Answer:
The 99% confidence interval is [tex] 165.776 < \mu < 180.224 [/tex]
Step-by-step explanation:
From the question we are told that
The sample size is n = 100
The sample mean is [tex]\= x = 173 \ days[/tex]
The population standard deviation is [tex]\sigma = 28 \ days[/tex]
From the question we are told the confidence level is 99% , hence the level of significance is
[tex]\alpha = (100 - 99 ) \%[/tex]
=> [tex]\alpha = 0.01[/tex]
Generally from the normal distribution table the critical value of [tex]\frac{\alpha }{2}[/tex] is
[tex]Z_{\frac{\alpha }{2} } = 2.58 [/tex]
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }[/tex]
[tex]E = 2.58 * \frac{28 }{\sqrt{100} }[/tex]
=> [tex]E = 7.224 [/tex]
Generally 95% confidence interval is mathematically represented as
[tex]\= x -E < \mu < \=x +E[/tex]
=> [tex] 173 -7.224 < \mu < 173 + 7.224 [/tex]
=> [tex] 165.776 < \mu < 180.224 [/tex]
–5(–2) =
please help :) :D
Answer:
10
Step-by-step explanation:
-5 * -2 = 10
cuz - * - = +
and 5 * 2 = 10
hence 10
Answer:
-7
Step-by-step explanation:
-5(-2)
-5-2
-7
..........
Which number can be written on the line to make the inequality true?
3.91 less-than blank less-than 4.23 less-than 4.44
A number line going from 3.9 to 4.5 in increments of 0.1.
3.7... 3.9....4.1.... or 4.3 PLEASE HURRY JUST AWNSER
Answer:
3.91 < 4.1 < 4.23 < 4.44
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Simplify the following. -(3z)2
Answer:
the answer is ; -6z
Step-by-step explanation:
Find the 61st term of -12, -28, -44,
Answer:
[tex]a_{61}=-972[/tex]
Step-by-step explanation:
Arithmetic Sequences
The arithmetic sequences are identified because any term n is obtained by adding or subtracting a fixed number to the previous term. That number is called the common difference.
The equation to calculate the nth term of an arithmetic sequence is:
[tex]a_n=a_1+(n-1)r[/tex]
Where
an = nth term
a1 = first term
r = common difference
n = number of the term
We are given the first terms of a sequence:
-12, -28, -44,...
Find the common difference by subtracting consecutive terms:
r = -28 - (-12) = -16
r = -44 - (-28) = -16
The first term is a1 = -12. Now we calculate the term n=61:
[tex]a_{61}=-12+(61-1)(-16)[/tex]
[tex]a_{61}=-12-60*16=-12-960[/tex]
[tex]\mathbf{a_{61}=-972}[/tex]
Yuri drew triangle ABC then reflected it over line m to create triangle WXY.
Yuri concludes that the triangles are congruent. Which is a correct validation for this conclusion?
When the triangle was reflected, the height of the resulting triangle is parallel to the height of the original triangle.
When the triangle was reflected, the base of the resulting triangle lies on the same line as the base of the original triangle.
When the triangle was reflected, the corresponding sides and angle measures of the resulting triangle are the same as the original triangle.
When the triangle was reflected, the corresponding sides of the resulting triangle have slopes that are opposite to the slopes of the original triangle.
Answer:
C
Step-by-step explanation:
25 points
What is an equation of a line, in point-slope form, that passes through (1, -7) and has a slope of-?
O y+7 +1)
Oy-7=-(+1)
O y+7=--1)
oy-7=-1)
Answer:
I think option C is correct
Find XY and YZ. X:-14, Y:-4.1, Z:17.3
Follow:
X:Y
Y:Z
-14 : -4.1
-4.1 : 17.3
so XY= ( 57.4)
YZ= (-70.93)
monke good? yes yes yes
Answer:good
Step-by-step explanation:
monke
Answer:
monkey good
good monkey
Step-by-step explanation:
Write the formula to calculate the area of a triangle whose sides are unequal in length
Answer:
√S(S-A)(S-B)(S-C)
Step-by-step explanation:
S=(A+B+C)\2
where S= semi-perimeter
A,B and C are unequal length of triangle.
Answer:
the formula to calculate the area of a triangle whose sides are unequal in length is A=hb b/2
Helpppppppppppppppppppppp ASAP
9514 1404 393
Answer:
B. G(x) = (x -0.5)³ -(x -0.5)
Step-by-step explanation:
The desired equation can be found by translating the function left one unit. That is accomplished by replacing x with x+1. Then you have ...
G(x) = ((x +1) -1.5)³ -((x +1) -1.5)
G(x) = (x -0.5)³ -(x -0.5) . . . . . . . . matches choice B
A store has two different brands of laundry
Answer:
Step-by-step explanation:
I am sorry but please give detailed question
Answer:
Is there supposed to be a pic?
Step-by-step explanation:
HELP ASAP
what are the root functions?
If a turkey takes two hours and forty-five minutes to cook, and you place it in at 3:30, what time will it be ready.
Answer:
If a turkey takes two hours and forty-five minutes to cook, and you place it in at 3:30. It will be done at 6:15
Answer:
It will be ready at 6:15
Step-by-step explanation:
So you've got 2:45 for it to cook and it's been placed at 3:30. You can put it simply like:
2:45+3:30=x
x would represent the unknown time, all you need to do is add.
It's 5:75, but an hour only goes to 60 minutes and you've gone to 75.
You have to subtract 60 from the minute marker and add an hour:
5:75
-60
6:15
Suppose the national average dollar amount for an automobile insurance claim is $758.83. You work for an agency in Michigan and you are interested in whether or not the state average is less than the national average. The hypotheses for this scenario are as follows. Null Hypothesis: μ ≥ 758.83, Alternative Hypothesis: μ < 758.83. You take a random sample of claims and calculate a p-value of 0.0349 based on the data, what is the appropriate conclusion? Conclude at the 5% level of significance.
A. The true average claim amount is significantly higher than $758.83.
B. The true average claim amount is higher than or equal to $758.83.
C. We did not find enough evidence to say the true average claim amount is less than $758.83.
D. The true average claim amount is significantly different from $758.83.
E. The true average claim amount is significantly less than $758.83.
Answer:
The correct option is E
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = \$ 758.83[/tex]
The null hypothesis is [tex]H_o : \mu \ge 758.83[/tex]
The alternative hypothesis is [tex]H_a : \mu < 758.83[/tex]
The p-value is [tex]p-value = 0.0349[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
Generally from the value given we see that the p-value < [tex]\alpha[/tex] hence
The decision rule is
Reject the null hypothesis
The conclusion is
The true average claim amount is significantly less than $758.83.
a) What are the coordinates of A?
b) What are the coordinates of B?
Answer:
A (-2.5, -1.5)
B (4.5, -3.5)
A baseball weighs 25.75 ounces less than a bat. Write an equation the represents the relationship between the weight of a baseball and a bat in terms of the weight of the box,w.
Answer:
Step-by-step explanation:
So if a baseball weighs 25.75 ounces less than the bat and it says what is the relationship between the ball and the bat so if the baseball weighs less than the bat then that would be 25.75<B=W I believe
9(2n+1) =
can someone help me, please
Answer:
9(2n + 1) = 18n + 9Step-by-step explanation:
9(2n + 1)
use the distributive property a(b + c) = ab + ac
= (9)(2n) + (9)(1) = 18n + 9
Step-by-step explanation:
9(2n+1) =0
18n+9 = 0
18n = -9
n = -9/18
n = -1/2
I need this done quick pls.
Answer:
58º
Step-by-step explanation:
The sum of a triangle's interior angles is 180º. We know two interior angles, and we can solve from there: 180-(65+57)=180-65-57=180-180-122=58.
Dad gave his son 60 euros to buy wallpaper. In the store, it turned out that the price for one roll wallpaper increased by 3 euros, and because of this, the son was able to buy 1 roll of wallpaper less than he needed. How many rolls of wallpaper could he buy and how much did one roll cost? Did he do the right thing to buy the wallpaper?
Answer:
$92.296
Step-by-step explanation:
no, he did not make the right decision that's $19.096 over the budget.
1. Line K is represented by the equation y =- 2/3x +4. Line Lis perpendicular to line K and
passes through the point (4,- 1). Determine the equation of line L.
Answer:b
Step-by-step explanation:
because i got i right
Help me it’s 20 points
2x – 3y = -5
y = 2 + x
The value of y in the system of equations is:
y = -1.
y = -3.
y = 1.
y = 3
Answer:
y = 3
Step-by-step explanation:
2x-3y = -5 --------- (1)
y = 2+x ------- (2)
substitute (2) into (1)
2x-3y = -5
2x-3( 2+x ) = -5
2x-6-x = -5
2x-x = -5+6
x = 1
substitute x = 1 into (2)
y = 2+x
y = 2+1
y = 3
Solve for x: 1/3 (x-22) = 4x
x = -2
x = 34
x = 2
x = -10
Answer:
x=-2
Step-by-step explanation:
Find the probability of getting the color crewmate and the hat. Determine the probability for each question and write the code in the box below.
Answer:
Step-by-step explanation:
Probability of an event to occur (P) = [tex]\frac{\text{Favorable event}}{\text{Total outcomes}}[/tex]
1). Probability of getting the red crewmate,
[tex]P_1=\frac{3}{6}=\frac{1}{2}[/tex]
Probability of getting a chef hat,
[tex]P_2[/tex] = [tex]\frac{1}{8}[/tex]
Probability of getting the red crewmate and the chef hat = [tex]P_1\times P_2[/tex]
= [tex]\frac{1}{2}\times \frac{1}{8}[/tex]
= [tex]\frac{1}{16}[/tex]
2). Probability of getting blue crewmate,
[tex]P_1=\frac{2}{6}[/tex]
[tex]=\frac{1}{3}[/tex]
Probability of getting an egg hat,
[tex]P_2=\frac{2}{8}=\frac{1}{4}[/tex]
Probability to get the blue crewmate and an egg hat = [tex]P_1\times P_2[/tex]
= [tex]\frac{1}{3}\times \frac{1}{4}[/tex]
= [tex]\frac{1}{12}[/tex]
3). Probability of getting a green crewmate = [tex]\frac{1}{6}[/tex]
Probability of getting a banana hat = [tex]\frac{3}{8}[/tex]
Probability of getting a green crewmate and banana hat
= [tex]\frac{1}{6}\times \frac{3}{8}[/tex]
= [tex]\frac{1}{16}[/tex]
Use the coordinate grid to determine the coordinates of point A:
What are the coordinates of point A?
A ( fraction negative 1 and 1 over 4, fraction 3 over 4)
B ( fraction 1 and 1 over 4, fraction negative 3 over 4)
C( fraction negative 3 over 4, fraction 1 and 1 over 4)
D( fraction 3 over 4, fraction negative 1 and 1 over 4)
Answer:
A. (fraction negative 1 and 1 over 4, fraction 3 over 4)
Step-by-step explanation:
Coordinates of point A cam be represented as (x, y). That is where point A cam be traced from the x-axis is the value of x, while the y-value is the point we can trace from the y-axis side ways to point A.
So, Point A from the x-axis, we have x = -1¼, and from the y-axis, we have y = 3/4.
Coordinates of point A cam be written as:
(-1¼, ¾).
what 1+1
duwjus
w7wjqiw
Answer:
hmm.......i think it's 11
it might be 2
no 11
ehh maybe 11
oh my god
so uhmmmmmm
it's either 11
or it's 2
im having a mental crisis
The owner of 12 book stores is buying 32 copy's of a book for each of his stores. How many books will he buy in all?
Answer:
384
Step-by-step explanation:
12 book stores and 32 copies of a book for each book store
12 times 32 = 384 books
) Buyers are charged a shipping fee of $4.75 for each scarf order.
Which expression can you use to find the total price of a scarf order?
Answer:
huh can you put the whole question?
Step-by-step explanation:
Put all the answers
Step-by-step explanation:
Select the correct answer.
The table shows the balance of an investment account at the beginning of each year the account was held. Assuming no other deposits have been
made to the account, which statement describes the account's growth?
Year 1- $1,200.00
Year 2- $1,260.00
Year 3- $1,323.00
Year 4- $1,389.15
A.
The account is growing exponentially at an annual interest rate of 10.25%.
B.
The account is growing linearly at an annual interest rate of 5.00%
C.
The account is growing exponentially at an annual interest rate of 5.00%.
D.
The account is growing linearly at an annual interest rate of 10.25%.
E.
The account is growing exponentially at an annual interest rate of 15.76%.
Does anyone happen to understand this? I don’t get it?
Answer: 2 aka B
Step-by-step explanation: the answers B :)
Use the figure below to find the length of the midsegment.
68
54
4x + 6
68
54
4x + 44
Answer:
38
Step-by-step explanation:
4x + 6 = ½(4x + 44) (midsegment theorem)
Multiply both sides by 2
2(4x + 6) = 4x + 44
8x + 12 = 4x + 44
Collect like terms
8x - 4x = -12 + 44
4x = 32
Divide both sides by 4
x = 8
Length of midsegment = 4x + 6
Plug in the value of x
Midsegment = 4(8) + 6
= 32 + 6
= 38