Answer: $23.5
Step-by-step explanation:
0.5(x) + 11
0.5(25) + 11
$23.5
Suppose that 2 balls are chosen without replacement from an urn containing 5 white and 8 red balls. Let X1 equal 1 if the 1st ball selected is red, and let it equal 0 otherwise. Let X2 equal 1 if the 2nd ball selected is red, and let it equal 0 otherwise. (i) Give the joint probability mass function of X1 and X2. (ii) Are X1 and X2 independent
Answer:
The probability mass function :
P(X1 = 1, X2 = 1) = 5/13 * 4/12 = 5/39
P(X1 = 1, X2 = 0) = 5/13 * 8/12 = 10/39
P(X1 = 0, X2 = 1) = 8/13 * 5/12 = 10/39
P(X1 = 0, X2 = 0) = 8/13 * 7/12 = 14/39
Step-by-step explanation:
Given :
Number of white balls = 5
Number of red balls = 8
Total number of balls = (5 + 8) = 13
P(X1 = 1, X2 = 1) = 5/13 * 4/12 = (5/13 * 1/3) = 5/39
P(X1 = 1, X2 = 0) = 5/13 * 8/12 = (5/13 * 2/3) =10/39
P(X1 = 0, X2 = 1) = 8/13 * 5/12 = (2/13 * 5/3) =10/39
P(X1 = 0, X2 = 0) = 8/13 * 7/12 =(2/13 * 7/3) = 14/39
Find x.
Round to the nearest tenth.
7cm
7cm
10 cm
x = [? ]cm
Answer:
x = 4.9
Step-by-step explanation:
We can use the intersecting chords formula:
(segment piece) x (segment piece) = (segment piece) x (segment piece)
7*7 = 10x
49 = 10x
Divide each side by 10
49/10=10x/10
4.9 = x
Please like and give me Branlist and rate Thank you!
Use the first five terms of the exponential series of ex and a calculator to approximate the value of e0.8 to the nearest hundredth.
a.
2.24
c.
4.24
b.
2.22
d.
4.22
Answer:
.632
6 * 1/10 = 3/5
3*0.01 = 0.03
3/5 + 0.03 = .63
2*0.002 = .002
.63 + 0.002 = .632
Step-by-step explanation:
Im just guessing but i think it would be b... if i'm wrong im really sorry
PLEASE HELPPPP
Find the value of y
X+ y= 20
8x + 6y=133
Three vertices of a rectangle are located on the coordinate plane shown below. Coordinate plane with points labeled Part A Which is the ordered pair for Point B? A. (2, 8) B. (6, 8) C. (6, 6) D. (8, 6) Part B Which point is at (8, 2)? A. A B. B C. C D. None of these Part C What are the coordinates of point A? Enter your answer in the boxes. ( , ) Part D What are the coordinates of the fourth vertex of the rectangle? Enter your answer in the boxes. ( , )
HELP!!
Answer:
Part A
Which is the ordered pair for Point B?
A. (2, 8)
B. (6, 8)
C. (6, 6)
D. (8, 6)
Part B
Which point is at (8, 2)?
A. A
B. B
C. C
D. None of these
Part C
What are the coordinates of point A?
Enter your answer in the boxes.
(
2
,
8
)
Part D
What are the coordinates of the fourth vertex of the rectangle?
Enter your answer in the boxes.
(
0
,
0
)Step-by-step explanation:
write the equation in it's simplest form or as
[tex] \sqrt[n]{b} [/tex]
[tex] \sqrt[3]{56} [/tex]
9514 1404 393
Answer:
2∛7
Step-by-step explanation:
Putting the expression in simplest form will factor cubes from under the radical.
[tex]\displaystyle\sqrt[3]{56}=\sqrt[3]{2^3\cdot7}=\boxed{2\sqrt[3]{7}}[/tex]
2x +3=5 so what is the value of x
Answer:
x = 1
Step-by-step explanation:
2x + 3 = 5
=> 2x = 5-3
=> 2x = 2
=> x = 2/2
=> x = 1
Therefore, the value of x is 1
Hope it helps :)
Answer:
x=1
Step-by-step explanation:
Hi there!
2x+3=5
Our goal is to isolate x on one side of the equal sign, and we can do this using inverse operations. For example, the inverse operation of addition is subtraction. Subtract both sides of the equation by 3 to isolate 2x:
2x+3-3=5-3
2x=2
The inverse of multiplication is division. Divide both sides by 2:
2x÷2=2÷2
x=1
I hope this helps!
1. The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,290 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 153 of their customers and calculates that these customers used an average of 10,586kWh of electricity last year. Assuming that the population standard deviation is 2509kWh, is there sufficient evidence to support the power company's claim at the 0.05 level of significance? State the null and alternative hypotheses for the test.
2. The U.S. Energy Information Administration claimed that U.S. residential customers used an average of 10,290 kilowatt hours (kWh) of electricity this year. A local power company believes that residents in their area use more electricity on average than EIA's reported average. To test their claim, the company chooses a random sample of 153 of their customers and calculates that these customers used an average of 10,446 kWh of electricity last year, Assuming that the population standard deviation is 2509 kWh, is there sufficient evidence to support the power company's claim at the 0.02 level of significance? Compute the value of the test statistic.
A. We reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support the power company's claim that the mean amount of electricity for their residents is more than the national average.
B. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support the power company claim that the mean amount of electricity for their residents is more than the national average.
C. We reject the null hypothesis and conclude that there is sufficient evidence at a 0.02 level of significance to support the power company's claim that the mean amount of electricity for their residents is more than the national average.
D. We fail to reject the null hypothesis and conclude that there is sufficient evidence at a 0.02 level of significance to support the power company's claim that the mean amount of electricity for their residents is more than the national average.
Answer:
Kindly check explanation for (1)
2.)
B. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support the power company claim that the mean amount of electricity for their residents is more than the national average.
Step-by-step explanation:
1.)
H0 : μ = 10290
H0 : μ > 10290
n = 153, sample mean, xbar = 10586 ; population standard deviation, σ = 2509 ; α = 0.05
Test statistic:
(xbar - μ) ÷ (σ/√(n))
(10586 - 10290) ÷ (2509/√(153))
296 / 202.84062
Test statistic (Z) = 1.46
We obtain the Pvalue :
Decision Region :
Reject H0 ; if Pvalue < α
Pvalue from Z test statistic calculator :
Pvalue = 0.072
Pvalue > α ; Hence, we fail to reject the Null ; there isn't sufficient evidence to support the power company's claim
2.)
H0 : μ = 10290
H0 : μ > 10290
n = 153, sample mean, xbar = 10446 ; population standard deviation, σ = 2509 ; α = 0.02
Test statistic:
(xbar - μ) ÷ (σ/√(n))
(10446 - 10290) ÷ (2509/√(153))
156 / 202.84062
Test statistic (Z) = 0.769
We obtain the Pvalue :
Decision Region :
Reject H0 ; if Pvalue < α
Pvalue from Z test statistic calculator :
Pvalue = 0.221
Pvalue > α ; Hence, we fail to reject the Null ;
B. We fail to reject the null hypothesis and conclude that there is insufficient evidence at a 0.02 level of significance to support the power company claim that the mean amount of electricity for their residents is more than the national average.
Plz help me!!!!! 3. &4 only!!!
Answer:
Step-by-step explanation:
3.
Note that
[tex]L_1 : 4x-y=10 \\ L_2: -2x+4y=16[/tex]
aren't parralel lines. So they are intersected in one point.
Answer: Number of solutions is ONE. The system is soluble
4.
Similarly to 3. Number of solutions is ONE. The system is soluble
Unit test Which of the x-values are solutions to the following inequality? 2 > 111
Answer: C
Step-by-step explanation: It is C because X is greater than (>) 111, and 119 is greater than 111. Good luck on the test!
Please please help!!!!
Answer:
280 inches
Step-by-step explanation:
8 x 8 = 64
9 × 24 = 216
64 + 216 = 280
A walkway forms one diagonal of a square playground. The walkway is 32 m long. How long is each side?
Answer:30.45751052, or 30.5
Step-by-step explanation:
since you know that the playground is a square, a diagonal would cut the square into 2 45-45-90 triangles, now that you know that information, there is a really easy way to solve the problem, the way i did it was i used the law of sines, which states that side a/sin(angle A)=side b/sin(angle B). so 32/sin(90)=30.7943... substitute that into the equation and you get 30.7943... =side b/sin(angle B). since you know that angle B =45 degrees take the sin of that and multiply it by 30.7943 to get the answer.
Please help me fast i need help please
Please help ASAP
The painting shown at the right has an area of 280 in2. What is the value of x?
(4x+5) in.
(Simplify your answer. Round the final answer to the nearest hundredth as needed. Round all intermediate values to the nearest hundredth as needed. Use a comma to
separate answers as needed.)
Solve it please
Please please please
Answer: x = 30
==========================================================
Explanation:
When adding three angles of any triangle, they always add up to 180
3x+2x+x = 180
6x = 180
x = 180/6
x = 30
This then means,
3x = 3*30 = 902x = 2*30 = 60This triangle is a 30-60-90 triangle.
A quadratic function and an exponential function are graphed below. Which graph most likely represents the quadratic function? (5 points)
graph of function g of x is a curve which joins the ordered pair 0, 1 and 1, 2 and 3, 8 and 5, 32 and 6, 64. Graph of function f of x is a curve which joins the ordered pair 0, 1 and 1, 2 and 3, 10 and 5, 26 and 6, 37
f(x), because an increasing exponential function will eventually exceed an increasing quadratic function
g(x), because an increasing quadratic function will eventually exceed an increasing exponential function
g(x), because an increasing exponential function will always exceed an increasing quadratic function until their graphs intersect
f(x), because an increasing quadratic function will always exceed an increasing exponential function until their graphs intersect
Answer:
It's A
Step-by-step explanation:
I just did the test and it is A
Which point is a reflection of (-4, -3) across the y-axis?
Answer:
(4,-3)
Step-by-step explanation:
The y coordinate stays the same, and the x changes from positive to negative
What is the solution to the linear equation?
+pag+
O p = 1
O p = 2
o p= 8
O p = 10
The solution of the equation will be 1. Then the correct option is A.
What is the solution to the equation?In other words, the collection of all feasible values for the parameters that satisfy the specified mathematical equation is the convenient storage of the bunch of equations.
The equation is given below.
2/5 + p = 4/5p + 3/5
Simplify the equation for p, then we have
2/5 + p = 4/5p + 3/5
p - 4/5p = 3/5 - 2/5
1/5 p = 1/5
p = 1
The solution of the equation will be 1. Then the correct option is A.
More about the solution of the equation link is given below.
https://brainly.com/question/22613204
#SPJ7
I need help with this ASAP
Given:
Radius of the circle = 6 inches
Central angle = 75 degrees.
To find:
The length of subtended arc, i.e., x.
Solution:
The formula for arc length is:
[tex]s=2\pi r\times \dfrac{\theta}{360^\circ}[/tex]
Where, r is the radius and [tex]\theta [/tex] is the central angle.
Putting [tex]s=x, r=6, \pi=3.14, \theta =75^\circ[/tex] in the above formula, we get
[tex]x=2(3.14)(6)\times \dfrac{75^\circ}{360^\circ}[/tex]
[tex]x=2(3.14)(6)\times \dfrac{5}{24}[/tex]
[tex]x=7.85[/tex]
[tex]x\approx 7.9[/tex]
Therefore, the value of x is 7.9 inches.
Answer:Radius of the circle = 6 inchesCentral angle = 75 degrees.
Step-by-step explanation:
Using the information above, plot the data points and produce a sine regression model for the data. Round a, b, c, and d to the nearest 0.001. Then use your model to predict how much of the moon will be visible 65 days after Jan 8th, provided the sky is clear. Give your answer as a percent. a. 38% of the moon will be visible b. 9% of the moon will be visible c. 35% of the moon will be visible d. 99% of the moon will be visible
Answer:
B
y = 0.508 sine (0.212 x minus 1.529) + 0.512
Step-by-step explanation:
just took the test
What is the slope of the line through the points (2,5) and (6, 13)?
Answer:
m = 2
Step-by-step explanation:
[tex]\frac{13-5}{6-2}=\frac{8}{4} =\boxed{2}[/tex]
Hope this helps.
IM STUCK ON THIS QUESTION RIGHT NOW OFFERING 10 POINTS plsssss don't guess for points
Answer:
56
Step-by-step explanation:
So you just need to find 7 + what is equal to 63. To find this we have to do inverse operation, which means the opposite operation. So, we do 63-7 which is equal to 56. Therefore, the solution to the equation, or x is equal to 56 (C).
Hope this helps !!
-Ketifa
HELP FAST 45 POINTS WILL GIVE BEST ANSWER BRAINLIEST
Answer:
1343.42 in³
I am sure about this answer because I had this in my syllabus last year.
Answer:
Vtotal = (vol of prism) + (1/2)(vol of cylinder)
volume of prism = 9×10×11 = 990 in^3
volume of cylinder = pi×(5in)^2×(9in)
= 225pi in^3
Therefore, the total volume is
Vtotal = 990 in^3 + (1/2)(225pi in^3)
= 1343.4 in^3
In ΔQRS, the measure of ∠S=90°, the measure of ∠Q=71°, and RS = 2.5 feet. Find the length of SQ to the nearest tenth of a foot.
9514 1404 393
Answer:
0.9 ft
Step-by-step explanation:
The relevant trig relation is ...
Tan = Opposite/Adjacent
tan(71°) = (2.5 ft)/SQ . . . . . . . . fill in the given values
SQ = (2.5 ft)/tan(71°) ≈ 0.8608 ft
The length of SQ is about 0.9 feet.
WILL GIVE BRAINLIEST!! 100 POINTS!
NO OUTSIDE WEBSITE LINKS, AND ANSWER WITH DIAGRAM AND EXPLANATION/PROOF
a line and a line segment are given. Construct a line parallel to the given line on a distance equal to the given segment.
I WILL report if your answers are inappropriate or contain external links :)
Need photo of the segment.
Can y’all help me on question 12?!
Answer:
C)
Step-by-step explanation:
5 x 3 = 15
15 + 6 = 21
Your answear is C
Answer:
C,D, and F should be the correct answers.
Step-by-step explanation:
C. 5(3)= 15+6=21
D. 7(3)= 21-2=19
F. 5(3)=15
Evan and two friends go to a farm to pick strawberries. Evan records the number of baskets of strawberries that each person picks in a table.
Evan forgot to record how many strawberries he picked, but he knows that it was the same amount as Jerry and Ann combined.
Jerry: 2 1/3
Ann: 3 1/3
Answer:
5 2/3
Step-by-step explanation:
Hope it helps plz give brainliest ! :D
What is the slope of (2,-12), (18,15)
Answer:
Step-by-step explanation:
The slope of a line given two points [tex](x_0,y_0)[/tex] and [tex](x_1,y_1)[/tex] is
[tex]m=\frac{y_1-y_0}{x_1-x_0}=\frac{15-(-12)}{18-2}=\frac{27}{16}[/tex]
Find the surface area of the rectangular prism
Answer:
200 is your answer
Step-by-step explanation:
First, multiply:
8 × 5 × 4 = 160
Then, multiply:
4 × 5 × 2 = 40
Next, add them up.
160 + 40 = 200
Lastly, have a great day!
Step by step exclamation please
Answer:
Expression: 48x + 120y & Area = 1,008 square feet
Step-by-step explanation:
12(4x + 10y)
multiple the 12 into 4x + 10y
12 x 4x = 48x
12 x 10y = 120y
48x + 120y
x = 6 ft
y = 4 ft
Substitite in numbers
48x + 120y
48(6) + 120(6)
Multiply
288 + 720
Add
288 + 720 = 1,008 square feet