Answers
Answer:
[tex]60 + 55 + x + 20 = 180 \\ x + 135 = 180 \\ x = 180 - 135 \\ x = 45[/tex]
Related Questions
The Ice Chalet offers dozens of different beginning ice-skating classes. All of the class names are put into a bucket. The 5 P.M., Monday night, ages 8 to 12, beginning ice-skating class was picked. In that class were 64 girls and 16 boys. Suppose that we are interested in the true proportion of girls, ages 8 to 12, in all beginning ice-skating classes at the Ice Chalet. Assume that the children in the selected class are a random sample of the population.
Required:
Construct a 92% Confidence Interval for the true proportion of girls in the ages 8-12 beginning ice-skating classes at the Ice Chalet.
Answers
Answer:
The answer is "(0.73,0.87)".
Step-by-step explanation:
Given:
number of girls[tex]= 64[/tex]
number of boys[tex]= 16[/tex]
Total number of children[tex]= 64+16= 80[/tex]
So,[tex]n=80[/tex]
Calculating the value of the proportion which is given by girls:
[tex]\hat{p}= \frac{\text{number of girls}}{\text{total number of childrens}}[/tex]
[tex]=\frac{64}{80}\\\\=\frac{8}{10}\\\\= 0.8[/tex]
Therefore the confidence interval is:
[tex]\to \hat{p}\pm z_{(1-\frac{\alpha }{2})}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\\\\\to 0.8 \pm 1.75\sqrt{\frac{0.8(1-0.8)}{80}}\\\\\to 0.8 \pm 1.75 \sqrt{\frac{0.8(0.2)}{80}}\\\\\to 0.8 \pm 1.75 \sqrt{\frac{0.16}{80}}\\\\\to 0.8 \pm 1.75 \sqrt{0.002}\\\\\to 0.8 \pm 1.75 (0.04)\\\\\to 0.8 \pm 0.07\\\\\to (0.73,0.87)[/tex]
[tex]\therefore \\\\\text{The lower confidence limit} = 0.73\\\\\text{The upper confidence limit} = 0.87\\[/tex]
If there are 52 successful outcomes in a sample with a size of 80, what is the
sample proportion?
A. 0.36
B. 0.72
C. 0.52
D. 0.65
Answers
Answer:
D. 0.65
Step-by-step explanation:
Do 52/80 to get the answer which is D.
7)
Which of the following points would fall on the line produced by the point-slope form equation y - 6 = 7(x + 4) when graphed?
(2, 20)
(-3, 13)
(0, -34)
(-1, 28)
Answers
Answer:
b (-3,13)
Step-by-step explanation:
simplify the equation into slope intercept form (y=mx+b) and then graph it
A statistics student has a mean score of 92 in the first 3 tests. Suppose there are a total of 4 tests and all of them have equal weight. You can also assume that there is no extra credit in the last test. What is the best possible final average this student can get
Answers
Answer:
The best possible final average this student can get is 94.
Step-by-step explanation:
The average score is given by the sum of the scores of all tests divided by the number of tests.
In this question:
First three tests: Mean score of 92, so total score of 92*3 = 276
Best possible score, with 4 tests:
In the first three, the total is 276. The best possible score is with a grade of 100 in the fourth test. The score will be:
[tex]M = \frac{276+100}{4} = \frac{376}{4} = 94[/tex]
The best possible final average this student can get is 94.
Y-21<85 help me pls
I don’t get this stuff lol
Answers
Answer:
it is y<106
Step-by-step explanation:
remember to add 85 and 21 together :)
A production process is known to produce a particular item in such a way that 5 percent of these are defective. If two items are randomly selected as they come off the production line, what is the probability that both are defective (assuming that they are independent)
Answers
Answer:
0.0025 = 0.25% probability that both are defective
Step-by-step explanation:
For each item, there are only two possible outcomes. Either they are defective, or they are not. Items are independent of each other. So we use the binomial probability distribution to solve this question.
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.
5 percent of these are defective.
This means that [tex]p = 0.05[/tex]
If two items are randomly selected as they come off the production line, what is the probability that both are defective
This is P(X = 2) when n = 2. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{2,2}.(0.05)^{2}.(0.95)^{0} = 0.0025[/tex]
0.0025 = 0.25% probability that both are defective
The line shown the line of best fit. The slope should and the y-intercept should
Answers
the line shown ISN'T the line of best fit. The slope should INCREASE and the y-intercept should REGRESS.
The line shown is not the line of best fit. The slope should increase and the y-intercept should regress.
We have given the graph of the regression line.
What is the graph of the regression line?
Regression lines can be used as a way of visually depicting the relationship between the independent (x) and dependent (y) variables in the graph.
A straight line depicts a linear trend in the data
Therefore, from the graph, we can conclude that,
The line shown is not the line of best fit.
The slope should increase and the y-intercept should regress.
To learn more about the regression line visit:
https://brainly.com/question/26059078
HELP!!! NEED HELP! It is a very confusing lesson
Answers
Explanation: stem equals the first digit of the number, the stem equals the second digit of the number.
If you see that there is a 4 under the stem, and 2,2,3 under the leaf, that would mean that the numbers are 42, 42, 43
There are 600 members of a sports club.
The ratio of men to women is 2:3
1/4 of the men are under 30 years old
20% of the women are under 30 years old
HOW MANY MEMBERS ARE OVER 30?
Answers
9514 1404 393
Answer:
468
Step-by-step explanation:
Men:
(3/4)(2/5)(600) = (6/20)(600) = 6(30) = 180 men over 30
Women:
(4/5)(3/5)(600) = (12/25)(600) = 48(6) = 288 women over 30
The total number of members over 30 is ...
180 +288 = 468 . . . members over 30
How would I prove KM = HM?
Given that GJ is the perp bisector of HK
Answers
Answer: See step by step
Step-by-step explanation:
Since GJ is the perpendicular bisector of HK it bisects HK and make J the midpoint of HK. Since J is the midpoint we can construct a congruence statement of KJ≅JH. Then we know in the diagram Angle MJK= 90°, becuase it form a ⊥ line so it is 90° that also means MHJ forms a 90 ° angles becuase they also form a ⊥ line. So that means KJM≅HJM because of transitive property(a=b, b=c, then a=c). Both triangles also include side MJ, so using the reflexitive property( a=a),They are congruent. Since we proved they have a two congruent sides, with a included angle in between them we can use the SAS theorem (Side-Angle-Side) to prove they are congruent. So ΔKMJ≅ΔHMJ Then KM=HM by CPCTC.
What is the value of the 5 in 564,242?
Answers
Answer:
500,000
Step-by-step explanation:
the value of 5 in the number 56242 is 500,000 or hundred thousand. to know the value of digit 5 in the number 564242 go to five the digit 5 and write zeroes after it.
have a wonderful day
Which pair
angles must be supplementary?
21
5
3 4
Answers
4 and 1
Step-by-step explanation:
Supplementary means the angle is 180 degrees so 4 is the only complete obvious 180 degree angle and 1 just cause i know it can't be 5.
Answer:
C. 4 and 5
I hope I was able to help.
Can someone help? Will give brainliest!! Ty
Answers
a^2 + b^2 = c^
a=6
b=4
36+16=c^2
52=c2
root both sides
7.2=c
1 Which triangle appears to be an obtuse
triangle?
C
B
D
Answers
Answer:D you can tell it’s much wider and it’s not at a 90 degree or less
Step-by-step explanation:
In the first quadrant you start at (6, 10) and move 6 units right and 4 units down what point will you end up with
Answers
Answer:
(12,6)
Step-by-step explanation:
If you move 6 units right, you get to (12,10). Moving 4 units down takes you to (12,6).
Sam earned $154 washing 7 cars. He earned the same amount for washing each car
Select all the equations that show reasonable estimates for the amount Sam eamed washing each car
A $140 = 7 = $20
B. $190 = 9 = $10
C. $160 = 8=320
D. $150 = 5= $10
E $150 = 3= $50
Answers
Answer:
the answer is A cause you divide 7 by 140 and the answer is 22 so 20 is the closest
Zack and Noah jogged 2/5 of a mile and walked another 1/4 of a mile. How far did they go in all?
Answers
The sum of the squares of two numbers is 26. The difference of the two
numbers is 4. Find the two numbers.
Answers
Answer:
i dont know the answer but good luck
Step-by-step explanation:
I will give brainiest.
Answers
Answer:
the third one is the answer
An individual is presented with three different glasses of cola, labeled C, D, and P. He is asked to taste all three and then list them in order of preference. Suppose the same cola has actually been put into all three glasses. What is the probability that C is ranked first and D is ranked last?
Answers
Answer and explanation:
Probability = number of favorable outcomes/ total number of outcomes
Since all glasses labelled C, D, and P are all same Cola
Probability that C is ranked first = 1/3
Probability that D is ranked last = 1/3
A man borrowed $3500 from a bank for 6 months. The bank collected 7-1/2% simple interest on the date of maturity. How much did the man pay for use of the money and what was the amount he repaid the bank on the due date of the note
Answers
Answer:
$3762.50
Step-by-step explanation:
From the problem, we can see our initial loan is 3500. On the return date, the interest of the loan is collected 7.5%. To find out how much the man paid for the loan, we need to find out how much he paid in interest, which is the percentage of the interest converted to a decimal x the initial loan. We get $262.5, and then we need to pay back the interest plus the initial loan we borrowed from the bank, so we need to add those together to get:
$3762.50
(4,9) (2,6) (0,3) y intercept please
Answers
Hi there!
Hope this helps!
Given f(x)= 5x®, what is the domain? O 5
Answers
Answer:
all real numbers (D)
the range is y>= 0 (option B)
Step-by-step explanation:
the question isn't really clear, but assuming that it's f(x)=5x^6, the domain (or at least edge says the domain) is all real numbers. Next is y is greater than or equal to 0
hope this helps and you have a very nice day !! :)
Enter an equation in point-slope form for the line.
Slope is 8 and (-7, -1) is on the line.
The equation of the line in point slope form is:
Answers
Answer:
y + 1 = 8 (x + 7)
Step-by-step explanation:
point slope form is
y - y1 = m (x - x1)
So replace the y1 with the y point, and the x1 with the x point
y - (-1) = m (x - (-7) )
then replace the m with the slope
y - (-1) = 8 (x - (-7) )
now solve
y + 1 = 8 (x + 7)
help i don’t know how to do this
Answers
Answer: E and F
Step-by-step explanation:
really long story, but those two are the correct answers. hope this helps! :)
Match each sum or difference with the correct simplified expression.
(x - 5) - (x - 1)
2x - 4
(x - 5) + (x + 1)
2x - 6
(x - 5) - (x + 1)
4.
(x - 5) + (x - 1)
-6
Answers
Answer:
[tex](x-5)-(x-1)=-4[/tex]
[tex]=2x-4[/tex]
[tex](x-5)+(x+1)=-6[/tex]
[tex](x-5)+(x-1)=2x-6[/tex]
Step-by-step explanation:
In each of the expressions we first need to open the brackets and change the sign according to the sign preceding the bracket. After that we perform simple arithmetic to find the result.
[tex](x-5)-(x-1)=x-5-x+1[/tex]
[tex]=-4[/tex]
[tex](x-5)+(x+1)=x-5+x+1[/tex]
[tex]=2x-4[/tex]
[tex](x-5)-(x+1)=x-5-x-1[/tex]
[tex]=-6[/tex]
[tex](x-5)+(x-1)=x-5+x-1[/tex]
[tex]=2x-6[/tex]
The answers are
[tex](x-5)-(x-1)=-4[/tex]
[tex](x-5)+(x+1)=2x-4[/tex]
[tex](x-5)+(x+1)=-6[/tex]
[tex](x-5)+(x-1)=2x-6[/tex]
Answer:
Step-by-step explanation:
I got it right on edge 2022!
Consider the sample space given below.
A die is a cube with six sides on which each side contains one to six dots. Suppose a blue die and a gray die are rolled together, and the numbers of dots that occur face up on each are recorded. The possible outcomes of the sample space S are listed as follows, where in each case the die on the left is blue and the one on the right is gray.
S= {11, 12, 13, 14, 15, 16, 21, 22, 23, 24, 25, 26, 31, 32, 33, 34, 35, 36, 41, 42, 43, 44, 45, 46, 51, 52, 53, 54, 55, 56, 61, 62, 63, 64, 65, 66}
Write the following event as a set.
The event that the numbers showing face up are the same.
E = ....................?
Compute the probability of E.
Answers
Answer:
1 / 6
Step-by-step explanation:
Probability is a measure of the likelihood of an event to occur. The probability for an event to occur is between 0 and 1.
The Probability of an event occurring is the ratio of the number of event in the sample space to the total number of possible outcomes.
The number of possible outcomes [n(S)] from rolling a blue die and a gray die is 36.
n(S) = 36
Let E be an event that the numbers showing face up are the same.
E = {11, 22, 33, 44, 55, 66}, n(E) = 6
The probability of E = P(E) = number event / number of possible outcomes =
P(E) = n(E) / n(S) = 6 / 36 = 1 / 6
What language your figure the thunder rose
Answers
Answer: ok buddy
Step-by-step explanation:
Answer:
?
Step-by-step explanation:
1) All cars are blue. (2) All pigs have wings. Therefore, (3) All buses have three wheels. Question 2 options: Passes the true premises test and passes the proper form test. Passes the true premises test and fails the proper form test. Fails the true premises test and passes the proper form test. Fails the true premises test and fails the proper form test. None of the above.
Answers
Answer:
Fails the true premises test and fails the proper form test
Explanation:
A valid argument must pass the true premises test and the proper form test.
True premises test checks to see if what the premises is saying is true about the world, example- pigs do not have wings and so the argument fails the true premises test. Proper form test assumes the premises is true and then checks to see if a valid conclusion was drawn based on the premises(even though it might fail the true premises test and may not be true about the world)
5. Mai attempted 40 free throws and was successful 25% of them. How many free throws did
she make?
Answers
Answer:
10 were successful
Step-by-step explanation:
40x25%=10
Answer:
10
Step-by-step explanation:
40*.25 = 10
