Answers the answer for question one is 3 , for question number two the answer is 9 and the answer for the last question is 24
Step-by-step explanation:
The radius of the cone is 3ft
The base area of the cone is 28.26ft²
The volume of the given cone is 75.36ft³
The formula for calculating the volume of a cone is expressed as:
[tex]V = \frac{1}{3} \pi r^2 h[/tex]
r is the base radius
h is the height of the cone
V is the volume of the cone
From the diagram, the base diameter is 6 ft
Base radius = 6/2 = 3ft
The area of the base of the cone is [tex]\pi r^2 h[/tex]
Base area = [tex]3.14 \times 3^2\ = 28.26ft^2[/tex]
Get the required volume of the cone
Volume = Base area/3
Volume = [tex]\frac{1}{3} \times 28.26 \times 8 = 75.36ft^3[/tex]
Hence the volume of the given cone is 75.36ft³
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In ΔXYZ, the measure of ∠Z=90°, the measure of ∠X=57°, and XY = 8 feet. Find the length of YZ to the nearest tenth of a foot.
Answer:
21
Step-by-step explanation:
Answer:
6.7
Step-by-step explanation:
What is the period of the sinusoidal function?
How do you graph -1/4 X. Squared
Answer:
Points at (0,0) and (4,-1)
Step-by-step explanation:
A company makes car batteries and claims 80% of its ABC batteries are good for 70 months or longer. Assume that this claim is true. Let p ˆ be the proportion in a sample of 100 such ABC batteries. What is the probability that this sample proportion is within 0.05 of the population proportion.
Answer:
78.88% probability that this sample proportion is within 0.05 of the population proportion
Step-by-step explanation:
We need to understand the normal probability distribution and the central limit theorem to solve this question.
Normal probability distribution
Problems of normally distributed samples are solved using 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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
For proportion p in a sample of size n, we have that [tex]\mu = p, s = \sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In this question:
[tex]p = 0.8, n = 100[/tex]
So
[tex]\mu = 0.8, s = \sqrt{\frac{0.8*0.2}{100}} = 0.04[/tex]
What is the probability that this sample proportion is within 0.05 of the population proportion.
This is the pvalue of Z when X = 0.8 + 0.05 = 0.85 subtracted by the pvalue of Z when X = 0.8 - 0.05 = 0.75.
X = 0.85
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.85 - 0.8}{0.04}[/tex]
[tex]Z = 1.25[/tex]
[tex]Z = 1.25[/tex] has a pvalue of 0.8944.
X = 0.75
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.75 - 0.8}{0.04}[/tex]
[tex]Z = -1.25[/tex]
[tex]Z = -1.25[/tex] has a pvalue of 0.1056.
0.8944 - 0.1056 = 0.7888
78.88% probability that this sample proportion is within 0.05 of the population proportion
e is 5 more than d.
fis 7 less than d.
a) Write an expression for e in terms of d.
Answer:
C
Step-by-step explanation:
Answer:
e = d + 5
Step-by-step explanation:
e = d + 5
f = d - 7
Solve for e means write as e = ...d
and this is already there...
You can not write it more compact then this.
If you try, you will notice you finally end with the initial equation which you started with, or you endup with something which is obviously very true like
e = e or d = d.
If 3 13/44x = 2 7/11, then what is x?
Answer:
X equals 4
11 times 4 equals 44
Answer:
x = 4
Step-by-step explanation:
you multiply 11 by 4, and get 44
100 POINTS
PLEASE PROVIDE STEPS.
THANK YOU!!!
Answer:
⅓ m/s
Step-by-step explanation:
Area of a square is:
A = s²
Take derivative of both sides with respect to time:
dA/dt = 2s ds/dt
Given that dA/dt = 6 m²/s and s = 9 m:
6 m²/s = 2 (9 m) ds/dt
ds/dt = ⅓ m/s
The Formula of the area of a square: A = bh or A = s^2
Solution:
~Take derivative of both sides
da/dt = 2s * ds/dt
~Use given values (6m^2/s and 9m)
6 = 2(9) * ds/dt
~Simplify
1/3m/s = ds/dt
Best of Luck!
A boat sailed 560 km in 8 hours. It took three hours to travel
the first 150 km. What was its average speed for the
remaining journey?
km/h
Step-by-step explanation:
150 km in 3 hours
= 150 ÷ 3 = 50km/h
Remaining distance = 560 - 150 = 410
Remaining hours = 8 - 3 = 5
Then average speed = 410 ÷ 5 = 82 km / h
the stained glass below shows bilateral symmetry. The two overlapping squares are congruent. What is the area of the window?
Answer:
116.82 square inches
Step-by-step explanation:
The overall shape is that of a 10-inch square with four triangles attached. Each of those is an isosceles right triangle with leg lengths of 2.9 inches.
The area of the four triangles is ...
total triangle area = 4(1/2)(2.9 in)(2.9 in) = 16.82 in²
The area of the 10-inch square is ...
square area = (10 in)² = 100 in²
Then the total window area is ...
window area = 16.82 in² +100 in²
window area = 116.82 in²
What percent of 71 is 37
Answer: 52%
Step-by-step explanation:
37*100=3700/71=52%
factor the polynomial-x^3-4x^2-5x
Answer:
(-x)(x^2 + 4x + 5)
Step-by-step explanation:
You have to factor out the -x from the rest of the expression.
Sally wants to fill ten 8-inch tea glasses. How much tea does she need?
A) 80 ounces
B) 40 ounces
C) 80 cubic inches
D) Not enough information to answer
Answer
I believe C considering cubic mass
Answer:
D
Step-by-step explanation:
BRAINLIEST for whoever gets this correct! Factor the expression below.
x^2-16x+64
A. (x-4)(x-16)
B. (x+4)(x+16)
C. (x+8)(x + 8)
D. (x-8)(x-8)
Answer:
D. (x - 8) (x - 8)
Step-by-step explanation:
-16x must be split into two terms that can be added to get -16, and multiplied to get 64. The only two terms that can satisfy this, is -8.
(x - 8) (x - 8)
If you're unsure about whether it's correct, you can multiply the two together to see if you get your original expression, [tex]x^2-16x +64[/tex], as your answer.
10 X 5/11=
just multiplication get it right and get brainlyest
60pts or whatever it narrows it down to
The answer is 4.55
When you divide 5 by 11 you will get 0.45454545454 than when you multiply these numbers by 10 you will get 4.54545454545 and then the rounded answer is 4.55.
Answer: 4.54
Step-by-step explanation:
9x-3=87 what is the anwser
Answer:
x=10
Step-by-step explanation:
9x-3=87
add 3 to both sides
9x=90
divide by 9 on both sides
x=10
Answer:
x=10
Step-by-step explanation:
9x-3=87
you add 3 to both sides
9x-3(+3)=87(+3)
which equals
9x=90
90/9= 10
answer:
x =10
I hope this helped!
Which line is parallel to y = 1/2x -5
Answer:
Any line with a slope of 1/2 would be parallel to that line.
Step-by-step explanation:
A line is parallel when the slopes are the same, causing the situation where the lines will never intercept. The line in the question has a slope of 1/2, so a parallel line must have that same slope.
Rewrite the decimal in the sentence below as a percentage.
The large tanks made up 0.66 of their sales last quarter.
Answer:
0.0066%
Step-by-step explanation:
The length of a rectangle is 3 feet less than 4 times the width. The perimeter is 34 feet
A.equation ?
B width ?
C.length?
A.Equation
Step-by-step explanation:
A. Equation 30 plus 4
Write an equation in slope-intercept form for the line that passes through (4,-4) and parallel to 3 +4x=2y-9
Answer:
y=-2x-12
Step-by-step explanation:
Make the equation into slope intercept form
-2y=-4x-12
divide by -2
y=2x+6
since the line is parallel the slope is the same
y=2x+b
plug in (4,-4)
-4=8+b
b=-12
y=-2x-12
please ASAP , giving BRAINLIEST if correct.
Answer:
B. -3(4x + 1) (x - 4)
Step-by-step explanation:
Out of the other answer choices, "B," is the only that factorizes correctly and ends up with the correct factorization (It already gives you the break-down of the trinomial).
However, if you're unsure about the answer, you can always take the end result: -3(4x + 1) (x - 4), and multiply it together to see if you can end up with the original trinomial: [tex]-12x^2 + 45x + 12[/tex]
Which equation has the solution x = 12?
(A
4x + 3 = 45
B
5x - 8= 68
2x - 5=29
3x +6=42
Answer:
D). last one
Step-by-step explanation:
a. 4x+3=45
4x=42
x=10.5 (incorrect)
b. 5x-8=68
5x=76
x=25.2 (incorrect)
c. 2x-5=29
2x=34
x=17 (incorrect)
d. 3x+6=42
3x=36
x=12
A slot machine has 3 dials each dial has 30 positions one of which is jackpot. To win jackpot all three dials must be in jackpot position. Assuming each play spins the dials and stops each independently and randomly, what are the odds of one play winning the jackpot
Answer:
3/90
Step-by-step explanation:
1 slot is 1/30
2 slot is 1/30
3 slot is 1/30
this gives you that 3/90 when you had them
Answer:
D) 1/(30×30×30) = 1/27000 = 0.00003 or 0.003%
Step-by-step explanation:
Stacy uses a spinner with six equal sections numbered 2, 2, 3, 4, 5, and 6 to play a game. Stacy spins the pointer 120 times and records the results. The pointer lands 30 times on a section numbered 2, 19 times on 3, 25 times on 4, 29 times on 5, and 17 times on 6.
Write a probability model for this experiment, and use the probability model to predict how many times Stacy would spin a 6 if she spun 50 times. Give the probabilities as decimals, rounded to 2 decimal places
Answer:
Hence, Stacy will spin 6, 8.33 times out of her n = 50 attempts.
Step-by-step explanation:
Let us consider a success to get a 6. In this case, note that the probability of having a 6 in one spin is 1/6. We can consider the number of 6's in 50 spins to be a binomial random variable. Then, let X to be the number of trials we get a 6 out of 50 trials. Then, we have the following model.
We will estimate the number of times that she spins a 6 as the expected value of this random variable.
Recall that if we have X as a binomial random variable of n trials with a probability of success of p, then it's expected value is np.
Then , in this case, with n=50 and p=1/6 we expect to have number of times of having a 6, which is 8.33.
As a New Year's resolution, Jimmy has agreed to pay off his 4 credit cards and completely eliminate his credit card debt within the next 12 months. Listed below are the balances and annual percentage rates for Jimmy's credit cards. In order to pay his credit card debt off in the next 12 months, what will Jimmy's total minimum credit card payment be?
Credit Card. Current Balance. APR.
A. $563.00. 16%
B. $2,525.00 21%
C. $972.00. 19%
D. $389.00. 17%
a. $321.83
b. $361.45
c. $374.65
d. $411.25
Answer:
D) FOR BOTH
so 1. D $389.00 17%
2. is D $411.25
Jimmy's Total Minimum Credit Card Payment must be equal to $71.54 if he is to clear his debt over the next 12 months.
What is Minimum Credit Card Payment (MCC)?In order for a credit issuer to give an applicant a card, there is a minimum amount that must be deposited into and remain in such a bank account every month. This is what is called a minimum credit card payment.
To calculate Jimmy's MCCP across all cards, we must use the formula:
(APR * Days of Billing Cycle * balance)/365
So for A:
((563 * 30 * 16)/365)/100 = $7.40
For B:
((2,525 * 30 * 21)/365) / 100 = $43.52
For C:
((972 * 30 * 19)/365) / 100 = $15.18
For D:
((389 * 30 * 17)/365) / 100 = $5.44
To get Jimmy's total Minimum Credit Card Payment, we say:
7.40 + 43.52 + 15.18 + 5.44 = $ 71.54
See the link below for more about Minimum Credit Card Payment:
https://brainly.com/question/1245865
Mae and Luke are players on a game show. Mae has 80 points and Luke has -20 points. How many more points than Luke does
Mae have?
will mark the branliest to first one who answers
Answer:
3 1/4
Step-by-step explanation:
3/4 + (1/3 ÷1/6) - (-1/2)
Subtracting a negative is adding
3/4 + (1/3 ÷1/6) +1/2
Parentheses first
Copy dot flip
3/4 + (1/3 * 6/1) +1/2
3/4 + 2 + 1/2
Get a common denominator
3/4 + 2 + 2/4
2 + 5/4
2 + 4/4 +1/4
2+1 + 1/4
3 1/4
What’s the volume of the pic
Answer:
100[tex]\pi[/tex] cubic cm
Step-by-step explanation:
The volume of a cone can be represented by the formula [tex]\frac{1}{3} \pi r^{2} h[/tex]. Since we know the radius is 5, all we need to find id the height. To do that, we can use the Pythagorean theorem, and see that the height is equal to 12. Plugging the numbers into the formula gives us:
[tex]V =\frac{1}{3} \pi (5^{2}) (12)[/tex]
[tex]V = 100\pi[/tex]
HOPE THIS HELPED! :)
A student has $78 in his checking account. If the student spends $12 on lunch, which number could be combined with the amount left in the account to make zero?
Answer:
-66
Step-by-step explanation:
There will be $66 left after the $12 spent on lunch. 66 + -66 = 0
The number could be -66 combined with the amount left in the account to make zero.
What are Arithmetic operations?Arithmetic operations can also be specified by the subtract, divide, and multiply built-in functions.
Student has $78 in his checking account
Student spends $12 on lunch
Let, the number is x
78 + x - 12 = 0
x = - 66
Learn more about Arithmetic operations here:
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at the dade county fair, the williams family bought 6 burgers and 4 gatorades for $14.10. the jackson family bought 3 burgers and 4 gatorades for $9.15.find the price of a burger and the price of a gatorade sn: i need help like really fast
Answer:
The cost of a burger is $1.65 and the cost of a gatorade is $1.05.
Step-by-step explanation:
We can solve this question using a system of equations.
I am going to say that:
x is the price of a burger.
y is the price of a gatorade.
6 burgers and 4 gatorades for $14.10
This means that [tex]6x + 4y = 14.10[/tex]
3 burgers and 4 gatorades for $9.15.
This means that [tex]3x + 4y = 9.15[/tex]
Will write 4y as a function of x.
[tex]4y = 9.15 - 3x[/tex]
Replacing in the first equation:
[tex]6x + 4y = 14.10[/tex]
[tex]6x + 9.15 - 3x = 14.10[/tex]
[tex]3x = 4.95[/tex]
[tex]x = \frac{4.95}{3}[/tex]
[tex]x = 1.65[/tex]
And
[tex]4y = 9.15 - 3x[/tex]
[tex]4y = 9.15 - 3*1.65[/tex]
[tex]4y = 4.2[/tex]
[tex]y = \frac{4.2}{4}[/tex]
[tex]y = 1.05[/tex]
The cost of a burger is $1.65 and the cost of a gatorade is $1.05.
If you roll two fair six-sided dice, what is the probability that at least one die shows a 333?
Answer:
1/3(0.3333333333%)
Step-by-step explanation:
There are six sides, and you can only land on one at a time on each die, so there is a one-in-three chance of landing on a three.
Answer:
11/36
Step-by-step explanation:
Dont trust the other answer it is WRONG