Answer:
v=6
Step-by-step explanation:
Just plug in the numbers u already know.
v²=8²+2*(-7)*2
V²=64-28
v²=36
v=√36
v=6
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.
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]
Write a multiplication equation and a division equation that represent this situation. Use “?” to represent the unknown quantity.
Answer:
csdkc kwhbfc d cjasd c
Step-by-step explanation:
sdjnf ewaihfbashehkf liq4bf;wjhf
Here are some equations that contain a variable and a list of values. Think about what each equation means and find a solution in the list of values. If you get stuck, draw a diagram. Be prepared to explain why your solution is correct.
1000−a=400
12.6=b+4.1
8c=8
2/3d=109
10e=1
10=0.5f
0.99=1−g
h+37=1
Answer:
1.) a=600
2.)b=8.5
3.)c=1
4.)d=163.500
5.)e=0.1
6.)f=20
7.)g=0.010
8.)h=-36
Step-by-step explanation:
Suppose you have $20 in your bank account. You start saving $5 each week. Your friend has $5 in his account and is saving $10 each
week. Assume that neither you nor your friend makes any withdrawals.
After how many weeks will you and your friend have the same amount of money in your accounts? How much money will each of you
have?
Answer:
The answer is after 3 weeks you will have the same amount of money
Step-by-step explanation:
5x + 20 = 10x +5
5x - 10x = 5 -20
-5x = -15
x = -15/-5
x = 3
60% of what number is 33?
60 percent (calculated percentage %) of what number equals 33? Answer: 55.
Answer:
55 :)
Step-by-step explanation:
b - 1/8= 3 1/2
what’s b equal
Tess and Alice are both on the swim team. Last practice, they each swam laps for the same amount of time, but Tess finished more laps. This weekend, They're swimming the same number of laps at a swim meet. Who will likely finish first?
SOMEONE PLEASE ANSWER SOON :)
Answer:Tess, sorry im a week late
Step-by-step explanation: ):
Please help!!!!! will give you brainliest! im tyna pass math class
Jackson plans to go to the school fair. The price to get into the fair is $7.50, and each ride costs an additional 99 cents. If he can spend at most $35.00 at the fair, write an inequality that can be used to solve for r, the number of rides Jackson can go on, and what is the maximum number of rides he can go on?
Answer: $7.50 + .99 8.50
Step-by-step explanation: 8.50 x 4 = 34 and it is close to 35.
every computer that a business owner purchases will lose most of its value after 5 years of use. the owner plans to purchase a computer for $2.100 and replace it after 4 years.
The business owner bought a computer that cost $2,400 instead of $2,100. the owner plans to replace the computer after 3 years instead of 4 years. Comparing both methods, which statement is true about the remaining value of this computer after 3 years of use ?
Answer:
Step-by-step explanation:
a) Data and Calculations:
Estimated useful life of a computer = 5 years
Cost of a computer purchased = $2,400
Annual depreciation expense = $480 ($2,400/5)
This means that the business owner chooses to spread (expense) the cost of the computer over 5 years at a rate of $480.
After 3 years, the cost already expensed = $1,440 ($480 * 3)
The Remaining value of this computer after 3 years of use will be $960 ($2,400 - $1,440).
b) Depreciation is an accounting method for spreading (or expensing) the cost of a long-term asset over its useful life.
PLEASE HELP ME ASAP!!!
Answer:
1.1r,-1r
2.-2x,5x
Step-by-step explanation:
i tgink tgis is what the answer os unless i am a doing the math wrong. so i hope im right and tgis helps
3 4/5 • 3 1/2 divide reduce to the lowest term
Answer:
133/10
Step-by-step explanation:
first turn into proper fraction
19/5 * 7/2 = 133/10
PLEASE HELP ME!!!! I WILL GIVE BRAINLIEST
9514 1404 393
Answer:
[tex]f(x)=\left\{\begin{array}{cl}-x^2+11x-28&\text{for $4<x<7$}\\x^2-11x+28&\text{otherwise}\end{array}\right.[/tex]
Step-by-step explanation:
The absolute value function negates its contents when those contents are negative. Here, the quadratic factors as ...
x^2 -11x +28 = (x -4)(x -7)
so will be negative when the factors have different signs. That will be the case for 4 < x < 7.
The piecewise function can be written in 3 parts, one part for x ≤ 4, another part for 4 < x < 7, and the remaining part for 7 ≤ x. The function expressions for x ≤ 4 and 7 ≤ x are identical.
In the answer above, we chose to write it with the part where the quadratic is negated being defined on the appropriate interval, and using "otherwise" for the rest of the function. It is a little unconventional to do it this way, but it is more compact and completely defines the function.
PLEASE HELP ILL GIVE BRAINLIEST AND FOLLOW using y=mx+b form
Answer:
y=1+5
Step-by-step explanation:
b is the y intercept and 1 is the slope gradient
is -4 greater than or less than -1?
The Kelly Students Council sold holiday swags for $10 for a fundraiser.. They spent $90 on materials to make the swags.. If they want to make at least $400,, how many swags do they need to sell? Write and solve the inequality.
Answer:
the answer would be 49
Step-by-step explanation:
they need to sell 49 to get their money back and make the 400 dollar goal
10 MINUTES UNTIL I HAVE TO TURN TEST IN
HELP PLS :)
Answer:
10) Total Discount = $15 dollars; New Amount = $60 dollars.
11) Total Markup = $3,750 dollars; New Amount = $28,750 dollars.
12a) Percent Increase from $100 to $150: 50% increase.
12b) Percent Decrease from $150 to $100: 33.33% decrease.
Step-by-step explanation:
I would be more than happy to show my work, but I see that you have to submit your test soon, so I will just leave it at this for now. If you need any clarification, I am more than happy to help. Feel free to give me Brainliest if you feel this helped! Have a good day, and good luck on your test. :)
Please help if you would be so kind, it’s geometry:
Answer:
Step-by-step explanation:
x+(4x-8)+(x+8) = 180
x = 30
∠C = x+8 = 38°
height = 7sin38°
area =0.5·13·7sin38° ≅ 28.0126 cm²
Olivia completed a high dive from a platform at a recent competition.
The graph below shows her distance from the pool, in meters, as a
function of time, in seconds.
Answer:
B
Step-by-step explanation:
Answer:
B). It takes Olivia about 3.2 seconds to enter the pool.
X+X+(60% of X)=180
Ez points plus brainliest
Answer:
x = 900/ 10 + 3fo
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
Determine which choice best shows the distributive property of multiplication.
Question 3 options:
1 × 4 = 4 × 1
1 × 1 = 1
1 × (4 × 6) = (1 × 4) × 6
1 × (4 + 6) = (1 × 4) + (1 × 6)
Jane and five friends go on a camping holiday together for a week,
The 6 friends will share the costs of the holiday equally.
Here are the costs of the holiday.
£216 for 6 return coach tickets
£404 for the campsite
£316 for hire of a tent for a week
Work out how much Jane has to pay for her share of the costs.
Answer:
Jane's share of the cost is £156
Step-by-step explanation:
Since the cost is to be shared equally amongst the 6 friends, to get the amount to be paid by Jane, we must work out the total cost to be incurred first.
Total cost = £216 + £404 + £316
= £936
Since there are 6 friends willing to bear this cost equally, the amount to be paid by Jane
= £936/6
= £156
Jacob spent 24% of his allowance last week. What fraction of his allowance did Jacob spend? Write the answer in simplest form.
6/25
Step-by-step explanation:
24/100
both can be multiplyed or divided by 4 and that is the lowest.
so
24÷4=6
100÷4=25
A quality assurance check is 91% accurate for non-defective devices and 97% accurate for defective devices. Of the devices checked, 84% are not defective. What is the probability of an incorrect conclusion? Round your answer to the nearest tenth of a percent.
The probability of an incorrect conclusion is,
In 84 % of inspection, [tex]7.56\%[/tex] of them labeled as not defective but they are actually defective
Probability :It is given that,
A quality assurance check is 91% accurate for non-defective devices and 97% accurate for defective devices.
Of the devices checked, 84% are not defective.
Actual not defective is,
[tex]\frac{91*84}{100} = 76.44\%[/tex]
In [tex]84\%[/tex] of inspection,[tex]76.44\%[/tex] are actually not defective
But [tex]84- 76.44 = 7.56\%[/tex] of them labeled as not defective but they are actually defective
Learn more about Probability here:
https://brainly.com/question/24756209
What is 55 percent of 880?
Answer:
55% of 880= 484
Step-by-step explanation:
6. The sum of two numbers is 30. The sum of the
first number and three times the second number
is 54. What is the product of the two numbers?
Part 2: Free Response 11. The distribution of actual weights of 8-ounce chocolate bars produced by a certain machine is Normal with mean 8.1 ounces and standard deviation 0.1 ounces. Company managers do not want the weight of a chocolate bar to fall below 8 ounces, for fear that consumers will complain. (a) Find the probability that the weight of a randomly selected candy bar is less than 8 ounces.
Answer:
0.1587 = 15.87% probability that the weight of a randomly selected candy bar is less than 8 ounces.
Step-by-step explanation:
When the distribution is normal, we use 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.
The distribution of actual weights of 8-ounce chocolate bars produced by a certain machine is Normal with mean 8.1 ounces and standard deviation 0.1 ounces.
This means that [tex]\mu = 8.1, \sigma = 0.1[/tex].
(a) Find the probability that the weight of a randomly selected candy bar is less than 8 ounces
This is the pvalue of Z when X = 8. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{8 - 8.1}{0.1}[/tex]
[tex]Z = -1[/tex]
[tex]Z = -1[/tex] has a pvalue of 0.1587
0.1587 = 15.87% probability that the weight of a randomly selected candy bar is less than 8 ounces.
what is the area of this quadrilateral?
Answer
theres nothing there
Step-by-step explanation:
You prob forgot to provide one
Pls help me question is above, pls give the correct answer:)
Answer:
A'=(5,1)
Step-by-step explanation:
Rotations
Given a point A(x,y) on the plane. A rotation of 270° counterclockwise will map point A to A'(y,-x), i.e. we switch x and y and invert x.
The preimage of point A is located at (-1,5). When rotated 270° counterclockwise it will map to (5,1).
The image attached below shows both points
In an arithmetic sequence, u1 = 1.3 , u2 = 1.4 and uk = 31.2.
7a. Find the exact value of Sk
if somone can help.
Answer:
c cause it says length = 5x