Answer:
There are 604,800 possible permutations.
Step-by-step explanation:
The order in which the digits are chosen is important, which means that the permutations formula is used to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
[tex]P_{(n,x)} = \frac{n!}{(n-x)!}[/tex]
In this question:
7 digits from a set of 10(10 digits to 0-9). So
[tex]P_{(10,7)} = \frac{10!}{(10-7)!} = 604800[/tex]
There are 604,800 possible permutations.
Answer:
10!/3!
Step-by-step explanation:
i just took a test and got it right
Because repetition is not allowed, and there are 10 initial options for the 7 decisions that need to be made, we use the formula
n!/(n-r)! = 10!/(10-7)! = 10!/3!
URGENT!! PLS HELP 16 students are competing an art contest in how many different ways can students finish first second and third
A least-squares solution of is a vector such that for all in . Choose the correct answer below. A. The statement is false because a least-squares solution of is a vector such that for all in . B. The statement is true because the general least-squares problem attempts to find an that minimizes . C. The statement is true because the general least-squares problem attempts to find an that maximizes . D. The statement is false because a least-squares solution of is a vector such that for all in .
Answer:
A least-squares solution of is a vector such that for all in .
C. The statement is true because the general least-squares problem attempts to find an that maximizes .
Step-by-step explanation:
The above statement is actually the one that validates the least-square solution statement.
Answer:
C. The statement is true because the general least-squares problem attempts to find an that maximizes.
Step-by-step explanation:
Hope this helps
miguel works at a video game store if he makes 185$ a day how much money will he maje in 30 days
Answer:
5550
Step-by-step explanation:
if one day is 185 and he works for 30 days you just have to multiply them
Solve the equation x^2 - 16x+ 54 = 0 by completing the square.
Fill in the values of a and b to complete the solutions.
Answer:
[tex]x = 8\±\sqrt{10[/tex]
[tex]a =8[/tex] [tex]b = 10[/tex]
Step-by-step explanation:
Given
[tex]x^2 - 16x + 54 = 0[/tex]
Required
Complete the square
[tex]x^2 - 16x + 54 = 0[/tex]
Subtract 54 from both sides
[tex]x^2 - 16x + 54 -54= 0-54[/tex]
[tex]x^2 - 16x = -54[/tex]
--------------------------------------------------
Take half of - 16
[tex](-16/2) = -8[/tex]
Square the result
[tex](-8)^2 = 64[/tex]
Add the squared result to both sides of the equation
--------------------------------------------------
So, we have:
[tex]x^2 - 16x +64= -54+64[/tex]
[tex]x^2 - 16x +64= 10[/tex]
Expand
[tex]x^2 - 8x - 8x + 64 = 10[/tex]
Factorize
[tex]x(x - 8) - 8(x - 8) = 10[/tex]
Factor out x - 8
[tex](x - 8)(x - 8) = 10[/tex]
[tex](x - 8)^2 = 10[/tex]
Take square roots
[tex]x - 8 = \±\sqrt{10[/tex]
Solve for x
[tex]x = 8\±\sqrt{10[/tex]
We have:
[tex]x = a - \sqrt{b}[/tex]
[tex]x = a + \sqrt{b}[/tex]
By comparing the above with: [tex]x = 8\±\sqrt{10[/tex]
Answer:
Step-by-step explanation:
(x+6)(x-4)=
(2x+5)(x-3)=
(3x+2)(2x+5)=
(2x-1)(x-5)=
please help this is multiplying polynomial expressions
Answer
1. x²+2x-24
2. 2x²-1x-15
3. 6x²+19x+10
4. 2x²-11x+5
Answer:
[tex]x^{2} +2x-24[/tex]
[tex]2x^{2}-x-15[/tex]
[tex]6x^{2}+19x+10[/tex]
[tex]2x^{2}-11x+5[/tex]
Step-by-step explanation:
Which equation represents the line shown
on the graph?
x = y + 2
y = x + 2
y = 2x
x = 2y
Answer:
weres the graph?
Step-by-step explanation:
What”s the correct answer??
Answer:
t = 1.25j
Step-by-step explanation:
t = 1.25j
Examples:
4 x 1.25 = 5
7 x 1.25 = 8.75
10 x 1.25 = 12.5
Hope this helps!
Answer:
t = 1.25j
Step-by-step explanation:
Plz answer this I really need this
Answer:
D prefer romance over poetry 2:1
Step-by-step explanation:
Poetry is 20%
Romance is 40%
[tex]\frac{40}{20} =\frac{2}{1}[/tex]
Answer: D. Students prefer romance to poetry by a ratio of 2:1
Explanation:
40% of students prefer romance
20% of student prefer poetry
40:20 = 20:10 = 2:1
help i keep on getting answers that are not what I am looking for
HELP!
Drag each me to the correct location on the table
Match each sentence to the term it's describing
The policy offers coverage
for a cost of $178 per month
The policy will pay for up to
$100,000 of damage to
another person's property.
The policyholder must pay
the first $1,000 of repair
expenses before insurance
will pay for anything,
The policyholder must
pay $500 semiannually
to the insurance provider
The policy will pay only
$100 per incident for a
tow truck
Limit
Deductible
Premium
M
Answer:
LIMIT
The policy will pay for up to
$100,000 of damage to
another person's property.
The policy will pay only
$100 per incident for a
tow truck
DEDUCTIBLE
The policyholder must pay
the first $1,000 of repair
expenses before insurance
will pay for anything,
PREMIUM
The policy offers coverage
for a cost of $178 per month
The policyholder must
pay $500 semiannually
to the insurance provider
Step-by-step explanation:
LIMIT is the maximum amount an insurer will pay toward a covered claim
DEDUCTIBLE is the amount paid out of pocket toward a covered claim
PREMIUM is the amount paid regularly to keep the policy in force.
f(x)=4x+2
What is the value of f(3) ?
Step-by-step explanation:
f(X)=4x+2
f(3)=4×3+2
f(3)=14
If x + 9 = 5, then x =
If x +9=-5, then x =
Answer:
A= 4
B=-13
Step-by-step explanation:
50 POINTS. A ball is thrown into the air from a height of 4 feet at time t = 0. The function that models this situation is h(t)= -16t^2 + 64t + 4, where t is measured in seconds and h is the height in feet. What domain makes sense for this function
Answer:
The domain that makes sense for this function is all values greater than or equal to 0.
Step-by-step explanation:
A ball is thrown into the air from a height of 4 feet at time t = 0. It is modeled by the function:
[tex]h(t)=-16t^2+64t+4[/tex]
The domain of the function is time t. The range of the function is the ball's height in the air h.
Since time is our domain, we must restrict our domain to values equal to or greater than 0 since time cannot be negative.
Therefore, the domain that makes sense for this function is all values greater than or equal to 0.
In interval notation, this is:
[tex][0, \infty)[/tex]
And as an inequality:
[tex]t\geq 0[/tex]
Trick Question
How many sides does a circle have??
Answer:Its 0
Step-by-step explanation:
It just is ok
Write the equation of a circle whose center is (-2, 0) and has the point (-5,-6) on its circumference.
Answer:
(x+2)^2 + y = √45 ^2
Step-by-step explanation:
this should be right
Answer:
[tex](x + 2)^{2} + y^{2} = 45[/tex]
Step-by-step explanation:
The radius (r) of the circle is the distance between (-2, 0) and (-5, -6)
r = [tex]\sqrt{(-2 + 5)^{2} + (0 + 6)^{2} } = \sqrt{3^{2} + 6^{2} } = \sqrt{9 + 36} = \sqrt{45}[/tex]
[tex]r^{2}[/tex] = 45
[tex](x + 2)^{2} + y^{2} = 45[/tex] is the equation of the circle
please what is the interquartile range ?
Answer:
3.
Step-by-step explanation:
15 - 12 = 3.
The ends of the box are the lower and upper quartiles.
The difference upper - lower = the interquartile range.
If rectangle ABCD is dilated by a scale factor of 3 with a center of dilation at vertex D. what is the perimeter of
A'B'CD?
A)
30 units
B)
60 units
90 units
D)
120 units
A railroad tunnel is shaped like a semiellipse, as shown below.
A semiellipse is shown on the coordinate plane with vertices on the x axis and one point of intersection with the positive y axis.
The height of the tunnel at the center is 35 ft, and the vertical clearance must be 21 ft at a point 8 ft from the center. Find an equation for the ellipse.
Write an algebraic expression for the situation.
28 divided by a number g
An algebraic expression for the situation is _
Answer:
28/g
Step-by-step explanation:
28/g
Answer:
28/g
Step-by-step explanation:
easy interpretation
28÷g
A popular internet subscription service for movies, TV series, and documentaries conducts a survey in which it randomly samples 1,000 of its customers. The survey asks the customers which way they use their streaming service the most: (1) watching movies, (2) watching TV series, or (3) watching documentaries. They also ask the level of satisfaction with the service they most often use (on a scale of 0 to 10 with 0 very poor and 10 excellent). Is there statistical evidence for this internet subscription service that the mean satisfaction differs between customers who watch movies, TV series, or documentaries the most?
(a) State the hypothesis for conducting ANOVA. What were the assumptions on which the ANOVA was based?
(b) What F test statistic is needed to reject the null hypothesis at the signficance level 0.05?
(c) Suppose the test statistic is observed at F 0.46 and the p-value equals 0.63. State your conclusion in the context of this problem using the significance level .01.
solve for x:
5/7 = 4x/83
Step-by-step explanation:
[tex] \to \dfrac{5}{7} = \dfrac{4x}{83} [/tex]
By cross multiplication,
→ 83(5) = 4x(7)
→ 415 = 28x
→ 415/28 = xIn decimal : 14.8214286PLS
HELP
DUE RNNN
WILL GIVE BRAINLIST
Answer:
Hello! answer: 21
Step-by-step explanation:
25 × 3 = 75
7 × 3 = 21 so n = 21 HOPE THAT HELPS!
Answer:
Answer: 21
Step-by-step explanation:
25 × 3 = 75
7 × 3 = 21 so = 21
look at pic 10 pts will mark brainilest
C: ( 9 x 18) + (6 x 2)
D: (20 x 6) + (18 x 3)
E: (20 x 9) - (3 x 2)
Answer:
Step-by-step explanation:
C and E
i would like the work but i don’t need it
Answer:
3
Step-by-step explanation:
the frequency is the number of students. Add the frequency for 30-39 and 40-49, which is 2+1 =3
Three bags of potatoes cost $4. How many bags can you buy for $16?
A.10
B.21
C.12
D.11
A store buys a jacket for $20.00 and sells it to customers for 80% more than that. What is the selling price of the jacket
Find the volume of a cylinder prism with radius of 3 and height of 11
Answer:
310.86
Step-by-step explanation:
so V=Bh
and B=pi *r^2
so that means 3.14*9 (since 3^2 is 9)
3.14*9=28.26
then 28.26*11= 310.86
According to a study in a medical journal, 202 of a sample of 5,990 middle-aged men had developed diabetes. It also found that men who were very active (burning about 3,500 calories daily) were a fourth as likely to develop diabetes compared with men who were sedentary. Assume that one-fifth of all middle-aged men are very active, and the rest are classified as sedentary. What is the probability that a middle-aged man with diabetes is very active
Answer:
0.0588 = 5.88% probability that a middle-aged man with diabetes is very active
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Has diabetes.
Event B: Is very active.
Probability of having diabetes:
To find this probability, we take in consideration that:
It also found that men who were very active (burning about 3,500 calories daily) were a fourth as likely to develop diabetes compared with men who were sedentary. Assume that one-fifth of all middle-aged men are very active, and the rest are classified as sedentary.
So the probability of developing diabetes is:
x of 4/5 = x of 0.8(not active)
x/4 = 0.25x of 1/5 = 0.2(very active). So
[tex]P(A) = 0.8x + 0.25*0.2x = 0.85x[/tex]
Probability of developing diabetes while being very active:
0.25x of 0.2. So
[tex]P(A \cap B) = 0.25x*0.2 = 0.05x[/tex]
What is the probability that a middle-aged man with diabetes is very active?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.05x}{0.85x} = \frac{0.05}{0.85} = 0.0588[/tex]
0.0588 = 5.88% probability that a middle-aged man with diabetes is very active
X - 12 = -4
A. x= -8
B. X = 8
C. x = -16
D. x = 16
B
Step-by-step explanation:
[tex]x - 12 = - 4[/tex]
[tex] put \: like \: terms \: together\\ x = - 4 + 12 \\ solve\\ x = 8[/tex]
A recipe calls for 21 scoops of sugar. each scoop is 2.5 oz. how many scoops do you need if each scoop holds 3.5 oz of sugar ?
Answer:
we need 6 scoops of sugar