Answer:
The answer is "Thus a chosen random book has a 15.87% chance of fewer than 170 pages".
Step-by-step explanation:
[tex]Mean = 190\\\\\text{Standard devaition} \ \sigma= 20\\\\\to P(\bar{x}<70)\\\\Z = \frac{(170-190)}{20}[/tex]
[tex]= \frac{-20}{20} \\\\=-1[/tex]
It found a p-value from its empirical rule:
[tex]\to P(\bar{x}<170) = 0.1587[/tex]
What is the sum of two consecutive numbers is 141
The two consecutive integers such that their sum is 141 will be 70 and 71.
What is a number system?The number system is a way to represent or express numbers.
Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
Let's say that two consecutive integers are x and x + 1.
x + x + 1 = 141
2x + 1 = 141
2x = 140
x = 70
So, x + 1 = 71
Thus, it will be 70 and 71.
Hence "The two consecutive integers such that their sum is 141 will be 70 and 71".
For more about the number system,
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20 POINTS
NEED HELP ASAP
If f(x) = 3x-2 and g(x) = 2x+1, find (f+g)(x)
A. x-3
B. x-1
C. 5x-1
D. 5x-3
1. An integer is 3 less than 5 times another. If the product of the two integers is 36, then find the integers.
Answer:
3 and 12
Step-by-step explanation:
3*5=15 and 15-3=12. The product of 3 and 12 is 36.
The integers are 3 and 12.
What is Algebra?Algebra is a branch of mathematics dealing with symbols and the rules for manipulating those symbols.
let the one integer be x.
Another integer = 5x - 3
According to question,
x *(5x-3 ) =36
5x ² -3 x =36
5x² -3 x - 36 = 0
5x² -15 x +12 x - 36 =0
5x( x-3) + 12 ( x -3) =0
(5x +12)( x- 3)=0
x= -12/5 or 3
So, the integers are 3 and 12.
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Four siblings have a dog walking business. The table shows the hours worked by sibling. sibling earns $25.50 per hour and the total number of hours worked is represented by 10h + 15, where h represents the number of hours Michael worked. Sibiling Hours Worked Martin 2. 5h +3 Emillo 4(h – 2) Michael Mario 31 What was the total amount the siblings earned?
Answer:
I couldn't find out how many hours Michael worked but the total amount is $1504.50
Step-by-step explanation:
write 6.085 in word form
in 2011 there were 3223 sea otters in Monterey Bay California the bay is approximately 77 mi.² to the nearest whole number what was the density of the sea otter population
Answer:
42 sea otters per mi2
Step-by-step explanation:
PLEASEE HELPP WILL BRAINLIST find the output when x = 0
Answer:
output: 8
Step-by-step explanation:
since x=0 y would equal 8 which is the output.
Which of the following shows (2x + y) 4 (4 is small) In expanded notation?
Answer:
8x+4y
Step-by-step explanation:
so use the distributive property and multiply 4 into (2x+y), so you get
(2x*4) + (y*4) = 8x + 4y
hope this helped
Suppose you are going to graph the data in the table below. What data should be represented on each axis, and what would be the
appropriate increments?
Reporting periods Sales
d out of 2
Flag
an
Jan-Mar., 2010
$100,000
Apr.-Jun., 2010
$55,000
Jul.-Sep., 2010
$45,000
Oct-Dec., 2010
$110,000
Jan. --Mar., 2011
$330,000
Apr.-Jun., 2011
$800,000
Jul.-Sep., 2011
$242,000
Oct-Dec., 2011
$150,000
Answer:
the months would be the x axis and the numbers would be the y axis and the increments could start at 45k and have to go up to 800k don't forget the years with the months
Express the following to percentage into fractions.
Answer:
65.2/100
Step-by-step explanation:
1/5 = 0,2
then:
65 1/5 = 65 + 0.2 = 65.2
65.2/100
Step-by-step explanation:
[tex]65 \div 1 \frac{5 \times 100 = 32500}{?} [/tex]
it comes to 325
Mr. Lyons is laying tile for the rectangular floor of a hotel lobby.
The floor will be 38 tiles wide and 112 tiles long. He has a total of 4,400 tiles.
Which explains whether or not he has enough tiles for the entire floor?
Answer:
yes
Step-by-step explanation:
you find the area by multiplying 38 X 112= 4,256
4,400 - 4,256= 144 left over
FInd the circumference of a circle with a diameter of 6 yd. Use the value 3.14 for x and do not round your answers
Answer:
C ≈ 18.85yd
Step-by-step explanation:
Evaluate this expression.
112.212 - (- 3.25)
Answer:
115.462
Step-by-step explanation:
Answer: 115.462
Step-by-step explanation:
To start, the first thing we can observe is two negative signs, which we know turns into a positive sign.
Therefore, we now have:
112.212 + 3.25
115.462
Hope this helps!
Justin wants to buy a new pair of Jean's. If the jeans were originally $50.00, but are on sale with a 30% discount, how much will just have to pay for the jeans?
Answer:oyoyoyohkyhiibjgi
Step-by-step explanation:
ykhitrjhithihtrnht
X^2 + 10x = 0
How do I solve for a completed square ?
Answer:
12x=0
Step-by-step explanation:
x=0 because it is
Answer:
x = 0 x = -10
Step-by-step explanation:
First, use the AC method to figure out, what times what equals 0 and what adds up to equal 10, which would be 0 and 10.
Secondly, you would factor it out and be with
(x + 0)(x +10)=0
Third, you would set each one equal to 0
x + 10 = 0 x + 0 = 0
Solve from there to get your two x's
x = 0 and x = -10
In Ms. Henrick's class, there are 10 boys and 12 girls. What is the ratio of boys to girls? Express your answer as a fraction in simplest form.
Answer:
5:6
Step-by-step explanation:
the ratio before would be 10/12 so you would have to divide both sides by 2 so you would get 5/6.Hope this helped
x-4y= -36 in slope form
Mrs. Garcia deposited $2500 into a new bank account. The bank pays 1.5% interest compounded annually on this account. She makes no additional deposits or withdrawals. How much is in her account at the end of 2 years?
Step-by-step explanation pls! :)
Answer:
$2575.5625
Step-by-step explanation:
2500*(1.015)^2
=$2575.5625
PLS GIVE BRAINLIEST
1st Year 2500*1.015=2537.5
2nd Year 2537.5*1.015=2575.5625
There are 49 dogs signed up to compete in the dog show. There are 36 more small dogs than large dogs signed up to compete. How many small dogs are signed up to compete?
Answer:
Small=36
Large=13
Step-by-step explanation:
As given there are 49 dogs signed up
36 are small so the equation is
36+x=49
x=49-36
x=13
So 13 large dogs and 36 small dogs
Solve using standard algorithm 12.2 * 4.
Answer and Step-by-step explanation:
12.2
* 4
____
48.8
4 times 2 is 8.
4 times 2 is 8.
4 times 1 is 4.
Remember to place the decimal.
#teamtrees #WAP (Water And Plant)
Answer:
48.8
Step-by-step explanation:
7x – X – 1=4-7x + 21
Answer:
X=2
Step-by-step explanation:
14.) Mr. Lovell was playing cards with his son. In the first round he earned 52
points. In the second round he lost 20 points. How would you write this as
an addition problem?
Answer:
That would be;
+52-20
Step-by-step explanation:
From the first part, he gained/earned 52 points
This is a positive so we have + 52
In the second round , he lost 20
This is a negative so we have - 20
Writing this as an addition problem, it will be;
+52-20
18% of the cars in the parking lot are blue.If there are 150 cars in the parking lot,how many cars are blue
Answer:
Step-by-step explanation:
14
What is 7.504-2.3792 rounded to the hundred
Answer:
0
Step-by-step explanation:
First what we have to do is subtract 7.504 and 2.3792 7.504 - 2.3792 = 5.1248then what we do isfind the number in the number in the hundreds place 0 and look one place to the to the right for the rounding digit 0. Round up if this number is greater than or equal to 5 and round down if less than five.Since zero is less than five we would round down
so our answer is zero
Hope this helps
Hope u get it right
Hurry i need help!!!!!
Answer:
Sorry i would help but the paper is unclear
Step-by-step explanation:
What is the value of x in the equation 2(6x+4)-6+2x = 3(4x+3)+1? 0 1 & 03 O 4 06
Answer: its 4
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable. im prob to late but i need points
The value of x in the equation is 4.
What is an algebraic expression?An Algebraic expression shows the expression of variables with numbers. The purpose of an algebraic expression is to determine the unknown variable represented by an unknown letter.
From the given information:
2(6x + 4) - 6 + 2x = 3(4x + 3) + 1
Open brackets
12x + 8 - 6 + 2x = 12x + 9 + 1
Collect like terms
12x + 2x - 12x = -8 + 6+9 + 1
14x - 12x = -8 + 16
2x = 8
x = 8/2
x = 4
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PLEASE HALP IM TIMES
Answer:
1,3,4
Step-by-step explanation:
PEOPLE SHOW ANSWERS PLEASE AND WILL GIVE BRAINLIEST 8. The ratio of cats to dogs at a pet show
is 1:3.
a) What percent of the pets at the
show are cats?
Answer:
33.33%
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
so we add 1 and 3 together becuase since there are equal parts, we need to add to get the whole. so since the ration is 1:3, there are 1/4x cats thereate the show
Please help I’ll mark brainliest if u give a small explanation!!!
Answer:
ut is a if you add 5 plus 4 it makes 9 do not add the 8
An investor flips a house, selling it for $88,000. If her profit was 30%, how much did she pay for the house originally? Round to two decimal places.
Answer:
She paid $67692.31 for the house originally.
Step-by-step explanation:
Let the initial cost of the house be [tex]x[/tex] dollars.
Given:
Selling price of the house (S.P) = $88000
Profit made = 30% of 'x' = [tex]0.30x[/tex]
We know that,
Profit = Selling Price - Original price
[tex]0.30x = 88000 - x[/tex]
Adding [tex]x[/tex] on both sides, we get:
[tex]0.30x+x = 88000\\\\1.3x=88000[/tex]
Dividing both sides by 1.3, we get:
[tex]x = 88000/1.3\\\\x = \$ 67692.307[/tex]
Rounding to 2 decimal places, we get:
[tex]x=\$67692.31[/tex]
Therefore, she paid $67692.31 for the house originally.