Answer:
[tex](p - q)(x) = (x -1) (x - 4)[/tex]
Step-by-step explanation:
Given
[tex]p(x) = x^2 - 1[/tex]
[tex]q(x) = 5(x - 1)[/tex]
Required
(p - q)(x)
This is represented as:
[tex](p - q)(x) = p(x) - q(x)[/tex]
[tex](p - q)(x) = x^2 - 1 - 5(x - 1)[/tex]
[tex](p - q)(x) = x^2 - 1 - 5x + 5[/tex]
Collec like terms
[tex](p - q)(x) = x^2 - 5x + 5 - 1[/tex]
[tex](p - q)(x) = x^2 - 5x + 4[/tex]
Expand
[tex](p - q)(x) = x^2 -4x - x + 4[/tex]
Factorize
[tex](p - q)(x) = x(x -4) - 1(x - 4)[/tex]
[tex](p - q)(x) = (x -1) (x - 4)[/tex]
help!!!
For which points is the x-coordinate less than 3?
Answer:
C and D.
Step-by-step explanation:
C is ( 1 , 1 ) and D is ( -2.5 , -1.5 )
2 1/4 divided by 6
PLS I NEED HELP ASAP
Answer:
.375 which is 3/8
Step-by-step explanation: If you meant the mixed fraction 2 1/4 divided by 6 then that is the answer! 2 1/4 =2.25 and divide it by 6 and you get 0.375
Answer:
3/8
Step-by-step explanation:
convert mixed numbers to improper fractions
21/4 = 9/4
convert element to fraction
6=6/1
9/4 divided by 6/1
apply the fraction rule (hope you're familiar)
9/4 * 1/6
cross- cancel common factor 3
3*1 = 3
4*2 = 8
multiply the numbers
3/ 4*2
3/8
Help
a.66 b.124 c.114 d.132
Answer:
probably 66, because if m<CDA = 66 then so does m<BCD because they're both the same lengths
I have no idea what to do
Answer:
the second is correct
Step-by-step explanation:
choose as brainliest
PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!
Answer:
[tex]105km[/tex]
Step-by-step explanation:
It is given that; ([tex]2.5cm : 15km[/tex]) is the proportion by which distances are scaled down on a map. One can use this to make a proportion and solve to find how many ([tex]km[/tex]) would represent ([tex]17.5cm[/tex]). ([tex]x[/tex]) will represent the unknown or the number of ([tex]km[/tex]) that one has to solve for.
[tex]2.5 : 15 = 17.5 : x[/tex]
Cross products,
[tex]262.5 = 2.5x[/tex]
Inverse operations,
[tex]262.5 = 2.5x\\/2.5\\\\105 = x[/tex]
How do I answer this ? (1 + 3x)º
44°
Answer:
132x+44
Step-by-step explanation:
(1+3x)(44)
=(1+3x)(44)
=(1)(44)+(3x)(44)
=44+132x
=132x+44
ill mark brainlist pllsss help
Answer:
81
Step-by-step explanation:
all sides are equal if square 9 x 9 = 81
Answer:
81m^2
Step-by-step explanation:
Area = length × height
118.385 to the nearest ones
Answer:
118
Step-by-step explanation:
118.385
|
ones place
Answer:
118
Step-by-step explanation:
118.385
5 rounds 8 to 9
9 rounds 3 to 4
4 isnt 5 or above so 4 makes 8 stay the same
Please help please thank
Answer:
3/4 of an hour
Step-by-step explanation:
the longest is 1 hour. the shortest is 1/4 of an hour. 1 minus 1/4 is 3/4
which of the following is like a radical to 3 sqrt 6x2 ??? PLEASE HURRY
Answer:
[tex]3\sqrt{6x^2} = 3x\sqrt{6}[/tex]
Step-by-step explanation:
Given
[tex]3\sqrt{6x^2[/tex]
Required
Express as a radical
Split
[tex]3\sqrt{6x^2} = 3\sqrt{6} * \sqrt{x^2[/tex]
[tex]\sqrt{x^2} = x[/tex]
So:
[tex]3\sqrt{6x^2} = 3\sqrt{6} * x[/tex]
This gives:
[tex]3\sqrt{6x^2} = 3x\sqrt{6}[/tex]
A certain type of aluminum screen has, an average, one flaw in a 100-foot roll. Assume the flaw distribution approximately follows the Poisson distribution. (a) Find the probability that a 100-foor roll has at most 2 flaws. (b) Suppose that I bought 10 200-foot rolls, find the probability that there are exactly 3 rolls that have no flaws in them. (c) Suppose that a store had many 200-foot rolls in storage, a clerk is doing inspections. What is the probability that the 15th roll he inspected was the 3rd one that have no flaws in it
Answer:
a) 0.9197 = 91.97% probability that a 100-foor roll has at most 2 flaws.
b) 0.1074 = 10.74% probability that there are exactly 3 rolls that have no flaws in them.
c) 0.0394 = 3.94% probability that the 15th roll he inspected was the 3rd one that have no flaws in it.
Step-by-step explanation:
To solve this question, we need to understand the Poisson and the Binomial distribution.
Poisson distribution:
In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by the following formula:
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
In which
x is the number of sucesses
e = 2.71828 is the Euler number
[tex]\mu[/tex] is the mean in the given interval.
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.
(a) Find the probability that a 100-foor roll has at most 2 flaws.
A certain type of aluminum screen has, an average, one flaw in a 100-foot roll, which means that [tex]\mu = 1[/tex]. Only one roll means that the Poisson distribution is used.
This is:
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)[/tex]
In which
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-1}*1^{0}}{(0)!} = 0.3679[/tex]
[tex]P(X = 1) = \frac{e^{-1}*1^{1}}{(1)!} = 0.3679[/tex]
[tex]P(X = 2) = \frac{e^{-1}*1^{2}}{(2)!} = 0.1839[/tex]
[tex]P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.3679 + 0.3679 + 0.1839 = 0.9197[/tex]
0.9197 = 91.97% probability that a 100-foor roll has at most 2 flaws.
(b) Suppose that I bought 10 200-foot rolls, find the probability that there are exactly 3 rolls that have no flaws in them.
Two parts.
Probability that a single 200-foot roll has no flaw.
This is [tex]P(X = 0)[/tex], Poisson(single 200-foot roll) when [tex]\mu = \frac{200*1}{100} = 2[/tex]. So
[tex]P(X = x) = \frac{e^{-\mu}*\mu^{x}}{(x)!}[/tex]
[tex]P(X = 0) = \frac{e^{-2}*2^{0}}{(0)!} = 0.1353[/tex]
0.1353 probability that a single 200-foot roll has no flaw.
Probability that on 10 200-foot rolls, 3 have no flaws.
Multiple 200-foot rolls means that we use the binomial distribution.
0.1353 probability that a single 200-foot roll has no flaw means that [tex]p = 0.1353[/tex]
10 200-foot rolls means that [tex]n = 10[/tex]
We want [tex]P(X = 3)[/tex]. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 3) = C_{10,3}.(0.1353)^{3}.(0.8647)^{7} = 0.1074[/tex]
0.1074 = 10.74% probability that there are exactly 3 rolls that have no flaws in them.
(c) What is the probability that the 15th roll he inspected was the 3rd one that have no flaws in it.
0.1353 probability that a single 200-foot roll has no flaw means that [tex]p = 0.1353[/tex]
2 with flaws in the first 14, which is [tex]P(X = 2)[/tex] when [tex]n = 14[/tex]
The 15th has no flaw, with probability of 0.1353. So
[tex]P = 0.1353*P(X = 2) = 0.1353*(C_{14,2}.(0.1353)^{2}.(0.8647)^{12}) = 0.1353*0.2911 = 0.0394[/tex]
0.0394 = 3.94% probability that the 15th roll he inspected was the 3rd one that have no flaws in it
7. Bella scored 8 points in the second round. This
made her total score 39. How many points did she
score in the first round?
PLSSS HELP Due in 5 mins!!!
Answer:
a 15
b 42
c 12
trust me
Find the surface area of the pyramid.
A triangular pyramid. The base triangle has a base of 20 yards and a height of 17.3 yards. The height of a triangular face is labeled 12 yards.
Answer:
532.79yards²
Step-by-step explanation:
Surface area of a pyramid = A + 1/Ph
A is the base area
P is the perimeter of the base
h is the height of the pyramid
Given the following
Height of triangular base = 17.3yards
Base of the triangle = 20yards
Height of prism = 12yards
Base Area = 1/2 × 20×17.3
Base Area = 10×17.3
Base Area = 173yd²
For the Perimeter P
Get the slant height using Pythagoras theorem
s² = (20/2)²+17.3²
s² = 10²+17.3²
s² = 100+299.29
s² = 399.29
s = √399.29
s = 19.98
Perimeter = 19.98+19.98+20
Perimeter = 59.96yards
Substitute
Surface Area = 173+1/2((59.96)(12)
Surface Area = 173+6(59.96)
Surface Area = 173+359.79
Surface Area = 532.79yards²
in a major study by the statistics classes at Washington High School, city parking spaces were examined for compliance with the requirement to put money in the parking meters. Overall, the students found that 76% of metered parking places had meters that had NOT expired, and 24% had meters that were expired. If the traffic officer in charge of ticketing cars with expired meters checks meters at random, what is the probability he will find an expired meter BEFORE the 3rd one
Answer:
0.4224 = 42.24% probability he will find an expired meter BEFORE the 3rd one
Step-by-step explanation:
For each car, there is a 24% probability that it had expired parking meters.
What is the probability he will find an expired meter BEFORE the 3rd one?
Three possible outcomes:
Two expired(each with 24% probability)
First expired(24% probability) and second not(76% probability)
First not(76% probability) and second expired(24% probability). So
[tex]p = 0.24^2 + 2*0.24*0.76 = 0.4224[/tex]
0.4224 = 42.24% probability he will find an expired meter BEFORE the 3rd one
Given a and b are numbers, and a + b = 180, which
statements also must be true?
a = 180 - 6
a - 180 = b
360 = 2a + 2b
a = 90 and b = 90
A share of ABC stock was worth $60 in 2000 and worth $1920 in 2005.
Write an exponential function that models the value of the stock starting
from 2005.
Answer:
A share of ABC stock was worth $60 in 2005 and only worth $45 in 2010. ... diftolence b. Write an exponential function that ...
PLEASE HELP URGENT!!
WILL GIVE BRAINLIEST
find the area of the composite figure.
-126 cm2
-140 cm2
-252 cm2
-280 cm2
Answer:
252cm².because,
we know Formula for finding Area of Trapizm.
That is,
1/2 × Sum of length of parallel sides × Height.
Here, we have 2 congruent Trapizm.
so,
Lengths of parallel sides = 16 and 20.
16 + 20 = 36.
Height = 7 cm.
Using Formula.
1/2 × 36 × 7
18 × 7
126 cm²
Here, we have two Trapizm...
so that..
126 × 2 = 252cm².
Answer:
252cm².
Step-by-step explanation:
I took the test
Write the equation of a line parallel to and passes through the given line’s x-intercept. Leave answer
in slope-intercept form
Answer:
y = 1/2x - 4
Step-by-step explanation:
The x-intercept is when y = 0, so it would be:
-x + 2 * 0 = 4
-x = 4
x = -4
That means the x-intercept is (0, -4)
The parallel line would have the same slope as this one, so:
[tex]-x+2y = 4\\2y = x + 4\\y = 1/2x + 2[/tex]
The parallel line has a slope of 1/2
So now you need to find the equation of a line that has a slope of 1/2 and passes through the point (0, -4)
Put it in point slope form:
y - (-4) = 1/2(x - 0)
y + 4 = 1/2x
y = 1/2x - 4
In a certain town there were 348 robberies last year. This year the number of robberies has gone down 40%. How many robberies were there this year, to the nearest whole number?
Answer:
209 robberies
Step-by-step explanation:
Robberies last year =348
Robberies has reduced by 40% which means there are (100-40)% = 60% robberies this year.
Number of robberies this year= 60% of 348 = 60/100 × 348 = 208.8
To the nearest whole number = 209
There are 209 robberies this year.
I hope this help.
What is the solution of log2x + 6 8 = 3?
Answer:
x=-3
Step-by-step explanation:
log(2x + 6) +8 = 3
Solve this log equation for x
First subtract 8 from both sides
log(2x+6)= -5
Now we convert it into exponential form
If log(x) = a then 10^a = x
log(2x+6)= -5 becomes
subtract 6 from both sides
Now we divide by 2 on both sides
x= -3 approximately
write an integer for each
1- a deposit for $40
2- a loss of 25 pounds
please this assignment locks soon and it’s already over due,
Answer:
1. 40
2. -25
Step-by-step explanation:
I'm sure this is the answer
PLZ HELP DUE IN 8 MINS PLZ HELP
Answer: for number 1 its negative 14
Step-by-step explanation:
5m=105 what is m in the equation
Answer:
m = 105 / 5 = 21
Step-by-step explanation:
Does someone know the answer I NEED IT NOW
Answer:
2nd option ,
A is correct, B is incorrect, C is correct
What is the distance of -a and a?
Step-by-step explanation:
Distance = positive value
a + a = 2a
Answer:
I think its 0
Step-by-step explanation:
becuase if you add the same number but on is negative and the other is positve it is always a 0.
Example:
10 + (-10) = 0
Jamie wants to treat some friends to lunch. He has $40 and knows the lunch will cost about $7 per person p. How many people can Jamie buy lunch for.
Answer:
5 people
Step-by-step explanation:
40/7=5.71
Thats not enough for 6 people so you go down to 5 people, you can't have 5.71 of someone
The sector of a circle has an area of 104pi/9 square inches and a central angle with measure 65 degrees. What is the radious of the circle in inches? Show work. a. 5.7 b. 8 c. 64 d. 104
Answer: b. 8
Step-by-step explanation: I don’t have work
The radius of the circle in inches should be considered as the 8 when the measurement of the central angle is given.
Calculation of the radius of the circle;Since
The sector of a circle has an area of 104pi/9 square inches and a central angle with measure 65 degrees.
Also we know that
Area of the sector = [tex]65 / 360 *[/tex] Area of circle
[tex]104\pi \div 9 = 65\div 360 (\pi r^2)\\\\104\div 9 = 65\div 360 r^2\\\\[/tex]
r = 8
Hence, The radius of the circle in inches should be considered as the 8.
Learn more about circle here: https://brainly.com/question/15593101
Please help
A 136
B 208
C 352
D 576
Answer im not in grade
Step-by-step explanation:
Which equation represents the function f(x) = (1.6)x after it has been translated 5 units up and 9 units to the right?
Answer:
It's C. g(x) = (1.6)x − 9 + 5
Step-by-step explanation: hope it helps ^w^