Answer:
true
Step-by-step explanation:
if the ball lands on the team who served the ball's side of the court they are allowed to replay it. :)
The age of A is 4 years more than that of B. Four years ago, the ratio of their ages was 3: 2. Find their present ages.
Answer:
Present age of A = 16 years
Present age of B = 12 years
Step-by-step explanation:
Let the age of B be x years.
Therefore, age of A = (x + 4) years
Four years ago:
Age of A = (x + 4 - 4) = x years
Age of B = (x - 4) years
According to the given information:
[tex] \frac{x}{x - 4} = \frac{3}{2} \\ \\ 2x = 3(x - 4) \\ \\ 2x = 3x - 12 \\ \\ 2x - 3x = - 12 \\ \\ - x = - 12 \\ \\ x = 12 \\ \\ x + 4 = 12 + 4 = 16 \\ \\ present \: age \: of \: a = 16 \: yeras \\ \\ present \: age \: of \: b = 12 \: years \\ [/tex]
Someone bought a car for $5,000. During the first year, its value depreciated by 20%. What was the value of the car after one year?
Answer:
The value of the car after one year is $1000
Step-by-step explanation:
$5000 * 0.2 = 1000.
You can say the 20% = 0.2.
So it is depreciated by 0.2.
You multiply the number (5000) by 0.2
5000 * 0.2 = 1000.
Answer:
The answer is 1,000
Step-by-step explanation:
because 20% of 5000 is the answer which is 1,000
4. What is 44% of 35?
Answer:
15.4
Step-by-step explanation:
35 x 0.44 = 15.4
Use the graph of f(x) provided to answer the question. What is f(f(-4)?
Answer:
f(f(-4) = -2
Step-by-step explanation:
f(f(-4))
First find the value of f(-4)
f(-4) = 2
Now find f(2)
f(2) = -2
Eight less than a number is negative eighteen. What is the number?
Answer:
-10
Step-by-step explanation:
n - 8 = -18
n = -10
Negative 10
Or -10
Eight more than -18 is -10
If x = -6, which inequality is true?
A-5 - 3x > 10
B-3-5x < -14
C 1-2x > 13
D 2-X<-3
Answer:
A. -5 - 3x >10
Step-by-step explanation:
-5 - 3(-6) >10
-5 + 18 >10
13 >10
Suppose you are working with a data set that is normally distributed, with a mean of 350 and a standard deviation of 48. Determine the value of x from the following information.
a. 70% of the values are greater than x.
b. x is less than 10% of the values.
c. 24% of the values are less than x.
d. x is greater than 60% of the values.
Answer:
324.848
288.464
316.112
337.856
Step-by-step explanation:
Given that :
Mean (m) = 350
Standard deviation (σ) = 48
Determine the value of x for the following :
Using the z probability calculator :
a.) 70% of the values are greater than x.
1 - 0.7 = 0.3
P(x < 30%) = P(x < 0.3) = - 0.524 = z
Z = (x - m) / σ
x = (z * σ) + m
X = (- 0.524 * 48) + 350 = 324.848
b.) x is less than 10% of the values.
P(x < 0.1) = - 1.282 = z
X = (- 1.282 * 48) + 350 = 288.464
C.) 24% of the values are less than x
P(x < 0.24) = - 0.706 = z
X = (- 0.706 * 48) + 350 = 316.112
D.) x is greater than 60% of the values
P(x > 0.6) = -0.253 = z
X = (- 0.253 * 48) + 350 = 337.856
Barkery’s Bakery sold 20 dog cakes during Week 1 of operation, 27 dog cakes during Week 2, and 34 dog cakes
during Week 3.
a. If this pattern continues, represent the first five
terms of the sequence using a table of values.
Answer:
Week 1 - 20
Week 2 - 27
Week 3- 34
Week 4 - 41
Week 5 - 48
Etc, etc,...
Step-by-step explanation:
The values increase by 7 each week.
Is this a function or not a function? (Picture)
Answer:
a function
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
The function has more than one point on one line of Y.
How many units is -9 from zero on the number line?
Select one:
A. 9
B. - 9
C. 0
D. 18
Answer:
A
it is asking for its absolute value
Step-by-step explanation:
In 1980, the number of high school dropouts in a country was 5217 thousand. By 2008, this number had decreased to 3120 thousand. Find and interpret the average rate of change
per year in the number of high school dropouts.
Answer:
74893 students per year
Step-by-step explanation:
The Average rate of change is calculated as
= Difference in number of students / Difference in years
= 3120 thousand - 5217 thousands/ 2008 - 1980
= (3120000 - 5217000)/(2008 - 1980)
= -2097000/28
= -74892.857143 per year
Therefore, the average rate of change
per year in the number of high school dropouts is approximately 74893 students per year
The formula I = PRT where I = Interest, P = Principal, R = rate, and T = Time is used to calculate the amount of simple interest earned, solve this formula for T
I = PRT
Divide both sides by PR
I/(PR) = T
Toby works at an amusement park. He loads 10 new passengers onto the roller coaster every
3/4
of a minute. At what rate does Toby load passengers?
Pleaseeee
Answer:
13 1/3
Step-by-step explanation:
im sure this is right btw
what is the measure of each angle
Answer:
60 degrees
Step-by-step explanation:
60 degrees because all sides are equal and 180/3 is 60.
Please help!!!
thanks
Answer:
11. 92- corresponding angles theorem
12. 92- vertical angles theorem
13. 88- ???
14. 106- same side interior angles theorem
15. 106- supplementary angles theorem (not sure about the reasoning)
16. 106- supplementary angles theorem (not sure about the reasoning)
please help it's due in a couple of min
Answer:
i hope this helps but the slopes are y = 4/3x + 12 and y = 6/5
Find x. Give reasons to justify your solution. b Lines AB and CD are straight lines.
Answer:
x is 28
Step-by-step explanation:
When two lines intersected in a point, then they formed two pairs of vertically opposite angles. The vertically opposite angles are equal in measures
Let us solve our question
∵ AB and CD are straight lines intersected at O
∴ ∠AOC and ∠DOB are vertically opposite angles
∴ ∠AOD and ∠COB are vertically opposite angles
→ The vertically opposite angles are equal in measures
∴ m∠AOC = m∠DOB
∴ m∠COB = m∠AOD
→ ∠ COB is formed from ∠COE, ∠EOF, and ∠FOB
∵ m∠COB = m∠COE + m∠EOF + m∠FOB
∵ m∠COE = 3x, m∠EOF = x, m∠FOB = x + 12
∴ m∠COB = 3x + x + x + 12
→ Add the like terms
∴ m∠COB = 5x + 12
∵ m∠AOD = 152°
∵ m∠COB = m∠AOD
∴ 5x + 12 = 152
→ Subtract 12 from both sides
∴ 5x + 12 - 12 = 152 - 12
∴ 5x = 140
→ Divide both sides by 5
∴ [tex]\frac{5x}{5}=\frac{140}{5}[/tex]
∴ x = 28
→ To justify the solution substitute x by 28 in m∠COB the answer must
be 152°
∵ m∠COB = 5x + 12
∵ x = 28
∴ m∠COB = 5(28) + 12
∴ m∠COB = 140 + 12
∴ m∠COB = 152°
∴ The value of x is correct
Solve −3x=2x2−4
using the Quadratic Formula.
Answer:
-3x= 2×2-4
Step-by-step explanation:
-3x= 4-4
-3x= 0
divide both sides by the co-efficient of x
-3x/-3= 0÷-3
x= 0/-3x = 0
The solution of the quadratic equation 2x² + 3x − 4 = 0 will be 2.35 and negative 0.85.
What are the roots of the equation?Let the equation be ax² + bx + c = 0. Then the roots of the equation will be given as,
[tex]\rm x = \dfrac{-b \pm \sqrt{b^2 - 4 a c }}{2a}[/tex]
The equation is given below.
−3x = 2x² − 4
Simplify the equation, then we have
2x² − 4 = −3x
2x² + 3x − 4 = 0
Then the roots of the equation are given as,
x = [3 ± √(3² - 4 · 2 · (-4))] / (2 · 2)
x = (3 ± 6.403) / 4
x = 2.35, -0.85
The solution of the quadratic equation 2x² + 3x − 4 = 0 will be 2.35 and negative 0.85.
More about the roots of the equation link is given below.
https://brainly.com/question/12029673
#SPJ2
3/4of 16/27/23/14+12/18 using bodmas rule
Solve −3−4x≤21.
A
x≤−6
B
x≥6
C
x≥−6
D
x≤4
Answer: A
Step-by-step explanation:subtract then multipy the see which one is least to greaest
1 point) The joint probability mass function of XX and YY is given by p(1,1)=0.1p(2,1)=0.1p(3,1)=0.05p(1,2)=0.05p(2,2)=0.3p(3,2)=0.1p(1,3)=0.1p(2,3)=0.05p(3,3)=0.15 p(1,1)=0.1p(1,2)=0.05p(1,3)=0.1p(2,1)=0.1p(2,2)=0.3p(2,3)=0.05p(3,1)=0.05p(3,2)=0.1p(3,3)=0.15 (a) Compute the conditional mass function of YY given X=3X=3: P(Y=1|X=3)=P(Y=1|X=3)= P(Y=2|X=3)=P(Y=2|X=3)= P(Y=3|X=3)=P(Y=3|X=3)= (b) Are XX and YY independent? (enter YES or NO) (c) Compute the following probabilities: P(X+Y>2)=P(X+Y>2)= P(XY=3)=P(XY=3)= P(XY>1)=P(XY>1)=
Answer:
Step-by-step explanation:
The given information shows that X and Y are two variables with joint probability distribution as follows:
X/Y 1 2 3 Total
1 0.1 0.05 0.1 0.25
2 0.1 0.3 0.05 0.45
3 0.05 0.1 0.15 0.3
Total 0.25 0.45 0.3 1.00
Thus, the required probability is:
[tex]P(Y = 1|X=3) = \dfrac{P(Y=1,X=3)}{P(X=3)}[/tex]
[tex]P(Y = 1|X=3) = \dfrac{0.05}{0.1}[/tex]
[tex]P(Y = 1|X=3) =0.5[/tex]
The calculated probability value of Y =1, given that X = 3 is 0.5
[tex]P(Y = 2|X=3) = \dfrac{P(Y=2,X=3)}{P(X=3)}[/tex]
[tex]P(Y = 2|X=3) = \dfrac{0.1}{0.1}[/tex]
[tex]P(Y = 2|X=3) = 1.00[/tex]
The calculated probability value of Y =2, given that X = 3 is 1.00
[tex]P(Y = 3|X=3) = \dfrac{P(Y=3,X=3)}{P(X=3)}[/tex]
[tex]P(Y = 3|X=3) = \dfrac{0.15}{0.1}[/tex]
[tex]P(Y = 3|X=3) =1.5[/tex]
The calculated probability value of Y =3, given that X = 3 is 1.50
B.
From the joint probability distribution table, we can see that the probability value of the intersection X = 3 and Y = 3 is 1.50
i.e
P(X =3, Y =3) = 1.5
However;
the marginal probability of X = 0.3
the marginal probability of Y = 0.3
P(X =3)(Y=3) = 0.3 × 0.3 = 0.09
∴
≠ P(X =3)(Y=3)
Thus;
NO, the random variables X and Y are not independent.
C.
P(X+Y > 2) = P(X =2, Y = 1) + P( Y =2, X=1) + P(Y = 3, X= 1) + P( Y =2, X=2) +
P(Y =3, X=2) + P(Y =1, X =3) + P( Y =2, X =2) +P(Y =3, X =3)
P(X+Y > 2) = 0.1 + 0.05 + 0.1 + 0.3 + 0.05 + 0.05 + 0.1 + 0.15
P(X+Y > 2) = 0.9
P(XY =3) = P(X =2, Y =1 ) + P( Y =1 , X = 2)
P(XY =3) = 0.10 + 0.05
P(XY =3) = 0.15
P(XY > 1) = 0.1 + 0.05 + 0.1 + 0.1 + 0.3 + 0.05 + 0.05 + 0.1 + 0.15
P(XY > 1) = 1.00
x^2-10x+27 in the form (x-a)^2+B
Answer:
(x-5)^2+2
Step-by-step explanation:
To convert between standard and vertex form, you have to complete the square (which, as a reminder, (a+b)^2 = a^2+2ab+b^2).
Since a^2 is x^2, and 2ab is -10x, then b must be -5, so b^2 is 25. Therefore, we add and subtract 25 from the expression:
(x-10x+25)+27-25
Then, we can make (x-10x+25) to (x-5)^2:
(x-5)^2+2
What is 5x + 4y = 10
Answer:
x=2 - 4y/5
y = 5/2 − 5x/4
Step-by-step explanation:
I don't know what you are asking for specifically, but here is both!!
Let x be a discrete random variable that possesses a binomial distribution with n=5 and p=0.87. What are the mean and standard deviation of this probability distribution? Round your answers to three decimal places, if required.
Answer:
[tex]Mean = 4.35[/tex]
[tex]SD = 0.5655[/tex]
Step-by-step explanation:
Given
[tex]n = 5[/tex]
[tex]p = 0.87[/tex]
Solving (a): Mean
[tex]Mean = np[/tex]
[tex]Mean = 5 * 0.87[/tex]
[tex]Mean = 4.35[/tex]
Solving (b): Standard Deviation (SD)
[tex]SD = np(1 - p)[/tex]
[tex]SD = 5 * 0.87(1 - 0.87)[/tex]
[tex]SD = 5 * 0.87 * 0.13[/tex]
[tex]SD = 0.5655[/tex]
Andrew owns a food truck that sells tacos and burritos. He only has enough ingredients to make 113 tacos or burritos.Write an inequality that could represent the possible values for the number of tacos sold, tt, and the number of burritos sold, bb, that would satisfy the constraint.
Answer:
heres the actual answer.
Step-by-step explanation:
How many pounds are in 80 kilograms? Round your answer to the nearest whole number. Note: There are approximately 2.2lbs in a kg.
Answer:
176.37 orrrr 176
Step-by-step explanation:
Answer:
176 pounds
Step-by-step explanation:
Whats 28,456 +92 / 2 * 8 + 3?
Answer:
37485947
Step-by-step explanation:
Answer:
I think that the answer is 28827
.............................
Suppose that the scores on a reading ability test are normally distributed with a mean of and a standard deviation of . What proportion of individuals score more than points on this test? Round your answer to at least four decimal places.
Answer:
The proportion of individuals score at most 74 points on this test is 70%.
Step-by-step explanation:
The complete question is:
Suppose that the scores on a reading ability test are normally distributed with a mean of 70 and a standard deviation of 8. What proportion of individuals score at most 74 points on this test? Round your answer to at least four decimal places.
Solution:
Let X represent the scores on a reading ability test.
It is provided that [tex]X\sim N(70,8^{2})[/tex].
Compute the probability that an individuals score is at most 74 points on this test as follows:
[tex]P(X\leq 74)=P(\frac{X-\mu}{\sigma}\leq \frac{74-70}{8})[/tex]
[tex]=P(Z<0.50)\\=0.69146\\\approx 0.70[/tex]
Thus, the proportion of individuals score at most 74 points on this test is 70%.
Please help!!
What is the range of y = sin 1x?
O f-1, 1]
[O, TI]
ol-
(_00,00)
Answer:
C
Step-by-step explanation:
C is what I get when I put it into desmos. someone else may be able to explain why
The soccer field at Mario’s school has an area of 6000 square meters how can Mario show the area has a whole number multiplied by a power of 10
Answer:
[tex]Area = 6 * 10^3\ m^2[/tex]
Step-by-step explanation:
Given
[tex]Area = 6000m^2[/tex]
Required
Write as a number by power of 10
[tex]Area = 6000m^2[/tex]
Split 6000 as 6 * 1000
[tex]Area = 6 * 1000m^2[/tex]
Express 1000 as 10^3 --- Law of indices
[tex]Area = 6 * 10^3\ m^2[/tex]
