Answer:
147.50
Step-by-step explanation:
It is easy to set up the equation as a “butterfly”
x/133 = 110.9/100
cross multiply:
133(110.9)=100x
14749.7=100x ————-divide by 100 to get x alone
147.497 which would round to 147.50
Answer:
147.50
Step-by-step explanation:
BIG BRAIN AND MENTAL MATH
[4]
(b) Consider two spheres of radius R = 1 with a separation d
between their centres (see figure below). Use spherical
coordinates to compute the volume, V(d), of the intersection
as a function of d. Sketch the function V(d) and explain why
V(O) = n and V(2) = 0. (You can use the formula for the
volume of a cone without derivation.)
xy plane
Answer:
Follow Sammy Revv on Spotify and you'll get a 100% on your test
Step-by-step explanation:
According to some sources, the African continent has about 170 million Internet users. According to the bar graph, which statement is true?
Africa has fewer users than the Middle East.
Africa has more users than Asia.
Africa has more users than Europe but fewer than Asia.
Africa has more users than the Middle East but fewer users than North America.
Answer:
D) Africa has more users than the Middle East but fewer users than North America.
Step-by-step explanation:
Hope it helps :)
Danny flips four well-balanced coins. What are the odds that two of the coins will land ‘heads’ up?
Answer:
0.375 = 37.5% probability that two of the coins will land ‘heads’ up
Step-by-step explanation:
For each coin, there are only two possible outcomes. Either it lands heads, or it lands tails. The probability of a coin landing heads is independent of any other coin. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Four well-balanced coins.
This means that [tex]n = 4, p = 0.5[/tex]
What are the odds that two of the coins will land ‘heads’ up?
This is P(X = 2).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{4,2}.(0.5)^{2}.(0.5)^{2} = 0.375[/tex]
0.375 = 37.5% probability that two of the coins will land ‘heads’ up
Let g(x)=4x +9 and h(x)=x+2. Find the expression.
(h◦g)(x)
the winner of a raffle will receive a 21-foot outboard boat. if 2000 raffle tickets were sold and you purchased 50 tickets, what are the odds against your winning boat?
An automobile manufacturer has discovered that 20% of all the transmissions it installed in a particular style of truck are defective after a year of use. It has contacted customers and asked them to return to their dealer after a year to have their transmission checked. The Friendly Auto Mart sold seven of these trucks and has two of the new transmissions in stock. What is the probability that they will need to order at least one more new transmission
Answer:
0.148 = 14.8% probability that they will need to order at least one more new transmission
Step-by-step explanation:
For each transmission, there are only two possible outcomes. Either it is defective after a year of use, or it is not. The probability of a transmission being defective is independent of any other transmission. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
20% of all the transmissions it installed in a particular style of truck are defective after a year of use.
This means that [tex]p = 0.2[/tex]
Sold seven trucks:
This means that [tex]n = 7[/tex]
It has two of the new transmissions in stock. What is the probability that they will need to order at least one more new transmission?
This is the probability that at least 3 are defective, that is:
[tex]P(X \geq 3) = 1 - P(X < 3)[/tex]
In which
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{7,0}.(0.2)^{0}.(0.8)^{7} = 0.2097[/tex]
[tex]P(X = 1) = C_{7,1}.(0.2)^{1}.(0.8)^{6} = 0.3670[/tex]
[tex]P(X = 2) = C_{7,2}.(0.2)^{2}.(0.8)^{5} = 0.2753[/tex]
[tex]P(X < 3) = P(X = 0) + P(X = 1) + P(X = 2) = 0.2097 + 0.3670 + 0.2753 = 0.852[/tex]
[tex]P(X \geq 3) = 1 - P(X < 3) = 1 - 0.852 = 0.148[/tex]
0.148 = 14.8% probability that they will need to order at least one more new transmission
A factory produces blue pens and black pens. Each week, 2/3 of the pens produced at the factory are black.
Write and solve an equation that can be used to determine the number of blue pens (x) produced at the factory in a week when 45,000 pens are produced.
Answer:
15,000
Step-by-step explanation:
1/3 times 45,000 = 15,00
The number of blue pens produced at the factory in a week when 45,000 pens are produced is 15,000.
What is an Equation?An equation is the statement of two expressions located on two sides connected with an equal to sign. The two sides of an equation is usually called as left hand side and right hand side.
Given that,
A factory produces blue pens and black pens.
2/3 of the pens produced at the factory are black.
If T is the total pens produced at the factory, then the number of black pens produced is 2/3 T.
Number of blue pens = T - 2/3 T = 1/3 T
Given that,
Total pens produced = 45,000
Equation to find the number of blue pens is,
x = 1/3 × 45,000
Solving,
x = 15,000
Hence the number of blue pens produced is 15,000.
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WHATS THE LENGTH ROUND TO THE NEAREST 10th if NEEDED
Answer: 8.6
Step-by-step explanation:
Using pythagorean theorem, c²=a²+b² you can find the distance between AB.
c²=7²+5²
c²=74
√c²=√74
c=8.6
Amanda runs 7 miles in 80 minutes. At the same rate, how many miles would she run in 64 minutes?
Answer:
5.6 miles
Step-by-step explanation:
[tex]\frac{7}{80} =\frac{x}{64}[/tex] Set up the proportion
[tex]7(64)=x(80)[/tex] Cross multiply
[tex]448=80x[/tex] Simplify
[tex]\frac{448}{80}=\frac{80x}{80}[/tex] Divide both sides by 80
[tex]5.6=x[/tex]
help help please i did not understand
Answer:
The tree grows 3,14 centimeters per year
Answer: First you have to look at the years and see how much it increase each year. We start by seeing that in 1 year it is 3.14. In two years it will be 6.28. So, the answer each year the tree gets older it is 3.14 that you have to add. Hope it helps.
Step-by-step explanation:
A Store was trying to sell a bed set for $475. After a while, they marked the price tag down 35%. If tax is 5% (of the sale price), how much would the bed cost?
giving brainliest!! *easy*
Answer:
370 square millimeters
Step-by-step explanation:
2x9x5=90
2x10x5=100
2x10x9=180
90+100+180=370 square millimeters
Answer
450mm^3
Step-by-step explanation:
the picture has the workings
A=l×w×h
A=10mm×9mm×5mm
A=450mm^3
Carl went out for breakfast.
• The price of his meal was $12.35.
• The sales tax was 7.5% of the price of the meal.
• The tip was 25% of the price of the meal and the sales tax.
To the nearest cent, how much total money did Carl pay for breakfast including the price of his meal, sales tax, and tip?
Answer: $16.60
Step-by-step explanation:
Price + Tax = 12.35+0.93
Total + tip = 13.28+3.32
total: 16.60
The total money did Carl pay for breakfast including the price of his meal, sales tax, and tip $16.60
We have given that,
Carl went out for breakfast.
• The price of his meal was $12.35.
• The sales tax was 7.5% of the price of the meal.
• The tip was 25% of the price of the meal and the sales tax.
We have to determine the nearest cent, how much total money did Carl pay for breakfast including the price of his meal, sales tax, and tip.
What is the formula for the total money?Total money=price + tax
Price + Tax = 12.35+0.93
Total + tip = 13.28+3.32
Total money =16.60
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HELP 25 POINTS +BRAINIEST The weight of a substance measures 3 × 10^-3. grams. Express this weight in standard notation.
Answer:
Scientific notation is a way of writing very large and very small numbers.
A number in scientific notation has the form
N
×
10
a
, where
N
is a number between 1 and 10, and
a
is a positive or negative integer.
To convert to scientific notation, you move the decimal point until the new form is a number between 1 and 10 (
N
) and then record the exponent (
a
) as the number of places the decimal point was moved.
If you move the decimal to the right, the exponent is negative.
Express
0.000 000 03 g
in scientific notation.
Step 1. Move the decimal place to the right to create a new number between 1 and 10.
This gives
N
=
3
.
Step 2. Count the number of times you moved the decimal.
You moved the decimal 8 places to the right.
That means the exponent
a
=
-8
.
Step 3. Write the number in scientific notation.
0.000 000 03 g
=
3
×
10
-8
l
g
Step-by-step explanation:
1. How many total students were surveyed?
2. Which of the following statements is NOT correct?
A. The median is likely to fall in the 5 – 9 interval.
B. More students read between 0 – 9 books than 10 - 24 books
C. The mode is 24 books.
D. The range of books read could be 24.
Answer:
A if I'm not incorrect. Sorry if I am incorrect I'm bad at math.
Find the axis of symmetry of the parabola y=2x^2+4x-1
Answer:22
Step-by-step explanation:
Add
Multiply
Divide
Select all of the following that can be a counterexample for the statement below.
If x is an integer, then x + 2 >7
1- -2
2- 0
3- 3
4- 4
5- 6
6- 8
Answer:
-2. 0. 3. 4
Step-by-step explanation:
counterexample are the opposite so ur gonna chose the false ones the number has to be less than 7 so -2 0 3 4
4 x 5 - (2² - 2) =?
(18 ÷ 3) + (3² - 7) =?
Mr. Jones has $410,000 in a retirement account that earns 3.85% simple interest each year. Find the amount of interest earned by this investment if it is in there for 5 years. *
Answer:
Amount of interest earned = $78,925
Step-by-step explanation:
Given:
Amount deposit = $410,000
Rate of interest = 3.85% = 0.0385
Number of year = 5 year
Find:
Amount of interest earned
Computation:
Using simple interest formula
Amount of interest earned = Amount deposit x Rate of interest x Number of year
Amount of interest earned = 410,000 x 0.0385 x 5
Amount of interest earned = $78,925
name the angle in four ways. Then classify the angle as an acute, right, obtuse, or straight.
use a long method division to calculate 145 413 by 321
Answer:
i dont know because you have not really explained it
Step-by-step explanation:
The quotient of the division of 145413 by 321 is 453.
What is Division?Division is one of the operation in mathematics where number is divideD into equal parts as that of a definite number.
We are using long division method here.
For that dividend is 145413 and divisor is 321.
First take the first some digits of dividend which is greater than 321.
That is the first four digits, 1454.
The multiple of 321 closest to 1454 is 1284 which is equal to 4 × 321
So the first digit of quotient is 4.
1454 - 1284 = 170
Now 170 is less than 321.
Add the next digit of the dividend to 170.
It becomes 1701.
Multiple of 321 closest to 1701 is 1605 which is equal to 5 × 321.
The next digit of the quotient is 5.
1701 - 1605 = 96
Again since 96 less than 321, take the next digit of the dividend and the number becomes 963.
Now 963 is a multiple of 321, where 963 = 3 × 321
So the next digit of the quotient is 3.
Quotient = 453
Hence the quotient of the given division is 453.
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Identify the volume of a regular triangular pyramid with base edge length 14 ft and height 9 ft.
Answer:
The volume is 588 ft³
Step-by-step explanation:
[tex]v = a {}^{2} \frac{h}{3} = 14 {}^{2} \times \frac{9}{3} = 588[/tex]
Answer:
254.6 ft3 F
Step-by-step explanation:
To find the volume of the pyramid, first calculate the area of the base.
As the pyramid is the regular triangular pyramid, the base is an equilateral triangle.
To find the area of the equilateral triangle, calculate the length of the height.
Since the triangle is equilateral, each angle in the triangle equals 60°.
The height forms a 30°- 60°- 90° triangle. One leg of this triangle is equal to half of the side of the large triangle, or 7 ft. The other leg of the triangle is equal to 73‾√ ft by the 30°- 60°- 90° Triangle Theorem.
Therefore, the length of the height of the triangle is 73‾√ ft.
To find the area of the base of the pyramid, B, use the formula for the area of a triangle, B=12bh.
Substitute 14 for b and 73‾√ for h.
B=12⋅14⋅73‾√
Simplify.
B=493‾√ ft2
To find the volume of the pyramid, use the formula for the volume of a pyramid, V=13Bh.
Substitute 493‾√ for B and 9 for h.
V=13⋅493‾√⋅9
Simplify.
V=1473‾√
Use a calculator to approximate.
V≈254.6 ft3
Therefore, the volume of the regular triangular pyramid is about 254.6 ft3.
Find the area of the trapezoid with bases 12 cm and 4 cm and height 1/6
cm.
If AD is the perpendicular bisector of EB, find each measure.
Answer:
look at the picture
Step-by-step explanation:
I'm not sure about the value of x but I believe it is -23
The population of China was about 1.39 billion in the year 2013with an annual growth rate of about 0.6\% . Find an equation P(t) that represents the growth function for China. Write your answer in the form a * (b) ^ 2 in billions Provide your answer below:
Answer: 1.39(1.006)^t
Step-by-step explanation:
The equation P(t) that represents the growth function for China is P(t) = 1.39 * ( 1.006)ⁿ.
What is a Function ?A statement that relates two unknown parameters such that one is dependent on the other is called a function.
It is given that
Initial population = 1.39 billion in 2013
Growth Rate = 0.6%
Let a represent the initial population
b is the growth rate
and 2 be the elapsed year from 2013
and let the population at any given year is P(t)
Then the equation formed is
P(t) = a * bⁿ
P(t) = 1.39 * ( 1.006)ⁿ
Therefore the equation P(t) that represents the growth function for China is P(t) = 1.39 * ( 1.006)ⁿ.
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The test results for 4 students are: 96, 83, 78, and 83. If one more student's test score of 87 is added, what would increase?
A
median
B
mean
C
mode
D
range
Answer:
b
Step-by-step explanation:
there are 12 eggs of the same weight on the scale. the total weght is 620g determine the total weight if the number of eggs is increased to 20
Answer:
1033.2 g or 1.033 kg
Step-by-step explanation:
(620/12)(20) = 1033.2 g
HELP!!! Name the space figure you can form from the net.
(Middle school) I’ll give brainliest
Answer:
150.72 units^3
Step-by-step explanation:
Formula: πr2h
3.14 x 4^2 x 3 = 150.72 units^3
the distance between two points is 9 and point one is located at (-2, 2), what could be the possible coordinates of point two?
(2, 9)
(7, 2)
(11, 2)
(2, 11) HELP NOW
NO LINKS PPLS I WILL GIVE THE CROWN THING ITS WORTH 50 points