Answer:
30.285 m²
Step-by-step explanation:
C = 2πr
2 · π · 2
≈ 12.57
12.57 ÷ 2 = 6.285
10 - 2 = 8
8 · 4 ÷ 2
32 ÷ 2
16
2 · 4 = 8
6.285 + 8 + 16
30.285
What is the length of the diagonal of a non -regulation tennis court with length 20 feet and width 15 feet
Answer:
25 feet
Step-by-step explanation:
using the sides 20 and 15, use the Pythagorean theorem to find the hypotenuse of the right triangle formed by the 2 side lengths and the diagonal.
[tex]a^{2} +b^{2} =c^{2} \\20^{2} +15^{2} =c^{2} \\400+225=c^{2} \\625=c^{2} \\25=c[/tex]
Find the surface area of a square pyramid with side length 4 mi and slant height 5 mi.
Answer:
SA = 56 sq mi
Step-by-step explanation:
SA = area of base + 1/2(perimeter of base)(slant height)
SA = 16 + 1/2(16)(5)
SA = 16 + 8(5)
SA = 16 + 40
What is the solution to the system of equations below?
y = 2/5 x -3 and x = -10
-
A= (-10, -7)
B= (-10, -1)
C= (-7, -10)
D= (-1, -10)
WILL MARK FIRST CORRECT ANSWER BRAINLIEST
Answer:
here u go gurly
Step-by-step explanation:
You pay $2 to play a game in which you roll one fair die. If you roll a 5 on the first roll, you win $5. If you roll a 1 or a 2, you win $3. If not, you lose your money. Use this information to answer questions 1-2.
Find the expected value for this game? Round your answer to the hundredths place
Find the fair price for this game. Round your answer to the hundredths place
Answer:
The answer is 4
Step-by-step explanation:
MRK ME BRAINLIEST PLZZZZZZZ
Answer:
4
:P
Step-by-step explanation:
Is either x = 8 or x = 10 a solution to 5x < 52?
A. x = 8 is a solution, but x = 10 is not.
B. Neither is a solution.
O C. x = 10 is a solution, but x = 8 is not.
D. They are both solutions.
Answer:
B. neither of them are solutions
Given: Triangle ABC with AB = 42 and BC = 20. Which of the following are possible lengths for AC?
Answer:
46.5
Step-by-step explanation:
Using the Pythagoras' Theorem, this is the answer you would get.
I hope this helped☺
What is the volume, in cubic meters, of a cylinder with a height of 3 meters and a base
radius of 4 meters, to the nearest tenths place?
Answer:
answer is 150
Step-by-step explanation:
hope it helps
The ___________ of a numerical set of data is the value that occurs most frequently.
PLEASE HELP ME!!!! I WILL MARK BRAINLIEST
find the length of the third side!
THANK YOU!
Answer:
The answer is 7
Step-by-step explanation:
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
for our purposes we must rearrange this problem to find one of the sides, not the hypotenuse
[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]
plugging in our numbers we get
[tex] {25}^{2} - {24}^{2} = 49[/tex]
[tex] \sqrt{49} = 7[/tex]
Ten years ago, Scott bought a board game for $30. That board game has now increased it's value by 83%.
100
What would be the price of that game now?
Answer:54.9
Step-by-step explanation:
Help please !!!!!!!!!!!!!!!!!!
Answer:
n = 59
Step-by-step explanation:
There's definitely a better way, i just did math randomly but here goes:
First i squared both sides. which gets you:
[tex](\sqrt{n+5}-\sqrt{n-10} )(\sqrt{n+5}-\sqrt{n-10} )=1^2\\\\n+5 -2\sqrt{(n+5)(n-10)} +n-10=1[/tex]
Cleaning this up gives you:
[tex]2n-5 -2\sqrt{(n+5)(n-10)}=1[/tex]
Now move everything to the other side so we can square this equation again
[tex]-2\sqrt{(n+5)(n-10)}=-2n+6[/tex]
Divide both sides by -2
[tex]\sqrt{(n+5)(n-10)}=n-3[/tex]
square again
[tex](n+5)(n-10)=(n-3)^2\\n^2-5n-50=n^2-6n+9[/tex]
subtract n^2 from both sides, add 6n, and add 50
[tex]-5n-50=-6n+9\\n-50 = 9\\n=59[/tex]
Put this back into the equation and you get a correct answer!
sqrt(59 + 5) = sqrt(64) = 8
sqrt(59-10) = sqrt(49) = 7
8 - 7 = 1
vTo estimate the parameter stated in question 2, the following was done. A simple random sample of 22 students who attended a review session was selected, and the mean grade on test 7 for this sample of 22 students was 85 with a standard deviation of 9.8. An independent simple random sample of 47 students who did not attend a review session was selected, and the mean grade on test 7 was 77 with a standard deviation of 10.6. If appropriate, use this information to calculate and interpret a 90% confidence interval for the difference in the mean grade on test 7 for all students who attended a review session and for all students who did not attend a review session.
Answer:
The 90% confidence interval for the difference in the mean grade on test 7 for all students who attended a review session and for all students who did not attend a review session is (3.7, 12.3).
Step-by-step explanation:
Before building the confidence interval, we need to understand the central limit theorem and subtraction between normal variables.
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 a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
Subtraction between normal variables:
When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.
A simple random sample of 22 students who attended a review session was selected, and the mean grade on test 7 for this sample of 22 students was 85 with a standard deviation of 9.8.
This means that:
[tex]\mu_A = 85, s_A = \frac{9.8}{\sqrt{22}} = 2.09[/tex]
An independent simple random sample of 47 students who did not attend a review session was selected, and the mean grade on test 7 was 77 with a standard deviation of 10.6.
This means that:
[tex]\mu_N = 77, s_N = \frac{10.6}{\sqrt{47}} = 1.55[/tex]
Distribution of the difference in the mean grade on test 7 for all students who attended a review session and for all students who did not attend a review session.
Mean:
[tex]\mu = \mu_A - \mu_N = 85 - 77 = 8[/tex]
Standard deviation:
[tex]s = \sqrt{s_A^2 + s_B^2} = \sqrt{2.09^2 + 1.55^2} = 2.6[/tex]
Confidence interval:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.
Now, find the margin of error M as such
[tex]M = zs[/tex]
So
[tex]M = 1.645*2.6 = 4.3[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 8 - 4.3 = 3.7
The upper end of the interval is the sample mean added to M. So it is 8 + 4.3 = 12.3
The 90% confidence interval for the difference in the mean grade on test 7 for all students who attended a review session and for all students who did not attend a review session is (3.7, 12.3).
Which expression is equivalent to 6 (3x + 4)?
18.1 + 24
183 +4
92 +10
91 +4
Pls hurry
which measurement is closest to the area of the shaded region in square inches
1) The lines A and B are parallel. Identify a pair of corresponding angles?
A) ∠ 1 and ∠ 6
B) ∠ 3 and ∠ 8
C) ∠ 6 and ∠ 5
D) ∠ 5 and ∠7
2) If 25 measures 110°, what is the measure of ∠ 2?
-0)
A) 55°
B) 70°
C) 110°
D) 160°
Neesha uploaded a funny video of her dog onto a website. The relationship between the elapsed
time, d, in days, since the video was first uploaded, and the total number of views V (d), that the
video received is modeled by the function V (d) = 31.5d.
How many views will the video receive after 5 days? Round your answer to the nearest whole
number.
Answer:
the answer is 2
Step-by-step explanation:
Which best describes the numbers satisfying the inequality x less-than 7?
A all numbers greater than 7
B all numbers less than 7
C all numbers greater than and including 7
D all numbers less than and including 7
Answer:
B all numbers less than 7
Step-by-step explanation:
x < 7
B all numbers less than 7
----------------------
< is less than
≤ is less than or equal
> is greater than
≥ is greater than or equal
Answer:
b XD
Step-by-step explanation:
A parabola y=x^2 is what type of function?
an even function
an odd function
an asymmetric function
a one to one function
Step-by-step explanation:
The parabola has a line of symmetry at x=0 so that means we can reflect the function across the y axis and it will remain unchanged so the answer is even function.
An object travels 8 miles in 20 minutes at a constant speed. What is the object's
speed in miles per hour?
A. 32
B. 28
O
C. 24
us
NE
US
An object travels 8 miles in 20 minutes what is the objects speed in miles per hour
a hamburger shop sold 360 hamburgers and a number of cheeseburgers were sold was 3 times how many were sold on Sunday?
Answer:
1080 cheeseburgers
Step-by-step explanation:
If the number of cheeseburgers are three times as many as the hamburgers, then 3x360, which is the hamburgers = 1080
I do not know what to do with the Sunday information, so perhaps the question is not complete.
Hope this helps!
Can someone help me with number 7 and 13 ? I graduate in a week an have to have this work done or I will not be graduating
a(-6) = -42 what is a?
Answer:
it is 7
Step-by-step explanation:
PLS HELP ME ASAP! FOR 15 POINTS AND DONT GIVE ME A LINK
Select the correct answer.
What is the solution to this system of equations?
x − 2y = 15
2x + 4y = -18
A. x = 1, y = -6
B. x = 1, y = -7
C. x = 3, y = -6
D. x = 3, y = -7
Answer:
C. x = 3, y = -6 is the answer.
Step-by-step explanation:
1. Isolate x for x = 2y = 15 -> x = 15 + 2y
2. Substitute x = 15 + 2y -> [2 (15 + 2y) + 4y = -18]
3. Simplify -> [30 + 8y = -18)
4. Isolate y for 30 + 8y = -18 -> y = -6
5. For x = 15 + 2y, substitute y = -6 -> x = 15 + 2(-6)
So, x = 3 and y = -6 are the solutions to this system of equations.
Hope this helps! :)
And also you should use Symbolab, it gives all the answers and steps
If you invest $2500 at a rate of 3.5%, how much money will be in the
account after 10 years if it is compounded yearly?
Answer:
A = $3,526.50
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = [tex]\frac{R}{100}[/tex]
r = [tex]\frac{3.5}{100}[/tex]
r = 0.035 rate per year,
Then solve the equation for A
A = P(1 + [tex]\frac{r}{n}[/tex])nt
A = 2,500.00(1 + [tex]\frac{0.035}{1}[/tex])(1)(10)
A = 2,500.00(1 + 0.035)(10)
A = $3,526.50
Hence:
The total amount of over 10 years is $3,526.50.
18. A square board has an area of 95.63 square inches. Which is
closest to the length of one side of the board?
F 10 in
G9 in
H 48 in
) 24 in
Answer:
10 in
Step-by-step explanation:
Convert. 2/3and 4/6 into like fraction
Answer:
Answer given below
Step-by-step explanation:
When we calculate the LCM, you get it as 6.
So both the fractions should have a denominator 6.
For that, in 2/3 we should multiply both numerator and denominator with 2 so that denominator becomes 6.
When we convert to like fraction, 2/3 becomes 4/6.
Now both the fractions have common denominator
Hope it helps.
ON A RECENT MATH TEST MARY SCORED 14 OF 16 CORRECT. JOHN SCORED 23 OF 26AND JOE SCORED 9 OF 11 CORRECT. WHO ACHIEVED THE HIGHER SCORE?
Answer:
I think the answer is mary
Answer:
John
Step-by-step explanation:
Mary: 87%-88% (0.875)
John: 88% (0.884)
Joe: 81% (0.818)
How long would it take a cruise ship to travel 156 miles at an average speed of 26 mph
Answer:
The answer is 6 hours
Step-by-step explanation:
26x6=156
Write an algebraic expression for each word expression.
A number, n, divided by 9
Answer:
n/9
Step-by-step explanation:
Answer:
n/9
Step-by-step explanation:
2. A serving of soup is 275 milliliters.
Will 6 servings of soup fit into a jar that holds up to 1.5 liters of liquid? Explain.
Answer:
No, the 6 servings of soup is 1675 milliliters, which is greater than 1.5 liters.
Step-by-step explanation:
So we already know that 1 surving of soup is 275 milliliters.
We have 6 survings of this soup.
We need to see if these 6 servings will fit in a 1.5 liter jar.
To find the total amount of mililers, we must multipy this by 6:
275*6
=
1650
Remember that 1 liter is equal to 1000 mililiters. To find the 1650 mililliters in liters, we must divide by 1000:
1650/1000
=
1.65
This number is greater than 1.5 liters, which is how much soup the jar can store.
So the answer is no, the 6 servings of soup cannot fit in the jar.