Answer:
7 books in each set.
Step-by-step explanation:
If you add the nine books that she donated (9) to the number of books that are left over (26) you would have 35. And since their are 5 sets you would divide 35 by 5 and get 7.
Consider the box plot.
A+++ ++ +
+
1 2 3 4 5 6 7 8 9 10
Which could be the data set for this box plot?
O {1, 2, 3, 7, 9, 10}
o {1, 2, 4, 5, 8, 10}
o {1, 3, 4, 6, 8, 10}
• {1, 3, 6, 6, 9, 10
Answer:
D
Step-by-step explanation:
The box plot explains the right numbers in order
The correct option is (d) {1,3,6,6,9,10}
According to the box plot,
the median must be 6.the lower quartile must be 3.the upper quartile must be 9.the smallest value must be 1.and the largest value must be 10.Now looking at the data sets we can see that there are 6 values in each data set. So to satisfy all the conditions above regarding the given box plot, the correct option must be {1,3,6,6,9,10}.
Learn more about box plots:
https://brainly.com/question/14750698
Which is greater, 0.28 or 0.205? Explain how you know.
Answer:
Step-by-step explanation:
0.28 is roughly the same as 0.280, which has 3 significant digits (same as 0.205 has 3 significant digits). It's easier when we compare numbers having the same number of decimal places.
Comparing 0.280 to 0.205, we see that the hundredths place of 0.280 (which is 8) is greater than the hundredths place of 0.205 (which is 0). Thus 0.28 is greateer than 0.205.
What are the coordinates of point A?
(8, –6)
(–6, 8)
(–5, 7)
(7, –5) marking brainiest
Answer:
Can you add an image of the points on a graph so I can help?
-6+(-1)=
..................
Answer:
It's -7
Step-by-step explanation:
Answer:
-7
Step-by-step explanation:
How many ways are there to place 3 indistinguishable red chips, 3 indistinguishable blue chips, and 3 indistinguishable green chips in the squares of a 3 x 3 grid so that no two chips of the same color are directly adjacent to each other, either vertically or horizontally?
A. 12,
B. 18,
C. 24,
D. 30 ,
E. 36
Answer:
E. 36
Step-by-step explanation:
Let:
[tex]C_1 =[/tex] color 1
[tex]C_2 =[/tex] color 2
[tex]C_3 =[/tex] color 3
Case I
C₂ C₃ C₂
C₃ C₁ C₃
C₁ C₂ C₁
Since C₁ has 3 choices, then C₂ has 2 choices and C₁ has 1 choice
number of combinations = 3 × 2 × 1 = 6
Case II
C₂ C₃ C₁
C₃ C₁ C₂
C₂ C₃ C₁
Since C₁ has 3 choices, then C₂ has 2 choices and C₁ has 1 choice
number of combinations = 3 × 2 × 1 = 6
Case III
C₁ C₃ C₂
C₂ C₁ C₃
C₃ C₂ C₁
Since C₁ has 3 choices, then C₂ has 2 choices and C₁ has 1 choice
number of combinations = 3 × 2 × 1 = 6
Case IV
C₂ C₃ C₁
C₃ C₁ C₂
C₁ C₂ C₃
Since C₁ has 3 choices, then C₂ has 2 choices and C₁ has 1 choice
number of combinations = 3 × 2 × 1 = 6
Case V
C₁ C₂ C₁
C₃ C₁ C₃
C₂ C₃ C₂
Since C₁ has 3 choices, then C₂ has 2 choices and C₁ has 1 choice
number of combinations = 3 × 2 × 1 = 6
Case VI
C₁ C₂ C₃
C₃ C₁ C₂
C₁ C₂ C₃
Since C₁ has 3 choices, then C₂ has 2 choices and C₁ has 1 choice
number of combinations = 3 × 2 × 1 = 6
Therefore, the total combinations = 6 + 6 + 6 + 6 + 6 + 6
= 36
Find the area of the figure shown below and choose the appropriate result.
4 cm
6 cm
5 cm
3 cm
Suppose users share a 3 Mbps link. Also suppose each user requires 150 kbps when transmitting, but each user transmits only 10 percent of the time. When circuit switching is used, how many users can be supported? For the remainder of this problem, suppose packet switching is used. Find the probability that a given user is transmitting. Suppose there are 120 users. Find the probability that at any given time, exactly n users are transmitting simultaneously. (Hint: Use the binomial distribution.) Find the probability that there are 21 or more users transmitting simultaneously.
Answer:
The probability that a given user is transmitting is 0.1 = 10%.
The probability that at any given time, exactly n users are transmitting simultaneously is [tex]P(X = n) = C_{120,n}.(0.1)^{n}.(0.9)^{120-n}[/tex].
0.0048 = 0.48% probability that there are 21 or more users transmitting simultaneously.
Step-by-step explanation:
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.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
Each user transmits only 10 percent of the time.
This means that [tex]p = 0.1[/tex]
Find the probability that a given user is transmitting.
The probability that a given user is transmitting is 0.1 = 10%.
Suppose there are 120 users.
This means that [tex]n = 120[/tex]
Find the probability that at any given time, exactly n users are transmitting simultaneously.
This is [tex]P(X = n)[/tex].
This n is different from the n of total number of users(120 in this case) from the standard binomial formula. This is the number of successes, which is the equivalent of x. So
[tex]P(X = n) = C_{120,n}.(0.1)^{n}.(0.9)^{120-n}[/tex]
The probability that at any given time, exactly n users are transmitting simultaneously is [tex]P(X = n) = C_{120,n}.(0.1)^{n}.(0.9)^{120-n}[/tex]
Find the probability that there are 21 or more users transmitting simultaneously.
Now we use the binomial approximation to the normal. We have that:
[tex]\mu = E(X) = np = 120*0.1 = 12[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{120*0.1*0.9} = 3.2863[/tex]
Using continuity correction, this probability is [tex]P(X \geq 21 - 0.5) = P(X \geq 20.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 20.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{20.5 - 12}{3.2863}[/tex]
[tex]Z = 2.59[/tex]
[tex]Z = 2.59[/tex] has a pvalue of 0.9952
1 - 0.9952 = 0.0048
0.0048 = 0.48% probability that there are 21 or more users transmitting simultaneously.
Jana can spend, at most, $200 on school clothes.
Which inequality represents the amount that Jana can spend on clothes?
A
x < 200
B
x > 200
с
x 200
D
x 2200
Answer:
x <= 200
Step-by-step explanation:
Your answer choices are unclear so I cannot specify a letter. The answer is
x<=200.
Answer:
x>=200
Step-by-step explanation:
I'll give Brainliest
Answer:
i think 4 but im not 100% sure
Step-by-step explanation:
Answer:
8 i guess
Step-by-step explanation:
If the sum of 20 numbers is 440, find the mean of the numbers.
Answer:
22
Step-by-step explanation:
mean= sum of observations/no: of observations
mean=440/2=22
please mark me brainliest
What us the value of IN e^4
Answer:
4 is your answer
Step-by-step explanation:
A side of the triangle below has been extended to form an exterior angle of 74°. Find the value of x.
Answer:
Step-by-step explanation:
The adjacent angle to the missing angle must sum to 180 degrees. So a=180-74=106 degrees. The sum of the three angles of the triangle must also sum to 180.
x+49+106=180
x+155=180
x=25
Answer:
106
Step-by-step explanation:
x+49=74
x=74-49=25
y=74=180
y=180-74=106
im sorry im late if u see this yw!
Formulate the recurslve formula for the following geometric sequence.
/(/left\{-16,/4,/-1,... \right\}\)
Answer:
a₁ = -16aₙ ₊ 1 = -1/4aₙStep-by-step explanation:
Given GP-16, 4, -1, ...To findThe recursive formula for the sequenceSolutionFirst term is:
-16Common ratio is:
-1/4Recursive formula:
a₁ = -16aₙ ₊ 1 = -1/4aₙThe expression 2 ( 3m + 6) is equivalent to ....
5m + 2
5m + 8
6m + 6
6m + 12
Help....
Answer:
2(3m + 6)= 2 × 3m + 2 × 6
= 6m + 12
a) Let P(t) be written as
P(t) = a cos[b(t - d)] + c
The minimum Pmin and the maximum Pmax of P(t) are given.
Pmin = 4
Pmax = 20
c = (Pmax + Pmin) / 2 = (20 + 4) / 2 = 12
|a| = (Pmax - Pmin) / 2 = (20 - 4) / 2 = 8
We now need to find the number of days t after January 1st at which P(t) is maximum by counting the days of the months from January to May and adding 21 days in June.
t = 31 + 28 + 31 + 30 + 31 + 21 = 172
We now use the period to find b (b > 0) as follows
period = 365 = 2π / b
hence b = 2π / 365
A cosine function without shift has a maximum at t = 0. P(t) has a maximum at t = 172. We can model P(t) by a cos(x) function shifted by 172 to the right as follows:
P(t) = 8 cos[(2π / 365)(t - 172)] + 12
check that P(t) is maximum at t = 172: P(172) = 8 cos[(2π / 365)(172 - 172)] + 12 = 8 cos[(0)] + 12 = 20
b) The graph of P(t) is shown below.
Answer:
perfect
Step-by-step explanation:
How to divide 8 by 3 the long way
The number 8 divided by 3 is 2 with a remainder of 2 (8 / 3 = 2 R.
Answer:
The steps are more or less the same, except for one new addition:
Divide the tens column dividend by the divisor.
Multiply the divisor by the quotient in the tens place column.
Subtract the product from the divisor.
Bring down the dividend in the ones column and repeat
Step-by-step explanation:
The number 8 divided by 3 is 2 with a remainder of 2 (8 / 3 = 2 R.
The amount of money Elise earned in tips per day for 6 days is listed below. $75, $97, $360, $84, $119, $100. Calculate the mean and median amount earned
Answer:
139. 2 is the mean and the median is 98.5
Step-by-step explanation:
median = 98.5
mean = 139.2
What is the surface area of this design ?
please help!!!!!!!!!!
Answer: 392.
Step-by-step explanation:
i need help with this
Select all that apply.
Which graphed lines represent direct variation functions?
line a
line 6
linec
lined
Answer:
C and D
Step-by-step explanation:
Which polynomial is prime?
X4 + 3x2 - y2 - 3
X4 - 3x2 – x2 + 3
3x2 + x - 6x-2
3x2 + x - 6x + 3
Answer:
3x2 + x - 6x + 3
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
Got it right on Edg.
5.7 is increased to 7.8
What is the percentage of increase?
Answer:
7.8%
Step-by-step explanation:
Answer:
The percentage of increase is 37%
Step-by-step explanation:
The way to find the percentage of increase is to divide The difference between the two numbers by the number before the increase
7.8 - 5.7 = 2.1
The difference between 7.8 and 5.7 is 2.1
So now we divided 2.1 by the number before the increase, in this case, 5.7
2.1 ÷ 5.7 = 0.3684
0.3684 rounded to the nearest hundredth is 0.37
Thus the percentage of increase is 37%
Find the circumference of a circle that has a diameter of 5 inches. Use 22/7 for pi.
15 in.
22/35 in.
15 3/7 in.
15 5/7 in.
Answer:
step 1. The circumference (c) of a circle is equal to the diameter of a circle x pi. c = d(pi) = 5pi
step 2. c = 5pi = 5(22/7) = 110/7 = 15 5/7.
f(x) = 3x^2 + 2x and g(x) = 5x - 1
Find (f+g)(x)
Answer:
(f + g)(x) = 3x² + 7x - 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFunction NotationStep-by-step explanation:
Step 1: Define
f(x) = 3x² + 2x
g(x) = 5x - 1
(f + g)(x) is f(x) + g(x)
Step 2: Find
Substitute in functions: (f + g)(x) = 3x² + 2x + 5x - 1Combine like terms: (f + g)(x) = 3x² + 7x - 1if you increase the number by 4 and double the sum the result you will get will be the same as four times the number decrease by six
Answer:
Step-by-step explanation:
Let the number be x,
2(4+x)= 4x-6
8+2x= 4x-6
Collect like terms
8+6. = 4x-2x
14 = 2x
x = 14/2
x.=. 7
PLEASE GIVE BRAINLIEST.
(x^2 - 4)(x^2 + x - 12) = 0
Answer:
is that a T or F
Step-by-step explanation:
ice cream is served for dessert if Gio serves himself and 3 friends half a cup of ice cream how many total pints did Gio and his friends eat?
Answer:
0.25 pints
Step-by-step explanation:
To find how many pints they ate, find the number of pints in half a cup.
In 1 cup, there are 0.5 pints.
This means in half a cup, there will be 0.25 pints.
So, Gio and his friends ate 0.25 pints
use the two points and the line to find the y-intercept
a. (-1, -1)
b. (-2, -6)
c. (- 3/4, 0)
d. (0, 4)
Answer:
0,4, That is the y intercept.
Step-by-step explanation:
Hope I helped :)
Hello, happy Friday, I am just here with some geometry questions.
Please only answer this if you know the answer. If you have a comment, please add it to the comment box. Only answer the question if you can explain your answer and why you think it is accurate. Thanks, good luck!
What is x? and how did you get it?
Answer:
x = 16
Step-by-step explanation:
step 1 - 64 + 100 + x = 180 (all triangles equals 180)
step 2 - 164 + x = 180
step 3 - 164 + x = 180
-164. -164
step 4 - 180 - 164 = 16
step 5 - 100 + 64 + 16 = 180
(I do this part to double check my work)
step 6 - x = 16
Answer:
x = 48Step-by-step explanation:
The ratio:
x/64 = (100 - 64)/xx² = 64*36x = 48A pair of angles measure 45° and 45°. Select ALL the types of angle pairs that they can be.
a
Vertical Angles
b
Supplementary Angles
c
Complementary Angles
d
Adjacent Angles
Step-by-step explanation:
b Supplementary Angles