Answer: 165.78 < μ < 180.22
Step-by-step explanation: Confidence Interval of a mean is a method to estimate the true population mean, i.e., we can get an interval where the true mean exists.
A confidence interval is calculated as
x ± [tex]z\frac{\sigma}{\sqrt{n} }[/tex]
z is z-score for 99% confidence, which is: z = 2.58
Then, the estimate is
173 ± [tex]2.58\frac{28}{\sqrt{100} }[/tex]
173 ± 2.58*2.8
173 ± 7.224
lower limit: 173 - 7.224 = 165.78
upper limit: 173 + 7.224 = 180.22
The 99% confidence interval of the mean is between 165.78 and 180.22 and it means that the true mean of this population is between those numbers with 99% of confidence.
I need help on this question
Answer:
Step-by-step explanation:
nth term = 3n+2
a) first term = 3+2 = 5
Second term = 3(2)+2 = 8
Third term = 3(3) +2 = 11
b) tenth term = 3(10)+2 = 32
The owner of a candle store purchases his candies from a local distributor. The graph below shows the relationship between n, the number of candles ordered, and
C, the total cost of the candle order. What is the relationship between the total cost of the candle order, c, and the number of candles ordered,
A. c=2n
B. c=4n
C. c=1/4n
D. c=1/2n
Answer:c
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
If x=−1 and y=−3, then 5(x2−7+y)=
Answer:
-60
Step-by-step explanation:
5(-1 times 2 -7 -3) = 60
The value of [tex]5(x^2-7+y)[/tex] at [tex]x=-1,y=-3[/tex] is [tex]-45[/tex].
Important information:
The given expression is [tex]5(x^2-7+y)[/tex].The given values are [tex]x=-1,y=-3[/tex].Value of expression:Substitute [tex]x=-1,y=-3[/tex] in the given expression.
[tex]5((-1)^2-7+(-3))=5(1-7-3)[/tex]
[tex]5((-1)^2-7+(-3))=5(-9)[/tex]
[tex]5((-1)^2-7+(-3))=-45[/tex]
Therefore, the value of [tex]5(x^2-7+y)[/tex] at [tex]x=-1,y=-3[/tex] is [tex]-45[/tex].
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A zoologist is recording the loss of wolves in her state. She notes the number of wolves, w, in the state on January 1. One year later, there were 84 wolves in the state, which is 23 fewer wolves than were in the state a year earlier. What is the number of wolves in the state on January 1?
Which equation can be used to find the number of wolves in the state on January 1?
w + 23 = 84
w−23=84
w−84=−23
23−w=84
Answer:
w+23=84 is the answer for that problem because in order to find the answer u need to do the opposite of subtraction
Answer:
w - 23 = 84
Step-by-step explanation:
W is the amount of wolves they had in the state for the first year. If 84 wolves is 23 less than what they had originally you would be subtracting that amount to get 84.
Hope this helps
it said in the question how do we solve of the side b
10. Pure Water Supply Co. distributes small cone shaped paper cups to dispense near water coolers. The diameter of each cup is 3 inches and the slant height of each cup is 3.5 inches. What is the approximate height of the cup? 3 in. ?
Answer:
159.2cm
Step-by-step explanation:
The volume of cone is given by :-
Given: The diameter of paper cups = 8 cm
Thus, the radius of paper cup (r)=
The height of paper cup (h)= 9.5 cm
Now, the volume of paper cup will be :-
Hence, the best approximation for the volume of the paper cup
K is between J and L. JK = 3x – 5, and KL = 2x + 1. IfJL = 16, what is JK?
A. 7
B. 8
C. 9
D. 13
Answer:
If JL = 16, we will get JK = 7
Option A is correct option.
Step-by-step explanation:
We are given:
K is between J and L
JK = 3x – 5, and KL = 2x + 1.
IfJL = 16, what is JK
We know that K is between J and L it means it divides JL into JK and KL equally or we can say that adding JK and KL we can get JL
So, We can write:
[tex]JL = JK + KL\\16=3x-5+2x+1[/tex]
Solving the expression we can find first value of x and then value of JK
[tex]16=3x-5+2x+1\\16=5x-4\\16+4=5x\\20=5x\\x=\frac{20}{5}\\x=4[/tex]
So, we get x = 4
Now, put the value of x in JK=3x-5 to get value of JK
[tex]JK = 3x-5\\JK=3(4)-5\\JK = 12-5\\JK=7[/tex]
So, if JL = 16, we will get JK = 7
Option A is correct option.
What is the opposite of 6.6
-6.8
6.8
Answer:
-6.6
Step-by-step explanation:
I don't really understand the question but I believe it is correct.
have a good day
A sweater is $43. It is on sale for 20% off. What is the final price? $34.40 $47 $8.60
Answer:
34.40
Step-by-step explanation:
43×0.2 = 8.60
43-8.60= 34.40
Expand and simplify
(4 + 2)(6-12)
Give your answer in the form b+cV2
Note: Consider the expression is [tex](4+\sqrt{2})(6-\sqrt{2})[/tex].
Given:
[tex](4+\sqrt{2})(6-\sqrt{2})[/tex]
To find:
The value of given expression in the form of [tex]b+c\sqrt{2}[/tex].
Solution:
We have,
[tex](4+\sqrt{2})(6-\sqrt{2})[/tex]
Using distributive property, we get
[tex]=4(6-\sqrt{2})+\sqrt{2}(6-\sqrt{2})[/tex]
[tex]=4(6)+4(-\sqrt{2})+\sqrt{2}(6)+\sqrt{2}(-\sqrt{2})[/tex]
[tex]=24-4\sqrt{2}+6\sqrt{2}-2[/tex]
On combining like terms, we get
[tex]=(24-2)+(6\sqrt{2}-4\sqrt{2})[/tex]
[tex]=22+2\sqrt{2}[/tex]
On comparing with [tex]b+c\sqrt{2}[/tex], we get
[tex]a=22,b=2[/tex]
Therefore, the required form is [tex]22+2\sqrt{2}[/tex].
4. How do we divide polynomials using synthetic division?
Answer:
here
Step-by-step explanation:
Step 1 : set the denominator equal to zero to find the number to put in the division box. Next, make sure the numerator is written in descending order.
Step 2 : Once the problem is set up correctly, bring the leading coefficient (first number) straight down.
Step 3 : Multiply the number in the division box with the number you brought down and put the result in the next column.
Step 4 : Add the two numbers together and write the result in the bottom of the row.
Step 5 : Repeat steps 3 and 4 until you reach the end of the problem.
Step 6 : Write the final answer. The final answer is made up of the numbers in the bottom row with the last number being the remainder and the remainder must be written as a fraction.
Select all equivalent expressions from the list.
8(7x-6)
•15x-6
•56x-48
•56x-6
•8•7x-8•6
Answer:
It should be 56x-48 and (8*7)x-(8*6)
Step-by-step explanation:
3 tickets to the museum cost $12.75. At this rate, what is the cost of:
what is the factored from for -2r-6 PLEASE HELP! WILL MARK BRAINLIEST
Answer:
-2(r+3)
Step-by-step explanation:
Answer:
i think it's the first one
SOMEONE HELP PLZ!!!!!!
Answer:b
Step-by-step explanation:
It took Sharon 1 hour and 45 minutes to pick 3 1/2 pounds of raspberries. At what unit rate did Sharon pick raspberries?
A. 1/2 pound per hour
B. 1 3/4 pounds per hour
C. 2 pounds per hour
D. 2 1/4 pounds per hour
Answer:2 pounds per hour
Step-by-step explanation:
I just did it
Answer:
2 pounds per hour
Step-by-step explanation:
Can someone Help me I'm Stuck on these three Questions
Z+(-7)=-8
13=Z+18
12=T+3
Explain your answer
Thanks For the Help:)
Answer:
1.) z = -1
2.) z = -5
3.) t = 9
Step-by-step explanation:
z + (-7) = -8
=> add 7 to both sides
z = -1
13 = z + 18
=> subtract 18 from both sides
-5 = z
12 = t + 3
=> subtract 3 from both sides
9 = t
If Delta AGM sim Delta KXD , find the value of x.
For ΔKXD, x = 21
Similar triangles:"The triangles that have corresponding sides in proportion to each other and corresponding angles are equal."
For given question,
ΔAGM is similar to ΔKXD
This means,
[tex]\frac{AG}{KX} = \frac{GM}{XD} = \frac{AM}{KD}[/tex]
Consider,
⇒ [tex]\frac{AG}{KX} = \frac{GM}{XD}[/tex]
⇒ [tex]\frac{32}{x+3} = \frac{36}{x+6}[/tex]
⇒ [tex]32\times (x+6) = 36\times (x+3)[/tex]
⇒ [tex]32x+192=36x+108[/tex]
⇒ [tex]4x = 84[/tex]
⇒ x = 21
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Which of the following expression has a terminating decimal?
6556 divided by 55
9565 divided by 11
7986 divided by 18
4546 divided by 33
Answer:
1.# = 119.2 2.# = 869.545454545 3.# = 443.66666666 4.# = 13501.3939394
Step-by-step explanation:
i don't know about the 2 one and 3 and 4 one that came up a very big number. I used a calculator though.exactly way you tired to tipe it in sorry it took so long to answer the problem!!!.
What is 149/15 as a mixed number?
Answer:
its an improper
mixed : 9 14/15
Step-by-step explanation:
its a mixed number if the number at the tops in the limit and there is a number at the side that represents whole number(s)
Answer:
the answer is 9 14/15
Step-by-step explanation:
Step 1 - Find Whole Number
Calculate out how many times the denominator goes into the numerator. To do that, divide 149 by 15 and keep only what is to the left of the decimal point:
149 / 15 = 9.9333 = 9
Step 2 - Find New Numerator
Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.
149 - (15 x 9) = 14
Step 3 - Get Solution
Keep the original denominator and use the answers from Step 1 and Step 2 to get the answer. 149/15 as a mixed number is:
As a cold front moved in, the temperature dropped 3 degrees each hour for 6 hours. What was the total temperature change after the 6 hours?
Answer:18°
Step-by-step explanation:
6x3=18
what is
4.1 - 1.25 over 0.005
Answer:
Step-by-step explanation:
4.1-1.25=2.85
lets divide
2.85/0.005=570
Answer:
2.85/0.005=570
Step-by-step explanation:
Hope this helped have an amazing day!
find the square root of 7921 ?
Answer:
±89
Step-by-step explanation:
..................
What is the solution to the system of equations below?
y=-x+6 and y-x-6
O no solution
O infinitely many solutions
O (-18, 12)
O (18, 0)
Answer:
O (-18, 12)
Step-by-step explanation:
brainiest plz
Convert 9.63x10^-3 into Standard form ASAP!
Answer:
= .00963
Step-by-step explanation:
Move the decimal 3 places to the left.
= .00963
Really need help on this math question! “Jill is draining her pool before winter arrives.
Initially the pool has 2000 gallons of water.
The pool is draining at a rate of 8 gallons per minute.
Write a function to model this situation.”
Answer:
f(x)=2000-8x
Step-by-step explanation:
2000 is initial amount that gets subtracted
8x is the amount of gallons being siphoned out, where x is t, or minutes.
Select the correct answer.
Which image shows the correct position of on the number line?
A.
A
B.
B
C.
C
D.
D
Answer:
i think A,B,C
Step-by-step explanation:
Answer:
yeah ABC
Step-by-step explanation:
i wrong this is bs if im wromg
What is h(p)=(p3+4p2-2) in distributive property
A toy Jeep is 12 1/2 inches long, while an actual jeep measures 18 3/4feet long What is the value of the ratio of the length of the toy jeep to the length of the actual jeep? What does the ratio mean in this situation?
Answer:
1:18
Step-by-step explanation:
Given that,
Length of a toy jeep = 12 1/2 inches = 25/2 inches
Length of an actual jeep = 18 3/4 feet = 75/4 feet
1 foot = 12 inches
75/4 feet = 225 inches
We need to find the ratio of the length of the toy jeep to the length of the actual jeep.
[tex]R=\dfrac{\dfrac{25}{2}}{225}\\\\=\dfrac{1}{18}[/tex]
So, the required ratio is 1:18.