A polynomial with a degree of 3
Example: x^{3} +7
Answer:
[tex]x^{3}-5x^{2}+2x+8[/tex]
GIVING BRANLIEST ! NEED HELP! PLEASE
The probability that a birth will result in twins is 0.017. Assuming independence (perhaps not a valid assumption), what is the probability that out of 120 births in a hospital, there will be exactly 4 sets of twins?
The probability that there will be exactly 4 sets of twins is?
Answer:
0.0939 = 9.39% probability that there will be exactly 4 sets of twins.
Step-by-step explanation:
For each birth, there is only two possible outcomes. Either it results in twins, or it does not. The probability of a birth resulting in twins is independent of any other birth. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The probability that a birth will result in twins is 0.017.
This means that [tex]p = 0.017[/tex]
120 births:
This means that [tex]n = 120[/tex]
The probability that there will be exactly 4 sets of twins is?
This is P(X = 4).
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 4) = C_{120,4}.(0.017)^{4}.(0.983)^{116} = 0.0939[/tex]
0.0939 = 9.39% probability that there will be exactly 4 sets of twins.
Find Mn to the nearest tenth
Answer:
B. 23.8
Step-by-step explanation:
Use the formula c = \sqrt a^2+b^2﹣2abcosy (squareroot the whole thing)
c = length of side you are finding
a = length of side a
b = length of side b
y =angle opposite c
Write ✓ –28 in simplest radical form.
Please help triangle similarity
9514 1404 393
Answer:
(C) SAS
Step-by-step explanation:
The obtuse angles in each triangle are "corresponding" with respect to the segments marked parallel and the horizontal transversal.
Those angles are between pairs of proportional sides:
60/42 = 40/28 = 10/7
so, the applicable theorem is SAS. The triangles can be proven similar using the SAS theorem.
Find X. Please show steps, thank you.
Answer:
C=10
Step-by-step explanation:
(Will give branliest if correct)
Mr. Potter is reviewing his 2018 property taxes Use the tax form to complete the statements below.
All I need is the total property tax I don't know how to solve for it.
So my question is how do I find total property tax with the total value of property and total percent rate it just the answer.
So if the total value is 300000
and the percent rate is 1.2 what is the total property tax.
(
Answer:
I think its 3,600... plz let me know if I'm wrong
Step-by-step explanation:
300,000 x 0.012 or %1.2 (they're the same thing) = 3,600
People visiting video rental stores often rent more than one DVD at a time. The probability distribution for DVD rentals per customer at Video To Go is given in the following table. There is a five-video limit per customer at this store, so nobody ever rents more than five DVDs.
x P(x)
0 0.05
1 0.49
2 0.25
3
4 0.08
5 0.03
Describe the random variable X in words.
a. X is the number of DVDs a customer rents.
b. X is the number of times a single customer comes into the store.
c. X is the number of DVDs a customer owns.
d. X is the total number of DVDs rented at the store.
e. X is the number of customers that come into the store
Answer:
a. X is the number of DVDs a customer rents.
Step-by-step explanation:
The distribution states that:
0.05 = 5% probability a customer rents no DVDs
0.49 = 49% probability a customer rents 1 DVD
...
0.03 = 3% probability a customer rents 5 DVDs.
Thus, the random variable X is the number of DVDs a customer rents, and the correct answer is given by option A.
If 3a + 1 - a = 9 then what does 5a + 2 = ?
Answer:
[tex]3a + 1 - a = 9 \\ 2a = 8 \\ a = 4 \\ 5a + 2 = \\ 5(4) + 2 = 22[/tex]
first find the value of a, which is 4
then substitute a with 4
Express the product of (1/2x + 1/5) and (5/3x+1/3) as a trinomial in simplest form.
Answer:
5/6x^2 + 1/2x + 1/15
Step-by-step explanation:
(1/2x + 1/5)(5/3x + 1/3)
5/6x^2 + 1/6x + 1/3x + 1/15
5/6x^2 + 1/6x + 2/6x + 1/15
5/6x^2 + 3/6x + 1/15
5/6x^2 + 1/2x + 1/15
what's the area? i need it by 7:00 AM EST time
Answer:
approx 506.52
Step-by-step explanation:
Rectangle: 21 x 12 =252
Half circle = 1/2 (3.14)(6^2) = 56.52
Trapezoid: 6 (33 +33) = 198
add all of them together
Answer:
479.52 cm²Step-by-step explanation:
Semi-circle:
A = 1/2πr² = 1/2*3.14*6² = 56.52 cm²Trapezoid:
A = 1/2(a + b)h = 1/2 [(12 + 12) + (12 + 21)] (6) = 171 cm²Rectangle:
A = ab = 12*21 = 252 cm²Area of the shape:
56.52 + 171 + 252 = 479.52 cm²Michelle brought an apple cut in 4 for $0.10 per piece. How much should she pay for 3 dozen pieces
Answer:
$0.10 per piece means $0.40 for 1 apple there are 12 in a dozen so multiply it by 12 which would be $4.80 for a dozen multiply again by 3
$14.40 for 3 dozen I'm pretty sure
Avery works approximately 2080 hours per year if she earns between $7.50 and $8.25 per hour which is the closest to her annual salary
Answer:
16,000$ is the answer
hope it helped
The difference between six and a number is two
Answer:
4.
Step-by-step explanation:
the difference means -.
between a number means use a variable (x) to substitute. so now you have the difference between x and 6 is to. is just means equals so you would set it up like this 6-x=2. you can make this easier by just asking yourself. what number plus 2 equals six? the answer would be 4. 4+2=6-->6-4=2.
Peter received a $40 gift card to Starbucks for his birthday. He
spends the same amount every time he goes and has gone 5
times so far. On one of his trips he also got a $3 drink for his
brother. What is the most he could have spent per trip? Choose
the inequality that describes his situation. Let xramount per trip
Answer:
xr ≤ 7
Step-by-step explanation:
He must spend less than or equal to 7$ to account for 5 trips and 3 extra dollars for 1 trip.
Please answer this question!!!!!
5. What is the mode in this sequence of numbers? 5, 10, 16, 3, 8, 11, 7, 10,2 I a. 8 b. 5 c. 11 d. 10
Answer:
Step-by-step explanation:
c, because 3+8 is 11 so c would be correct
i will give Brainiest if you are right
Answer:
-4
Step-by-step explanation:
please mark brainliest
Answer:
-4
Step-by-step explanation:
So we can start with -2 + 3, (negatives mean -, and positives mean +)
= 1
Then, 1 - 4
= -3
-3 - 1
= -4
hope this helps :)
There are 7 women and 9 men with a chance to be on a game show. The producer of the show is going to choose 7 of these people at random to be contestants. What is the probability that the producer chooses 4 women and 3 men? Round your answer to three decimal places.
Answer:
147/572
Step-by-step explanation:
The number of combinations of n things chosen r at a time is
[tex]\binom{n}{r}=\frac{n!}{r!(n-r)!}[/tex] (Some writers use the symbol [tex]_nC_r[/tex])
Choose 4 women from the 7:
[tex]\binom{7}{4}=\frac{7!}{4!(7-4)!}=35[/tex] ways
Choose 3 men from 9:
[tex]\binom{9}{3}=\frac{9!}{3!(9-3)!}=84[/tex] ways
There are 35 x 84 = 2940 ways to choose both, out of
[tex]\binom{16}{7}=\frac{16!}{7!(16-7)!}=11440[/tex] ways to choose any 7 people from the group of 16.
Probability:
[tex]\frac{2940}{11440}=\frac{147}{572}[/tex]
P.S. As an example of how to calculate combinations, here's the calculation (by hand, a calculator is easier!) of [tex]\binom{9}{3}[/tex].
[tex]\binom{9}{3}=\frac{9!}{3!(9-3)!}=\frac{9!}{3!6!}[/tex]
When you write out the factorials, you can do a bunch of cancellation between the numerator and denominator.
[tex]\frac{9\cdot8\cdot7\cdot\cancel{6\cdot5\cdot4\cdot3\cdot2\cdot1}}{(3\cdot2\cdot1)(\cancel{6\cdot5\cdot4\cdot3\cdot2\cdot1)}}=\frac{9\cdot8\cdot7}{3\cdot2\cdot1}=84[/tex]
Twice the sum of a number
and -8.
Answer:
2x-8 is there more to the question?
Based on the family the graph below belongs to, which equation could represent the graph?
Answer:
its A
Step-by-step explanation:
just took the test
Answer:
The first graph on edge 2021
The first 4 terms of a 10-term geometric series are listed below. Which expression represents the sum
of the series?
16
25
8 + 4 + 10 +...+ 210
5
Given:
First 10 term of a geometric series are:
[tex]\dfrac{16}{25}+\dfrac{8}{5}+4+10+...+a_10[/tex]
To find:
The expression that represents the sum of the series.
Solution:
The first term of the given geometric series is:
[tex]a_1=\dfrac{16}{25}[/tex]
The common ratio of the given geometric series is:
[tex]r=\dfrac{a_2}{a_1}[/tex]
[tex]r=\dfrac{\dfrac{8}{5}}{\dfrac{16}{25}}[/tex]
[tex]r=\dfrac{8}{5}\times \dfrac{25}{16}[/tex]
[tex]r=\dfrac{5}{2}[/tex]
The sum of first n terms of a geometric sequence is:
[tex]S_n=\dfrac{a_1(1-r^n}{1-r}[/tex]
Where r is the common ratio.
Putting [tex]a_1=\dfrac{16}{25},r=\dfrac{5}{2},n=10[/tex] in the above formula, we get
[tex]S_{10}=\dfrac{16}{25}\left(\dfrac{(1-(\dfrac{5}{2})^{10}}{1-\dfrac{5}{2}}\right)[/tex]
Therefore, the correct option is C, i.e., [tex]\dfrac{16}{25}\left(\dfrac{(1-(\dfrac{5}{2})^{10}}{1-\dfrac{5}{2}}\right)[/tex].
Answer:
the answer is option c or 16/25 ( 1 - ( 5/2 )^10 / 1 - 5/2)
Step-by-step explanation:
Find the area of the polygon.
Answer: 174
Step-by-step explanation:
Split into two rectangles, first one has area of 54, other has area of 120. Add
find the distance round to the nearest tenth
Answer:
65 units
Step-by-step explanation:
A machine at a graphic design studio produces paper labels for juice bottles. This graph represents the number of labels produced over time.
Zoom in if you cannot see!
Don’t answer if you don’t know the answer. Whoever gets the correct answer will get Brainliest! :)
Answer:
Option B, would be the correct answer: 75 labels per minute
Step-by-step explanation:
The number of labels produced per minute would be a constant value which would be the slope of this graph represented above.
Slope = [tex]\frac{rise}{run}[/tex]
Slope = [tex]\frac{150}{2}[/tex]
Slope = 75
Hope this helps!
Which event is LEAST LIKELY to occur?
A. Event A
B. Event B
C. Event C
D. Event D
DO NOT ANSWER IF YOU DO NOT KNOW THE ANSWER! Whoever answers correctly will get Brainliest! :)
write an equation to describe the following situation in terms of Y and X
Answer:
[tex]y = 19000x \\ 19000 = 1 \times 19000 \\ 114000 = 6 \times 114000 \\ 133000 = 7 \times 19000[/tex]
Line C passes through the points (-6, -2) and (3,8). Line Fis perpendicular to Line C. What is the slope of Line F?
Slope of Line F =
2 3
4
Answer:
-9/10
Step-by-step explanation:
The slope of line C is [tex]m=\frac{8-(-2)}{3-(-6)}=\frac{10}{9}[/tex].
The slope of any line perpendicular to line C is the negative (opposite) reciprocal of this slope.
The slope of line F is [tex]-\frac{9}{10}[/tex].
The graph of a function f(x) passes through the following points:
(0,2), (1,0),(-1,0)
Which of the following could be f(x)?
O f(x) = - 2x2 + 2
O f(x) = 2x + 2
O f(x) = -27x + 2
O f(x) = - 2x + 2
Answer:
All of the them excluding f(x)=-27x+2
The required function is [tex]f(x)=-2x^2+2[/tex]. Hence, option a is correct.
Important information:
The graph of a function passes through the points (0,2), (1,0) and (-1,0).Quadratic function:The graph has two x-intercepts (1,0) and (-1,0). It means it is a quadratic function and [tex](x-1)[/tex] and [tex](x+1)[/tex] are two factors.
[tex]f(x)=a(x-1)(x+1)[/tex]
[tex]f(x)=a(x^2-1)[/tex] ...(i)
The graph passes through the point (0,2). Substitute [tex]x=0,f(x)=2[/tex] in the above function.
[tex]2=a(0^2-1)[/tex]
[tex]2=-a[/tex]
[tex]-2=a[/tex]
Substitute [tex]a=-2[/tex] in (i).
[tex]f(x)=-2(x^2-1)[/tex]
[tex]f(x)=-2x^2+2[/tex]
Therefore, the correct option is a.
Find out more about 'Quadratic function' here:
https://brainly.com/question/13965157
The director of special events for Sun City believed that the amount of money spent on fireworks displays for the Fourth of July was predictive of attendance at the Fall Festival held in October. She gathered the following data to test her suspicion.
4th of July ($000) Fall Festival (000)
10.6 8.8
8.5 6.4
12.5 10.8
9.0 10.2
5.5 6.0
12.0 11.1
8.0 7.5
7.5 8.4
9.0 9.5
10.0 9.8
7.5 6.6
10.0 10.1
6.0 6.1
12.0 11.3
10.5 8.8
1. Determine the regression equation
2. Complete the ANOVA table.
Tgwre is no attached ANOVA chart.
Answer:
y = 0.762x + 1.72
Step-by-step explanation:
Given the data above , the regression model obtained using a Pearson linear regression calculator is :
y = 0.762x + 1.72
The regression equation cloud be interpreted as follows :
Slope, which is the increase in the value of y per unit increase in x = 0.762
The intercwpt, which is the value of x when y = 0 is 1.72
x = amount of money spent in fireworks for 4th July
y = Attendance at the October fall festival.