another expression 3/4÷6
Answer:
1/16 + 1/16
..............................
Answer:
3/4 x 1/6
Step-by-step explanation:
both would end up as 1/8
hope this helps :)
A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 3840 seats. The students left 2496 seats vacant. What percentage of the seats in the theater were filled by the 6th graders on the trip?
Answer:
35%
Step-by-step explanation:
Answer:
35%
Step-by-step explanation:
First, we must calculate how many seats are taken by 6th graders. We do this by subtracting the total seats by vacant seats. 3840-2496=1,334. Then, we must find the percent of students that were 6th grade who filled the seats. We do this by dividing all the chairs taken by the 6th graders and divide it by the total chairs which gets you .35. And with percentages, you move the decimal place two times to the right which gets you 35%.
What are the two consecutive whole numbers that the quotient for 86/11 is between?
Answer:
7 and 8
Step-by-step explanation:
The quotient is the answer to a division problem.
86/11= 7.81818182
This number is in between 7 and 8
The same survey database cited in exercise 4.3.1 (A-5) shows that 32 percent of U.S. adults indicated that they have been tested for HIV at some point in their life. Consider a simple random sample of 15 adults selected at a time. Let X be the number of adults who have been tested for HIV in the sample. For the following, find the numerical answer and describe the answer in words:
a. Three
b. Between five and nine, inclusive
c. More than five, but less than 10
d. Six or more
e. Less than five
f. Find the mean and the variance of the number of people tested for HIV in samples of size 15.
Answer:
a. P(X = 3) = 0.145736
b. P(5≤X≤9) = 0.5462
c. P(5<X<10) = 0.3332
d. P(X≥6) = 0.3393
e. P(X<5) = 0.4477
f. Mean = 4.8, Variance = 3.264
Step-by-step explanation:
Given - The same survey database cited in exercise 4.3.1 (A-5) shows
that 32 percent of U.S. adults indicated that they have been
tested for HIV at some point in their life. Consider a simple
random sample of 15 adults selected at a time. Let X be the
number of adults who have been tested for HIV in the sample.
To find - For the following, find the numerical answer and describe
the answer in words:
a. Three
b. Between five and nine, inclusive
c. More than five, but less than 10
d. Six or more
e. Less than five
f. Find the mean and the variance of the number of people
tested for HIV in samples of size 15.
Proof -
Given that , n = 15, p = 32% = 0.32
Now,
a.
P(X = 3) = binomial distribution (3, 15, 0.32, 0)
= [tex]\left(\begin{array}{ccc}15\\3\end{array}\right)(0.32)^{3}(1-0.32)^{15 - 3}[/tex]
= 455(0.032768)(0.009774)
= 0.145736
⇒P(X = 3) = 0.145736
b.
P(5≤X≤9) = P(X = 5) + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9)
= [tex]\left(\begin{array}{ccc}15\\5\end{array}\right)(0.32)^{5}(1-0.32)^{15 - 5}[/tex]+ [tex]\left(\begin{array}{ccc}15\\6\end{array}\right)(0.32)^{6}(1-0.32)^{15 - 6}[/tex] + [tex]\left(\begin{array}{ccc}15\\7\end{array}\right)(0.32)^{7}(1-0.32)^{15 - 7}[/tex] + [tex]\left(\begin{array}{ccc}15\\8\end{array}\right)(0.32)^{8}(1-0.32)^{15 - 8}[/tex]+ [tex]\left(\begin{array}{ccc}15\\9\end{array}\right)(0.32)^{9}(1-0.32)^{15 - 9}[/tex]
= 0.213 + 0.1671 + 0.1011 + 0.0476 + 0.0174
= 0.5462
⇒P(5≤X≤9) = 0.5462
c.
P(5<X<10) = + P(X = 6) + P(X = 7) + P(X = 8) + P(X = 9)
= [tex]\left(\begin{array}{ccc}15\\6\end{array}\right)(0.32)^{6}(1-0.32)^{15 - 6}[/tex] + [tex]\left(\begin{array}{ccc}15\\7\end{array}\right)(0.32)^{7}(1-0.32)^{15 - 7}[/tex] + [tex]\left(\begin{array}{ccc}15\\8\end{array}\right)(0.32)^{8}(1-0.32)^{15 - 8}[/tex]+ [tex]\left(\begin{array}{ccc}15\\9\end{array}\right)(0.32)^{9}(1-0.32)^{15 - 9}[/tex]
= 0.1671 + 0.1011 + 0.0476 + 0.0174
= 0.3332
⇒P(5<X<10) = 0.3332
d.
P(X≥6) = 1 - P(X < 6)
= 1 - P(X ≤ 5)
= 1 - binomial(5, 15, 0.32, 1)
= 1 - 0.6607
= 0.3393
⇒P(X≥6) = 0.3393
e.
P(X<5) = P(X≤4)
= binomial (4, 15, 0.32, 1)
= 0.4477
⇒P(X<5) = 0.4477
f.
Mean = np
= 15(0.32)
= 4.8
⇒Mean = 4.8
Variance = np(1-p)
= 15(0.32)(1 - 0.32)
= 4.8(0.68)
= 3.264
⇒Variance = 3.264
If the perimeter of A is 36ft and the perimeter of B is 48 ft, what is the perimeter of square C?
Answer:
64
Step-by-step explanation
48/36=4/3
36x4/3=48 so...
48x4/3=64
Answer:
64
Step-by-step explanation:
the ratio of the angle measures of a pentagon is 4:5:3:8:7. what is the measure of the smallest angle. help pleasee
Answer:
geometry
The ratio of the angle measures of a pentagon is 4:5:3:8:7. What is the measure of the smallest
The sum of the interior angles of a pentagon is 180(5-2) = 540º
so
4x + 5x + 3x + 8x + 7x = 540
solve for x and sub into 3x
Solve.
5) Solve 2y + 12 < 42.
Show your work.
The answer is y < 15
Answer:
y<15
Step-by-step explanation:
Subtract 12 from both sides.
2y+12−12<42−12
2y<30
Step 2: Divide both sides by 2.
2y
2
<
30
2
y<15
Answer:
y<15
Please find the circumference, will give brainliest!
Answer:
43.96
Step-by-step explanation:
Jake is 5 years older than his brother Kevin.
Kevin is k years old. Write an algebraic
expression for Jake's age.
Answer:
5+k
Step-by-step explanation:
its saying jake is 5 MORE then kevin so either add or multiply.
y = 2Vx+4
vertex:
domain:
range:
y-intercept:
x-intercept:
Answer:
y = 2vx+4
x= y/2v - 2/v
Domain (-infinite sign , infinite sign)
Range (-infinite sign , infinite sign)
vertex center (0,0)
vertices (2,0) , (-2,0)
Foci (6,0) , (-6,0)
Eccentricity 6/2
focal 6/3
Asymptotes : y=2x/2 , y=-x2/2
2/7 of 49
fractions
Answer:
14
Step-by-step explanation
what is the value of X and Y
Answer:
x = 2.25 y =6
Step-by-step explanation:
Its a SCALE DRAWING with a factor of 3/4. Just multiply all the lengths of the first triangle by 3/4. 12 x 3/4 = 9 8 x 3/4 = 6 3 x 3/4 = 2.25
Hope this helped! If it did, please mark brainliest! It would help me out a lot! Thanks! :D
Find the volume of the triangular prism.
PLEASE HELP!
Answer:
53.76 cm³
Step-by-step explanation:
1/2(4.8)(3.2)(7)=53.76
The picture is quite blurry. I think it's 4.8 at the base, but can't see for sure.
Caleb is comparing the growth of plants using two different fertilizers
Part A use the measures of center from the box plots to make an inference about the data. Use the drop down menus to explain your answer
Part B use the box plots to make an inference using the variability of the data. Drag words to complete the statement. Words may be used once, more than once, or not at all.
Answer: Medians, Less
Part A
Use the measures of center from the box plots to make an inference about the data. Use the drop-down menus to explain your answer.
Based on the medians, the plants in Group A grew
less on average, as compared to the plants in Group B.
Part B Answer: Greater, Less
The range and IQR are greater
in Group B as compared to Group A, so there is less variability in the growth of plants in Group B.
Answer:
Answer: Medians, Less
Part A
Use the measures of center from the box plots to make an inference about the data. Use the drop-down menus to explain your answer.
Based on the medians, the plants in Group A grew
less on average, as compared to the plants in Group B.
Part B Answer: Greater, Less
The range and IQR are greater
in Group B as compared to Group A, so there is less variability in the growth of plants in Group B.
Step-by-step explanation:
Graph the inequality on a grid which resembles the image. 400x + 4y < 2000
Answer:
te awnser is
Step-by-step explanation:
help plssssssssssssssssssssssssssssssssssssssssssssssssssssssss
what is the volue of j?
Answer:
23 is the answer the J is acute but it has a vary so it is even smaller than 49 so it's like subtracting 26
Answer: j=27 degrees
49+j=76 because vertical angles are always congruent. Now that we know that, we can subtract 49 from 76 which equals 27 degrees and that's your answer!
Hope this helped you!
NEED HELP FOR THIS QUESTION
I want to buy some Botswana pulas and the exchange rate is 8.25 BWP = £1 if I buy them abroad using a credit card or 8.5 BWP = £1 for a cash transaction at a Bureau de Change. The credit card company will charge me 2.3% commission on a credit card transaction whereas a Bureau de Change charges 2% commission plus a fee of £3.
Write down an expression for the cost (including commission) of buying a particular number of Botswana pulas
(a) by credit card and
(b) from a Bureau de Change.
c. Evaluate each of these expressions for 700 BWP, 800 BWP, and 1000 BWP respectively.
d. Hazard a guess as to the number of pulas you would have to buy for the cost to be the same whether you use a credit card or cash.
Answer:
(a) A = 0.00278787878787878x
(b) B = 0.00235294117647058x + 3
(c) The answers are as follows:
For buying by credit card
For 700 BWP: Cost = A = £1.95
For 800 BWP: Cost = A = £2.23
For 800 BWP: Cost = A = £2.79
For buying from a Bureau de Change
The equation (4) is used as follows:
For 700 BWP: Cost = B = £4.65
For 800 BWP: Cost = B = $4.88
For 1000 BWP: Cost = B = £5.35
(d) You would have to buy 6,897.54 pulas for the cost to be the same whether you use a credit card or cash.
Step-by-step explanation:
(a) by credit card
For the exchange rate, we have:
8.25 BWP = £1 ⇒ 8.25 / 8.25 BWP = £1 / 8.25 = 1.00 BWP = £0.121212121212121
The expression can therefore be written as follows:
A = £0.121212121212121 * r * x ................. (1)
Where;
A = cost (including commission) of buying a particular number of Botswana pulas by credit card
r = commission on a credit card transaction = 2.3%, or 0.023
x = the number of pulas bought
Substituting for r into equation (1), we have:
A = £0.121212121212121 * 0.023 * x
A = 0.00278787878787878x ................. (2)
Equation (2) is the expression.
(b) from a Bureau de Change
For the exchange rate, we have
8.5 BWP = £1 ⇒ 8.5 / 8.5 BWP = £1 / 8.5 = 1.00 BWP = 0.117647058823529
B = (£0.117647058823529 * r * x) + F ................. (3)
Where;
B = cost (including commission) of buying a particular number of Botswana pulas by from a Bureau de Change.
r = commission charged by Bureau de Change. = 2%, or 0.02
x = the number of pulas bought
F = fee = £3
Substituting for r and F into equation (3), we have:
B = (£0.117647058823529 * 0.02 * x) + £3
B = 0.00235294117647058x + 3 ................. (4)
Equation (4) is the expression.
c. Evaluate each of these expressions for 700 BWP, 800 BWP, and 1000 BWP respectively.
For buying by credit card
The equation (2) is used as follows:
For 700 BWP: A = £0.00278787878787878 * 700 = £1.95
For 800 BWP: A = £0.00278787878787878 * 800 = £2.23
For 800 BWP: A = £0.00278787878787878 * 1000 = £2.79
For buying from a Bureau de Change
The equation (4) is used as follows:
For 700 BWP: B = (£0.00235294117647058 * 700) + £3 = £1.65 + £3 = £4.65
For 800 BWP: B = (£0.00235294117647058 * 800) + £3 = £1.88 + £3 = $4.88
For 1000 BWP: B = (£0.00235294117647058 * 1000) + £3 = £2.35 + £3 = £5.35
d. Hazard a guess as to the number of pulas you would have to buy for the cost to be the same whether you use a credit card or cash.
This can be calculated by equating equations (2) and (4) and then solve for x as follows:
0.00278787878787878x = 0.00235294117647058x + 3
0.00278787878787878x - 0.00235294117647058x = 3
x(0.00278787878787878 - 0.00235294117647058) = 3
x0.0004349376114082 = 3
x = 3 / 0.0004349376114082
x = 6,897.54 pulas
Therefore, you would have to buy 6,897.54 pulas for the cost to be the same whether you use a credit card or cash.
What is the value of p in the equation
8p +2 = 4p - 102
1) 1
2) -1
3) 3
4) -3
Answer:
-26
Step-by-step explanation:
sorry but from my calculations I didn't get any of the options I got -26
4. A square has a perimeter of 28 units, an
ared of 49 units, and sides that are either
horizontal or vertical. The vertices are all
located in the same quadrant where the x
value is negative. What are the possible
coordinates of the square?
Answer:
7
Step-by-step explanation:
perimeter - 7+7+7+7=28
area - 7×7 = 49
it's a square so all sides are the same length.
area is length times width
perimeter is all sides added together.
A rectangular balcony is 10 feet long and 4 feet wide. What is its area?
A square notepad has sides that are 14 centimeters long. What is the notepads perimeter?
Answer:
56 cm (22.4 in)
Step-by-step explanation:
14+14+14+14=56 or 14x4=56
For every quarter spent, Reggie receives 75 food pebbles to feed the fish at a hatchery. Reggie has thrown 600 food pebbles into the fish pools. How many quarters did Reggie spend at the hatchery?
Answer:
8
Step-by-step explanation:
Which of the following could result in higher living costs for the homeowner that the renter doesn't have?
a. decreased property value
b. down payment
C. maintenance
d. monthly payment
Please select the best answer from the choices provided
ΟΟΟΟ
Mark this and retum
Save and Exit
Next
Submit
Answer:
MAINTENANCE
Step-by-step explanation:
write the fraction whole
diameter is 7 and numerator is 4
Answer:
[tex]\dfrac{4}{7}[/tex]
Step-by-step explanation:
A fraction can be written as :
[tex]F=\dfrac{x}{y}[/tex]
Where
x is numerator and y is denominator
We need to write a fraction for denominator 7 and numerator 4.
Substitute the values,
[tex]F=\dfrac{4}{7}[/tex]
Hence, the fraction is equal to [tex]\dfrac{4}{7}[/tex].
Pls helppp I don’t understand also if you can can you show the works pls if you can tho
Answer:
I would help but it is just black try to repost it and i will tell you what it is
Step-by-step explanation:
Mark is six years older than his brother Sam. The sum of their ages is 30. Let a be Sam's age. Set
up an equation using the information given.
Answer:
(m+6)+m=30
Step-by-step explanation:
Determine whether the given answer is a Solution or Not a Solution
x<6 x=3
x≥10 x=10
x>−3 x=−6
x≤15 x=20
x<9 x=9
x≥8 x=12
Answer:
1- yes
2- yes
3- no
4- no
5- no
6- yes
Step-by-step explanation:
A radio that costs $29.49 was marked up by 35%
Answer:
the new price of the radio is $39.81
Step-by-step explanation:
multiply the cost by the mark up to find how much the price was raised by
29.49•0.35= 10.32
then add the mark up to the original price
10.32+29.49= $39.81
and I rounded to the hundreds place because it's money
hope this helps babe <3
Answer:
I think it is $21.84
Step-by-step explanation:
What is the area of the object above?
A.
158 sq cm
B.
94 sq cm
C.
142 sq cm
D.
102 sq cm
Answer:
102cm2
Step-by-step explanation:
Split the shape into two rectangles:
A. 4 x 8 = 32cm2
B. 7 x 10 = 70cm2
70 + 32 = 102cm2
Help I’m doing 8th grade work
Answer:
I think B by I'm not sure
Step-by-step explanation:
I'm not good with this subject