Answer:
Write the following phrase as an algebraic expression. Use n for a number." three increased by the quotient of a number and two a. 3 + 2 b. 3 + C! 312+ 2) d. 3 + 212
Step-by-step explanation:
Write the following phrase as an algebraic expression. Use n for a number." three increased by the quotient of a number and two a. 3 + 2 b. 3 + C! 312+ 2) d. 3 + 212
Answer:
The answer is b. 3 + n / 2
Step-by-step explanation:
Suppose that 2% of produced computers by a company have defects, and defects occur independently of each other. a) Find the probability of exactly 2 defective computers in a shipment of 100 computers. b) The probability that a computer support specialist needs to test at least N computers in order to find one defective computer is 0.6676. Find N.
Answer:
a) P(exactly two defectives) = 0.2734
b) N [tex]\simeq[/tex] 55
Step-by-step explanation:
From the given information:
P(exactly two defectives) = P(X =2) = [tex]^{100}C_2 \times ( 0.02)^2 \times(1-0.02)^{100-2}[/tex]
[tex]= \dfrac{100!}{2!(100-2)!} \times ( 0.02)^2 \times(0.98)^{98}[/tex]
[tex]= 4950 \times 4 \times 10^{-4} \times 0.1380878341[/tex]
= 0.2734
Thus, P(exactly two defectives) = 0.2734
b)
To find:
P(X ≥ 1 )
let X be the random variable that obeys a binomial distribution, X represents the number of defectives,
∴
[tex]X \sim B ( N, 0.02)[/tex]
[tex]P(X \ge 1 ) = 1 - P(X < 1) \\ \\ P(X \ge 1 ) = 1 - P(X = 0)[/tex]
[tex]0.6676 = 1 - ^NC_0 \times (0.02)^0 (0.98)^N[/tex]
[tex]0.6676 = 1 - (0.98)^N[/tex]
[tex](0.98)^N = 1 - 0.6676[/tex]
[tex](0.98)^N = 0.3324[/tex]
N log (0.98) = log (0.3324)
[tex]N = \dfrac{log \ 0.3324}{log \ 0.98}[/tex]
N = 54.51824841
N [tex]\simeq[/tex] 55
Find the distance between the two points rounding to the nearest tenth (if necessary). (−2,−2) and (0,7)
Answer:
9 units
Step-by-step explanation:
(0,7)-(-2,-2)= (2,9)
distance = 9 units
Answer:
2.2
Step-by-step explanation:
(-2,-0)^2+(-2,-7)^2
(-2)^2+(-9)^2
4+81
85
9.2
All 27 students in Joe’s class bought the same items. The expression below shows the total spent by ALL 27 students:
27(2p + 4e + 10p + 20)
a) What property can be used to simplify the expression:
______________________________________________________________________
______________________________________________________________________
b) Simplify the expression:
Answer:
I will give you the explanation, figure out the answer.
Step-by-step explanation:
For this expression, you need to distribute 27 into the expression inside the parantheses.
Distributing will look like this:
(27 x 2p) + (27 x 4e) + (27 x 10p) + (27 x 20)
Now to get the simplified version of this expression, you just need to multiply and combine like terms!
Jonathan is deciding between two truck rental companies. Company A
charges an initial fee of go for the rental plus $1 per mile driven
Company B charges an initial fee of $10 for the rental plus $1.50 per
mile driven. Let A represent the amount Company A would charge if
Jonathan drives s miles, and let B represent the amount Company B
would charge if Jonathan drives s miles, Graph each function and
determine which company would be cheaper if Jonathan needs to
drive 60 miles with the rented truck,
Answer:
Jonathan is deciding between two truck rental companies. Company A
charges an initial fee of go for the rental plus $1 per mile driven
Company B charges an initial fee of $10 for the rental plus $1.50 per
mile driven. Let A represent the amount Company A would charge if
Jonathan drives s miles, and let B represent the amount Company B
would charge if Jonathan drives s miles, Graph each function and
determine which company would be cheaper if Jonathan needs to
drive 60 miles with the rented truck,
A rectangle has an area of 24 square centimeters. If the length and width of the rectangle are multiplied by 5, what is the area of the new rectangle?
Answer:
it will be 5 x 5 bigger... or 25 times bigger than 24 or 600 [tex]cm^{2}[/tex]
Step-by-step explanation:
The required area of new rectangle is 600 square meters.
What is rectangle?A rectangle is a part of a quadrilateral, whose sides are parallel to each other and equal.
Let the length of the rectangle = x cm,
And width of rectangle = y cm.
Given that,
The area of rectangle is 24 square centimeters.
The area of rectangle = length × width
xy = 24 (1)
When length and width are multiplied by 5,
The length becomes 5x and width becomes 5y,
The area of new rectangle = 5x × 5y
= 25 xy
Substitute the values of xy from equation (1),
Area = 25 × 24 '
= 600
The area of new rectangle is 600 square centimeters.
To know more about Rectangle on:
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Please help and click on this. I've been trying to get this question on brainy for about 3 whole days and nobody bothers to answer. How many ounces of pure vinegar must be added to 80 ounces of a 10% solution to make a 25% solution? please and thank you
Answer:
32 ounces
Step-by-step explanation:
[tex]M_{1} v_1=M_2v_2\\(0.10)80=(0.25)x\\(1/0.25) (0.10)80=(0.25)x(1 /0.25)\\\frac{(0.10)80}{0.25} =32 ounces[/tex]
Graph the solution to the following system of inequalities in the coordinate plane.
y>1/4x+6
y>2x-1
Answer:
The solution is any point in the common part of red and blue
The two lines intersect each other at (4 , 7)
Step-by-step explanation:
∵ y > 1/4 x + 6 ⇒ y = 1/4 x + 6
∵ y > 2x - 1 ⇒ y = 2x - 1
∴ 2x - 1 = 1/4 x + 6
∴ 2x - 1/4 x = 6 + 1
∴ 7/4 x = 7 ⇒ x = 7 ÷ 7/4
∴ x = 4
∴ y = 2(4) - 1 = 7
∴ The two lines intersect each other at (4 , 7)
∴ The solution is any point in the common part of red and blue
Answer this question please thanks
Answer:
The answer is D
Step-by-step explanation:
8% of 550 is 44
44 + 550 = 594
Answer:
D) $594
Step-by-step explanation:
550 x 1.08 = 594. You're multiplying by 1.08 because of the 8% tax added onto the original price.
What will be the result of substituting 2 for x in both expressions below!
PLZ HELP!!
Answer:
A
Step-by-step explanation:
edge
given that (ax^2 + bx + 3) (x + d) = x^3 + 6x^2 + 11x + 12
a + 2b - d = ?
Answer:
Let's solve for a.
(ax2+bx+3)(x+d)=x3+6x2+11x+12a+2b−d
Step 1: Add -12a to both sides.
adx2+ax3+bdx+bx2+3d+3x+−12a=x3+6x2+12a+2b−d+11x+−12a
adx2+ax3+bdx+bx2−12a+3d+3x=x3+6x2+2b−d+11x
Step 2: Add -bdx to both sides.
adx2+ax3+bdx+bx2−12a+3d+3x+−bdx=x3+6x2+2b−d+11x+−bdx
adx2+ax3+bx2−12a+3d+3x=−bdx+x3+6x2+2b−d+11x
Step 3: Add -bx^2 to both sides.
adx2+ax3+bx2−12a+3d+3x+−bx2=−bdx+x3+6x2+2b−d+11x+−bx2
adx2+ax3−12a+3d+3x=−bdx−bx2+x3+6x2+2b−d+11x
Step 4: Add -3d to both sides.
adx2+ax3−12a+3d+3x+−3d=−bdx−bx2+x3+6x2+2b−d+11x+−3d
adx2+ax3−12a+3x=−bdx−bx2+x3+6x2+2b−4d+11x
Step 5: Add -3x to both sides.
adx2+ax3−12a+3x+−3x=−bdx−bx2+x3+6x2+2b−4d+11x+−3x
adx2+ax3−12a=−bdx−bx2+x3+6x2+2b−4d+8x
Step 6: Factor out variable a.
a(dx2+x3−12)=−bdx−bx2+x3+6x2+2b−4d+8x
Step 7: Divide both sides by dx^2+x^3-12.
a(dx2+x3−12)
dx2+x3−12
=
−bdx−bx2+x3+6x2+2b−4d+8x
dx2+x3−12
a=
−bdx−bx2+x3+6x2+2b−4d+8x
dx2+x3−12
Answer:
a=
−bdx−bx2+x3+6x2+2b−4d+8x/
dx2+x3−12
Step-by-step explanation:
Express the given sums using sigma notation.
2/5+4/9+6/13+....+20/41
Answer:
олвововововлвлвлвлвлвлввлвлв
Answer:
[tex]\begin{array}{ccc}&10&&&\Sigma&\frac{2n}{4n + 1}&&n=1&\end{array}[/tex]
Maya drove 110 miles in 5 hours. If she continued at the same rate, how long would it take to travel 176 miles?
Answer:
8 hours
Step-by-step explanation:
110 miles ................. 5 hours
176 miles ..................x hours
x = 176×5/110 = 880/110 = 8 hours
I do not know how to solve this problem
Answer:
First you have to take a sleep
The Chapin Social Insight Test evaluates how accurately the subject appraises other people socially. In the reference population used to develop the test, scores are approximately normally distributed with mean 25 and standard deviation 5. The range of possible scores is 0 to 41. a) What proportion of subjects in the population will have scores above 31
Answer:
0.11507
Step-by-step explanation:
Given that:
Mean (m) = 25
Standard deviation = 5
Proportion of subject in the population with score above 31
P(x > 31)
Obtain the standardized score of x = 31
Zscore = (x - m) / s
Zscore = (31 - 25) / 5
Zscore = 6 / 5
Zscore = 1.2
Hence, p(Z > 1.2)
Using the Z probability calculator :
p(Z > 1.2) = 0.11507
please hepl???
I will mark brainliest
Answer:
x = 59
Step-by-step explanation:
180 = 73 + x + (x-11)
180 - 73 + 11 = 2x
118 = 2x
x = 118/2
x = 59
how to get 435 with 100,50,25,10,5,1
Answer:
You can't get 435 with addition
Step-by-step explanation:
But if you can use multiplication and addition
50 times 5 = 250
250 plus 50 = 300
300 plus 100 = 400
400 plus 25 = 425
425 plus 10 = 435
Answer:
50*6 + 100 +25 + 10 =435
Step-by-step explanation:
Ariza paid $13.50 for 10 bottles of juice. Each bottle costs the same price. What is the price of one bottle of juice? $0.14 $0.74 $1.35 $3.50
Answer:
1.35
Step-by-step explanation:
13.50 divided by 10 = 1.35
y is inversely proportional to the cube of x if y = 7 when x=4 what is y when x is 5
Answer:
y = 3.584
Step-by-step explanation:
Given
Variation = Inverse Proportional
When y = 7, x = 4
Required
Find y when x = 5
First, we need to represent the variation.
y varies inversely proportional to x³
This implies that
y ~ 1/x³
Convert variation to equation
y = k/x³
Make k the subject
k = x³y
When y = 7, x = 4
This gives:
k = 4³ * 7
k = 64 * 7
k = 448
To determine the value of y when x = 5;
We make use of y = k/x³
Substitute 5 for x and 448 for k
y = 448/5³
y = 448/125
y = 3.584
what ratio is equivalent to 15/40?
Answer:
well for me
Step-by-step explanation:
I think it's 3/8
how many number of permutations are in the word : entree
Answer:
120
Step-by-step explanation:
entree has 6 letters so 6! in numerator and e repeated 3 times so 3! in denominator.
William’s car used 2 gallons to travel 68 miles. How far can he travel on 9 gallons?
Answer:
306 miles
Step-by-step explanation:
68 / 2 = 34 miles on one tank of gas
34 x 9 = 306 miles
Find two numbers . A and B , that have the product of 64and the sum of 16
Answer:
8 and 8
Step-by-step explanation:
8+8 = 16
8*8=64
In a random sample of 400 items where 82 were found to be defective, the null hypothesis that 20% of the items in the population are defective produced ZSTAT=+0.25. Suppose someone is testing the null hypothesis H0: π=0.20 against the two-tail alternative hypothesis H1: π≠0.20 and they choose the level of significance α=0.01. What is their statistical decision? What is the statistical decision? Determine the p-value. The p-value for the given ZSTAT is p-value=nothing. (Type an integer or a decimal. Round to three decimal places as needed.)
Answer:
Z - statistic = 0.25
P-value
P(Z=0.25) = 0.802587
The result is not significant at p<0.01
Step-by-step explanation:
Step(i):-
Given the random sample size 'n'' = 400
A random sample of 400 items where 82 were found to be defective
Sample proportion
[tex]p = \frac{x}{n} = \frac{82}{400} = 0.205[/tex]
Given Population proportion
P = 0.20
Null Hypothesis : P = 0.20
Alternative Hypothesis : P≠ 0.20
Step(ii):-
Test statistic
[tex]Z = \frac{p-P}{\sqrt{\frac{PQ}{n} } }[/tex]
[tex]Z = \frac{0.205-0.20}{\sqrt{\frac{0.20X0.80}{400} } }= \frac{0.005}{0.02} =0.25[/tex]
Z - statistic = 0.25
Level of significance =0.01
P-value
P(Z=0.25) = 0.802587
Conclusion:-
The result is not significant at p<0.01
Would someone like to help me with 5 math problems?
Determine S44 of the arithmetic series 1 + 4 + 7 + 10 + ...
9514 1404 393
Answer:
2882
Step-by-step explanation:
The sum of an arithmetic series is given by ...
[tex]S_n=\dfrac{n(2a_1+d(n-1))}{2}[/tex]
For a1 = 1, d = 3, n = 44, we can fill in the values and do the arithmetic:
[tex]S_{44}=\dfrac{44(2(1)+3(44-1)}{2}=22(2+3\cdot43)\\\\\boxed{S_{44}=2882}[/tex]
For every 1,000 pounds of water in the ocean, there are 35 pounds of salt. If a person takes 173 pounds of ocean water, how much salt will he have?(tell me which letter, and explain why)
A: 605 pounds
B: 7.03 pounds
C: 6.06 pounds
D: 7 pounds
Answer:
C. 6.06
Step-by-step explanation:
173/1000=.173
.173*35== 6.06
What are the x - and y-intercepts of the equation 5x + 3y = 15 ?
The x-intercept is
The y-intercept is
Answer and Explanation:
The intercepts of the equation 5x + 3y = 15 are (3,0) and (0,5).
Question 1) In an auditorium, there are 22 seats in the first row and 28 seats in the second row. The number of seats in a row continues to increase by 6 with each additional row. A) Write an iterative rule to model the sequence formed by the number of seats in each row. Show your work. (B) Use the rule to determine which row has 100 seats. Show your work. ( No Plagiarism and only answer if you know how to work this problem out. Will Mark Brainliest).
It's forming an A. P. because each succeeding Te rm increases by a common value i. e. 6 here.
The A. P is
22,28,34,.....
So the n th term will be represented as
a+(n-1)d,
where a=22
And d=6
Now in (b) part the n th term is given i. e. 100
So by putting in the given values we could easily found the value of n
n=(100-22)/6=78/6=13
So the 13th term will be 100
Hope You Got It.
A system of equations is graft on the grid
Which system of equations does the graph represent?
A. y = x - 4
y = 0.5x – 2
B. y=-x+4
y= 0.52x + 2
C. y= -2 - 4
y=0.5x – 2
D. y= x +4
y = -0.5x + 2
A researcher is interested in the relationship between time spent browsing items in an online store and the total amount purchased from the store. The researcher selects a random sample of visitors to the online store and records the time spent browsing and the total amount of their purchase. The researcher will conduct a t-test for the slope of a regression line, where time spent browsing is the explanatory variable and total amount of purchase is the response variable. Which of the following would be an indication that the normality condition has been met?
A. A sample size that is less than 30
B. A histogram of the residuals that is centered at 0 and strongly right skewed
C. A dotplot of the residuals that is centered at 0, unimodal, and symmetric
D. A boxplot of the residuals that is centered at 100 and does not provide evidence of skewness or outliers
E. A scatterplot where total amount of purchase is the explanatory variable and time spent browsing is the response variable
Answer:
C
Step-by-step explanation:
AP Classroom