Answers
Answer:
j: area= 36
k: area= 72
l: area= unable to solve due to not having both bases.
Step-by-step explanation:
I used the formula : ((a+b)/2)*h
then, I plugged in the numbers in the problem for the variables in the formula. Here is how I solved j:
((a+b)/2)*h = ((5+7)/2)*6 = (12/2)*6 = 6*6 = 36
I solved k the same way but with different numbers because the problem provided different bases and a different height.
Related Questions
6hr.40min.?
Or 1hr 10min
Answers
Answer:1 hr 10 min
Step-by-step explanation:
Consider two x distributions corresponding to the same x distribution. The first x distribution is based on samples of size n = 100 and the second is based on samples of size n = 225. Which x distribution has the smaller standard error?
Answers
Answer:
Hence the correct option is the distribution with n = 225 will have a smaller standard error.
Step-by-step explanation:
Now the standard deviation is
[tex]S.E=\frac{\sigma }{\sqrt{n}}[/tex]
If n = 100 then consider [tex]\sigma =6[/tex]
[tex]S.E=\frac{6}{\sqrt{100}}=0.6[/tex].
If n= 225 then consider [tex]\sigma =6[/tex]
[tex]S.E=\frac{6}{\sqrt{225}}=0.4[/tex].
Here the distribution with n = 225 will have a smaller standard error.
I need help with this question I wanna say the answers B
Answers
Answer:
hi, yes the option B is the correct answer
What is the result of a dilation of scale factor 3 centered at the origin of the line 2y + 3x=10?? PLEASE HELP PLEASEEEEEEEEE
Answers
Given:
The equation of a line is:
[tex]2y+3x=10[/tex]
The line is dilated by factor 3.
To find:
The result of dilation.
Solution:
The equation of a line is:
[tex]2y+3x=10[/tex]
For [tex]x=0[/tex],
[tex]2y+3(0)=10[/tex]
[tex]2y+0=10[/tex]
[tex]y=\dfrac{10}{2}[/tex]
[tex]y=5[/tex]
For [tex]x=2[/tex],
[tex]2y+3(2)=10[/tex]
[tex]2y+6=10[/tex]
[tex]2y=10-6[/tex]
[tex]2y=4[/tex]
Divide both sides by 2.
[tex]y=\dfrac{4}{2}[/tex]
[tex]y=2[/tex]
The given line passes through the two points A(0,5) and B(2,2).
If the line dilated by factor 3 with origin as center of dilation, then
[tex](x,y)\to (3x,3y)[/tex]
Using this rule, we get
[tex]A(0,5)\to A'(3(0),3(5))[/tex]
[tex]A(0,5)\to A'(0,15)[/tex]
Similarly,
[tex]B(2,2)\to B'(3(2),3(2))[/tex]
[tex]B(2,2)\to B'(6,6)[/tex]
The dilated line passes through the points A'(0,15) and B'(6,6). So, the equation of dilated line is:
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-15=\dfrac{6-15}{6-0}(x-0)[/tex]
[tex]y-15=\dfrac{-9}{6}(x)[/tex]
[tex]y-15=\dfrac{-3}{2}x[/tex]
Multiply both sides by 2.
[tex]2(y-15)=-3x[/tex]
[tex]2y-30=-3x[/tex]
[tex]2y+3x=30[/tex]
Therefore, the equation of the line after the dilation is [tex]2y+3x=30[/tex].
What would be the correct answer for this
Answers
Answer:
The answer is B
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
0.99218
Need help practice problem please
Answers
Answer:
I think there is no solution.
Step-by-step explanation:
Substitute:
Z = -3y-5x+25
X = 3y-2z-13
Put into the last formula:
14(3y-2z-13)-2y+3(-3y-5x+25) = 48
Then:
14(3y-2(-3y-5x+25)-13)-2y+3(-3y-5(3y-2z-13)) = 48
So:
14(3y-2(-3y-5(3y-2z-13)+25)-13)-2y+3(-3y-5(3y-2(-3y-5x+25)-13)) = 48
And so on.
Which system of equations represents the matrix shown below?
Answers
Answer:
c
Step-by-step explanation:
2. The set {0,1,-1} is closed under the operation of?
Answers
If the two lines below are perpendicular and the slope of the red line is -2 what is the slope of the green line
Answers
Answer:
Answer. The two lines shown below are perpendicular. If the slope of the red line is , what is the slope of the green line? Slope of the green line = -1/slope of the red line.
Step-by-step explanation:
Answer:
1/2
Step-by-step explanation:
Perpendicular lines have slopes that multiply to -1
-2 * m = -1
Divide each side by -2
m = -1 /-2
m = 1/2
A line that is perpendicular to a line that has a slope of -2 must have a slope of 1/2
A car travels 22 km due south and
then 28 km in a direction 60° east of
south. Find the magnitude of the
car's resultant vector.
Answers
Answer:
Step-by-step explanation:
GIVING OUT BRAINLIEST HELP MEEE PLSS!!
Answers
Answer:
x=7
Step-by-step explanation:
take 30 degree as reference angle
using sin tan rule
tan 30=opposite/adjacent
[tex]\frac{1}{\sqrt{3} }[/tex]=x/[tex]7\sqrt{3}[/tex]
[tex]\frac{1}{\sqrt{3} }[/tex] *[tex]7\sqrt{3}[/tex]
[tex]7\sqrt{3} /\sqrt{3}[/tex]
7=x
[tex]\frac{(csc x+1)(csc x-1)}{csc^2x}\\[/tex]
cscθ·cos^2θ+sinθ= cscθ
Answers
Step-by-step explanation:
[tex]\frac{( \csc x+1)( \csc x-1)}{ \csc ^2x} = \frac{ { \csc }^{2} x - 1}{ \csc^{2} x} \\ = 1 - \sin^{2} x = \cos^{2} x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
b. Since csc theta = 1/sin theta, we can multiply both sides by sin theta and you will end up with
[tex] \cos^{2} \theta + \sin^{2} \theta = 1[/tex]
which is an identity.
8,11,14,17 and you have to find the 74th term
Answers
Answer:
227 is the 74th term of your question.
elimination was used to solve a system of equations. one of the intermediate steps led to the equation 2x= 8. which of the following systems could have led to this equation?
Answers
9514 1404 393
Answer:
C
Step-by-step explanation:
The step shown indicates that y was eliminated from the equations. For choices A, B, D, this is done by adding the equations together (the y-coefficients are opposites). The result of doing that gives x-terms of 4x, 0x, and 0x, respectively. These x-terms do not match the one given: 2x.
For choice C, the y-term is eliminated by subtracting twice the second equation from the first. Doing that gives ...
(4x +2y) -2(x +y) = (14) -2(3)
4x +2y -2x -2y = 14 -6 . . . . eliminate parentheses
2x = 8 . . . . . . . . . . . . . . collect terms
A journal article reports that 34% of fathers take no responsibility for child care. A group of fathers believes that this estimate is too high. In a random sample of 80 fathers, it was found that 23 of those fathers take no responsibility for child care. Is there significant evidence at the 1% significance level that less than 34% of fathers take no responsibility for child care
Answers
Answer:
The p-value of the test is 0.1611>0.01, which means that there is not significant evidence at the 1% significance level that less than 34% of fathers take no responsibility for child care
Step-by-step explanation:
A journal article reports that 34% of fathers take no responsibility for child care. A group of fathers believes that this estimate is too high.
At the null hypothesis, we test if the proportion is of at least 34%, that is:
[tex]H_0: p \geq 0.34[/tex]
At the alternative hypothesis, we test if the proportion is less than that, that is:
[tex]H_1: p < 0.34[/tex]
The test statistic is:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.
0.34 is tested at the null hypothesis:
This means that [tex]\mu = 0.34, \sigma = \sqrt{0.34*0.66}[/tex]
In a random sample of 80 fathers, it was found that 23 of those fathers take no responsibility for child care.
This means that [tex]n = 80, X = \frac{23}{80} = 0.2875[/tex]
Value of the test statistic:
[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]
[tex]z = \frac{0.2875 - 0.34}{\frac{\sqrt{0.34*0.66}}{\sqrt{80}}}[/tex]
[tex]Z = -0.99[/tex]
P-value of the test and decision:
The p-value of the test is the probability of finding a sample proportion below 0.2875, which is the p-value of Z = -0.99.
Looking at the Z-table, Z = -0.99 has a p-value of 0.1611.
The p-value of the test is 0.1611>0.01, which means that there is not significant evidence at the 1% significance level that less than 34% of fathers take no responsibility for child care
Find the equation of a line perpendicular to x+5y=−2 that contains the point (3,0).
Answers
Perpendicular Definition:
[tex] \large \boxed{m_1m_2 = - 1}[/tex]
Slopes of two different equations multiply each others and must equal to -1. We can also say that the perpendicular occurs only if both equations are negative reciprocal to each others. For example, we are given the equation of y = 2x. The perpendicular to y = 2x would be y = (-1/2)x. See how both are reciprocal to each others.
From the equation below:
[tex] \large{x + 5y = - 2}[/tex]
Since the equation is in the form of Ax+By = C. It is better to use the another slope formula which is:
[tex] \large \boxed{m = - \frac{A}{B} }[/tex]
From the equation above, use the slope formula to find the slope.
[tex] \large{m = - \frac{1}{5} }[/tex]
Therefore the equation has a slope of -1/5. Next to find the perpendicular equation to the original equation. Since our slope is -1/5 - that means the negative reciprocal of -1/5 is 5. Therefore the slope of perpendicular line is 5.
Next we will be using the point-slope form below:
[tex] \large \boxed{y - y_1 = m(x - x_1)}[/tex]
Given the y1 and x1 or (x1,y1) are the points. Our perpendicular slope is 5 which passes through the point (3,0). Substitute both slope and the point in.
[tex] \large{y - 0 = 5(x - 3)}[/tex]
Simplify in the slope-intercept form as we get:
[tex] \large{y = 5x - 15}[/tex]
Answer
y = 5x-15 is perpendicular to x+5y = -2Hope this helps and let me know if you have any doubts!
A point particle with charge q is at the center of a Gaussian surface in the form of a cube. The electric flux through any one face of the cube is: _________.
i. q/E0
ii. q/E4Ï€E0
iii. q/4E0
iv. q/6E0
v. q/16E0
Answers
Answer:
iv. q/6E0
Step-by-step explanation:
Electric flux formula:
The electic flux formula, of a charge q is given by, through an entire cube, is given by:
[tex]E = \frac{q}{E_o}[/tex]
In which [tex]E_o[/tex] is a constant related to the material.
The electric flux through any one face of the cube is:
Key-word is face, and a cube has 6 faces, with the force distributed evenly throughout it. Thus
[tex]E_f = \frac{1}{6} \times \frac{q}{E_o} = \frac{q}{6E_o}[/tex]
And the correct answer is given by option iv.
express 4B2.1A6 hexadecimal to Octal?
Answers
Answer:
2262.0646
Step-by-step explanation:
the answer is 2262.0646
When do creative people get their best ideas? USA Today did a survey of 966 inventors (who hold U.S. patents) and obtained the following information.
Time of Day When Best Ideas Occur
Time Number of Inventors
6 A.M.-12 noon
12 noon-6 P.M.
6 P.M.-12 midnight
12 midnight-6 A.M. 295
138
311
222
Assuming that the time interval includes the left limit and all the times up to but not including the right limit, estimate the probability that an inventor has a best idea during each time interval: from 6 A.M. to 12 noon, from 12 noon to 6 P.M., from 6 P.M. to 12 midnight, from 12 midnight to 6 A.M. (Enter your answers to 3 decimal places.)
6AM-12PM 12PM-6PM 6PM-12AM 12AM-6AM
Answers
Answer:
[tex]P(6am-12\ noon) = 0.305[/tex]
[tex]P(12\ noon - 6pm) = 0.143[/tex]
[tex]P(6pm-12\ midnight) = 0.322[/tex]
[tex]P(12\ midnight - 6am) =0.230[/tex]
Step-by-step explanation:
Given
[tex]\begin{array}{cc}{Time} & {Inventors} & {6am - 12\ noon} & {295} & {12\ noon -6pm} & {138} & {6pm - 12\ midnight} & {311} & {12\ midnight - 6am} & {222} & {Total} & {966} \ \end{array}[/tex]
Required
The probability of each time interval
To do this, we simply divide the number of inventors in the interval by the total inventors (966)
So, we have:
[tex]P(6am-12\ noon) = \frac{6am-12\ noon}{Total}[/tex]
[tex]P(6am-12\ noon) = \frac{295}{966}[/tex]
[tex]P(6am-12\ noon) = 0.305[/tex]
[tex]P(12\ noon - 6pm) = \frac{12\ noon - 6pm}{Total}[/tex]
[tex]P(12\ noon - 6pm) = \frac{138}{966}[/tex]
[tex]P(12\ noon - 6pm) = 0.143[/tex]
[tex]P(6pm-12\ midnight) = \frac{6pm-12\ midnight}{Total}[/tex]
[tex]P(6pm-12\ midnight) = \frac{311}{966}[/tex]
[tex]P(6pm-12\ midnight) = 0.322[/tex]
[tex]P(12\ midnight - 6am) =\frac{12\ midnight - 6am}{Total}[/tex]
[tex]P(12\ midnight - 6am) =\frac{222}{966}[/tex]
[tex]P(12\ midnight - 6am) =0.230[/tex]
What is an opposite number?
Answers
Answer:
The opposite of a number is the number on the other side of 0 number line, and the same distance from 0.
Find Use proportion
24 =18/15
21
b
18
20
16
Answers
Answer:
Step-by-step explanation:
Which line is parallel to the line that passes through the points (1,7) and (-3, 4)?
Answers
Answer:
Step-by-step explanation:
i hope you get this helpfull to get answer of this question take the qr code and scan it then you will get the answer
which net represents the pyramid with the greatest surface area
Answers
Answer:
the top one that's orange
A triangular prism has a base area of 12 square centimeters, and a height of 15 centimeters. What is the volume?
Answers
Volume=Area is the base • height
Volume=12•15
Volume=180cm^2
Explanation: Since the area of the base is already given, plug in 12 for the base and 15 for the height, then solve. If the area of the base wasn’t given, use the area formula for a triangle (A=(1/2)bh).
A stadium's normal ticket price is $78. As a special promotion they offer 15% off. What is the price of the discounted
ticket?
Answers
Answer:
$66.3
Step-by-step explanation:
price of a ticket without discount = $78
discount % = 15%
discount amount = ?
price of a discounted ticket = ?
discount amount = discount% of price of a original ticket
=15/100 * $78
=$1170/100
=$ 11.7
price of the discounted ticket = $78 - $11.7
=$66.3
The discounted price of the stadium's normal ticket is $66.3
What is the percentage?A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.
Given, A stadium's normal ticket price is $78 and As a special promotion they offer 15% off.
Therefore, The discounted price of the ticket should be (100 - 15)% = 85% of the original price which is,
= (85/100)×78.
= $66.3 is the discounted price.
learn more about percentages here :
https://brainly.com/question/24159063
#SPJ6
Eleanor scores 680 on the mathematics part of the SAT. The distribution of SAT math scores in recent years has been Normal with mean 569 and standard deviation 106. Gerald takes the ACT Assessment mathematics test and scores 27. ACT math scores are Normally distributed with mean 24.5 and standard deviation 2.4.
Required:
a. What is Elanor's standardized score?
b. What is Gerald's standardized score?
Answers
Answer:
a). 1.05 Elanor's standardized score
b). 1.04 Gerald's standardized score
Step-by-step explanation:
According to the Question,
(a). Given that, Eleanor scores 680 on the mathematics part of the SAT. The distribution of SAT math scores in recent years has been Normal with a mean of 569 and a standard deviation 106.Thus, Elanor's standardized score is
[tex]Z=\frac{x-mean}{standard deviation}[/tex]
Z = (680-569) ÷ 106 ⇒ 111/106 ⇒ 1.047≈1.05
(b). Also Given that, Gerald takes the ACT Assessment mathematics test and scores 27. ACT math scores are Normally distributed with a mean of 24.5 and a standard deviation 2.4.Thus, Gerald's standardized score is
[tex]Z=\frac{x-mean}{standard deviation}[/tex]
Z = (27-24.5) ÷ 2.4 ⇒ 2.5/2.4 ⇒ 1.041≈1.04
what is the row of sum 8192 in Pascal's triangle?
Answers
9514 1404 393
Answer:
row 13
Step-by-step explanation:
The sum of row n is 2^n, so the row number with a particular sum is ...
2^n = sum
n·log(2) = log(sum)
n = log(sum)/log(2)
The row with sum 8192 is ...
n = log(8192)/log(2) = 13
The row of Pascal's triangle that has a sum of 8192 is row 13.
Find the median and mean of the data set below:
10, 43, 20, 11
Answers
Mean: 21
The population standard deviation for the heights of dogs, in inches, in a city is 3.7 inches. If we want to be 95% confident that the sample mean is within 1 inch of the true population mean, what is the minimum sample size that can be taken?
Answers
Answer:
15 dog heights; [tex]n=15[/tex]
Step-by-step explanation:
The formula to be used here is [tex]MOE_\gamma=z_\gamma*\sqrt{\frac{\sigma}{n} }[/tex] where:
[tex]\gamma[/tex] is the confidence level[tex]MOE_\gamma[/tex] is the margin of error for a confidence level[tex]z_\gamma[/tex] is the critical value for the confidence level[tex]\sigma[/tex] is the population standard deviation[tex]n[/tex] is the sample sizeWe are given that:
[tex]\gamma=0.95[/tex][tex]MOE_\gamma=1[/tex][tex]z_\gamma=invNorm(0.975,0,1)=1.96[/tex][tex]\sigma=3.7[/tex]To determine the minimum sample size, [tex]n[/tex], we plug our given values into the formula and solve for
[tex]MOE_\gamma=z_\gamma*\sqrt{\frac{\sigma}{n} }[/tex]
[tex]1=1.96\sqrt{\frac{3.7}{n} }[/tex]
[tex]\frac{1}{1.96}=\sqrt{\frac{3.7}{n} }[/tex]
[tex](\frac{1}{1.96}) ^{2}=\frac{3.7}{n}[/tex]
[tex]n=\frac{3.7}{(\frac{1}{1.96})^{2} }[/tex]
[tex]n=14.21392[/tex]
Don't forget to round up here! This means that [tex]n=15[/tex] actually.
Therefore, if we want to be 95% confident that the sample mean is within 1 inch of the true population mean, the minimum sample size that can be taken is 15 dog heights.
Please mark brainliest if you found my answer and explanation helpful!
Solve this system of linear equations. Separate
the x- and y-values with a comma.
- 10x + 2y = -28
-13x + 3y = -40
Answers
Answer:
[tex] - 10x + 2y = - 28 - - - (a) \\ - 13x + 3y = - 40 - - - (b) \\ 3 \times (a) - 2 \times (b) : \\ - 4x + 0y = - 4 \\ x = 1 \\ ( - 10 \times 1) + 2y = - 28 \\ 2y = - 18 \\ y = -9[/tex]
answer: ( 1, -9 )
