Answer:
8640 waysStep-by-step explanation:
Arranging the books of each subject:
Math:
Combination of 2 books → 2! = 2Physics:
Combination of 3 books → 3! = 6Chemistry:
Combination of 5 books → 5! = 120We also need to consider the subjects.
There are 3 subjects, kept separately, they will be arranged in 3! = 6 ways
So the total number of combinations is:
2*6*120*6 = 8640Answer:
2 maths books can be arranged as (2!=2) ways 3 physics books can be arranged as (3!=6) ways5 chemistry books can be arranged as (5!=120) waysBooks can be arranged in suject-wise in (3!=6) waysHence, total ways are (2×6×120×6) ways =8640 ways.
8640 is the right answer.In a group of 120 people. each person has a dog, a cat, or a bird. The frequency table shows how many people have each kind of pet. complete a relative frequency table to show the distribution of the data with respect to all 120 people.
Answer:
25% 19.2% 45.0%
18.3% 16.7% 34.0%
11.7% 8.3% 20.7%
55.8% 44.2% 100%
Step-by-step explanation:
What are the roots of the polynomial equation?
x^2-x-72=0
Answer:
X1=72
X2=x+72
Step-by-step explanation:
Given the graph below, what is the average rate of change between 1 year and 4 years
of age?
Answer : The average rate of change between 1 year and 4 years of age is 7.33 lbs per year.
Step-by-step explanation :
As we know that the average rate of change between two input values is the total change of the output values divided by the change in the input values.
From the table, we conclude that:
The weight of 1 year of age = 20 lbs
The weight of 4 years of age = 42 lbs
Now we have to determine the average rate of change between 1 year and 4 years of age.
The input (years) has changed by = 4 years - 1 year = 3 years
The output has changed by = 42 lbs - 20 lbs = 22 lbs
Average rate of change = Output ÷ Input
Average rate of change = [tex]\frac{22\text{ lbs}}{3\text{ years}}[/tex]
Average rate of change = 7.33 lbs per year
Therefore, the average rate of change between 1 year and 4 years of age is 7.33 lbs per year.
Factor the polynomial completely. Use synthetic division.
F(x) = x^3-7x-6
Answer:
The factors of given polynomial x =-1 , -2 and x =3
Step-by-step explanation:
Step(i):-
Given the polynomial
f(x) = x³ - 7x -6
put x =-1
f(-1) = (-1 )³- 7(-1) - 6 = -1+7-6=0
(x+1) is a one factor
By using synthetic division
x³ x² x constant
x=-1 ↓ 1 0 -7 -6
↓ 0 -1 1 6
1 -1 -6 0
The polynomial x² - x - 6
Step(ii):-
The factors ( x+1)(x² - x - 6 ) = 0
x = -1 and x² - x - 6 =0
x =-1 and x² - 3x + 2 x - 6 =0
x =-1 and x (x -3) + 2( x-3) =0
x =-1 and (x+2)(x-3) =0
Final answer:-
The factors of given polynomial x =-1 , -2 and x =3
Marc practiced guitar 25 minutes each day in July.In august,he practiced 60 mins per day.Which is the percent increase in Marc’s practice time from July to August
The percent increase from July to August is 140%.
Answer:
the answer is 140%.....
Which phrase describes the algebraic expression 3 x minus 4? I Need ANSWERS QUICK
Answer: 3 * -4 = -12
Answer:
four less than three times a number
Step-by-step explanation:
The ratio of trumpet players to trombone players in the band is 5:3. What does this mean?
Answer:
for every 3 trombone players in the band there will be 5 trumpet players in the band
Step-by-step explanation:
example 6 trombone = 10 trumpet
How many solutions does the system of equations have?
x - 4y = 12 and 58 - 201 = 60
one
tuo
infinitely many
none
Answer:
infinitelyyyy, so the third one :)
A baker has 2 2/3 cups of flour for her recipe, but she only has a 1/3 cup scoop. How many scoops will she need for the recipe?
solve this one problem 1X13 and only this problem the problem that says 1x13 no other problem.
11111111111111111111111111111111111111111+23333333333333333+000000000000999999999999999999999999999999=
Answer:
13
Step-by-step explanation:
because...math
3.7(-4x - 3)
(1 Point)
28x - 21
-28x - 21
-4x + 21
Answer:
-28x - 21
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyStep-by-step explanation:
Step 1: Define
7(-4x - 3)
Step 2: Simplify
Distribute 3.7: 7(-4x) + 7(-3)Multiply: -28x - 21You have $9.30 plus 6 percent of tax what is the total costs
Answer:
$ 9.86
Step-by-step explanation:
Tax = 6% of 9.30
= 0.06 * 9.30
= $ 0.558
Total costs = 9.30 + 0.558
= 9.858
= $ 9.86
alex saved $16 this month. if he decides to donate 3/4 of his savings to charity. hiw much money will alex be donating?
Find the exact length of the third side.
41
9
what’s the other side
Step-by-step explanation:
[tex] {d}^{2} = {a}^{2} + {b}^{2} \\ 41 = 9 + {b}^{2} \\ {b}^{2} = 41 - 9 \\ {b}^{2} = 32 \\ b = \sqrt{32} \\ b = 5.66 \:[/tex]
what is 2+2*500 divided by 0.54
Step-by-step explanation:
2+2÷500=2.004
2.004÷0.54=3.71111111111
2+2×500=1002
1002÷0.54=1855.55555556
i don't know if * was ÷ or × so I just give you both answers
For the functions f(x) = 7x + 4 , h(x) =10/x− 3 and g(x) = 3x − 2
Evaluate
g(4)
h{g(4)}
f-1 (11)
Answer:
g(4) = 10
f⁻¹(11) = 1
h{g(4)} =
if h(x) = (10/x) – 3 = 7
if h(x) = 10/(x – 3) = 10/7
____________
f⁻¹(x) = (x - 4) / 7
What is the value of x in the triangle?
45°
7
X
45°
A. 7
B. 14
C. 7root 2
D 7 root 2 / 2
Answer:
There are a few (a very few) angles that have relatively "neat" trigonometric values, involving, at worst, one square root. Because of their relatively simple values, these are the angles which will typically be used in math problems (in calculus, especially), and you will be expected to have these angles' values memorized.
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Im smart..
Can someone please help me ill give you a crown PLEASE HELP
HURRY I GOT 30 MINS
A company that manufactures golf balls produces a new type of ball that is supposed to travel significantly farther than the company’s previous golf ball. To determine this, 40 new-style golf balls and 40 original-style golf balls are randomly selected from the company’s production line on a specific day. The balls are then placed in a bag and shaken. A golf pro then selects a ball and hits it. The distance the ball travels is then measured. The bag is shaken again, and the golf pro selects another ball to hit. She continues this procedure until all 80 of the golf balls are hit.
Has the principle of comparison been addressed in this experimental design?
A Yes, because the balls are randomly selected, the distances of the new ball can be compared to the distances of the original ball.
B Yes, because the original ball type is included in this experiment, the distances the different balls travel can be accurately compared.
C No, because a placebo ball was not used, a comparison cannot be made to determine if the new ball travels significantly farther.
D No, because all of the new type of balls are not hit first, the distances they travel cannot be compared to the distances of the original ball.
Answer:
B
Step-by-step explanation:
Edge
What is the area of this figure?
Enter your answer in the box
Bin
in
What do you do if the divisor (the number you're dividing
by) is greater than the dividend (the number that is
being divided)?
Answer:
you can use decimals
Step-by-step explanation:
A new process for producing a type of novolac resin is supposed to have a mean cyclic time of 3.5 hours per batch. Six batches are produced, and their cyclic times, in hours, were 3.45 3.47 3.57 3.52 3.40 3.63 Can you conclude that the mean cyclic time is greater than 3.5 hours
The requried, we cannot conclude that the mean cyclic time is greater than 3.5 hours for the new process of producing a type of novolac resin based on the given data.
To determine if we can conclude that the mean cyclic time is greater than 3.5 hours for the new process of producing a type of novolac resin, we need to perform a hypothesis test.
We can use a one-sample t-test to test the null hypothesis that the mean cyclic time is equal to 3.5 hours against the alternative hypothesis that the mean cyclic time is greater than 3.5 hours.
Using the given data, we can calculate the sample mean and sample standard deviation of the cyclic times for the six batches produced. The sample mean is:
x = (3.45 + 3.47 + 3.57 + 3.52 + 3.40 + 3.63) / 6
= 3.50 hours
The sample standard deviation is:
[tex]s = \sqrt ((3.45 - 3.50)^2 + (3.47 - 3.50)^2 + (3.57 - 3.50)^2 + (3.52 - 3.50)^2 + (3.40 - 3.50)^2 + (3.63 - 3.50)^2) / (6 - 1)) }[/tex]
= 0.086 hours
The test statistic for the one-sample t-test is:
[tex]t = ( \bar x-\mu) / (s / \sqrt(n))[/tex]
where μ is the hypothesized mean cyclic time, n is the sample size, and s is the sample standard deviation.
Substituting the given values, we get:
[tex]t = (3.50 - 3.5) / (0.086 / \sqrt(6))[/tex]
= 0
The degree of freedom for the t-test is n - 1 = 5.
Using a t-table or a calculator, we can find the critical value of t for a one-tailed test with α = 0.05 and 5 degrees of freedom to be 1.833.
Since the calculated t-value of 0 is less than the critical value of 1.833, we fail to reject the null hypothesis. Therefore, we cannot conclude that the mean cyclic time is greater than 3.5 hours based on the given data.
Therefore, we cannot conclude that the mean cyclic time is greater than 3.5 hours for the new process of producing a type of novolac resin based on the given data.
Learn more about the hypothesis here:
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Fred Friedman writes a $45 check for groceries, but his account has only $20 in it. If an account becomes overdrawn, (not enough money to pay for the transaction), his bank charges a $20 overdraft fee. The grocer has not cashed Fred's check yet. How much is in Fred's account at the end of the day? $20 $40 O $45 $65
Answer:
$45
Step-by-step explanation:
This is because the money from Fred's account hasn't been withdrawn yet.
Answer: I have to go with 65
Step-by-step explanation: I think Since he wrote the 45 dollar check I just added 45 to 20 and got 65, because the amount he have in his bank account plus the one check he wrote
is 11/15 equivalent or greater to 11/16
Answer:
11/15 is greater
Step-by-step explanation:
Answer:
11/15 is Greater
Step-by-step explanation:
11/15 = 0.7333
11/16 = 0.6875
Choose the correct description of the pattern below. Then find the next 3 number
4 6 9 13.5
Each number is 1.5 times the previous number
Each number is 2/3 of the next number
Each number is 3/2 of the previous number
Written as decimals the next 3 numbers are
PlS HELP!
Which sign makes the statement true?
3
65.7%
4.
<
=
Answer:
The middle one
Step-by-step explanation:
3/4=75%
18. Jeff traveled at an average speed of 65 miles per hour for 2.5 hours and then traveled at an average speed of 70 miles per hour for 1.5 hours. What was the total distance in miles that Jeff traveled during this time?
A 272.5
B 267.5
C 270
D 337
Answer:
B) 267.5
Step-by-step explanation:
162.5+105=267.5
What is the slope of the line y = 7x + 3
-?
1
7
А
B
7
3
8
8
3
Answer:
7 :)
Step-by-step explanation:
Order the numbers from least to greatest. Put the lowest number on the left. 11/12 , 9/8 , 1/3 ,
Answer:
1/3,11/12,9/8
Step-by-step explanation:
Hi! Let's start off with creating common denominators for all three of these fractions.
The LCM (least common multiple) of these three denominators is 24, which means that the three numbers you see at the bottom of the fraction (12, 8, and 3) all in some way have a number that will cause it to multiply to 24, and will make it much more easier to determine the fraction.
1) Change all of the denominators into 24 by multiplying the right number
11/12×2/2=>22/24
9/8×3/3=>27/24
1/3×8/8=>8/24
So now I want you to imagine that the denominators don't exist. From there, you can sort out the fractions from least to greatest! Hope you understood this :)
A 15-foot statue casts a 20-foot shadow. How tall is a person who casts a 4-foot-long shadow? Question 1 options: A) 3 feet B) 3.75 feet C) 0.33 feet D) 5 feet
The correct answer is A) 3 feet.
A 15-foot statue casts the shadow of 20 food, then a 4-foot-long shadow will be cast by a 3-foot-tall person.
What are arithmetical operations?The four fundamental operations of arithmetic are addition, subtract, multiply, and division of two or more numbers. Included in them is the study of integers, especially the order of operations, which is important for all other aspects of mathematics, notably algebra, information management, and geometry.
From the data in the question,
15-foot statue = 20-foot shadow
x-foot man's height = 4-foot long shadow
20x = 60
x = 60/20
x = 3 foot.
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