Answer:
The discriminant of the equation is less than zero. The gymnast's hands do not reach a height of 11 feet
Step-by-step explanation:
The gymnast's hands does not reach a height of 11 feet above the trampoline.
What is Quadratic Equation?A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is a[tex]x^{2}[/tex] + bx + c = 0, where a and b are the coefficients, x is the variable, and c is the constant term.
It is given that ,
h= [tex]-16x^{2} +12x[/tex]
11-6= [tex]-16x^{2} +12x[/tex]
5 = [tex]-16x^{2} +12x[/tex]
[tex]-16x^{2} +12x[/tex] -5=0
Comparing the above equation with the standard form of quadratic equation [tex]ax^{2} +bx+c=0\\[/tex]
we get ; a=-16, b=12, c=-5
Using Discriminant method
D= [tex]\sqrt[]{b^{2} - 4*a*c}[/tex]
= [tex]\sqrt[]{(12)^{2} - 4* (-16)*(-5)}[/tex]
= [tex]\sqrt[]{144-320}[/tex]
= [tex]\sqrt[]{-176}[/tex]
Hence D<0, which means there is no real value.
So, the gymnast's hands does not reach a height of 11 feet above the trampoline.
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The water works commission needs to know the mean household usage of water by the residents of a small town in gallons per day. They would like the estimate to have a maximum error of 0.130.13 gallons. A previous study found that for an average family the variance is 2.562.56 gallons and the mean is 16.316.3 gallons per day. If they are using a 80%80% level of confidence, how large of a sample is required to estimate the mean usage of water? Round your answer up to the next integer.
Answer:
Therefore, a sample that is required to estimate the mean usage of water must be at least 249.
Step-by-step explanation:
We are given that they would like the estimate to have a maximum error of 0.13 gallons.
A previous study found that for an average family the variance is 2.56 gallons and the mean is 16.3 gallons per day.
As we know that; Margin of error formula is given by;
Margin of error = [tex]Z_(_\frac{\alpha}{2}_) \times \text{Standard of error}[/tex]
where, [tex]\alpha[/tex] = level of significance = 1 - 0.80 = 20% and [tex](\frac{\alpha}{2} )[/tex] = 10%
Standard of error = [tex]\frac{\sigma}{\sqrt{n} }[/tex]
where, [tex]\sigma[/tex] = standard deviation = [tex]\sqrt{2.56}[/tex] = 1.6
n = sample size
Also, the critical value of z at 10% significance level is given in the z table as 1.282.
SO, Margin of error = [tex]Z_(_\frac{\alpha}{2}_) \times \frac{\sigma}{\sqrt{n} }[/tex]
0.13 = [tex]1.282 \times \frac{1.6}{\sqrt{n} }[/tex]
[tex]\sqrt{n}[/tex] = [tex]\frac{1.282 \times 1.6}{0.13}[/tex]
n = [tex]15.8^{2}[/tex]
n = 248.95 ≈ 249.
Therefore, a sample that is required to estimate the mean usage of water must be at least 249.
Eight more than the number of children is 24.
Answer:
c+8 = 24
16 children
Step-by-step explanation:
Let c = number of children
8 more than
c+8
is means equals
c+8 = 24
Subtract 8 from each side
c+8-8 = 24-8
c = 16
Antoine stands on a balcony and throws a ball to his dog, who is at ground level. The balls height (in meters above ground), x seconds after Antoine threw it, is modeled by: h(x) = 2x^2+4x+16
What is the height of the ball at the time it is thrown?
Answer:
16 meters
Step-by-step explanation:
when the ball is thrown, the initial time is 0 seconds. Therefore, x =0.
h(0) = 2(0)^2 +4(0) + 16
h(0) = 16
the height of the ball at the time it is thrown is 16 meters.
Answer:
16 meters
Step-by-step explanation:
Got it right on khan
A hat contains 5 balls. The balls are numbered 1, 2, 4, 7, and 8. One ball is randomly selected and not replaced, and then a second ball is selected. The numbers on the 2 balls are added together. A fair decision is to be made about which one of two restaurants to eat at, using the sum of the numbers on the balls.
The restaurant options are Joe's Place or Taco Towne.
Which description accurately explains how a fair decision can be made in this situation?
a) If the sum of the balls is a factor of 30, eat at Joe's Place. If the sum is not a factor of 30, eat at Taco Towne.
b) If the sum of the balls is less than 10, eat at Joe's Place. If the sum of the balls is 10 or more, eat at Taco Towne.
c) If the sum of the balls is even, eat at Joe's Place. If the sum of the balls is odd, eat at Taco Towne.
d) If the sum of the balls is a multiple of 3, eat at Joe's Place. If the sum is not a multiple of 3, eat at Taco Towne.
Answer:
a) If the sum of the balls is a factor of 30, eat at Joe's Place. If the sum is not a factor of 30, eat at Taco Towne.
Step-by-step explanation:
The sum table can be represented as :
1 2 4 7 8
1 X 3 5 8 9
2 3 X 6 9 10
4 5 6 X 11 12
7 8 9 11 X 15
8 9 10 12 15 X
The Probability sum is a factor of 30 = P(sum is 3, 5, 6, 10, 15)
= [tex]\dfrac{2}{20} +\dfrac{2}{20}+\dfrac{2}{20}+\dfrac{2}{20}+\dfrac{2}{20}[/tex]
= [tex]\dfrac{10}{20}[/tex]
= [tex]\dfrac{1}{2}[/tex]
The Probability sum less than 10 = P(sum is 3,5,8,9,6)
= [tex]\dfrac{2+2+2+4+2}{20}[/tex]
= [tex]\dfrac{3}{5}[/tex]
The probability sum is even = P( sum is 6,8,10, 12)
= [tex]\dfrac{2+2+2+2}{20}[/tex]
= [tex]\dfrac{8}{20}[/tex]
= [tex]\dfrac{2}{5}[/tex]
The probability sum is a multiple of 3 = P( sum is 3,6,9,12,15)
= [tex]\dfrac{12}{20}[/tex]
= [tex]\dfrac{3}{5}[/tex]
since the probability that is the sum of the ball is a factor of 30 is [tex]\dfrac{1}{2}[/tex] , Thus, the probability that the sum is not a factor of 30 will also be [tex]\dfrac{1}{2}[/tex] . Thus; the description that accurately explains how a fair decision can be made in this situation is option A.
a) If the sum of the balls is a factor of 30, eat at Joe's Place. If the sum is not a factor of 30, eat at Taco Towne.
PLEASE HELP ME....which is the unit rate
Answer:
i think it is the first one
Step-by-step explanation:
A unit rate is a ratio between two different units with a denominator of one. When we divide a fraction's numerator by its denominator, the result is a value in decimal form. Examples include 8 / 4 = 2 and 3 / 6 = 0.5
6, 12, 18 and 24 are the first four multiples of 6.
What are the next 2 multiples?
Answer:
30 and 36
Step-by-step explanation:
six times two equals 12
6 * 3 = 18
and six times four equals 24.
to get the next two multiples, You need to multiply 6 by 5, and then 6
6 * 5 = 30 and 6 * 6 = 36
a bridge will be supported by 16 cylindrical concrete supports, each of which has a height of 12 meters and a circumference of 7 meters. how much concrete will be needed to support the bridge
Answer:
you need 4 bricks
Step-by-step explanation:
Answer:748.66 cubic centimeters
Step-by-step explanation: don’t have it
G
If f(x) = 6x – 4, what is f(x) when x = 8?
Answer: f(x)=44
Step-by-step explanation:
Since x is given, we can directly plug it into our function.
[tex]f(8)=6(8)-4[/tex]
[tex]f(8)=48-4[/tex]
[tex]f(8)=44[/tex]
A line intersects the points (-8,-1) and (1,8). What is the slope-intercept equation for this line?
Slope is the change in y over the change in x:
Slope = (8 - (-1) ) / ( 1 - (-8))
Slope = 9/ 9
Slope = 1
A bag contains 5 balls: 3 blue, 1 red, and 1 yellow. You select a ball at random 4 times, replacing the ball after each selection. Calculate the theoretical probability of getting a blue ball exactly 3 times
Answer:
[tex] P(X=3)[/tex]
And replacing we got:
[tex]P(X=3)=(4C3)(0.3)^3 (1-0.3)^{4-3}=0.0756[/tex]
Step-by-step explanation:
Let X the random variable of interest "number of times that we select a blue ball", on this case we now that:
[tex]X \sim Binom(n=4, p=3/10)[/tex]
The probability is always the same since we replace the ball selected in each trial.
The probability mass function for the Binomial distribution is given as:
[tex]P(X)=(nCx)(p)^x (1-p)^{n-x}[/tex]
Where (nCx) means combinatory and it's given by this formula:
[tex]nCx=\frac{n!}{(n-x)! x!}[/tex]
And we want to find this probability:
[tex] P(X=3)[/tex]
And replacing we got:
[tex]P(X=3)=(4C3)(0.3)^3 (1-0.3)^{4-3}=0.0756[/tex]
If 6 + x + y = 20 and x + y = k, then 20 - k =
Answer:
6
Step-by-step explanation:
6 + x + y = 20
Subtract 6 from each side
x+y = 20-6
x+y = 14
x + y = k
14 = k
we want to find 20 -k
20 - 14
6
Answer:6
Step-by-step explanation:
Twenty-seven minus 2 of a number (™) is not more than 36. What is the number?
A. x > 42
B. X2-6
OC. X<3
OD. X5-6
Mercury is 36 million miles
way from the sun. Venus
672 million miles from
the sun what is the
difference in distance
Answer:
636 million miles.
Step-by-step explanation:
672 minus 36 is 636. (Because they're both in the millions, you can just subtract their face values).
Since they have the same term (million) we simply subtract 672 and 36, then add million to the answer. 636 million miles is the difference in distance.
Marti sells tacos and burritos from a food truck at the farmers market. She sells burritos for $3.50 each and tacos for $2.00 each. She hopes to earn at least $120 at the farmers' market this Saturday.
Let x equal the number of burritos that Marti sells, and let y equal the number of tacos that Marti sells. Select the linear inequality that represents the solution to this problem.
Question 4 options:
3.5x + 2y ≤ 120
3.5x + 2y ≥ 120
3.5(x + y) > 120
2x + 3.5y ≤ 120
Answer:
450.00
Step-by-step explanation:
7.987 ot the tenths place
Answer:
If your were rounding 7.987 to the tenths place, you would get 8.
To round to the tenths place, you are trying to make the number enda tthe tenths place.
You are rounding the 9 in the tenths place, so look at the hundredths place. Since 8 is larger than 5, round the 9 up to 10.
We can't write 7.10 because that is a different number, so add the 1 to the 7 to get 8.
The final answer would be 8.0 or just 8.
Ms. Sheppard cuts 1/2 of a piece of construction paper. She uses 1/6 of the piece to make a flower. What fraction of the sheet of paper does she used to make flower?
Answer:
1/12
Step-by-step explanation:
can you help me?? you can just read the picture i took in the bottom
Answer: The answer is in the steps
Step-by-step explanation:
M h
15 40
20 45
25 50
30 55
17.
Your gross income is
$4,520.00/month. Your deductions are FICA (7.65%), federal tax withholding (11.75%),
and state tax withholding (8.5%). Your fixed expenses are 30% of your realized income.
You saved 5 months' worth in an emergency fund, placing 75% in a 60-day CD at a 5.25%
APR and the rest in a regular savings account at a 3.8% APR. How much is in the savings
account?
$1,777.10
$1,222.10
$1,969.55
Answer:
1,969.55 is the answer
What is the descriminant of 3x^2-10x=-2
Answer:
The discriminant of 3x^2-10x=-2 is 76
Step-by-step explanation:
3x^2-10x+2=0
Where a = 3, b = -10, and c = 2
The discriminant of 3x^2-10x=-2 is 76
Answer: 76
Hope this helps.
Television sizes are labeled by the measure of the diagonal. What size is the TV below?
Answer:
55 inches.
Step-by-step explanation:
So, in the question above we are given the following data or parameters or information which will assist us in solving this kind of question efficiently. Here are the information needed below;
(1). "Television sizes are labeled by the measure of the diagonal.''
(2). "47.5 inches up top and the side is 27 inches" which are the length and the breadth respectively. Therefore, we will make use of the formula below In solving this question;
Size of the Television = √[(Length of the Television)^2 × (breadth of the television)^2].
Hence, the size of the Television = √( 47.5)^2 + (27)^2. = 54.63744137494.
Approximately:
The Size of the Television = 55 inches.
Describe how to regroup to solve the subtraction problem below what is the difference 456-238
Answer:
218
Step-by-step explanation:
456 - 238 =
Borrow 1 from 5 so number is 4 4 16 - 238=
16-8 = 8 in ones' place
4 - 3 = 1 in tens' place
4 - 2 = 2 in hundreds' place
The difference between 456 and 238 is 218.
To regroup and solve the subtraction problem 456 - 238, you can follow these steps:
1. Begin by writing down the two numbers vertically, with the larger number (456) on top and the smaller number (238) below it:
456
- 238
2. Start by subtracting the ones (or units) column.
Since 6 is larger than 8, you need to regroup.
Borrow 1 ten from the tens column of 5. This will make the 5 in the tens column become 4, and you add the borrowed ten to the ones column. So, the subtraction becomes 16 - 8, which equals 8:
456
- 238
-------
8
3. Next, move to the tens column.
Subtract 4 (the regrouped value) from 5, which equals 1:
456
- 238
-------
1 8
4. Finally, subtract the hundreds column. Subtract 2 from 4, which equals 2:
456
- 238
-------
2 1 8
Therefore, the difference between 456 and 238 is 218.
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Which statement is true about the Internet connection cost?
It costs $5 per hour to connect to the Internet at the gaming store,
The first half hour is free, and then it costs $5 per minute to connect to the Internet,
It costs $10 for each 90 minutes spent connected to the Internet at the gaming store,
Any amount of time over an hour and a half would cost $10,
Mark this and retum
Save and Exit
I
Next
Nox
Sub
The question is incomplete:
The function f(t) represents the cost to connect to the Internet at an online gaming store. It is a function of t, the time in minutes spent on the Internet. The function f(t) is attached.
Which statement is true about the Internet connection cost?
It costs $5 per hour to connect to the Internet at the gaming store,
The first half hour is free, and then it costs $5 per minute to connect to the Internet,
It costs $10 for each 90 minutes spent connected to the Internet at the gaming store,
Any amount of time over an hour and a half would cost $10,
Answer:
Any amount of time over an hour and a half would cost $10.
Step-by-step explanation:
-It costs $5 per hour to connect to the Internet at the gaming store. False, if you connect between 31 and 90 minutes it costs $5 but it is not a per hour cost.
-The first half hour is free, and then it costs $5 per minute to connect to the Internet. False, the first half hour is free and it costs $5 when you spent connected more than 30 minutes and less or equal 90 minutes.
-It costs $10 for each 90 minutes spent connected to the Internet at the gaming store. False, according to the function 90 minutes cost $5 and if you spend more than 90 minutes, it costs $10.
-Any amount of time over an hour and a half would cost $10. True. An hour and a half is equal to 90 minutes and according to the function, if you spent more than 90 minutes connected, it costs $10.
According to this, the statement that is true about the Internet connection cost is: Any amount of time over an hour and a half would cost $10.
Answer:
C
Step-by-step explanation:
In circle C, what is mArc F H?
31°
48°
112°
121°
Answer:
B. 48
Step-by-step explanation:
just took the test <3
Answer:
mArc FH = 48
Step-by-step explanation:
Please answer number three I give brainliest thank y’all so much!
Answer:
Step-by-step explanation:
2 and 6
Answer:
2 and 6
Step-by-step explanation:
mode is the most frequent number and 2 and 6 are both shown the most and that is 4 times for both its a tie so it would be both of them
Un equipo de fútbol se conforma de cuatro líneas de jugadores: portero (9%), defensas (37%), medios (27%) y delanteros (27%), donde los goles anotados por el equipo en cada línea son: portero 1 gol, defensas 11 goles, medios 15 goles y delanteros 23. Supongamos que en un partido se gana por un gol. ¿Qué probabilidad hay de que este fuera anotado (a) por la defensa, (b) por los medios y (c) por los delanteros?
Answer:
According to the proble, the total number of goals are 1+11+15+23 = 50: 1 by the goalkeeper, 11 by defense, 15 by midfielders and 23 by strikers.
So, each probability can be found by using standard probabilities
[tex]P=\frac{events}{total outcomes}[/tex]
(a) Defense[tex]P=\frac{11}{50} \approx 0.22[/tex]
Therefore, the defense has a probability of 22% of score that goal.
(b) Midfielders[tex]P=\frac{15}{50} \approx 0.30[/tex]
Therefore, midfielders have a probability of 30% of scoring that goal.
(c) Strikers.[tex]P=\frac{23}{50} \approx 0.46[/tex]
Therefore, strikers have a probability of 46% of scoring that goal.
Para resolver correctamente el ejercicio debemos tener en cuenta el numero de casos favorables sobre el numero total de casos posibles; el numero de casos favorables corresponde a la proporción de goles por cada linea,lo que quiere decir que son el numero de goles por cada linea según los datos que da el ejercicio.
El numero total de casos posibles corresponde al valor total de los goles por todo el equipo (1+11+15+23=50)
Ahora para calcular las probabilidades debemos hacer lo siguiente:
Para hallar la probabilidad de que fuera anotado un gol por la defensa debemos dividir el numero de goles posibles sobre el total de casos posibles;P=[tex]\frac{11}{50}[/tex] =0.22 ×100=22%; ( la probabilidad de que anoten un gol las defensas es del 22%.
Para hallar la probabilidad de que fuera anotado por los medios debemos dividir el numero de goles posibles sobre el total de casos posibles;P=[tex]\frac{15}{50}[/tex]=0.3 ×100=30% (La probabilidad de que anoten un gol los medios es del 30%
Para hallar la probabilidad de que fuera anotado por los delanteros debemos dividir el numero de goles posibles sobre el total de casos posibles;P=[tex]\frac{23}{50}[/tex]=0.46×100=46%; (La probabilidad de que anoten un gol los delanteros es del 46%)
Como conclusión podemos decir que hay una mayor probabilidad de que los delanteros puedan anotar ese único gol que les permita ganar el partido pues el numero de casos posibles es mayor comparado con las otras lineas del equipo.
Si deseas mas información sobre el tema de las probabilidades puedes dirigirte a este enlace;
https://brainly.com/question/18455475
A barbecue restaurant gives 3 napkins for every 5 items ordered. if an order is for 30 items, how many napkins should be given? Use the double number line diagram to solve.
Answer:
18 napkins
Step-by-step explanation:
If the restaurant gives 3 napkins for every 5 items ordered, and there's 30 items... you must divide 30 by 5 which is 6. Then, multiply 6 by 3. Therefore the answer is 18.
[tex]30 \div 5 = 6[/tex]
[tex]6 \times 3 = 18[/tex]
Hope this helped:)
Answer:
18 napkins
Step-by-step explanation:
Explain a reason how to find the answer to 0.3 -0.006
Answer: 0.2994
Step-by-step explanation: I subtracted them and got the answer
Find the perimeter of the stage shaped like a semi-circle (shown below), rounded to the nearest tenth of a foot.
20 ft
82.8 ft.
31.4 ft.
51.4 ft
62.8 ft.
Step-by-step explanation:
Hello there, because you did not attached the photo or the information of the diameter of the circle, so I will solve this type of question under a general form
Let's assume d is the diameter of the circle
=> the perimeter of the circle is: dπ
=> the perimeter of the half arc of a circle
= 1/2 perimeter of the circle
= 1/2dπ
Hence, the perimeter of the stage shaped like a semi-circle:
= the perimeter of the half arc of a circle + the diameter
= 1/2dπ + d
= 3/2dπ
Just substitute d into the above expression, you will find out the answer.
Hope it will find you well.
According to the National Institute on Alcohol Abuse and Alcoholism (NIAAA), and the National Institutes of Health (NIH), 41% of college students nationwide engage in "binge drinking" behavior, having five or more drinks on one occasion during the past two weeks. A college president wonders if the proportion of students enrolled at her college that binge drink is lower than the national proportion. In a commissioned study, 462 students are selected randomly from a list of all students enrolled at the college. Of these, 162 admitted to having engaged in binge drinking.
Required:
Using the most conservative estimate, what sample size would be required to reduce the margin of error to 2 percentage points?
Answer:
The sample size required is 2188.
Step-by-step explanation:
The (1 - α)% confidence interval for the population proportion is:
[tex]CI=\hat p\pm z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
The margin of error for this interval is:
[tex]MOE= z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
The information provided is:
X = 162
n = 462
MOE = 0.02
Assume the confidence level as 95%.
Compute the sample proportion as follows:
[tex]\hat p=\frac{X}{n}=\frac{162}{462}=0.351[/tex]
The z-critical value for 95% confidence interval is:
[tex]z_{0.025}=1.96[/tex]
Compute the sample size required as follows:
[tex]MOE= z_{\alpha/2}\sqrt{\frac{\hat p(1-\hat p)}{n}}[/tex]
[tex]n=[\frac{z_{\alpha/2}\times \sqrt{\hat p(1-\hat p)}}{MOE}]^{2}[/tex]
[tex]=[\frac{1.96\times\sqrt{0.351(1-0.351)}}{0.02}]^{2}\\\\=2187.781596\\\\\approx 2188[/tex]
Thus, the sample size required is 2188.
The table represents the number of milkshakes sold by a restaurant since they were added to the menu.
Time (months) Milkshakes sold
1 259
4 380
7 501
10 622
13 744
Which graph best represents the relationship between time and the number of milkshakes sold?
Answer: the answer to this is A
Answer:A
Step-by-step explanation:
Simple. You'll find the function itself as proportional, and not exponential.