Answer:
The court has a length of 70 feet, and a width of 35 feet.
Step-by-step explanation:
We know two things:
the the length is twice the width
l = 2w
We also know that the perimeter is 210 feet. Noting that the perimeter of a rectangle is equal to twice its length plus twice its width, we can say:
210 = 2w + 2l
Now we can substitute the first definition of l into the second equation:
210 = 2w + 2(2w)
And now we can solve for w:
210 = 2w + 2(2w)
210 = 2w = 4w
210 = 6w
w = 210 / 6
w = 35
Now that we have w, we can plug that into our first little equation to find l:
l = 2w
l = 2 × 35
l = 70
So the width of the court is 35 feet, and it's length is 70.
At a party there are 30 students over age 21 and 20 students under age 21. You choose at random 3 of those over 21 and separately choose at random 2 of those under 21 to interview about attitudes toward alcohol. You have given every student at the party the same chance to be interviewed: what is that chance
Answer:
10%
Step-by-step explanation:
According to the scenario, given data are as follows:
Students over age 21 = 30
Students under age 21 = 20
Choose student over age 21 = 3
Choose student under age 21 = 2
So, we can calculate chances by using following method,
Chances of student over age 21 = Number of choose student ÷ Total students
= 3 ÷ 30 = 0.10 = 10%
Similarly, Chances of student under age 21 = Number of choose student ÷ Total students
= 2 ÷ 20 = 0.10 = 10%
Hence, in both condition, chances are 10%.
Which soap deal has the lowest price per ounce?
$5.50 for 13.0 oz
$5.75 for 14.0 oz
$3.45 for 3.5 oz
$5.25 for 12.0 oz
please help me, yall :))))
Select the correct answer.
de.
Currently there are 691,255 trees in a national forest. A park ranger discovered that an
untreatable disease is killing the trees at a rate of 1.5% every year.
Let t represent the number of years after the current date. Determine the inequality that can be
used to model when there will be no more than 621,859 trees, and then solve the inequality for t.
CHECK ATTACHMENT FOR OPTIONS
Answer:
691,255(0.985)t ≤ 621,859; t ≥ 7
Step-by-step explanation:
i just did it. it was C
Answer:
Yes it is corect,
C
Step-by-step explanation:
The cost to produce a batch of granola bars is approximately Normally distributed with a mean of $7.19 and a standard deviation of $0.86. If a random sample of 12 batches of granola bars is selected, what is the probability that the mean cost will be more than $7.00?
0.2220
0.2339
0.7653
0.7780
Answer:
0.7780
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use 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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Population:
We have that [tex]\mu = 7.19, \sigma = 0.86[/tex]
Sample of 12:
[tex]n = 12, s = \frac{0.86}{\sqrt{12}} = 0.2483[/tex]
What is the probability that the mean cost will be more than $7.00?
This is 1 subtracted by the pvalue of Z when X = 7. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{7 - 7.19}{0.2483}[/tex]
[tex]Z = -0.765[/tex]
[tex]Z = -0.765[/tex] has a pvalue of 0.222
1 - 0.222 = 0.778
So the answer is 0.7780
I need help I have 20mons left
Answer:
y=1/2x-7
your welcomee
How to find the domain of a composite function
Answer:
The domain of a composite function f(g(x)) f ( g ( x ) ) is the set of those inputs x in the domain of g for which g(x) is in the domain of f .
HELP PLEASE IM BEGGING PLEASE PLEASE PLEASE
Answer:
h - 18 = 67
Step-by-step explanation:
If h is her height, then her height minus 18 is 67, or h - 18 = 67
Answer:
67 = h - 18
Step-by-step explanation:
Sry I meant h-18 = 67
Please help with this I really need it
Answer:
Step-by-step explanation:
Zachary purchased a computer for $1,400 on a payment plan. Two months after he purchased the computer, his valence was $1,120. Three months after he purchased the computer, his balance was $980. What is an equation that models the balance y after x months??
9514 1404 393
Answer:
y = 1400 -140x
Step-by-step explanation:
In the first two months, Zachary paid ...
1400 -1120 = 280
so 280/2 = 140 per month. This is the amount that the balance decreases each month from the starting balance of $1400.
Zachary's balance (y) can be modeled as ...
y = 1400 -140x
Which values from the set {2,4,6,8,10} make this inequality n + 5 > 10 true?
Answer:
6,8,and 10
Step-by-step explanation:
Answer:
6,8,and 10
Step-by-step explanation:
when you plug in each number from the set into the inequality you will see which values from the set will make the inequality true.
1. 2+5>10 = 7>10 FALSE
2. 4+5>10 = 9>10 FALSE
3. 6+5>10 =11>10 TRUE
4. 8+5>10 = 13>10 TRUE
5. 10+5>10 = 15>10 TRUE
I need help please.
Answer:
0.1 is 5% of 2.
Step-by-step explanation:
Steps:
0.1 ÷ 5% = 2%
Answer:
2
Step-by-step explanation:
5% of 2 is 0.1
50% is 1
5% is 0.1
5.5 is what percent of 6.875?
Answer:
80%
Step-by-step explanation:
The bars in this graph represent the favorite sport listed
by teenagers in a random sample.
Is this graph misleading?
Favorite Sports
O Yes, because the scale does not start at 0
Yes, because the bars are not the same height
O No, because the bars are all the same width
O No, because the scale starts at 0
20
18
16
Frequency
14
12
10
Basketball Football Lacrosse Soccer Volleyball
Favorite Sport
Answer:
A.) yes because the scale does not start at 0
Step-by-step explanation:
edge
Answer:
A
Step-by-step explanation:
The three vertices of a triangle are (2, 1), (6, 1), and (3, 6).
What is the area of the triangle?
Step-by-step explanation:
To find the area of a triangle where you know the x and y coordinates of the three vertices, you'll need to use the coordinate geometry formula: area = the absolute value of Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By) divided by 2. This can help you do it.
This list shows the numbers of stuffed animals nine children own.
6, 12, 2, 5, 1, 6, 15, 10, 13
What is the range of the number of stuff animals the children own?
7
13
14
15
Answer:
I believe it's 14
Step-by-step explanation:
To find the range you subtract to highest and lowest values, (15 and 1)
15 - 1 = 14
I took the test and its 13.
i Write a linear function f with the values f(0) = 7 and f(2) = 12. A function is f(x)
Answer:
y=5/2x+7
Step-by-step explanation:
y=mx+b
12=m(2)+7
5=2m
m=5/2
Please help!!! 10 points for it!!
Answer:
Step-by-step explanation:
x = 180 - ((180-96)+(180-130))
x = 180 - (84+50)
x = 46°
Answer:
x = 46 degrees
Step-by-step explanation:
180 - 130 = 50
180 - 96 = 84
50 + 84 = 134
180 - 134 = 46
Here are some equations that contain a variable and a list of values. Think about what each equation means and find a solution in the list of values. If you get stuck, draw a diagram. Be prepared to explain why your solution is correct.
1000−a=400
12.6=b+4.1
8c=8
2/3d=109
10e=1
10=0.5f
0.99=1−g
h+37=1
Answer:
1.) a=600
2.)b=8.5
3.)c=1
4.)d=163.500
5.)e=0.1
6.)f=20
7.)g=0.010
8.)h=-36
Step-by-step explanation:
There are 23 animals in the barn. Some are chickens some are goats. There are 80 legs in all. How many of each animal is there?
There are 17 goats and 6 chickens
Explaining: (1) C + G = 23
As for legs:
(2) 2C + 4G = 80 (each C has 2 legs and each G has 4 legs)
Solving equation (1): C = 23 - G
Substituting in equation (2)
2(23 - G) + 4G = 80
2G = 34
G = 17
C = 6
An air conditioning System can circulate 480 cubic feet of air per minute. How many cubic yards of air can circulate per minute?
Answer:
1440 cubic yards
Step-by-step explanation:
There are 3 feet in a yard. Multiply 480 x 3 using the algorithm and you get 1440.
Will the answer to the following expression be Positive or Negative?
(-3)(2)(15) =?
a
Positive
b
Negative
Answer:
Negative
Step-by-step explanation:
Bevause negative times positive is negative
Answer:
Negative
Step-by-step explanation:
(−3)(2))(15)
=(−6)(15)
= −90
so it's negative 90 hopefully this helps
You are given that angle RST and angle TUR are right angles. What additional piece of info allows you to prove they are congruent
Answer:
the additional info required is - the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle.
Step-by-step explanation:
As given , RST and angle TUR are right angles.
So the triangles are right angle triangles.
If the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, the two triangles are congruent.
So, the additional info required is - the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle.
A carpenter worked 10 weeks on a particular job, 51/2 days per week and 7 3/4 hours per day. How many hours did the carpenter work on the job?
Answer:
= 426 1/4 hr.
Step-by-step explanation:
5 1/2 = 5.5 Days in a week
7 3/4 = 7.75 hr. Per Day
Total hours in a week = 5.5 × 7.75 = 42.625 hr in a week
In 10 weeks = 42.625 × 10 = 426.25 hr.
Identify how the graph is transformed from that of the parent function.
y = cot(x/5)
>
DONE
y=1/4tan(x)
DONE
The graph is transformed from that of the parent function by using the trigonometric relationship between tangent and cotangent function, dilation of the independent variable and vertical dilation.
How to comparent a parent function with a child functionLet be [tex]f(x) = \cot \frac{x}{5}[/tex] the parent function and [tex]g(x) = \frac{1}{4}\cdot \tan x[/tex] the child function. We can obtain the child function by applying the following three steps:
Relationship between tangent and cotangent functions: [tex]f'(x) = \frac{1}{f(x)} = \frac{1}{\cot \frac{x}{5} } = \tan \frac{x}{5}[/tex]Dilation of the independent variable by 5: [tex]f''(x) = f(5\cdot x) = \tan x[/tex]Vertical dilation by [tex]\frac{1}{4}[/tex]: [tex]g(x) = \frac{1}{4}\cdot f''(x) = \frac{1}{4}\cdot \tan x[/tex]In consequence, the graph is transformed from that of the parent function by using the trigonometric relationship between tangent and cotangent function, dilation of the independent variable and vertical dilation. [tex]\blacksquare[/tex]
To learn more on functions, we kindly invite to check this verified question: https://brainly.com/question/5245372
Answer: first is stretched horizontally, second is compressed vertically
Step-by-step explanation:
You have a loan for $200,000 at 8.5% annual simple interest.what is your monthly interest payment
Answer:
~1467
Step-by-step explanation:
$200,000 x 8.5% or .085 = $17,000 Annualy
$17,000 / 12 Months out of the year = $1466 2/3 Monthly Payments
Answer is $1467 Rounded
The monthly interest payment is $1,467.
Given that,
The loan amount is $200,000.The rate of interest is 8.5%.We need to find out the monthly interest payment.Based on the above information, the calculation is as follows:
[tex]= (\$200,000 \times 8.5\%) \div 12[/tex]
= $1,467
Therefore we can conclude that the monthly interest payment is $1,467.
Learn more: brainly.com/question/13324776
the measures of the three angles of a triangle is 180
in a triangle, the measures of the three angles are x, x + 18, and x - 6. what is the measure of each angle
Answer:
X + X +18 + X-6 = 180
3x + 12 = 180
3x = 168
x= 56
x + 18 = 74
x - 6 =50
Step-by-step explanation:
Answer:
56°, 74°, 50°
Step-by-step explanation:
x + x + 18 + x - 6 = 180
3x + 12 = 180
3x = 168
x = 56
56 + 18 = 74
56 - 6 = 50
which number is composite? (9,5,11,2)
Answer: 9
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
3 x 3 = 9 :)
HELP PLEASSEEEE I NEED TO FIND THE MISSING SIDE HYPOTENUSE
Answer:
B. 6.5
Step-by-step explanation:
You can use the 5 against the unknown number and add a few more moves which makes it 6.5.. It's easier in my head man.
What is the solution to this system of equations?
Answer:
The fourth option i.e. 'no solution' is correct.
Step-by-step explanation:
Given the system of equations
[tex]\begin{bmatrix}\frac{2}{3}x+y=6\\ -\frac{2}{3}x-y=2\end{bmatrix}[/tex]
Adding both equations
[tex]-\frac{2}{3}x-y=2[/tex]
[tex]+[/tex]
[tex]\underline{\frac{2}{3}x+y=6}[/tex]
[tex]0=8[/tex]
so the system of equations becomes
[tex]\begin{bmatrix}\frac{2}{3}x+y=6\\ 0=8\end{bmatrix}[/tex]
0 = 8 is FALSE!
Therefore, the system of equations has no solution.
Thus,
No Solution!
Hence, the fourth option i.e. 'no solution' is correct.
