Answer:
[tex]80 - 4x^2[/tex]
Step-by-step explanation:
Area of a rectangle
A rectangle of width W and length L has an area of:
A = W.L
The given rectangle has a length of L=10 inches and a width of W=8 inches, thus its area is:
A = 8*10 = 80
[tex]A = 80\ in^2[/tex]
If each corner is cut by a square of x*x, then the total area will be:
[tex]A' = 80 - 4x^2[/tex]
The new area is [tex]\mathbf{80 - 4x^2}[/tex] square inches
please help with this
Answer:
[tex]S_{n}[/tex] = n² + 4n ; n = 11
Step-by-step explanation:
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [2 [tex]a_{1}[/tex] + (n - 1)d]
~~~~~~~~~
[tex]a_{1}[/tex] = 5
d = 7 - 5 = 2
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2(5) + 2(n - 1)] = [tex]\frac{n}{2}[/tex] ( 8 + 2n ) = 4n + n²
[tex]S_{n}[/tex] = n² + 4n
n² + 4n = 165
n² + 4n - 165 = 0
(n + 15)(n - 11) = 0 ( n ≥ 0 ) ⇒ n = 11
Can someone help me I appreciate it
Which system of equations has no solution?
A.
y = 7x +5
y = 7x + 5
B.
3x - 5y = 10
-3x + 5y = -10
C.
y = 3x - 2
y = 3x + 5
D.
3x - 5y = 10
-3x - 2y = 20
Answer:
A
Step-by-step explanation:
0.4,0.7,1.0,1.3 what is the sequence rule
Answer:
3 plus 3, that is the sequence
Two fair dice, one yellow and one blue, are rolled. The value of the blue die is subtracted from the value of the yellow die. Which of the following best describes the theoretical probability distribution?
Answer:
symmetric
Step-by-step explanation:
its correct.
Answer:
B symmetric
Step-by-step explanation:
A jar contains 24 blue marbles 16 red marbles and 14 white marbles find the simplified ratio of total marbles to red marbles
Answer:
27:2
Step-by-step explanation:
For a sample size of 55 and a population parameter of 0.2, what is the standard error of the sampling distribution? Round your answer to three
decimal places.
A. 0.028
B. 0.054
C. 0.035
D. 0.043
The standard error of the sampling distribution is given as follows:
B. 0.054.
How to obtain the standard error of the sampling distribution?By the Central Limit Theorem, for a proportion p in a sample of size n, the standard error of the sampling distribution of sample proportions is given as follows:
[tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
The parameter values for this problem are given as follows:
p = 0.2, n = 55.
Hence the standard error is given as follows:
[tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]
[tex]s = \sqrt{\frac{0.2(0.8)}{55}}[/tex]
s = 0.054.
Meaning that the correct option is given by option B.
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at a deli counter, someone bought 1.6 pounds of ham for 14.50. How much will it cost per one pound
Answer:
approx. 9.06 for one pound
Step-by-step explanation:
Part C
Question
Determine the missing values in the table.
Recall that x represents the number of tickets sold and y represents the amount of money earned from ticket sales.
Type the correct answer in each box. Use numerals instead of words.
X
$20
3
6
20
$400
Answer:
40$,160$ & 60
Step-by-step explanation:
First,find the equation using y-y1/ y1-y2=x-x1=x1-x2
y-0/0-20=x-0/0-3
y=20x/3
Now put the values of x& y in the equation, for the 1st one,
y=20×6/3
=40
2nd one.y=20×24/3
=160
3rd one,
400=20x/3
X=400×3/20
=60
The values at different number of tickets and the tickets that can be bought at $400 has been determined.
What is Direct Variation?When a variable varies directly with the other variable, i.e. on increasing one variable the other variable also increases, this relation is called Direct Variation.
Let x represent the number of tickets sold
Let y represent the amount of money earned from ticket sales.
y ∝ x
y = kx
k is the proportionality constant.
The value in the table will be used to determine the value of k,
For 3 tickets, the ticket amount is $20
20 = k * 3
k = 20/3
The relation is given by
y = (20/3) x
For 6 tickets, the value will be,
y = (20/3 ) *6 = $40
For 24 tickets the value will be,
y = (20/3) * 24 = $160
For $400, how many tickets can be bought,
400 = (20/3) * x
400*3 /20 = x
60 tickets can be bought for $400
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HELPPPPPP I DONT GET THIS AT ALL
Answer:
1x1 and 20x32
Step-by-step explanation:
6/8 and 24/40 are they proportional
Answer:
no they are not
Step-by-step explanation:
please help me I'm going to fail if you don't help me
Answer:
B
Step-by-step explanation:
Shigaraki told me
The sum of two consecutive integers is 199. Find the integers
The two consecutive integers will be 99 and 100.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The sum of two consecutive integers is 199.
Let the first number be x and the next consecutive number will be (x + 1). Then the equation will be
x + x + 1 = 199
2x = 199 - 1
2x = 198
x = 198 / 2
x = 99
Then the two consecutive integers will be 99 and 100.
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the force of gravity depends on the distance between objects? true or false
Answer:
True
Step-by-step explanation:
It depends on two factors :mass of the objects and distance between the objects
hope this will help u
n/33 = 4/11
Please select the best answer from the choices provided
A: n = 90 3/4
B: n = 16
C: n = 1 1/3
D: n = 12
Answer: D. n = 12
================================
Work Shown:
n/33 = 4/11
11*n = 33*4 ... cross multiply
11n = 132
n = 132/11 ... divide both sides by 11
n = 12
Answer:
D: n = 12
Step-by-step explanation:
n/33=4/11
we multiply by 33
n=4*33/11
33 can be divided by 11
n=4*3
n=12
solve the following equation for y
x+y=3
9514 1404 393
Answer:
y = 3 -x
Step-by-step explanation:
Subtract x from both sides of the equation.
x -x +y = 3 -x
y = 3 - x
Answer:
y=3-x
explanation
its that
12
Type the correct answer in the box. Use numerals instead of words.
What is the solution to this equation?
7-32 - x = 12
The solution is I =
Reset
Next
What is the solution to the equation 9(x + 2) = 27? (1 point) Group of answer choices x = 2.5 x = 0.5 x = −0.5 x = −3.5
Answer:
Well i got 1
Step-by-step explanation:
because you need to take 9*x and 9*2
9x + 18= 27
-18 -18
9x =9 divide by 9 on each side and get one
dijkstra's algorithm
Step-by-step explanation:
Answer my question....Bdjsdjrrnnrnnddddsnjjejjeje
Your payment is $375 per month for 36 months and you made a $2,500
Answer:
375 times 36
Step-by-step explanation:
A fair coin is tossed 20 times. The probability of getting the three or more heads in a row is 0.7870 and the probability of getting three or more heads in a row or three or more tails in a row is 0.9791.2
What is the probability of getting three or more heads in a row and three or more tails in a row?
Answer:
The value is [tex]P( H \ n \ T ) = 0.6049[/tex]
Step-by-step explanation:
From the question we are told that
The number of times is n = 20
The probability of getting three or more heads in a row is [tex]P(H) = 0.7870[/tex]
The probability of getting three or more heads in a row or three or more tails in a row is [tex]P(H \ u \ T ) = 0.9791[/tex]
Generally given that it is a fair coin , then [tex]P(H) = P(T) = 0.7870[/tex]
Here P(T) is probability of getting three or more tails in a row
Generally the probability of getting three or more heads in a row and three or more tails in a row is mathematically represented as
[tex]P( H \ n \ T ) = P(H) + P(T) - P( H \ u \ T )[/tex]
=> [tex]P( H \ n \ T ) = 0.7870 + 0.7870 - 0.9791[/tex]
=> [tex]P( H \ n \ T ) = 0.6049[/tex]
Simplify the expression and choose the appropriate result.
3(2 + 3g)
If ∧ ASC ≅ ∧ KSC then ∠8 is congruent to which angle?
Answer:
B. angle 5
Step-by-step explanation:
A shoe company wants to test an updated model of a running shoe on its wear after one month of running. They recruit 50 people who run on a regular basis to participate in the study. They will have the runners wear the shoes when they run for two months. After two months, the wear on the shoes will be determined using the depth of the tread and flexibility of the toe box. The wear between the new model and the original model will then be compared. The company decides to use a matched pairs design and devises two options.
Option A: The 50 subjects are paired based on running ability. The fastest two runners are paired together, the next fastest two, etc. For each pair of runners, the researcher will flip a coin. If the coin lands on heads, then the first runner will receive the new model of shoes and the second runner will receive the original model. If the coin lands on tails, the first runner will receive the original model of shoes and the second runner will receive the new model. After 2 months of use, the difference in wear for the pairs of runners will be determined.
Option B: The 50 subjects will each receive both models of shoes. At the beginning, the runner will flip a coin, and if it lands on heads, they will wear the new model on their right foot and the original model on their left foot. Then after one month, they will change and use the new model on their left foot and the original model on their right foot. After the second month, the wear for each model will be determined and compared for the 50 runners.
Which option should the shoe company use to compare the two models?
A: The runners are paired based on their running ability. This will provide an accurate comparison for the difference in wear between the original model and the new model.
B: Each runner varies with respect to multiple variables. Each runner should use both models to account for their individual differences. This will provide an accurate comparison for the difference in wear between the models.
Both A and B: Both provide an accurate comparison for the difference in wear between the original model and the new model. The runners are paired in option A based on running ability, and each runner uses both models in option B.
Neither A nor B: Neither provides an accurate comparison to determine the difference in wear for the two models. This experiment should be a randomized block design.
Answer:
B: Each runner varies with respect to multiple variables. Each runner should use both models to account for their individual differences. This will provide an accurate comparison for the difference in wear between the models.
Step-by-step explanation:
Since the shoe company wants to test the wear of the shoes after two months, it means that option B will be the most accurate.
This because everybody has peculiarities in the bodies and also running patterns. These could have an effect on either of their legs. Thus, having to wear a new one on one leg and the original one on another leg for a month and then replacing with the second leg of both for the other month would be the best way to know the true effect of wear on the shoes because they have both been subject to same conditions within exactly the same timeframe.
Answer:
B
Step-by-step explanation:
got it right
True or False?
The sample space is a collection of outcomes from an event?
Based on a survey, assume that 31% of consumers are comfortable having drones deliver their purchases. Suppose that we want to find the probability that when consumers are randomly selected, exactly of them are comfortable with delivery by drones. Identify the values of n, x, p, and q.
Answer:
P(X = 2) = 0.3157
Step-by-step explanation:
Let assume that the question wants us to determine the probability that, let say when 5 customers are randomly selected, exactly 2 of the customers are comfortable.
Then;
p = 0.31
n = 5; x = 2
q = 1 - p
= 1 - 0.31
= 0.69
∴
The probability mass function is:
[tex]P(X =x) = ^n C_r * p^x *q^{n-x}[/tex]
[tex]P(X =x) = ^5 C_2 * (0.31)^2 *0.69^{5-2}[/tex]
[tex]P(X =2) = \dfrac{5!}{2!(5-2)!} * (0.31)^2 *0.69^{3}[/tex]
[tex]P(X =2) = \dfrac{5!}{2!(3)!} * (0.31)^2 *0.69^{3}[/tex]
[tex]P(X =2) = \dfrac{5*4*3!}{2!(3)!} * (0.31)^2 *0.69^{3}[/tex]
[tex]P(X =2) = \dfrac{5*4}{2!} * (0.31)^2 *0.69^{3}[/tex]
[tex]P(X =2) =10* (0.31)^2 *0.69^{3}[/tex]
P(X = 2) = 0.3157
111.2 please help 20 points!!!!
Answer:
111.2
Step-by-step explanation:
It would just remain 111.2
The square root and the squared cancel out on eachother
For, square roots of number will be what times what gives you that number while squared numbers will give you a number multiplied by utsekf,
Solve forX
9(x + 1) = 25 + x
Ox=2
Ox=3
Ox=4
Ox=5
Answer:
x=2
Step-by-step explanation:
9x+9=25+x
subtract 9 on both sides
9x=16+x
subtract x on both sides
x=2
The solution of equation 9(x + 1) = 25 + x is x =2, which is option A.
What is an equation?An equation is a pair of algebraic equations with the equal sign (=) in the middle and the same value.
Given information:
The equation is 9(x + 1) = 25 + x.
To solve for x, we need to isolate x on one side of the equation.
9(x + 1) = 25 + x
First, we can distribute the 9:
9x + 9 = 25 + x
Next, we can simplify by subtracting x and 9 from both sides:
8x = 16
Finally, we can solve for x by dividing both sides by 8:
x = 2
Therefore, the solution is x = 2.
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The Precision Writing Instruments Company makes two pen designs - the Cordova design and the Savannah design. These data apply, regardless of which of two pen designs is being implemented. Materials cost per pen is $6. Labor cost per pen is $5. Production overhead is
$1,000,000. Advertising and promotion is $1,000,000. Marketing research has estimated the following demand functions for the next year of sales for the two pen designs where Q represents demand in thousands and P represents price. For the Cordova design, Q = 150 - 2.5P. For the Savannah design, Q = 175 - 2.1P. A penetration strategy is proposed for the Savannah design and a price of $25 is selected. What will be the profit or loss for the first year?
9514 1404 393
Answer:
loss of $285,000
Step-by-step explanation:
The demand for the Savannah design is estimated to be ...
Q = 175 -2.1P = 175 -2.1(25) = 122.5 . . . . thousand pens
Then the contribution margin from sales will be ...
122,500($25 -$6 -$5) = $1,715,000
Against a total of $2,000,000 in production and advertising costs, the net will be a loss of ...
$2,000,000 -1,715,000 = $285,000
The first-year loss will be $285,000.
8xn=24x7 what is the missing number?
Answer:
21
Step-by-step explanation:
24 x 7 = 168
168 / 8 = 21
8 x 21 = 168
168 = 168
Answer: 21
You would find this by multiplying the problem you know 24x7 which equals 168.8xn=24x7 which means, 8xn=168. So you would have to divide 168 by 8 n=21