Answer:
Step-by-step explanation:
30 cm per year
now the tree is 5m
in 4 years the tree grew 4*30=120cm=1m 20 cm
the tree is 5+1.20 cm=6.20m tall
The Ice Chalet offers dozens of different beginning ice-skating classes. All of the class names are put into a bucket. The 5 P.M., Monday night, ages 8 to 12, beginning ice-skating class was picked. In that class were 64 girls and 16 boys. Suppose that we are interested in the true proportion of girls, ages 8 to 12, in all beginning ice-skating classes at the Ice Chalet. Assume that the children in the selected class are a random sample of the population.
Required:
Construct a 92% Confidence Interval for the true proportion of girls in the ages 8-12 beginning ice-skating classes at the Ice Chalet.
Answer:
The answer is "(0.73,0.87)".
Step-by-step explanation:
Given:
number of girls[tex]= 64[/tex]
number of boys[tex]= 16[/tex]
Total number of children[tex]= 64+16= 80[/tex]
So,[tex]n=80[/tex]
Calculating the value of the proportion which is given by girls:
[tex]\hat{p}= \frac{\text{number of girls}}{\text{total number of childrens}}[/tex]
[tex]=\frac{64}{80}\\\\=\frac{8}{10}\\\\= 0.8[/tex]
Therefore the confidence interval is:
[tex]\to \hat{p}\pm z_{(1-\frac{\alpha }{2})}\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}\\\\\to 0.8 \pm 1.75\sqrt{\frac{0.8(1-0.8)}{80}}\\\\\to 0.8 \pm 1.75 \sqrt{\frac{0.8(0.2)}{80}}\\\\\to 0.8 \pm 1.75 \sqrt{\frac{0.16}{80}}\\\\\to 0.8 \pm 1.75 \sqrt{0.002}\\\\\to 0.8 \pm 1.75 (0.04)\\\\\to 0.8 \pm 0.07\\\\\to (0.73,0.87)[/tex]
[tex]\therefore \\\\\text{The lower confidence limit} = 0.73\\\\\text{The upper confidence limit} = 0.87\\[/tex]
Choose the slope-intercept from of Y+3=4(x-5)
Answer:
y=4x-23
Step-by-step explanation:
I really need help on this question
Answer:
[tex]36 + 3x + 48 = 180 \\ 3x + 84 = 180 \\ 3x = 96 \\ x = 32[/tex]
Quincy is building a tower out of blocks that are each 5/6 of an inch in height. He decides
to stack only nine so that his tower does not topple over. How tall is the tower with the nine
blocks
Answer:
90 inches tall
Step-by-step explanation:
5/6 of 12 is 10 so the blocks are 10 inches tall each 10x9 is 90
how to get from 4 to 4/3
9.
If a 1000-cm string is cut into the ratio of 1: N:2, what is N?
Answer:
The N is 1
Step-by-step explanation:
The computation of N is given below:
Given that there is a 1,000 cm string
That cut into the ratio of 1:N:2
So if we considered the N be 1
1,000 = 1:1:2
So it would be 250 + 250 + 500 = 1000
Hence, the N be 1
So the same is relevant
Using the ratio principle, the value of N in the expression would be 2.
Given that, the length of the string = 1000 cm :
Ratio = 1 : N : 2
Since none of the value of the ratios are given, then N could be a value such as 2 ;
If N = 2 ;
Ratio total = (1 + 2 + 2) = 5(1000 / 5) × 1 = 200 cm
(1000 / 5) × 2 = 400 cm
(1000 / 5) × 2 = 400 cm
Hence, the value of N in the expression is 2.
Learn more : https://brainly.com/question/24423994
Explain the relationship between the following:
Radius & Diameter
Diameter & Circumference
- Radius & Circumference
Answer:
Step-by-step explanation:
isn't circumference the whole circle
and radius is the center from the outside
Every month, $45 is withdrawn from tom's savings account to pay his gym membership. He has enough savings to withdraw no more than $360. For how many months can Tom pay for his gym membership?
Answer: 8 months.
Step-by-step explanation: Assuming his budget for the gym membership is $360, by dividing 360 (His budget) by the monthly cost of 45, it should leave a quotient of 8. Thus meaning he can pay for 8 months worth of gym membership.
Answer:
8 mounths
Step-by-step explanation:
Since he has $360 saved and he has to pay $45 for each month that means that in order to find out for how many months Tom can go to the jym we just have to divide 260 by 45 and so be get...
360 / 45 = 8
Hannah spends $4.50 each day to buy lunch at her school. After school each day, she buys the same snack. Hannah spends $28.75 for lunch and snacks each week (5 school days). What is the cost of each snack? Write and solve an equation to model the situation. SHOW EVERY STEP.
Answer: 1.25
Step-by-step explanation: 28.75 ÷ (5 school days) so for one day the cost is $5.75 then subtract $4.50 and you get 1.25
i have a feeling this is it
Solve the system of equations
What is the area of the composite figure?
Hello! :)
[tex]\large\boxed{A = 32.5cm^{2}}[/tex]
We can use the following area to solve for the area of the trapezoid pictured:
[tex]A = \frac{1}{2}(b_{1} + b_{2})h[/tex]
Where:
h = height
b1 = bottom base
b2 = top base
Plug in the given values:
[tex]A = \frac{1}{2}(9 + 4)(5)[/tex]
Simplify:
[tex]A = \frac{1}{2}(65)\\\\A = 32.5 cm^{2}[/tex]
How do I solve this?”USING SIMPLIFYING RADICALS WITH VARIABLES”
Answer:
[tex]\sqrt{72a^8b^5} = 6a^4b^2 \sqrt{2b}[/tex]
Step-by-step explanation:
Given
[tex]\sqrt{72a^8b^5[/tex]
Required
Simplify
Express 72 as 36 * 2
[tex]\sqrt{72a^8b^5} = \sqrt{36 * 2*a^8b^5}[/tex]
Express [tex]b^5[/tex] as [tex]b^4*b[/tex]
[tex]\sqrt{72a^8b^5} = \sqrt{36 * 2*a^8*b^4*b}[/tex]
Reorder
[tex]\sqrt{72a^8b^5} = \sqrt{36 *a^8*b^4* 2*b}[/tex]
Split:
[tex]\sqrt{72a^8b^5} = \sqrt{36} *\sqrt{a^8} *\sqrt{b^4} * \sqrt{2*b}[/tex]
Simplify each term
[tex]\sqrt{72a^8b^5} = 6 * a^{\frac{8}{2}} * b^{\frac{4}{2}} * \sqrt{2*b}[/tex]
[tex]\sqrt{72a^8b^5} = 6 * a^4 * b^2 * \sqrt{2*b}[/tex]
[tex]\sqrt{72a^8b^5} = 6a^4b^2 * \sqrt{2*b}[/tex]
[tex]\sqrt{72a^8b^5} = 6a^4b^2 \sqrt{2b}[/tex]
5. Mai attempted 40 free throws and was successful 25% of them. How many free throws did
she make?
Answer:
10 were successful
Step-by-step explanation:
40x25%=10
Answer:
10
Step-by-step explanation:
40*.25 = 10
Find the area of the circle. Round your answer to the nearest tenth. The circle has a radius of 9
Answer:
I is at least ten because of nine it rounds to ten
What is 0.000000000525 in scientific notation?
A.
B.
C.
D.
Answer: Hello there!
It is 5.25 x .10^-10
Hope This Helps You!
Good Luck :)
Step-by-step explanation:
Solve for x. (11x-47) (6x-2)
Answer:
6 6 2 − 3 0 4 + 9 4
Step-by-step explanation:
This equation shows how the cost of a cab ride depends on the distance in miles. C = d + 2 The variable d represents the number of miles driven, and the variable c represents the cost in dollars. How long is a cab ride that costs $7?
3 3/10 divided by 1 4/7. divided in its lowest terms
Answer:
2.1
Step-by-step explanation:
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What do the words “some number less” mean?
Answer: a # less i beleavie...
adjective. innumerable; countless; myriad. without anumber
Don Trastmi is a respected investment consultant, but with a bit of a pessimistic attitude. He always projects correctly when the stock market goes down, but he is right only 6 out of 10 times when the market goes up. Don projects that next week the market will go up. What is the probability that the market will indeed go up
Answer:
The answer is "[tex]\bold{\frac{6}{10}}[/tex]"
Step-by-step explanation:
[tex]\to p(\frac{\text{Market is falling}}{\text{The expected demand is fall Don}}) =1\\\\\to p(\frac{\text{Market is falling}}{\text{The expected demand is rising Don}}) =0.6[/tex]
That's why the answer is [tex]\to \frac{6}{10}[/tex]
Use the following information to answer the question. Bellei Extravecchio Balsamico Tradizionale is a very expensive brand of balsamic vinegar. A twelve ounce bottle typically costs two-hundred dollars or more. In a blind taste test, a group of food experts tasted three premium balsamic vinegars, with the most expensive one being Bellei Extravecchio Balsamico Tradizionale. When asked to pick the most expensive balsamic vinegar, 92 got it right and 76 got it wrong. Calculate the observed value of the chi-square statistic. Round to the nearest hundredth.
Answer:
The observed value of the chi-square statistic is 34.71
Step-by-step explanation:
Given the data in the question';
Calculate the observed value of the chi-square statistic
The chi-square statistic will be;
∑[tex]_{i}[/tex][ ( O[tex]_{i}[/tex] - E[tex]_{i}[/tex])² / E[tex]_{i}[/tex] ]
here O[tex]_{i}[/tex] is observed frequency of [tex]_{i}[/tex]th class
E[tex]_{i}[/tex] is expected frequency of [tex]_{i}[/tex]th class
[tex]_{i}[/tex] = 1, 2 which denote the class of food experts who guess correctly and who didn't guess correctly
so
∈[tex]_{i}[/tex] = n × probability of not guessing correctly = 168 × 2/3 = 112
∈1 = n × probability of guessing correctly 168 × 1/3 = 56
so
∑[tex]_{i}[/tex][ ( O[tex]_{i}[/tex] - E[tex]_{i}[/tex])² / E[tex]_{i}[/tex] ] = [ ( 92 - 56)² / 56 ] + [ ( 76 - 112)² / 112 ]
= 1296/56 + 1296/112
= 23.14 + 11.57
= 34.71
Therefore, the observed value of the chi-square statistic is 34.71
Samuel is going to invest $1,700 and leave it in an account for 16 years. Assuming the
interest is compounded daily, what interest rate, to the nearest tenth of a percent,
would be required in order for Samuel to end up with $3,100?
Answer:
4%
Step-by-step explanation:
Given data
principal= $1,700
time= 16 years
final amount= $3,100
Applying the compound interest formula we have
r = (A/P)^1/t - 1
substitute
r=3100/1700^1/16-1
r=1.82^0.0625-1
r=1.038-1
r=0.038
Hence the rate is 0.038*100
=3.8
=4%
Answer: 3.8%
Step-by-step explanation:
PLEASE HELP!
|−1.25| + |2.5|
Explanation
-1.25+2.5=1.25
Answer:
1.25 is the answer .......
Step-by-step explanation:
hello will u be friend with me
A local charity is selling seats to a baseball game. Seats cost $16 each, and snacks cost an additional $4
each. The charity needs to raise $160 to consider this event a success.
Use the graph to approximate how many snacks the charity must sell if 5 seats are sold.
Step-by-step explanation:
16$ per seat
*5 seats 16 * 5 = 80
80$ for 5 seats
160$ - $80 = 80$
The remaining money is 80 dollars which need to be spent on snacks:
4$ per snack
80$ / by 4$ = 20 snacks
Work ✔:
20 snacks = 80$
5 seats = 80$ Charity Goal = 160$
80$ + 80$ = 160$
Final answer:
The charity must sell 20 snacks to every five seats to reach the charity goal of 160$
Hope this Helps! :D
Tell whether each function is linear or non-linear.
Function A line1 Function B
x 0 1 2 3
y 0 1 8 27
y = –x + 5
Function A is non-linear and Function B is non-linear.
Function A is linear and Function B is non-linear.
Function A is linear and Function B is linear.
Function A is non-linear and Function B is linear.
Answer:
Function A is non-linear and Function B is linear.
Step-by-step explanation:
Linear function:
Has the following format:
y = mx + b
In which m is the slope and b is the y-intercept.
In a linear function, when x changes by 1, y will always changes by the same amount.
Function A:
When x changes by 1, y can change by various amounts. So function A is non-linear.
Function B:
y = -x + 5
In the format of a linear function, so linear
There were 39 apples and 29 oranges at the grocery store. Write the ratio of apples to oranges
Answer:
39 over 29 or 39 to 29
Step-by-step explanation:
david makes a pizza with 8 slices of equal size. He covers 5 of the 8 with pepperoni. what percent of the pizza is covered with pepperoni.
A. 17.5%
B. 40%
C. 58%
D. 62.5%
Answer:
D
Step-by-step explanation:
5 ÷ 8 = 0.625 = 62.5%
The sum of three numbers is 15 the second number is 2 times the first the 3rd nimber is 30 less than the second what is the third number
Answer:
i think about it
Step-by-step explanation:
Find the inverse of the following function. g(x) = 1/x - 2
plz show work
A.) g^-1(x) = - 2/x-1
B.) g^-1(x) = 2/x-1
C.)g^-1(x) = 1/x+ 2
D.) g^-1(x) = 2/x+1
Answer: C. g^(-1) (x)= 1/(x+ 2)
Step-by-step explanation:
y=1/x-2
x=1/y-2
1/y-2=x
1/y=x+2
1=(x+2)y
1=xy+2y
xy+2y=1
(x+2)y=1
y=1/(x+2)
answer: g^(-1) (x)= 1/(x+ 2)
Can someone please helpppp me out I need serious help .
Answer:
The graph would be:
21 17
12 4
Step-by-step explanation: