9(x+6)
Solution:The GCF stands for Greatest Common Factor.We need to factor out the GCF of this binomial (expression with two terms)In order to factor out the GCF, we need to divide both terms by the GCF and place it outside the parentheses, like so:9x+549x÷9=x54÷9=6x+69(x+6)Hope it helps.
Do comment if you have any query.
QUESTION 3
(15 marks)
Binomial probability A JHB car Salesman found that 1 out of 5 of consultations result is a sale. If on the
randomly selected day he makes eight 8 consultations what is the probability that he will make.
3. 1 At most, one sale
3. 2 At least one sale
3. 3 Two or three sales
3. 4 Six sales
Using the binomial distribution, it is found that:
3.1 There is a 0.5033 = 50.33% probability that he makes at most one sale.
3.2 There is a 0.8322 = 83.22% probability that he makes at least one sale.
3.3. There is a 0.4404 = 44.04% probability that he makes two or three sales.
3.4. There is a 0.0011 = 0.11% probability that he makes six sales.
What is the binomial distribution formula?
The formula is:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
The parameters are:
x is the number of successes.n is the number of trials.p is the probability of a success on a single trial.In this problem:
1 out of 5 of consultations result is a sale, hence p = 1/5 = 0.2.8 consultations are considered, hence n = 8.Item 1:
The probability that he makes at most one sale is:
[tex]P(X \leq 1) = P(X = 0) + P(X = 1)[/tex]
Then:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{8,0}.(0.2)^{0}.(0.8)^{8} = 0.1678[/tex]
[tex]P(X = 1) = C_{8,1}.(0.2)^{1}.(0.8)^{7} = 0.3355[/tex]
Then:
[tex]P(X \leq 1) = P(X = 0) + P(X = 1) = 0.1678 + 0.3355 = 0.5033[/tex]
There is a 0.5033 = 50.33% probability that he makes at most one sale.
Item 2:
The probability that he makes at least one sale is:
P(X > 1) = 1 - P(X = 0) = 1 - 0.1678 = 0.8322.
There is a 0.8322 = 83.22% probability that he makes at least one sale.
Item 3:
The probability that he makes two or three sales is given by:
[tex]P(2 \leq X \leq 3) = P(X = 2) + P(X = 3)[/tex]
In which:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{8,2}.(0.2)^{2}.(0.8)^{6} = 0.2936[/tex]
[tex]P(X = 3) = C_{8,1}.(0.2)^{3}.(0.8)^{5} = 0.1468[/tex]
Then:
[tex]P(2 \leq X \leq 3) = P(X = 2) + P(X = 3) = 0.2936 + 0.1468 = 0.4404[/tex]
There is a 0.4404 = 44.04% probability that he makes two or three sales.
Item 4:
The probability that he makes six sales is P(X = 6), hence:
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 6) = C_{8,6}.(0.2)^{6}.(0.8)^{2} = 0.0011[/tex]
There is a 0.0011 = 0.11% probability that he makes six sales.
More can be learned about the binomial distribution at https://brainly.com/question/24863377
Help please my teacher is yelling at me atp , pleaseee help
Answer: $7 change remains
Step-by-step explanation: When doing rounding in word problems, in most situations you will have to round up regardless of numbers. Rounding to the nickel then means that the cents on the cash amounts must be .00 or .05 Following this pattern:
0.87 is rounded to 0.90
2.66 is rounded to 2.70
3.90 is rounded to 3.90
1.63 is rounded to 1.65
2.53 is rounded to 2.55
1.30 is rounded to 1.30
Then just add together the rounded amounts, which is $13
Simply subtract with the formula, 20-13=7
Can someone help me?
True or False. The volume formula for a general prism is dependent on the shape of the base.
answer: FALSE
Step-by-step explanation:
V=Bh
The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm. The area A of a rectangle with length l and width w is A=lw .
In number 1783429 write the follwings:
i)Write rhe digit that is in the ten thousand place.
ii)Successor of the number
Answer:
i) 8
ii) 9
Step-by-step explanation:
For i):
1 = million
7 = hundred thousand
8 = ten thousand place
3 = thousand
4 = hundred
2 = tens (twenty)
1 = unit (one)
For ii):
The successor of a number is the number that comes after the given number. The successor of a given number is 1 more than the given number. Every number has a successor by adding 1 to every number.
For instance, the successor of 0 is 1, the successor of 1 is 2, and so on.
In this case, the successor of 8 is 9 because 8 + 1 = 9
Hope this makes sense. If you need further explanation, let me know.
- profparis
Answer:
i)8
ii)1783429
Step-by-step explanation:
for i, count upto ten thousand and for ii, add 1 to the number
Herbert got a 76 on his last unit test. If he increases his score by 30% on the next test, what will his new score be?
Calculate the surface area of the object above.
33.
The number of people who voted for the Green Party in an election was 1500.
The number of people who voted for the Blue Party was 9000.
Write the ratio of Green Party voters to Blue Party voters in the form 1:n
Answer:
1:6
Step-by-step explanation:
=> 1500/9000
=> 1/6 [ the hcf is 1500]
=> 1:6
Question
Find the surface area of the cube.
The surface area is
square yards.
Answer:
81 square yards
Step-by-step explanation:
width- 9 ft
length- 9ft
width times length equals the area which is 81 square feet and if you multiply the height it is 729 which would be the volume.
Hope this helps.
BTW it's my birthday
A car rental agency has 42 cars (each an identical model). the owner of the agency finds that at a price of $32 per day, all the cars can be rented; however, for each $1 increase in rental cost, one of the cars is not rented. what should the agency charge to maximize income?
Answer:
increase to 38 and have the unused ones in for maintenance
Answer Choices (Multiple Choice)-
A. 6240+t<=8000
B. 8000>=6240t
C. 6240+5t<=8000
D. 8000+6240<=5t
E. 8000-6240>=5t
Answer:
c,e, d
Step-by-step explanation:
c,e,d is the correct to me
Writing Algebraic Expressions the product of 3 and X
Step-by-step explanation:
[tex]3 \times x[/tex]
[tex]3x[/tex]
Four years from now, hozumi will be 2 years younger than 4 times her present age. which equation could be used to determine hozumi’s age ( h ) now, and what is her age?
Answer:
2
Step-by-step explanation:
Four years from now: h+4
Hozumi will be 2 years younger than 4 times her present age: 4h-2
h+4=4h-2
6=3h
h=2
I need to find the answer to...
20% of $80 = ???
Answer:
16
Step-by-step explanation:
0.20 x 80 = 16
We can double check this by dividing :)
16/80 = 0.20 = 20%
Have an amazing day!!
Please rate and mark brainliest!!
the price of 5 boxes of crackers at the store can be represented by the equation $17.75 divide 5 = k what would be the cost of 7 boxes of crackers
Answer:
24.85
Step-by-step explanation:
17.75/5 = 3.55
3.55 x 7 = 24.85 :)
Have an awesome day!
Please rate and mark brainliest!
Complete the frequency table for the following set of data.
Step-by-step explanation:
Can anyone help with this? I'm having some trouble.
can someone help me with this
Answer:
B. across the y-axis
Step-by-step explanation:
The line of reflection is the perpendicular bisector of the segment between the orginal point and its image. If you plot the two points, you see that the y-axis is that bisector.
The point was reflected across the y-axis.
__
Additional comments
Changing the sign of the x-coordinate means a point that was some distance on one side of the y-axis is now that same distance on the other side. That is, the y-axis is the line of reflection when the sign of x changes.
Similarly, the x-axis is the line of reflection when the sign of y changes.
(x, y) ⇒ (-x, y) . . . . reflection across the y-axis
(x, y) ⇒ (x, -y) . . . . reflection across the x-axis
__
Changing the signs of both coordinates (in either order) is effectively a reflection across the origin. There are other names for this reflection, too.
(x, y) ⇒ (-x, -y) . . . . reflection across both axes, across the orign, rotation 180°
This is a recipe that makes 30 chocolate chip cookies:
- 150g butter
- 160g sugar
- 225g plain flour
- 1 large egg
- 12 teaspoon bicarbonate of soda
- 200g chocolate chips
Miss Watson wants to make 25 cookies for her class.
How much plain flour will she need?
Step-by-step explanation:
30: 225 = 25: X
30/225= 25/X
30×X = 225×25
30X = 5625
X = 187.5
Fill in the table using this function rule.
Answer:
1) 16
2) 12
4) 4
5) 0
Step-by-step explanation:
Plug in the value for x in the equation above and solve for y for all 5.
Estimate
10
12
−
3
8
using benchmark values. Your equation must show the estimate for each fraction and for the solution.
Step-by-step explanation:
I never learned this (for good reasons, I say). for me this is the strangest thing in math. math is precise. we are not guessing around when we can actually calculate things.
this is definitely ok, when just trying to decide, if one fraction is larger than the other, but to use that for an actual operation among fractions, is the biggest nonsense I have ever seen in math lessons (and not simpler than doing the precise calculation). again, math is a precise thing. the only valid level of imprecise answers is rounding, but only for the end result, not for intermediate results, because the rounding errors are rarely compensating for each other, they mostly pile up making the end result even less precise.
enough with the venting ...
benchmark fractions are the simple fractions (and their multiples)
1 (=1/1), 1/2, 1/3, 1/4, 1/5, 1/6
and then in steps of 2 :
1/8, 1/10, 1/12, ...
we try to find the closest simple fractions to our actual fractions and use them to estimate the actual result.
the simplest (but also normally the least precise) benchmark approach is using 1/2 as benchmark unit and 0, 1/2, 1 as benchmarks.
so, is 10/12 closest to 0, to 1/2 or to 1 ?
we know that 0 in 12ths would be 0/12, 1/2 would be 6/12, and 1 would be 12/12.
so, out of these 3 values 10/12 is closest to 12/12 (=1), so that is what you are choosing as representation.
is 3/8 closest to 0, 1/2 or to 1 ?
we would have 0/8, 4/8, 8/8.
and 3/8 is closest to 4/8 (= 1/2), and that is what we are choosing here as representation.
and the estimated result of 10/12 - 3/8 = 1 - 1/2 = 1/2 or 4/8 or 6/12.
let's pick 1/4 as benchmark unit.
so, are the numbers closest to
0, 1/4, 2/4, 3/4 or 1 (4/4) ?
for 10/12 we get then
0/12, 3/12, 6/12, 9/12, 12/12
and 10/12 is closest to 9/12 (3/4), which we pick as representation.
for 3/8 we get
0/8, 2/8, 4/8, 6/8, 8/8
if equidistant, we have to round up, so, we get 4/8 (2/4), which we pick as representation.
and the estimated calculation is
10/12 - 3/8 = 3/4 - 2/4 = 1/4
which is really horrible ...
2 and 4 are factors of 12 and 8. all smaller benchmark fractions (<1/4; so, e.g. 1/5, 1/6, 1/8. ...) are not meeting that criteria, making the benchmark finding much harder. so, I would not try that.
the real result is
the LCM of 12 and 8 is 24 (2×12 and 3×8).
so, we have
20/24 - 9/24 = 11/24 (almost 1/2).
so, actually, the benchmark unit of 1/2 is giving the best result here.
but to just do the exercise of benchmark units that are not factors of both denominators, let's pick 1/6
so, are the numbers closest to
0, 1/6, 2/6, 3/6, 4/6, 5/6 or 1 (6/6) ?
for 10/12 we get (all nicely)
0/12, 2/12, 4/12, 6/12, 8/12, 10/12, 12/12
so, 10/12 is closest to 10/12 (of course) = 5/6, which we pick as representation.
for 3/8 we get (ugh, we have to go for 24ths here too as 4×6 and 3×8)
0/24, 4/24, 8/24, 12/24, 16/24, 20/24. 24/24
3/8 = 9/24
so, the closest number to 9/24 is 8/24 (= 2/6), which we pick as representation.
and the estimated calculation is
10/12 - 3/8 = 5/6 - 2/6 = 3/6 = 1/2
did I say already that I don't like this ? that I don't see the advantage to the actual calculation ?
so, just in case : I don't like this (ugh) !
the sum of a number w and twenty-four to the power of four
Is it (W+24)⁴ or W+24⁴
Answer:
(w + 24)⁴
Step-by-step explanation:
The sum is to the power of four, so it would be the entire expression.
Hope this helps!
i dont really kno what to do.
Answer:
Step-by-step explanation:
rearrange the equation to the letter on the left side until you find an equation equal to one of the answers
Hello please help me this question I don’t know how to do it
Thx
I NEED HELP ASAP AND WILL GIVE BRAINLIEST OR WHATEVER U CALL IT
The figure below is made up of three triangles. EF, GH, IJ are straight lines.Find the value of angle p + angle q +angle r + angle s + angle t
Answer:
p=75(alternative) , t=105(sum of all sides) ,
q=105(sum of all sides) , s=105(straight angle)
r=75(sum of all sides)
What is 7.23 x 10^5 in standard notation
Delete the comma if needed
================================================
Explanation:
The exponent of 5 means we move the decimal 5 spots to the right.
This has us go from 7.23 to 723,000
If the exponent was negative, then we'd move that amount to the left.
The graph of p = 400 and the graph of p = 50s – 200 intersect at the point (12,400). If the equation p = 50s – 200 represents the profit, p, based on s sales, what does the intersection best represent?
a. When the sales are 400, the profit is 12.
b. When the sales are 12, the profit is 400.
c. The profit is always 400.
d. The sales are always 12.
5% of a number is 80, what is 25% of the same number? A. 4 B. 40 C. 400 D. 440
Answer: 400
Step-by-step explanation:
If 5% of a number is 80, just multiply that number by 5 to get 25 (5 x 5 = 25) and you will get 400.
Given the equation: y=6x + 2
What is the slope of the line?
Answer:
Slope =6
Step-by-step explanation:
The given equation is in the form: y = mx + b
Here, m is the slope & b is y-intercept
y = 6x + 2
m = 6
Where do you get the 2/5 and 3/5 from
Answer:
we can get 3/2 as the answer
+
Please can u look at the following
Answer:
a) x = -10
b) x = 7
Step-by-step explanation:
a)
2(x+3) = x - 4
==> distribute the 2
2x + 6 = x - 4
==> add 4 to both sides
2x + 10 = x
==> subtract 2x from both sides
10 = -x
==> divide both sides by -1
x = -10
b)
4(5x - 2) = 2(9x + 3)
==> distribute the 4 and 2
20x - 8 = 18x + 6
==> add 8 to both sides
20x = 18x + 14
==> subtract 18x from both sides
2x = 14
==> divide both sides by 2
x = 7