Answer:
We can conclude that there is no sufficient evidence to conclude that the percentage of males aged 20 to 39 who consume the RDA of calcium has increased
Step-by-step explanation:
H0 : p = 0.489
H1 : p > 0.489
Phat = x/ n ; x = 21 ; n = 35
Phat = x/ n = 21 / 35 = 0.6
Test statistic :
(Phat - P0) ÷ sqrt[P0(1 - P0) /n]
1 - P0 = 1 - 0.489 = 0.511
Phat - P0 = 0.6 - 0.489 = 0.111
Test statistic = 0.111 ÷ sqrt[(0.489 * 0.511) / 35]
Test statistic = 0.111 ÷ sqrt(0.0071394)
Test statistic = 0.111 ÷ 0.0844949
Test statistic = 1.314
Pvalue from Tstatistic :
Pvalue = P(Z < 1.314) = 0.90558
α = 0.05
Pvalue > α ; Hence, we fail to reject the Null
We can conclude that there is no sufficient evidence to conclude that the percentage of males aged 20 to 39 who consume the RDA of calcium has increased
What is the volume of a rectangular
water tank which is 8 metres long, 4
metres wide and 3 metres high.
Answer:
3x-x+2=4
Step-by-step explanation:
1 The heights of 9 students of a class are as follows (in cm):
155, 160, 145, 150, 147, 152, 144 148
a. Find the average height of the students in this class.
The ounces of yellow paint, y, needed to mix with x ounces of blue paint to make a certain shade of green paint can be represented by the equation y = 1.5x. What is the constant of proportionality of the equation?
Answer:
The constant of proportionality of the equation is 1.5.
Step-by-step explanation:
Equation of proportional measures:
Suppose that y and x are proportional measures. This situation can be equatialized is:
y = ax
In which a is the constant of proportionality.
y = 1.5x. What is the constant of proportionality of the equation?
a = 1.5, so the constant of proportionality of the equation is 1.5.
What is the height of the tree?
Answer:
24 feet tall
Step-by-step explanation:
First you divide 6 by 10 and then you get 0.6, you then multiply 0.6 by 40 and you get 24.
Can someone help me find the answer and write a step by step explanation?
Answer: I got 144cm I'm not sure if its right though
Step-by-step explanation:
I did 12x6=72 then I did 72+72=144
What is the answer to this question
Answer:
49
Step-by-step explanation:
because, A right angle has an angle of 90° degree
so, 41+49
= 90
hence, proved.
if it helps don't forget to like and mark me
The state education commission wants to estimate the fraction of tenth grade students that have reading skills at or below the eighth grade level. In an earlier study, the population proportion was estimated to be 0.19. How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 98% confidence level with an error of at most 0.02
Answer:
A sample of 2084 is needed.
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].
The margin of error is:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In an earlier study, the population proportion was estimated to be 0.19.
This means that [tex]\pi = 0.19[/tex]
98% confidence level
So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].
How large a sample would be required in order to estimate the fraction of tenth graders reading at or below the eighth grade level at the 98% confidence level with an error of at most 0.02?
This is n for which M = 0.02. So
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.02 = 2.327\sqrt{\frac{0.19*0.81}{n}}[/tex]
[tex]0.02\sqrt{n} = 2.327\sqrt{0.19*0.81}[/tex]
[tex]\sqrt{n} = \frac{2.327\sqrt{0.19*0.81}}{0.02}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.327\sqrt{0.19*0.81}}{0.02})^2[/tex]
[tex]n = 2083.4[/tex]
Rounding up:
A sample of 2084 is needed.
29 over 11 as a decimal
Answer:
29/11 = 2 7/11
Step-by-step explanation:
Hope that this helps you out! :)
If you have any questions please put them in the comment section below this answer.
Have a great rest of your day/night!
Please thank me on my profile if this answer has helped you.
Answer:
2.636
The 63 keeps repeating itself so you can add a line above the 63 instead.
MATH PROBLEM HERE!!,,,,,,,,,
Answer: uh explain more about the question cause im bad at this sorryyyy :')
Step-by-step explanation:
have a good day im sorry i feel for weird right now heh..
a certain vehicle can drive 300miles on a tank of 20 gallons. how far can it drive on 30 gallons?
what is the answer in miles ??
PLEASE HELP ME !!!!
Answer:
450 miles
Step-by-step explanation:
First you calculate miles per gallon, which you do by dividing 300/20. This gives us 15. So you can go 14 miles on one gallon.
From there you multiply 15 by 30, since you'll be driving 30 miles. This gives us 450 miles.
Step-by-step explanation:
[tex] \frac{300}{x} \times \frac{20}{30} = \frac{20x}{20} \frac{9000}{20} x = 450miles[/tex]
For each of the following forms determine whether the following limit type is indeterminate, always has a fixed finite value, or never has a fixed finite value.
In the first case answer IND, in the second case enter the numerical value, and in the third case answer DNE.
For example:
IND: 0/0
0: 0/1
DNE: 1/0
Note that Hospital's rule (in some form) may ONLY be applied to indeterminate forms.
1. 1/-[infinity]
2. 0 - [infinity]
3. 0[infinity]
4. [infinity][infinity]
5. 0−[infinity]
6. [infinity]−[infinity]
7. [infinity]−e
8. 1[infinity]
9. π−[infinity]
10. π[infinity]
11. 1 −[infinity]
12. [infinity]1
13. [infinity]−[infinity]
14. 0/[infinity]
15. [infinity]0
16. 00
17. 10
18. 1 - [infinity]
19. [infinity]/0
20. inf - inf
Step-by-step explanation:
1. 1/-[infinity] = 0
2. 0 - [infinity] = -∞
3. 0[infinity] = 0
4. [infinity][infinity] = IND
5. 0−[infinity] = -∞
6. [infinity]−[infinity] = ∞
7. [infinity]−e = ∞
8. 1[infinity] = ∞
9. π−[infinity] = -∞
10. π[infinity] = ∞
11. 1 −[infinity] = -∞
12. [infinity]1 = ∞
13. [infinity]−[infinity] = ∞
14. 0/[infinity] = IND
15. [infinity]0 = 0
16. 00 = 0
17. 10 = 10
18. 1 - [infinity] = -∞
19. [infinity]/0 = DNE
20. inf - inf = ∞
please help me i will give u brainliest if it is CORRECT
A wooden box has the shape of a rectangular prism. The inside of the box is also a rectangular prism. What is the volume of the solid part of the box? Enter your answer below.
Answer:
1560 cm²
Step-by-step explanation:
4*5*22 = 440 cm²
25*8*10 = 2000 cm²
find the difference between the two numbers to find the volume of the solid part of the box
Brₐinliest plz close to leveling up
use division to rename each fraction given below 12/20
Answer:
[tex]Fraction = \frac{3}{5}[/tex]
Step-by-step explanation:
Given
[tex]Fraction = \frac{12}{20}[/tex]
Required
Rename using division
This simply means that we reduce the fraction
So, we have:
[tex]Fraction = \frac{12}{20}[/tex]
Divide by 4/4
[tex]Fraction = \frac{12/4}{20/4}[/tex]
[tex]Fraction = \frac{3}{5}[/tex]
if f(x)=6x-8, then f^-1(x)=
Answer:
f(x) is another way to write y.
You have y = 6x - 8.
To find the inverse, switch the x and the y and solve for the new y.
Switching gives you x = 6y - 8.
You add 8 to both sides to give you 6y = x + 8.
Divide both sides by 6 gives you the inverse as y =1/6x + 4/3
Step-by-step explanation:
What is the factorization of the expression below?
4x^2-9y^2
O A. (2x - 3)(2x + 3y)
B. (2x-3y)(2x-3y)
O C. (4x - 3y)(x + 3y)
D. (4x-3y)(x-3y)
Answer:
answer will be A. (2x-3)(2x+3y)
The price of an item has dropped to$63 today.Yesterday it was $140.find the percentage decrease
Answer:
55% drop.
Step-by-step explanation:
To find this first divide 63 by 140 to get .45. Then multiply this value by 100 to get a value of 45%. Then you know that 55% is the amount dropped.
1219 kg of Swiss cheese is packaged in 3 kg bags. Will there be any cheese left over? How do you know?
Answer:
1 cheese is left over.
Step-by-step explanation:
Given that,
1219 kg of Swiss cheese is packaged in 3 kg bags.
i.e. 3 kg bags = 1219 kg of Swiss cheese
Implies, 1 kg bag = [tex]\dfrac{1219}{3}[/tex] kg of swiss cheese
If we divide 1219 by 3, we get [tex]46\dfrac{1}{3}[/tex]. Here, 46 is the quotient and 1 is the remainder.
It means 1 cheese is left over.
Priya can bike 150 meters in 20 seconds. At this rate, how long would it take her to bike 3,000 meters? Complete the table to help determine the number of seconds.
Answer:
400 seconds
Step-by-step explanation:
150/20 m/s
vt = d
t=d/v
t = 3000m / (150/20m/s)
t = 400 sec
Leave a like and mark brainist if this helped
What is the equation of the line that is parallel to the line y = 3x - 4 and passes
through the point (4, -2)?
A. Y= 3x + 2
B. y= 3x - 14
O C. --}x
D. y = 3x + 14
Answer:
B. y = 3x - 14
HELP ME PLEASE IT WOULD BE NICE
Answer:
90 degre i cant wright the small o thing but is 90
Step-by-step explanation:
What value of x will make the equation below true?
2x=5x−6
Answer:
x=2
Step-by-step explanation:
Answer:
x = 2
Step-by-step explanation:
2x = 5x-6
Subtract 5x from each side
2x-5x = 5x-6-5x
-3x = -6
Divide by -3
-3x/-3 = -6/-3
x = 2
Jose and two of his friends are collecting baseball cards. Their goal is for the three of them to collect at least 100 cards in total. At the moment they have 43
cards. If they all plan to now collect the same number of cards, which inequality can Jose use to determine the minimum number of cards each person needs
to collect to reach their goal?
Answer:
3c + 43 >_ 100
Step-by-step explanation:
An airplane is flying from Redville to Leek.
The airplane flies 50 miles East and then 180 miles south.
How far is Leek from Redville directly?
The required distance of Leek from Reidville directly is 186.82 miles.
Given that,
An airplane is flying from Reidville to Leek. The airplane flies 50 miles East and then 180 miles south. How far is Leek from Reidville directly is to be determined.
In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,
Here,
The direct distance can be given as,
x = √[50² + 180²]
x = √34900
x = 186.82
Thus, the required distance of Leek from Reidville directly is 186.82 miles.
Learn more about arithmetic here:
brainly.com/question/14753192
#SPJ2
Find the measure of 7
Answer:
126 degree
Step-by-step explanation:
use alternate angles and linear pair
solve the system by substitution.......
Answer:
x=3
y=15
Step-by-step explanation:
y=5x
y=-4x+27
5x=-4x+27
+4x +4x
9x=27
/9 /9
x=3
y=5x
y=5(3)
y=15
HELP PLEASE QUICKLY!!!!!!!!! NO LINKS
Answer:
80mi
Step-by-step explanation:
65+0.70m <121
0.70m< 56
m<80
solve the system by substitution......
Answer:
(4,8) is the answer.
Step-by-step explanation:
To solve by substitution, you need to isolate a variable. The bottom equation already has y isolated, so we can just plug that into the other equation:
[tex]2x=-2x+16[/tex]
Add [tex]2x[/tex] to both sides in order to get rid of the [tex]-2x[/tex] on the right side:
[tex]4x=16[/tex]
Now divide by 4 on both sides to get:
[tex]x=4[/tex]
That gives us our x. Now plug in that x into either equation. I will just choose the bottom equation:
[tex]y=2(4)\\y=8[/tex]
Therefore the solution to this problem is (4,8).
Pls help meee show work if you can ty
Jay bought a guitar on sale at 45% off. The original price was $576.75.
(a)
Find the amount of discount. (Round your answer to the nearest cent.)
$
(b)
Find the sale price. (Round your answer to the nearest cent)
Answer:
317.21 (sales price)
259.53 (discount amount)
Step-by-step explanation:
First, we need to divide.
576.75/100=5.7675 (note that I will be rounding at the end)
5.7675 x 55 (100-45) = 317.2125
Rounds to: 317.21
Now, we need to find the discount amount.
576.75
-317.21
=259.53