Answer:
112+24x
Step-by-step explanation:
2(16+(10*4)+(x*12))
solve the inner bracket
2(16+40+12x)
solve this bracket
2(56+12x)
solve this now
112+24x
Answer:
\(24x+112\)
Step-by-step explanation:
First of all we will start with the brackets inside the equation,
1. \(2[16+40+12x]\)
Now we can multiply 2 by all the values inside the parentheses
2. \(32+80+24x\)
I just wanted to confirm that the big X is a variable?
Fact: Did you know that there are about 4 types of parenthese: ( ) - round brackets, [ ] - square brackets, { } - curly brackets, and < > - angle bracket.
HELP HELP MATH IS DIFFICULT
Answer:
Belinda is correct
Step-by-step explanation:
A is 115°
180-45 = 135
135÷ 2=67.5
100-67.5 = 32.5
32.5*2 =65
180-65= 115°
Convert 292 km/hr to m/s. Round to 1 decimal.
Answer:
to convert from km/hr to m/s292 × 1000/60 × 60292000/360081.111181.1m/s to 1 decimal placesUse the figure to answer the questions.
(a) Describe the relationship among the lengths of the segments formed by two secants. You may use words and/or and equation.
(b) Suppose CG = 3 in, CH = 2 in, and GE = 5 in, is it possible to find the length of DH? If so, show how to find the length. If not, explain why not.
Help would be appreciated!
Based on the intersecting secants theorem:
a. CG*CE = CH*CD
b. length of DH = 10 in.
What is the Intersecting Secants Theorem?When an exterior point is formed by two secant segments to a circle, the product of the length of one secant segment and its external segment will always be equal to the product of the length of the other secant segment and its external segment, according to the intersecting secants theorem.
a. Based on the intersecting secants theorem, the relationship that describes the lengths of the segments formed by the two secants is:
CG*CE = CH*CD
b. Given the following lengths:
CG = 3 in, CH = 2 in, and GE = 5 in
CE = CG + GE = 3 + 5 = 8 in.
CD = CH + DH = 2 + DH
Substitute into CG*CE = CH*CD:
3*8 = 2*(2 + DH)
24 = 4 + 2DH
24 - 4 = 2DH
20 = 2DH
20/2 = DH
DH = 10 in.
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You know x is a number less than 4. Select all the inequalities that must be true.
x-2 > 2
x+6 < 10
x < 2
5x < 20
x < 8
Answer:
x+6 < 19
5x < 20
x < 8
Step-by-step explanation:
To solve this problem, you have to plug in numbers for every statement to see if it is true or not. You know that x is a number less than 4, so we can use 3 as an example.
x-2 > 2 | ❌
This can be rewritten as 3-2 > 2 (since we are plugging in 3, any number less than 4 works)
That is equal to 1 > 2, which is not correct. One is not larger than two.
x+6 < 19 | ✅
This can be rewritten as 3+6 < 19 (for the same reason as above)
That is equal to 9 < 19. 19 is greater than 9, so this is correct.
x < 2 | ❌
This can be rewritten as 3-2 > 2.
That is equal to 1 > 2, which is wrong.
5x < 20 | ✅
This can be rewritten as 5 x 3 < 20
That is equal to 15 < 20, which is correct. 15 is less than 20.
x < 8 | ✅
This can be rewritten as 3 < 8.
3 is less than 8, so this is correct.
-------------------------
I hope that this was helpful! Have a good day.
)The mean voltage of a battery is 15 and S.D 0.2.Find the probability that four such batteries connected in series will have combined voltage of 60.8 or more volts
The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.
To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.
In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.
The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.
The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.
Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.
First, we need to standardize the value of 60.8 using the formula:
Z = (X - μ) / σ
Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.
In this case, the standardized value is:
Z = (60.8 - 60) / sqrt(0.16)
Z = 0.8 / 0.4
Z = 2
Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.
Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.
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What is the ratio of the length of the longer side to the length of the shorter side?
24 in.
4ft.
option:-
\( \boxed{ \rm{B ) \: 6:1}}\)\( \: \)
Given:-
\( \rm{Length \: of \: rectangle = \bold{ 24in. \: }}\)\( \: \)
\( \rm{Breadth \: of \: rectangle = \bold{ 4ft. }}\)\( \: \)
To find:-
radio of the length of the longer side to the shorter side.\( \: \)
Solution:-
\( \rm{ratio = 24 : 4 }\)\( \: \)
\( \rm\frac{A}{B} = \frac{24}{4} \)\( \: \)
\( \cancel \frac{24}{4} \)\( \: \)
\( \frac{6}{1} \)or
\( \underline{ \boxed{ \rm \red{ \: \: 6 : 1 \: \: }}}\)\( \: \)
━━━━━━━━━━━━━━━━━━━━━━━━━━━━━
~How to find ratio?
Ratios compare two numbers, usually by dividing them. If you are comparing one data point (A) to another data point (B), your formula would be A/B. This means you are dividing information A by information B.━━━━━━━━━━━━━━━━━━━━━━━━━━━━
\( \: \)
hope it helps! :)
How many times greater is the value of a 8 in the hundred millions place than in the ten millions place?
Step-by-step explanation:
80000000 -8000000=72000000 The value of a 8 in the hundred millions place than in the ten millions place is 72000000What is the slope of the line that passes through the points (-4, 0) (-4, -10)
Answer:
The slope is undefined.
Step-by-step explanation:
If the x value stay the same between a set of points, the slope of the line will be undefined.
Please help with this question
I will give 10 points for someone that answers the question correctly.
Answer:
994
Step-by-step explanation:
(7^2 + (18/3 + 2^2))4^2
= (49 + (6 + 4))16
= (49 + 10)16
= (59)16
= 994
what is AE
AB=10
AE=2a + 10
ED=x + 3
CD=4
Enter you answer In the box
The given values into the equation AE = 2a + 10. Therefore, The value of AE is 3 - x.
To find the value of AE, we can substitute the given values into the equation AE = 2a + 10.
Given:
AB = 10
AE = 2a + 10
ED = x + 3
CD = 4
Since AB is a segment on the line, it can be divided into AE and ED. Therefore, AB = AE + ED.
We know that AB = 10 and CD = 4. So, if we subtract CD from AB, we get AE + ED = 10 - 4.
AE + ED = 6.
Now, we can substitute the value of ED, which is x + 3, into the equation: AE + x + 3 = 6.
To find the value of AE, we need to isolate it on one side of the equation. Let's subtract x and 3 from both sides:
AE = 6 - x - 3.
Simplifying further, we get;
AE = 3 - x.
Therefore, the value of AE is 3 - x.
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Name the property used to produce an equivalent expression for 2(6+y)
Solve (x+1)2 =13/4 using the square root property
Answer:
Starting with the equation:
(x + 1)^2 = 13/4
We can use the square root property, which states that if a^2 = b, then a is equal to the positive or negative square root of b.
Taking the square root of both sides, we get:
x + 1 = ±√(13/4)
Simplifying under the radical:
x + 1 = ±(√13)/2
Now we can solve for x by subtracting 1 from both sides:
x = -1 ± (√13)/2
Therefore, the solutions to the equation are:
x = -1 + (√13)/2 or x = -1 - (√13)/2
Step-by-step explanation:
write 2.36 x 10^-3 as a decimal number (ordinary form)
Answer:
0.00236
Step-by-step explanation:
Move the decimal left 3 times as the exponent is negitiave 3
What is the area of this complex figure?
178 m²
128 m²
30 m²
20 m²
Answer: 164
Step-by-step explanation: (16 X 8) + (6 X 5)+ (^^triang)+ 164
Evaluate the expression
Answer:
32
Step-by-step explanation:
4 to the third power is 64
(7-3) = 4
*2
64/4*2 = 32
Hope this helps
Please help me asap
Answer:
To find the inverse interchange the variables and solve for y.
Step-by-step explanation:
f−1(x)=6x−53(1+x)
Factorise fully 6x+8
Answer: To factorize the expression 6x + 8 fully, we can first look for the greatest common factor (GCF) of the two terms. In this case, the GCF is 2.
Step 1: Factor out the GCF:
2(3x + 4)
Now, we have the expression 3x + 4 inside parentheses. This expression cannot be further factorized since there are no common factors other than 1.
Therefore, the fully factorized form of 6x + 8 is:
2(3x + 4)
Step-by-step explanation:)
The factored expression is:
↬ 2(3x + 4)Step-by-step explanation:
To factor the expression, look at its GCF (greatest common factor).
Clearly the GCF of both terms is 2. So what we do next is we divide both terms by 2 :
6x ÷ 2 + 8 ÷ 2The result is :
3x + 4And now the 2 goes outside the parenthesis:
2(3x + 4)Hence, the answer is 2(3x + 4).
Find c. Round to the nearest tenth:
Step-by-step explanation:
what is the question please
What is the relationship between the linear correlation coefficient r and the slope of a regression line?
Answer:
The relationship is that the value of the linear correlation coefficient will always have the same sign as the value of the slope of a regression line.
Step-by-step explanation:
The slope of regression is simply the covariance between X and Y divided by the variance of X i.e Cov(X, Y)/Var X. Whereas, the correlation is the covariance divided by the product of the standard deviation. Thus, we can say that the correlation is the product of the gradient of the regression line and the ratio of the standard deviations.
Thus, it means when the correlation is positive, the slope is also positive and vice versa.
The sign of the correlation coefficient, r, is always the same as that of the slope of the regression line.
Linear Correlation Coefficient and Slope of A Regression LineSlope of a regression line is gotten by dividing the covariance of between X and Y by the variance of X.On the other hand, linear correlation coefficient is gotten by dividing the covariance by the standard deviation.Thus, if the slope of regression line is positive, the correlation coefficient will be positive too and vice versa.Therefore, the sign of the correlation coefficient, r, is always the same as that of the slope of the regression line.
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please help!!!!!!!!!!!!! will give brainliest.
Answer:
x<9 and x>1/13
1/13<x<9
Step-by-step explanation:
First, let's find the value of x in the first equation:
6((x-1)/2-(x-3)/3)<2*6
(3x-3)-(2x-6)<12
3x-3-2x+6<12
x+3<12
x<9
Now, let's find the value of x in the second equation:
13x-1>0
13x>1
x>1/13
Since x has to satisfy both of these, the answer would be x<9 and x>1/13; in other words, 1/13<x<9.
HELP ASAP! HELP ASAP!
Answer:
The answer is b because if you move it to the right you don't go to the other side
Help me out please please
Answer:
490000
Step-by-step explanation:
Substituting \(x=40\),
\(I=-425(40)^2 + 45500(40) - 650000=490000\)
Ratio question I need help with
Answer:
D circumference: diameter
Step-by-step explanation:
The circumference is expressed by dπ while the diameter is "d." Since dπ/d is π, the ratio is π, meaning that D is the answer
pls help me my dads gonna hit me if i dont get this done
Answer:
(I can't answer if its greater than, less than, or equal to because you didn't
specify the number I have to compare to)
2. \(\frac{35}{8}\)
3. greater than
4. \(\frac{1}{9}\)
5. \(\frac{1}{6}\)
6. \(\frac{4}{5}\)
Step-by-step explanation:
Zayn and Attia are thinking of a number each. What is Attia's number? My number is greater than 2. 12 and 20 are multiples of my number. My number is the 11th multiple of Zayn's number.
Answer:
Me: 60
Zayn and Attia: 6
Step-by-step explanation:
12 = 2 × 2 × 3
20 = 2 × 2 × 5
LCM of 12 and 20 = 2 × 2 × 3 × 5 = 60
My number is 60.
Zayn's and Attia's numbers are 6.
Peggy constructed the 95 percent confidence interval (4.8,5.2) to estimate the slope of a regression model for a set of bivariate data with 24 data values. Peggy claims that the width of the confidence interval will increase if a sample size of 30 is used, all other things remaining the same. Quincy claims that the width of the confidence interval will decrease if a sample size of 30 is used. Which statement is true about the claims made by Peggy and Quincy?
А. Peggy's claim is correct.
B. Quincy's claim is correct.
C. Both Peggy's claim and Quincy's claim are correct
D. Neither Peggy's claim nor Quincy's claim is correct.
E. There is not enough information to determine whether the claims are correct.
Answer:
B. Quincy's claim is correct.
Step-by-step explanation:
Margin of error of a confidence interval:
The margin of error of a confidence interval has the following format:
\(M = z\frac{s}{\sqrt{n}}\)
In which z is related to the confidence level, s is the standard error and n is the size of the sample.
From this interval, we have that the margin of error and the sample size are inversely proportional, that is, if we increase the sample size, the margin of error decreases, and so does the width of the confidence interval.
Peggy claims that the width of the confidence interval will increase if a sample size of 30 is used, all other things remaining the same.
Peggy is wrong, as the increase of the sample size results on the decrease of the margin of error, and a decrease of the width.
Quincy claims that the width of the confidence interval will decrease if a sample size of 30 is used.
Margin of error decreases, and so does the width of the interval, thus, Quincy's claim is correct, and the correct answer is given by option b.
the slope-intercept form of 3x + 2y = 5.
What's 9 mil time 400 can you please answer
Answer:
The answer is 3,600,000,000
Step-by-step explanation:
Simply multiply 9,000,000 * 400 which equals 3,600,000,000.
Can someone help !!
2. What is the probability that you select a Jack given that it is a Club?
P(Jack∣Club)=
3. What is the probability that you select a Club given that it is a Jack?
P(Club∣Jack)=
4. What is the probability that you select a card that is NOT a Jack given that it is NOT a Club?
P(NotJack∣NotClub)=
5. What is the probability that you select a card that is NOT a Club given that is it NOT a Jack?
The probability that you select a Jack given that it is a Club P(Jack∣Club) is 1/13.
The probability that you select a Club given that it is a Jack is P(Club∣Jack) is 1/4.
The probability that you select a card that is NOT a Jack given that it is NOT a Club,P(NotJack∣NotClub) is 47/38
The probability that you select a card that is NOT a Club given that is it NOT a Jack is 38/47
The probability that you select a Jack given that it is a Club P(Jack|Club):
There are 4 Jacks in a deck (one for each suit), and since we are given that the selected card is a Club, we only need to consider the 13 cards in the Club suit.
So, the number of favorable outcomes is 1 (the Jack of Clubs), and the total number of possible outcomes is 13 (the number of cards in the Club suit)
P(Jack|Club) = 1 / 13
The probability that you select a Club given that it is a Jack
P(Club|Jack):
P(Club|Jack) = Number of favorable outcomes / Total number of possible outcomes
P(Club|Jack) = 1 / 4
The probability that you select a card that is not a Jack given that it is not a Club
P(NotJack|NotClub):
The number of cards that are not Jacks is 52 - 4 = 48 (since there are 4 Jacks in the deck), and the number of cards that are not Clubs is 52 - 13 = 39 (since there are 13 cards in the Club suit).
P(NotJack|NotClub) = Number of favorable outcomes / Total number of possible outcomes
P(NotJack|NotClub) = (48 - 1) / (39 - 1)
=47/38
P(NotClub|NotJack) = (39 - 1) / (48 - 1)
=38/47
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please help with the BOTTOM QUESTION. due today! will mark as brainliest :))
Answer:
P=12
12=2(w+5)(multiply what's in the brackets with 2)
12=2w+10(take away 10 from each side)
2=2w(divide by 2 from each side)
1=w
do the same for the rest
P=14
2=w
P=16
3=w
P=18
4=w
Step-by-step explanation:
Answer:
\(w=\dfrac{P-10}{2}\)
\(\large\begin{array}{|c|c|c|c|c|}\cline{1-5}P&12&14&16&18\\\cline{1-5}w&1&2&3&4\\\cline{1-5}\end{array}\)
Step-by-step explanation:
Given dimensions of a rectangle:
Width = w unitsLength = 5 unitsTherefore, the expression for the perimeter of the rectangle is:
P = 2(w + 5)To solve for w in terms of P, rearrange the equation to make isolate w:
\(\implies P=2(w+5)\)
\(\implies P=2w+10\)
\(\implies P-10=2w\)
\(\implies \dfrac{P-10}{2}=w\)
\(\implies w=\dfrac{P-10}{2}\)
To create a table of values for P = 12, 14, 16 and 18, substitute these values of P into the equation for w.
\(\begin{aligned}P=12 \implies w&=\dfrac{12-10}{2}\\w&=\dfrac{2}{2}\\w&=1\end{aligned}\)
\(\begin{aligned}P=14 \implies w&=\dfrac{14-10}{2}\\w&=\dfrac{4}{2}\\w&=2\end{aligned}\)
\(\begin{aligned}P=16 \implies w&=\dfrac{16-10}{2}\\w&=\dfrac{6}{2}\\w&=3\end{aligned}\)
\(\begin{aligned}P=18 \implies w&=\dfrac{18-10}{2}\\w&=\dfrac{8}{2}\\w&=4\end{aligned}\)
Table of values
\(\large\begin{array}{|c|c|c|c|c|}\cline{1-5}P&12&14&16&18\\\cline{1-5}w&1&2&3&4\\\cline{1-5}\end{array}\)