Caden rolls two fair number cubes numbered from 1 to 6. He first defines the sample space, as shown below:
(1, 1), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6)
(2, 1), (2, 2), (2, 3), (2, 4), (2, 5), (2, 6)
(3, 1), (3, 2), (3, 3), (3, 4), (3, 5), (3, 6)
(4, 1), (4, 2), (4, 3), (4, 4), (4, 5), (4, 6)
(5, 1), (5, 2), (5, 3), (5, 4), (5, 5), (5, 6)
(6, 1), (6, 2), (6, 3), (6, 4), (6, 5), (6, 6)
Based on the sample space, what is the probability of getting a total of 6? (5 points)
a. 5 over 36
Selected:b. 6 over 36This answer is incorrect.
c. 7 over 36
d. 8 over 36
Answer:
B. 6 over 36
Step-by-step explanation:
As we are given the sample space, the events that sum to 6 are:
{(1,5), (2,4), (3,3),(4,2),(5,1)}
Let n(S) be the number of items in sample space
n(S) = 36
Let E be the event the sum is 6
Then,
n(E) = 6
So,
P(Sum of two cubes is 6) = n(E) / n(S)
= 6/36
So, the correct answer is:
B: 6/36
Answer:
B. 6 over 36
Step-by-step explanation:
7th grade - Find the surface area of this trapezoidal prism. Please help ASAP I'll give brainliest!!!
Answer:
[tex]380 \text{ m}^2[/tex]
Step-by-step explanation:
To find the surface area of the trapezoidal pyramid, we can use the formula:
[tex]SA = 2(b) + (p \cdot d)[/tex],
where [tex]b[/tex] is the area of the base, [tex]p[/tex] is the perimeter of the base, and [tex]d[/tex] is the prism's depth.
First, we should find the area of the base using the area of a trapezoid formula.
[tex]A_\text{trap} = \dfrac{b_1 + b_2}{2} \cdot h[/tex]
[tex]b = \dfrac{15 + 5}{2} \cdot 7[/tex]
[tex]b = 10 \cdot 7[/tex]
[tex]b = 70 \text{ m}^2[/tex]
Now, we can plug the given dimensions along with the base area into the surface area formula.
[tex]SA = 2(b) + (p \cdot d)[/tex]
[tex]SA = 2(70) + ([15 + 10 + 5 + 10] \cdot 6)[/tex]
[tex]SA = 140 + (40 \cdot 6)[/tex]
[tex]SA = 140 + 240[/tex]
[tex]\boxed{SA = 380 \text{ m}^2}[/tex]
HELPP!!
The table shows the possible outcomes of spinning the given spinner twice. Find the probability of the spinner landing on 1 at least once.
The probability is?
Type an integer or a fraction
Answer: 7/16
Step-by-step explanation:
Hope this helps! Just find the number that fit the criteria (at least 1 one), and divide it by total outcomes/possibilities.
Find the error(s) and solve the problem correctly.
Sarah was asked to solve the following problem. Identify her errors and explain how to correct her mistakes.
Answer:
[tex]5x^3-18x^2+2x+21[/tex]
Step-by-step explanation:
In the second step, -9x-21 should be 9x+21. This is because -3 in x-3, and -3x-7 in 5x²-3x-7 are both negative, so each term's product should be positive.
Also, in the third line, she wrote -3x²-15x² as -18x⁴ instead of -18x²,and similarly, she wrote -7x-9x as -16x² (however this is wrong anyway because step 2 was done incorrectly).
If we continued off from the second step with these corrected errors:
[tex]5x^3-3x^2-7x-15x^2+9x+21\\5x^3-18x^2+2x+21[/tex]
Therefore, the correct simplification is [tex]5x^3-18x^2+2x+21[/tex].
Answer:
5x^3-18^2 +2x +21
Step-by-step explanation:
helpppp- just match them pls
Give the measure of the angle that is complementary to the given angle. (Example 1)
Answer:
45
70
36
52
20
130
Step-by-step explanation:
complementary means it adds up to 90 degrees.
subtract that angle from 90 to get the complementary angle
supplementary angles add up to 180 degrees
subtract that angle from 180 to get the supplementary angle
Answer:
1) 45
2) 60
3) 36
4) 52
5) 20
6) 130
Step-by-step explanation:
In the first 3 questions, it's asking us for a complementary angle to the given angle. A complementary angle is when 2 angles add up to 90 degrees. So, we are given 45 degrees already, so we can subtract that from 90 to find it's complementary angle, which is also 45. Continue to subtract from 90 for the next 2 problems.
In questions 4-6, we are asked to find an angle that is supplementary. A supplementary angle is when 2 angles add up to 180 degrees. We are given an angle that measures 128 degrees, so subtract 180-128 to get 52 degrees. Continue subtracting from 180 for the next 2 problems.
Hope this helps! :)
YALL! WHAT IS THE ANSWER?! HELP ASAP!
q:
choose the different ways that a graph can be misleading (select all that apply)
a:
1- the y-axis starts at zero and uses consistent intervals
2- different bar heights are used on the same graph
3- the y-axis doesn't start at zero
4- the intervals on the y-axis are too large
5- different bar widths are used on the same graph
6- the y-axis starts at zero but has different intervals
Answer:
Step-by-step explanation:
What is the median of this data set?
Answer:
58
Step-by-step explanation:
It is the middle point/dot
in the box with the line
PLS HELPPPPPP *100 POINTS***
Answer:
6.9 if a triangle pyramid
Step-by-step explanation:
If triangle pyramid,
1/3(b)(h)
1/3(200)(h)=460
h=6.9
The language arts teacher wants to know whether the students in the entire school prefer a debate or an speech. The teacher draws a random sample from the following groups:
All teachers in the school
All boys in each grade
All students in the speech club
All students in each grade
Which group best represents the population she should take a random sample from to get the best results for her survey? (5 points)
a
All teachers in the school
b
All boys in each grade
c
All students in the speech club
d
All students in each grade
Johnny wants to know how many students in his school enjoy watching science programs on TV. He poses this question to all 26 students in his science class and finds that 75% of his classmates enjoy watching science programs on TV. He claims that 75% of the school's student population would be expected to enjoy watching science programs on TV. Is Johnny making a valid inference about this population? (5 points)
a
Yes, it is a valid inference because his classmates make up a random sample of the students in the school
b
Yes, it is a valid inference because he asked all 26 students in his science class
c
No, it is not a valid inference because he asked all 26 students in his science class instead of taking a sample from his math class
d
No, it is not a valid inference because his classmates do not make up a random sample of the students in the school
A researcher posts a magazine advertisement offering $30 in exchange for participation in a short study. The researcher accepts the first three people who respond to the advertisement. Which of the following statements is true about the sample? (5 points)
a
It is not a valid sample because it is not a random sample of the population.
b
It is a valid sample because the first three people were selected to participate.
c
It is a valid sample because money was offered to participants.
d
It is not a valid sample because it is only a short study.
Answer:
Q1: D
Q2: D
Q3: B
Step-by-step explanation:
Q1: It says it in the question.
Q2: He asked the ones in his science class so they would obviously prefer science, but that is not true for the rest of the students.
Q3: It is random because the first 3 people were chosen regardless of who they were, and it is still a valid sample even if the study is short.
Please help I'll give u brainleist!
Answer:
Step-by-step explanation:
probability you roll a one is 1/6
probability you roll an 8 is 0/6
add them and the answer is 1/6
At the sewing store, Samantha bought a bag of mixed buttons. She got 400 buttons in all. 400 of the buttons were large. What percentage of the buttons were large?
Answer:100% of the buttons were large.
she got 400 buttons
400 were large
400/400 as a percent is 100%
Step-by-step explanation:
Explanation she got 400 buttons
400 were large
400/400 as a percent is 100%
whats the surface area? sorry if im annoying
Answer:
The surface area of a solid object is a measure of the total area that the surface of the object occupies.
Step-by-step explanation:
SA=2B+Ph
Find the area of each face. Add up all areas.
Write an equation to match each graph.....
the table shows the possible outcomes of spinning the given spinner twice. Find the probability of the spinner landing on 1 at least once.
The probability is?
LOOK AT THE PICTURE AND PLEASE HELP!!
Answer: The probability or percentage of the spinner landing on 1 once is 36% or 9 out of 25.
Step-by-step explanation:
can someone help me please? I know that I will be using the theoretical probability equation, but I just don’t know what to do
Answer:
Step-by-step explanation:
Hi there,
We know that a pair means two and so for each pair of socks he has, we are going to multiply that number by two to find the individual amount.
White socks: 2 pairs x 2 = 4 total white socks
Black socks: 4 pairs x 2 = 8 total black socks
Blue socks: 1 pair x 2 = 2 total blue socks.
Now, you add up the total amount of individual socks in the drawer.
4+8+2 = 14 socks.
We are trying the find the probability that he is going to pick a black sock. The amount of black socks is going to go on the numerator of the fraction and the total amount of socks in the drawer is going to go on the denominator.
8 black socks / 14 total socks
Now that we have this fraction, we need to simplify it. The number 8 and 14 are both divisible by 2, so we now have the fraction (4/7).
What this means is that, theoretically, if he randomly pulled out 7 socks, that 4 of the socks he pulls out should be black, leaving the probability he picks out black socks to be (4/7) of the time or about 57% likely to happen.
I hope this helps, let me know if you have questions :)
A decagon is a 10-sided figure.
Divide the decagon into triangles.
Answer:
8 triangles
Step-by-step explanation:
100 PTS *MIDDLE SCHOOL 7th GRADE***** HELP PLEASE!
Answer: x=108 degrees
Step-by-step explanation:
Since ST is a straight line, it measures 180 degrees.
This means that
x+(2/3)x=18
The simplified version is 5x/3=180. Now, we multiply both sides by 3. The equation becomes 5x=540 you would divide 5 by both sides which is ultimately x=108.
Answer:
x=108 degrees
Step-by-step explanation:
We know that since ST is a line, it equals a total of 180 degrees.
Let's write an equation:
[tex]180=x+\frac{2}{3}x[/tex]
simplify
[tex]180=\frac{5}{3} x[/tex]
divide both sides by 5/3
108=x
So, x=108 degrees.
Hope this helps! :)
pls help its over due
Your selected answer is correct. The 35 needs to be converted to 0.35 and then multiplied by 20.
___ is 35% of 20. So 0.35 x 20 = 7. The answer to the bottom left box is 7.
Answer:
The correct answer is 7
PLS HELP MEEE All of the number sentences are true except.
7 3 = 343
4 2 = 16
6 3 = 18
11 2 = 121
Answer:
I think its the second one, 4 2 = 16. If not then the third one.. I hope this helps!
When playing a board game, Leilani rolls a number cube twice to determine her next move. In her past 10 moves, she’s rolled two 5s once. How many times does she expect to again roll two 5s in her next 30 moves? Which statement compares this prediction to the theoretical probability of rolling two 5s.
Answer: Leilani has the probability of rolling two 5s three times on her next 30 moves.
Step-by-step explanation: If on average Leilani rolls once in 10, then we can predict that she will at least roll 3 in 30.
Which number describes the median of the data given in the table?
Responses
A 24.224.2
B 2323
C 2222
D 2828
Question 2
Which number describes the range of the data given in the table?
Responses
A 66
B 2323
C 2222
D 28
The number which describes the median of the data given in the table is 23. option B.
The number which describes the range of the data given in the table is 6. Option A.
What is the median and range of the data given in the table?Arrange the average gas mileage in ascending order
22, 22, 23, 26, 28
The median of a data refers to the middle number of the data set when arranged either in ascending order or descending order.
The median is 23
Hence, the range of the data set refers to the difference between the highest and lowest data.
= 28 - 22
= 6
Read more on median and range:
https://brainly.com/question/13278246
#SPJ1
PLEASE HELP I NEED THE ANSWER ASAP!!
(100 POINTS IF RIGHT!!!!!)
Answer:
1/2
Step-by-step explanation:
If the fraction of the box of pancake mix that Merida uses on Friday is not given, it is difficult to determine the exact fraction that she used on Saturday. However, if we assume that the fraction of the box of pancake mix used on Friday is 1/2 (which is a common amount for a recipe that serves 4-6 people), then we can solve for the fraction used on Saturday.
On Friday, Merida used 1/2 of the box of pancake mix.
On Saturday, she used 1 times as much pancake mix as Friday, or 1/2 * 1 = 1/2 of the box of pancake mix.
Therefore, Merida used 1/2 of the box of pancake mix on Saturday.
Note that if the fraction used on Friday is different, the fraction used on Saturday will also be different.
please help me with these problems I will give brainlist
Step-by-step explanation:
Slope intercept form of a line is
y = mx + b where m = slope b = intercept
1) y = 2x + 4
3) y = -3/4 x + 0 = - 3/4 x
I think you can see how to do the other two now......
Can you please help?
Answer:
30.68 cm²
Step-by-step explanation:
Area of the shaded region
= Area of rectangle - Area of semicircle
Given,
Height (h) = 4.5 cm
Base (b) = 9 cm
Diameter (d) = 5 cm
Formula
Area of the rectangle = bh
Area of the rectangle
= 9 x 4.5
= 40.5 cm²
Formula
Radius (r) = d/2
r = 5/2
r = 2.5 cm
Formula
Area of the semicircle = πr²/2
Note
The value of π is 3.14
Area of the semicirlce
= (3.14 x 2.5²)/2
= (3.14 x 2.5 x 2.5)/2
= 19.625/2
= 9.8125 cm²
Area of the shaded region
= Area of rectangle - Area of semicircle
= 40.5 - 9.8125
= 30.6875 cm²
~ 30.68 cm² approximately
Find the surface area of the square pyramid shown. Label the net to help you.
I have to show work
Answer: 40 inches squared
Labels are in the pictures
Step-by-step explanation:
To find the surface area, find the area of each side.
Square (base) : side * side = 4*4 = 16
Triangle (sides) : (base * height)/2
Assuming each side is a isosceles triangle, the base 4/2 = 2
(2*6)/2 = 12/2 = 6
Since there are 4 triangles, we can multiply 6 by 4 to get the combined area. We then add the area of the square to get the final result.
6*4 + 16 = 24+16 = 40
Which answer choice best represents 50/15
?
Answer:
3 1/3
Step-by-step explanation:
See attachment below
Answer:
Option (A) 3 1/3
Step-by-step explanation:
Let’s solve the improper fraction into a mixed fraction.
The simplified fraction will get a remainder but we I’ll not solve the remainder.
50/15
Quotient = 3
Remainder = 5
Fraction = 3 5/15
= 3 1/3
Hope my answer helps you ✌️
Mark BRAINLIEST
Pls answer this for me
The stem-and-leaf plot below shows the percentage scores on a recent sixth-grade science test.
Use the stem-and-leaf plot to determine the mode of the test scores.
At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Relish Chili
54 36 60
Based on the data in this sample, how many of the people in attendance would prefer chili on a hot dog?
5,070
3,380
2,986
2,084
Answer: 3,380
Step-by-step explanation: THIS IS MY GUESS.
Since we know that 150 people were surveyed, and only 60 wanted chili, we can write an equation to get the percentage of people who wanted chili as 60/150. We can simplify that to get 6/15 and then simplify again to get 2/5. 2/5 simplifies to 40% as a percentage. 40% of 8,450 (or 0.4 x 8,450) would be 3,380.