A book publisher counted the words on each page of a series of books. They found that the number of words per page followed a normal distribution with a mean of 265 words and a standard deviation of 25 words.
What percentage of the pages contain fewer than 215 words?
Answer:
The answer is 2.5%
Step-by-step explanation:
Took test on edmentum and made 100%.
2.2% percentage of the pages contain fewer than 215 words.
The normal distribution is defined as a probability distribution that is symmetric about the mean, indicating that data close to the mean are more systematic in occurrence than data distant from the mean. In pictorial form.
The number of words per page in the book is normally distributed, Normal distribution is given as,
[tex]z = \frac{x-\mu}{\sigma}[/tex]
Where, x = number of words per page., µ = mean, σ = standard deviation
From given, µ = 265 words , σ = 25 words
Probability for the number of pages in the book is less than 265 words,
P( x < 215)
For, x = 25,
z = (215-265)/25 = -2
From the normal distribution table, the probability of the z score is 0.022
The percent of pages in the book that are less than 215 words in length is 0.022 × 100 = 2.2%.
Thus, 2.2% percentage of the pages contain fewer than 215 words.
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At a bus station, buses depart at a rate of 4 every 10 minutes. At this rate, how many buses would depart in 1 hour?
Answer:
24 buses.
Step-by-step explanation:
10 minutes equals 4 buses.
There is a total of 60 minutes, so 60 ÷ 10 = 6.
Then 4 × 6 = 24 buses.
Find slop for each line
8x-4y=16
Answer:
y=2x-4
Step-by-step explanation:
slope=mx+b
8x-4y=16
-4y=-8x+16
-4y/-4=y
(-8x+16)/-4=2x-4
y=2x-4
Hope this helps! :)
What is the domain of f(x)=
10x1-(4)
?
Answer:
Domain:(−∞,∞),{x|x∈R}
Step-by-step explanation:
Stuck on my Trigonometry homework :(
Step-by-step explanation:
sin 23°/6cm = sin A/13cm
(sin 23°/6cm)×13cm= sin A
A= 60.35
I wish this will answer u, n im sorry if im wrong
Answer:
I think A= 60.35
Step-by-step explanation:
Hope this helped have an amazing day!
Q. Of the 100 students in 7th grade , 4 out of every 10 students said that pizza
was their favorite food. Based on this, how many students did NOT say pizza was their
favorite food?
Calculate simple interest : $125. 4 years, at 10% interest ..(how much is the interest alone?)
Here we have been clearly given with Principal, time period and rate of interest.
Principal (P) = $125Rate (R) = 10%Time (T) = 4 yearsWe have to calculate the simple Interest.
As we know that simple Interest is calculated by the formula :
[tex]\pink{\boxed{\sf{S.I. \: = \: \dfrac{P \times R \times T}{100}}}} \: \bigstar[/tex]Where,
S.I. is simple Interest R is rate of interest T is timePutting the values :
[tex]: \: \implies \: \sf{S.I. \: = \: \dfrac{125 \times 10 \times 4}{100}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{125 \times \cancel{10} \times 4}{ \cancel{100}}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{125 \times 1 \times 4}{10}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{125 \times 4}{10}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{ \cancel{125} \times 4}{ \cancel{10}}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{{25} \times 4}{ 2}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{{25} \times \cancel{4}}{ \cancel2}} \\ \\ : \: \implies \: \sf{S.I. \: = \: \dfrac{{25} \times 2}{1}} \\ \\ : \: \implies \: \sf{S.I. \: = \: 25 \times 2} \\ \\ : \: \implies \: \red{\bf{S.I. \: = \: 50}} [/tex]
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https://brainly.com/question/26734922Name the following note!!
Answer:
Maybe this will help btw not math
Step-by-step explanation:
what is the sum of
Answer:
C
Step-by-step explanation:
somebody help me answer these ik I'm not the smartest
Answer:
1. 3/5
2. 70/9
3. 12 3/5
Step-by-step explanation:
hope it helps
Answer:
reduce 18/30
divide both numerator and denominator by 6
3/5
change to improper 7 7/9
multiply 7*9=63
63+7=70
70/9
Change to mixed number 63/5
63/5=12 remainder 3
12 3/5
Solve algebraically for x:
3600 + 1.02x < 2000 + 1.04x
Answer:
Let's solve your inequality step-by-step.
3600+1.02x<2000+1.04x
Step 1: Simplify both sides of the inequality.
1.02x+3600<1.04x+2000
Step 2: Subtract 1.04x from both sides.
1.02x+3600−1.04x<1.04x+2000−1.04x
−0.02x+3600<2000
Step 3: Subtract 3600 from both sides.
−0.02x+3600−3600<2000−3600
−0.02x<−1600
Step 4: Divide both sides by -0.02.
−0.02x
−0.02
<
−1600
−0.02
x>80000
Step-by-step explanation:
plz help me ........
Answer a is it
Step-by-step explanation
4.A trapezoid with a perimeter of 30 units is
graphed on a coordinate grid. The trapezoid is
dilated by a scale factor of 0.3 with the origin as the
center of dilation. If (x,y) represents the location of
any point on the original trapezoid, which ordered
pair represents the coordinates of the corresponding
point on the resulting trapezoid?
A. (30x, 30y)
B. (X - 0.3, y +0.3)
C. (0.3x, 0.3y)
D. (x + 0.3, y +0.3)
Answer:
It would be (x0.3,y0.3). C is the answer
Step-by-step explanation:
Because if you actually read it, it already gave you the answer which is the scale factor of 0.3
so that would lead to (x0.3,y0.3)
A Census Bureau report on the income of Americans says that with 90% confidence the mean income of all US households in a recent year was $57,005 with a margin of error of $742. This means that
Answer: d. the census bureau got the result 57,005 plus or minus 742 using a method that will capture the true median income 90% of the time when used repeatedly.
Step-by-step explanation:
No t-value has been included in this interval so it cannot be correctly labeled a confidence interval.
This invalidates options a to c.
Option d is therefore the correct answer because it states that the census bureau simply got those results above without claiming that the results constituted a confidence interval.
(Sigma)20 4(8/9)^n-1=?
1
Convert to a simplified fraction.
20 amgiS ⋅ 9n / 2^2+3n − 9^n
Move 20 to the left of Sigma.
20 Sigma
solve the equation for x. What was the cost of each raffle ticket?
Answer:
im confused?
Step-by-step explanation:
solve the equation for x. What was the cost of each raffle ticket?
What is the equation of the line that passes through the point (4, 3) and has a slope
of 1?
Answer:
y=x-1
Step-by-step explanation:
Answer:
y=x1
Step-by-step explanation:
A man drove his car a distance of 260 miles in 4 hours. If continuing at this rate is possible, he will travel ____ miles in 8 hours. Someone pls help im sooo behind in maths and im really confused
Answer:
...520 miles
Step-by-step explanation:
if he keeps the same pace then you can just put two and two together 260 + 260 = 520 (seems too easy so sorry if im wrong)
In this soccer season Emma has scored one more than twice the number of Nikki's goals if Emma has scored 15 goals which equation can be used to find X number of goals
Answer:
[tex]X = 22[/tex]
Step-by-step explanation:
Given
Represent Emma with E and Nikki with N
From the question, we have that:
[tex]E = 1 + 2N[/tex]
and
[tex]E = 15[/tex]
Required
Determine the X number of goals
Substitute 15 for E in [tex]E = 1 + 2N[/tex]
[tex]15 = 1 + 2N[/tex]
Subtract 1 from both sides
[tex]15 -1 = 1 - 1 + 2N[/tex]
[tex]14 = 2N[/tex]
Divide both sides by 2
[tex]\frac{14}{2} = \frac{2N}{2}[/tex]
[tex]\frac{14}{2} = N[/tex]
[tex]7 = N[/tex]
[tex]N=7[/tex]
This implies that Nikki scored 7 goals in total
The X number of goals is then calculated as:
[tex]X = N + E[/tex]
[tex]X = 7 + 15[/tex]
[tex]X = 22[/tex]
Find two numbers with sum 82 and difference 30.
Answer: I think it would be 112.
Step-by-step explanation:
Determine the amount of the semi-annual coupon for a bond with a face value of ₱ 300,000 that pays 10%, payable semi-annually for its coupons.
Answer:
Copuon= $15,000
Step-by-step explanation:
Giving the following information:
Face value= $300,000
Coupon rate= 10%
First, we need to determine the semiannual coupon rate:
Semiannual coupon rate= 0.1/2= 0.05
Now, the coupon using the following formula:
Copuon= face value*coupon rate
Copuon= 300,000*0.05
Copuon= $15,000
Can you help me please?
Answer:
Exponent - Division - Multiplication - Addition - Subtraction
moving company rents moving trucks for $20 plus $0.19 per mile. Suppose a customer’s total bill for renting a truck comes to $34.06. How many miles did the customer drive? Write an equation and explain how you used it to find your answer.
Answer:
34.06=20+0.19m
Step-by-step explanation:
The 20 dollars is a one-time thing so we don't need a variable for that. The 0.19 per mile does because the cost will depend on how many miles you drove (I used the variable 'm' but you could use a different letter). Altogether the bill costs 34.06 so that will go on the opposite side of our equal side.
34.06=20+0.19m
First we need to isolate 0.19m to find the number of miles the customer drove, and we can do that by subtracting 20 on each side.
34.06-20=20-20+0.19m
14.06=0.19m
Now we divide 0.19 because 0.19 is multiplied to m and division is the opposite operation
m=74
This means that the customer drove 74 miles.
Warren was drawing a shape on the grid below. He started at (2,0) and drew a line to (2,5), then to (4,3), then to (6,5) and finally a line to (6,0). What was made after all the points were connected?
Answer:
concave pentagon
Step-by-step explanation:
Answer:
c edge 2021
Step-by-step explanation:
please helppp
(literally posting my entire math lesson)
Answer:
B
Step-by-step explanation:
Point B is located 6.5 tenths left of -8.
Answer:
Point B
Step-by-step explanation:
If you count 5 steps backward from -8, you land in the direct middle of -9 and -8. You can also count 5 steps forward from -9, but it doesn't change that the number represented is -8.5. Now focus on the distance from -8.5 to -9 (because between that distance are the points that we might be using). You repeat the same process used above, so if you half the distance between -8.5 and -9 then you'll get -8.75. As we can see, Point A is the closest to -8.75 compared to Point B. It wouldn't make sense to choose Point B because as we mentioned before, Point A is now most certainly not -8.65. Point B represents that number the best.
≧◡≦
Mocha here! If this answer helped you, please consider giving it brainliest because I would appreciate it greatly. Have a wonderful day!
Dylan has a bank that sorts coins as they are dropped into it. A panel on the front displays the total number of coins inside as well as the total value of these coins. The panel shows 90 coins with a value of $17.55 inside of the bank. Dylan only collects dimes and quarters. Determine how many quarters and how many dimes Dylan has.
Answer: There are 57 quarters and 33 dimes.
Step-by-step explanation:
let x = Number of quarters
y= Number of dimes
As per given , we have
x+y = 90 (i)
0.25x+0.10y= 17.55 (ii)
Multiply 10 on both sides of (ii)
2.5x+y= 175.5 (iii)
Eliminate (i) from (iii) , we get
1.5x = 85.5
⇒ x= 57
Put value of x in (i) , we get
57+y=90
⇒ y= 90-57
⇒ y= 33
Hence, there are 57 quarters and 33 dimes.
match each fraction with the equivalent expressions plz help
-2 divided by 10
10 divided by -2
1 divided by 5
5 divided by 1 so which on matches each one
5/1
-2/10
10/-2
1/5
-2 divided by 10
-2/10
10 divided by -2
10/-2
1 divided by 5
1/5
5 divided by 1
5/1
convert y+1= 6/11(x+11) to slope-intercept
Answer:
need more info
Step-by-step explanation:
plz comment so i know
Answer:
y = 6/11x + 5
Step-by-step explanation:
y + 1 = 6/11 (x + 11)
distribute 6/11
y + 1 = 6/11x + 6
- 1 - 1
y = 6/11x + 5
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Write an equivalent expression to (-0.25x - 3) - (2.5x + 1.7) using the fewest possible terms.
Answer: -2.75*x - 4.7
Step-by-step explanation:
In the equation we have only one variable, this means that the minimum possible number of terms will be two, one term with x, and one term without x.
We can start with the equation:
(-0.25x - 3) - (2.5x + 1.7)
Now, let's rewrite this as:
-0.25x - 3 - 2.5x - 1.7
(-0.25*x - 2.5*x) + (-3 - 1.7)
Solving the parentheses we get:
-2.75*x - 4.7
That is the equivalent expression that has the fewest possible terms
Determine if each ratios or rates are equivalent.
$12 for 3 paperback books, $28 for 7 paperback books.
Answer:
no these are not equivalent
Step-by-step explanation:
these aunt equivalent because 12+12 =24 and 3+3=6 not 7 or 28 so no ccx these are not equivalent