Answer:
C. The mean of the data set is 8.
Step-by-step explanation:
From the dot plot we can make a frequency table as follows:
Number of books read Frequency
6 2
7 2
8 2
9 2
10 2
Since, the number of dots are 10 or then sum of the frequencies is 10.
Hence, the number of observations are 10.
Also, the median of the set is: 8
Now, the mean is calculated as:
Hence, Mean of the data set is: 8
Now, the range of the data set is the difference between the minimum and the maximum value.
Hence, range=10-6=4
The range of the data set is 4.
Answer:
c
Step-by-step explanation:
On a coordinate plane, 3 triangles are shown. Triangle B C D has points (1, 4), (1, 2), (5, 3). Triangle B prime C prime D prime has points (negative 1, 4), (negative 1, 2), (negative 5, 3). Triangle B double-prime C double-prime D double-prime has points (5, negative 1), (5, negative 3), (1, negative 2).
Which rule describes the composition of transformations that maps ΔBCD to ΔB"C"D"?
Translation of 5 units x, negative 6 units y composition reflection across y = negative x
Reflection across y = negative x composition translation of 5 units x, negative 6 units y.
Translation of 6 units x, negative 5 units y composition reflection across the y-axis
Reflection across the y-axis composition translation of 6 units x, negative 5 units y
Reflection across the y-axis composition translation of 6 units x, -5 units y. Then the correct option is D.
What is a transformation of the points?A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.
On a coordinate plane, 3 triangles are shown.
Triangle B C D has points (1, 4), (1, 2), (5, 3).
Triangle B'C'D' has points (-1, 4), (-1, 2), (-5, 3).
Triangle B"C"D" has points (5, -1), (5, -3), (1, -2).
Reflection across the y-axis composition translation of 6 units x, -5 units y.
The diagram is given below.
More about the transformation of the points link is given below.
https://brainly.com/question/27224339
#SPJ1
If f(x) = 2x – 6 and g(x) = 3x + 9, find (f+ g)(x).
Answer:
(f + g)(x) = 5x + 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 2x - 6
g(x) = 3x + 9
(f + g)(x) is f(x) + g(x)
Step 2: Find
Substitute in function values: (f + g)(x) = 2x - 6 + 3x + 9Combine like terms: (f + g)(x) = 5x + 3I need help, please answer A and B.
Answer:
a. 81 square inches
b. 108 inches
Step-by-step explanation:
The area of all 5 squares combined is 405 square inches. This is 5 times the area of 1 square. 405/5 = 81. The area of 1 square is 81 square inches.
Since this is a square, the sides are equal. Thankfully the area of 1 square is a perfect square so the length of one side of the square is a full number, which is 9. All of the squares are congruent as shown in the diagram so we simply add every length together (there are 12 sides, each side is 9 inches).
12*9 = 108 and that is the perimeter.
Answer:
area
Step-by-step explanation:
a = 405/5 = 81
a =81 square inches
perimeter
p = √81
= 9
=4×9×5
=180 inches
Solve (x + 5)∕3 = 4 for x.
Answer:
7
Step by step explanation:
1. multiply both sides by 3
3(x+5)/3 =4 x 3
2. Simplify
x + 5=12
3. Subtract 5 from both sides
x+5-5=12-5
4. Simplify
7
The table shows the completion times of four Horses in a race.
Horses
Time (Seconds)
Horse-3
1512
Horse-4
15.4
Horse-2
154
Horse-1
15.8
Which list shows the Horses in order by their completion times from fastest to slowest?
A. Horse-1, Horse-3, Horse-2, Horse-4
B.
Horse-4, Horse-3, Horse-2, Horse-1
C. Horse-4, Horse-2, Horse-3, Horse-1
D. Horse-1, Horse-2, Horse-3, Horse-4
Answer:
I think the answer is option B
Answer:
I think it is (b
Step-by-step explanation:
Graph the line with slope - 1 passing through the point (-3, 3).
Answer:
Y=-x
Step-by-step explanation:
Y=mx+c
y=3, x= -3, m=-1
(-1)(-3)=3
3-3=0
S0,
c=0
y=-x
Answer:
This is how your graph with slope of -1 and (-3,3) should look like. I hope this helps you!!
Step-by-step explanation:
what is 12 take away 1 3/5
10 3/5
thank your guy for the pool work
A tortoise is walking in the desert. . It walks for 7 minutes at a speed of 8.75 meters per minute. For how many meters does it walk ?
Step-by-step explanation:
Well it would be 8.75 ×7 which is 61.25m
if the orginal quantity is 15 and the new quantity is 19 estimate the percent change of which of these is the best esitmate for the percet change
A. 25% DECREASE
B. 5% DECREASE
C 25% INCREASE
D 5% INCREASE
Answer:
The awnser should be 5% increase or D
Step-by-step explanation:
This should be the awnser because we know that 15 to 19 is a increase. And next 25% increase is way too much, so 5% should be it.
if gh¢400.00 is deposited at a bank at 10 per annum compounded quarterly, how long will it take the deposit to double it value.
Answer:
~ 7 years
Step-by-step explanation:
2 = (1 + .1/4)^(4t)
2 = (1.025)^(4t)
Take the log of both sides
log2 = 4t * log1.025
divide both sides by log1.025
log2/log1.025 = 4t
28.07103452593863 = 4t
Divide both sides by 4
7.017758631484657 = t
~ 7 years
Find the value of x. Leave your answer in simplest radical form.
Answer the questions about the following polynomial.
-10x +1
Answer:
Step-by-step explanation:
Given polynomial is (-10x + 1).
This polynomial has two terms.
Therefore, it's a binomial with two separate terms.
The expression represents a binomial polynomial with two terms. The constant term is 1, the leading term is -10x, and the leading coefficient is (-10).
Instructions: Find the value of x
Please help
The two chords are the same length given by the 4 short lines through each section.
Because the chords are the same length they need to be equal distance from the center of the circle
X = 9
A group of students were asked if they carry a credit card. The responses are listed in the table.
If a student is selected at random, find the probability that he or she owns a credit card given that the student is a freshman. Round your answer to three decimal places.
Answer:
0.383 (3 d.p.)
Step-by-step explanation:
Probability formula
[tex]\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}[/tex]
Let P(A) = probability that the student owns a credit card
Let P(B) = probability that the student is a freshman
Use the given table to calculate the probability that the student is a freshman and owns a credit card:
[tex]\implies \sf P(B \cap A)=\dfrac{23}{100}=0.23[/tex]
Use the given table to calculate the probability that the student is a freshman:
[tex]\sf \implies P(B) = \dfrac{60}{100}=0.6[/tex]
To find the probability that the student owns a credit card given that they are a freshman, use the conditional probability formula:
Conditional Probability Formula
The probability of A given B is:
[tex]\sf P(A|B)=\dfrac{P(B \cap A)}{P(B)}[/tex]
Substitute the found values into the formula:
[tex]\implies \sf P(A|B)=\dfrac{0.23}{0.6}=0.383333...[/tex]
Therefore, the probability that the student owns a credit card given that they are a freshman is 0.383 (3 d.p.).
P(Freshman credit card holder)
23/1000.23P(Freshman)
60/1000.60P(Freshman credit holder|Freshman)
0.23/0.60.383There are 90 girls in fourth form 25 of whom study biology what percentage of fourth form girl study biology?
A pair of dice was rolled many times and the results appear below. Based upon these results, what is the experimental probability of rolling a multiple of 3?
Outcome
2 3 4 5 6 7 8 9 10 11 12
Frequency
3 6 8 11 14 16 15 12 9 5 1 The percent probability is = [ ? ]%
Round to the nearest percent.
Answer:
The exponential probability should be 33%.
Step-by-step explanation:
[tex]4 \div 12 = .33 \\ [/tex]
[tex].33 \times 100 = 33\%[/tex]
The experimental probability of rolling a multiple of 3 will be 33%.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
A pair of dice was rolled many times and the results appear below. Based upon these results.
Outcome 2 3 4 5 6 7 8 9 10 11 12
Frequency 3 6 8 11 14 16 15 12 9 5 1
Then the experimental probability of rolling a multiple of 3 will be
Favorable events = 6 + 14 + 12 + 1 = 33
Total events = 100
Then the probability will be
P = (33 / 100) x 100
P = 0.33 x 100
P = 33%
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ2
Determine which ordered pair is a solution of y = -5x - 1.
a. (9,-2)
b. (5, 24)
C. (-1,6)
d. (-4, 19)
Answer:
d.
Step-by-step explanation:
1) just to substitute the value of 'x' into the given equation and check equality:
(9;-2): -2≠ -45-1;
(5;24): 24≠-25-1;
(-1;6): 6≠5-1;
(-4;19): 19=20-1.
A small engine shop receives an average of repair calls per hour, with a standard deviation of . What is the mean and standard deviation of the number of calls it receives for -hour day? What, if anything, did you assume?
Answer:
Assuming normal distribution, the mean number of calls for a n-hour day is of [tex]m = n\mu[/tex], in which [tex]\mu[/tex] is the mean number of calls per hour, and the standard deviation is [tex]s = \sqrt{n}\sigma[/tex], in which [tex]\sigma[/tex] is the standard deviation of the number of calls per hour.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
N-instances of a normal variable:
For n-instances of normal variable, the mean of the distribution is: [tex]m = n\mu[/tex], and the standard deviation is [tex]s = \sqrt{n}\sigma[/tex]
What is the mean and standard deviation of the number of calls it receives for n-hour day?
Assuming normal distribution, the mean number of calls for a n-hour day is of [tex]m = n\mu[/tex], in which [tex]\mu[/tex] is the mean number of calls per hour, and the standard deviation is [tex]s = \sqrt{n}\sigma[/tex], in which [tex]\sigma[/tex] is the standard deviation of the number of calls per hour.
in rectangle ABCD above,
1. How many opposite sides are equal?
2. Name the parallel opposite sides.
3. Name the opposite angles that are equal.
4. How many right angles can you identify?
5. Identify the equal opposite sides.
6. How many triangles can you identify?
7. Line AB and CD are adjacent to each other.
true or false?
8. the dotted lines AC andBD are called what?
Answer and Step-by-step explanation:
1. 2 pairs (aka 4 sides) of Opposite Sides are equal
2. AB and DC are parallel, and AD and BC are parallel
3. Angles BDC and ACD are equal, angles DAC and DBC are equal, the angles ADB and BCD are equal, angles CAB and DBA are equal
4. 4 right angles
5. AB and DC are equal, and AD and BC are equal
6. 4 Triangles
7. False
8. Diagonals of a rectangle.
#teamtrees #PAW (Plant And Water)
HOW COULD MAKE 7 TO BECOME EVEN NO. WITHOUT FOUR FUNDAMENTAL PRINCIPLE
LIKE :
PLUS
MINUS
SOBRACTION
DIVISION
Answer:
2,4,6,8,10,12,14,16,18,20
Answer:
How do you make the number 7 an even number without addition, subtraction or multiplication?
Ad by IQ Test Institute
How high is your IQ?
Answer 20 questions to find out! Get a 44-page IQ performance report & more! 132,933 users this month.
Start Now
22 Answers

Yogesh Rana, B.Sc. Mathematics, University of Delhi (2016)
Answered 4 years ago
You can remove alphabet S from SEVEN.
You can change the convention. Whole mathematics works like that. After all it is just a name, ie, call the numbers divisible by 2 odd and not divisible by 2 even. Everything will still work fine. You got to rename some theorems also.
Introduce and derive a new number system from the current number system, name the symbol 6 as seven and the symbol 7 as Six. Just rename the symbols.
Introducing a new number system and interchange position of 7 with an even number.
If we remove one number before 7 ( 1 - 6 ) with its name, we have again a new number system with base 9 and technically no. 7 is still no. 7 with value = 6.
These are some genuine ways rather than dividing.
ANSWERS OF DIVISION ARE TECHNICALLY WRONG AND RIDICULOUS BECAUSE DIVISION BY ‘x’ is MULTIPLICATION BY ‘1/x’ .
Which point on the x-axis lies on the line that passes through point P and is perpendicular to line MN?
Answer:
What is 1/3 of 814
Step-by-step explanation:
What is 1/3 of 814
Answer: I think C
Step-by-step explanation:
A sample proportion of 0.36 is found. To determine the margin of error for this statistic, a simulation of 100 trials is run, each with a sample size of 50 and a point estimate of 0.36.
The minimum sample proportion from the simulation is 0.28, and the maximum sample proportion from the simulation is 0.40.
The margin of error of the population proportion is found using half the range.
What is the interval estimate of the true population proportion?
(0.30,0.42)
(0.20,0.52)
(0.24,0.48)
(0.22,0.50)
Answer:
(0.30, 0.42)
Step-by-step explanation:
Given the sample proportion is = 0.36
Number of trials required for determining the margin of the error = 100
Sample size, n = 50
The point estimate = 0.36
The minimum sample proportion form the simulation = 0.28
The maximum sample proportion from the simulation = 0.40
Also the margin of the error of population proportion is found by using the half of the range.
Therefore, the interval estimate for the true population proportion is = (0.30, 0.42)
Please help someone! Very important!
Answer:
OH NO
Step-by-step explanation:
Step-by-step explanation:
oh srr, I'm Vietnamese and I don't know your
country's solution
but i think my answer is correct :((
Help me please I’m down baddddd
Answer:
a. m<B = 100°
b. m<L = 55°
c. Scale factor = 9/11
Step-by-step explanation:
a) Similar triangles have their three corresponding angles congruent to each other, while the ratio of their corresponding sides are proportional to each other.
Since ∆ABC ~ ∆GLJ, therefore,
<A = <G,
<B = <J
<C = <L
m<J = 100° (given)
Therefore,
m<B = m<J = 100°
m<B = 100°
b) m<A = m<G
m<A = 25° (given)
Therefore,
m<A = m<G = 25°
m<G = 25°
m<L = 180° - (m<J + m<G)
Substitute
m<L = 180° - (100° + 25°)
m<L = 55°
c) scale factor of smaller triangle to the larger = side length of smaller triangle / corresponding side length of bigger triangle
Scale factor = AB/GJ
Substitute
Scale factor = 18/22
Simplify
Scale factor = 9/11
The figure is made up of 2 rectangles and 2 right triangles. What is the area of the figure? 132 units2 156 units2 168 units2 216 units2
name an outcome that has a probability between 0.5 and 1
Answer:
a coin flip
Step-by-step explanation:
The probability of an event is a number describing the chance that the event will happen. An event that is certain to happen has a probability of 1. An event that cannot possibly happen has a probability of zero.
Sketch the area under the standard normal curve over the indicated interval and find the specified area.
a. The area to the right of z = 0
b. The area to the left of z = 0
c. The area to the left of z = −1.35
d.The area to the left of z = −0.48
Answer:
a) The area of the right of z=0 is P(z >0) =0.5.
b) The area of the left of z=0 is P(z < 0) =0.5.
c) The area of the left of z=-1.35 is P(z <- 1.35) =0.0885.
d) The area of the left of z=-0.48 is P(z <-0.48) =0.3156.
Step-by-step explanation:
Here are the graphs respectively.
Determine whether the events are independent.Numbers are written on slips of paper in a hat; one person pulls out a slip of paper without replacing it, then a second person pulls out a slip of paper.Independent Not independent
Answer:
Not independent
Explanation:
Two events are not independent/dependent if the result of one event affects the outcome of the other. In the case above, numbers are picked without replacement, therefore if one slip is picked then the other slip will be picked(slips are picked only once not twice or more as in independent events). Events would be independent if there was a replacement.
Which graph shows the point (-4, 0)?
A.
B.
C.
D.
Answer:
hey. pls post the graphs with the question so we may help you. you can add the pictures as an attachment.
Find the slope thanks
