Answer with explanation:
Mean ([tex]\mu[/tex]) = 43.8
Standard Deviation ([tex]\sigma[/tex]) = 8.7
We can draw the normal curve and then show where these values lie.
Or we can use the equation, [tex]43.8 \pm 8.7 \times k = \text{Value}[/tex], use positive sign when ,number is greater than mean, and negative sign when number is smaller than mean, to find that , how many standard deviations of the mean do the values 60, 40, 35, 45, and 39 fall.
1.→ 43.8 +8.7 k= 60
8.7 k= 60 - 43.8
8.7 k= 16.2
[tex]k=\frac{16.2}{8.7}\\\\k=1.8620\\\\k=1.86[/tex]
2.→ 43.8 - 8.7 k=40
43.8-40 = 8.7 k
8.7 k= 3.8
[tex]k=\frac{3.8}{8.7}\\\\k=0.4367\\\\k=0.44[/tex]
3.→43.8 - 8.7 k=35
43.8-35 = 8.7 k
8.7 k= 8.8
[tex]k=\frac{8.8}{8.7}\\\\k=1.011\\\\k=1.01[/tex]
4.→43.8 + 8.7 k=45
43.8-45 = -8.7 k
-8.7 k= -1.2
8.7 k= 1.2
[tex]k=\frac{1.2}{8.7}\\\\k=0.1379\\\\k=0.14[/tex]
5.→43.8 -8.7 k=39
43.8-39 = 8.7 k
8.7 k= 4.8
[tex]k=\frac{4.8}{8.7}\\\\k=0.5517\\\\k=0.55[/tex]
to make fruit punch you need 3 cups of grape juice for every 5 cups of apple juice if you have 15 more cups of apple juice how many cups do you have total how many cups do you have for each flavor use tape diagram to show your answer
A truck with a heavy load drove from Boston to New York at 45 mph. After unloading, it returned from New York to Boston at a speed of 65 mph. What was its average speed for the whole trip?
Answer:
Average speed: 585/11 or 53 2/11
Step-by-step explanation:
Let distance from New York to Boston, and vice-versa, be D
Then, time taken to travel from Boston to New York is: D/45
Also, time taken to travel from New York to Boston is: D/65
Total time taken for entire trip: D/45+D/65
Average speed: total distance/total time
Average speed: 2D/22D/585
Average speed: 53 2/11 or 585/11 mph
a company uses two vans to transport workers from a free parking lot to the work place between 7:00 and 9:00 am one van has 6 more seats than the other. the smaller van makes two trips every morning while the larger one only takes one trip. the two vans can transport 57 people, maximum. how many seats does the large van have?
Which of the following inequality statements best represent the verbal expression? a number is at least 2
Answer:
it is the answer that the other person picked. i just got it right
Step-by-step explanation:
Use the vertical line test to determine if the relation {(-6, -2), (-2, 6), (o, 3), (3, 5)} is a function. Explain your response.
Using the vertical line test, it is found that the relation is a function.
In the definition of a function, it has that for each input, there can only be one respective output, and the same is true for a relation, and the test of the number of outputs for each input is the vertical line test.
The relation is: {(-6, -2), (-2, 6), (0,3), (3,5)}
No repeated inputs, thus it passes the vertical line test and is a function.
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Jeff uses the expression 2(3b + 1) to determine how many books (b) he needs to order for his store. If b = 12, how many books should Jeff order?
A teacher let her students grade their math quizzes. •Jon wrote 13 out of 18 •Jim wrote .7 (repeated .7) •Joe reduced his to 5/6 who had the higher grade?
Answer:
Joe
Step-by-step explanation:
Jon wrote 13 out of 18
Dividing 13 by 18 we get, decimal form
[tex]\frac{13}{18}=0.722........[/tex]
Jim wrote .7 (repeated .7)
0.777..........
Joe reduced his to 5/6
Dividing 5 by 6 we get, decimal form
[tex]\frac{5}{6}=0.833........[/tex]
These numbers are irrational numbers
0.833......>0.777........>0.722......
So, Joe had the higher grade.
what is 5/9-2/3×5/2=
Answer:
5/9-2/3×5/2=
5/9-5/3=
-10/9
Step-by-step explanation:
The level of a lake was 8 inches below normal. It decreased 1 1/4 inches in June and 2 3/8 inches more in July. What was the new level with respect to the normal level?
It would be: 8 - (1 1/4 + 2 3/8)
8 - (5/4 + 19/8)
8-29/8
64-29/8
35/8 inches OR 4.375 is your answer
What is the value of the expression [(29+18)+(17-8)] divided by 8
Hiiiii pleaseeeee helppppp pleaseeeee understanddddd this question.
what is the measure of xy
A circle is a curve sketched out by a point moving in a plane. The correct option is A, 137°.
What is a circle?A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.
In the given figure since W is the midpoint of ZY, therefore, the measure of arc ZV and arc VY will be equal; and ZX and XY will be equal. Also, it is given that the measure of arc ZV is 43°. Therefore, we can write,
mZV + mVY + mXY + mXZ = 360°
43° + 43° + mXY + mXY = 360°
2(mXY) = 360° - 43° - 43°
mXY = 274/2
mXY = 137°
Hence, the measure of arc XY is 137°.
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A sport store pays $45 for a baseball glove and sells it for $75. What is the mark up?
Do you guys know what is 6y-3(4/3y-2)
WHICH ANSWER GOES WHERE ON THE NUMBER LINE ? I will give 11 points and brainliest!!!
A recipe that yields 12 cups of soup calls for 28ounces of beef broth. How many ounces of beef broth do you need to make 18 cups of the soup?
Inductive reasoning involves developing a general rule from specific situations. True or false
Answer:
The answer is true
Step-by-step explanation:
Inductive reasoning is a principle in mathematical and philosophical logic where general conclusions are derived from specific situations. Its contrary is deductive reasoning where we use a general rule to explain particular situations, reasoning commonly used in mathermatics. Example: all right angles measure 90 degrees, AB is right angle so AB measure 90 degrees,
In inductive reasoning we use the opposite logic that can take to incorrect general principles due to a bias. Example, my friend is tall and a good basket player, Joe is tall and also plays good basketball so All tall people are good basket players is a biased conclusion.
I REALLY NEED YOU PEOPLE'S HELP! Divide. 6 2/3 ÷ 1/5 Express your answer as a mixed number in simplest form, & I'll give you free points if you answer my next questions coming up. 20-50
Of the students at Milton Middle School, 153 are girls. If 45% of the students are girls, how many total students are there at Milton Middle school?
162 water bottles in 9 cases, write each ratio as a unit rate
Which expression is equivalent to 2x - 17?
A) -17 + 2x
B) -2x + 17
C) -2x - 17
D) 17 + 2x
suppose an object is moving 66 feet per second. how fast would you have to drive in your car, in miles per hour, in order to keep up with this object?
You would need to drive at around 96.67 miles per hour to keep up with the object.
Explanation:To determine how fast you would have to drive in your car to keep up with an object moving at 66 feet per second, we need to convert the unit from feet per second to miles per hour. There are 5280 feet in a mile and 3600 seconds in an hour. Therefore, the conversion factor is 5280/3600 = 1.4667. Multiplying 66 by this conversion factor gives us approximately 96.67 miles per hour. So, you would need to drive at around 96.67 miles per hour to keep up with the object.
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you have 12 cups of granola and 8 1/2 cups of peanuts to make trail mix. what is the greatest number of full batches of trail mix can you make?
To determine the greatest number of full batches of trail mix that can be made, divide the total quantity of each ingredient by the required amount per batch.
Explanation:To determine the greatest number of full batches of trail mix that can be made, we need to compare the quantities of granola and peanuts. First, we calculate the number of full batches we can make using granola. Since each batch requires 12 cups of granola, we divide the total quantity of granola (12 cups) by the required amount per batch (12 cups). The result is 1 full batch.
Next, we determine how many batches we can make using the peanuts. Since each batch requires 8 1/2 cups of peanuts, we divide the total quantity of peanuts (8 1/2 cups) by the required amount per batch (8 1/2 cups). The result is 1 full batch.
Therefore, the greatest number of full batches of trail mix that can be made is 1 batch.
Leon bought a dozen daisies for $3.75. What is the amount he paid per daisy (round to the nearest hundredth place)?
The amount he paid for per dairy is (rounded to the nearest hundredth would be) $0.31 (31 cents)
What is division?Division is the process of splitting a number or an amount into equal parts.
Here, given that,
Leon bought a dozen dairies for $3.75
i.e. cost of 12 dairies = $3.75
Then, cost of per dairy = $3.75÷12
=$0.3125
(The answer would be $3.75/12 which equals to $0.3125. )
Hence, The amount he paid for per dairy is $0.31.
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PL has endpoints P(4, −6) and L(−2, 1). The segment is translated using the mapping (x, y) → (x + 5, y). What are the coordinates of P’ and L’? P’(9, -6), L’(-2, 1) P’(4, -6), L’(3, 1) P’(9, -6), L’(3, 1) P’(9, -1), L’(3, 6)
Answer: C P’(9,-6), L’(3,1)
The coordinates of P' and L' after the translation are (9, -6) and (3, 1) respectively.
Explanation:A translation rule in mathematics describes the process of moving a geometric figure from one location to another without changing its shape or orientation. It involves shifting the figure horizontally or vertically by a certain distance. Translation rules are essential in geometry and are used to analyze and manipulate shapes on a coordinate plane.
The segment PL has endpoints P(4, -6) and L(-2, 1). To find the coordinates of P' and L' after being translated using the mapping (x, y) → (x + 5, y), we simply add 5 to the x-coordinates of P and L. Therefore, the coordinates of P' are (4 + 5, -6) which is equal to (9, -6), and the coordinates of L' are (-2 + 5, 1) which is equal to (3, 1).
If f(x) = x2 – 25 and g(x) = x – 5, what is the domain of mc006-1.jpg?
all real values of x
all real values of x except x = 5
all real values of x except x = –5
all real values of x except x = 5 and x = –5
Answer:
b. all real values of x except x = 5
Step-by-step explanation:
Multiply 7 x 462 using place value and expanded form. Choose the number from the box to complete the expression
To multiply 7 x 462 using place value and expanded form, we first write 462 as the sum of the products of its digits and their place values (400 + 60 + 2). We then multiply each component by 7 and add the results to get 3234.
Explanation:
To multiply 7 x 462 using place value and expanded form, you first need to break down the number 462 into expanded form. This means you write it as the sum of the products of its digits and their place values. We start at the right and move to the left: 2 (units), 60 (tens), and 400 (hundreds). So 462 in expanded form is 400 + 60 + 2.
The next step is to multiply each component by 7: 7 x 400 = 2800, 7 x 60 = 420, and 7 x 2 = 14. You add those results together to get your final answer: 2800 + 420 + 14 = 3234. So, 7 x 462 = 3234.
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a number decreased by 12 is 24
In two or more complete sentences, describe how you would draw the graph of the solution set for the following inequality.
-3m+18 < 30
A nonlinear function that can be written on the standard form
ax2+bx+c,wherea≠0ax2+bx+c,wherea≠0is called a quadratic function.
All quadratic functions has a U-shaped graph called a parabola. The parent quadratic function is
y=x2y=x2The lowest or the highest point on a parabola is called the vertex. The vertex has the x-coordinate
x=−b2ax=−b2aThe y-coordinate of the vertex is the maximum or minimum value of the function.
a > 0 parabola opens up minimum value
a < 0 parabola opens down maximum value
A rule of thumb reminds us that when we have a positive symbol before x2we get a happy expression on the graph and a negative symbol renders a sad expression.
The vertical line that passes through the vertex and divides the parabola in two is called the axis of symmetry. The axis of symmetry has the equation
x=−b2ax=−b2aThe y-intercept of the equation is c.
When you want to graph a quadratic function you begin by making a table of values for some values of your function and then plot those values in a coordinate plane and draw a smooth curve through the points.
adam spent $3.42 on orange juice. orange juice costs $0.12 per ounce. how many ounces of ornage juice did adam buy?
The amount of ounces of orange juice is A = 28.5 ounces
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the number of ounces of orange juices be A
Now , the amount spent on orange juice = $ 3.42
The cost per ounce of juice = $ 0.12
So , the number of ounces A = amount spent on orange juice / cost per ounce of juice
On simplifying the equation , we get
The number of ounces A = 3.42 / 0.12
The number of ounces A = 28.5 ounces
Hence , the equation is A = 28.5 ounces
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