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.
The sum of two numbers is 7 and the difference of their squares is 105. Find the numbers. If there
In simplest form.
more than one pair, use the "or" button. Give the answer
In simplest form
Answer:
11 and -4
Step-by-step explanation:
Let the required two numbers be x and y
If the sum of two numbers is 7, then
x + y = 7 .. 1
If the difference of their squares is 105, then;
x² - y² = 105 ...2
From 1;
x = 7 - y... 3
Substitute 3 into 2;
(7-y)² - y² = 105
Expand
49-14y+y² -y² = 105
49-14y = 105
-14y = 105 - 49
-14y = 56
y = -56/14
y = -4
Substitute y = -4 into 3
x = 7 - y... 3
x = 7 - (-4)
x = 7+4
x = 11
Hence the numbers are 11 and -4
4 1/8 take away 1 1/2 mixed numbers
Answer:
21/8 or 2 3/8
Step-by-step explanation:
33/8 - 3/2
33/8 - 12/8=21/8
hope it helps:)
I need help please? :(
Answer:
C
Step-by-step explanation:
the ratio of boy to girls in a school 1s 5:7. if there are 780 students in the school, how many boys are in the school?
Answer:
325 boys
Step-by-step explanation:
The ratio 5:7 represents 5+7=12 students. If we were to proportionalize this ratio to 780 students, we would multiply the ratio by 65/65 since 780/12=65.
Therefore, you have (5*65)/(7*65)=325/455 as your ratio. This means that there are 325 boys in the school
Amanda runs 7 miles in 80 minutes. At the same rate, how many miles would she run in 64 minutes?
Answer:
5.6 miles
Step-by-step explanation:
[tex]\frac{7}{80} =\frac{x}{64}[/tex] Set up the proportion
[tex]7(64)=x(80)[/tex] Cross multiply
[tex]448=80x[/tex] Simplify
[tex]\frac{448}{80}=\frac{80x}{80}[/tex] Divide both sides by 80
[tex]5.6=x[/tex]
Regina writes the expression y+9 ∙ 34. Which expression is equivalent to the one Regina writes?
None of these
(9 ∙ 3÷4)+y
(y+9)(3÷4)
9+y ∙(3÷4)
Item 1
The table gives estimated annual salaries associated with two levels of education.
Level of education High school diploma Trade school certification
Estimated annual salary $27,500 $48,000
Based on the table, how much more money would a person with a trade school certification earn than a person with a high school diploma over a 30 year career?
$20,500
$75,500
$82,500
$615,000
Answer:A) 20,500
Step-by-step explanation: because 27,000+48,00=75,00 so you divdie that by 30 and you will get your answer of 20,500
Find the quotient of 5 ÷ 1 8 .
A.5/8
B.8/5
C.4
D.40
5÷18
answer D 40 quotient
Which of the points (s, t) is not one of the vertices of the shaded region of the
set of inequalities shown below?
ss 20 -0.5t
s 12-t
ss 24-t
S>O
t>0
Answer:
24,0
Step-by-step explanation:
What is the order of the following set of numbers from greatest to least? 1 1/3, 2/3, -1/3. 9/5 O 1/3,2/3,9/5, 1 1/3 -1/3.1 1/3, 2/3, 9/5 09/5, 2/3,1 1/3,-1/3 9/5, 1 1/3, 2/3, -1/3
Answer:
11/3, 9/5, 9/5 , 2/3 , 1/3 , -1/3.1 , -1/3
Find an equation of the circle having the given center and radius.
Center (-7, 6), radius 6
Answer:
36 = (x+7)^2 + (y-6)^2
Step-by-step explanation:
6^2=(x-(-7))^2 + (y-6)^2
Maria wants to spend less than $110. She wants to buy some shirts, s.
that are priced at $9 each. She also decided to buy a pair of high heels for
$60. WRITE THE INEQUALITY that represents the word problem to
determine the number of shirts she can buy.
she can buy 5 shirts
A town has a population of 20,000 and grows at 4.5% every year how long will it be in to the population is 42,800
Answer:
It will take 17 years to get a population of 42,800. (Specifically 17.3)
Step-by-step explanation:
We will use the equation
y = population
x = amount of years
y = 20000(1 + 0.045)^x
20000 is the original population.
(1 + 0.045) is the increase of 4.5% every year
5x^2y + 6x^2y^3 - 3x^3y^2=0
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:
The angles below are complementary. Find the value of X
Write 44/5 as a mixed/whole number.
Write 12/3 as a mixed/whole number.
Write 5/5 as a mixed/whole number.
Write 15/7 as a mixed/whole number.
Write 1/4 as a mixed/whole number.
Answer:
12/3=4
5/5=7
15/7=2+1/7
1/4 is a proper fraction
Only improper fractions can be converted to mixed/whole number
Step-by-step explanation:
help please, asap. i need this done
Answer:
30
Step-by-step explanation:
24/4=6
42/7=6
6 x 5=30
Please help, test due in 1 hour! I will give brainliest! :)
Answer:
Rectangle + half circle ?
Step-by-step explanation:
Answer:
A rectangular prism and half of a cylinder.
Step-by-step explanation:
The rectangular prism is for the bottom part, and if you cut a cylinder vertically down it's diameter, you would get the top shape. Put em both together and BAM you got a chest. Periodt.
For which of the inequalities below is v = 4 a solution?
v plus greater 8
v plus 5 greater or equal than 9
v plus 5 greater than 9
v plus 5 less or equal than 8
Answer:
Option 2, v plus 5 greater or equal than 9
Step-by-step explanation:
For inequality represented by option 2 i.e v plus 5 greater or equal than 9
v+5 >= 9
If we put v =4 in above inequality, we get
4+5>= 9
9>= 9
Hence, option 2 is correct
Answer:
Option 2
Step-by-step explanation:
Please help, test due in 1 hour! I will give brainliest!
What is the difference in volume between a sphere with radius r and a sphere with radius 0.3r?
Answer:
[tex]d = 1.2973\pi r^3[/tex]
Step-by-step explanation:
Given
[tex]R_1 = r[/tex]
[tex]R_2 = 0.3[/tex]
Required
The difference in their volumes
The volume of a sphere is:
[tex]V = \frac{4}{3}\pi r^3[/tex]
So, the difference d is:
[tex]d = \frac{4}{3}\pi [R_1^3 - R_2^3][/tex]
[tex]d = \frac{4}{3}\pi [r^3 - (0.3r)^3][/tex]
[tex]d = \frac{4}{3}\pi [r^3 - 0.027r^3][/tex]
[tex]d = \frac{4}{3}\pi *0.973r^3[/tex]
[tex]d = \frac{3.892}{3}\pi r^3[/tex]
[tex]d = 1.2973\pi r^3[/tex]
Volume is a three-dimensional scalar quantity. The difference in the volume between a sphere with radius r and a sphere with radius 0.3r is 4.0757r³ unit³.
What is volume?A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.
The volume of the sphere with radius(r) is,
Volume = (4/3)×π×r³
The volume of the sphere with radius (0.3r) is,
Volume = (4/3)×π×(0.3r)³
The difference in the volume between a sphere with radius r and a sphere with radius 0.3r is,
Difference = [(4/3)×π×r³] - [(4/3)×π×(0.3r)³]
= (4/3)πr³[1-0.027]
= (4/3)πr³(0.973)
= 4.0757r³ unit³
Hence, The difference in the volume between a sphere with radius r and a sphere with radius 0.3r is 4.0757r³ unit³.
Learn more about Volume:
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The angle \theta_1θ
1
theta, start subscript, 1, end subscript is located in Quadrant \text{II}IIstart text, I, I, end text, and \sin(\theta_1)=\dfrac{9}{41}sin(θ
1
)=
41
9
sine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis, equals, start fraction, 9, divided by, 41, end fraction .
What is the value of \cos(\theta_1)cos(θ
1
)cosine, left parenthesis, theta, start subscript, 1, end subscript, right parenthesis?
Trig identity are written in term of cosine, sine and tangent, he value of cosθ if the value of sinθ is 9/41 is 40/41
Trigonometry ratioGiven the following parameters
sinθ = 9/41
According to the SOH CAH TOA identity
sinθ = opposite/hypotenuse
Determine the adjacent sides
a= √41² - 9²
a = √ 1600
a = 40
Determine the value of cosθ
cosθ = adjacent/hypotenuse
cosθ = 40/41
Hence the value of cosθ if the value of sinθ is 9/41 is 40/41
Learn more on trigonometry identity here:https://brainly.com/question/7331447
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Answer:
-40/41
Step-by-step explanation:
Ms. Jaffey had a total of 428.5 ounces of pretzels to put into 5 bowls for a party. She put an equal number of ounces of pretzels into each bowl. How many ounces of pretzels did Ms. Jaffey put into each bowl?
Ms. Jaffey put approximately 85.7 ounces of pretzels into each bowl.
To find out how many ounces of pretzels Ms. Jaffey put into each bowl, we need to divide the total number of ounces by the number of bowls.
Ms. Jaffey had a total of 428.5 ounces of pretzels, and she distributed them equally among 5 bowls. Therefore, we can divide the total number of ounces by 5 to determine the amount in each bowl.
428.5 ounces ÷ 5 bowls = 85.7 ounces.
So, Ms. Jaffey put approximately 85.7 ounces of pretzels into each bowl.
Since it's unlikely to have exact measurements when dividing a total quantity into equal parts, we round the result to one decimal place, giving us 85.7 ounces. This means that each bowl contains approximately 85.7 ounces of pretzels.
To learn more about the division;
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13. What is the perimeter of the triangle below?
X+14 X+14 2x+36
Answer:
4x + 64
Step-by-step explanation:
(X + 14) + (X + 14) + (2x + 36) = 4x + 64
find the value of x in the triangle shown below 9 and 8 and x
Answer:
x=5.8
Step-by-step explanation:
I kinda guessed on this due to the fact you didn't provide a photo. I used the pythagorean equation to solve this.
Start by identifying you a, b, and c sides.
. To buy a car, Mitchell borrowed $17,000 for 3 years at an annual simple interest rate of 9%. If it takes him 3 full years to pay off the loan, how much interest will he will pay for the car? * O $9,045 O $9,009,000 O $ $4590 O $459,000 2. Jaelyn deposits $750 into an account that yields 6.5% simple interest. How much will he in her account in 30 months if she door no 10 points
Answer:
45
Step-by-step explanation:
I just took test and got 100%ANSWER THE QUESTION FOR BRAINLIEST
Help on this math question. 25 points.
Answer:
the third one
Step-by-step explanation:
help. this is my daughter's math. how does it work?
Answer:
An ion with a -2 charge, atomic number 17, an atomic mass of 25 has how many electrons?
Step-by-step explanation:
Help me
A) 45
B) 120
C)120
D) 60