Answer:
Approximately 5 intervals will not capture the true mean hour of sleep freshman get at night.
Step-by-step explanation:
The (1 - α)% confidence interval for population mean implies that there is a (1 - α) probability that the true value of the mean is included in the interval.
Or, the (1 - α)% confidence interval for the mean implies that there is (1 - α)% confidence or certainty that the true mean value is contained in the interval.
And, if 100 such (1 - α)% confidence interval for the mean are computed then 95 of these 100 interval will consist of the true mean value.
In this case it is provided that 100 researchers estimate the population mean hour of sleep freshman get at night, and each one construct a 95% confidence interval for the mean.
Then approximately 95 of these 100 confidence intervals will capture the true mean hour of sleep freshman get at night. And approximately 5 intervals will not capture the true mean hour of sleep freshman get at night.
Find the sum 5/10 plus 3/100
Answer:
53/100
Step-by-step explanation:
The first step is to find the common denominator of the two fractions. Since 10*10=100, you are adding 50/100 and 3/100. 50/100+3/100=53/100. Hope this helps!
What are the solutions to this quadratic equation? x^2+6x-5=0
Answer:
[tex]x = -3+\sqrt{14} \\x=-3-\sqrt{14}[/tex]
Step-by-step explanation:
x + 6x - 5 = 0
Since you can't factor the equation, use the quadratic formula.
Your equation is already in the form of ax + bx + c.
[tex]x=\frac{-b\frac{+}{} \sqrt{b^{2} -4ac} }{2a}[/tex]
Based on your equation a = 1 b = 6 c = -5. Plug in the numbers and solve for x.
[tex]x = \frac{-6\frac{+}{} \sqrt{6^{2} -4(1)(-5)} }{2(1)} \\x = \frac{-6\frac{+}{} \sqrt{36+20 } }{2} \\x=\frac{-6\frac{+}{}\sqrt{56} }{2} \\x=\frac{-6\frac{+}{}2\sqrt{14} }{2} \\\\x = -3+\sqrt{14} \\x=-3-\sqrt{14}[/tex]
simplify -5^5 ÷ -5^-6
Answer:
5^11
Step-by-step explanation:
-5^5 ÷ -5^-6
5^5 divide 5^-6
5^11
Ryan earned money babysitting. He earned $40, $40, $51, $32 and $22. Find the mean amount he earned.
Answer:
$37
Step-by-step explanation:
To find the mean you add up all the numbers you are given and divide the result of that by the amount of numbers.
40+40+51+32+22=185
185/5=37
Point: (2,7)
Reflected across y-axis: (-2,7)
Reflected across x-axis: ????
My options for the answer is
(-7,-2)
(-2,7)
(2,-7) which answer is it I have already tried the first one and it said it was wrong.
Answer:
(2,-7)
Step-by-step explanation:
Reflection rule for across the x-axis: [tex](x,y)\rightarrow (x,-y)[/tex]
Using the rule and point (2,7):
[tex](2,7)\rightarrow(2,-7)[/tex]
(2,-7) should be the correct answer.
Brainilest Appreciated.
A cyclinder has a volume of 703Pi cm3 and a height of 18.5 cm. What can be concluded about the cyclinder? Check all that apply. The formula for the volume of a cyclinder can be applied to find the area of the base. To find the area of the base, multiply volume and height. The radius of the cyclinder is half the height. The area of the base is 38Pi cm2. To verify the solution is correct, substitute the given measures and the solution into the equation and verify the result is a true statement.
The answer are A,D,and E
Answer:
A. The formula for the volume of a cyclinder can be applied to find the area of the base.
D. The area of the base is 38Pi cm2.
E. To verify the solution is correct, substitute the given measures and the solution into the equation and verify the result is a true statement.
I hope this helped
What’s the value of x?
Answer:
x=8
Step-by-step explanation:
4x+7x+2=90
11x=88
x=8
The circumference of a circular field is 163.28 yards. What is the diameter of the field? Use 3.14 for it and do not round your answer.
Ivan and Javier manipulated the rational expression
6
x
+
4
12
x
+
4
12x+4
6x+4
start fraction, 6, x, plus, 4, divided by, 12, x, plus, 4, end fraction. Their responses are shown below.
Ivan Javier
3
x
+
2
6
x
+
2
6x+2
3x+2
start fraction, 3, x, plus, 2, divided by, 6, x, plus, 2, end fraction
6
x
12
x
12x
6x
start fraction, 6, x, divided by, 12, x, end fraction
Which student wrote an expression that is equivalent to the original expression?
Answer:only Ivan
Step-by-step explanation:
Work out the volume of the solid shape
Give your answers in terms of pi please
*The complete question is in the picture attached below.
Answer:
756πcm³
Step-by-step Explanation:
The volume of the solid shape = volume of cone + volume of the hemisphere.
==> 270πcm³ + ½(4/3*π*r³)
To calculate the volume of the hemisphere, we need to get the radius of the hemisphere = the radius of the cone.
Since volume of cone = 270πcm³, we can find r using the formula for the volume of cone.
==> Volume of cone = ⅓πr²h
⅓*π*r²*10 = 270π
⅓*10*r²(π) = 270 (π)
10/3 * r² = 270
r² = 270 * ³/10
r² = 81
r = √81
r = 9 cm
Thus, volume of hemisphere = ½(4/3*π*r³)
==> Volume of hemisphere = ½(⁴/3 * π * 9³)
= ½(972π)
Volume of hemisphere = 486πcm³
Volume of the solid shape
= volume of cone + volume of the hemisphere.
==> 270πcm³ + 486πcm³
= 756πcm³
A plane is flying at an altitude of 13,100 ft. The angle of depression from the plane to a control tower is 12º. What is the horizontal distance from the plane to the tower? Answer rounded to the nearest tenth of a foot.
Answer:
The horizontal distance from the plane to the tower is 2784.5 feet.
Step-by-step explanation:
From the given question, the height of the control tower is not given. But;
Tan θ = [tex]\frac{Opposite side}{Adjacent side}[/tex]
Tan [tex]12^{0}[/tex] = [tex]\frac{x}{13100}[/tex]
x = 13100 × Tan [tex]12^{0}[/tex]
= 2784.4910
Thus, x = 2784.5 feet
Therefore, the horizontal distance from the plane to the tower is 2784.5 feet.
Answer:
The horizontal distance from the plane to the control tower is 61630.7 ft.
Step-by-step explanation:
Here we have that
Height of flight of plane = 13,100 ft = Opposite side of angle of elevation
Angle of depression from the plane to the control tower = 12°
Therefore, the control tower can be sighted on a straight (hypotenuse) line from the plane with an angle of depression of 12°
Angle of depression from the plane to the control tower = Angle of elevation from the control tower to the plane = 12°
Horizontal distance from the plane to the control tower = Adjacent side of the hypotenuse of the right triangle = (Opposite side of angle of elevation) ÷ (Tangent of angle of elevation)
∴ Horizontal distance from the plane to the control tower = 13,100/(tan(12°)
Horizontal distance from the plane to the control tower = 61630.7 ft. to the nearest tenth of a foot.
An experiment consists of spinning a spinner. Use the results in the table to find the experimental probability that the spinner does not land on yellow. Express your answer as a fraction in simplest form.
Red = 12
Blue = 10
Yellow = 6
A. 11/14
B. 3/7
C. 4/7
D. 3/14
Answer:
A. 11/14
Step-by-step explanation:
i hope this helps :)
The Probability of an Event P(E) is that the spinner does not land on yellow is 11/7.
An experiment consists of spinning a spinner.
Red = 12
Blue = 10
Yellow = 6
We have to determine,
The experimental probability is that the spinner does not land on yellow.
The total number of spinner= 12+10+6
The total number of spinner=28.
What is the formula for the experimental probability?Probability of an Event P(E) = Number of times an event occurs / Total number of trials.
The number of trials to not land on yellow is,
12+10=22
Therefore the Probability of an Event P(E) is given by,
[tex]P(E)=\frac{22}{28}[/tex]
[tex]P(E)=\frac{11}{14}[/tex]
Therefore option A is correct.
To learn more about the probability visit:
https://brainly.com/question/25870256
Find an equation of the circle that has center (1, -1) and passes through (5, -6).
Answer:
Step-by-step explanation:
(x-1)²+(y+1)²=41
Daniel drives his car 374 miles using 22 gallons of gas. How many miles per gallon does his car get?
Answer:
17 will be answer .....
Step-by-step explanation:
He gets 374 miles on 22 gallons ....
Amounts of miles per gallon is 374÷22
= now divide it and answer will come 17 ........
Daniel gets the car 17 miles per gallon
The calculation can be done as follows
Daniel drives the car for 374 miles
He uses 22 gallons of gas
The miles per gallon can be calculated as follows
= 374/22
= 17
Hence the answer is 17 miles per gallon
Please see the link below for more information
https://brainly.com/question/22099933?referrer=searchResults
18 POINTS will rate brainiest 6th grade math
Answer:
18 ft^2
Step-by-step explanation:
The area of a parallelogram is A=bh.
The area would be A = 9*4.
A = 36
To find the area of one trapezoid you divide the area of the parallelogram by 2.
36/2 = 18 ft^2
The population of a city in the year 2000 was 500,000. Over the following decade the population
grew by 8%. What was the population of the city in 2010?
Answer:
The closest thing I could get was 540 000
Simplify.
I need the answer to the question above.
Answer:
Third answer.
Step-by-step explanation:
To simplify, we can factor 'x' from the equation, giving us:
[tex]\frac{x(1)}{x(4 + x)} = \frac{1}{x+4}[/tex]
However, we must put a domain restriction to ensure that the denominator will not equal 0. This means that 'x+ 4' cannot equal zero. Therefore, x ≠ -4.
The third answer is correct.
What’s the correct answer for this?
Answer:
B
Step-by-step explanation:
Try it -3 squared is 9 -4 squared is 16 , 9+16 = 25 so [tex]x^{2} +y^{2} =25[/tex]
Answer:
The answer is B
Step-by-step explanation:
If you look on your picture the circle is 5 on the y axis and -5 on the y axis. and is on 5 on the x axis and -5 on the x-axis makes it 5^2 which equals 25
So if you look on the attachment i provided you can see what i mean. I graphed all equations you had you can see what i mean
help asap !! you will get branliest.
Answer:
The answer is option 1.
Step-by-step explanation:
You have to cube root to both sides in order to find p :
[tex] {p}^{3} = 8[/tex]
[tex] \sqrt[3]{ {p}^{3} } = \sqrt[3]{8} [/tex]
[tex]p = \sqrt[3]{8} [/tex]
Brian had 42 class fair tickets to sell. He sold 5/6 of the tickets. How many tickets did Brian sell?
Answer:
35
Step-by-step explanation:
Evaluate this expression: 15C4
Answer:
60c
Step-by-step explanation:
15c(4)
15c*4=60c
If this wasn't how your problem was written please let me know
Write the factors for the following numbers.
16, 36, 56, 48, 7
Pendulum formula need help asap
Answer:
T = 2*PI* sq root (L / g)
Squaring both sides
T^2 = 4PI^2 * L/g
g = 4PI^2 * L / T^2
g = 4PI^2 * 1 / (3.27)^2
g = 39.4784176044 * 1 / 10.6929
g = 3.6920215848
(Wikipedia says 3.72076, so I'd say the calculation is correct).
Step-by-step explanation:
Which is NOT a multiple of 15?
Answer:
2, 4, 6, 7, 8, 9, 10, 11, 12, 13, 14, 16 and anything else after 16
Step-by-step explanation:
Please solve this !!! ASAP !!!
Answer the picture below.Please ignore the blue dot that was a miss click.
the answer is
48 2/9 ft.
I did the equation for it
Write the intersection and union of N and W.
N being the definition of a Natural Number {1,2,3,4} and W being Whole numbers {0,1,2,3,4}
Answer:
N n W = {1,2,3,4}
N u W = {0,1,2,3,4,}
Step-by-step explanation:
N n W = {1,2,3,4}
N u W = {0,1,2,3,4,}
n - intersection means the common elements between N and W
U - represents all elements within N and W
100 PTS PLEASE HELP IM BEGGING YOU
Answer:
2√14.
This means that we can rewrite the square root of the product as the product of the square roots. We know 56=4⋅14 , so this allows us to rewrite √56 as. √4⋅√14. This simplifies to 2√14.
Step-by-step explanation:
The square root of 56 is the irrational number with approximate value 7.48331 and exact value 2√(14).
The price of the house is originally listed at 115,000. The owners are having a hard time selling it and decide to reduce the price to 103,500. What is the percentage decrease of the price of the house ?
Answer:
percentage of decrease in price of house=103,500/115,000×100%=90%
HELP PLEASEE URGENT!!!!
Which description best fits the distribution of the data shown in the histogram?
skewed right
skewed left
uniform
approximately bell-shaped
The mean hourly wage for employees in industries is currently $24.57. Suppose we take a sample of employees from the manufacturing industry to see if the mean hourly wage differs from the reported mean of $24.57 for the U.S industries. a. State the null and alternative hypotheses we should use to test whether the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the U.S industries. b. Suppose a sample of 30 employees from the manufacturing industry showed a sample mean of $23.89 per hour. Assume a population standard deviation of $2.40 per hour and compute the p-value. c. With α = .05 as the level of significance, what is your conclusion? d. Repeat the preceding hypothesis test using the critical value approach.
Answer:
(a) Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = $24.57
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] [tex]\neq[/tex] $24.57
(b) The P-value of the test statistics is 0.1212.
(c) We conclude that the population mean hourly wage in the manufacturing industry equals the population mean hourly wage in the U.S industries using P-value approach.
(d) We conclude that the population mean hourly wage in the manufacturing industry equals the population mean hourly wage in the U.S industries using critical value approach.
Step-by-step explanation:
We are given that a sample of employees from the manufacturing industry to see if the mean hourly wage differs from the reported mean of $24.57 for the U.S industries.
Suppose a sample of 30 employees from the manufacturing industry showed a sample mean of $23.89 per hour. Assume a population standard deviation of $2.40 per hour.
Let [tex]\mu[/tex] = population mean hourly wage in the manufacturing industry.
(a) Null Hypothesis, [tex]H_0[/tex] : [tex]\mu[/tex] = $24.57 {means that the population mean hourly wage in the manufacturing industry equals the population mean hourly wage in the U.S industries}
Alternate Hypothesis, [tex]H_A[/tex] : [tex]\mu[/tex] [tex]\neq[/tex] $24.57 {means that the population mean hourly wage in the manufacturing industry differs from the population mean hourly wage in the U.S industries}
The test statistics that would be used here One-sample z test statistics as we know about the population standard deviation;
T.S. = [tex]\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }[/tex] ~ N(0,1)
where, [tex]\bar X[/tex] = sample mean wage in the manufacturing industry = $23.89/hr
σ = population standard deviation = $2.40/hr
n = sample of employees from the manufacturing industry = 30
So, the test statistics = [tex]\frac{23.89-24.57}{\frac{2.40}{\sqrt{30} } }[/tex]
= -1.55
The value of z test statistics is -1.55.
(b) Now, the P-value of the test statistics is given by;
P-value = P(Z < -1.55) = 1 - P(Z [tex]\leq[/tex] 1.55)
= 1 - 0.9394 = 0.0606
For two-tailed test P-value is calculated as = 0.0606 [tex]\times[/tex] 2 = 0.1212
Since, the P-value of the test statistics is higher than the level of significance as 0.1212 > 0.05, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.
Therefore, we conclude that the population mean hourly wage in the manufacturing industry equals the population mean hourly wage in the U.S industries.
(d) Now, at 0.05 significance level the z table gives critical values of -1.96 and 1.96 for two-tailed test.
Since our test statistic lies within the range of critical values of z, so we have insufficient evidence to reject our null hypothesis as it will not fall in the rejection region due to which we fail to reject our null hypothesis.
Therefore, we conclude that the population mean hourly wage in the manufacturing industry equals the population mean hourly wage in the U.S industries.