Answer:
The 92% Confidence Interval for the true proportion of girls in the ages 8 to 12 beginning ice-skating classes at the Ice Chalet is (0.722, 0.878).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
64 + 16 = 80 children, of which 80 are girls. So
[tex]n = 80, p = \frac{64}{80} = 0.8[/tex]
92% confidence level
So [tex]\alpha = 0.08[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.08}{2} = 0.96[/tex], so [tex]Z = 1.75[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 - 1.75\sqrt{\frac{0.8*0.2}{80}} = 0.722[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 + 1.75\sqrt{\frac{0.8*0.2}{80}} = 0.878[/tex]
The 92% Confidence Interval for the true proportion of girls in the ages 8 to 12 beginning ice-skating classes at the Ice Chalet is (0.722, 0.878).
Madison Plans to walk and run a total of 1 4/5 mi on a treadmill. She has already walked 2/5 mi and plans to run the rest of the distance. Madison wants to know the distance she needs to run. Let r be the distance in miles that Madison needs to run. Describe this situation in an equation. Pls I need help on this. This is Iready.
Answer:
its 1 4/5 = 2/5 + r
Step-by-step explanation:
The distance in miles that Madison needs to run is [tex]1 \frac{2}{5}[/tex] miles.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
Given that, Madison Plans to walk and run a total of [tex]1\frac{4}{5}[/tex] =9/5 miles on a treadmill.
Let r be the distance in miles that Madison needs to run.
Now, the equation is
2/5 +r =9/5
r= 9/5 - 2/5
r =7/5
r = [tex]1 \frac{2}{5}[/tex] miles
Therefore, the distance in miles that Madison needs to run is [tex]1 \frac{2}{5}[/tex] miles.
To learn more about an equation visit:
https://brainly.com/question/14686792.
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Solve for x. 3(2x-1)+7=46. What’s x?
Answer:
The correct answer is,
[tex]x = 7[/tex]
Answer:
x= 7
Step-by-step explanation:
3(2x‐1) + 7 = 46
6x‐3+7= 46
6x+4= 46
6x = 42
x=42/6
x=7
Learn with an example
9
Find the slope of the line y = x
x-
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Submit
Work it out
Not feeling ready yet? This can help:
Answer:
1Step-by-step explanation:
The standard form of linear equation of a line is expressed as;
y = mx+c
m is the slope
c is the y - intercept
Compare with the given equation
mx = x
m = x/x
m = 1
Hence the slope of the line is 1
describe the pattern below . write another pattern that has the same fourth value describe your pattern
hello goodbye believe 195
An urban planner examines police-report data for many cities and towns and discovers that cities with professional football teams tend to have higher numbers of reported small crimes, such as burglary.
Which statement best explains the effect of confounding in this relationship?
A.) The football teams are a direct cause of increased small crimes.
B.) In cities without football teams, the small crimes often go unreported.
C.) Cities without football teams most likely have lower rates of reported small crimes.
D.) Cities with football teams tend to be large, which means they have more reported small crimes.
Answer: The answer is D
Step-by-step explanation:
Answer:
D) Cities with football teams tend to be large, which means they have more reported small crimes.
Step-by-step explanation:
Confounding refers to the phenomenon in which an apparent relationship between two variables is actually caused by the influence of a third, confounding variable. In this case, it is possible that the relationship between the presence of a football team and the number of reported small crimes is confounded by the size of the city. It is possible that cities with football teams tend to be larger, and larger cities generally have more reported small crimes, regardless of whether they have a football team. This could explain the apparent relationship between football teams and small crimes. It is important for researchers to consider and control for potential confounding variables in order to accurately interpret the relationships between variables in their study.
(b) Claude
goes to school by bus.
The probability that the bus is late is 0.1. If the bus is late, the
probability that Claude is late to school is 0.8.
If the bus is not late, the probability that Claude is late to school is 0.05.
i) Calculate the probability that the bus is late and Claude is late to school.
ii) Calculate the probability that Claude is late to school.
iii) The school term lasts 56 days.
How many days would Claude expect to be late?
Answer:
i) 0.08 = 8% probability that the bus is late and Claude is late to school.
ii) 0.125 = 12.5% probability that Claude is late to school.
iii) Claude should expect to be late for 7 days.
Step-by-step explanation:
i) Calculate the probability that the bus is late and Claude is late to school.
0.1 probability that the bus is late.
If the bus is late, 0.8 probability that Claude is late to school. So
[tex]p = 0.1*0.8 = 0.08[/tex]
0.08 = 8% probability that the bus is late and Claude is late to school.
ii) Calculate the probability that Claude is late to school.
8%(when the bus is late) plus 0.05 of 1 - 0.01 = 0.9. So
[tex]p = 0.08 + 0.05*0.9 = 0.08 + 0.045 = 0.125[/tex]
0.125 = 12.5% probability that Claude is late to school.
iii) The school term lasts 56 days. How many days would Claude expect to be late?
12.5% of 56. So
0.125*56 = 7
Claude should expect to be late for 7 days.
4 1/4 divided by 3 and 1/2
Answer:
1 3/14
Step-by-step explanation:
1. You want to turn the fractions into mixed numbers.
2. 4 1/4 is equal to 17/4
3. 3 1/2 is equal to 7/2
4. I have a fraction calculator and got 1 and 6/28.
5. To solve it yourself, flip 7/2 to make it 2/7 and change from division to multiplication.
Looked like: [tex]\frac{17}{4}[/tex] ÷ [tex]\frac{7}{2}[/tex]
Looks like: [tex]\frac{17}{4}[/tex] · [tex]\frac{2}{7}[/tex]
17 times 2 is 34 and 4 times 7 is 28. Leaving us with 34/28.
Now just simplify and get an answer of 1 and 3/14.
Hope this helps! Please vote me as Brainliest. Let me know if you need more of an explanation. Remember, cheating is never the answer. Try your best before you seek answers. Hope it's not too late. Good luck with whatever you are doing! Have an amazing day!
Today Christina is carrying her history textbook and her lunch in her backpack. If the history textbook weighs 1/10 of a pound and her lunch weighs 4 1/10 pounds, how much weight is in Christina's backpack?
Answer:
5/10 pounds just add 1 + 4 ( i think )
Answer:
42/10 or 4 2/10 is the answer
Step-by-step explanation:
Hope this Helps! :)
HURRY! I NEED THIS ANSWER FAST!!!!
What is the surface area of a cylinder with the given dimensions? Express your answer to nearest hundredth. Use 3.14 for pi. Radius = 8 cm.; Height = 12 cm.
Please select the best answer from the choices provided
A. 980.45 sq. cm
B. 1280.34 sq. cm
C. 876.34 sq. cm
D. 1004.80 sq. cm
What's 15,589+384 it's for my math
Answer:
15973
Step-by-step explanation:
Answer: 15,589 + 384 = 1,5973
Step-by-step explanation:
can someone help me with this problem
Mr. Lewis is having the exterior of his house painted. The painters charge $35 per hour plus the cost
of materials. After 20 hours of work, Mr. Lewis owes the painters $840. Which equation represents
this situation?
A
840 = 35 x + 20
B
840 = 35 x + 45
C
y =mx
D
20=840 x + 20
Answer:
A i think
Step-by-step explanation:
What is a algebraic expression and how is it different from and equation?
Answer:
An expression is a number, a variable, or a combination of numbers and variables and operation symbols. An equation is made up of two expressions connected by an equal sign.
Step-by-step explanation:
Rewrite the fraction in the sentence below as a percentage.
From 175 yards away, a marksman hit 31/50 of the targets last year.
Answer:
62%
Step-by-step explanation:
31/50 is also equal to 62/100 (if we multiply the numerator and denominator by 2). 62/100 is 62%.
Answer:
62%
Step-by-step explanation:
31/50=0.62.
0.62 as a percent would be 62%
The graph plots four equations, A, B, C, and D: Line A joins ordered pair negative 6, 16 and 9, negative 4. Line B joins ordered pair negative 2, 20 and 8, 0. Line C joins ordered pair negative 7, negative 6 and 6, 20. Line D joins ordered pair 7, 20 and 0, negative 7. Which pair of equations has (0, 8) as its solution? (4 points) Equation A and Equation C Equation B and Equation C Equation C and Equation D Equation B and Equation D
Answer:
d is 6,6 and 4,is -94 and plus 8
Step-by-step explanation:
hugo sells handmade key chains online. Yesterday he made 6 keychains in 30minutes. hugo wants to make 9 keychains today . if hugo works at the same rate today how long will it take him to make the keychains
Answer:
45 minutes, hope this helps
Step-by-step explanation:
Answer:
45 minutes.
Step-by-step explanation:
Set up a ratio.
6 keychains: 30 minutes
divide both sides of the ratio by 6
1 keychain: 5 minutes
multiply both sides of the ratio by 9
9 keychains: 45 minutes
It will take him 45 minutes.
12+20/x = 10 solve for x
Answer: x=−10 ..,.,.,.,.,.,.,..,.,.,
Which is greater, 5/6, 7/8 or 5/8?
Answer:
5/6 is greater
Step-by-step explanation:
Your friend graphs the function represented by the input-output table. Is your friend correct? Explain your reasoning.
Answer:
Incorrect.
Step-by-step explanation:
My friend is incorrect because the input values was plotted along the y-axis while the output values were plotted along the x-axis, which makes the graph totally incorrect.
The right way to plot the graph is to plot the input-values on the x-axis, while the corresponding output values should be plotted on the y-axis.
Match color lines to equations 8th grade math
Answer:
you have to provide more I formation
Step-by-step explanation:
you have you provide more Info I cant give you an answer
Use the formula y = Kx to find K when:
a. x = 3, y = 21 , K =
b. x = 4, y = 24, K =
Step-by-step explanation:
a.
[tex]y = kx \\ 21 = k \times 3 \\ 21 \div 3 = \frac{(k \times 3)}{3} \\ 7 = k[/tex]
b.
[tex]y = kx \\ 24 = k \times 4 \\ \frac{24}{4} = \frac{(k \times 4)}{4} \\ 6 = k[/tex]
Find the area of each shaded region each outer polygon is regular
See the picture
Answer:
Area of the shaded region = 3.46 square units
Step-by-step explanation:
Measure of the interior angle of a regular polygon = [tex]\frac{(n - 2)\times180}{n}[/tex]
From the picture attached,
Number of sides of the given polygon 'n' = 6
Interior angle (∠BAF) of the given polygon = [tex]\frac{(6 - 2)\times 180}{6}[/tex]
= 120°
Measure of ∠BAC = [tex]\frac{120}{4}[/tex]
= 30°
Now we apply sine rule in ΔAGB,
sin(30°) = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{BG}{AB}[/tex]
BG = AB[sin(30°)]
= [tex]2\times \frac{1}{2}[/tex]
= 1
By applying cosine rule in ΔABG,
cos(30°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]
= [tex]\frac{AG}{AB}[/tex]
AG = AB[cos(30°)]
= [tex]2\times \frac{\sqrt{3} }{2}[/tex]
= [tex]\sqrt{3}[/tex]
AC = 2(AG)
= 2√3
Area of ΔABC = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]
= [tex]\frac{1}{2}(AC)(BG)[/tex]
= [tex]\frac{1}{2}(2\sqrt{3} )(1)[/tex]
= [tex]\sqrt{3}[/tex]
Area of the shaded region = Area of ΔABC + Area of ΔFED
= 2(Area of ΔABC)
= 2√3
= 3.46 square units
Pleasssseeeee helppppp
1)4÷30=7.5 2) 5÷10=2
7.5×4=30 (a)x=7.5 2×5=10 x=2
pls i need brainiest
What is M<1? Please help me
Answer:
Step-by-step explanation:
A remote interior angle is one that shares only 1 leg with the exterior angle. Every triangle has 2 remote interior angles for each exterior angle.
<1 is a remote interior angle
81 is 1 remote interior angle
127 is an exterior angle
<1 + 81 = 127 Subtract 81 from both sides
<1 = 127 - 81
<1 = 46
find the perimeter of a rectangle if one of its sides is 14 and the area is 98
Answer:
42
Step-by-step explanation:
Area of a rectange = bh so 98=14x
98 divided by 14 = 7
Perimeter= 2x+2y
so 2x+2y -> 28+14=42
A mortgage is in the amount of $400,000. The origination fee is 0.2%, the intangible tax is 0.4%, and there are 1.9 discount points. Which of the
following is the total cost of the origination fee, intangible tax, and discount points?
$9,200
$10,000
$7,600
$2,400
Someone please help me :(
Answer:
Total cost of All fee = $10,000
Step-by-step explanation:
Given:
Mortgage amount = $400,000
Origination fee = 0.2%
Intangible tax = 0.4%
Discount point = 1.9
Find:
Total cost of All fee
Computation:
Total cost of All fee = (Mortgage amount)(Origination fee) + (Mortgage amount )(Intangible tax) + (Mortgage amount )(Discount point)
Total cost of All fee = ($400,000)(0.2%) + ($400,000)(0.4%) + ($400,000)(1.9/100)
Total cost of All fee = $800 + $1,600 + $7,600
Total cost of All fee = $10,000
Mai made $216 for 18 hours of work.
At the same rate, how many hours would she have to work to make $96?
Answer:
8 hours
Step-by-step explanation:
216 ÷ 18 =12 that means Mai gets paid $12 an hour so take the $96 and ÷ by 12 and you get 8 hours
Answer:
Step-by-step explanation:
First you do 216 divided by 18 which is 12.
Now we know she makes 12 dollars an hour.
Next you divide 96 by 12 because that's how much Mai makes in an hour. 96 divided by 12 is 8 so she would have to 8 hours in order to make 96 dollars.
Can the following question be represented by 1/2x5
Diego lives 5 miles from school and Elena lives 1/2 as far as Diego how many miles does Elena live to go?
Please explain your answer
Answer:
yes it can be represented by 1by2×5
Answer:
yes
Step-by-step explanation:
because it can
Tell whether the slope of the line is positive,
negative, zero, or undefined.
Patty bought a baby stroller on sale for $301.75. The original price of the stroller was $355. Find the discount rate.
Answer:
15%
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just wouldn’t want to write it if you don’t want me to :)
