Data from a 2006 GSS subsample show that the mean number of children per respondent was 1.87, with a standard deviation of 1.64. A total of 1,494 people answered this question. Estimate the population mean number of children per adult using a 90% confidence interval. We our 90% confident that the population mean number of children per adult is between to . Please round to the nearest tenth For example, rounding 0.843 to the nearest tenth would give 0.8.
Answer:
We are 90% confident that the population mean number of children per adult is between 1.8 to 1.9.
Step-by-step explanation:
The confidence interval for population mean is given by:-
[tex]\overline{x}\pm z^*\dfrac{\sigma}{\sqrt{n}}[/tex], where n= sample size, [tex]\overline{x}[/tex] = sample mean, z* = critical value for confidence level, [tex]\sigma[/tex]= standard deviation.
z* for 90% confidence level = 1.645
As per given, the required confidence interval is
[tex]1.87\pm (1.645)\dfrac{1.64}{\sqrt{1494}}\\\\\approx1.87\pm0.070\\\\=(1.87-0.07,\ 1.87+0.07)\\\\=(1.8, 1.94)[/tex]
Hence, We are 90% confident that the population mean number of children per adult is between 1.8 to 1.9.
middle school math problem
Answer:
12%
Step-by-step explanation:
Answer:
12%
Step-by-step explanation:
Shelly wants to have 6 rose bushes planted on her property. She asked a landscaping company to give her a bid. The contractor wanted $600 to buy and plant the bushes. Shell thinks she can do it by herself and save money. The bushes cost $40 each. How much will Shelly save by planting the bushes herself? (answer in only numbers) $
Answer:
$360
Step-by-step explanation:
If Shelly wants 6 rose bushes, and each bush costs $40, then you can multiply 6 by 40 to find the total amount of money Shelly will spend on them if she plants them herself. 6 x 40 = 240. You can then subtract 240 from 600 to find the amount of money she saves. 600 - 240 = 360
Answer:
$360
Step-by-step explanation:
im pretty sure its $360 because each bush is 40, 40x6=240. The contracter wants 600 when the bushes only cost $240 altogether. take 600 and subtract 240. you get 360:). hope that helps!!
Nancy bought a mobile phone marked at $720 at a discount of 20% and she had to pay 5% tax. If Nancy had to put 20% of what she had to pay including tax as a deposit, how much money did she have to pay for the deposit?
$___
Answer:
120.96
Step-by-step explanation:
Michelle started her dance class at 6:45 PM. She spent 85 minutes in dance class. At what time did Michelle finish her dance class?
Answer:
Michelle finished at 8:10 pm.
Step-by-step explanation:
85 mintues can be simplified to 1hr and 25 minutes, so add 85 to 6:45 and you get 8:10 :) If im wrong im sorry
The time at which Michelle finish her dance class is given by the equation A = 8 : 10 PM
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
Let the time at which Michelle finished her class be A
Now , the time required for the dance class = 85 minutes
So , the time required for the dance class = 1 hour 25 minutes
The time at which Michelle started her class = 6 : 45 PM
So , the time at which Michelle finished her class A = time at which Michelle started her class + time required for the dance class
Substituting the values in the equation , we get
The time at which Michelle finished her class A = 6 : 45 PM + 1 hour 25 minutes
On simplifying the equation , we get
The time at which Michelle finished her class A = 8 : 10 PM
Hence , the equation is A = 8 : 10 PM
To learn more about equations click :
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please help ASAPPPPP 13 points
Answer:
x^5/3y^1/3- 2nd option
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Just divide the exponent by 3
Julieta mastered 17 of of the last 20 exit tickets on the first try what percent of the exit tickets did she Master on the first try?
Answer:
Julieta mastered 85% of the exit tickets on the first try.
Step-by-step explanation:
Julieta mastered 17 of 20 total exit tickets
17 ÷ 20 = 0.85
0.85 = 85%
1 +
+ '2+3+ - + = no +1
그
Answer:
t = 1/2n-6, nER
Step-by-step explanation:
hi can you please help me with my work
Answer:
3 expodent 12
Step-by-step explanation:
help me
if i ned hellp
Answer:
The answer is B or 96!!
Step-by-step explanation:
Brainliest Please!
Answer:
Solution given:
total area of triangular prism=perimeter of base×height +2×area of traingle
={3+5+4)7+2(1/2×4×3}
=96in²
...........................
Answer:
.. .. .. .. .. .... . ..
Step-by-step explanation:
... .... .. .. ..
Carol is on the school track team. To prepare for upcoming race,he plans to run 217 miles total over the next 31 days.
A medical equipment industry manufactures X-ray machines. The unit cost C (the cost in dollars to make each X-ray machine) depends on the number of machines made. If X machines are made, then the unit cost is given by the function C(x)=0.7x^2-462x+88218 .
What is the minimum unit cost?
Answer:
$11988
Step-by-step explanation:
Given that,
The unit cost is given by :
[tex]C(x)=0.7x^2-462x+88218[/tex]
We need to find the minimum unit cost.
For minimum cost,
Put [tex]\dfrac{dC}{dx}=0[/tex]
So,
[tex]\dfrac{d}{dx}(0.7x^2-462x+88218)=0\\\\1.4x-462=0\\\\x=\dfrac{462}{1.4}\\\\x=330[/tex]
Put x = 330 in equation (1).
[tex]C(330)=0.7(330)^2-462(330)+88218\\\\=\$11988[/tex]
So, the minimum unit cost is equal to $11988.
How do I slove this question.
Answer:
c
Step-by-step explanation:
What is the approximate volume, in cubic inches, of a basketball with a diameter of 9 inches?
O 3,053.63
O 858.91
О 214.71
O 381.70
Answer:
858.91
Step-by-step explanation:
Solve the following problem then write your answer before the number.
1.)Rizza started cycling at 7:15 a.m. By 7:35 a.m,she had covered a distance of 9km.Find his average speed in km/h.
2.)A car left Barretto at 10:50 a.m and reached Pampanga at 2:20 p.m.its average speed was 84 km/h.Find the distance between Barretto and Pampanga.
3.)Aaron travalled 210 km at a uniform speed of 60 km/h.How long was his travel?
Answer:
1) Rizza's average speed is 27 km/h.
2) The distance between Barretto and Pampanga is 294 km.
3) Aaron's journey was 3.5 hours long.
Step-by-step explanation:
1) Time taken to cove the distance = 20 minutes
60 minutes = 1 hour
So that, 20 minutes = [tex]\frac{20}{60}[/tex] hours
= [tex]\frac{1}{3}[/tex] hours
Distance covered = 9 km
But,
speed = [tex]\frac{distance covered}{time taken}[/tex]
Rizza's average speed = 9 ÷ [tex]\frac{1}{3}[/tex]
= 9 x 3
= 27 km/h
Rizza's average speed is 27 km/h.
2) Time taken = 3.5 h
the car's average speed = 84 km/h
Distance between Barretto and Pampanga = average speed x time taken
= 84 km/h x 3.5 h
= 294 km
The distance between Baretto and Pampanga is 294 km.
3) The uniform speed implies that Aaron did not accelerate during his journey.
Distance covered = 210 km
uniform speed = 60 km/h
time taken = [tex]\frac{distance covered}{speed}[/tex]
= [tex]\frac{210}{60}[/tex]
= 3.5 hours
Aaron's journey was 3.5 hours long.
Find the area of a pentagon with an apothem of 7.3 and a side length of
10.6. Round to the nearest tenth if necessary.
9514 1404 393
Answer:
193.5 square units
Step-by-step explanation:
The area formula for this situation is ...
A = 1/2Pa
where P is the perimeter of the regular polygon, and 'a' is its apothem. For a pentagon, the perimeter is 5 times the side length, so the area is ...
A = (1/2)(5×10.6)(7.3) = 193.45
To the nearest tenth, the area is 193.5 square units.
How many favorable outcomes will there be for spinning blue at least once?
(I NEED HELP PLEASE)
Answer:
It depends on the spinner and how many of each color spaces are on it.
Step-by-step explanation:
A favorable outcome means an outcome that matches your criteria.
Example: You spin a spinner with 10 spaces. 3 blue, 2 red, 3 green, 2 yellow.
If you spin the spinner once, there are 3 favorable outcomes (remember a favorable outcome means landing on blue in this case).
Spinning the spinner twice would lead to at least 100 outcomes, 9 of which are favorable.
If Jacob's salary of $2,100 per month is increased by 5%, what is her new monthly salary?
Answer:
2,205
Step-by-step explanation:
Sam loaned $8,000 to his brother to make a down payment on a new home. Three
years later, he paid her back the $8,000 along with an interest of $900. If the
interest that was collected was simple interest, what was the annual interest rate?
Round answer to two decimal places.
I need help this one someone please I will Mark someone brainliest and if you post any links I will report you.
Answer:
$1,200 interest.
Step-by-step explanation:
To use the simple interest formula, I = Prt, we substitute in the values for variables that are given, ... Do you know that banks pay you to let them keep your money? ... Find the rate if a principal of $9,000 earned $1,755 interest in 3 years. ... Five years later, she paid him back the $8,000, plus $1,200 interest.
A contractor decided to build homes that will include the middle 80% of the market. If the average size of homes built is 1810 ft2 with a standard deviation of 92 ft2, find the maximum and minimum sizes of the homes the contractor should build. Assume that the size of homes is normally distributed.
Answer:
The minimum sizes of the homes the contractor should build is of 1692.24 square feet.
The maximum sizes of the homes the contractor should build is of 1927.76 square feet.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, we get the probability that the value of the measure is greater than X.
The average size of homes built is 1810 ft2 with a standard deviation of 92 ft2
This means that [tex]\mu = 1810, \sigma = 92[/tex]
Middle 80%:
Between the (100-80)/2 = 10th percentile and the (100+80)/2 = 90th percentule.
Minimum size:
The 10th percentule, which is X when Z has a pvalue of 0.1, so X when Z = -1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-1.28 = \frac{X - 1810}{92}[/tex]
[tex]X - 1810 = -1.28*92[/tex]
[tex]X = 1692.24[/tex]
The minimum sizes of the homes the contractor should build is of 1692.24 square feet.
Maximum size:
The 90th percentule, which is X when Z has a pvalue of 0.9, so X when Z = 1.28.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]1.28 = \frac{X - 1810}{92}[/tex]
[tex]X - 1810 = 1.28*92[/tex]
[tex]X = 1927.76[/tex]
The maximum sizes of the homes the contractor should build is of 1927.76 square feet.
Find the quotient (X^2+x-20)(x-4)
Answer:
x + 5
Step-by-step explanation:
[tex]\frac{x^{2} +x-20}{x-4}[/tex]
[tex]\frac{(x-4)(x+5)}{x-4}[/tex]
x + 5
Lauren bought 4 bags of popcorn for $3. What is the unit rate per bag of popcorn?
What percent of Miss Colwell's day does she spend watching Netflix if she
watches 4 hours a night?
a) 25%
b) 6%
c) 16.7%
d) 33.33%
A day is 24 hours.
She watches tv 4 out of 24 hours.
4/24 = 1/6 = 0.167 x 100 = 16.7 %
The answer is C. 16.7 %
Using 50 observations, the following regression output is obtained from estimating y = β0 + β1x + β2d1 + β3d2 + ε. Coefficients Standard Error t Stat p-value Intercept −0.81 0.36 −2.25 0.0293 x 2.94 1.20 2.45 0.0182 d1 −13.00 16.25 −0.80 0.4278 d2 5.52 1.50 3.68 0.0006 a. Compute yˆ for x = 262, d1 = 1, and d2 = 0; compute yˆ for x = 262, d1 = 0, and d2 = 1. (Round your answers to 2 decimal places.) yˆ x = 262, d1 = 1 and d2 = 0 x = 262, d1 = 0 and d2 = 1
Answer:
The answer is "789.03 and 806.16".
Step-by-step explanation:
[tex]y\^ \ \ = -0.45 + 3.78(x) -11.88(d_1) + 5.25(d_2)[/tex]
For point a:
Calculating the value for [tex]y\^ \ \ x = 212,\ \ d_1 = 1, and \ \ d_2 = 0[/tex]
[tex]y\^ = -0.45 + 3.78(212) -11.88(1) + 5.25(0)[/tex]
[tex]= -0.45 + 801.36 -11.88 + 0\\\\= 789.03[/tex]
For point b:
Calculating the value of [tex]y\^ \ \ for \ \ x = 212, \ \ d_1 = 0, and \ \ d_2 = 1[/tex]
[tex]y\^ = -0.45 + 3.78(212) -11.88(0) + 5.25(1)[/tex]
[tex]= -0.45 + 801.36 -0 + 5.25\\\\= 806.16[/tex]
What is the area of kite QRST? If necessary, round to the nearest tenth.
Answer:
its 17 I have the same one I got my quiz and I saw that we had different answers and the only same one we had was 17
Step-by-step explanation:
A farmer, Mrs. Many, grows and sells two popular varieties of tomatoes: Better Boy tomatoes and Big Beef tomatoes. Both varieties of tomato take about 75 days to mature. She is designing a study to test the effectiveness of a new soil additive to increase tomato growth. She has 40 Better Boy tomatoes and 60 Big Beef tomatoes for her experiment.
Required:
a. Preliminary research suggests that Better Boy tomatoes and Big Beef tomatoes respond differently to the additive. What sort of experimental design would you choose for this study, and why?
b. Explain why an experiment involving 40 Better Boy tomatoes and 60 Big Beef tomatoes is preferable to one involving 4 Better Boy tomatoes and 6 Big Beef tomatoes.
c. Describe a design for this experiment. Be sure to include a description of how you assign individuals to the treatment groups.
Answer:
I believe the answer is B tell me if I'm correct please
PLEAES HELP 80 POINTS with branily I really need help and I will be forever in det to the person that helped me Bec this Is 40% of my grade And please don't steal my points I need them in doing a give away soon. :)
On the coordinate plane shown below, points
G and I have coordinates (6,4) and (3,2) , respectively.
1)Design a strategy in which the Pythagorean theorem is used to calculate the straight line distance between points
G and I
2) on a coordinate plane. Use complete sentences to describe the strategy.
Use the Pythagorean theorem to determine the distance between the two points on the coordinate plane. In your final answer, include all of your calculations.
Use the distance formula and the coordinates of points
G and I
3) to prove that the Pythagorean theorem is an alternative method for calculating the distance between points on a coordinate plane. In your final answer, include all of your calculations.
Answer:
sorry wanted pionts
Step-by-step explanation:
umm sorry
Answer: :Given : points G and I have coordinates (6,4) and (3,2)
To Find : Use Pythagorean theorem to calculate the straight line distance between points G and I
Solution:
points G and I have coordinates (6,4) and (3,2)
Draw a line parallel to y axis passing through G
Draw a line parallel to x axis passing through I
Intersection point K ( 6 , 2)
IK = 6 - 3 = 3
GK = 4 -2 = 2
ΔIKG right angled triangle
Pythagoras' theorem: square on the hypotenuse of a right-angled triangle is equal to the sum of the squares of the other two perpendicular sides.
GI² = IK² + GK²
=> GI² = 3² + 2²
=> GI² = 13
=> GI = √13
using distance formula
G (6,4) and I (3,2)
= √(6 - 3)² + (4 - 2)²
= √3² + 2²
= √9 + 4
= √13
Learn More:
different approaches of Pythagoras theorem - Brainly.in
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13. In Fig. 16.10, BCDE is a rectangle , ED = 3.88 cm,AD= 10 cm ...
brainly.in/question/19749562
Find the length of side x in simplest radical form with a rational denominator.
[tex]x = \frac{7 \sqrt{3} }{2} \\ [/tex]
Explain.
[tex] \frac{7}{x} = \frac{2}{ \sqrt{3} } \\ [/tex]
[tex]7 \times \sqrt{3} = 2 \times x[/tex]
[tex]7 \sqrt{3} = 2x[/tex]
[tex] \frac{7 \sqrt{3} }{2} = x \\ [/tex]
[tex]x = \frac{7 \sqrt{3} }{2} \\ [/tex]
.
.
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GAK BISA BAHASA INGGRIScan somebody please help me out ?
Answer:
30
Step-by-step explanation:
238,900/7,917=30.1755
Answer:
30
Step-by-step explanation:
You divide the distance to the Earth's diameter:
238,900/7,917=30