Answers
Answer:
2 and 2
Step-by-step explanation:
Parallel sides of rectangles are congruent, and because the other side of both rectangles is 2, the sides of the triangle are 2 because they share the side with the rectangle.
Related Questions
the length of a rectangle is 4 unit less than the width. which expression represents the perimeter of the rectangle
Answers
Answer:
Length: 11
Width: 5
Step-by-step explanation:
Let W = width
Let L = length
Length is 4 less than 3 times the width ==> L = 3*W - 4
Let P = Perimeter = 2*W + 2*L
Perimeter is 22 more than twice the width ==> P = 2*W + 22
Setting the 2 expressions for the perimeter equal to each other gives
2*W + 2*L = 2*W + 22
2*L = 22
L = 11
So 11 = 3*W - 4
3*W = 15
W = 5
The length is 11 and the width is 5
Check: 3*W - 4 = 11 = Length
Perimeter = 32 = 22 more than 2*5 = 10
What Is the product of the polynomials below? (7x^2+2x+4)(2x+5)
Answers
Answer:
14x^3+39x^2+18x+20
Step-by-step explanation:
Answer:14x^3+39x^2+18x+20
Step-by-step explanation:
(7x^2+2x+4)(2x+5)
14x^3+35x^2+4x^2+10x+8x+20
Add like terms
14x^3+39x^2+18x+20
BRAINLIEST ASAP! LENGTH OF AC?
Answers
Answer:
2.33 units
Step-by-step explanation:
[tex]\tan 25\degree =\frac{AC}{5}\\\\0.46630 = \frac{AC}{5}\\\\AC = 0.46630 \times 5\\AC =2.3315\\AC = 2.33 \: units[/tex]
The electric cooperative needs to know the mean household usage of electricity by its non-commercial customers in kWh per day. They would like the estimate to have a maximum error of 0.12 kWh. A previous study found that for an average family the standard deviation is 1.2 kWh and the mean is 17.9 kWh per day. If they are using a 90% level of confidence, how large of a sample is required to estimate the mean usage of electricity? Round your answer up to the next integer.
Answers
Answer:
A sample size of at least 271 is required.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.05 = 0.95[/tex], so [tex]z = 1.645[/tex]
Now, find the margin of error M as such
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Maxium error of 0.12.
How large of a sample is required to estimate the mean usage of electricity?
We need a sample size of at least n.
n is found when [tex]M = 0.12, \sigma = 1.2[/tex]
So
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
[tex]0.12 = 1.645*\frac{1.2}{\sqrt{n}}[/tex]
[tex]0.12\sqrt{n} = 1.645*1.2[/tex]
[tex]\sqrt{n} = \frac{1.645*1.2}{0.12}[/tex]
[tex](\sqrt{n})^{2} = (\frac{1.645*1.2}{0.12})^{2}[/tex]
[tex]n = 270.6[/tex]
Rounding up
A sample size of at least 271 is required.
(2u + 7)(3u – 1) = 0 solve buy factoring
Answers
Answer:
Factor and set each factor equal to zero.
u = - 7 /2,1/3
I need help with this.
Answers
Answer:
6
Step-by-step explanation:
1.5*4=6
To solve this problem, we'll set up a ratio between the equivalent values.
We know that 1 1/2 pages and 1/4 of an hour are our two values, and assuming that Azi writes at a constant speed, we're able to write this ratio:
1.5 : .25
(I'm just writing with decimals because I find them easier to work with, but decimals or fractions will give you the correct answer.)
Since .25 is 1/4 of an hour, we can multiply this value by 4 to get 1 hour.
Additionally, since this is a ratio, what you do to one side must be done to the other, so 1.5 will also be multiplied by 4.
(1.5 x 4) = (.25 x 4)
6 = 1
Therefore, Azi can type 6 pages in one hour.
Hope this helped! :)
Can someone help me with this
Answers
Answer:
(y-b) /x = m
Step-by-step explanation:
y = mx+b
Subtract b from each side
y -b = mx+b-b
y-b = mx
Divide each side by x
(y-b) /x = mx/x
(y-b) /x = m
A company rents water tanks shaped like cylinders. Each tank has a diameter of 6 feet and a height of 2 feet. The cost is $4 per cubic foot. How much does it cost to rent one water tank?
Answers
Answer:
226.08
Step-by-step explanation:
im pretty sure
Why equals 3/4 X -12 and why equals negative 4X - 31
Answers
Answer:
(x, y) = (-4, -15)
Step-by-step explanation:
Perhaps you want the solution to ...
y = 3/4x -12
y = -4x -31
Equating the two expressions for y gives ...
3/4x -12 = -4x -31
3/4x = -4x -19 . . . . . add 12
3x = -16x -76 . . . . . multiply by 4
19x = -76 . . . . . . . . . add 16x
x = -76/19 = -4 . . . . divide by 19
y = (3/4)(-4) -12 = -15 . . . . use the first equation to find y
The solution to this system of equations is ...
(x, y) = (-4, -15)
Find the area of a semi-circle with radius, r = 83cm.
Give your answer rounded to 1 DP.
Answers
A = (6889 x pi)/2
A = 3444.5 x pi
A = 10.821.2
WHO EVER HELP MES WILL GET BRAINLEST. AND ALL MY POINTS PLZ HELP ME FIND THE AREA OF THIS
Answers
Answer:
5 in^2
Step-by-step explanation:
2x2 for the square = 4 in
1x2/2 for the triangle = 1 in
Answer:
so find the area of the swuare first. 2 times 2 = 4. then you have to add that to the area of the triangle which is 1/2 times base times height. We know that the height is 1 and the base is 2 (from the square's common side shared) so its gonna be 2 times 1 which is 2 divided by 2 which is one soo its 4+1=5
so the answer is 5 inches squared
Step-by-step explanation:
A national survey of companies included a question that asked whether the customers like the new flavor of a cola from company A. The sample results of 1000 customers, and 850 of them indicated that they liked the new flavor. The 98% confidence interval on the population proportion of people who like the new flavor is _______________.
Answers
Answer:
The 98% confidence interval on the population proportion of people who like the new flavor is (0.8237, 0.8763).
Step-by-step explanation:
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
[tex]n = 1000, \pi = \frac{850}{1000} = 0.85[/tex]
98% confidence level
So [tex]\alpha = 0.02[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.02}{2} = 0.99[/tex], so [tex]Z = 2.327[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.85 - 2.327\sqrt{\frac{0.85*0.15}{1000}} = 0.8237[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.85 + 2.327\sqrt{\frac{0.85*0.15}{1000}} = 0.8763[/tex]
The 98% confidence interval on the population proportion of people who like the new flavor is (0.8237, 0.8763).
Concession Stand Prices. A bag of chips is 50 cents, apple is 20 cents, sandwich is 1 dollar, and juice box is 75 cents.
Erica is working the concession stand. She sold 6 bags of chips, 14 apples, and 3 juice boxes. She has $12.05 in the cash register. How many sandwiches has she sold?
3 sandwiches
4 sandwiches
5 sandwiches
6 sandwiches
Answers
Answer:
4
Step-by-step explanation:
bet
Answer:
The Answer is 4 on Edg
Step-by-step explanation:
Mhm
A bakery sells cakes for $23 and a dozen cupcakes for
$18. In one day they sold 72 items and made a total of
$1446. Which system is an appropriate model of the
problem?
A.23x + y = 72
18x+ y = 1446
B.x+y=72
23x18y=4600
C.23x + 18y = 72
x + y = 1446
D. 23x + y = 1446
x + 18y = 72
Answers
Answer:
23x + 18y = 1446
x + y = 72
Step-by-step explanation:
The bakery made $1446 total. We represent this as the cost of each cake ($23) times the number of cakes sold (x) plus the cost of each dozen cupcakes ($18) times the number of cupcakes sold (y).
Thus, 23x +18y = $1446.
The bakery sold 72 items total. We represent this as the number of cakes sold (x) plus the number of each dozen cupcakes sold (y).
Thus, x + y = 72.
Mia has a rectangle shape brownie. She cuts the brownie into 3 equal pieces.Which sentence is true ?
Answers
Answer:
The whole brownie is 3/3
Step-by-step explanation:
Hello!
This is a classic fractions exercise.
The whole brownie was cut in three equal pieces. Each piece represents 1/3 of the brownie.
If you add the three pieces together 1/3+1/3+1/3 you get the whole brownie again 3/3 = 1
-Options-
The whole brownie is 1/3.
The whole brownie is 3/3.
The whole brownie is 2/3.
The whole brownie is 3/2.
I hope this helps!
S. Solve the following system of equations algebraically.
3x-y = 0
5x + 2y = 22
Part II: Combine the two equations to eliminate one of the variables. Show the result of this
combination below. (2 points)
Answers
Answer:
11x = 22(x, y) = (2, 6)Step-by-step explanation:
Twice the first equation can be added to the second to eliminate the variable y.
2(3x -y) +(5x +2y) = 2(0) +(22)
11x = 22 . . . . . . . the result of the combination
__
Solving this gives ...
x = 2
Substituting into the first equation gives ...
3(2) -y = 0
y = 6
The solution is (x, y) = (2, 6).
An instructor at a major research university occasionally teaches summer session and notices that that there are often students repeating the class. On the first day of class, she counts 105 students enrolled, of which 19 are repeating the class. The university enrolls 15,000 students.
1. An estimate of the population proportion repeating the class is given by:
a) 0.0013.
b) 0.007.
c) 0.181.
d)0.046.
2. The instructor wishes to estimate the proportion of students across campus who repeat a course during summer sessions and decides to do so on the basis of this class. Would you advise the instructor against it and why:
a) No, because 105 students is a pretty large class.
b) Yes, because this class is too small.
c) No, because it is completely arbitrary who takes this class.
d) Yes, because this class is not a random sample of students.
3. The standard error for the estimated sample proportion is given by:
a) 0.025.
b) 0.0014.
c) 0.0376.
d) 0.005.
4. A 95% confidence interval is given by:
a) 0.15, 0.23.
b) 0.345, 0.453.
c) 0.107, 0.255.
d) 0.09, 0.272.
5. She hypothesizes that, in general, 10% of students repeat a course. The hypotheses to be tested are:
a) H0:p? =0.181 vs. H?:p=0.1 .
b) H0:p=0.1 vs. H?:p?0.18 .
c) H0:p=0.1 vs. H?:p? =0.181 .
d) H0:p=0.1 vs. H?:p?0.1 .
6. The test statistic for this hypothesis is given by:
a) 2.575.
b) 2.332.
c) 2.765.
d) 1.96.
7. The P?value for this test is:
a) 0.05>P>0.01 .
b) P>0.05 .
c) 0.01>P>0.005 .
d) 0.005>P .
8. Based on the p-value found:
a) we have convincing proof that the proportion of students repeating a class during summer sessions is not 10%.
b) we have strong evidence that the proportion of students repeating a class during summer sessions is not 10%.
c) we have strong evidence that the proportion of students repeating a class during summer sessions is 10%.
d) we have no doubt that the proportion of students repeating a class during summer sessions is not 10%.
Answers
Answer:
Check the explanations
Step-by-step explanation:
According to given information, an instructor at a major research university occasionally teaches summer session and notices that that there are often students repeating the class. On the first day of class, she counts 105 students enrolled, of which 19 are repeating the class. The university enrolls 15,000 students.
Therefore the number of observation n 105 and enrolled x=19
1. An estimate of the population proportion repeating the class is given by:
c) 0.181.
Explanation:
19 --0.18090,181 n 105
2. The instructor wishes to estimate the proportion of students across campus who repeat a course during summer sessions and decides to do so on the basis of this class. Would you advise the instructor against it and why:
d) Yes, because this class is not a random sample of students.
3. The standard error for the estimated sample proportion is given by:
c) 0.0376.
Explanation:
SE [tex](\hat{p})=\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}[/tex]
0.181 × (1-0.181) 105
0,0376 0.0376
4. A 95% confidence interval is given by:
c) 0.107, 0.255.
Explanation:
In order to determine the 95% confidence interval we follow the following step:
Where the z value is determined from the standard normal table as ~ 1.96
[tex]\hat{p}\pm \left [z\times SE(\hat{p}) \right ][/tex]
0.181 ± (1.96 × 0.0376)
0.181 ± 0.0737
Therefore the lower confidence interval is
LCI= 0.181- 0.0737
LCI= 0.107
Therefore the upper confidence interval is
UCI = 0.181 + 0.0737
UCI0.255
Therefore 95% confidence interval is
[tex]\left (0.107,0.255 \right )[/tex]
5. She hypothesizes that, in general, 10% of students repeat a course. The hypotheses to be tested are:
d)[tex]0 :P = 0.10 and H_{a}:p\neq 0.10[/tex]
Explanation:
She hypothesizes that, in general, 10% of students repeat a course. The hypotheses to be tested are defined on the basis of observation,
Null hypothesis as:
[tex]H_{0}[/tex]:p= 0.10
and alternative hypothesis as:
[tex]H_{a}:p\neq 0.10[/tex]
6. The test statistic for this hypothesis is given by:
c) 2.765.
Explanation:
In order to determine the z test statistics as:
Z=[tex]\frac{\hat{p}-p_{0}}{\sqrt{\frac{p_{0}(1-p_{0})}{n}}}[/tex]
0.181 - 0.10 0.10x (1-0.10)
=2.765
7. The P value for this test is:
c) 0.01>P>0.005 .
Explanation:
P value is calculated as:
P(Z > 2.765) 0.002845 for one tail test and
P(Z > 2.765) 0.005692 for two tail test.
8. Based on the p-value found:
b) we have strong evidence that the proportion of students repeating a class during summer sessions is not 10%.
Explanation:
As the z observed is more than the tabulated z value at 95% as:
[tex]Z_{observed}=2.765> Z_{tabulated}=1.96[/tex]
and also P value is less than the [tex]\alpha =1-0.95=0.05[/tex]
[tex]P(Z\geq 2.765)=0.005692< \alpha =0.05[/tex]
Therefore we accept the alternative hypothesis and we may conclude that we have strong evidence that the proportion of students repeating a class during summer sessions is not 10%.
100 POINTS TO ANSWER THIS PLZ HURRY
Answers
Answer:
This is tricky but I think it is A.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
In ΔDEF, the measure of ∠F=90°, DE = 9.4 feet, and EF = 8.4 feet. Find the measure of ∠D to the nearest degree.
Answers
Answer:
63°
Step-by-step explanation:
The sine of an angle is the ratio of the opposite side to the hypotenuse.
Sin = Opposite/Hypotenuse
sin(D) = EF/DE = 8.4/9.4
Using the inverse sine function, we can find the angle:
D = arcsin(8.4/9.4) ≈ 63.33°
∠D ≈ 63°
Two datasets arranged in descending order are; {8,x , 4,1} and {9,y , 5,2}. If the medians of the two given datasets are equal, what is the value of ( y-x)^2?
Answers
Answer:
1Step-by-step explanation:
Median of a dataset is the value at the centre of the dataset after rearrangement.
Given the data {8,x , 4,1}, the median of the set will be two values(x and 4). Since we have two values as the median, we will take their average.
Median of the first data set = x+4/2 ...(1)
For the second dataset {9,y , 5,2}, the median will be y+5/2
Since we are told that the medians of both datasets are equal, we will equate the value of the medians of both datasets as given below;
x+4/2 = y+5/2
cross multiplying;
2(x+4) = 2(y+5)
Dividing both sides by 2 will give;
x+4 = y+5
From the resulting equation;
y-x = 4-5
y-x = -1
(y-x)² = (-1)² = 1
The area of a circle is 286 cm2. Use the π button on your calculator for π in your calculations.
8a
If its radius is r cm, find r, correct to 2 decimal places.
Be careful not to round your answer until the very end.
Answers
Answer:
9.54 cm
Explanation:
area = πr^2
286 cm^2= πr^2
=>πr^2= 286 cm^2
=>r^2= 286÷π
=>r= √286÷π
: 9.54. m
circumference=2πr
=> circumference=2×π×9.54
=60 cm
What is the circumference of the following circle?
3 cm
Answers
Answer:
the circumference is 9.42 cm
Step-by-step explanation:
3.14 · (3 cm)
c = 9.42 cm
hope this helps :-)
solve for x. x+y = 14
Answers
Answer:
There is not enough information to specifically tell you the amount for x
Answer:x=14-y
Step-by-step explanation:
x+y=14
x=14-y
For the arithmetic sequence beginning with the terms {9, 14, 19, 24, 29, 34 ...}, what is the sum of the first 23 terms?
Answers
Answer:
1472
Step-by-step explanation:
The sum of n terms of an arithmetic sequence is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] [ 2a₁ + (n - 1)d ]
where a₁ is the first term and d the common difference
Here a₁ = 9 and d = 19 - 14 = 5 , thus
[tex]S_{23}[/tex] = [tex]\frac{23}{2}[/tex] [ (2 × 9) + (22 × 5) ]
= 11.5 (18 + 110) = 11.5 × 128 = 1472
2x + 3y = 12
Complete the missing value in the solution to the equation.
,8)
Answers
Step by step:
2x + 3(8) = 12
2x + 24 = 12
2x = -12
x = -6
Which equation represents a line that has a slope of 1/3 and passes through point -2, one
Answers
Answer: y= 1/3 x + 5/3
Step-by-step explanation:
1= 1/3(-2) + b where b is the y intercept
1= -2/3 + B
+2/3 +2/3
B = 5/3
so we know the slope and the y- intercept
y= 1/3x + 5/3 check: 1=1/3(-2) +5/3
1 =1
Slope intercept form: y = mx + b
m = slope
b = y-intercept
Since we know the slope and one point, we can solve for the y-intercept.
y = 1/3x + b
1 = 1/3(2) + b
1 = 2/3 + b
1 - 2/3 = 2/3 - 2/3 + b
1/3 = b
Now, put the final equation together.
y = 1/3x + 1/3
Best of Luck!
if a cube measures 5.3 cm on each side and has a mass of 280 grams how much is its volume
Answers
Answer:
8.1 g/cm
Step-by-step explanation:
Simplifying products and quotients of powers
7^2•7^8/7^4=7^a/7^4=7^b
A=
b=
Answers
Answer:
a=10
b=6
Step-by-step explanation:
add 2 to 8, to get a, then subtract 4 from 10 to get b
Answer:
10 and 6
Step-by-step explanation:
PLEASE ANSWER I HAVE BEEN ON IT FOr A DARN HOUR
Answers
Answer:
-3
Step-by-step explanation:
The equation is y = -3 + .5x
Answer:
g(6) = 0, x = 6
Step-by-step explanation:
Sorry I forgot to look at the graph..
Graph is y = 1/2x - 3
Plug it in.
y = 1/2 (6) - 3
y = 0
the sum of three consecutive numbers is 114 . what is the smallest of these numbers
Answers
Answer:
x + (x+1) + (x+2) = 114
3x = 111
x = 37
the numbers are 37, 38 and 39
the smallest number is 37
Step-by-step explanation:
3x=111
X=37
The number are 37,38 and 39
The smallest number 37
