Answer:85
Step-by-step explanation:
Is 3/7 bigger then 3/5
Answer:
No they are equivalent
Step-by-step explanation:
3/7 =21/35
3/5=21/35
Answer:
no
Step-by-step explanation:
find a common denominator we are going to do 35
3/7= 15/35
3/5= 21/35
The ratio of boys to girls in the sixth grade was 5:7. If there are 14 more girls, how many sixth graders are there?
Answer:
84
Step-by-step explanation:
7-5=2
2u-> 14
1u->7
7+5=12
12u-> 84
Answer:
boy=5 girls=7 + 14= 21 girls
Step-by-step explanation:
Which line is parallel to the graph of the line y=-2/3x-5?
y=-3/2x-1
y=-2/3x-7
y=2/3x+2
y=3/2x+6
Calculate the sample mean and sample variance for the following frequency distribution of heart rates for a sample of American adults. If necessary, round to one more decimal place than the largest number of decimal places given in the data. Heart Rates in Beats per Minute Class Frequency 51 - 58 6 59 - 66 3 67 - 74 11 75 - 82 13 83 - 90 4
Answer:
[tex]Mean = 68.9[/tex]
[tex]s^2 =18.1[/tex] --- Variance
Step-by-step explanation:
Given
[tex]\begin{array}{cccccc}{Class} & {51-58} & {59-66} & {67-74} & {75-82} & {83-90} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}[/tex]
Solving (a): Calculate the mean.
The given data is a grouped data. So, first we calculate the class midpoint (x)
For 51 - 58.
[tex]x = \frac{1}{2}(51+58) = \frac{1}{2}(109) = 54.5[/tex]
For 59 - 66
[tex]x = \frac{1}{2}(59+66) = \frac{1}{2}(125) = 62.5[/tex]
For 67 - 74
[tex]x = \frac{1}{2}(67+74) = \frac{1}{2}(141) = 70.5[/tex]
For 75 - 82
[tex]x = \frac{1}{2}(75+82) = \frac{1}{2}(157) = 78.5[/tex]
For 83 - 90
[tex]x = \frac{1}{2}(83+90) = \frac{1}{2}(173) = 86.5[/tex]
So, the table becomes:
[tex]\begin{array}{cccccc}{x} & {54.5} & {62.5} & {70.5} & {78.5} & {86.5} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}[/tex]
The mean is then calculated as:
[tex]Mean = \frac{\sum fx}{\sum f}[/tex]
[tex]Mean = \frac{54.5*4+62.5*3+70.5*11+78.5*13+86.5*4}{6+3+11+13+4}[/tex]
[tex]Mean = \frac{2547.5}{37}[/tex]
[tex]Mean = 68.9[/tex] -- approximated
Solving (b): The sample variance:
This is calculated as:
[tex]s^2 =\frac{\sum (x - \overline x)^2}{\sum f - 1}[/tex]
So, we have:
[tex]s^2 =\frac{(54.5-68.9)^2+(62.5-68.9)^2+(70.5-68.9)^2+(78.5-68.9)^2+(86.5-68.9)^2}{37 - 1}[/tex]
[tex]s^2 =\frac{652.8}{36}[/tex]
[tex]s^2 =18.1[/tex] -- approximated
this is kirtys recipe for breakfast cereal 50 grams of oats 30 grams of raisins 40 grams of nuts if she uses 125 grams of oats, how many grams of
raisins does she need
Suppose that f(x) = 3 (8x - x^2)/256 for 0 < x < 8
Determine the following probabilities. Round all of your answers to 3 decimal places (e.g. 98.765).
a. P(X < 5)
b. P(X< 9)
c. P(5 < X < 7)
d. P(X > 3)
e. Determine x such that P(X < x) = 0.95
Answer and Step-by-step explanation: This function is a probability density function of a random variable X:
[tex]f(x)=\frac{3(8x-x^{2})}{256}[/tex]
and to calculate probabilities, we will have to integrate it:
[tex]P(X<x)=\int\limits^x_0 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]
Solving:
[tex]P(X<x)=\frac{3}{256}(4x^{2}-\frac{x^{3}}{3} )[/tex]
Then:
a. P(X < 5)
[tex]P(X<5)=\int\limits^5_0 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]
[tex]P(X<5)=\frac{3}{256}(100-\frac{125}{3} )[/tex]
[tex]P(X<5)=\frac{3}{256}(\frac{300-125}{3} )[/tex]
[tex]P(X<5)=\frac{175}{256}[/tex]
P(X < 5) = 0.683
b. P(X < 9)
Since density function's upper limit is 8, probability of x < 9 is 100% or 1.
So, P(X < 9) = 1
c. P(5 < X < 7)
[tex]P(5<X<7)=\int\limits^7_5 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]
[tex]P(5<X<7)=\frac{3}{256}[4(7)^{2}-\frac{7^{3}}{3}-4(5)^{2}+\frac{5^{3}}{3}][/tex]
[tex]P(5<X<7)=\frac{3}{256}[96-\frac{218}{3} ][/tex]
[tex]P(5<X<7)=\frac{70}{256}[/tex]
P(5 < X < 7) = 0.273
d. P(X > 3)
[tex]P(X>3)=\int\limits^8_3 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]
[tex]P(X>3)=\frac{3}{256}[256-\frac{512}{3}-36+9 ][/tex]
[tex]P(X>3)=\frac{3}{256}(229-\frac{512}{3} )[/tex]
[tex]P(X>3)=\frac{175}{256}[/tex]
P (X > 3) = 0.683
e. P(X < x) = 0.95
[tex]0.95=\int\limits^x_0 {\frac{3}{256}(8x-x^{2}) } \, dx[/tex]
[tex]\frac{3}{256}[\frac{12x^{2}-x^{3}}{3} ] =0.95[/tex]
[tex]\frac{12x^{2}-x^{3}}{256}=0.95[/tex]
[tex]12x^{2}-x^{3}=243.2[/tex]
[tex]-x^{3}+12x^{2}-243.2=0[/tex]
Solving this cubic equation, we have three values for x:
x₁ = -3.909
x₂ = 8.992
x₃ = 6.917
The value of x will the one between 0 and 8, which are the limits of the function. So, value of x which gives a probability of 0.95 is x = 6.917.
A phone company has two long distance calling plans. The first plan is $25 per month plus $0.01 per minute of long distance calling after the first 100 minutes. The second plan is $10 per month plus $0.05 per minute of long distance calling.
How many minute of long distance calls will it take for the plans to cost the same amount?
Answer:
286 minutes
Step-by-step explanation:
can you give brainlest or good review
Answer:
Hello!
Let's call X to the number of minutes of long-distance calls you plan to make.
The cost of plan A is given by 25%2B0.05X
The cost of plan B is given by 5%2B0.12X
Plan B is advantageous when its cost is lower than plan A's. Therefore, we set the inequality
5%2B0.12X+%3C+25%2B0.05X
And then solve for X. This will give us the range of minutes for which B is more convenient.
Subtract 5 from both sides of the inequality to get:
0.12X+%3C+20%2B0.05X
Now subtract 0.05X:
0.12X+-+0.05X+%3C+20
0.07X%3C20
Finally, divide by 0.07 to get:
X+%3C+20%2F0.07
X++%3C+285.71
So plan B is advantageous if you plan to use less than 286 minutes of long distance calls.
I hope this helps!
Step-by-step explanation:
What is the product of 3.6 x 4.2
Answer:
15. 12
Step-by-step explanation:
just multiply them
What is 5 x 5 is it 25 or 35
Answer:
25 7 x 5 is 35
Step-by-step explanation:
hope this helps have a good rest of your afternoon :) ❤
Answer:
5 times 5 is 25.
Step-by-step explanation:
Hope this helps you dude
s h r e k (in a maid outfit)
Can someone please help me.
Answer:
B.
Step-by-step explanation:
That's like the only answer that makes sense.
A shoe store uses a 60% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of $55?
The selling price should be $88
Given that,
The markup percentage is 60% and the wholesale cost is $55.calculation:= $55 + (60% of $55)
= $55 + $33
= $88
Learn more about the price here: https://brainly.com/question/25300841?referrer=searchResults
Answer:
88
Step-by-step explanation:
If f(x) = 3x - 7, find f(-1)
Will give brainliest
A ?
B?
C?
Answer:
A) convex
B) concave
C) scalene
Step-by-step explanation:
A) Convex:
A concave polygon have "caves."
All diagonals fit inside of a convex polygon.
B) Concave:
They have at least one diagonal on the outside. Not all fit snugly inside like a convex polygon.
C) Scalene:
Scalene polygons have sides that are all unequal from each other.
Below is a picture of convex and concave polygons.
The bar diagram represents 12 months in a year. If u slept 33% of the year how many months are spent sleeping? Represent your answer using the bar diagram.
Answer:
Rounded to whole numbers, if he slept for 33% of the year, he slept for a total of 4 months.
Step-by-step explanation:
Given that in a year there are a total of twelve months, if he slept for 33% of the year, to determine how many months are spent sleeping the following calculation must be performed:
12 - (12 x 33/100) = X
12 - (12 x 0.33) = X
12 - 3.96 = X
8.04 = X
12 - 8.04 = 3.96
Thus, rounded to whole numbers, if he slept for 33% of the year, he slept for a total of 4 months.
(10p) An actuary has discovered that policyholders are three times as likely to le two claims as to le four claims. The number of claims led has a Poisson distribution. Compute the variance of the number of claims led. You can use, without a proof, that the variance of a Poisson distribution is equal to its mean.
Answer:
Hello your question is poorly written below is the complete question
An actuary has discovered that policyholders are three times as likely to file two claims as to file four claims. If The number of claims filed has a Poisson distribution. Compute the variance of the number of claims filed. You can use, without a proof, what is the variance of a Poisson distribution is equal to its mean
answer : variance = 2
Step-by-step explanation:
compute the variance of the number of claims filed
x = number of claim filed
For Poisson distribution
mean = variance = Л
∴ Variance = 2
HELP PLS 30 PTS !!!!!!!!!!!!
Answer:
its the second one bc if u multiply 8.34 times 5305 it equals to 44243.7 the diameter of the pool was jus to throw u off it was unneeded information.
Step-by-step explanation:
30 + 18 = 6(5 + ___)
Answer:
3
Step-by-step explanation:
30 + 18 = 48
5 + 3 = 8, 6 x 8 = 48
If this was helpful vote brainliest :)
Help me from 3 through 8
Answer:
3)x=−9 and x=4
4)x=−12 and x=−5
5)x=8 and x=14
6)x=−7 and x=3
7)x=-1 2/3 and x = 1/4
8)x=2/5
Step-by-step explanation:
Hope this helps
Solve step by step:
n + 8 = -10
Answer:
n=-18
Step-by-step explanation:
subtract 8 from both sides.
then you do -10 subtracted by 8 and thats -18.
What is the equation of the line that passes through the point (-6,1) and has a
slope of -3/2
a Basketball ticket costs $45 but they are having a promotional game night and all tickets are 25% off what is the new price of the ticket
Answer:
Should be $11.25
Step-by-step explanation:
Since 25% is 1/4 you can just divide 45 by 4.
45/4 = 11.25
Answer: 33.75. 25% of 45 is 11.25. So 45-11.25=33.75
Step-by-step explanation:
A coffee pot had 1
1/2 pints of coffee.
After a mug was
filled, there were 1
pint left in the pot.
How many ounces of
coffee were in the
mug?
Answer:
8 ounces
Step-by-step explanation:
Since there was 1 pint left, that means the mug had 1/2 pints of coffee.
Now, convert this to ounces. There are 16 ounces in a pint, so we can find how many ounces there were by multiplying 16 by 1/2
16(1/2)
= 8
So, there were 8 ounces of coffee in the mug
11. In rhombus MATH, MS = 6 and SA = 8. Find the perimeter of the rhombus.
M
А
8
A
S
I
T
Answer:
40
Step-by-step explanation:
A rhombus diagonals form perpendicular angles. It also bisects and form 4 right triangles. Looking at triangle MAS, we can use pythagorean theorem to find the side MA.
[tex]ms {}^{2} + sa {}^{2} = {ma}^{2} [/tex]
ms=6, sa =8 so we plug that in.
[tex]6 {}^{2} + {8}^{2} = ma {}^{2} [/tex]
Simplify
[tex]36 + 64 = ma {}^{2} [/tex]
[tex]100 = ma {}^{2} [/tex]
take sqr root
[tex] \sqrt{100} = ma[/tex]
[tex]ma = 10[/tex]
Now let find the perimeter
Since perimeter of a Rhombus is 4a where a is the length of a side. We plug it in
[tex]4(10) = 40[/tex]
The answer is 40
I need help on this plz
Answer:
x = 3
Step-by-step explanation:
You can use cross multiply.
8x = 6 x 4
8x = 24
x = 3
Answer:
x = 3
Step-by-step explanation:
Multiply x by 8 to get 8x
Multiply 6 by 4 to get 24
Place 8x and 24 into an equation to get 8x = 24
Divide 8x and 24 by 8
The 8 from 8x is canceled out, leaving the answer:
x = 3
4. The__________ is the original figure.
A. image
B. per-image
C. enlargement
D. reduction
Answer:
he is the answer
Step-by-step explanation:
Answer:
b
Step-by-step explanation:
Please help me solve |3b+9| -16 = -52
Answer:
b= -15
Step-by-step explanation:
First combine like terms 9-16= -7
Left 3b-7= -52
Next add 7 to both sides
Left 3b= -45
Finally divide
So b= -15
Find the value of x.
b
(23x+1)
52°
3
Answer:
Step-by-step explanation:
Adjacent angles when a line crosses another line must have a sum of 180 degrees.
52+2^(3x+1)=180
2^(3x+1)=128, 128=2^7 so
2^(3x+1)=2^7 which means
3x+1=7
3x=6
x=2
HELPPPP PLZ. I NEED HELP PLZ I WILL GIVE MORE POINTS AND BRAINLIEST FOR CORRECT ANSWER.
Nicole is more expansive
Step-by-step explanation:
x for Rhonda replaced by 2 = 21. X for Nicole replaced by 2=24
Answer:
Step-by-step explanation:
Nicole is more expansive
Step-by-step explanation:
x for Rhonda replaced by 2 = 21. X for Nicole replaced by 2=24
answer this fast please!!!!!!!!!!b
Answer:
20
Step-by-step explanation:
reasoning; you can see that all three of them form a 180 angle so you add 125+35 which is 160 then 180- 160 which is 20 that is the answer
hope it helps!
pls give brainliest
A collection of dimes and nickels is worth $6.70. There are 76 coins in all. How many dimes and how many nickels are there?
please help
Answer:
58 dimes and 18 nickels
Step-by-step explanation: