Dana's survey showed that 3 out of 8 students preferred pepperoni pizza and
1 out of 8 preferred cheese pizza. How many more of the 72 students surveyed by
Dana preferred pepperoni pizza than preferred cheese pizza?
Answer:
18 more students preferred pepperoni pizza over cheese pizza in the survey.
Step-by-step explanation:
[tex]\frac{3}{8}[/tex] x [tex]\frac{72}{1}[/tex] Can be rewritten
[tex]\frac{3}{1}[/tex] x [tex]\frac{9}{1}[/tex] = [tex]\frac{27}{1}[/tex] = 27 I cross canceled the 8 and 72. They have a common factor of 8. 8 goes into 8 once and 8 goes into 72 9 times.
27 students preferred pepperoni pizza.
[tex]\frac{1}{8}[/tex] x [tex]\frac{72}{1}[/tex] = [tex]\frac{1}{1}[/tex] x [tex]\frac{9}{1}[/tex] = 9
9 students preferred cheese pizza.
27 - 9 = 18
14 more than 5 times a number is equal to 20. find the number
Answer:
6/5
Step-by-step explanation:
5x + 14 = 20
Subtract 14 from 20
5x = 6
Divide both sides by 5
x = 6/5
The triangle flap of an envelope has two sides that are 6 centimeters long and meet at a right angle. How long is the envelope? Round to the 10ths if needed.
Answer:
Step-by-step explanation:
This is a right triangle that has two equal sides - so it is also isosceles.
It can be solved using Pythagoren Theorem.
a² + b² = c²
In this case a = b
so:
6² + 6² = c²
36 + 36 = c²
72 = c²
[tex]\sqrt{72[/tex] = [tex]\sqrt{c^{2} }[/tex]
8.49 = c
round to 8.5
This is the length of the flap.
Question
Translate the phrase into an algebraic expression, the ratio of 4p and 7y,
Provide your answer below:
9514 1404 393
Answer:
(4p)/(7y)
Step-by-step explanation:
The ratio of 4p to 7y is another way of saying the quotient of (4p) and (7y).
[tex]\boxed{\dfrac{4p}{7y}}[/tex]
Which is the standard form of the equation of the parabola that has a vertex of (3, 1) and a directrix of x = -2?
Answer:
C
Step-by-step explanation:
Edge 2021
Answer:
c. (y-1)^2=-20(x-3)
Step-by-step explanation:
edge 2021
50 POINTS !!
PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.
h^2 = 9^2 + 4^ 2
= 81 + 16
= 97
h =97 ^ 1/2
= 9.849
= 10 ml
0 0 1 0
0 0 0 1
Let A = 1 0 0 0
0 1 0 0
-0 0 0 1
0
0
0. Find All
0
Answer:
0
Step-by-step explanation:
Answer:
zero
Step-by-step explanation:
the value of the variable which makes an equation a true sentence is called the ___ of the equation
Answer:
Solution
Step-by-step explanation:
the value of the variable which makes an equation a true sentence is called the solution of the equation
the ratio of the length to the breadth of a room is 5:3 what is the length of the room if the breadth is 6m
According to the solving If the room's width is 6 meter's, then its length must be 10 meter's.
What is length?Distance is measured by length. The quantity of length has the dimension of distance there in International System of Quantities. Most measurement systems choose a base unit for length from which all subsequent units are derived. The metre serves as the fundamental unit of length in the International System of Units.
How do you determine length?If you have an area A and a width w, you can calculate the length w by using the formula h = A/w. Its length can indeed be calculated using the formula h = P/2w if you know its perimeter (P) and width (W). If you have the width w and the diagonal
According to the give information:
Let length be x By Given Condition
5/3=x/6
x=5/3*6
x=30/3=10
Therefore length of room is 10.
To know more about length visit:
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Choose 3 desserts from a menu of 6
Answer:
yes
Step-by-step explanation:
yes
Pls help! Step by step:)
Answer:
x = 15
Step-by-step explanation:
using Pythagoras' identity in the right triangle.
the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
x² = 9² + 12² = 81 + 144 = 225 ( take square root of both sides )
x = [tex]\sqrt{225}[/tex] = 15
Answer:
x = 15
Step-by-step explanation:
[tex]\boxed{\begin{minipage}{9 cm}\underline{Pythagoras Theorem} \\\\$a^2+b^2=c^2$\\\\where:\\ \phantom{ww}$\bullet$ $a$ and $b$ are the legs of the right triangle. \\ \phantom{ww}$\bullet$ $c$ is the hypotenuse (longest side) of the right triangle.\\\end{minipage}}[/tex]
From inspection of the given right triangle:
a = 9b = 12c = xSubstitute the given values into Pythagoras Theorem and solve for x:
[tex]\implies 9^2+12^2=x^2[/tex]
[tex]\implies 81+144=x^2[/tex]
[tex]\implies 225=x^2[/tex]
[tex]\implies \sqrt{x^2}=\sqrt{225}[/tex]
[tex]\implies x=15[/tex]
Plot and connect the points A(-6, 2), B(3, -6), C(-6, -6), and find the area of the triangle formed.
A.
36 square units
B.
72 square units
C.
4 square units
D.
12.5 square units
There are 10 dark chocolates, 8 milk chocolates, and 7 sea salt caramel
chocoaltes and 8 crunch almond chocolates in a mixed flavor Dove
chocolate bag. What is the probability of randomly choosing a dark
chocolate?
7/33
10/33
8/33
16/33
B 10/33.
Step-by-step explanation:
becouse you first have to add all the chocolates together, with would be 33. Out of the 33, 10 of them are dark chocolate, so your answer would be 10/33
1) The Cuyahoga River is 306 miles long, but boats can only travel on 134
miles of the total length. Write the ratio of the Cuyahoga's navigable length
to its total length as a fraction in simplest form.
Answer:
67/153
Step-by-step explanation:
Find the profit-maximizing price.
80
For a monopolist's product, the demand equation is p = 22 - 2q and the average-cost function is c=2+
q
The profit-maximizing price is $
Answer: [tex]\$11.5[/tex]
Step-by-step explanation:
Given
Demand function is [tex]p=22-2q[/tex]
The average cost function is [tex]c=2+q[/tex]
Total revenue is the product of demand and the price per unit.
[tex]r=\left(22-2q\right)q[/tex]
Profit is given by the difference of the total revenue and the cost
[tex]\Rightarrow P=r-c\\\Rightarrow P=22q-2q^2-2-q\\\Rightarrow P=-2q^2+21q-2[/tex]
Find the derivative of profit to get the maximum profit
[tex]\Rightarrow P'=-4q+21\\\text{Put the derivative equal to 0 to get the maximum profit}\\\\\Rightarrow q=\dfrac{21}{4}[/tex]
Put q in the equation of demand to get the price
[tex]\Rightarrow p=22-2\times \dfrac{21}{4}\\\\\Rightarrow p=22-10.5\\\Rightarrow p=\$11.5[/tex]
Audrey does babysitting on the weekends and receives $15 for 6 hours. At this rate, how much will she get for 8 hours?
Answer:
She makes 2.50 $ a hour and she will make 20 $ at 8 hours
3. If 2(x + 3) = x + 10, then x equals
Your answer
Answer:
x = 4
Step-by-step explanation:
Distribute 2 to the parentheses:
2(x + 3) = x + 10
2x + 6 = x + 10
Subtract x from both sides:
x + 6 = 10
Subtract 6 from both sides:
x = 4
So, x = 4
Answer: x = 4
Step-by-step explanation:
what is 2/9s of 630
Answer: its 18.27
Step-by-step explanation:
Answer:
140
Step-by-step explanation:
The average teaching salary in Georgia is $48,553 per year. The school districts in the metro Atlanta area boast that they pay more. A company that is running a career fair decides to take a random sample of 228 teachers from the metro Atlanta area and record their salaries. The sample mean is $49,021, with a standard deviation of $3,127.
Required:
Do the data provide statistically significant evidence at the 0.06 kevel that the average teaching stay in the metro Atlanta area is greater than the state average?
Answer:
The p-value of the test is 0.0119 < 0.06, which means that the data provides statistically significant evidence at the 0.06 level that the average teaching stay in the metro Atlanta area is greater than the state average.
Step-by-step explanation:
The average teaching salary in Georgia is $48,553 per year. The school districts in the metro Atlanta area boast that they pay more.
At the null hypothesis, we test if they pay the average, that is:
[tex]H_0: \mu = 48553[/tex]
At the alternate hypothesis, we test if they pay more, that is:
[tex]H_1: \mu > 48553[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
48553 is tested at the null hypothesis:
This means that [tex]\mu = 48553[/tex]
Sample of 228 teachers from the metro Atlanta area and record their salaries. The sample mean is $49,021, with a standard deviation of $3,127.
This means that [tex]n = 228, X = 49021, \sigma = 3127[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{49021 - 48553}{\frac{3127}{\sqrt{228}}}[/tex]
[tex]z = 2.26[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample mean above 49021, which is 1 subtracted by the p-value of z = 2.26.
Looking at the z-table, z = 2.26 has a p-value of 0.9881
1 - 0.9881 = 0.0119
The p-value of the test is 0.0119 < 0.06, which means that the data provides statistically significant evidence at the 0.06 level that the average teaching stay in the metro Atlanta area is greater than the state average.
Answer:
it's D
Step-by-step explanation:
If a number is doubled then which of
the following is a correct statement?
Select one:
A. Its cube is eight times the
cube of the given number.
B. Its cube is three times the
cube of the given number.
C. Its cube is two times the
cube of the given number.
D. Its cube is six times the
cube of the given number.
Answer: Its cube is six times the
cube of the given number.
Step-by-step explanation:
Let's assume we have a number which is 2. The cube will be:
= 2³
= 2 × 2 × 2
= 8
Let's now assume, we double the number 2, we'll have 2 × 2 = 4. Therefore, the cube will be:
= 4³
= 4 × 4 × 4
= 64
Therefore, from the explanation above, 2 raise to power 6 is 64. This means, if a number is doubled, then its cube is six times the cube of the given number.
Avery works approximately 2080 hours per year if she earns between $7.50 and $8.25 per hour which is the closest to her annual salary
Answer:
16,000$ is the answer
hope it helped
Write the equation of the line. (please help will mark brainlist)
Answer:
y = 2/3x - 2
Step-by-step explanation:
Lines on the graph: (0, -2) and (3, 0)
Slope:
m=(y2-y1)/(x2-x1)
m=(0+2)/(3-0)
m= 2/3
Slope-intercept:
y - y1 = m(x - x1)
y + 2 = 2/3(x - 0)
y + 2 = 2/3x
y = 2/3x - 2
Find the 7th term of the geometric sequence whose common ratio is
and whose first term is 4.
Answer:
your answer is 36 counting by 4s
Step-by-step explanation:
4
16
20
24
28
32
36
Answer:
28
Step-by-step explanation:
4, 8, 12, 16, 20, 24, 28
h(0)=
evaluate the function please!!
if a tree is 105 metres tall in real life what would be the height of the diagram of the tree if the scale was 1: 1000
Answer:
1.05
Step-by-step explanation:
it is 105 divided by 1000
Answer:
0.105 metres
Step-by-step explanation:
105 divided by 1000
what is 92,572 rounded to the nearest ten thousand
Answer: it is 90,000 i believe
Answer: 90,000
Step-by-step explanation: I think it is 90,000 because if the number was for an example 95,000 it would be 100,000 so the number after the 9 is deciding either it goes up or down
(sorry for the grammar and stuff because I'm from Germany so its not very easy to explain, thanks for understanding)
What is the surface area of the pyramid to the whole number ?
Answer: A ≈ 74.35
Step-by-step explanation: Explanation below.
Pythagorean theorem , HELPPP
Answer:
A=150
Step-by-step explanation:
1/2ab=A
1/2 15x20 = 1/2 300 = 150 = A
Hope this Helps! :)
Answer:
Hypotenuse = 25
Step-by-step explanation:
Pythagorean theorem: a^2+b^2 = c^2
15^2+20^2 = c^2
225+400 = c^2
625 = c^2
25 = c
Andy flipped a coin once and rolled a six-sided number cube numbered 1 through 6. The list below shows the possible outcomes when flipping the coin and rolling the number cube.
H, 1 H, 2 H, 3 H, 4 H, 5 H, 6
T, 1 T, 2 T, 3 T, 4 T, 5 T, 6
What is the probability of the coin landing on tails and the number cube landing on an even number?
A.
1/3
B.
1/2
C.
1/4
D.
3/4
Answer:
C. 1/4
Step-by-step explanation:
The probability of landing tails is 50%, since coins are two sided.
If a cube has 6 numbers, the probability of getting an even number is also 50% since 2,4,and 6 are even while 1,3, and 5 are odd.
The probability of getting both would be 25% (I multiplied 1/2 by 1/2)