Answer:
[tex]\displaystyle 120°[/tex]
Step-by-step explanation:
Again, this an isosceles triangle, therefore the centre base angles are congruent at 60°. This means you double 60° to get 120°.
I am joyous to assist you at any time.
look at the picture. Will award brainliest for best answer (with explanation)!
Answer: x= 3π/2
Hope this helps.... Stay safe and have a great rest of the weekend!!! :D
What is the x-intercept of the linear function y = 1/3x +1
Answer:
the x intercept is -3
or (-3,0)
Step-by-step explanation:
the x intercept is the point where the line crosses the x axis. The y value is zero, while x is a number.
Therefore, we can make y equal 0 in the function y=1/3x+1, since the point will pass through the line.
0=1/3x+1
subtract 1 from both sides
-1=1/3x
multiply by 3
-3=x
Therefore the x intercept is -3.
As a point is (-3,0)
hope this helps!
The time needed for passengers to board the Twisting Thunder roller coaster is skewed right with a mean of 49
seconds and a standard deviation of 7.1 seconds. The time to board the Spiral Wonder roller coaster is skewed left
with a mean of 44.8 seconds and a standard deviation of 3.7 seconds. What is the probability in a random sample of
32 times loading Twisting Thunder and 36 times loading Spiral Wonder that the mean time for Twisting Thunder is
less than that of Spiral Wonder?
Answer:
0.1416
Step-by-step explanation:
The probability in a random sample of 32 times loading Twisting Thunder and 36 times loading Spiral Wonder is 0.9574.
What is normal a distribution?It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.
The time needed for passengers to board the Twisting Thunder roller coaster is skewed right with a mean of 49 seconds and a standard deviation of 7.1 seconds.
The probability in a random sample of 32 will be
[tex]z = \dfrac{x - \mu}{\sigma}\\\\z = \dfrac{32 - 49}{7.1}\\\\z = -2.394[/tex]
P-value from Z-Table:
P(x<32) =
The time to board the Spiral Wonder roller coaster is skewed left with a mean of 44.8 seconds and a standard deviation of 3.7 seconds.
The probability in a random sample of 36 will be
[tex]z = \dfrac{x - \mu}{\sigma}\\\\z = \dfrac{36- 44.8}{3.7}\\\\z = -2.37838[/tex]
P-value from Z-Table:
P(x<36) = 0.0086945
The probability in a random sample of 32 times loading Twisting Thunder and 36 times loading Spiral Wonder will be
[tex]\rm \dfrac{P(x < 32)}{P(x < 36)} = \dfrac{0.0083246}{0.0086945} = 0.9574[/tex]
More about the normal distribution link is given below.
https://brainly.com/question/12421652
The Capital Asset Pricing Model (CAPM) is a financial model that assumes returns on a portfolio are normally distributed. Suppose a portfolio has an average annual return of 15.1% (i.e., an average gain of 15.1%) with a standard deviation of 35%. A return of 0% means the value of the portfolio doesn't change, a negative return means that the portfolio loses money, and a positive return means that the portfolio gains money. (Round your answers to two decimal places.)
a.) What percent of years does this portfolio lose money, i.e. have a return less than 0%?
b.) What is the cutoff for the highest 15% of annual returns with this portfolio?
Answer:
a) the required percentage is 32.64%
b) the cutoff for the highest 15% of annual returns with this portfolio is 49.02%
Step-by-step explanation:
Given that;
mean μ = 14.7 %
standard deviation σ =33%
a.) What percent of years does this portfolio lose money, i.e. have a return less than 0%?
P( portfolio lose money )
= P( x< 0) P( 0-14.7 / 33 )
P( Z < -0.45 ) = 0.3264 ≈ 32.64%
Therefore, the required percentage is 32.64%
b)
the cutoff for the highest 15% of annual returns with this portfolio will be:
P( X ≥ x) = 15%
1 - P(X ≤ x) = 0.15
P(X ≤ x) = 0.85
P(Z ≤ x-14.7 / 33 ) = 0.85 ----------let this be equation 1
form tables, P(Z ≤ 1.04) = 0.85 -----LET THIS BE EQU 2
from the equations;
(x-14.7 / 13 ) = 1.04
33 × 1.04 = x-14.7
34.32 = x-14.7
x = 34.32 + 14.7
x = 49.02%
Therefore, the cutoff for the highest 15% of annual returns with this portfolio is 49.02%
At a bicycle shop, all the bicycles are on sale for $25 off the regular price. If p represents the regular price in dollars of a bicycle, which expression gives the sale price in dollars?
A. 25p
B. – 25p
C. p – 25
D. p + 25
Answer:
C
Step-by-step explanation:
P-25
can anyone help me pls
Answer:
405 calories
Step-by-step explanation:
All we have to do is:
9 × 45
I hope this helps!
Help please I will Brainly
Answer:
6 cm² is correct answer
because there aren't any halves, mostly quarters, we won't count quarters or lesser than that.
Express x^2 + 4x - 7 in the form (x + a)^3 - b where a and b are integers
Answer:
(x+2)² - 11
Step-by-step explanation:
Regroup terms
x² + 4x - 7
(x² + 4x) - 7
Complete the square
coefficient of x term: 4
divide coefficient in half: 2
square it: 2²
use 2² to complete the square:
(x² + 4x) - 7 = (x² + 4x + 2²) - 2² - 7 = (x+2)² - 11
The mean amount purchased by a typical customer at Churchill's Grocery Store is $27.50 with a standard deviation of $7.00. Assume the distribution of amounts purchased follows the normal distribution. For a sample of 68 customers, answer the following questions
a. What is the likelihood the sample mean is at least $30.00?
b. What is the likelihood the sample mean is greater than $26.50 but less than $30.00?
c. Within what limits will 90 percent of the sample means occur?
Answer:
a) 0.0016 = 0.16% probability that the sample mean is at least $30.00.
b) 0.8794 = 87.94% probability that the sample mean is greater than $26.50 but less than $30.00
c) 90% of sample means will occur between $26.1 and $28.9.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
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.
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.
In this question, we have that:
[tex]\mu = 27.50, \sigma = 7, n = 68, s = \frac{7}{\sqrt{68}} = 0.85[/tex]
a. What is the likelihood the sample mean is at least $30.00?
This is 1 subtracted by the pvalue of Z when X = 30. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem, we have that:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{30 - 27.5}{0.85}[/tex]
[tex]Z = 2.94[/tex]
[tex]Z = 2.94[/tex] has a pvalue of 0.9984
1 - 0.9984 = 0.0016
0.0016 = 0.16% probability that the sample mean is at least $30.00.
b. What is the likelihood the sample mean is greater than $26.50 but less than $30.00?
This is the pvalue of Z when X = 30 subtracted by the pvalue of Z when X = 26.50. So
From a, when X = 30, Z has a pvalue of 0.9984
When X = 26.5
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{26.5 - 27.5}{0.85}[/tex]
[tex]Z = -1.18[/tex]
[tex]Z = -1.18[/tex] has a pvalue of 0.1190
0.9984 - 0.1190 = 0.8794
0.8794 = 87.94% probability that the sample mean is greater than $26.50 but less than $30.00.
c. Within what limits will 90 percent of the sample means occur?
Between the 50 - (90/2) = 5th percentile and the 50 + (90/2) = 95th percentile, that is, Z between -1.645 and Z = 1.645
Lower bound:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]-1.645 = \frac{X - 27.5}{0.85}[/tex]
[tex]X - 27.5 = -1.645*0.85[/tex]
[tex]X = 26.1[/tex]
Upper Bound:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]1.645 = \frac{X - 27.5}{0.85}[/tex]
[tex]X - 27.5 = 1.645*0.85[/tex]
[tex]X = 28.9[/tex]
90% of sample means will occur between $26.1 and $28.9.
Solve the system by substitution.
y = -5x + 40
Y = 32
Submit Answer
Answer:
The answer is (-8/5,32) in point form or x=-8/5,y=32
Step-by-step explanation:
Solve for the first variable in one of the equations, then substitute the result into the other equation.
If a song is 4 minutes and 2 seconds long and I play it 115 times how long is that in hours?
Explain Please
The song: Drivers License
Songwriter/ singer: Olivia Rodrigo
Answer:
12 hours and 50 minutes
Step-by-step explanation:
You take the 4:02 and divide it by 60 (60 seconds are in a minute) and then you take the answer you got and multiply by 115 and you get 11.80 so you take the 80 and round it to 12 and then you have 50 left over so its 12 hrs and 50 mins
Answer:
7 hours, 40 min
Step-by-step explanation:
4 minutes is 1/15 of an hour
115 x 1/15 = 7 2/3
If it costs $1.40 per square foot to install the garden, what is the cost for plan A? Plan B?
Answer:
Step-by-step explanation:
I NEED HELP PLEASE
which fraction is equivalent to -3/2
3/-2
-(-3/2)
-(3/-2)
-3/-2
Answer:
A
Step-by-step explanation:
You know from class that 23 people can comfortably fit standing in 32 square feet. You attend an outdoor concert that has a standing area for observers that is 450 feet by 650 feet. How many people can comfortable stand in this observation area?
A) 2,102 people
B) 21,027 people
C) 210,234 people
D) 2,102,340 people
Answer:
C
Step-by-step explanation:
To do this first find how many square feet are in the area. You can do this by multiplying 450 * 650 = 292500.
Next, divide by 32 to find how many sections of 23 people there are.
292500 / 32 = 9140.625
Lastly, multiply by 23 to find how many people can stand in the area.
9140.625 * 23 = 210,234.375 which rounds to C. 210,234 people
38.72 X 10 to the power of 4
HELP!!!!!! Due in 30 mins
Answer: Bianca is right.
Step-by-step explanation: f(x) and g(x) means the function of x(input) which is basically y(output). You know they are not the same because the 3 is separate in the first equation. You can pick any ordered pair for an input and output, I chose (4,5). You replace all x’s with 4 and y’s with 5. Solve by using order of operations and you’ll be able to back up your answer. [f(x): 5= 6 g(x): 5= 3.5]
multiply 8 by g, then divide 7 by the result
Do not simplify any part of the expression. HELP A GIRL OUT PLEASE
Answer:
8*g = 8g
then,
7/8g
If 2x+y=10 and y=3x find the value of both x and y
PLS PUT THE CORRECT ANSWER AND SHOW HOW YOU DID IT PLS :(
5-7(9b-3d). D=3 b=9
Answer:
Subsitute (nothing hard)
5-7(9*9-3*3)
Combine
5-7(72)
Distibute left to right
-7*72= -504
5-504
-499
One side of a triangle is 3 times the second side. The third side is 17 feet longer than the second side. The perimeter of a
triangle is 52 feet. Find the length of each side.
Provide your answer below:
Answer:
Step-by-step explanation:
lets have one side =a
P=3a+a+(17+a)=52
P=5a+17=52
5a=52-17
5a=35
a=7
second side=21
third side=24
HELP!
If the interest earned on an account after 2 years is $15, how much would it be after
10 years? Why?
Answer: $75
Step-by-step explanation: If interest earned on an account in 2 years is $15, then after 10 years, the interest would be $75.
We can know this because, if we divide $15 by 2, we get the amount of interest the account makes in 1 year.
15/2 = $7.50. The account makes $7.50 interest pear year.
We want to know how much interest the account will make in 10 years, simply multiply 7.50 by 10.
$7.50 x 10 = $75 in 10 years.
Write the equation of the line in slope-intercept form (y = mx +b): 3y - 12x = 15
Answer:
y = 4x + 5
Step-by-step explanation:
3y - 12x = 15
Add 12x to both sides.
3y = 12x + 15
Divide by 3 to isolate y.
y = 4x + 5
Answer:
ACTUALLY IT'S, y=4x-5
Step-by-step explanation:
12x-3y=15 - Get y alone
-12x =12x
-3y=-12x+15
-3y=-12x+15 - Divide.
__________
-3 -3
y=12/3x-15/3 - Distribute division. Negative over a negative is positive. Positive over a negative is a negative.
y=4x-5 - Reduce fractions.
What is the length of the hypotenuse to the nearest hundredth place in the diagram
below?
570
4cm
A 2.60
B 6.16
C 4.77
D 7.34
What was the answer
Answer:D
Step-by-step explanation:
1/5,0,-1/5,what two answers comes next?
Graph the opposite of the opposite of 10 on the number line. Click on the number line to
identify the number's location.
Answer:
the opposite of 10 is -10 that's the best i could do for ya my bad hope this still helps.
Step-by-step explanation:
Answer:-10
Step-by-step explanation:
The lock is numbered from 0 to 49. Each combination uses three numbers in a right, left, right pattern. Find the total number of possible combinations for the lock.
Answer:
147
Step-by-step explanation:
You buy shrimp at the market.
The shrimp cost $34.99 for two 2.5-pound bags.
What is the unit rate of the shrimp in dollars per pound?
Find the unit rate to the nearest dollar.
$30 per pound
$0.14 per pound
$7 per pound
$14 per pound
Answer:
$7 a pound
Step-by-step explanation
$35 dollars in total two 2.5 pounds is 2 x 2.5 = 5 then its 35/5=$7
Elaine can travel 63 meters in 3 second what is Elaine rate of speed?
Answer:
75,600 m/h (21 m/s, 0.02 km/h)
Step-by-step explanation:
Hey there!
The answer to your question is [tex]21 mps[/tex]
To find the rate of speed, we have to find the meters per second, or mps. The formula for this is [tex]\frac{distance}{time} = speed[/tex]. So:
[tex]\frac{63}{3} = s[/tex]
[tex]21 = s[/tex]
This means that the speed is 21 meters per second, or 21 mps.
Hope it helps and have an amazing day!
Solve each inequality below and illustrate the solution on a number line.
(a)
4.Y + 6 < 18
(b)
Sx - 8 > 27
(c)
6.x + 7 < 37
2.2 - 6
(d)
5x – 7 > -17
(e)
<1
4(2x - 3) > -8
just tell the answer no need f0r working
17 is the answer
h0pe this helped :>
Graph the following inequality and then select the correct graph below.
x+y<1
Answer:
The inequality x+y<1 should look like the graph attached.
It should be a dashed line, not a solid line.
Answer:
The second one you click to switch it
Step-by-step explanation:
Just did the quiz just going by every question and giving answers