Answer:
t = 2 1/6
1/5 t + 2/5 = 5/6
Step-by-step explanation:
1/5 (t + 2) = 5/6
Multiply each side by 5
t+2 = 5*5/6
t+2 = 25/6
Subtract 2 from each side
t+2 -2 = 25/6 -12/6 ( using the same denominator)
t = 13/6 = 2 1/6
We can also distribute
1/5 t + 2/5 = 5/6
Subtract 2/5 from each side
1/5t = 5/6 -2/5
Get a common denominator
1/5t =25/30 - 12/30
1/5t = 13/30
Multiply each side by 5
t = 13/30 *5
t = 13/6
ANSWER : t = 2 1/6
1/5 t + 2/5 = 5/6
Step-by-step explanation:
1/5 (t + 2) = 5/6
Multiply each side by 5
t+2 = 5*5/6
t+2 = 25/6
Subtract 2 from each side
t+2 -2 = 25/6 -12/6
t = 13/6 = 2 1/6
We can distribute
1/5 t + 2/5 = 5/6
Subtract 2/5 from each side
1/5t = 5/6 -2/5
Get common denominator
1/5t =25/30 - 12/30
1/5t = 13/30
Multiply each side by 5
t = 13/30 *5
t = 13/6
What values of a and b make the equation true?
V648 =V2^a 3^b
1. a = 3, b = 2
2. a = 2, b = 3
3. a = 3, b = 4
4. a = 4, b = 3
Answer:
3
Step-by-step explanation:
[tex]\sqrt{648} =\sqrt{2 * 2 * 2 * 3 * 3 * 3 * 3} \\\\=\sqrt{2^{3}*3^{4}}[/tex]
a = 3 & b =4
Which function will have a y-intercept at –1 and an amplitude of 2?
f (x) = negative sine (X) minus 1
f (x) = negative 2 sine (x) minus 1
f (x) = negative cosine (x)
f (x) = negative 2 cosine (x) minus 1
Answer:
Options B and D.
Step-by-step explanation:
The general form of sine function
[tex]h(x)=A\sin (Bx+C)+D[/tex]
where, |A| is amplitude, [tex]\frac{2\pi}{B}[/tex] is period, [tex]\frac{-C}{B}[/tex] is phase shift and D is y-intercept.
The general form of cosine function
[tex]h(x)=A\cos (Bx+C)+D[/tex]
where, |A| is amplitude, [tex]\frac{2\pi}{B}[/tex] is period, [tex]\frac{-C}{B}[/tex] is phase shift and D is y-intercept.
In function, [tex]f(x)=-\sin x-1[/tex]
Amplitude : [tex]|A|=1[/tex]
y-intercept : -1
In function, [tex]f(x)=-2\sin x-1[/tex]
Amplitude : [tex]|A|=2[/tex]
y-intercept : -1
In function, [tex]f(x)=-\cos x[/tex]
Amplitude : [tex]|A|=1[/tex]
y-intercept : 0
In function, [tex]f(x)=-2\cos x-1[/tex]
Amplitude : [tex]|A|=2[/tex]
y-intercept : -1
Therefore, the correct options are B and D.
Answer:
B
Step-by-step explanation:
edge2020 quiz
HELP ASAP WILL MARK BRAINLIEST
IF YOU DONT KNOW DONT ANSWER
Answer:
c is 120 degrees
I really need to solve this quick.
Answer:
a)
Theoretical: 10/30 = 1/3
Experimental: 12/30 = 6/15
Step-by-step explanation:
the theoretical probability is if every number was rolled an equal amount of times. as there are 3 options and a number was chosen 30 times, if we divide 30 by 3 we will get the theoretical probability of choosing a 2
30 ÷ 3 = 10
the theoretical probability = 10/30 or simplified 1/3
the experimental probability is the result when one of the numbers from
1 to 3 were actually randomly selected 30 times. the chart shows that the 2 was selected 12 times out of 30 therefore the experimental probability = 12/30 or simplified 6/15
Theoretical:
fraction: 1/3
decimal: 0.33∞
percentage: 33%
Experimental:
fraction: 6/15
decimal: 0.4
percentage: 40%
I hope this was helpful :-)
If g(x) = x^2, find g (3)
Answer:
g(3)=9
Step-by-step explanation:
We want to find what g(x), or y is, when x is equal to 3.
Therefore, we can substitute 3 in for x in the equation
g(x)=x^2
g(3)=3^2
Evaluate the exponent
g(3)=3*3
g(3)=9
Olivia flips a two-sided counter and then spins a spinner with six equal-size sections labeled 1 through 6. One side of the counter is red. The other side is yellow. She performs this experiment 80 times. The relative frequency of tossing red and spinning a number greater than three was 25 . What is the difference between the number of expected outcomes and the number of actual outcomes?
Answer:
The difference between the number of expected outcomes and the number of actual outcomes = 5
Step-by-step explanation:
She tosses a two sided counter and spins a spinner with six equal sized sections numbered 1 to 6.
Probability of the counter landing on either of the two sides is exactly = (1/2)
Probability of the counter landing on the red side = (1/2)
Probability of the spinner landing in a region greater than 3 = Probability of the spinner landing in a region of 4, 5 or 6. = (3/6) = (1/2)
In one toss and spin, the probability of a toss landing on red and the spinner landing on a number greater than 3 = p = (1/2)×(1/2)
p = (1/4)
Expected number of times that a toss will land on a red and a spinner will land on a number greater than 3 in 80 trials
= np = 80 × (1/4) = 20
Number of actual times that the toss lands on a red and a spinner lands on a number greater than 3 in 80 trials = 25
The difference between the number of expected outcomes and the number of actual outcomes = 25 - 20 = 5
Hope this Helps!!!
−2y<8
y<−8
y<−4
y>−8
y>−4
Answer:
y > -4
Step-by-step explanation:
−2y<8
Divide each side by -2, remembering to flip the inequality since we are dividing by a negative
-2y/-2 > 8/-2
y > -4
Answer:
Last option
y > -4
Step-by-step explanation:
-2y < 8
Switch sides
-8 < 2y
-4 < y
Or
y > -4
What is the solution to the equation = 3?
x = 1
x = 3
x = 9
x = 27
Multiply both sides by 9.
x/9 = 3
(x/9) * (9) = (3) * (9)
x=27
The solution of the expression x/9 = 3 is,
⇒ x = 27
What is Multiplication?To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
We have to given that;
The expression is,
⇒ x/9 = 3
Now, Simplify the expression as;
⇒ x/9 = 3
Multiply by 9, we get;
⇒ 9 × x/9 = 9 × 3
⇒ x = 27
Thus, The solution is,
⇒ x = 27
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What is the probability that out of 75 babies born, at least 37 will be girls?
Assume that boys and girls are equally probable, and round your answer to
the nearest tenth of a percent.
O
o
A. 50.0%
59.1%
49.3%
D. 40.9%
o
Answer:
49.3%
Step-by-step explanation:
37 / 75 = 49.3%
The answer is 49.3%.
Probability is the ratio of the number of outcomes in an exhaustive set of equally likely outcomes that produce a given event to the total number of possible outcomes.
How to find that at least 7 will be girls?
Given that 75 babies are born assume that boys and girls are equally probable.
Then the probability that at least 37 will be girls is
37 / 75 = 49.3%.
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Which expression means the same as "subtract 3 from 7 and then multiply
by 4"?
4* (7 - 3)
4 x 7 - 3
7 - 3 x 4
7- (3 * 4)
Answer:
A 4* (7 - 3)
Step-by-step explanation:
Let's do this part by part. First we have "subtract 3 from 7:" this means we are taking 3 out of 7.
7 - 3
Next we have "then multiply by 4." So we need to take the above quantity and multiply the whole thing by 4.
(7-3) x 4
or
4 * (7-3)
The answer is A.
Classify the following triangle as acute, obtuse, or right.
40°
90°
50"
O A. Acute
O B. Right
O C. Obtuse
D. None of these
Answer:
B. 90
Step-by-step explanation:
In a triangle if one of the angle is 90 deg the triangle is said to be a RIGHT ANGLED TRIANGLE.
Hope this helps, Pls Mark me as Brainliest!!!
Given triangle is a right-angle triangle. option B is correct.
What are the properties of Triangle?The properties of the triangle are:
1. The sum of all the angles of a triangle (of all types) is equal to 180°.
2. The sum of the length of the two sides of a triangle is greater than the length of the third side.
3. In the same way, the difference between the two sides of a triangle is less than the length of the third side.
A triangle is said to have a right angle if one of its angles is precisely 90 degrees. There are several techniques to spot a right angle triangle, including:
Take a look at the icon: A little square positioned in the corner of an angle serves as the symbol in geometry for a right angle. If you observe this symbol in one of a triangle's angles, the triangle is a right-angle triangle since the angle is a right angle.Another technique to tell if a triangle has right angles is to measure the angles with a protractor. The triangle is a right-angle triangle if one of the angles is exactly 90 degrees.Use the Pythagorean Theorem: The Pythagorean Theorem states that in a right-angle triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.Therefor, the given triangle is a right-angle triangle.
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Anna takes 2 minutes to perform each exercise of her workout routine at the gym. She has already been at the gym for 20 minutes and wishes to be there no longer than 1 hour in total. Anna wonders if she has time to do 18 more exercises.
(1.) Write an inequality to find the maximum number of exercises x Anna can perform without leaving the gym later than she planned.
(2.) Does Anna have time to do 18 more exercises. Explain.
Answer:
1. 20 + 2x ≤ 60
2. Yes, see explanation
Step-by-step explanation:
Let x equal the amount of exercises Anna can perform.
The inequality will look like this:
20 + 2x ≤ 60
Let's go over each of the values and why there in the equation.
20: The amount of minutes Anna has already spent in the gym
2: The amount of minutes per exercise
x: The amount of exercises Anna can perform
≤: The amount of exercises must be less than or equal to the amount of time Anna is willing to spend in the gym.
60: The amount of minutes in an hour; the amount of time Anna is willing to spend at the gym.
Now, plug in 18 for x for question 2.
20 + 2(18) ≤ 60
Evaluating 2*18, the inequality becomes 20 + 36 ≤ 60.
Evaluating 20 + 36, the inequality becomes 56 ≤ 60.
Since 56 is less than 60, we can determine that Anna has time to do 18 more exercises.
wil give bianleast
Find the first term in the pattern with the formula: 40 • 6n – 1.
40
0
1440
240
Step-by-step explanation:
I think 40 should be the first term in the sequence because it is given 40.. 6n - 1
How to do the problem and what the answer is this thing is due today(30 points!)
Answer:
40°
Step-by-step explanation:
complementary angels makes the sum of two angles = 90°
so
<ABC + < CBD = 90°
if <ABC = 50°
then 90° - 50° = 40°
A 90% confidence interval for a proportion is found to be (0.22, 0.28). What is
the sample proportion?
Answer:
The sample proportion is 0.253.
Step-by-step explanation:
We are given that a 90% confidence interval for a proportion is found to be (0.22, 0.28).
Firstly, as we know that the confidence interval for sample proportion is calculated as;
90% confidence interval = Sample proportion [tex]\pm[/tex] Margin of Error
Here, let [tex]\hat p[/tex] = sample proportion
Also, the level of significance = 1 - 0.90 = 0.10 or 10%
And, the critical value of z at 5% (two-sided) level of significance is 1.645.
So, 90% confidence interval = [tex]\hat p \pm 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex]
(0.22 , 0.28) = [tex]\hat p \pm 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex]
This means;
0.22 = [tex]\hat p - 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex] -------------- [Equation 1]
0.28 = [tex]\hat p + 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex] -------------- [Equation 2]
From equation 1 and 2, we get;
[tex]0.22 + 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }= 0.28 - 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex]
[tex]1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} } + 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }= 0.28 -0.22[/tex]
[tex]2 \times 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} } =0.06[/tex]
[tex]\sqrt{\frac{\hat p(1-\hat p)}{n} } =\frac{0.06}{2 \times 1.645}[/tex]
[tex]\sqrt{\frac{\hat p(1-\hat p)}{n} } =0.02[/tex]
Now, squaring both sides, we get;
[tex]{\frac{\hat p(1-\hat p)}{n} } =0.0004[/tex]
[tex]n ={\frac{\hat p(1-\hat p)}{0.0004} }[/tex]
Now, putting value of n in equation 1, we get;
0.22 = [tex]\hat p - 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{n} }[/tex]
0.22 = [tex]\hat p - 1.645 \times \sqrt{\frac{\hat p(1-\hat p)}{\hat p(1-\hat p)}\times 0.0004 }[/tex]
0.22 = [tex]\hat p - 1.645 \times \sqrt{ 0.0004 }[/tex]
0.22 = [tex]\hat p -( 1.645 \times 0.02)[/tex]
0.22 = [tex]\hat p -0.033[/tex]
[tex]\hat p = 0.22 + 0.033[/tex] = 0.253
Therefore, the sample proportion [tex]\hat p[/tex] is 0.253.
The reference angle for an angle whose measure is -440° is _____.
Answer:
The reference angle is the acute angle formed by the terminal side of an angle in standard position and the x-axis
Step-by-step explanation:
-440° will be in the 1st quadrant
We solve by adding 360° to it till it becomes positive
-440°+360°= -80°
-80°+360°=280°
The equivalent value will become
360°-280°= 80°
Answer:
The reference angle for an angle whose measure is -440° is 80°.
Step-by-step explanation:
The cycles for angles range from the traditional 0° to 360° and subsequent 360° ranges befor and after this traditional intervals, also have the same properties.
So, the ranges that exist and correspond to the traditional 0° to 360° include
0° to 360°
360° to 720°
720° to 1080°
And in the negative direction, we have
-360° to 0°
-720° to -360°
We can see that -440 is in the range of
-720° to -360°
Using the traditional 0° to 360° to compare this range of -720° to -360°, let x represent the reference angle in the traditional range that we require.
-720° ------ 0°
-440° ------ x
-360° ------ 360°
Using interpolation,
[-440° - (-720°)]/[-360° - (-440°)] = (x - 0°)/(360° - x)
(280/80) = x/(360-x)
3.5 = x/(360-x)
3.5(360 - x) = x
1260° - 3.5x = x
4.5x = 1260°
x = (1260°/4.5) = 280°
But, the reference angle is the smallest angle that one can make from the terminal side of an angle (that is, where the angle ends) with the x-axis. It uses the x-axis as its frame of reference.
So, 280° is a fourth quadrant angle, whose equivalent in the first quadrant is 360° - 280° = 80°
Hope this Helps!!!
Which values are solutions to the any quality below
check all that apply
Answer:
B, C, E, F
Step-by-step explanation:
x^2 >= 49
A. 6: 6^2 = 36 No
B. 20: 20^2 = 400 Yes
C. -7: (-7)^2 = 49 Yes
D. -5: (-5)^2 = 25 No
E. -16: (-16)^2 = 256 Yes
F. 7: 7^2 = 49 Yes
Max Spent his allowenc on snacks at the gas station.he brought 3 packs of gum $1.29 each and two candy bars at $0.89 how much did he spend in all
Answer:
$5.65
Step-by-step explanation:
1.29 x 3 + 0.89 x 2= $5.65
:3
Mark scored an 88 on his first test, an 84 on his second test, a 94 on his third rest, and an 86 on his fourth test. If Mark wants a test score average of 90, what must he score on his fifth test?
Answer:
He has to get a 98 on his last test
Step-by-step explanation:
Which equation is the BEST fit for the data in the table?
Answer:
C
Step-by-step explanation:
It cannot be A because it is a parabola, and what that means is the x^2. So, we can immediately eliminate that. This is because if you do a sketch of it it was the "U" shape. I am not positive, but I think that it is C because of the pattern going on in the y-coordinate. It goes +2, +4, then presumably +6. So then the (0,y) is (0,12). This would mean that the equation would end with +12. That is why C is the best choice. I hope that answered your question, and is correct!
Which graph represents the function ) = -2-1
Answer:
negative 3
Step-by-step explanation:
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Marcus realized that he misplaced his credit card and that it may have been stolen. He was worried that it could be misused. He called the credit
card company and notified them that the card had been misplaced. A few hours later, he got a text message stating that a purchase of $1,650
had been made using his card. He called the credit card company again and reported this fraudulent transaction. He also informed them that he
had notified them the card was missing before the fraudulent transaction was made. The credit card company official reassured Marcus that he would not have to pay this amount. Which law protects Marcus in this scenario?
A. Federal Trade Commission Act
B. Fair Debt Collection Practices Act
C. Fair Credit Billing Act
D. Dodd-Frank Wall Street Reform and Consumer Protection Act
Answer:
C. Fair Credit Billing Act
Step-by-step explanation:PLATO
Which number is divisible by 5
A 44
B 125
C 116
D 114
Answer:
B
Step-by-step explanation:
A shop sells fence panels with a wooden frame going all the way round each panel. The price of each panel is based on the area of the panel and the length of the wooden frame around the panel.
Use the prices given given in the attachment to find out how much the shop charges per square metre of the panel and per metre for the wooden frame .
a) Each 1m² of fence panel costs:?
b) I metre of wooden frame costs:?
Plz answer this question.
Answer:
a) Each 1m² of fence panel costs: £2
b) I metre of wooden frame costs: £1
Step-by-step explanation:
Let the price of 1 sq.m. of fence panel be x
Let the price of 1 m of wooden frame be y
In Fig 1
Length = 4 m
Breadth = 3 m
Area =[tex]Length \times breadth = 4 \times 3 = 12 sq.m.[/tex]
Cost of 1 sq.m. = x
Cost of 12 sq.m. = 12x
Perimeter =2(l+b)=2(4+3)=14 m
Cost of 1 m of wooden frame = y
Cost of 14 m of wooden frame = 14y
We are given that total cost of framing and fencing is 38
So. 12x+14y=38 ----1
In Fig 2
Length = 6 m
Breadth = 2 m
Area =[tex]Length \times breadth = 6 \times 2 = 12 sq.m[/tex].
Cost of 1 sq.m. = x
Cost of 12 sq.m. = 12x
Perimeter =2(l+b)=2(6+2)=16 m
Cost of 1 m of wooden frame = y
Cost of 16 m of wooden frame = 16y
We are given that total cost of framing and fencing is 40
So. 12x+16y=40---2
Substitute the value of 12x form 1 in 2
38-14y+16y=40
2y=2
y=1
Substitute the value of y in 2
12x+16=40
12x=24
x=2
So, cost of 1 sq.m. of fence panel is 2 and cost of 1 m of wooden frame is 1
In fig 3
To verify :
Length = 3 m
Breadth = 5 m
Area = [tex]Length \times breadth = 3 \times 5 = 15 sq.m.[/tex]
Cost of 1 sq.m. = 2
Cost of 12 sq.m. =[tex]15 \times 2 = 30[/tex]
Perimeter =2(l+b)=2(3+5)=16 m
Cost of 1 m of wooden frame = 1
Cost of 16 m of wooden frame = 16
So, Total cost = 30+16=46
We are given that cost of fencing and framing is 46
Thus verified
Hence
a) Each 1m² of fence panel costs: £2
b) I metre of wooden frame costs: £1
the town libary is raising money by selling old books for 4$ each write an equation that can be used to find the amount of money raised if the number of books sold is known.Let x represent the number of books sold and y represent the amount raised.
Answer:
6550
Step-by-step explanation:
You can put this solution on YOUR website!
Call the number of hardcover and paperback books, h and p.
Thus
h + p = 8 and the value equation is
4h + 2p = 26
Now multiply the top one by four and subtract from the second one...we get
4h + 2p = 26
-(4h + 4p = 32)
----------------
-2p = -6
p = 3 so that
h = 5 x + y = 8, (1)
4x + 2y = 26, (2)
where x and y are the numbers of hardcover and softcover books respectively.
To solve, multiply the equation (1) by 2 (both sides) and then distract it from the equation (2). You will get
4x - 2x = 26 - 16, or
2x = 10, or x = 5 - the number of hardcover books purchased.
Then from the equation (1) you get y = 3.
Check. 4*x + 2*3 = 4*5 + 2*3 = 26. OK.
Please help with this
Answer:
C. [tex]c = \frac{-7+-\sqrt{129} }{8}[/tex]
Step-by-step explanation:
Before we start, you can think of the variable "c," as x.
The quadratic formula/equation is:
[tex]x = \frac{-b+-\sqrt{b^2-4ac} }{2a}[/tex]
The setup is:
[tex]ax^2+bx+c=0[/tex]
[tex]4c^2+7c-5=0[/tex]
Plug in the numbers accordingly to the letter associated, like so:
[tex]x = \frac{-7+-\sqrt{7^2-4(4)(-5)} }{2(4)}[/tex]
[tex]x = \frac{-7+-\sqrt{49+80} }{8}[/tex]
[tex]x = \frac{-7+-\sqrt{129} }{8}[/tex]
If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5), (4, 220), and (-2, -20) what would the coefficients a, b, c, and d equal? So confused, I'd greatly appreciate help! Thank you!
Step-by-step explanation:
Step 1: Solve using the first point
(2, 28)
[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]
[tex]28 = 8a + 4b + 2c + d[/tex]
Step 2: Solve using the second point
(-1, -5)
[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]
[tex]-5 = -a + b - c + d[/tex]
Step 3: Solve using the third point
(4, 220)
[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]
[tex]220 = 64a + 16b + 4c + d[/tex]
Step 4: Solve using the fourth point
(-2, -20)
[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]
[tex]-20 = -8a + 4b - 2c + d[/tex]
Step 5: Combine the first and fourth equations
[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]
[tex]8 = 8b + 2d[/tex]
[tex]8 - 8b = 8b - 8b + 2d[/tex]
[tex](8 -8b)/2 = 2d/2[/tex]
[tex]4 - 4b = d[/tex]
Step 6: Solve for c in the second equation
[tex]-5 + 5 = -a + b - c + d + 5[/tex]
[tex]0 + c = -a + b - c + c + d + 5[/tex]
[tex]c = -a + b + d + 5[/tex]
Step 7: Substitute d with the stuff we got in step 5
[tex]c = -a + b + (4 - 4b) + 5[/tex]
[tex]c = -a + b + 4 - 4b + 5[/tex]
[tex]c = -a - 3b + 9[/tex]
Step 8: Substitute d and c into the first equation
[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]
[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]
[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]
[tex]6 / 6 = (6a - 6b) / 6[/tex]
[tex]1 + b = a - b + b[/tex]
[tex]1 + b = a[/tex]
Step 9: Substitute a, b, and c into the third equation
[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]
[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]
[tex]220 - 100 = 60b + 100 - 100[/tex]
[tex]120 / 60 = 60b / 60[/tex]
[tex]2 = b[/tex]
Step 10: Find a using b = 2
[tex]a = b + 1[/tex]
[tex]a = (2) + 1[/tex]
[tex]a = 3[/tex]
Step 11: Find c using a = 3 and b = 2
[tex]c = -a - 3b + 9[/tex]
[tex]c = -(3) - 3(2) + 9[/tex]
[tex]c = -3 - 6 + 9[/tex]
[tex]c = 0[/tex]
Step 12: Find d using b = 2
[tex]d = 4 - 4b[/tex]
[tex]d = 4 - 4(2)[/tex]
[tex]d = 4 - 8[/tex]
[tex]d = -4[/tex]
Answer: [tex]a = 3, b = 2, c = 0,d = -4[/tex]
Answer:
a = 3
b = 2
c = 0
d = -4
Step-by-step explanation:
Form 4 equations and solve simultaneously
28 = a(2)³ + b(2)² + c(2) + d
28 = 8a + 4b + 2c + d (1)
-5 = -a + b - c + d (2)
220 = 64a + 16b + 4c + d (3)
-20 = -8a + 4b - 2c + d (4)
(1) + (4)
28 = 8a + 4b + 2c + d
-20 = -8a + 4b - 2c + d
8 = 8b + 2d
d = 4 - 4b
Equation (2)
c = -a + b + d + 5
c = -a + b + 4 - 4b+ 5
c = -a - 3b + 9
28 = 8a + 4b + 2c + d (1)
28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b
28 = 6a - 6b + 22
6a - 6b = 6
a - b = 1
a = b + 1
220 = 64a + 16b + 4c + d (3)
220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b
220 = 60b + 100
60b = 120
b = 2
a = 2 + 1
a = 3
c = -3 - 3(2) + 9
c = 0
d = 4 - 4(2)
d = -4
Help pleaseeeeeeeeeeeee
Answer:
C. [tex]\frac{21}{25}[/tex]
Step-by-step explanation:
[tex]\frac{8}{10+8+6+9+5+12}[/tex]=[tex]\frac{8}{50} =\frac{4}{25}[/tex]
so to not get a 2, the experimental probability would be [tex]\frac{21}{25}[/tex] or C
Answer:
C 21/25
Step-by-step explanation:
first yo need to add up every single number.
10+8+6+9+5+12=50
than do this
(10+6+9+5+12)/50=42/50=21/25
so the answer will C
A group of friends went to play minigolf at Adventureland. Anna's score was 26 putts, Daniela's score was 313131 putts, Luiza's score was 39 putts, and Vera's score was 32 putts.
Find the mean absolute deviation (MAD) of the data set.
Answer:
3.5
Step-by-step explanation:
1 / 3
First, let's find the mean.
\dfrac{26+31+39+32}{4} = \dfrac{128}{4}= \blueD{32} \text{ putts}
4
26+31+39+32
=
4
128
=32 puttsstart fraction, 26, plus, 31, plus, 39, plus, 32, divided by, 4, end fraction, equals, start fraction, 128, divided by, 4, end fraction, equals, start color #11accd, 32, end color #11accd, start text, space, p, u, t, t, s, end text
Hint #22 / 3
Next, let's find the distance each data point is from the mean.
Data point Distance from the mean
262626 \blueD{32}-26 = 632−26=6start color #11accd, 32, end color #11accd, minus, 26, equals, 6
313131 \blueD{32}-31 = 132−31=1start color #11accd, 32, end color #11accd, minus, 31, equals, 1
393939 39-\blueD{32} = 739−32=739, minus, start color #11accd, 32, end color #11accd, equals, 7
323232 32-\blueD{32} = 032−32=032, minus, start color #11accd, 32, end color #11accd, equals, 0
Hint #33 / 3
The mean absolute deviation (MAD) is the mean of the distances from the mean.
\dfrac{6+1+7+0}{4} = \dfrac{14}{4}= 3.5\text{ putts}
4
6+1+7+0
=
4
14
=3.5 putts I hope it helps.
What is the product of 2x + y and 5x – y + 3?
Answer:10x^2+11xy-6y^2
Step-by-step explanation:
( 2 x + 3 y ) ( 5 x − 2 y ) = 2 x ( 5 x − 2 y ) + 3 y ( 5 x − 2 y )
= 10 x 2 − 4 x y + 15 x y − 6y 2
= 10 x 2 + 11 x y -6 y 2 .
