A health food store has launched a new pack of vitamins for children. The store records the number of packs ordered by a random sample of 100 online customers and the number of packs ordered by a random sample of 100 walk-in customers.
(PICTURE IS BELOW)
Which of the following inferences can be drawn about the buying pattern of the online customers versus that of the walk-in customers?
A.Online customers buy an average of four packs compared with walk-in customers, who buy an average of one pack.
B.Online customers buy an average of five packs compared with walk-in customers, who buy an average of two packs.
C.Online customers buy an average of four packs compared with walk-in customers, who buy an average of two packs.
D.Online customers buy an average of five packs compared with walk-in customers, who buy an average of one pack.
Answers
The random Sample can be drawn the buying pattern on the online customers versus that of the walk in interview, the correct option is B.
What is sample?Sample is "a small and manageable version of a larger group".
According to the question,
The number of packs ordered by random samples through the online customers = 100
The number of packs ordered by random samples through the walk-in-interview =100
To find the inferences,
Online customers buy an average of five packs compared with walk-in customers, who buy an average of two packs.
Hence, the Option B.
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Related Questions
Find the quotient: 744 ÷ 3.1
A) .024
B) 2.4
C) 24
D) 240
Answers
744 / 3.1 = 240
Check
3.1 * 240 = 744
744 = 744
Hope this helps you! (:
-Hamilton1757
a regular triangular pyramid has a slant height of 13 mm on a base Edge length of 8 in
Answers
Luther won 12 of the last 20 video games he played.
Suppose Luther plays a total of 60 games with his friends over the next month. Predict how many of these games Luther will win.
Answers
write the equation 12=3x + 6 in the form ax + b = c with c=12 what are the values of a & b?
Answers
is effectively c=ax+b
meaning
a is 3
b is 6 and
c is 12
[tex]ax + b = c \\ 3x + 6 = 12[/tex]
Answer : a = 3, b = 6
Hope this helps. - M
If the sum of three numbers is 144, what is the average of the three numbers?
Answers
What does volume mean
Answers
Hope this Helps!!
He counted 206 wheels and 170 pedals. How many bicycles and tricycles does he have.
Answers
tricycle has 3 wheels and 2 pedals
EQ 1 : 2b + 2t = 170 pedals
EQ 2: 2b +3t = 206 wheels
subtract EQ 1 from EQ 2
2b +3t = 206 - 2b + 2t = 170 = t=36
there were 36 tricycles
36 x 2 = 72 pedals
170 pedals - 72 = 98 pedals left
98/2 = 49 bicycles
36 Tricycles and 49 bicycles
Kristen has 64 coins in her bank. She has $9.25 in dimes and quarters. How many dimes and quarters does she have?
Answers
q= # of quarters
QUANTITY EQUATION:
d + q= 64
COST EQUATION:
0.10d + 0.25q= $9.25
STEP 1:
multiply quantity equation by -0.10 to be able to eliminate the d term in step 2
(-0.10)(d + q)= (-0.10)(64)
-0.10d - 0.10q= -6.40
STEP 2:
add equation from step 1 to cost equation to eliminate the d term and solve for q
Add
0.10d + 0.25q= $9.25
-0.10d - 0.10q= -6.40
0.15q= 2.85
divide both sides by 0.15
q= 19 quarters
STEP 3:
substitute q value in step 2 into either original equation to find d value
d + q= 64
d + 19= 64
subtract 19 from both sides
d= 45 dimes
CHECK:
0.10d + 0.25q= $9.25
0.10(45) + 0.25(19)= 9.25
4.50 + 4.75= 9.25
9.25= 9.25
ANSWER: There are 45 dimes and 19 quarters.
Hope this helps! :)
If f(x)=6x^3+5x,g(x)=3x^2+5,and h(x)=9x^2-8 what is the degree of f(g(h(x))) awer choices are a.2 b.3 3.7 4.12
Answers
We know that [tex]h(x)=9x^2-8[/tex] and [tex]g(x)=3x^2+5[/tex]
[tex]g(h(x))=g(9x^2-8)=3(9x^2-8)^2+5[/tex]
[tex]=3(81x^4-144x^2+64)+5[/tex]
[tex]=243x^4-432x^2+192+5[/tex]
[tex]=243x^4-432x^2+197[/tex]
Now that we know that [tex]g(h(x))=243x^4-432x^2+197[/tex], to find [tex]f(g(h(x)))[/tex] we are going to evaluate [tex]f[/tex] at [tex]243x^4-432x^2+197[/tex]
[tex]f(g(h(x)))=f(243x^4-432x^2+197)[/tex]
[tex]f(243x^4-432x^2+197)=6(243x^4-432x^2+197)^3[/tex][tex]+5(243x^4-432x^2+197)[/tex]
[tex]=86093442x^{12}-459165024x^{10}+1025681130x^8-1228219200x^6[/tex][tex]+83152048x^4-301780944x^2+45873223[/tex]
Since the degree of a polynomial is the highest degree of its monomials, we can conclude that the degree of f(g(h(x))) is 12
Answer:
The degree is 12
Step-by-step explanation:
Please help my answer is c, is this right!
Answers
There are 3 X's at 1/4 so you would add 1/4+1/4+1/4=3/4. There are 2 X's at 1/2 so you would add 1/2+1/2=1. There are 2 X's at 3/4 so you would add 3/4+3/4=1.5. There is 1 X at 1 so it would just be 1. Then add all those together 3/4+1+1.5+1=4.25 or you could just add each X as you come across it on the number line like so:
[tex]0.25 + 0.25 + 0.25 + 0.5 + 0.5 + 0.75 + 0.75 + 1 = 4.25[/tex]
Round 5685 to the nearest 100
Answers
Which is an equation of the given line in standard form?
A. -6x+5y=13
B. -6x+7y=-11
C. -6x+7y=11
D. -7x+6y=-11
Answers
[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The coordinates of the points:
[tex](-3;\ -1)\to x_1=-3;\ y_1=-1;\ \left(\dfrac{1}{2};\ 2\right)\to x_2=\dfrac{1}{2};\ y_2=2[/tex]
Substitute:
[tex]m=\dfrac{2-(-1)}{\frac{1}{2}-(-3)}=\dfrac{3}{3\frac{1}{2}}=\dfrac{3}{\frac{7}{2}}=3\cdot\dfrac{2}{7}=\dfrac{6}{7}[/tex]
We have:
[tex]y=\dfrac{6}{7}x+b[/tex]
Substitute the coordinates of the point (-3; -1) to the equation of the line:
[tex]-1=\dfrac{6}{7}\cdot(-3)+b\\\\-1=-\dfrac{18}{7}+b\ \ \ |+\dfrac{18}{7}\\\\b=\dfrac{11}{7}[/tex]
Therefore we have:
[tex]y=\dfrac{6}{7}x+\dfrac{11}{7}\ \ \ |\cdot7\\\\7y=6x+11\ \ \ |-6x\\\\\boxed{-6x+7y=11}[/tex]
Answer: C. -6x + 7y = 11
What is the value of x?
Enter your answer in the box.
x =
Answers
A straight line measures to 180°
The angle that measures 134 and x make a straight line
180 = 134 + x
Subtract 134 from both sides
46 = x
The answer is 46°
Hope this helps!
x = 180 - 134 = 46°
Answer: 46°
Solve for r.
k=ar/p
a r=ka/p
b r=kap
c r=kp/a
d r=a/kp
Answers
[tex]r= \frac{kp}{a} [/tex]
hopefully i was of help, please mark brainly is possible
what number should you subtract from the numerator of the fraction 52367/47633 and add to the denominator so that, after reducing, you get 17/38
Equation needed too!
Answers
The number you should subtract from the numerator (52367) and add to the denominator (47633) of the fraction 52367/47633 to obtain 17/38 after reducing is 21,458.
The equation is:
(52367 - 21458) / (47633 + 21458) = 17/38
To solve this problem, we need to find the number that, when subtracted from the numerator (52367) and added to the denominator (47633), will result in a fraction that reduces to 17/38.
Let's call this number x.
Step 1: Subtract x from the numerator and add x to the denominator.
(52367 - x) / (47633 + x)
Step 2: Set the resulting fraction equal to 17/38 and cross-multiply.
(52367 - x) / (47633 + x) = 17/38
(52367 - x) × 38 = 17 × (47633 + x)
Step 3: Solve for x.
1,990,946 - 38x = 810,761 + 17x
1,180,185 = 55x
x = 21,458
Therefore, the number you should subtract from the numerator (52367) and add to the denominator (47633) to obtain 17/38 after reducing is 21,458.
The equation representing this process is:
(52367 - 21458) / (47633 + 21458) = 17/38
the difference between the product of 6 and a number and negative two times the number
Answers
the drawing is composed of a rectangle and a semicircle 18 cm 22 cm
Answers
The perimeter is L + w + L + perimeter of a semicircle.
L = 22 cm
W = 18 cm
Perimeter can be one of two answers. You need to specify where the semicircle is. Formula for semicircle is
pi * r
r = 18/2 = 9 or
r = 22/2 = 11
So the perimeter of the semi circle is pi * 9 = 25.12 The total Perimeter = 22 + 22 + 18 + 25.12 = 87.12
It can also be 22 + 18 + 22 + 34.54 = 96.54 There are even more possiblities for perimeter. I would have the same problem if you asked about area.
Why not put more details in and I'l give you the correct answer. Here is what we need to know
1. Where is the circle on the 22 cm side or the 18 cm side?
2. What are you looking for: perimeter or area? As soon as you answer these I'll be back.
simplified form of the expression (5.23x + 3.76) − (3.67x − 6.39)
Answers
[tex]5.23x + 3.76 - 3.67x + 6.39 \\ = 1.56x + 10.15[/tex]
Answer:
1.56x + 10.15
Step-by-step explanation:
(5.23x + 3.76) – (3.67x – 6.39)
(a + b) – (c – d) = a + b – c + d
Remove the parentheses and change the signs as needed:
5.23x + 3.76 – 3.67x + 6.39.
Group the like terms and simplify:
5.23x – 3.67x + 3.76 + 6.39
1.56x +10.15.
The simplified form of (5.23x + 3.76) – (3.67x – 6.39) is 1.56x + 10.15.
Please help is the answers is 6
Answers
If 400 bricks measuring 81" by 31" are required to build a wall 42 ft. high, how long is the wall? feet.
Answers
b= 400, let H height and l length
Area = 81*31 or 6.75*2.58 = 17.44 ft²
b(17.44ft²)=Hl
400(17.44 ft²) =42 l
l= 6975/42 = 166.07
so the length of the wall is 166 ft approximately as a whole number
there are a total of 122 countries in Africa, Europe, and North America. Europe has twice as many countries as North America, and Africa has seven more than Europe. How many countries are in each continent? write an equation and solve it to answer the question
Answers
A = E + 7 = 2n + 7
n + 2n + 2n +7 = 122
A recipe for cookies requires 2/3 cup of butter. Rama wants to make 3/4 of the recipe. How many cups of butter should Rama use to make the cookies?
Answers
= (2/3)(3/4)
multiply numerators; multiply denominators
= (2*3)/(3*4)
= 6/12
simplify by 6
= 1/2 cup
ANSWER: Rama should use 1/2 cup of butter.
Hope this helps! :)
The height of a model rocket is 4.5% of the height of the actual rocket. The model is 1.32m high. How high is the actual rocket? Please show your work.
Answers
x is the actual height of the rocket.
4.5% is really 0.045 (move the decimal place 2 times to the left).
1.32 = 0.045x
Divide both sides by 0.045.
x = 29.3
The height of the actual rocket is 29.3 meters.
To find the height of the actual rocket given the height of the model rocket, we can use the ratio between the two. By setting up and solving a simple equation, we can determine that the height of the actual rocket is 29.33 meters.
To find the height of the actual rocket, we need to start by determining the ratio between the height of the model rocket and the actual rocket. Given that the model rocket is 4.5% of the height of the actual rocket, we can use this ratio to solve for the height of the actual rocket.
Let's denote the height of the actual rocket as x. Since the model rocket is 4.5% (or 0.045) of the actual rocket's height, we can set up the equation:
0.045x = 1.32
To solve for x, we divide both sides of the equation by 0.045:
x = 1.32 / 0.045
Calculating this expression gives us the height of the actual rocket as 29.33 meters.
Native Americans once lived near Cartersville, Georgia, in an area that is now a state park. They constructed burial mounds that often contained artifacts, such as beads, feathers, and copper ear ornaments. One of the park's mounds is 63 feet in height. Be a Math Detective. If the top of the mound is rectangular in shape with a perimeter of 322 yards, what could be the side lengths of the rectangle?
Answers
The sides of the rectangle atop of the mound could be multiple pairs of measurements. One such possible example is 100 yards by 61 yards which satisfy the perimeter equation, given the perimeter of the rectangle is 322 yards.
Explanation:The question is asking about the side lengths of the rectangular top of an ancient mound in Cartersville, Georgia. This is a math problem that uses the concept of perimeter.
The perimeter of a rectangle is given by the formula: P = 2l + 2w where P is the perimeter, l is the length, and w is the width. We know that the perimeter of the rectangle is 322 yards. We can solve for the sides (length and width) by setting up equations using various combinations of numbers that, when plugged into the formula, result in a sum of 322.
It's important to note that we won't have a unique solution to this because a rectangle's perimeter doesn't determine its side lengths uniquely, but only within certain limits. So, there could be multiple correct answers.
For example, if we consider the length to be 161 yards, and the width to be 0 yards, it would still satisfy the perimeter equation. But since width cannot be zero, we can suppose the length to be longer side and width to be smaller, say 100 yards and 61 yards, which also add up to produce a perimeter of 322 yards. So, one possible solution is 100 yards by 61 yards.
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Susan received grades of 78, 93, 82, and 76 on four math exams. What is the lowest score she can receive on her next math exam and have an average of at least 85 on the five exams?
A) 96
B) 94
C) 92
D) 90
E) 88
Answers
Choice A) 96
==========================================
Explanation:
The original list of scores is {78, 93, 82, 76}
Add x to the list to get this new list {78, 93, 82, 76, x}
Let's find the average of the new set
Add up the values and divide by 5. We force this average to be 85 since this is the grade Susan wants
(78+93+82+76+x)/5 = 85
(329+x)/5 = 85
329+x = 85*5
329+x = 425
x = 425-329
x = 96
So if Susan gets a 96 or greater on the fifth test, then she'll have an average of at least 85 (that score or greater)
Given a mean of 61.2 and a standard deviation of 21.4 what is the z score of the value 90 rounded to the nearest tenth?
Answers
Answer:
The z-score of 90 is 1.35
Step-by-step explanation:
The z-score is calculated using the formula:
[tex]z = \frac{x - \mu}{ \sigma} [/tex]
From the question, it was given that the mean is
[tex] \mu = 61.2[/tex]
and the standard deviation is
[tex] \sigma = 21.4[/tex]
and x=90.
We substitute the given values to obtain:
[tex]z = \frac{90 - 61.2}{21.4} [/tex]
[tex]z = \frac{28.8}{21.4} = 1.35[/tex]
Answer:
1.35
Step-by-step explanation:
The measure of angle x is 25 more than 4 times the measure of its complement. Find the measure of x.
Answers
- One angle measures x degrees.
- The other angle measures 25 more than 4 times the angle that measures x degrees; it measures 4x + 25 degrees.
To find x, set the sum of these expressions (x and 4x + 25) equal to 90 and solve algebraically for x.
90 = x + (4x + 25)
90 = x + 4x + 25
90 = 5x + 25
65 = 5x
13 = x
If you wanted to find the measure of angle x, you'd substitute 13 for x in its expression, 4x + 25.
4x + 25
4(13) + 25
52 + 25
77
Answer:
x = 13
m∠x = 77°
Haley has some cubes each cube has a side length of 4 inches what is the volume in cubic inches of each cube
Answers
V=s*s*s
where s represents a side
so...
V=4in.*4in.*4in.
4*4*4=64
V=64 in. cubed
George earns $455 per week. George recieves a 20% raise. How can george calculate his new weekly per rate?
Answers
OPTION 1:
multiply current pay by 20%, then add the result to the current pay
Step 1:
multiply pay by 20% increase
=$455 * 20%
=$91 increase
Step 2:
add pay increase from step 1 to current pay rate
=$455 + $91
=$546 new weekly rate
OPTION 2:
multiply current pay by (1 + 20%)
=($455)(1 + 20%)
=(455)(1.20)
=$546 new weekly rate
ANSWER: His new weekly rate is $546 per week.
Hope this helps! :)
Cody and Ashley are helping their dad fertilize the lawn. They have 3 1/3 pounds of fertilizer and 3 buckets. Each bucket will get the same amount of fertilizer. Cody measures 1 pound of fertilizer into each bucket. The following equation represents this situation, where x represents the additional amount of fertilizer each bucket will get. 3 (x+1) = 3 1/3
How much more fertilizer should each bucket get?
A. 1/9 of a pound
B. 2/3 of a pound
C. 2/9 of a pound
D. 1/3 of a pound
Answers
Answer:
1/9 pound
Step-by-step explanation: