookrightarrow\sf{-11w=-2+1-6}[/tex]
[tex]\hookrightarrow\sf{-11w=-7[/tex]
Divide both sides by -11
[tex]\hookrightarrow\sf{w=7/11}\\=============================[/tex]
Notes:Hope everything is clear.Let me know if you have any questions!Enjoy your day!Always remember: Knowledge Is Power!Can you help me with this
In the case of multiplication in exponents, if the numbers are the same, their exponents are added.
7 + 8 is written to the power of x, and 3 + 2 is written to the power of y.
4. A line on a graph is represented with the equation y = = -3x-9.
What is the equation for the image of this line after a reflection over the mirror line y = x?
Oy=3x– 9
O y=-1/3x-3
Oy=-1/3x+3
O y= 3x+9
Find the areas of the composite figure.
Answer:
Step-by-step explanation: