Answer:
3√35
Step-by-step explanation:
since √(ab) = √a·√b you can write √5·√7 as √35
So you have √35 + 2√35 = 3√35
1. Let f(x) be defined by the linear function graphed below and
g(x) = x2 - 9x + 14.
I
A. Describe the right end behavior of g(x).
Answer:
Step-by-step explanation:
A). g(x) = x² - 9x + 14
Since coefficient of highest degree term (x²) is positive, parabola will open upwards.
For any parabola opening upwards,
Right end behavior,
y → ∞ as x → ∞
B). Let the equation of the linear function is,
f(x) = mx + b
Where m = slope of the function
b = y-intercept
From the graph attached,
Slope 'm' = [tex]\frac{\text{Rise}}{\text{Run}}=\frac{-(2+1)}{(0+1)}[/tex]
m = -3
b = -1
Therefore, function 'f' will be,
f(x) = (-3)x - 1
f(x) = -3x - 1
g(x) = x² - 9x + 14
= x² - 7x - 2x + 14
= x(x - 7) - 2(x - 7)
= (x - 2)(x - 7)
If h(x) = f(x)g(x)
h(x) = -(3x + 1)(x -2)(x - 7)
For h(x) ≥ 0
-(3x + 1)(x - 2)(x - 7) ≥ 0
[tex]x\leq -\frac{1}{3}[/tex] Or 2 ≤ x ≤ 7
Therefore, for 2 ≤ x ≤ 7, h(x) ≥ 0
C). If k(x) = [tex]\frac{h(x)}{(x-2)}[/tex]
k(x) = [tex]\frac{-(3x+1)(x-2)(x-7)}{(x-2)}[/tex]
k(x) = -(3x + 1)(x - 7)
For k(x) = -56
-(3x + 1)(x - 7) = -56
3x² -20x - 7 = 56
3x² - 20x - 63 = 0
3x² - 27x + 7x - 63 = 0
3x(x - 9) + 7(x - 9) = 0
(3x + 7)(x - 9) = 0
[tex]x=-\frac{7}{3},9[/tex]
Bender Electronics buys keyboards for its computers from another company. The keyboards are received in shipments of 100 boxes, each box containing 20 keyboards. The quality control department at Bender Electronics first randomly selects one box from each shipment and then randomly selects 5 key boards from that box. The shipment is accepted if not more than 1 of the 5 keyboards is defective. The quality control inspector at Bender Electronics selected a box from a recently received shipment of keyboards. Unknown to the inspector, this box contains 6 defective keyboards.
Round your answers to four decimal places.
a. What is the probability that this shipment will be accepted?
P(shipment accepted)=
b. What is the probability that this shipment will not be accepted?
P(shipment not accepted)=
Answer:
a
[tex]P(shipment\ accepted) =0.6337 [/tex]\
b
[tex]P(shipment\ not\ accepted)= 0.3663 [/tex]
Step-by-step explanation:
from the question we are told that
The number of boxes N = 100
The number of keyboard in each box is k = 20
The sample size is n = 5
Generally the number of ways of selecting 1 keyboard from the 5 selected keyboard is mathematically represented as
[tex]G = \ ^{5}C_1[/tex]
Here C stands for combination (Hence in the question we will be making use of the combination functionality in our calculator )
Generally the number of ways of selecting 0 keyboard from the 5 selected keyboard is mathematically represented as
[tex]H = \ ^{5}C_0[/tex]
Generally the number of ways of selecting 5 keyboard from the 20 keyboards is mathematically represented as
[tex]F = \ ^{20}C_5[/tex]
Generally the number of ways of selecting 5 keyboard from the 15 keyboards is mathematically represented as
[tex]W = \ ^{15}C_5[/tex]
Generally the number of ways of selecting 5 keyboard from the 15 keyboards is mathematically represented as
[tex]V = \ ^{15}C_4 [/tex]
Generally the probability that a shipment will be accepted is mathematically represented as
Probability of 0 defect out of 5 + Probability of 1 defect out of 5
Now
Probability of 0 defect out of 5 is mathematically represented as
[tex]P(A_1) = \frac{H*W }{ F}[/tex]
=> [tex]P(A_1) = \frac{1 *3003 }{ 15504}[/tex]
=> [tex]P(A_1) = 0.1937[/tex]
And Probability of 1 defect out of 5 is mathematically represented as
[tex]P(A_2) = \frac{ G * V}{ F}[/tex]
=> [tex]P(A_2) = \frac{ 5 * 1365}{15504}[/tex]
=> [tex]P(A_2) = 0.440[/tex]
Generally the probability that a shipment will be accepted is mathematically represented as
[tex]P(shipment\ accepted) =0.1937 + 0.440[/tex]
=> [tex]P(shipment\ accepted) =0.6337 [/tex]
Generally the probability that this shipment will not be accepted is mathematically represented as
[tex]P(shipment\ not\ accepted)= 1 -P(shipment \ accepted)[/tex]
[tex]P(shipment\ not\ accepted)= 1 - 0.6337 [/tex]
[tex]P(shipment\ not\ accepted)= 0.3663 [/tex]
Help me please I really need help
Answer:
it doesn't because it's not a set of ordered pairs
Simplify the algebraic expression by combining like (or similar) terms.
5+9x+2
Answer:
7 + 9x
Step-by-step explanation:
add 5 and 2 and 9x doesn't have a like term so it stays the same
Answer:
9x + 7
Step-by-step explanation:
Like terms are terms that have the same variables and powers. Here, for 9x, there is no other term that is multiplied by x. So, the only terms we can combine is 2 and 5 which leaves us with 9x+7.
Gustavo noticed that when a pair of parallel lines was cut by a transversal, a certain pair of
adiacent angles formed a straight line. What can he conclude from this observation? Select one
that applies.
Answer:
The two angles are supplementary
Step-by-step explanation:
Not sure if this is an option, but it would make sense with the question
The sum of the adjacent angles is 180° which means the adjacent angle will be supplementary angles.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
Supplementary angle - Two angles are said to be supplementary angles if their sum is 180 degrees.
Adjacent angle - In math, two points are nearby in the event that they have a typical side and a typical vertex.
Gustavo saw that when a couple of equal lines were cut by a cross-over, a specific set of nearby points shaped a straight line.
The sum of the adjacent angles is 180° which means the adjacent angle will be supplementary angles.
The diagram is given below.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ2
A fashion designer wants to know how many new dresses women buy each year. Assume a previous study found the standard deviation to be 1.3. He thinks the mean is 5.5 dresses per year. What is the minimum sample size required to ensure that the estimate has an error of at most 0.1 at the 95% level of confidence? Round your answer up to the next integer.
Answer:
649
Step-by-step explanation:
Given that
Mean number of dresses is 5.5
Standard deviation of the sample, S.D is 1.3
Margin of error, M.E is 0.1
Level of confidence is 95% or 0.95
The formula for margin of error, M.E is
Z * (S.D/√n) , where
Z = Value for level of confidence which is 1.96
Proceeding further, we have
0.1 = 1.96 * (1.3/√n)
0.1 = 2.548 / √n, making √n subject of formula, we have
√n = 2.548 / 0.1
√n = 25.48, squaring both sides
n = 25.48²
n = 649.23
Therefore the number of sample size we're looking for is n = 649.23, when rounded to the nearest integer, we have it to be 649
To observe the effect of a categorical IV on a categorical DV (or variables recoded categorically from quantitative data), you would use the:
Answer:
Dummy Coding
Step-by-step explanation:
Dummy Coding is used to observe the effect of one categorical variable on another.
In this case, the first categorical variable is independent (ICV) while the other is dependent (DCV).
The dummy coding system makes use of two numerical values; 0 representing the absence of an effect and 1 representing the presence of that effect.
A coin is about to be tossed 50 times. Determine the probability the 8th heads occurs on the 12th toss
Answer:
0.0806
Step-by-step explanation:
From the given information:
Number of toss = 50
The probability of having a head = 1/2 = 0.5
The Probability of 8th head occur on 12th toss can be computed as :
Pr(8th head occur on 12th toss) = Pr(7 heads in 11 toss) × P(8th head on 12th toss)
Pr(8th head occur on 12th toss) = C(11,7) × 0.5⁷ × (1 - 0.5)⁴ * 0.5
Pr(8th head occur on 12th toss) = [tex]\dfrac{11!}{7!(11-7)!}[/tex] × 0.5⁷ × (1 - 0.5)⁴ × 0.5
Pr(8th head occur on 12th toss) = 0.0806
Answer:
The probability of 8th heads,
That is occurred on 12th toss.
Step-by-step explanation:
A coin is tossed 50 times.
There are two possible outcomes of occurring a head or tail.
Probability of occurring head = no.of head/ possible outcomes
= 1/2
Total number of tossing a coin= 50 times
Probability of 8th heads occurs on 12th toss:
12C8 (1/2)8 (1/2)9 (1/2)10 (1/2)11 (1/2)12
= 12C8 (1/2)8+9+10+11+12
= 12C8 (1/2)50
= 12C8 / 250
= 495 / 1125899906842624
= 4396.48317752 x 10-16
This is the probability of 8th heads,
That is occurred on 12th toss.
what are the real and imaginary parts of complex number -6+2i
The real part __
The imaginary part __
HELP ASAP!! WILL GIVE BRAINLIEST
Answer:
Step-by-step explanation:
Real number: -6 (for it is a constant)
Imaginary number is 2 & i (for it does not technically exist).
hope this helps
A Giant Sequoia tree is planted in Trevor's
backyard when it is 2 ft tall. The tree grows an
average of 4 ft each year. Write a function and
graph the height of the tree over this time period.
I need to know the answer and what points to graph please help
The correct Standard Form of the equation y=−2/7x−11/7
Answer:
y=-(2)/(7)x-5
Step-by-step explanation:
iiii need heeelllppp with this one
Step-by-step explanation:
line passes through the point (5,0) and another one (0,3)
equation of the line passing through two points is
x-x1/x2-x1=y-y1/y2-y1
so
x-5/0-5=y-0/3-0
(x-5)*3=y*(-5)
3x-15+5y=0
this is the equation of the line shown in the graph
Alice has x dollars in her bank account. She deposits $75 in her account. After the deposit, the account has $550. Write an equation that could be used to figure out how much money was in her account before the deposit.
Answer:
$475
Step-by-step explanation:
$550 - $75 = $475
$475 = x
Answer:
The answer would be $550-$75
Step-by-step explanation:
This would give you how much money was in her account before she adds the deposit.
which is expression is equivalent to 1/5÷1/2
Answer:
2.5
Step-by-step explanation:
solve the following equation for a: -g + 3/4a = y
9514 1404 393
Answer:
a = (4/3)(y+g)
Step-by-step explanation:
Isolate 'a' term, then multiply by the reciprocal of its coefficient.
[tex]-g+\dfrac{3}{4}a=y\qquad\text{given}\\\\\dfrac{3}{4}a=y+g\qquad\text{add $g$}\\\\\boxed{a=\dfrac{4(y+g)}{3}}\qquad\text{multiply by $4/3$}[/tex]
whats 62.7×2.45......?
Answer:
153.615
Step-by-step explanation:
62.7 × 2.45=153.615
How many sandwiches must you sell to make $100 profit
Answer:
About 25 sandwiches...
Step-by-step explanation:
Answer:
67 sandwiches
Step-by-step explanation:
If you invest 250 dollars to start, you're currently -250. If you gain 5.25 per sandwich you sell, you'd need to sell about 67 sandwiches.
I'm not entirely sure what your question meant though. If the question is simply asking how many sandwiches it would take to make 100 dollars, it would be about 20 sandwiches. If the question is asking how many sandwiches you'd need to sell to gain 100 dollars in profit, covering the cost of the cart, it would be about 67 sandwiches.
Aniya is helping her father paint a fence. She can paint 2 sections of the fence in 15 minutes. How many minutes will it take Aniya to paint 12 sections of the fence.
Answer:
90 minutes
Step-by-step explanation:
Since 15 divided by 2 is 7.5, it takes 7.5 minutes to paint 1 section. 7.5 times 12 is 90, meaning that is takes 90 minutes for her to paint 12 sections.
is 1.05 a terminating decimal
Answer:
No
Step-by-step explanation:
Answer:
no
Step-by-step explanation:
Before the 1936 US presidential election, a popular poll predicted that Alfred Landon would comfortably win against Franklin D. Roosevelt. The poll randomly sampled people from sources like telephone and car registration records, but the country was in an economic crisis, so many voters without those luxuries were not included in the poll. Voters with lower incomes favored Roosevelt, who ultimately won with 62%, percent of the vote—one of the largest margins of victory ever in a US presidential election. Which type of bias does this scenario best describe?
a. Bias from undercoverage
b. Bias from using voluntary response
c. Response bias
d. Nonresponse bias
Answer:
A
Step-by-step explanation:
Got it right
Philip wants to know the weight of a book to within half a gram. His weighing scales only weigh to within 10 grammes.
What is the smallest number of identical copies of this book that Philip should weigh together to be able to do this?
Answer:
f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)
Step-by-step explanation:
Your economics instructor assigns you and a student you do not know a joint project. Assume that you and your partner are both interested in maximizing your grade, but you are both very busy and get more happiness if you can get a good grade with less work. Since you do not know the student, making a credible commitment to how much you are going to work is impossible. Note that on the payoff matrix below, 10/10 is happiest and 1/10 is least happy. This level of happiness is a combination of how much you work and the grade you achieve. Assume that you will have to work on only one project with this partner.
You Work Hard Work Less Hard Grade-A, but you had to work 6 hours. Happiness-6/10 [Grade A, and you only worked 2 hours. Happiness-10/10 Your Partner Work Har Grade-A, but your partner had to work 6 hours. Happiness-6/10 Grade-A, but your partner had to work 10 hours. Happiness 4/10 Work Less Hard Grade-A, but you had to work 10 hours. Happiness-3/10 Grade B, but you only worked 4 hours. Happiness 5/10 Grade A, and your partner only worked 2 hours. Happiness-8/10 Grade- B, but your partner only worked 4 hours. Happiness-5/10 In this game, both you and your partner will collectively work a total of hours on the project.
Answer:
can you shorten down the question its too long to understand
Step-by-step explanation:
how to construct cuboid net? what should be the measurement (around 1-5)?
the measurement should be 4
Trevor paints 1/6 of the fence surrounding his farm each day how many days will it take him to paint 3/4 of the fence?
Answer:
5 days
Step-by-step explanation:
1/6 = 2/12
3/4 = 9/12
9/2=4.5
rounded 5
How many milliters are in 90 ounces
Answer:
2661,62 ml
Step-by-step explanation:
can i plz have brainliest :)
Find the area and perimeter of a rectangle whose sides are √2 + 3 √5 + 2
Answer:
√10 + 2√2 + 3√5 + 6
2√2 + 2√5 + 10
Step-by-step explanation:
Given parameters:
Dimensions of the rectangle:
√2 + 3 and √5 + 2
Unknown:
Area and Perimeter of the rectangle = ?
Solution:
Area of a rectangle = L x W
Perimeter of a rectangle = 2 (L + W)
Input the parameters and solve;
Area = (√2 + 3)(√5 + 2)
= √10 + 2√2 + 3√5 + 6
Perimeter of a rectangle = 2(√2 + 3 + √5 + 2)
= 2√2 + 6 + 2√5 + 4
= 2√2 + 2√5 + 10
Evaluate 8 ÷ -2 · 4²+9. Thanks! Will give brainiest if possible
Which mathematical property is demonstrated?
5⋅7⋅4=5⋅4⋅7
associative property of addition
associative property of multiplication
commutative property of multiplication
commutative property of addition
Answer:
commutative property of multiplication
Step-by-step explanation:
what is the answer the question 3? pls help!!
Answer:
no slope
Step-by-step explanation:
m=y2-y1/x2-x1
(-1)-1=(-2)
7-7=0
(-2)/0 is undifined
there is no slope
hope this helps :3
What is the slope of the equation of this line? (Put into y=mx+b form first). 6x+y=-1
Answer:
-6
Step-by-step explanation:
6x + y = -1
y = -6x-1
slope which is m is -6