Answer: About 63 in²
Step-by-step explanation:
Area of circle = π · r²
r = radius lengthπ ≈ 3.14Area of large pizza:
[tex]\pi *r^{2} =3.14*6^{2} =3.14*36=113.04[/tex]
Area of small pizza:
[tex]\pi *r^{2} =3.14*4^{2} =3.14*16=50.24[/tex]
Difference in area:
[tex]113.04-50.24=62.8[/tex]
How many different arrangements of 5 letters can be formed if the first letter must be W or K (repeats of letters are allowed)?
There are ___ different 5-letter combinations that can be formed.
(Simplify your answer.)
Answer:
2.5
Step-by-step explanation:
i had it
7 people can pave a driveway in 9 hours. how long will it take for 11 people to pave a driveway?
Answer:
Step-by-step explanation:
If 7 people can pave the drive in 9 hours, we can use that information in equation form to find out how long it would take 1 person to pave the drive alone.
[tex]\frac{7}{x}=\frac{1}{9}[/tex] and cross multiply
x = 63. That means that it would take 1 person, working alone, 63 hours to get the job done. If that be the case, and assuming that the 2 added people work at the same rate as do the first 9, we simply divide that time alone into 11 parts.
It would take 11 people [tex]5.\bar{27}[/tex] hours to pave that driveway.
PLEASE HELP FAST!! WILL GIVE FIRST PERSON THAT RESPONDS A HIGH RATING AND POINTS!
Answer:
Step-by-step explanation:
3
find area and perimeter of shaded area and the perimeter is not 96
Answer:
picture not clear what is the length
I need you guy’s help answer thanks so much
Answer:
D
Step-by-step explanation:
inverse just means opposite so if its shown dividing it first then adding, then the inverse is multiplying then subtracting
Find the 97th term of the arithmetic sequence 17, 26,35,...
Hy mate!!
The answer of your question is in the attachment..!!
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Hope this answer helps you..!!
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Select it as the BRAINLIEST..!!
a) Everyone on the team talks until the entire team agrees on one decision. O b) Everyone on the team discusses options and then votes. O c) The team passes the decision-making responsibility to an outside person. O di The team leader makes a decision without input from the other members.
Answer:
a) Everyone on the team talks until the entire team agrees on one decision.
Step-by-step explanation:
Option B consists of voting and not everyone would like the outcome. Option C is making an outsider the decision maker, which can't be helpful since he / she won't have as strong opinions as the team itself. Option D is just plain wrong as it defeats the purpose of team work and deciding as one team. So, I believe option A makes the most sense
The best basketball player
Answer:
c
Step-by-step explanation:
hope it helps!!!!!!!!!!!!!!
Please show work. The way that you solve for surface area and vol confuse me.
Answer:
search up the formula
Step-by-step explanation:
1/6+4/18 in simplest form
Answer:
7/18
Step-by-step explanation:
1/6 x 3 = 3/18
3/18 + 4/18 = 7/18
Answer:
7/18
Step-by-step explanation:
Make the denominators the same!
You can turn 1/6 into 3/18 by multiplying the numerator and denominator by 3. Then you add the numerators of 3/18 and 4/18 together to get 7/18.
It can't be simplified any further :)
The weights of items produced by a company are normally distributed with a mean of 4.5 ounces and a standard deviation of 0.3 ounce. a. What is the probability that a randomly selected item from the production will weigh at least 4.14 ounces? b. What percentage of the items weighs between 4.8 and 5.04 ounces? c. Determine the minimum weight of the heaviest 5% of all items produced. d. If 27,875 items of the entire production weigh at least 5.01 ounces, how many items have been produced?
Answer:
The right solution is:
(a) 0.8849
(b) 12.28%
(c) 4.9935
(d) 28004
Step-by-step explanation:
Given:
Mean,
= 4.5
Standard deviation,
= 0.3
(a)
P(x > 4.14)
As we know,
⇒ [tex]z = \frac{4.14-4.5}{0.3}[/tex]
[tex]=-1.20[/tex]
then,
⇒ [tex]P(z>-1.20) = P(z<1.20)[/tex]
[tex]=0.8849[/tex]
(b)
P(4.8 < x < 5.04)
= [tex]P(\frac{4.8-4.5}{0.3} < \frac{x-\mu}{\sigma} < \frac{5.04-4.5}{0.3} )[/tex]
= [tex]P(1<z<1.80)[/tex]
= [tex]P(z<1.80)-P(z<1)[/tex]
= [tex]0.9641 -0.8413[/tex]
= [tex]0.1228[/tex]
or,
= [tex]12.28[/tex] (%)
(c)
P(x > x) = 0.05
z value will be,
= 1.645
⇒ [tex]1.645 = \frac{x - 4.5}{0.3}[/tex]
[tex]x = 4.9935[/tex]
(d)
P(x < 5.01)
⇒ [tex]z = \frac{x- \mu}{\sigma}[/tex]
[tex]=\frac{5.01-4.5}{0.3}[/tex]
[tex]=1.7[/tex]
P(z < 1.70) = 0.9554
⇒ [tex]n = \frac{27875}{0.9954}[/tex]
[tex]=28004[/tex]
Joe used a project management software package and has determined the following results for a given project.: Expected completion time of the project = 22 days Variance of project completion time = 2.77 What is the probability of completing the project over 20 days?
Answer:
0.1151 = 11.51% probability of completing the project over 20 days.
Step-by-step explanation:
Normal Probability Distribution
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
Expected completion time of the project = 22 days.
Variance of project completion time = 2.77
This means that [tex]\mu = 22, \sigma = \sqrt{2.77}[/tex]
What is the probability of completing the project over 20 days?
This is the p-value of Z when X = 20, so:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{20 - 22}{\sqrt{2.77}}[/tex]
[tex]Z = -1.2[/tex]
[tex]Z = -1.2[/tex] has a p-value of 0.1151.
0.1151 = 11.51% probability of completing the project over 20 days.
Determine whether the following individual events are independent or dependent. Then find the probability of the combined event.
Randomly drawing and immediately eating two red pieces of candy in a row from a bag that contains red pieces of candy out of pieces of candy total.
Answer:
Dependent event
[tex]P(Red = 2) = \frac{5}{588}[/tex]
Step-by-step explanation:
Given
[tex]Total = 49[/tex]
[tex]Red = 5[/tex]
Solving (a): Are the events dependent?
Yes, they are.
When the first red candy is selected and eaten, the total number of candies reduced to 48 and the number of red candies also reduced to 4.
So, the probability of selecting a 2nd candy is dependent on the first candy selected.
Solving (b): P(Red = 2)
This is calculated as:
[tex]P(Red = 2) = P(Red) * P(Red | Red)[/tex]
The first selection has the following probability:
[tex]P(Red) = \frac{Red}{Total}[/tex]
[tex]P(Red) = \frac{5}{49}[/tex]
The second selection has the following probability:
[tex]P(Red|Red) = \frac{Red - 1}{Total - 1}[/tex]
[tex]P(Red|Red) = \frac{5 - 1}{49 - 1}[/tex]
[tex]P(Red|Red) = \frac{4}{48}[/tex]
So, we have:
[tex]P(Red = 2) = P(Red) * P(Red | Red)[/tex]
[tex]P(Red = 2) = \frac{5}{49} * \frac{4}{48}[/tex]
Reduce fraction
[tex]P(Red = 2) = \frac{5}{49} * \frac{1}{12}[/tex]
Multiply
[tex]P(Red = 2) = \frac{5}{588}[/tex]
A 10-item statistics quiz was given to 30 students. The table below gives the scores received along with the corresponding frequencies.
A 2-column table with 6 rows. Column 1 is labeled score with entries 5, 6, 7, 8, 9, 10. Column 2 is labeled Frequency with entries 1, 2, 5, 5, 7, 10.
What was the mean score on the quiz?
7.5
8.5
9
10
Answer:
Should be (B).
8.5
ED2021
Answer: B
Step-by-step explanation:
A route up a mountain is 20 Km long. john followed this route at an average speed of xkm/h. write down an expression in terms of x,for the number of hours he took to walk up the mountain.
Answer:
20/x
Step-by-step explanation:
speed = distance /time
x km/h is speed
20 km is distance
x= 20/t
t= 20/x
I need to know the answer ASAP
Answer:
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
The numerical coefficient is sqrt(8/3), so all you have eliminated is D.
Now you have to consider the literal all by itself.
sqrt(x^2)/sqrt(x) can be written as (sqrt(x^2/x)) = sqrt(x)
x^2 when divided by x leaves x
another way of looking at it is sqrt(x)*sqrt(x) / sqrt(x) = sqrt(x)
So the answer is sqrt(8/3 * x)
A toy rocket is shot vertically into the air from a launching pad 9 feet above the ground with an initial velocity of 88 feet per second. The height h, in feet, of the rocket above the ground at t seconds after launch is given by the function
h(t) - 16^2 + 88ft +9. How long will it take the rocket to reach its maximum height? What is the maximum height?
The rocket reaches its maximum height at ____ second(s) after launch.
(Simplify your answer.)
Answer:
Step-by-step explanation:
The position function for this is:
[tex]s(t)=-16t^2+88t+9[/tex]. We can use this equation to find the position (or height) of the rocket at ANY TIME during its flight. I could find out the height of the rocket at 3 seconds by plugging in a 3 for t and solving for s(t); I could find the height of the rocket at 12 seconds by plugging in a 12 for t and solving for s(t), etc.
The first derivative of position is velocity:
v(t) = -32t + 88.
If we are looking for the time the rocket reaches it max height, we need to remember from physics class that this happens when the velocity of the object is at 0. We set the velocity equation equal to 0 then and solve for t:
0 = -32t + 88 and
-88 = -32t so
t = 2.75 seconds. This means that 2.75 seconds after the rocket is launched, it reaches its max height. In order to find what that max height is we plug 2.75 into the position equation for t and solve:
[tex]s(2.75)=-16(2.75)^2+88(2.75)+9[/tex] to get that
s(2.75) = 130
The max height is 130 feet and it reaches this point at 2.75 seconds into its motion.
PLS HELP
If f(x) = x2 -1, what is the equation for f–1(x)?
We have a function,
[tex]f(x)=x^2-1[/tex]
and we are asked to find its inverse function.
An inverse function essentially gets you the original value that was dropped into a function.
For example,
If I put 5 into [tex]f(x)[/tex] I will get 24. Now If I take 24 and put it into the inverse function I have to get number 5 back.
The way to determine the inverse function swap the x and the [tex]f(x)[/tex], then solve for [tex]f(x)[/tex],
[tex]x=f(x)^2-1[/tex]
[tex]f(x)^2=x+1[/tex]
[tex]f(x)=\pm\sqrt{x+1}[/tex]
Of course the notation demands that the obtained function be called,
[tex]f^{-1}(x)=\pm\sqrt{x+1}[/tex]
Hope this helps :)
Nine Increased by the product of a number and 4 is greater than or equal to -15
Use the variable y for the unknown number
Answer:
9+4y ≥ -15
y ≥ -6
Step-by-step explanation:
Nine Increased by the product of a number
9+4y
is greater than or equal to -15
9+4y ≥ -15
Subtract 9 from each side
9-9+4y ≥ -15-9
4y ≥ -24
Divide by 4
4y/4 ≥ -24/4
y ≥ -6
The graph below represents which of the following functions?
Answer:
hiuu ui9i io9
Step-by-step explanation:
iu9uj k
Find x on this triangle
Answer:
I didn't find the answer in the options
the height of the bigger triangle is 11√6/√3 = 11√2
x = 11√2 × √2 = 11×2 = 22
Answered by GAUTHMATH
What is the largest value of A according to the division operation given above?
A)300 B)314 C)400 D)450
Answer:
Hello,
Answer B
Step-by-step explanation:
Since A=15*20+B and B<15
The max for B is 14
==> 300+14=314
Find a12 for the geometric sequence -4, -2, -1, -1/2, ...
9514 1404 393
Answer:
-1/512
Step-by-step explanation:
The first term is -4, and the common ratio is -2/-4 = 1/2. Then the n-th term is ...
an = -4·(1/2)^(n-1)
and the 12th term is ...
a12 = -4(1/2)^(12 -1) = -4/2048
a12 = -1/512
Using a profit P1 of $5,000, a profit P2 of $4,500, and a profit P3 of $4,000, calculate a 95% confidence interval for the mean profit per customer that SoftBus can expect to obtain. (Round your answers to one decimal place.) Lower Limit Upper Limit
Answer:
Confidence Interval
Lower Limit = $4,233.3
Upper Limit = $4,766.7
With 95% confidence, the mean profit per customer that SoftBus can expect to obtain is between $4,233.30 and $4,766.7 based on the given sample data.
Step-by-step explanation:
The z-score of 95% = 1.96
Profit Mean Square Root
Difference of MD
P1 $5,000 $500 $250,000
P2 4,500 0 0
P3 4,000 -500 $250,000
Total $13,500 $500,000
Mean $4,500 ($13,500/3) $166,667 ($500,000/3)
Standard Deviation = Square root of $166,667 = 408.2
Margin of error = (z-score * standard deviation)/n
= (1.96 * 408.2)/3
= 266.7
= $266.7
Confidence Interval = Sample mean +/- Margin of error
= $4,500 +/- 266.7
Lower Limit = $4,233.3 ($4,500 - $266.7)
Upper Limit = $4,766.7 ($4,500 + $266.7)
Sharla invests $275 in a simple interest bearing account for 16 years. The annual interest rate is 8%. Using the simple
interest formula, / -Prt, how much interest will Sharla's initial investment earn over the 16 year period?
$297
$319
$352
$627
Answer:
352
Step-by-step explanation:
I = PRT where P is the principle, I is the interest rate, T is the time
I = 275 ( .08) ( 16)
I = 352
A farmer plants the same amount every day, adding up to 4 1/3 acres at the end of the year. If the year is 5/8 over, how many acres has the farmer planted?
Answer:
5/6
Step-by-step explanation:
12/3 × 1/2 = 5/6
hope it helps
please mark Brainliest
[tex]2i+3x=4-ix[/tex]
Show work.
No wrong answers or you will be reported. I will mark Brainliest! Thank you!
Answer:
Step-by-step explanation:
I am assuming i is the imaginary number:
Factor:
(3 + i)x - (4-2i) = 0.
In order for this to equal 0, x must be equal to 1-i.
I don't want to be reported to so take my word for it.
Also I plugged it into wolfram alpha so if it is wrong, blame the most powerful math equation solver available on the internet.
Using BTS he properties, find the unit's digit of the cube of each of the following numbers
5x-22 3x +105 x minus 22 3 X + 10
-291x+10
:)))))) Have fun
use induction method to prove that 1.2^2+2.3^2+3.4^2+...+r(r+1)^2= n(n+1)(3n^2+11n+10)/12
Base case (n = 1):
• left side = 1×2² = 4
• right side = 1×(1 + 1)×(3×1² + 11×1 + 10)/12 = 4
Induction hypothesis: Assume equality holds for n = k, so that
1×2² + 2×3² + 3×4² + … + k × (k + 1)² = k × (k + 1) × (3k ² + 11k + 10)/12
Induction step (n = k + 1):
1×2² + 2×3² + 3×4² + … + k × (k + 1)² + (k + 1) × (k + 2)²
= k × (k + 1) × (3k ² + 11k + 10)/12 + (k + 1) × (k + 2)²
= (k + 1)/12 × (k × (3k ² + 11k + 10) + 12 × (k + 2)²)
= (k + 1)/12 × ((3k ³ + 11k ² + 10k) + 12 × (k ² + 4k + 4))
= (k + 1)/12 × (3k ³ + 23k ² + 58k + 48)
= (k + 1)/12 × (3k ³ + 23k ² + 58k + 48)
On the right side, we want to end up with
(k + 1) × (k + 2) × (3 (k + 1) ² + 11 (k + 1) + 10)/12
which suggests that k + 2 should be factor of the cubic. Indeed, we have
3k ³ + 23k ² + 58k + 48 = (k + 2) (3k ² + 17k + 24)
and we can rewrite the remaining quadratic as
3k ² + 17k + 24 = 3 (k + 1)² + 11 (k + 1) + 10
so we would arrive at the desired conclusion.
To see how the above rewriting is possible, we want to find coefficients a, b, and c such that
3k ² + 17k + 24 = a (k + 1)² + b (k + 1) + c
Expand the right side and collect like powers of k :
3k ² + 17k + 24 = ak ² + (2a + b) k + a + b + c
==> a = 3 and 2a + b = 17 and a + b + c = 24
==> a = 3, b = 11, c = 10
Which of the following is equivalent to 5 + 5x > 8(x-1) ?
-3x > -12
3x 13
3x < 6
-4X > -12
5+5x>8(x-1)
5+5x>8x-8
5x-8x>-8+5
-3x>-3
5 + 5x > 8(x-1) is equivalent to -3x > -13.
How to estimate the equivalent function to 5 + 5x > 8(x-1) ?Let, the expression be 5 + 5x > 8(x-1)
By applying Multiplicative Distribution Law, we get
5 + 5x > 8x - 8
Rearrange unknown terms to the left side of the equation, then
5x - 8x > -8 - 5
Combine like terms, we get
-3x > -8 - 5
Calculate the sum or difference
-3x > -13
Divide both sides of the inequality by the coefficient of the variable, then we get
[tex]$x < \frac{-13}{-3}$[/tex]
Determine the sign for multiplication or division:
[tex]$x < \frac{13}{3}$[/tex]
Therefore, the correct answer is -3x > -13.
Complete question:
Which of the following is equivalent to 5 + 5x > 8(x - 1)?
-3x > -12
3x < 13
3x < 6
-4x > -12
To learn more about algebraic expression
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