Answer:
y = f/9
Step-by-step explanation:
Area of a floor in square yards = y = f/9
Area of a floor in square feet = f
The number that represents the area of the floor in square feet is 9 times the number representing the area in square yards. This makes sense because the ratio of yard to feet is 1 : 3 and the ratio of square yard to square feet is the same ratio but squared so 1 : 9.
If y represents the area in square yards and f the area in square feet.
y = f/9
Allison earns a 10% commission on her weekly sales. Each week, she puts of her commission in a savings account and uses the amount remaining on bills. If Allison's sales for one week were $2,300.00. how much money does she use for bills?
Answer:
$2,070 is how much she will use for bills.
saul's makes green paint by mixing bule paint and yellow paint. For every 4 gallons of green paint, he uses 3 gallons of bule paint. what is the correct number of each type of paint into the box that would make 16 gallons of paint the same shade of green
Answer:
12 gallons of blue 4 gallons of yellow
A university considers giving only pass/fail grades to freshmen to reduce competition and stress. The student newspaper interviews faculty members and reports their opinions of the proposed policy. Suppose that 70% of the faculty favor the pass/fail proposal. Assuming 50 faculty members are interviewed. The goal is to find the probability that a majority (26 or more) will favor the proposal.
Answer:
0.9983 = 99.83% probability that a majority will favor the proposal.
Step-by-step explanation:
We use the normal approximation to the binomial to solve this question.
Binomial probability distribution
Probability of exactly x sucesses on n repeated trials, with p probability.
Can be approximated to a normal distribution, using the expected value and the standard deviation.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
Suppose that 70% of the faculty favor the pass/fail proposal. Assuming 50 faculty members are interviewed.
This means, respectively, that [tex]p = 0.7, n = 50[/tex]
Mean and standard deviation:
[tex]\mu = E(X) = np = 50*0.7 = 35[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{50*0.7*0.3} = 3.24[/tex]
Probability that a majority (26 or more) will favor the proposal.
Using continuity correction, this is [tex]P(X \geq 26 - 0.5) = P(X \geq 25.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 25.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{25.5 - 35}{3.24}[/tex]
[tex]Z = -2.93[/tex]
[tex]Z = -2.93[/tex] has a pvalue of 0.0017
1 - 0.0017 = 0.9983
0.9983 = 99.83% probability that a majority will favor the proposal.
3
Choose all the expressions that are equal to
A.
8
15
5
11
B.
7
12
+
6
C. 5
6
-
1
12
D.
5. 1+
E.
7
20
3
5
Answer:
the answers (D)
Step-by-step explanation:
kate pays $203 in advance on her account at the athletic club. Each time she uses the club, $9 is deducted from the account. Find the remaining in the account after 12 visits
Answer:
95
Step-by-step explanation:
The equation to solving this would be 203 - (9 multiply 12). If you multiply 9 and 12 you get 108. Minus 108 from 203 and you get 95.
Triangle A is transformed by the
combined transformation of a rotation
of 180° about the point (-1,0) followed
by a translation with vector
-3
2)
One point on triangle A is invariant
under the combined transformation.
What are the coordinates of this point?
Answer:
( -2.5 , 1 )
Step-by-step explanation:
(-2.5 ,1 ) hope this helps u
Please help with either of these questions. Put the answer in the comments please
Answer:
2) distance = 4 km
Displacement = 4 km east
3) distance = 35 km
Displacement = 5 km north
Step-by-step explanation:
2. He runs for 3 km in the east direction and then stops.. He now runs another 1 km in the same direction then stops.. Thus,
Total distance covered = 3 + 1 = 4 km
Total displacement is how far he is from his starting point = 3 + 1 = 4 km east
3) Runs 20km north and then runs 15 km back from starting point.
Thus;
Total distance covered = 20 + 15 = 35 km
Total displacement is distance from starting point = 20 - 15 = 5 km north
Subtracted because an opposite direction was taken after the 20km back to her starting point.
Which measure of spread is least affected by the long tail in the graph?
Answer:
Image result for Which measure of spread is least affected by the long tail in the graph?
IQR
Answer: The IQR is least affected by the long tail on the right of the graph. The IQR is the inter-quartile range. It is the length of the box in the middle of the graph. Having the long tail on the right does not affect the box.
Step-by-step explanation:
What is the measure of the missing angle?
Answer:
115
Step-by-step explanation:
To find the missing angle all you have to do is add the 2 nonadjacent interior angles which are 75 and 40 to get the exterior angle which is 115.
Hope this helps!:)
help teacher graph only
9514 1404 393
Answer:
see attached
Step-by-step explanation:
A graphing calculator or spreadsheet program can plot these points for you. It's probably no more work to actually plot the points yourself on the given graphs than it is to type them into a program.
As you know, the x-coordinate is the horizontal distance from the y-axis. Positive is to the right.
The y-coordinate is the vertical distance from the x-axis. Positive is up.
[tex] {3}^{x ^{2 - 1} } = \frac{ {27}^{ - x} }{3 } [/tex]
Answer:
-1/4
Step-by-step explanation:
6. Y(3.5, 1), Z(-4, 2.5)
Please help
Answer:
Answer given below
Step-by-step explanation:
5. Root 104 = 10.1
10.1 x 0.5 = 5.05 miles
Line A is represented by the equation given below:
x + y = 4
What is most likely the equation for line B, so that the set of equations has infinitely many solutions? (1 point)
4x + 4y = 4
4x + y = 4
2x + 2y = 8
x + y = 8
Answer:
3
Step-by-step explanation:
2x + 2y = 4
dividing both sides by 2,we get
x + y = 4,which is the same line A
so this set of equations has infinitely many solutions as they intersect each other at infinite points i.e they overlap eachother
Store A sells 12 juice bottles for $4 and store B sells 18 juice bottles for $6. Are these rates equivalent? Explain your reasoning.
Answer:
these rates are equivalent.
12bottles/$4= 18bottles/$6= 3bottles/$1
Step-by-step explanation:
pls just solve its 7th grade not hard :)
A number, x, rounded to 1 decimal place is 3.7
Write down the error interval for x.
Answer: (3.65, 3.74)
Step-by-step explanation:
Now, when we round a number to a given decimal place, we need to look at the decimal to the left of the decimal place where we are rounding.
if it is 5 or more, we round up
if it is smaller than 5, we round down.
Then for example, if we want to round:
4.534
to the first decimal place, we need to look at the second decimal place.
we can see that it is a 2.
Then we round down, and get:
4.5
Now we know that, when rounding to the first decimal place, we have:
x = 3.7
Then the maximum value that x could have is:
x = 3.74 (because here we round down to 3.7)
and the minimum value that x could have is:
x = 3.65 (because here we round up to 3.7)
Then the error interval for x is:
(3.65, 3.74)
How does 17- (-15) compare to 17-0
It is due there is 5 minutes please complete this. I will give brainlest, and extra points just complete this please
Can someone help me please ?
Step-by-step explanation:
For A
The name of two similar triangles is ABC and CED.
For b
If two pairs of corresponding angles in a pair of triangles are congruent, then the triangles are similar. We know this because if two angle pairs are the same, then the third pair must also be equal. When the three angle pairs are all equal, the three pairs of sides must also be in proportion.
Here
< BAC = < CED ( given)
<ACB = < ECD ( vertically opposite angles)
The diameter of a circle is 4 cm. Find its area in terms of \piπ.
Answer:
Area of circle = 4π.
Step-by-step explanation:
Given the following data;
Diameter = 4cm
Pie = π.
To find the area of the circle;
Radius = diameter/2
Radius = 4/2
Radius = 2cm
Area of a circle = πr²
Substituting into the equation, we have;
Area of circle = π*2²
Area of circle = 4π.
18. Which of the following correctly shows 2,354,769 rounded to the nearest ten thousand?
as uve not shown no options it shud be round bout 2350000
Step-by-step explanation:
Answer:
2,350,000
Step-by-step explanation:
this is the answer I believe
Use the Distributive Property to simplify the expression.
$\frac{1}{4}\left(8+x+4\right)=$
simplify the first expression 5(m+1)-1=
Answer:
-0.8/ -4/5
Step-by-step explanation:
5(m+1) -1 = 0
5m +5 -1 = 0
5m +4 =0
5m= -4
m= -4/5
The wages
w
(in £) Gordon earns is the number of hours he works
n
multiplied by his hourly rate
r
(in £ per hour). Enter a formula for Gordon's wages and enter the wage he would earn if he worked 5 hours at a rate of £10.40 per hour
n×r=£w
That is the equation you would use. Just put 5 in place of the N, and £10.40 in place of the R
1
2
b= 2 in.; c= 6 in.
A= sq. in.
Please help mark brainliest and big points
Answer:
I believe the answer is 5.657 square inches.
Step-by-step explanation:
7. If it takes 2 gardeners 6 hours to landscape a garden, how long would it take 3 gardeners?
12
8. Question 7 is an example of...
Direct proportion
Inverse proportion
I will give you Brianlyist
Answer:
what do you need help with?
Step-by-step explanation:
**you will get a real answer i promise**:)
Answer:
I don't understand the problem
Determine if the following is discrete or continuous data: The function c =
12p gives the cost c based on the number of pizzas p.
Answer:
Step-by-step explanation:
Remember, discrete data is separate, by itself, but continuous data goes on and can have numbers in between. So this problem is c = 12p is the cost of pizzas, you can have 1 pizza, 2 pizzas, 10 pizzas, 30 pizzas, etc., but you can't have 2.1314552 pizzas or 4.5, etc., so the data is discrete. Think of the graph, you would not connect the dots if you were graphing this data.
a woman spent 3/5 of her weekly salary on rent and 25% of her weekly salary on food. Her food cost $2500. How much did she spend on rent
Answer:
$6,000
Step-by-step explanation:
If her food costed $2500 and was 25%, then she had $10,000 to begin with. 3/5 of $10,000 is $6,000, so her rent costs $6,000.
Answer:
$6,000 on rent
Step-by-step explanation:
Find her weekly salary by dividing 2500 by 0.25
2500/0.25
= 10,000
Now, find how much she spent on rent by multiplying 10,000 by 3/5
10,000(3/5)
= 6,000
So, she spent $6,000 on rent
Find dy/dx by implicit differentiation.
7x^2 – 2y^2 = 16
dy/dx = ?
Answer: ANSWER DOWN BELOW
Step-by-step explanation:
Which equation below represents the inverse function B(a), which takes the
trapezoid's area as input and returns as output the length of the other base?
Answer:
where are the choices?
Step-by-step explanation:
Where are the choices?