Answer:
[tex]CI = (0.028636,0.071364)[/tex]
I am 95% confident that the true proportion of couples where the wife is taller than her husband is captured in the interval (.028, .071)
Step-by-step explanation:
Given
[tex]n = 400[/tex]
[tex]x = 20[/tex] --- taller wife
[tex]y = 380[/tex] --- shorter wife
Required
Determine the 95% confidence interval of taller wives
First, calculate the proportion of taller wives
[tex]\hat p = \frac{x}{n}[/tex]
[tex]\hat p = \frac{20}{400}[/tex]
[tex]\hat p = 0.05[/tex]
The z value for 95% confidence interval is:
[tex]z = 1.96[/tex]
The confidence interval is calculated as:
[tex]CI = \hat p \± z \sqrt{\frac{\hat p (1 - \hat p)}{n}}[/tex]
[tex]CI = 0.05 \± 1.96* \sqrt{\frac{0.05 (1 - 0.05)}{400}}[/tex]
[tex]CI = 0.05 \± 1.96 * \sqrt{\frac{0.0475}{400}}[/tex]
[tex]CI = 0.05 \± 1.96 * \sqrt{0.00011875}[/tex]
[tex]CI = 0.05 \± 1.96 * 0.01090[/tex]
[tex]CI = 0.05 \± 0.021364[/tex]
This gives:
[tex]CI = (0.05 - 0.021364,0.05 + 0.021364)[/tex]
[tex]CI = (0.028636,0.071364)[/tex]
please help i don't understand.
Answer:
75.4
Step-by-step explanation:
Hello There!
We can easily solve for the volume of the cone using this formula
[tex]V=\pi r^2\frac{h}{3}[/tex]
where r = radius and h = height
we are given that the radius had a length of 3 ft and the height has a length of 8 ft
Because we know the values all we have to do is plug them into the formula
so
[tex]V=\pi 3^2\frac{8}{3}\\3^2=9\\9\pi =28.27433388\\28.27433388*\frac{8}{3} =75.39822369[/tex]
so we can conclude that the volume of the cone is 75.39822369 ft³
Finally we round to the nearest hundredth and get that the answer is 75.4
3.1 Find the HCF and LCM for the following three numbers: 868, 372 and 992
Answer:
HCF of 868,372,and 992 is 124
LCM of 868,372,and 992 is 20832
hope this answer helps you...
Solve the inequality -5(x - 1) > -40, and graph the solution on a number line.
Answer:
x<9
Step-by-step explanation:
-5(x-1)>-40
x-1>-40/-5
x-1>8
x>8+1
x>9
x<9
The solution of the inequality - 5(x - 1) > -40 will be;
⇒ x < 9
And, The solution of the inequality is shown in number line.
What is Inequality?
A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The inequality is,
⇒ - 5(x - 1) > -40
Now,
Solve the inequality as;
The inequality is,
⇒ - 5(x - 1) > -40
⇒ - (5x - 5) > - 40
⇒ 5x - 5 < 40
Add 5 both side,
⇒ 5x - 5 + 5 < 40 + 5
⇒ 5x < 45
Divide by 5, we get;
⇒ x < 9
Thus, The solution of the inequality - 5(x - 1) > -40 will be;
⇒ x < 9
And, The solution of the inequality is shown in number line.
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The cost to place an ad in a weekly paper is $5.50 per line,i.The print set-up fee is $7.50.
Answer:
whats the question?
Step-by-step explanation:
CAN SOMEONE HELP PLS :D will mark brainliest ;)
Answer: the second one/ \/36/6
Step-by-step explanation:
Help me pls, tysm! I will give brainly if you give me the right answer, tysm! I need help on number 6 btw
Answer: 96 feet
Step-by-step explanation:
evan has 4 chocolate bars with a total of 48 pices are in each bar
Answer:
what is your question? it seems the answer would be 12 just by looking at this, but still what is the question exactly?
Step-by-step explanation:
Answer: if you are dividing the answer will be 12
(i wrote two since it dosent say what we need to do
if you are multiplying you answer will be 192
hope it helped!
Step-by-step explanation:
Select all the figures that are shaded to represent 60% of the whole. Whoever answers correctly and first will be marked as brainliest!!!!
Answer:
the first one
Step-by-step explanation:
Find the distance between the points (9,3) and (–5,3).
Answer:
The answer to the question provided is 14.
Step-by-step explanation:
》The Distance Formula:
[tex] d = \sqrt{(x_2 - x_1)^{2} + (y_2 - y_1)^{2} } [/tex]
》Plug in.
[tex]d = \sqrt{( - 5 - 9)^{2} + (3 - 3) ^{2} } \\ d = \sqrt{( - 14)^{2} + (0) ^{2} } \\ d = \sqrt{196 + 0} \\ d = \sqrt{196} \\ d = 14[/tex]
9. What is the distance along the x axis from order pairs -8, 6 and 4,6
a. 4 units
b. 8 units
c. 16 units
d. 12 units
Answer:
12 units
Step-by-step explanation:
got it right on edg
Area = 79.2 ft2
9 ft
4.2 ft
h
what is the distance between (3,-5), (-3,0)
Answer: 11 units
Step-by-step explanation:
-3 and 3 are 6 units apart, so that would be 6 units, and when you add the -5 into the problem, the 6 units become 11 units. Hope this helped :)
Answer:
Exact Form:
√ 61
Decimal Form:
7.81024967 …
You want to create a triangle with sides of a, b, and c. Which of the following inequalities should be true?
a+b c
a-b>c
a-b
Find the percent change from the first value to the second.
20;30
The change is (select)
Answer:
increase by 10%.
You add 11/4 tablespoons of olive oil for every 3/2 tablespoons of balsamic vinegar to make 34 tablespoons of bread dip. How much olive oil and balsamic vinegar do you use?
You use ___ tablespoons of olive oil and
___ tablespoons of balsamic vinegar.
Answer:
The amount of olive oil and balsamic vinegar to use are;
You use 22 tablespoons of olive oil and 12 tablespoons of balsamic vinegar
Step-by-step explanation:
From the question, we have;
The number of tablespoons of olive oil added for every 3/2 tablespoon of balsamic vinegar = 11/4 tablespoons
Therefore, in the mixture, the ratio of olive oil to balsamic vinegar = 11/4:3/2
Let 'x', and 'y' represent the the number of tablespoons of olive oil and balsamic vinegar, in the mixture 34 tablespoons of bread dip, we can write;
x + y = 34 tablespoons
x/y = (11/4)/(3/2) = 11/6
∴ x = 11/6 × y
∴ x + y = 11/6 × y + y = 34
11/6 × y + y = 17·y/6 = 34
17·y = 34 × 6 = 204
y = 204/17 = 12
The number of tablespoons of balsamic vinegar in the bead dip, y = 12 tablespoons of balsamic vinegar
x = 11/6 × y = 11/6 × 12 = 22
The number of tablespoons of olive oil in the bead dip, x = 22 tablespoons of olive oil.
Pls someone help me
Answer:
Step-by-step explanation:
455
1. does a rectangle have opposite sides parallel
2. does a parallelogram have opposite sides parallel
3. does a trapezoid have opposite sides parallel
4. does a rhombus have opposite sides parallel
Answer:
yes I guess a rectangle has opposite sides parallel parallelogram has opposite sides parallel a trapezium has opposite sides parallel a rhombus has opposite sides parallel if I'm wrong please connect me right away thank you.
Answer:
1.Yes, 2 pairs
2.Yes, 2 pairs
3.Yes, 1 pair
4.Yes, 2 pairs
Step-by-step explanation:
1.Each pair of co-interior angles are supplementary, because two right angles add to a straight angle, so the opposite sides of a rectangle are parallel. This means that a rectangle is a parallelogram, so: Its opposite sides are equal and parallel. Its diagonals bisect each other.
2.A parallelogram is a four sided figure where the opposite sides are parallel.
3.A trapezoid is a quadrilateral with one pair of opposite sides parallel. It can have right angles (a right trapezoid), and it can have congruent sides (isosceles), but those are not required.
4.Every rhombus has two diagonals connecting pairs of opposite vertices, and two pairs of parallel sides.
what are remainder theorem
Answer:
Step-by-step explanation:
When doing synthetic division, if the remainder is zero, we know that the divisor is a root of the polynomial. If the remainder is not zero, the remainder is the function vaue for that divisor.
Consider the first three terms of the sequence below.
14000, 12600, 11340
Complete a recursively-defined function to describe this sequence.
f(1) = _____
f(n) = f(n - 1) · ___, for n ≥ 2
The next term in the sequence is ____.
Answer:
f(1) = 14000
f(n) = f(n - 1) · 0.9 , for n ≥ 2
The next term in the sequence is 10206 .
Step-by-step explanation:
First we try to find the type of sequence it is.
Is there a common difference?
12600 - 14000 = -1400
11340 - 12600 = -1260
There is no common difference, so it is not an arithmetic sequence.
12600/14000 = 0.9
11340/12600 = 0.9
There is a common ratio, so this is a geometric sequence.
Each term is 0.9 times the previous term.
The next term is:
11340 * 0.9 = 10206
Answer:
f(1) = 14000
f(n) = f(n - 1) · 0.9 , for n ≥ 2
The next term in the sequence is 10206 .
Oscar is drving 85 miles per hour. At this rate, how many miles will he drive in 2 1/2 hours?
Answer:
212.5 miles
Step-by-step explanation:
the expression 8+2t can be used to find the total cost of admission and t amusement rides at a country fair. what statement is true?
the anwser is going to be A
Francesca makes and sells jewelry. She uses the equation p = "285 + 45n to model the situation, where p is the amount of profit she
makes and n is the number of necklaces she sells. What does the y-intercept
The y-intercept for the given equation p = 285+45n is 285.
What is Y intercept?The Y-intercept is the point where the graph intersects the y-axis.
Y-intercept formulaTo find the y-intercept of a function y = f(x), substitute x=0 and solve for y.
According to the given question
we have an equation p = 285+45n
where,
p is the amount of profit
and, n is the number of necklaces
Let, p = y and n = x
then the given equation becomes y=285+45x
substitute, x = 0 in equation y = 285+45x
⇒ y = 285
Hence, the y-intercept of the equation p=285+45n is 285.
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At a certain school, 8/9 of the students are boys. Today, 2/5 of the boys brought their lunch. What fraction of the students are
boys who brought their lunch today?
Answer:
the answer is I think 2/3
Fraction of boys brought lunch today is 16/25.
Here,
Given that:
The ratio of boys at certain school = 8/9
And 2/5 of boys brought lunch today
We have to find fraction of boys brought lunch today.
What is fraction?
Fractions denote the parts of a whole or collection of objects.
Now,
The ratio of boys at certain school = 8/9
And 2/5 of boys brought lunch today
Since, the ratio of boys 8/9 denotes 8 boys out of 9 students
Therefore, number of boys = 8
Thus, Fraction of boys brought lunch today = 8 x 2/5
= 16/25
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10
Write the equation that describes this situation. Use^for exponents.
7000 dollars is placed in an account with an annual interest rate of 6.5%
for 15 years.
Answer:
15(6.5% * 7000)+7000=y
Step-by-step explanation:
15(6.5% * 7000)+7000=y
im not sure tho
please help me with this one
Answer:
A: 112 cubic inches
Step-by-step explanation:
A = l*w*h/3 = (6*8*7)/3
A = 336/3
Kiara made a square baby blanket she decided to add one foot of material to one side then cut 4 inches of material off from the bed to sit outside of area of the rest salting blankets in 960 square inches find the area of the original blanket
Answer:
Step-by-step explanation:
960 which is the area u divide by the one foot which is 144 square units to get your answer,6.66666666667
in triangle ABC with the right triangle at vertex C, sin a=35/7
I asked some friends how old they think they will be when they get married. Here are their answers:
{42, 38, 27, 53, 39, 29, 52}
Put this data in order from least to greatest.
Answer:
27,29,38,39,42,52,53
Step-by-step explanation:
5x-2y=15
2x+6y=-11
solve by substitution or equal values method
Answer:
Point form -
[tex](2-\frac{5}{2})[/tex]
Equation form -
[tex]x=2, y=-\frac{5}{2}[/tex]
Step-by-step explanation:
if you have any questions feel free to ask
If function g is a quadratic function that contains the points (-3,5) and (0,14), which statement is true over the interval [-3,0]?
Your answer for this question is B
The average rate of change of f(x) is less than average rate of change of g(x). Then the correct option is C.
What is a function?A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.
The function f(x) is given in the table, then the rate of change of the function f(x) will be
Rate of change of f(x) = (-2 + 4.5) / (-2 + 3)
Rate of change of f(x) = 2.5
If function g is a quadratic function that contains the points (-3,5) and (0,14).
Then the rate of change of the function g(x) will be
Rate of change of g(x) = (14 - 5) / (0 + 3)
Rate of change of g(x) = 9/3
Rate of change of g(x) = 3
Thus, the average rate of change of f(x) is less than average rate of change of g(x).
Then the correct option is C.
More about the function link is given below.
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