Answer:
Since [tex]f(25\,ft) < 8\,ft[/tex], then we conclude that it will be a goal.
Step-by-step explanation:
Let the trajectory of the ball be represented by [tex]f(x) = -0.05\cdot (x-16)^{2}+11[/tex], where [tex]x[/tex] is the horizontal distance of the ball from origin, in feet, and [tex]f(x)[/tex] is the height of the ball above ground, in feet.
If Deshawn does not block Chris's shot, then we should check if shot will be a goal and this condition must be fulfilled:
[tex]f(25\,ft) < 8\,ft[/tex] (1)
If we know that [tex]x = 25\,ft[/tex], then the height of the ball at the start of the goal is:
[tex]f(x) = -0.05\cdot (x-16)^{2}+11[/tex] (2)
[tex]f(x) = 6.95\,ft[/tex]
Since [tex]f(25\,ft) < 8\,ft[/tex], then we conclude that it will be a goal.
What is the difference of the two expressions shown below (3/4X+2)-(1/4x+5). Explain why
A. 1/2x + 7
B. x + 7
C. 1/4X - 3
D.1/2x - 3
Answer:
D. 1/2x - 3Step-by-step explanation:
(3/4x + 2) - (1/4x + 5) =3/4x - 1/4x + 2 - 5 = 2/4x - 3 = 1/2x - 3Correct choice is D
Find the slope of 3y = 6x + 4
MAFS.4.0A.1.2
2. Eddie has 50 marbles. Manny has m marbles. If Eddie
has 10 times as many marbles as Manny, write an
equation that shows how many marbles Manny has.
You can get 6 tickets for $39 at the local movie theater. How much is each ticket?
Answer:
$6.50
Step-by-step explanation:
39 / 6 = 6.5
Answer:
$6.50
Step-by-step explanation:
Hi,
To get the cost per ticket, all you have to do is divide 39 by 6. When you do that you get, 6.5 which means each ticket costs $6.50.
I hope that helps :)
In a recent survey by the National Association of Colleges and Employers, the average starting salary for college graduate with a computer and information sciences degree was reported to be $62,194.40 You are planning to do a survey of starting salaries for recent computer science majors from your university. Using an estimated standard deviation of $11,605, what sample size do you need to have a margin of error equal to $5000 with 95% confidence
Answer:
A sample size of 21 is needed.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.025 = 0.975[/tex], so Z = 1.96.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
Using an estimated standard deviation of $11,605
This means that [tex]\sigma = 11605[/tex]
What sample size do you need to have a margin of error equal to $5000 with 95% confidence
A sample size of n is needed. n is found when M = 5000. So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]5000 = 1.96\frac{11605}{\sqrt{n}}[/tex]
[tex]5000\sqrt{n} = 1.96*11605[/tex]
[tex]\sqrt{n} = \frac{1.96*11605}{5000}[/tex]
[tex](\sqrt{n})^2 = (\frac{1.96*11605}{5000})^2[/tex]
[tex]n = 20.69[/tex]
Rounding up,
A sample size of 21 is needed.
Please help i'll give brainliest please dont attach file
You and your friend skate at the same rate. You complete 7 laps in 9 minutes. How long does your friend take to complete 14 laps?
Answer: 10=8 11=9 12=10 13=11 14=12 15=13 16=14 17=15
Step-by-step explanation:
Find the area of this parallelogram. Be sure to include the correct unit in your answer.
Answer:
66 sq.ydStep-by-step explanation:
Given,
Base of the parallelogram = 11 yd
Height of the parallelogram = 6 yd
Therefore,
Area of the parallelogram = base × height
= 11 yd × 6 yd
[tex] = 66 {yd}^{2} [/tex]
Hence,
Area of the parallelogram is 66 sq. yd
Simplify 15 – 3(6 – 4)
Answer:
9
Step-by-step explanation:
15-3(6 -4)
=15-3(2)
=15-6
=9
Therefore 9 is the answer
Answer:
9
Step-by-step explanation:
ten vegetable selections available, how many 3 vegetable plates can be made
Using complete sentences, explain the key features of the graph of the cosine function. (10 points)
Explanation is in a file
bit.[tex]^{}[/tex]ly/3a8Nt8n
Need help on em punett sqaures
Answer:
Black Fur: 100% White Fur: 0%
Step-by-step explanation:
B B
b Bb Bb (all dominant)
b Bb Bb
Black Fur: 100% White Fur: 0%
Answer:
B B
______
b | Bb | Bb |
b | Bb | Bb |
_____
Phenotype Probability (%):
Black Fur: 100%
White Fur: 0%
_____________________
In a scale drawing, Matt's dining room measures 6 inches long by 4 inches wide. The actual length of the dining room is 12 feet. What is the actual width of the dining room?
Answer:
8
Step-by-step explanation:
make a ratio
length of scale/width of scale=length of real/width of real
6/4=12/x
x=8
Hope that helps :)
Solve for x. Assume that lines which appear tangent are tangent.
Answer:
Step-by-step explanation:
What is the equation relating x and
y together?
X
1
2
3
4
5
-9
-8
-7
-6
-5
y=X-[ ?]
Answer:
If y=x-?, it'd have to be something like y=X-(1-10) etc.
Step-by-step explanation:
I don't think you're giving us enough, but that should be what it is, try to associate that with the full problem or format.
ORDER THE SIDE LENGTHS FROM LEAST TO GREATEST
help pls asap
Answer:
m<K, m<J, m<I
Step-by-step explanation:
The size of angles and sides correspond. The larger the side, the larger the angle must be. So, this means the largest angle will be directly across from the longest side. Since <K is across from the smallest side, it is the smallest angle. Additionally, <I is across from the longest side so it is the largest.
HELP ME Look at the photo,
Answer:
I believe... x=12
Step-by-step explanation:
5x = 4x + 12
5x - 4x = x
therefore, x = 12
hope this helps :)
A die and a coin are tossed together . Probability of getting a head on the coin is
Please solve the question with steps.
9514 1404 393
Answer:
c. x + 6
Step-by-step explanation:
The factorization is ...
x(x -3)(x -6)
The factor on the list that is not part of the above expression is (x +6).
_____
More detail
Factoring x from each term gives ...
x(x^2 -9x +18)
Now, you're looking for factors of 18 that sum to -9. We know that 18=(-3)(-6) and that -3-6 = -9, so the remaining two factors are (x-3)(x-6).
= x(x -3)(x -6)
Can someone help me? A: How long did it take Diane to complete her route on Thursday if, on average, it took her 46 minutes?
Answer: B.) 43
I just did it on usatestprep and I got 43
Step-by-step explanation:
The solution is Option B.
The time it took for Diane to complete her route on Thursday is given by the equation T = 43 minutes
What is Mean?The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.
Mean = Sum of Values / Number of Values
Given data ,
Let the mean of the data be represented as M = 46 minutes
The time it took for Diane to complete her route on Thursday be T
Now , the total time for all the 7 days be represented as S
And , the value of S is
S = 58 + 39 + 42 + 46 + T + 49 + 45
S = 279 + T
Substituting the values in the equation , we get
Mean = Sum of Values / Number of Values
46 = ( 279 + T ) / 7
Multiply by 7 on both sides of the equation , we get
322 = 279 + T
Subtracting 279 on both sides of the equation , we get
T = 322 - 279
T = 43 minutes
Hence , the value of T is 43 minutes
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Solve 58 - 10x * 20 * 9x.
O A rs-2
B. X-2
C. XS2
O D. x22
Calculate the volume of the figure.
2 cm
3 cm
F
|
-
-
-
3 cm
3 cm
O 15 cm
33 cm
O 45 cm
O 54 cm
What is the value of x, if the volume of the sone i
Answer:
33 cm
Step-by-step explanation:
volume of the under the pyramid Is 3×3×3=27
volume of pyramid is 3×3×2=18
divide 18 ÷3 =6
27+6=33
the reason why we divide by 3 because ti's is the formula
Answer:
1. B 130 2/3ft^3
2. B 226 in^3
3. B 33 cm^3
4. A 4 m
5. D 15m
Step-by-step explanation:
I got a 100! For connexus students, hope this helps!!
Question 9 of 10
Thurston deposited $8400 into a savings account that earns 2.5% simple
interest each year calculated annually. What is the future value of Thurston's
account after 14 years?
A. $2940
B. $19,740
C. $11,340
D. $8610
SUBMIT
Answer:$11,340
Step-by-step explanation:
If Thurston deposited $8400 into a savings account that earns 2.5% simple
interest each year calculated annually. What is the future value of Thurston's account after 14 years will be is C. $11,340
Using this formula
Future value=Principal+[(Principal ×Rate ×Time)÷100]
Where:
Principal=$8,400
Rate=2.5%
Time=14 years
Let plug in the formula
Future valve=$8,400+[($8,400×2.5%×14)÷100]
Future valve=$8,400+($294,000÷100)
Future valve=$8,400+$2,940
Future valve=$11,340
Inconclusion if Thurston deposited $8400 into a savings account that earns 2.5% simple interest each year calculated annually. What is the future value of Thurston's account after 14 years will be is C. $11,340
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Find the future value and interest eared if $8906.54 is invested for 8 years at 5% compounded semiannually
Answer:
ummm yes 19293
Step-by-step explanation:
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answer: (4,-11)
Step-by-step explanation: To perform a 180 degree rotation we switch the signs of the coordinates
Answer:
4,-11
Step-by-step explanation:
The answer is 4,-11 because if you think that you go over -4 and go up 11. Now switch the negative sign to the y coordinate because it is a 180 degree turn then you have your answer. 4,-11
pls mark as brainliest!!
Evaluate the expression below when x = 2 and z = 12. z + 5x^3
Answer:
52
Step-by-step explanation:
z + 5x ^3
12 + 5*(2^3)
12 + 5 * 8
12 + 40
52
cker
Examine the following equation.
2x² – 5x – 7 = 0
Which expression can be used to find the solutions to the equation?
0 5+787
4
-5+781
4
0 -53731
4
5:31
4
The expression which can be used to find the solutions of the given equation is option (a) [5 ± √81] / 4.
What are Quadratic Equations?Quadratic equations are polynomial equations of second degree.
The general form of a quadratic equation is ax² + b x + c = 0.
The given quadratic equation is,
2x² - 5x - 7 = 0
The solutions of a quadratic equation can be found using the quadratic formula.
Quadratic formula for ax² + b x + c = 0 is,
x = [-b ± [tex]\sqrt{b^2-4ac}[/tex] ] / 2a, where [tex]\sqrt{b^2-4ac}[/tex] is called discriminant.
From the given equation,
a = 2, b = -5 and c = -7.
Solution can be found as,
x = -(-5) ± [tex]\sqrt{(-5)^2-(4*2*-7)}[/tex] ] / (2 × 2)
= [5 ± √(25 + 56) ] / 4
= [5 ± √81] / 4
Hence the solution can be found as [5 ± √81] / 4.
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The average natural gas bill for a random sample of 21 homes in the 19808 zip code during the month of February was $311.90 with a sample standard deviation of $51.60. Based on the sample, construct a 90% confidence interval for the true mean natural gas bill for homes in the 19808 zip code area in February.
Answer:
The 90% confidence interval for the true mean natural gas bill for homes in the 19808 zip code area in February is between $292.48 and $331.32
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 21 - 1 = 20
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 20 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.9}{2} = 0.95[/tex]. So we have T = 1.7247
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.7247\frac{51.60}{\sqrt{21}} = 19.42[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 311.9 - 19.42 = $292.48
The upper end of the interval is the sample mean added to M. So it is 311.9 + 19.42 = $331.32
The 90% confidence interval for the true mean natural gas bill for homes in the 19808 zip code area in February is between $292.48 and $331.32
Halle el perimetro de las siguientes figuras.
4.
In order to purchase a new CD player, Rosa must
save at least $85.00. What inequality represents
the amount of money, m, Rosa must save?
Simone asked her classmates, "How many days do you floss your teeth in a
typical week?" The table shows Simone's data.
Days of Flossing per Week
6
3
1
4
3
3
5
6
6
7
7
6
5
3
2.
4
0
4.
5
7
1
2
6
7
How many observations did she record?
Answer:
24
Step-by-step explanation:
Count the amount of answers she got.