The radius of a circle is 1 meter. What is the circle's area?
The number of copies made each week by teachers at Lamley High School follows a bell-shaped distribution with a
mean of 550 copies and a standard deviation of 185 copies. Mr. Thomas made 782 copies last week. His Z-score is
1.25. Which of the following statements best interprets this value?
O Mr. Thomas made 125 more copies, on average, than the mean number of copies of teachers at Lamley High
School.
O The number of copies Mr. Thomas made is 1.25 standard deviations less than the mean number of copies of
teachers at Lamley High School.
O The number of copies Mr. Thomas made is 1.25 standard deviations more than the mean number of copies of
teachers at Lamley High School.
O The number of copies Mr. Thomas made is 1.25 standard deviations less than the median number of copies of
teachers at Lamley High School.
O The number of copies Mr. Thomas made is 1.25 standard deviations more than the median number of copies of
teachers at Lamley High School.
Answer:
3. The number of copies he made is 1.25 standard deviations more than the mean number of copies made by teachers.
Step-by-step explanation:
In statistics, a z-score is measurement that describes a value's relationship to the mean and allows us to compare the value and the mean. It tells us how many standard deviations above or below the population mean.
Mr. Thomas has a z-score of 1.25.
He made 782 copies last week. The statistic this is being compared to is the mean of 550 copies by teachers per week at Lamley High School.
Therefore, the best interpretation is Mr. Thomas made 1.25 standard deviations more than the mean number of copies. The correct answer is choice 3.
Let's make sure the other choices are incorrect.
The first answer is incorrect because a z-score doesn't compare the exact values, but uses the standard deviation to compare. The second answer is incorrect because he made 782 copies, while the mean was 550. He made more copies, plus the z-score is positive. The fourth and fifth answers are incorrect because the z-score doesn't use the median to compare.2). The scale factor of two regular octagons is 52. Find the ratio of their
perimeters and the ratio of their areas, *
Answer:
Step-by-step explanationBy definition we have that the area of a regular octagon is:
A = 4.83L ^ 2
Where, L is the length of the octagon side.
the similarity ratio = the area ratio.
We have then:
similarity ratio = (50) / (18) = 25/9.
the ratio of the perimeters
A1 = 4.83L1 ^ 2
L1 ^ 2 = A1 / 4.83
L2 ^ 2 = A2 / 4.83
L1 ^ 2 / L2 ^ 2 = A1 / A2 = 25/9
L1 / L2 = 5/3
The perimeter is:
P1 = 8L1
P2 = 8L2
P1 / P2 = 8L1 / 8L2 = L1 / L2 = 5/3
answer:
similarity ratio:
25: 9
the ratio of the perimeters:
5: 3
ZABD and ZDBC are supplementary angles,
What is the measure of x?
X = [?]°
7D
110%
AK
B
>C
Angles are not drawn to scale.
Finter
Answer:
x=70°
Step-by-step explanation:
x+110=180 linear pair
x=180-110=70
7.10; 7.1F)
4. The diagram below shows a triangle.
15 in.
12 in.
6 in.
A student drew a similar triangle using
a scale factor of The perimeter of
the student's triangle was
A 11 in.
29 in.
B 22 in.
D 33 in.
Answer:
..............
Step-by-step explanation:
....................
Lucy Baker is analyzing demographic characteristics of the American Idol program. Previous studies indicate that the average viewer is 43 years old. May changes took place in the program and there are rumors the audience has changed. Mrs. Baker was tasked to find out . She randomly selects 100 people from the audience, and reports that the average age is 45 years. Assuming that variability in the ages of viewers is σ = 5 years, identify if Mrs. Baker's conclusion. She wants to accept a Type I error of .05.
Answer:
We conclude that the mean age of average viewer has changed
Step-by-step explanation:
H0 : μ = 43
H1 : μ > 43
The test statistic :
(xbar - μ) ÷ σ/sqrt(n)
Sample size, n = 100
xbar = 45 ; σ = 5
Test statistic :
(45 - 43) ÷ 5/sqrt(100)
2 ÷ 0.5 = 4
The Pvalue :
P(Z < 4) = 0.000032
Pvalue < α
0.000032 < 0.05 ; Hence, we reject the Null
We conclude that the mean age of average viewer has changed
To complete an English exam, you must write 3 essays from a list of 7 prompts. In how many ways can you complete the exam?
Answer:
35 ways
Step-by-step explanation:
7 nCr 3 = 7!/(3!(7-3)!) = 7!/(3!*4!) = 35
Please help find answer to questions 22
9514 1404 393
Answer:
A) 26°
Step-by-step explanation:
The angle x decreases at a rate that is 12 times the rate of increase of angle y.
x = 360 -12y
We want x = 2y, so ...
2y = 360 -12y
14y = 360
y = 360/14 ≈ 25.71 ≈ 26
The integer angle closest to y is 26°.
- Sam bought 3 lbs. of grapes at $2.99 per pound, and 4 lbs. of apples at $1.89 per pound. What
change will he get from a $20 bill
Answer:
3.47$
Step-by-step explanation:
Draw the following triangle after a translation 4 units to the left and 4 units up
Answer:
just move every corner (vertices) 4 up and 4 to the left
Find the volume of the pyramid below.
A. 1088
B. 1360
C. 7200
D. 2400
Answer:
Answer is A
Step-by-step explanation:
add 8 x 8 x 17= 1088
How many green jolos are there in balans colony?
Answer: B. 280
Step-by-step explanation:
ur welcome
Answer:
B) 280
Step-by-step explanation:
1. What is –6 9/16 written as a decimal?
A -6.625
B -6.5625
C -6.4375
D-6.125
Answer:
B) -6.5625
9/16 is equal to 0.5625
Answer:
-6.5625
Step-by-step explanation:
A store is giving out cards labeled 1 through 10 when customers enter the store. If the card is an even number, you get a % discount on your purchase that day. If the card is an odd number greater than 6, you get a % discount. Otherwise, you get a % discount. The table shows the results of customers. What is the relative frequency for each discount? Use pencil and paper. If the manager of the store wants approximately half of the customers to receive the % discount, does this seem like an appropriate method? Explain.
Answer:
yrbffbfzbc
Step-by-step explanation:
brfzfbfz
Plz help!!! ASAP!!!
-10 pts
also explain answer
thx <3
Answer:
1. 192 m^2
2. 396 ft^2
3. 108 m^2
Step-by-step explanation:
1. 4*8*6 = 192
2. 9*8*11 = 792
792/2 = 396
3. 4*3*9 = 108
If f(x)=9ex, find f(5) rounded to the nearest tenth.
Answer:
1335.7
Step-by-step explanation:
f(5)= 9e^x
Substitute x for 5 and solve
The value of the equation f ( x ) = 9eˣ , when x = 5 is 1335.7
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be f ( x ) = 9eˣ
The equation is an exponential form , and the value of x is substituted in the equation
When the value of x is 5
The value of e = 2.7182
x = 5
So , substituting the value of x in f ( x ) , we get
f ( x ) = 9eˣ
f ( 5 ) = 9 x e⁵
Now , e⁵ = 148.4131
And ,
The equation f ( 5 ) = 9 x 148.4131
= 1335.718
≈ 1335.7
Hence , the value of the equation f ( x ) = 9eˣ , when x = 5 is 1335.7
To learn more about equations click :
https://brainly.com/question/10413253
#SPJ2
3×1/6 Please please help
Answer:
3 can be made into 3/1. multiplying fractions is easy, divide the numerators together and the denominators together. 3x1=3 and 1x6=6. the answer is 3/6 which can be simplified into 1/2
Step-by-step explanation:
hope this helps!
Please I have a time limit of 45 mins
Answer:
The answer is 2.1 m squared
Which expressions are equivalent to 1/3+Bd+5/7?
Check all that apply
whats the solution to -12x ≤ -72
Answer:
I love algebra anyways
the ans is in the picture with the steps
(hope it helps can i plz have brainlist :D hehe)
Step-by-step explanation:
Answer:
Step-by-step explanation:
[tex] - 12x \leqslant - 72 \\ x \geqslant \frac{ - 72}{ - 12} \\ x \geqslant 6[/tex]
The direction changes when we divide by nagative value
I hope that is useful for you :)
Juan draws a triangle on a coordinate grid. He then performs a series of transformations. Juan claims the resulting triangle is congruent to the other triangle. Select all the transformations that Juan could have performed.
help fast plz !!!!!!!!!
Answer:
It should be 35
Step-by-step explanation:
question will save this response.
Answer:
[tex]r=\dfrac{PV}{nT}[/tex]
Step-by-step explanation:
The given equation is :
[tex]PV=nrT[/tex]
Where
P is pressure
V is volume
n is no of moles
r is Gas constant
T is temperature
We need to solve the above equation for r.
Dividing both sides of the above equation by (nT). So,
[tex]\dfrac{PV}{nT}=\dfrac{nrT}{nT}\\\\r=\dfrac{PV}{nT}[/tex]
So, the value of r is equal to [tex]\dfrac{PV}{nT}[/tex].
The radius of a circle is 7 in find its area to the nearest tenth
Answer:
why there is no problem i do not see it
Step-by-step explanation:
here u go! BWABWABWABWABWA
Answer:
- 100
Step-by-step explanation:
Take 10 from both sides
t/2 + 10 - 10 = -40 - 10 Combine like terms
t/2 = - 50 Multiply both sides by 2
2*t/2 = -50*2
t = - 100
Answer:
= (-90)
Step-by-step explanation:
-90/2+10=. -80/2
2 will go into -80 ,-40 times
Which of the following is the equation represented from the graph?
1. y = -2x + 3
2. y = 3x
3. y = -2x
4. y = 3x + 2
pls hellp
Answer:
1. y = -2x + 3
Step-by-step explanation:
If a product of three numbers is 3150, two of the numbers are 14,15. Find the third number
Answer:
15
proof on pic......................
Express log6 (15) in terms of common logarithms *no file answers*
Write the quadratic equation in standard form 3x+x^2=11-3x^2
Please help me! Please! I am so lost! Pythagorean Theorem!
(The prism said to have an equilateral triangle base has the measurements shown)
Part A
Are the bases of the prism equilateral triangle‘s? Why or why not? Note: the bases of a triangular prism are triangles.
Part B
For this prism to be a right prism, all the lateral faces must be rectangles. Is enough information given to prove the lateral faces are rectangles? Why or why not?
Part C
Without using a protractor, you can determine whether the angles are right angles by measuring the length of the diagonal and applying the converse of the Pythagorean theorem.
The length of both diagonals for each lateral side is 13 cm. From this can you prove that the lateral sides are rectangles? Why or why not?
Part D
Some of the measurements of the triangular prism with a right angle base are shown. What is the length of the hypotenuse of the base?
Part E
Which lateral face has the largest area, the bottom one, left one, or diagonal one? What is the area?
Answer:
Part A- yes, because all 3 sides are Equal (each side is 5)
Part B- yes, each rectangle has the dimensions 12*5
Part C- yes- since the sides are 5 and 12 you can determine that the diagonal is 13, using they Pythagorean theorem [tex]a^{2} +b^{2} =c^{2}[/tex]
[tex]5^{2} +12^{2} =13^{2} \\25+144=169[/tex]- true statement, so the lateral sides are rectangles, because the corners are 90
Part D- [tex]4\sqrt{2}[/tex] (it is a 45-45-90 triangle- so the hypotenuse is the side length times [tex]\sqrt{2}[/tex]
Part E- the diagonal face as the largest area- dimensions are [tex]4\sqrt{2} * 12\\[/tex]
the area would be [tex]48\sqrt{2}[/tex]
Step-by-step explanation:
