From the figure, we can notice that :
⊕ There are 4 striped blocks
⊕ The total number of blocks in the block set : 8
The ratio of striped blocks to total blocks in the block set is :
[tex]\sf{\implies \dfrac{4}{8}}[/tex]
[tex]\sf{\implies \dfrac{1}{2}}[/tex]
[tex]\sf{\implies 1 : 2}[/tex]
Answer : B
Mika is a local farmer who is interested in how often residents in her town go to a farmer's market each month. She surveys 124 families and finds that, on average, those families visit a farmers' market 4.2 times per month with a sample standard deviation of 1.3. If Mika wants to be 99% confident (z=2.58) using this sample, what should her margin of error be and what does it mean?
Answer:
The margin of error is of 0.3012, and it means that we should be 99% confident that the population mean would be within 0.3012 of the sample mean.
Step-by-step explanation:
Margin of error
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
Standard deviation of 1.3
This means that [tex]\sigma = 1.3[/tex]
She surveys 124 families
This means that [tex]n = 124[/tex]
Margin of error and meaning:
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]M = 2.58\frac{1.3}{\sqrt{124}}[/tex]
[tex]M = 0.3012[/tex]
The margin of error is of 0.3012, and it means that we should be 99% confident that the population mean would be within 0.3012 of the sample mean.
All seniors voted for this year's prom theme. The bar graph below shows the distribution of responses of which theme each student selected. Is there a problem with the way the data are displayed in the bar graph?
Answer:
yes there is a problem
Step-by-step explanation:
The ranking should start from 0 n u can see its started from5
Answer:
(A) Yes, the vertical axis should begin at 0, not at 5.
Step-by-step explanation:
I just took the AP Stat Unit test on Edg2022 and got 100%.
When the vertical axis does not start at 0, it makes the graph look misleading.
Don't forget to press that THANKS button!
I need the coordinates like ASAP
Use the diagram to name the following
Answer:
1. P
2. BP
3. DE
4. AB
Step-by-step explanation:
Elizabeth has a loyalty card good for a 20% discount at her local hardware store.
What would her total In dollars and cents be, after the discount and before tax, if the
total cost of all the items she wants to buy is $19.20? Round to the nearest cent.
Answer:15.36
Step-by-step explanation:
Took the test
help me find the answer
100 point if u help
Answer:
maybe it is 3600 m not sure though
1. For a one-tailed test (lower tail) at 93.7% confidence, Z =
2. For a one-tailed test (upper tail), a sample size of 24 at 90% confidence, t =
3. In a one-tailed hypothesis test (lower tail=left tailed test) and where the population standard deviation is known, the test statistic is determined to be -2.5. What is the p-value for this test?
Answer:
1) Z = -1.8592
2) t = 1.7139
3) p = 0.0062
Step-by-step explanation:
1) Area: (93.7+100)/2 = 193.7/2 = 96.85
Z = invNorm(0.9685,0,1) = 1.8592, but since the test is one-tailed at the lower tail, Z is actually -1.8592
2) Area: (90+100)/2 = 190/2= 95 where df=n-1=24-1=23
t = invT(0.95,23) = 1.7139
3) Since the population standard deviation is known, our test statistic is z=-2.5, making the p-value for the test p=normalcdf(-1e99,-2.5,0,1) = 0.0062
There are 750 people at a football game Out of this number 320 are students what percent of people at the football game are not students? Round to the nearest hundredth,if needed.
The percent of people at the football game are not students will be 57.33%.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
The number of peoples in football game = 750
The number of students = 320
Now.
Find the percent of people at the football game are not students as;
Number of people are not students = 750 - 320
= 430
Thus, The percent of people at the football game are not students is;
Percent = 430 / 750 x 100
= 0.5733 x 100
= 57.33%
Hence, The percent of people at the football game are not students will be 57.33%.
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James used 30% of his savings to buy video games. If he had $60 dollars saved. How much does he have left
Answer: $42 left
Step-by-step explanation:
30% of 60 = 18 60-18 leaves $42
HELP ME PLEASEEEEEEEEEEE
Answer:
The correct answer is 6
Step-by-step explanation:
42 = 7r
R = 42/7 = 6
Answer:
r=6
Step-by-step explanation:
Divide both sides of the equation by the same term
simplify
A model of a house is created by putting a square pyramid on a cube. The resulting figure has a surface area of 165 square inches 5 in. What is the height of one of the triangular faces? O 2 inches O 4 inches O 5 inches O 6 inches
Answer:
Is 4 inches or B
Step-by-step explanation:
I can't really break it down but I did get it right on Edge 2021.
I need some help!! I will try to give brainliest!!!
Answer:
x = 35
y = 95
Step-by-step explanation:
(For y) The measure of a line is 180 degress. 180 - 95 - 50 = 35.
(For x) The measure of a triangle is 180 degress. 180 - 50 - 35 = 95.
Answer:
x = 85, y = 45
Step-by-step explanation:
solving for x:
180 - 95 = 85
solving for y:
85 + 50 = 135
180 - 135 = 45
Good luck on your schoolwork
9(6k + 3r)=
A) 15k+12r
B) 54k+27r
C) 6(3k+0r
D) 3(18k+9r
Answer:
B
Step-by-step explanation:
9*6k+9*3r
54k+27r so the answer is B
find the number of terms in the series for the series given below.
Determine the independent and dependent variable from the following equations:
1. y = 3x - 5
2. 9 = -16s + 6
3. p= 7+39
4. m = 2 - 4n
Answer:123 because 1 is before 2
Answer:
I don't know what I have already asked for record
! + 3 − 5 = 0; by completing the square
Answer:
x = 1.19258 and x = −4.19258
Step-by-step explanation:
The given equation is :
[tex]x^2+3x-5=0[/tex]
Keep x terms on the left and move the constant to the right side by adding it on both sides.
[tex]x^2+3x=5[/tex]
Take half of the x term and square it.
[tex](3\times \dfrac{1}{2})^2=\dfrac{9}{4}[/tex]
then add the result to both sides
[tex]x^2+3x+\dfrac{9}{4}=5+\dfrac{9}{4}\\\\(x+\dfrac{3}{2})^2=\dfrac{29}{4}\\\\(x+\dfrac{3}{2})=\sqrt{\dfrac{29}{4}}\\\\x=\dfrac{-3}{2}+\sqrt{\dfrac{29}{4}}\\\\x=\dfrac{-3}{2}-\sqrt{\dfrac{29}{4}}[/tex]
So,
x = 1.19258 and x = −4.19258
Hence, this is the required solution.
Identify the functions that exhibit a removable discontinuity.
Answer:
h(x) and k(x)
Step-by-step explanation:
The functions that exhibit a removable discontinuity are function i(x) and function k(x)
What is a quadratic equation?"An equation of the form ax² + bx + c = 0 is a quadratic equation."
What is a function?"It defines a relation between input and output values."
What is discontinuous function?"This function has a discontinuity at one or more values mainly because of the denominator of a function is being zero at that."
What is removable discontinuity?"If adjusting the function's value at the point of discontinuity will render the function continuous, then such discontinuity is called removable discontinuity."
What is non-removable discontinuity?"If adjusting the function's value at the point of discontinuity will not render the function continuous, then such discontinuity is called non-removable discontinuity."
For given question,
1) Consider a function [tex]f(x)=\frac{x^{2} +4x-21}{x^{2} -13x+42}[/tex]
If we factorize the quadratic equation at numerator and denominator then the given function would be,
[tex]f(x)=\frac{(x-3)(x+7)}{(x-7)(x-6)}[/tex]
We can observe that the function f(x) is discontinuous at x = 7 and x= 6.
So, the function f(x) has non-removable discontinuity.
2) Consider a function [tex]g(x)=\frac{2x^{2} -5x+12}{2x+3}[/tex]
We can observe that the function g(x) is discontinuous at x -3/2.
We cannot factorize the quadratic equation at numerator.
So, the function g(x) has non-removable discontinuity.
3) Consider a function [tex]h(x)=\frac{x-3}{x^{2} -9}[/tex]
If we factorize the quadratic equation at denominator then the given function h(x) would be,
[tex]\Rightarrow h(x)=\frac{(x-3)}{(x-3)(x+3)}\\\\\Rightarrow h(x)=\frac{1}{x+3}[/tex]
We can observe that the function h(x) is discontinuous at x = -3
So, the function h(x) has non-removable discontinuity.
4) Consider a function [tex]i(x)=\frac{x^{2} -8x+15}{x-5}[/tex]
If we factorize the quadratic equation at numerator then the given function would be,
[tex]\Rightarrow i(x)=\frac{(x-5)(x-3)}{x-5}\\\\ \Rightarrow i(x)=x-3[/tex]
We can observe that the function i(x) is a continuous function.
So, the function i(x) has removable discontinuity.
5) Consider a function [tex]j(x)=\frac{x+4}{-2x+8}[/tex]
We can observe that the function j(x) is discontinuous at x = 4
And the function j(x) has non-removable discontinuity.
6) Consider a function [tex]k(x)=\frac{2x^{2} +x-15}{2x-5}[/tex]
If we factorize the quadratic equation at numerator then the given function would be,
[tex]\Rightarrow k(x)=\frac{(x+3)(2x-5)}{(2x-5)}\\\\ \Rightarrow k(x)=x+3x^{2}[/tex]
We can observe that the function k(x) is a continuous function.
So, the function k(x) has removable discontinuity.
Therefore, the functions that exhibit a removable discontinuity are function i(x) and function k(x)
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Convert:
2 tons 15,000 ounces =
ounces
Proper angle for a ladder is about 75° from the ground. Suppose you have a 10 foot ladder. How far from the house should you place the base of the latter? Round to the nearest hundredth
Answer:
The base of the ladder is 2.58 m.
Step-by-step explanation:
Given that,
The angle of elevation for a ladder from the ground is 75°.
The length of a ladder, H = 10 foot
We need to find the distance from the house should you place the base of the latter. Let the base of the ladder is b. Using trigonometry,
[tex]\cos\theta=\dfrac{B}{H}\\\\B=H\times \cos\theta\\\\B=10\times \cos(75)\\\\B=2.58\ m[/tex]
So, the base of the ladder is 2.58 m.
It takes Gloria 3 hours to rake the leaves in her yard. If Gloria rakes the leaves 4 times each
fall for 5 years, how many hours will she rake leaves over the five year period?
A 60 hours
CB 75 hours
C 120 hours
D 160 hours
Part A: explain why x coordinates of the points where the graphs of the equations y=4^x and y=2^(x-1) intersect are the solutions of the equation 4^x=2^(x-1). Part B: Make tables to find the solution to 4^x=2^(x-1). Take the integer values of x between -4 and 4. Part C: How can you solve the equation 4^x=2^(x-1) graphically?
9514 1404 393
Explanation:
A. The given equation will have a solution when the value of x makes the left-side expression equal to the right-side expression.
The value of the left-side expression for a given value of x is the y-value of y=4^x. The value of the right-side expression for a given value of x is the y-value of y=2^(x-1). The left-side expression will be equal to the right-side expression for a given value of x when the graph of y=4^x and the graph of y=2^(x-1) have the same y-value. That is, the graphs will be of the same point for that x-value. That is what we mean when we say the curves will intersect at that point.
The x-coordinate of the point of intersection is the value that makes the expressions equal, hence it is the solution to the equation.
__
B. The tables are included in the first attachment. We have used f(x) to represent the left-side expression, and g(x) to represent the right-side expression.
__
C. As described in Part A, the graphs will cross at the solution point. Hence the equation can be solved graphically by graphing the left-side expression and the right-side expression and seeing where the graphs cross. (That is at the point (-1, 0.25) on the attached graph.)
Alternate graphical method
The solution can also be found graphically by graphing the difference of the expressions: y = 4^x -2^(x-1). This difference will be zero at the value of x that makes the two expressions equal. That is, the x-intercept of the graph of this difference will be the solution value. The second attachment shows this sort of graphical solution. (It works nicely because many graphing calculators will display the value of the x-intercept.)
If a 5-foot tall man casts a shadow of 12 feet when standing on level ground, then the distance from the top of his head to the tip of his shadow is
Answer:
13 feet
Step-by-step explanation:
you can use the Pythagorean Theorem to solve this problem because the man standing on the ground forms a 90 degree angle
5² + 12² = c²
25 + 144 = c²
169 = c²
c = √169 which is 13
Help me out please I’ll give all five stars
I think it is 10 miles.
I hope this helps! :)
Just wanted to make sure I got the right answer
Answer:
D
Step-by-step explanation:
What is the perimeter of this shape? Use numbers only.
Answer:
30 m
Step-by-step explanation:
You simply add the lengths of all the sides. 3 m is not needed for this.
Answer:
10+5+4+6+5 = 30m
Step-by-step explanation:
Ben deposited $6,500 in a simple interest account that pays 2.8% interest annually. If Ben leaves the money in the account for 12 years, how much interest will he earn?
Answer: $2184
Step-by-step explanation:
(6800)(0.028)(12) = 2184
What steps would I take to solve this question?
9514 1404 393
Answer:
arc FG = 115°
arc EG = 165°
Step-by-step explanation:
The first step is to understand how these arcs are arranged on a circle. The next step is to realize the whole is the sum of the parts. Arcs have the same measure as their central angle. A circle totals 360°.
arc EF + arc FG = arc EFG . . . . parts of an arc add to give the whole arc
80° + arc FG = 195°
arc FG = 115° . . . . . . . . . subtract 80°
__
Similarly, parts of a circle add to give the whole circle.
arc EFG + arc EG = 360°
195° + arc EG = 360°
arc EG = 165° . . . . . . . . . subtract 195°
The sum of 8 and Jose's savings is 50.
Answer:
8 + x = 50, so Jose's saving or x = 42
Hope this helps!
Answer:
The equation is: s + 8 = 50
The amount of Jose's savings is: 42
Step-by-step explanation:
Let s = Jose's savings.
s + 8 = 50
Subtract 8 from both sides.
s = 42
The equation is: s + 8 = 50
The amount of Jose's savings is: 42
HELP WILL GIFT 30 EXTRA POINTS IF SOLVE ANSWER ALL QUESTIONS PLEASE!!!
Answer:
Question 1: The amount of students that Yolanda kept track of doesn't add up to her sample space.
Question 2: The sample space is 237. I know this because it said in the question she was asking all of the students at their Middle School which happened to be 237. A sample space is the group that you are taking information from. They are taking information from 237 students.
Can anyone give me some advices for my sis cause she is going to high school soon and I'm worried- even tho she is older then me, she is Autism and ofc I'm worried-
Don't worry I'm sure there'll be great people that would love to be friends with her!, you can also try to call everyday after she finishes her classes^^
Step-by-step explanation:
Advice;
Talk to her, let her know of the things she could be facing, yes we can give her as much advice as needed but it won't stop her from facing other rude teenagers.If she has a temper you guys should come up w coping mechanisms to use during school when she'll be alone. It's good practice to growing up.Ask for a tour around the school, it'll help her be more aware of her surroundings when she starts to attend.If she's nervous about entering a whole different nd new place it's fine, assure her it's going to be okay it'll just be a little adjustment.Advice for you; ( I know it wasn't asked of )
Calm down. Don't stress, I mean I know you're gonna, she's your sister but worrying about her is just gonna be a whole other problem you don't need. She's fine, she'll be fine, you don't want her to see you worry nd make her feel the same way, right?Alright, hope this was helpful! Need a little more insight? Feel free to ask.