Answer:
The answer would be 45
Lucy Baker is analyzing demographic characteristics of the American Idol program. Previous studies indicate that the average viewer is 43 years old. May changes took place in the program and there are rumors the audience has changed. Mrs. Baker was tasked to find out . She randomly selects 100 people from the audience, and reports that the average age is 45 years. Assuming that variability in the ages of viewers is σ = 5 years, identify if Mrs. Baker's conclusion. She wants to accept a Type I error of .05.
Answer:
We conclude that the mean age of average viewer has changed
Step-by-step explanation:
H0 : μ = 43
H1 : μ > 43
The test statistic :
(xbar - μ) ÷ σ/sqrt(n)
Sample size, n = 100
xbar = 45 ; σ = 5
Test statistic :
(45 - 43) ÷ 5/sqrt(100)
2 ÷ 0.5 = 4
The Pvalue :
P(Z < 4) = 0.000032
Pvalue < α
0.000032 < 0.05 ; Hence, we reject the Null
We conclude that the mean age of average viewer has changed
I dont know i need help please
Answer:
C
Step-by-step explanation:
Find the 51th term of the arithmetic sequence 29 9 -11
Answer:
-971
Step-by-step explanation:
I plugged the numbers into a arithmetic sequence calculator
Can someone please help me out with this? I can’t figure out exactly what they are saying.
Answer:
Its English :))))))
Answer:
i would go fro the first one
Step-by-step explanation:
its asking whitch maple have the more absolute deviations
Find the volume of a cone with a base diameter of 8 in and a height of 6 in. Write the exact volume in terms of pi, and be sure to include the correct unit in your answer.
Volume of a cone = pi x r^2 x h/3
Volume = pi x 4^2 x 6/3
Volume = 32pi cubic inches ( in.^3)
7a+5a^2+6a^0-3a^2-4a
Can someone please give me the answer for brilliant What is the volume of the right rectangular prism?
Answer:
[tex] 148 \frac{3}{4} \: {in}^{3} [/tex]
Step-by-step explanation:
volume of the right rectangular prism
[tex] = lwh \\ \\ = 10 \times 4 \frac{1}{4} \times 3 \frac{1}{2} \\ \\ = 10 \times \frac{17}{4} \times \frac{7}{2} \\ \\ = \frac{595}{4} \\ \\ = 148 \frac{3}{4} \: {in}^{3} [/tex]
Answer: The volume is 148 3/4 in3.
Step-by-step explanation:
V= l*w*h
V= 10* 4 1/4* 3 1/2
V= 148 3/4
Please explain how you got the answer
Answer:
52.5
Step-by-step explanation:
Find inner square (7 * 7 = 49), then find outer triangles (.5*7=3.5 for both) then u get 52.5 plz mark 5 str, helpfull, and brainliest!
) Which value is the solution of the equation 54 = 6n?
54 = 6n divide 6 on both sides, 6's will cancel on the right.
__ __ solve for 54 ÷ 6 = 9
6 6
n = 9, choice 4 -- final answer
hope this helps :)
The solution of the given equation 54 = 6n will be 9 thus option (D) is correct.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
As per the given equation,
54 = 6n
Divide by 6 into both sides,
n = 9
Hence "The solution of the given equation 54 = 6n will be 9".
For more about the equation,
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(PLEASE ANSWER FAST)
Some friends are eating crackers. The number of crackers, y, that each person gets is inversely proportional to the number of people, x, who are sharing the crackers. When 4 people share the crackers, each person gets 12 crackers. What is an inverse proportion equation that represents this situation? How many crackers will each person get if 8 people are sharing the crackers?
(PLEASE ANSWER FAST)
Answer: yx (4)(12) / 8
Step-by-step explanation:
Answer:
1. What is an inverse proportion equation that represents this situation?
y=48/k
2. How many crackers will each person get if 8 people are sharing the crackers?
6 crackers
Step-by-step explanation:
1. What is an inverse proportion equation that represents this situation?
The number of crackers, y, is inversely proportional to the number of people, x. In mathematical terms, this is y=k/x, where k is some number.
When there are 4 people, each person gets 12 crackers:
y=k/x
12=k/4
48=k
Therefore, our equation is y=48/x
2. How many crackers will each person get if 8 people are sharing the crackers?
y=48/x, where y is the number of cracker and x is the number of people.
y=48/8
y=6
Please help, test due in 1 hour! I will give brainliest! :)
Answer:
Rectangle + half circle ?
Step-by-step explanation:
Answer:
A rectangular prism and half of a cylinder.
Step-by-step explanation:
The rectangular prism is for the bottom part, and if you cut a cylinder vertically down it's diameter, you would get the top shape. Put em both together and BAM you got a chest. Periodt.
beth owes 17000 on her car loan. the interest rate on her loan is 4.25% she will be paying this loan off in 4 years how much will beth pay all together?
28,900
19,890
2890
45,900
Answer:She has to pay $20078.7 amount.
Step-by-step explanation:
Given : Beth owes 17,000 on her car loan. The interest rate on her loan is 4.25% She will be paying this loan off for 4 years.
To find : How much will she pay altogether?
Solution :
Using compound interest formula,
A = P(1 + r)
Where A is the amount
P is the principle P=17,000
P is the rate r=4.25%=0.0425
t is the time t= 4 years
Substitute the value,
Therefore, She has to pay $20078.7 amount.
HELP Math will give 25 brainly points
9514 1404 393
Answer:
51°
Step-by-step explanation:
The angles where the expressions are given are a linear pair, so total 180°.
(3x +15) +(10x +9) = 180
13x = 156 . . . . . . . . . . . . . . . subtract 24, collect terms
x = 156/13 = 12
Then the acute angle is ...
3x +15 = 3(12) +15 = 36 +15 = 51
The stairs make an angle of 51° with the basement floor.
_____
Additional comment
Building code requires the rise to be not more than 8 and the run not less than 9, so the maximum angle is about 41.6°. A 51° staircase would not meet code.
Can someone help me find the area
Answer:
Area of the composite figure = 84 in²
Step-by-step explanation:
Area of the composite figure = Area of rectangle DEFG + Area of rectangle BCGH + Area of triangle ABH
Area of rectangle DEFG = DE × EF
= 5 × 10
= 50 in²
From ΔBHA,
AB = ED = 5 in [Given]
AH = FA - (GH + FG)
= 15 - (7 + 5)
= 15 - 12
= 3 in.
By applying Pythagoras theorem in ΔABH,
AB² = HB² + AH²
5² = HB² + 3²
25 - 9 = HB²
HB = √16
HB = 4 in
Area of rectangle BCGH = BC × HB
= 7 × 4
= 28 square in.
Area of triangle ABH = [tex]\frac{1}{2}(\text{Height})(\text{Base})[/tex]
= [tex]\frac{1}{2}(BH)(AH)[/tex]
= [tex]\frac{1}{2}(4)(3)[/tex]
= 6 in²
Therefore, area of the composite figure = 50 + 28 + 6
= 84 in²
Guys please i need help in this question, whoever gets it right will get a brainliest
dont pay attention to the bots responding with links, there not the answers
Answer:
14- 1/5
15- 9/20
16- 11/20
Step-by-step explanation:
Find the exponential function that contains the points (0,5) and (2,20)
For which of the inequalities below is v = 4 a solution?
v plus greater 8
v plus 5 greater or equal than 9
v plus 5 greater than 9
v plus 5 less or equal than 8
Answer:
Option 2, v plus 5 greater or equal than 9
Step-by-step explanation:
For inequality represented by option 2 i.e v plus 5 greater or equal than 9
v+5 >= 9
If we put v =4 in above inequality, we get
4+5>= 9
9>= 9
Hence, option 2 is correct
Answer:
Option 2
Step-by-step explanation:
which statements are true about angle b in this triangle?
Answer:
b) [tex]\sin(B) = \frac{\sqrt 2}{2}[/tex]
e) [tex]\tan(B) = 1[/tex]
Step-by-step explanation:
Given
The attached triangle
Required
The true statement about B
The given options show that we determine the correct trigonometry ratio of B.
So, we have:
[tex]\cos(B) = \frac{Adjacent}{Hypotenuse}[/tex]
This gives:
[tex]\cos(B) = \frac{a}{c}[/tex]
Where:
[tex]a = 3mm\\c = 3\sqrt 2 mm[/tex]
[tex]\cos(B) = \frac{3}{3\sqrt 2}[/tex]
3 cancels out
[tex]\cos(B) = \frac{1}{\sqrt 2}[/tex]
Rationalize
[tex]\cos(B) = \frac{1}{\sqrt 2}* \frac{\sqrt 2}{\sqrt 2}[/tex]
[tex]\cos(B) = \frac{\sqrt 2}{\sqrt 2*\sqrt 2}[/tex]
[tex]\cos(B) = \frac{\sqrt 2}{12}[/tex]
Also:
[tex]\sin(B) = \frac{Opposite}{Hypotenuse}[/tex]
This gives:
[tex]\sin(B) = \frac{b}{c}[/tex]
Where:
[tex]b = 3mm\\c = 3\sqrt 2 mm[/tex]
[tex]\sin(B) = \frac{3}{3\sqrt 2}[/tex]
3 cancels out
[tex]\sin(B) = \frac{1}{\sqrt 2}[/tex]
Rationalize
[tex]\sin(B) = \frac{1}{\sqrt 2}* \frac{\sqrt 2}{\sqrt 2}[/tex]
[tex]\sin(B) = \frac{\sqrt 2}{\sqrt 2 * \sqrt 2 }[/tex]
[tex]\sin(B) = \frac{\sqrt 2}{2}[/tex]
Lastly:
[tex]\tan(B) = \frac{\sin(B)}{\cos(B)}[/tex]
This gives:
[tex]\tan(B) = \frac{\sqrt{2}/2}{\sqrt{2}/2}[/tex]
[tex]\tan(B) = 1[/tex]
Hence, (b) and (e) are true
What is the value of z?
Answer
61
Step-by-step explanation:
subtract 180-73.8-46.2
Answer:
The value of z is 26.6
Step-by-step explanation:
72.6 - 46.2=26.6
PLEASE HELP ASAP?!!!!!!
Answer:
It is 15!
Step-by-step explanation:
Therefore the answer is x=15 :)
A painter took 15 hours to paint 12 rooms in a building. Choose all true statements about the painter's rate of speed
Answer:
B and E
Step-by-step explanation:
15 divided by 12 is =1.25
1.25 ti.es 36 rooms =45 hours
-10/3 rational or irrational number
Answer:
-10/3 is a rational number
Step-by-step explanation:
Rational numbers are the ratios of two integers.
Which graph represents a direct variation?
I don't know all of them I guess since I can't see the graphs
Answer:
The graph of the direct variation equation is a straight line through the origin.
Step-by-step explanation:
Find the perimeter of the figure.
Line t is tangent to the circle . Find AB (click photo)
Answer:
mAB=130°
Step-by-step explanation:
The tangent-chord theorem tells us that the angle the tangent makes with the curve (65°) is half the measure of the arc (mAB):
mAB=2(65)=130°
The value of measure of arc AB is,
⇒ m AB = 130°
What is mean by Angle?
An angle is a combination of two rays (half-lines) with a common endpoint. The latter is known as the vertex of the angle and the rays as the sides, sometimes as the legs and sometimes the arms of the angle.
Given that;
Line t is tangent to the circle.
Now, We know that;
The tangent-chord theorem tells us that the angle the tangent makes with the curve is half the measure of the arc.
Hence, We can formulate;
⇒ m AB = 2 × 65°
= 130°
Thus, The value of measure of arc AB is,
⇒ m AB = 130°
Learn more about the angle visit:;
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What is the radian measure of an angle of 230º?
giving brainliest!!! easy
Answer:
216
Step-by-step explanation:
area of one side-6x6=36. 36x6=216
https://discord.com/channels/831320243858178088/831320244437254146/831690199184179221Step-by-step explanation:
Round yo The nearest ten 834,692.
Help me please!!
834,692
If the number is less than 5, you keep the the 90 the same.
If the number is more than 5, the new number would be 834,700.
The answer is
834,690Let X denote the number of times a certain numerical control machine will malfunction: 1, 2, or 3 times on any given day. Let Y denote the number of times a technician is called on an emergency call. Their joint probability distribution is given. find p(x y>2)
Answer:
[tex]P(Y = 3 | X = 2) = 0.2857[/tex]
Step-by-step explanation:
Given
The question has missing details, and it is poorly formatted.
See attachment for complete question
From the attachment, we have:
Calculate: [tex]P(Y = 3 | X = 2)[/tex]
This is calculated as:
[tex]P(Y = 3 | X = 2) = \frac{P(X = 2 | Y = 3)}{P(X = 2)}[/tex]
From the attached image, we have:
[tex]P(X = 2 | Y = 3) = 0.10[/tex] i.e. column x = 2 and row y = 3
[tex]P(X = 2) = 0.05 + 0.10 + 0.20[/tex] --- i.e. we add all columns of x = 2
This gives:
[tex]P(X = 2) = 0.35[/tex]
So, we have:
[tex]P(Y = 3 | X = 2) = \frac{P(X = 2 | Y = 3)}{P(X = 2)}[/tex]
[tex]P(Y = 3 | X = 2) = \frac{0.10}{0.35}[/tex]
[tex]P(Y = 3 | X = 2) = 0.2857[/tex]
what 2 integers are closest to the number 75
Answer:
74 and 76
Step-by-step explanation:
I'm pretty sure
Answer:
8 and 9
Step-by-step explanation:
8 x 8 = 64
9 x 9 = 81
75 is the number between 64 and 81