Answer:
d) 205
Step-by-step explanation:
Step(i):-
x : 100 150 200 250 300
p(X=x) : 0.10 0.20 0.30 0.30 0.10
Step(ii):-
Let 'X' be the discrete random variable
Expected value of the random variable
E(X) = ∑ x P(X=x)
= 100 X 0.10 + 150 X 0.20 + 200 X 0.30 +250 X 0.30 + 300 X 0.10
= 205
Final answer:-
The expected value E(X) = 205
A retailer is having a promotional sale for 35% off all items. There is a 7% sales tax added to the price. Which
represents the situation, where x is the original cost of the item(s)?
Answer:
0.6955x
Step-by-step explanation:
Given the following :
Promotional discount on items = 35%
Sales tax on items = 7%
Original cost of items = x
First we obtain the cost of item after the promotional discount is applied
Cost of item :
Original price - (original price * promotional discount)
x - (x * 0.35) = x - 0.35x
Cost of item = 0.65x
Then the sales tax is added :
Total amount after tax:
Cost of item + (cost of item × sales tax rate)
0.65x + (0.65x * 0.07)
0.65x + 0.0455x
= 0.6955x
Answer:
0.6955x
edge 2020 .
In the diagram above <1=135 find the measure of <2
Answer:
∠ 2 = 45°
Step-by-step explanation:
∠ 1 and ∠ 2 are same- side interior angles and are supplementary, thus
∠ 2 = 180° - ∠ 1 = 180° - 135° = 45°
Answer: 45
Step-by-step explanation:
Which set of integers does NOT represent the lengths of the sides of a triangle?
A. (4,7,9)
B. (6,6,11)
C. (9,10,11)
D. {4,8,12)
A shirt is on sale for 20% off. if the sale price is $29.90, what is the original cost of the shirt?
Answer:
$35.88
Step-by-step explanation:
Multiply 29.9 by 1.20 to get the original price
hope this helps:)
You roll a die. If it comes up a 1 or 2, you win $200. If not, you get to roll again. If you get a 1 or 2 the second time, you win $100. If not, you lose. a) Create a probability model for the amount you win. b) Find the expected amount you'll win.
On the first roll, you have a 1/3 probability of rolling a 1 or 2 and thus winning $200.
There's a 2/3 probability of not rolling a 1 or 2 on the first roll. On the second roll, there is again a 1/3 probability of rolling a 1 or 2, and 2/3 probability otherwise, so that there is a 1/3*2/3 = 2/9 probability of getting a 1 or 2 and thus winning $100, and 2/3*2/3 = 4/9 probability of losing.
(a) Let [tex]W[/tex] be a random variable representing the winnings from playing the game. It has the probability mass function
[tex]P(W=w)=\begin{cases}\frac13&\text{for }w=\$200\\\frac29&\text{for }w=\$100\\\frac49&\text{otherwise}\end{cases}[/tex]
(b) Compute the expected value of [tex]W[/tex]:
[tex]E[W]=\displaystyle\sum_w w\,P(W=w)=\$200\cdot\frac13+\$100\cdot\frac29+\$0\cdot\frac49\approx\$88.89[/tex]
Precision can be evaluated by which of the followings
Mean
Median
O RSD
O Mode
iniling in ODS columns are
PLEASE HELP QUICKLY AS POSSIBLE THANK YOU :)
Can someone only help with b and c thanks
Answer:
b. 8.91,8.9,8.19,8.1,8.098
c. 20.005,20,19.06,2.05,1.905
Answer:
b. 8.91, 8.9, 8.19, 8.1, 8.098.
c. 20.005, 20, 19.06, 2.05, 1.905.
Step-by-step explanation:
A statistical study reported that a drug was effective with a p-value of .042.
a. An effective or ineffective sample may be found about 42 times in 1000 samples. (effective or ineffective)
b. The drug is evidently effective at alpha ? = 0.05. (Yes or No)
c. How would that compare to a drug that had a p-value of .087? (More Effective or Less Effective)
Answer:
(a) An ineffective sample may be found about 42 times in 1000 samples.
(b) Yes, the drug is evidently effective at alpha = 0.05.
(c) A drug that had a p-value of 0.042 is more effective in comparison to a drug that had a p-value of 0.087.
Step-by-step explanation:
We are given that a statistical study reported that a drug was effective with a p-value of 0.042.
Let the Null Hypothesis, [tex]H_0[/tex] : The drug was ineffective.
Alternate Hypothesis, [tex]H_A[/tex] : The drug was effective.
(a) An ineffective sample may be found about 42 times in 1000 samples.
(b) As we know that, if the P-value is less than the level of significance, then we have sufficient evidence to reject our null hypothesis.
SO, here also; the P-value is less than the level of significance as 0.042 < 0.05, so we reject our null hypothesis and conclude that the drug is evidently effective.
(c) The drug that had a p-value of 0.087 would be ineffective as in this case the P-value is more than the level of significance as 0.087 > 0.05, so we do not reject our null hypothesis and conclude that the drug is evidently ineffective.
This means that a drug that had a p-value of 0.042 is more effective in comparison to a drug that had a p-value of 0.087.
Tell whether x and y show direct variation. Explain your reasoning. x=y+2
Answer:
x and y do not show direct variation
Step-by-step explanation:
Two quantities x and y show direct variation when
y = kx
and k ≠ 0
Given x = y + 2
Making y the subject of the formula:
y = x - 2
The equation above cannot be written in the form y = kx
This means that x and y are not in a proportional relationship
For instance, let's say when x = 4
y = (4) - 2 = 2
Now, if x is doubled, x = 8
y = (8) - 2 = 6
Therefore, doubling x does not necessarily double y, hence they are not in a direct variation.
If 6 oz cost $2.10 and 8 oz cost $2.80 and 16 oz cost $5.60. How much would 20 oz cost
Answer:
$7.00
Step-by-step explanation:
Since each of them are 35 cents per ounce
20 x 0.35 = 7
An ice cream shop offers three flavors of ice cream (vanilla, chocolate, and strawberry), and four toppings (caramel, chocolate sauce, nuts, and sprinkles). If a small sundae includes one scoop of ice cream and two different toppings, how many possible sundaes are there?
Hey there! I'm happy to help!
Let's pretend that we are building a small sundae. We have 3 choices of ice cream flavors.
Now, we want to pick a topping. We have 4 choices here.
After we choose a topping, we can pick another. We only have 3 choices now because we need different toppings, and we already used one.
We want to find how many possible combos we can make. What we do is multiply all of these numbers of choices, and this will show us how many possible sundaes there are.
3×4×3=36
Therefore, there are 36 different sundaes that can be made.
Have a wonderful day! :D
Type the correct answer in each box. Round your answers to two decimal places. Find the average rate of change of f(x) = log2(3x − 6) on [3, 4], [4, 5], and [5, 6].
Answer:
[tex][3,4][/tex] : [tex]r = 1[/tex], [tex][4,5][/tex] : [tex]r = 0.59[/tex], [tex][5,6][/tex] : [tex]r = 0.42[/tex]
Step-by-step explanation:
Given a function [tex]f(x)[/tex] that is continuous on [tex][a,b][/tex], the average rate of change is:
[tex]r = \frac{f(b)-f(a)}{b-a}[/tex]
[tex]a[/tex], [tex]b[/tex] - Lower and upper bounds, dimensionless.
[tex]f(a)[/tex], [tex]f(b)[/tex] - Images of the function evaluated at lower and upper bounds, dimensionless.
Let be [tex]f(x) = \log_{2}(3\cdot x - 6)[/tex], then:
[tex][3,4][/tex]
[tex]a = 3[/tex] and [tex]b = 4[/tex]
[tex]f(3) = \log_{2}[3\cdot (3) - 6][/tex]
[tex]f(3) \approx 1.585[/tex]
[tex]f(4) = \log_{2}[3\cdot (4) - 6][/tex]
[tex]f(4) \approx 2.585[/tex]
[tex]r = \frac{2.585-1.585}{4-3}[/tex]
[tex]r = 1[/tex]
[tex][4,5][/tex]
[tex]a = 4[/tex] and [tex]b = 5[/tex]
[tex]f(4) = \log_{2}[3\cdot (4) - 6][/tex]
[tex]f(4) \approx 2.585[/tex]
[tex]f(5) = \log_{2}[3\cdot (5) - 6][/tex]
[tex]f(5) \approx 3.170[/tex]
[tex]r = \frac{3.170-2.585}{5-4}[/tex]
[tex]r = 0.59[/tex]
[tex][5,6][/tex]
[tex]a = 5[/tex] and [tex]b = 6[/tex]
[tex]f(5) = \log_{2}[3\cdot (5) - 6][/tex]
[tex]f(5) \approx 3.170[/tex]
[tex]f(6) = \log_{2}[3\cdot (6) - 6][/tex]
[tex]f(6) \approx 3.585[/tex]
[tex]r = \frac{3.585-3.170}{6-5}[/tex]
[tex]r = 0.42[/tex]
Answer:
Please mark me as brainliest :)
Step-by-step explanation:
A teacher records the amount of time it took a random sample of students to finish a test and their scores on that test. Let x be the score and y be the amount of time. Conduct a hypothesis test of the claim that there is a linear correlation between the variables, using a 0.10 level of significance. Find the PERCENTAGE OF THE VARIANCE IN THE Y-VALUES THAT CAN BE EXPLAINED BY THEIR LINEAR RELATIONSHIP WITH THE X-VALUES.
Answer:
hello your question has a missing table attached below is the missing table
Answer : 0.55%
Step-by-step explanation:
The complete table related to the answer given above is attached below
using a 0.10 level of significance the percentage of the variance in the Y-values that shows a linear relationship with the X-values = 0.55%
The values for X^2 , y^2 and x*y is determined an entered into a table ( attached below as well )
In a triangle, the measure of the first angle is three times the measure of the second angle. The measure of the third angle is 75º more than the measure of the second
angle. Use the fact that the sum of the measures of the three angles of a triangle is 180° to find the measure of each angle.
The measure of the first angle is°?
The measure of the second angle is º?
The measure of the third angle is °?
Answer:
Angle 1= 63°
Angle 2 = 21°
Angle 3 = 96°
5. The rear wheels of DeMarius' car complete 4/5 of a rotation for every full rotation of a front wheel. What is the
radius, in feet, of a rear wheel on the car? Write your answer as a simplified fraction.
Answer:
The answer to your question is 6.4 feet
Water covers about 1.385 x 108 square miles of Earth's surface. How is this number written in standard notation?
Answer:
1.4958 x 10^2
Step-by-step explanation:
The product of the multiplication is 149.58. The formula for standard notation is: A x 10^n, where 1<=A<10.
Scientific notations are the way through which a very small or a very large number can be written in shorthand. Water covers about 138,500,000 square miles of Earth's surface.
What are Scientific notations?Scientific notations are the way through which a very small or a very large number can be written in shorthand. In scientific notations when a number between 1 and 10s is multiplied by a power of 10.
For example, 6,500,000,000,000 can be written as 6.5e+12.
Given that the Water covers about 1.385 x 10⁸ square miles of Earth's surface. The area is given in scientific notations, this can be written in the standard form as shown below,
1.385 x 10⁸ square miles = 138,500,000 square miles
Hence, Water covers about 138,500,000 square miles of Earth's surface.
Learn more about Scientific notation here:
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Need help with this one ....
Answer:
$110,759.36
Step-by-step explanation:
136645-89188=47457
47457/11=4314.272727
4314.272727x6=25885.636363
136645-25885.64=110.759.36
7. x – a is the factor of a polynomial P(x) if P(a) is equal to
options:
A) 2
B) 1
C) 3
D) 0
Answer:
[tex]\huge \boxed{\mathrm{D) \ 0}}[/tex]
Step-by-step explanation:
x - a is a factor of the polynomial P(x).
P(a) means the input for the polynomial is a.
a - a = 0
Anything multiplied by 0 is 0. If the factor is equal to 0 then the whole polynomial will be equal to 0.
Answer:
D) 0
Step-by-step explanation:
What is the common ratio between successive terms in the sequence?
2, 4, 8, -16, 32, 64, ...
goes by 2 then turns to a negative every 3 numbers
Step-by-step explanation:
write and expression for
five times a number decreased by eight
Answer:
5 x 10 - 8 = ?
Step-by-step explanation:
Brainliest please!
Answer:
5×17-8
Step-by-step explanation:
First you multiply 5 by 17 and then you subtract 8
Does this graph show a function? Explain how you know.
5
O A. Yes; the graph passes the vertical line test.
O
B. No; there are y-values that have more than one x-value.
C. Yes; there are no y-values that have more than one x-value.
O
D. No; the graph fails the vertical line test.
Answer: D. No; the graph fails the vertical line test.
The vertical line test is a tool used to determine if we have a function. If we can draw a single straight vertical line through more than one point on the red curve, then the graph is said to have failed the vertical line test. Consequently, this leads to the relation not being a function.
For this circle graph, we can draw a vertical line through more than one point, which is why we don't have a function here.
Put another way, there are inputs (x) that produce more than one output (y), so that's why we don't have a function.
The graph shows a function The graph fails the vertical line test.
A vertical line test is a tool used to determine if we have a function.
What is the vertical line test?The vertical line test is a method that is used to determine whether a given relation is a function or not. The approach is rather simple.
If we can draw a single straight vertical line through more than one point on the red curve, then the graph is said to have failed the vertical line test.
Consequently, this leads to the relation not being a function.
For this circle graph, we can draw a vertical line through more than one point, which is why we don't have a function here.
Put another way, there are inputs (x) that produce more than one output (y), so that's why we don't have a function.
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I NEED HELP PLEASE
Answer:
m= 0
y^m = x ^8m over z ^5m
x^ 8m = y^m z5^m
z^ 5m = x^8m over y^m
Step-by-step explanation:
ABCD has a perimeter of 27 units and is dilated by a scale factor of 1/3. What is the perimeter of A¹B¹C¹D¹?
Answer:
9 units
Step-by-step explanation:
First of all, let us understand the meaning of dilation.
Dilation means to change the size of any image or line or a figure.
Dilation can be used to enlarge (dilation by a factor greater than 1) the original figure.
OR
Dilation can be used to make the image smaller (dilation by a factor lesser than 1) the original figure.
Here, we are given that an image with 4 points ABCD is dilated by a scale factor of [tex]\frac{1}{3}[/tex].
Its sides will be AB, BC, CD and DA.
Perimeter is equal to the sum of all the sides of a closed figure.
So, perimeter of ABCD = AB + BC + CD + DA = 27 units ...... (1)
Now, it is dilated by a scale factor of [tex]\frac{1}{3}[/tex].
So, all the sides will become smaller i.e.
A'B' = [tex]\frac{1}{3}[/tex] AB
B'C' = [tex]\frac{1}{3}[/tex] BC
C'D' = [tex]\frac{1}{3}[/tex] CD
D'A' = [tex]\frac{1}{3}[/tex] DA
Perimeter of A'B'C'D' = A'B' + B'C' + C'D' + D'A' = [tex]\frac{1}{3}[/tex]AB + [tex]\frac{1}{3}[/tex]BC + [tex]\frac{1}{3}[/tex]CD + [tex]\frac{1}{3}[/tex]DA
[tex]\frac{1}{3}[/tex] (AB + BC + CD + DA ) = [tex]\frac{1}{3} \times 27[/tex](By equation (1))
Perimeter of A'B'C'D' = 9 units
determine the value of x using a trigonometric ratio.
Answer:
a
Step-by-step explanation:
The value of x in the triangle is given by trigonometric relations and the value is x = 8.86 units
What are trigonometric relations?
Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the triangle be represented as ABC
Now , the height of the triangle is BC = 5.5 units
Let the angle be θ = 50°
Now ,
From the trigonometric relations ,
cos θ = adjacent / hypotenuse
Substituting the values in the equation , we get
cos θ = 5.5 / x
Multiply by x on both sides of the equation , we get
x ( cos θ ) = 5.5
Divide by cos θ on both sides of the equation , we get
x = 5.5 / cos θ
when θ = 50°
x = 5.5 / cos 50°
x = 5.5 / 0.642787
x = 8.556 units
Therefore , the value of x = 8.56 units
Hence , the value of x of triangle is x = 8.56 units
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Which of the following is the midpoint of a line segment with endpoints -4 and 7?
A. 1.5
B. 0
C. -3
D. 5.5
Answer:
A.1.5 is the correct answer.
Answer:
A. 1.5
Step-by-step explanation:
End points of the line segment:
- 4 and 7Length of line segment:
7 - (-4) = 11Half length of the line segment:
11/2 = 5.5Midpoint is at same distance from either end:
7 - 5.5 = -4 + 5.5 = 1.5Midpoint is 1.5
Which could describr the motion of an object in distance and displacement
Answer:
Hope this will help you :)
Step-by-step explanation:
Round to the nearest whole number 90.05
Answer:
90
Step-by-step explanation:
Identify the one's place:90.05
2 . Check the number to the right of it:
90.05
If the number is greater than or equal to 5, we round up. If it's less than or equal to four, we round down.
Zero is less than four. This means we round down.
90.05 ≈ 90
Hope this helps.
what is the image point of ( 1,2) after a translated right 5 units and up 3 units
Answer:
(6,5)
Step-by-step explanation:
In (1,2), 1 is is x so any number added to it goes to the right or left. 2 is y so any number added to it goes up or down. It says translate right 5 units so that will be for x, a.k.a 1.
1+5= 6 (new x)
Same with y, a.k.a 2. It says up 3 units, so it must mean add on to y.
2+3= 5 (new y)
We now take our new values and put them back in the parentheses:
(6,5)
If AABC = APQR, then
AB =
Answer:
AB = PQ
Step-by-step explanation:
ABC = PQR
The angles are equal and the segments are equal
for the angles
A = P
B = Q
C = R
For the segments
AB = PQ
BC = QR
AC = PR
Answer:
Line AB is approximately equal to Line PQ
Consider the ratio of 153 per 108. Write this ratio in different forms below.
A ratio written as a reduced fraction -
A ratio written as a decimal rounded to the hundredths -
What is the answer to this?
Answer:
i) [tex]\frac{17}{12}[/tex], ii) Approximately 1.42, iii) The answer to this is given by the reduced fraction, as decimal form has an infninite periodic component.
Step-by-step explanation:
(i) A ratio written as a reduced fraction:
Given ratio is now simplified to its reduce form:
1) [tex]\frac{153}{108}[/tex] Given
2) [tex]\frac{51}{36}[/tex] Modulative property/Existence of multiplicative inverse/Definition of division/[tex]\frac{\frac{x}{y}}{\frac{w}{z}} = \frac{x\cdot z}{y\cdot w}[/tex]
3) [tex]\frac{17}{12}[/tex] Modulative property/Existence of multiplicative inverse/Definition of division/[tex]\frac{\frac{x}{y}}{\frac{w}{z}} = \frac{x\cdot z}{y\cdot w}[/tex]/Result
(ii) A ratio written as a decimal rounded to hundredths:
[tex]\frac{17}{12} \approx 1.42[/tex]
(iii) What is the answer to this?
The answer to this is given by the reduced fraction, as decimal form has an infninite periodic component.