The probability that the claim of James is correct is 1%.
What is a standard error?The standard deviation of a statistic's sample distribution, or an approximation of that standard deviation, is its standard error. The standard error of the mean is the term used when the statistic is the sample mean.
In order to know if the claim of James is correct or not, firstly we need to determine the standard error. The standard error is the ratio of the standard deviation and the square root of the sample. Therefore, the standard error can be written as,
[tex]\rm Standard\ Error, SE =\dfrac{\sigma}{\sqrt n} = \dfrac{0.4}{\sqrt5} =0.178[/tex]
Thus, the standard error is 0.178.
Further, The z-score is defined as the distance from the sample to the population mean in units of standard error. Therefore, the z-score can be written as,
[tex]z = \dfrac{X-\mu}{SE}=\dfrac{(3- 2.5)}{0.178} = 2.81[/tex]
Using the Z-table in order to know the probability of the claim of James is correct or not, therefore, at this z-score, the probability is 0.9974≈1.00%.
Hence, the probability that the claim of James is correct is 1%.
Learn more about Standard Error:
https://brainly.com/question/2501218
How to calculate intrest
Answer:
You can calculate Interest on your loans and investments by using the following formula for calculating simple interest: Simple Interest= P x R x T ÷ 100, where P = Principal, R = Rate of Interest and T = Time Period of the Loan/Deposit in years.
Formula: Simple Interest=P×r×t where: P=Principal amount; r=Annual interest rate; t=...
Principal Amount: Principal Amount remains constant on Simple Interest
Meaning: Simple Interest is calculated on the Principal Amount for the entire tenure
Calculation: It is easy to calculate Simple Interest
Answer:
To calculate simple interest, you can use a specific formula:
I (interest) = p (principal) x r (rate) x t (time)
Important: Rate is always a decimal, and time must be a compatible unit that matches with the rate (months, years, etc.).
In a survey conducted at a pet store, 150 customers were asked if they owned
birds or fish. The survey data are shown in the relative frequency table.
Own a bird
Do not own a
bird
Total
0.04
0.08
Own fish
Do not own fish
Total
0.02
0.86
What percentage of the people surveyed own fish?
Answer:
12%
Step-by-step explanation:
have faith in me bro :>
12% of the people surveyed own fish.
What is relative frequency?Relative frequency refers to the percentage or proportion of times that a given value occurs within a set of numbers, such as in the data recorded for a variable in a survey data set.
We get
Total (own fish) = 0.04 + 0.08 = 0.12
So, own fish = 0.12
= 12%
12% of the people surveyed own fish.
Find out more information about relative frequency here
https://brainly.com/question/16832475
#SPJ2
Which phrase correctly describes the solution to the quadratic equation?
[tex] {2x}^{2} + 25 = { - x}^{2} + 10x[/tex]
Answer:
"Two complex solutions" is the answer.
Answer:
Two complex solutions.
There are 52 weeks in a year. And mayra 40 hours a week.
What is the hourly rate necessary to earn $68,120 a year ? How much is her weekly salary?
Maura is planning to buy a new car, she wants to save $4000 for the down payment. How many weeks does she need to work before she gets that amount?
Mayra weekly salary is $1310 and she would need 4 weeks salary in order to afford a $4000 down payment on that car.
Data;
Total number of weeks = 52Weekly hours = 40Yearly target = $68,120Weekly SalaryTo calculate her weekly salary, let's divide her annual target by 52 week which the number of weeks present in a year.
Her weekly salary will be
[tex]x = \frac{68120}{52} \\x = 1310[/tex]
Her weekly salary is $1310
To be able to afford a $4000 down payment, she has to work at least 4 weeks.
[tex]\frac{4000}{1310} = 3.05[/tex]
Learn more on calculations involving salaries here;
https://brainly.com/question/26568457
Jacee has had her eye on a dress. It originally cost $65. It is on sale for 33% off. How much will the dress cost before taxes?t?
$21.45
$33
$43.55
$86.45
Answer: 21.45$
Step-by-step explanation: I can’t explain how i got it but i hope this helped!
Answer:
$43.55
Step-by-step explanation:
I took 65 and found 33% by making 33% .33 and did 65*33, then subtracted what I got from the total of 65, 65-21.45 which is $43.55.
please help ‼️‼️
i’ll give the brainliest thing if it’s correct
Find the of X if triangle DBE ~ triangle ABC. please show work
Answer: 7
Step-by-step explanation:
Mr. Smith has an online cooking show. Before he films an episode about baking the perfect pound cake, he prepares his ingredients. His recipe calls for 2 1/2 cups of sugar for the cake and 1 1/4 cups of sugar for the vanilla glaze. How many 1/4 cup scoops of sugar does he need?
Please help I will give brainliest.
Explanation and Answer:
The graph of y=[tex]x^2[/tex] is a parabola (it looks like a u) that intersects the graph at the origin. These are all shifted variations of that graph, so from that you can figure out their formula by visualizing it.
You can also try substituting numbers into the equations and drawing a graph from that.
Graph A is the y=x^2, shifted to the left, so it becomes [tex]y=x^2+x[/tex]. It's +x because now negative numbers can be gotten from the equation, as compared to before when x^2 gives only positive numbers.
Graph B is [tex]y=x^2+3x[/tex] . Similar to graph A, but now it moves down by more units, because of the 3x.
Graph C is [tex]y=-x^2+2[/tex]. Imaging y=x^2 flipped, it changes from looking like a u to n. That's y=[tex]-x^2[/tex]
Graph D is [tex]y= x^2-x[/tex]. The opposite of Graph A.
The present ages of father and son are 40 years and 5 years respectively. If they both live on till the son becomes as the father is now, what will be the age of father?
Answer:
75
Step-by-step explanation:
40 - 5 = 35 years till the son will be 40, his fathers age
40+35 = 75, the dad's age 35 years in the future when the son is 40
HELP PLEASE I NEED HELP SOMEONE THAT IS REALLY GOOD AT MATH CAN YOU PLEASE HELP ME
Answer:
Answer:7=v/8.75
Answer:7=v/8.75We move all terms to the left:
Answer:7=v/8.75We move all terms to the left:7-(v/8.75)=0
Answer:7=v/8.75We move all terms to the left:7-(v/8.75)=0We add all the numbers together, and all the variables
Answer:7=v/8.75We move all terms to the left:7-(v/8.75)=0We add all the numbers together, and all the variables-(+v/8.75)+7=0
Answer:7=v/8.75We move all terms to the left:7-(v/8.75)=0We add all the numbers together, and all the variables-(+v/8.75)+7=0We get rid of parentheses
Answer:7=v/8.75We move all terms to the left:7-(v/8.75)=0We add all the numbers together, and all the variables-(+v/8.75)+7=0We get rid of parentheses-v/8.75+7=0
Answer:7=v/8.75We move all terms to the left:7-(v/8.75)=0We add all the numbers together, and all the variables-(+v/8.75)+7=0We get rid of parentheses-v/8.75+7=0We multiply all the terms by the denominator
Answer:7=v/8.75We move all terms to the left:7-(v/8.75)=0We add all the numbers together, and all the variables-(+v/8.75)+7=0We get rid of parentheses-v/8.75+7=0We multiply all the terms by the denominator-v+7*8.75=0
Answer:7=v/8.75We move all terms to the left:7-(v/8.75)=0We add all the numbers together, and all the variables-(+v/8.75)+7=0We get rid of parentheses-v/8.75+7=0We multiply all the terms by the denominator-v+7*8.75=0We add all the numbers together, and all the variables
Answer:7=v/8.75We move all terms to the left:7-(v/8.75)=0We add all the numbers together, and all the variables-(+v/8.75)+7=0We get rid of parentheses-v/8.75+7=0We multiply all the terms by the denominator-v+7*8.75=0We add all the numbers together, and all the variables-1v+61.25=0
Answer:7=v/8.75We move all terms to the left:7-(v/8.75)=0We add all the numbers together, and all the variables-(+v/8.75)+7=0We get rid of parentheses-v/8.75+7=0We multiply all the terms by the denominator-v+7*8.75=0We add all the numbers together, and all the variables-1v+61.25=0We move all terms containing v to the left, all other terms to the right
Answer:7=v/8.75We move all terms to the left:7-(v/8.75)=0We add all the numbers together, and all the variables-(+v/8.75)+7=0We get rid of parentheses-v/8.75+7=0We multiply all the terms by the denominator-v+7*8.75=0We add all the numbers together, and all the variables-1v+61.25=0We move all terms containing v to the left, all other terms to the right-v=-61.25
Answer:7=v/8.75We move all terms to the left:7-(v/8.75)=0We add all the numbers together, and all the variables-(+v/8.75)+7=0We get rid of parentheses-v/8.75+7=0We multiply all the terms by the denominator-v+7*8.75=0We add all the numbers together, and all the variables-1v+61.25=0We move all terms containing v to the left, all other terms to the right-v=-61.25v=-61.25/-1
Answer:7=v/8.75We move all terms to the left:7-(v/8.75)=0We add all the numbers together, and all the variables-(+v/8.75)+7=0We get rid of parentheses-v/8.75+7=0We multiply all the terms by the denominator-v+7*8.75=0We add all the numbers together, and all the variables-1v+61.25=0We move all terms containing v to the left, all other terms to the right-v=-61.25v=-61.25/-1v=61+0.25/1
2 is the answer due to the with of the problem you will get the answer 2 after adding 1+1. hope this helps make me brainliest
Solve the quadratic equation 3x? + x-5 = 0
Give your answers to 2 decimal places.
Step-by-step explanation:
for x=5
3×0+5-5=0
0+0=0
i don't know i just tried
WILL GIVE BRAINLIEST IF CORRECT PLEASE ANSWER!!!!!!
Find the value of sin G rounded to the nearest hundredth, if necessary.
Answer:
Step-by-step explanation:
Find an
angle in each quadrant with a common reference angle with 216°, from
0°=0<360°
Answer:
Quadrant 1: 36°
Quadrant 2: 144°
Quadrant 3 (Given): 216°
Quadrant 4: 324°
Step-by-step explanation:
A 216° angle in standard position has its terminal side in quadrant 3 since 216° is between 180° and 270°.
216° - 180° = 36°
The reference angle for 216° is 36°
Quadrant 1: 36°
Quadrant 2: 180° - 36° = 144°
Quadrant 3 (Given): 216°
Quadrant 4: 360° - 36° = 324°
HELP HELP I NEED HELP ASAP
HELP HELP I NEED HELP ASAP
HELP HELP I NEED HELP ASAP
HELP HELP I NEED HELP ASAP HELP HELP I NEED HELP ASAP
HELP HELP I NEED HELP ASAP
Answer:For the answer to this It has me stuck between A and B
ANSWER QUICKLY PLEASE!!!!!!
Answer:
See belowStep-by-step explanation:
1Use similarity ΔPQS ~ ΔRQS
Use the ratio of corresponding sides:
PS/QS=QS/SRPS*SR = QS²PS*20 = 8²20PS = 64PS = 64/20PS = 3.22Find PS
PS = PR - RS = 72 - 54 = 18Use similarity ΔPQS ~ ΔPRQ
Ratio of corresponding sides:
PQ/PR=PS/PQPQ² = PR*PSPQ² = 72*18 = 4*18*18 = (2*18)² = 36²PQ = 363Use similarity ΔPQS ~ ΔPRQ
Ratio of corresponding sides:
PQ/PR=PS/PQPS=PQ²/PRPS = 14²/28 = 7Find RS:
RS = PR - PS = 28 - 7 = 214Answer options
a) ΔRPQ ~ ΔRQS - correctb) ΔRQS ~ ΔQPS - correctc) ΔRPQ ~ ΔQPS - correctd) ΔRPQ ~ ΔRQS ~ ΔQPS - most correct as combines all above choicesfind the value of x
a:21
b:27
c:31
d:34
Answer:
what's the problem?
Step-by-step explanation:
do u have a picture to show us?
If ΔRST congruent to ΔNPQ, which of the following is true? A. ∠R congruent to ∠P B. ∠R congruent to ∠Q C. ∠T congruent to ∠P D. ∠T congruent to ∠Q
Answer:
Step-by-step explanation:
The order of the expression for congruent shapes indicate the
corresponding vertices between the two shapes that are congruent.
The option which is true is D. T = Q.
Reasons:
The given statement is; ΔRST ≅ ΔNPQ
By Corresponding Parts of Congruent Triangle are Congruent, CPCTC, we
have; The sides on ΔRST are congruent to the corresponding sides of ΔNPQ
Therefore;
RS ≅ NP
RT ≅ NQ
ST ≅ PQ
By CPCTC, we have that the angles on ΔRST are congruent to the corresponding angles of ΔNPQ
Therefore;
∠R ≅ ∠N
∠S ≅ ∠P
∠T ≅ ∠Q
Which gives, by definition of congruency;
∠R = ∠N
∠S = ∠P
∠T = ∠Q
Therefore, the true statement is D. T = Q.
give brainliest
NEED HELP ASAP PLEASE EASY 10 to 20 POINTS RN
Answer:
explicit definition: [tex]a_n=5n-4[/tex]
recursive definition: [tex]a_n=a_{n-1}+5[/tex]
Step-by-step explanation:
Given arithmetic sequence: 1, 6, 11, 16, 21 ...
Therefore,
first term a = 1common difference d = 5Using the general form of arithmetic sequence: [tex]a_n=a+(n-1)d[/tex]
[tex]\implies a_n=1+(n-1)5[/tex]
[tex]\implies a_n=1+5n-5[/tex]
[tex]\implies a_n=5n-4[/tex]
or [tex]a_n=a_{n-1}+5[/tex]
If p = 10 - 3y, work out p when =-10
Hello.
Plug in the value of p:
[tex]\mathrm{-10=10-3y}[/tex]
Now, all we have to do is solve the equation for y.
First, let's add 10 to both sides:
[tex]\mathrm{-10+10=10+10-3y}[/tex]
[tex]\mathrm{0=20-3y}[/tex]
Now, add 3y to both sides:
[tex]\mathrm{3y=20}[/tex]
Divide both sides by 3:
[tex]\Large\boxed{y=\frac{20}{3} }[/tex]
I hope it helps.
Have a nice day.
[tex]\boxed{imperturbability}[/tex]
Please answer this friends ?
Answer:
x = 5
Step-by-step explanation:
x = 40 - (9 + 6 + 10 + 8)
x = 40 - 35
x = 5
How large of a circle would it
take to fit 10,000 toy cars
inside?
The largeness of the circle is an illustration of proportions
Using the assumed parameters, the circle must be 200 times larger than a normal circle
How to determine the size of the circle?The question is incomplete; so I will make use of assumed values
Assume that a normal circle of radius r can take up to 50 toy cars.
When the normal circle is replaced by a larger circle of radius R to take up to 10000 toy cars, the size of the circle must be:
Size = 10000/50
Divide
Size = 200
This means that the circle must be 200 times larger than a normal circle
Read more about proportions at:
https://brainly.com/question/870035
Which list of numbers is in order from least to greatest?
A.
60.47 ; 64.07 ; 64 ; 64.7
B.
60.47 ; 64 ; 64.07 ; 64.7
C.
64 ; 60.47 ; 64.7 ; 64.07
D.
64 ; 60.47 ; 64.07 ; 64.7
Answer:
the answer is 60.47 ; 64 ; 64.07 ; 64.7 that mean the answer is B.
What is the relationship between Z4 and 25?
1
2
m
3
4
5
6
7
8
A corresponding angles
B. same-side interior angles
C. alternate interior angles
D. alternate exterior angles
Answer:
A) corresponding angles are equal
The equation for a circle is shown x ^ 2 + y ^ 2 = 9 Which statement best explains why the equation does not describe a function?
x2+y2=9 is not a function
In order for an equation to represent a function any single value of x must have at most one corresponding value of y which satisfies the equation.
For
x
2
+
y
2
=
9
XXXX
if (for example)
x=0XXXX there are two values for y (namely +3 and −3) which satisfy the equation
What percent is 10 out of 40?
Answer:
25%
Step-by-step explanation:
Given the following question:
What percent is 10 out of 40?
We use the formula to calculate percentages to find the answer.
[tex]\frac{p \times n}{100}[/tex]
[tex]\frac{25\times40}{100} =25\times40=1000\div100=10[/tex]
[tex]=10[/tex]
"25%" of 40 is equal to 10.
Hope this helps.
Find the cosine of ZY.
Z
10V3
10
Y
20
Write your answer in simplified, rationalized form. Do not rour
sos (n = Y
Answer:
[tex] \frac{ \sqrt{3} }{2} [/tex]
What is the slope of the line that contains the points (-1, 2) and (4, 3)?
Answer:
Slope: 1/5
Step-by-step explanation:
-1,2
4,3
-1 - 2 = -1
-1 - 4 = -5
-1/-5 = 1/5
The length of a rectangle is eight more than twice its width. The perimeter is 96 feet. Find the dimensions of the rectangle
Variable=
Equation=
Step-by-step explanation:
Length = L
Width = W
L=8 more than 2W
L = 8 * 2W
L = 16W
Perimeter = 96
perimeter is the lengths of all sides added together
so
2L + 2W = 96
we have
L = 16W
2L + 2W = 96
let's do substitution
put what L = into 2L + 2W = 96
so
2(16W) + 2W = 96
can you rearrange that to get w
put answer in comment
Which of the following graphs shows a direct variation (proportion)?
Answer:
a, d
Step-by-step explanation:
A direct variation graph will just have points going in a straight line.
The only graphs with a straight line are (a) and (d).