Answer:
answer is 3^2
hopefully this helps someway
What is the following product?
A system of two linear equations is graphed on a coordinate plane. If the system of equations has infinitely many solutions, which statement must be true?
A
The lines are parallel.
B
The lines intersect in one point.
C
The lines are the same.
D
None of the above
Answer:
c
Step-by-step explanation:
Infinite solutions. A system of linear equations has infinite solutions when the graphs are the exact same line.
So C would be the most accurate statement
please give brainiest
From first to last, when did the presidents serve?
Drag the presidents' names into the correct order according to when they served.
Answer:
The answer is Gerald R. Ford, Jimmy Carter, Ronald Reagan, and lastly George H.W Bush
Step-by-step explanation:
The amount of water consumed each day by a healthy adult follows a normal distribution with a mean of 1.30 liters. A health campaign promotes the consumption of at least 2.0 liters per day. A sample of 10 adults after the campaign shows the following consumption in liters:
1.361.351.331.661.581.321.381.421.901.54
At the 0.050 significance level, can we conclude that water consumption has increased? Calculate and interpret the p-value.
A.) State the null hypothesis and the alternate hypothesis.
H0: μ ≤ _____
H1: μ >_____
B.) State the decision rule for 0.050 significance level. (round to 3 decimal places)
C.) Compute the value of the test statistic. (round to 3 decimal places)
D.) At the 0.050 level, can we conclude that water consumption has increased?
E.) Estimate the p-value.
Answer:
H0: μ ≤ 1.30
H1: μ > 1.30
|Test statistic | > 1.833 ; Reject H0
Test statistic = 3.11
Yes
Pvalue = 0.006
Step-by-step explanation:
H0: μ ≤ 1.30
H1: μ > 1.30
Samples, X ; 1.36,1.35,1.33, 1.66, 1.58, 1.32, 1.38, 1.42, 1.90, 1.54
Xbar = 14.84 / 10 = 1.484
Standard deviation, s = 0.187 (calculator)
Decison rule :
|Test statistic | > TCritical ; reject H0
df = n - 1 = 10 - 1 = 9
Tcritical(0.05; 9) = 1.833
|Test statistic | > 1.833 ; Reject H0
Test statistic :
(xbar - μ) ÷ (s/√(n))
(1.484 - 1.30) ÷ (0.187/√(10))
0.184 / 0.0591345
Test statistic = 3.11
Since ;
|Test statistic | > TCritical ; We reject H0 and conclude that water consumption has increased
Pvalue estimate using the Pvalue calculator :
Pvalue = 0.006
Why is it important for a company to create an income statement?
Lorena's backpack has a mass of 15,000 grams.
What is the mass of Lorena's backpack in kilograms?
Lorena's backpack weighs
kilograms.
Answer:
1 kg = 1000 grams
15,000 grams = 15kg
What is the remaining area
Find the perimeter of EFGH
Step-by-step explanation:
Perimeter of EFGH=2.5+1.5+4+2
=10
=
Plz help me well mark brainliest if correct!
Answer:
ok
Step-by-step explanation:
Answer:
The length is 8.
Step-by-step explanation:
If you know the formula for area is LxW. Use this but reverse it. The area is 24 and the width is 3. Now divide 24/3=8. Simple as that!
Formula: A/W=L or A/L= W use this if you need more help! Hope it helps (:(:
The average score of 100 students taking a statistics final was 70 with a standard deviation of 7. Assuming a normal distribution, what test score separates the top 5% of the students from the lower 95% of students?
Answer:
Hence, the answer is [tex]x>71.1515[/tex]
Step-by-step explanation:
We have,
[tex]n=100,\mu=70,\sigma=7[/tex]
The top percentage of the students is [tex]5\%[/tex]
The lower percentage of the students is [tex]95\%[/tex]
The lowest [tex]95\%[/tex] is the left area from the normal distribution table, the area [tex]0.95[/tex] lies in the z-table
[tex]z=1.645[/tex] from the z- table
[tex]P(z<1.645)=0.95\\P(z>1.645)=0.05\\z>1.645[/tex]
[tex]\frac{x-\mu}{\frac{\sigma}{\sqrt{\mu}} } >1.645\\x>1.645\times \frac{\sigma}{\sqrt{n}} +\mu[/tex]
[tex]>1.645\times \frac{7}{\sqrt{100}} +70[/tex]
[tex]\Rightarrow x>71.1515[/tex]
Does this graph represent a function? Why or why not?
A. No, because it fails the vertical line test
B. No, because it is not a straight line
C. Yes, because it is a curved line
D. Yes, because it passes the vertical line test
Answer:
D. Yes, because it passes the vertical line test
Step-by-step explanation:
Solve the right triangle below. Round sides to the nearest thousandth and angles to the nearest degree.
Answer:
Option 4, BC = 12.689, m∠A = 58°, and m∠C = 32°
Hope this helps!
Use slope or the distance formula to determine the most precise name for the figure:
A(-4,-1), B(-2,4), C(4, 5), D(2,0).
Answer:
parallelogram
Step-by-step explanation:
opposite sides are parallel and equal
Determine the angles θ where sin(θ)=12
A)30o and 120o
B)60o and 120o
C)30o and 150o
D)60o and 150o
HELP ME! Look at the stem-and-leaf plot. What is the mode of the numbers?
Given:
The stem-and-leaf plot or a date set.
To find:
The mode of data set.
Solution:
From the given stem-and-leaf plot, we get the numbers of the data set.
64, 67, 70, 70, 71, 75, 76, 78, 78, 80, 82, 82, 88, 91, 93, 94, 97, 98, 100, 100, 100
Mode of a date set is the most frequent value.
In the given data set the most frequent value is 100 with frequency 3.
Therefore, the mode of data set is 100. Hence, option A is correct.
Answer:it is A: 100
Step-by-step explanation:
i got it right
good luck with your test :)
which fractions are equivalent to 4/8? choose all correct answers (1/5) (2/6) (1/4) (1/2) (2/4)
Answer:
1/2, 2/4
Step-by-step explanation:
4/8 = (2/4) =1/2 (if you divide up and down by the same number)
so 4/8 = 1/2
next, let's simplify the choices we have: (1/5) (2/6) (1/4) (1/2) (2/4)
1/5 is already simplified
2/6 = 1/3
1/4 is already simplified
1/2 is already simplified
2/4 = 1/2
Which of these is equal to 4/8 (aka 1/2)?
Answer: 1/2 and 2/4
How would I figure out a linear equation with two plot points with fractions? (1/3(6),3) and (1/2(19),-2) are my two plot points. I was able to graph them on Desmos, but I can't seem to figure out how I would go about figuring out the slope and y-intercept in this case... the fractions are what's throwing me off here. Please help!
Answer: [tex]m=\frac{-30}{79},\ y=5.40[/tex]
Step-by-step explanation:
Given
Points are [tex]\left(6\frac{1}{3},3\right),\ \left(19\frac{1}{2},-2\right)[/tex]
Convert mixed numeral to fraction
[tex]\left(6\frac{1}{3},3\right)\Rightarrow \left(\dfrac{19}{3},3\right)\\\\\left(19\frac{1}{2},-2\right)\Rightarrow \left(\dfrac{39}{2},-2\right)[/tex]
Slope of the line is
[tex]\Rightarrow m=\dfrac{3-(-2)}{\dfrac{19}{3}-\dfrac{39}{2}}\\\\\Rightarrow m=\dfrac{5}{\dfrac{38-117}{6}}\\\\\Rightarrow m=\dfrac{-30}{79}[/tex]
Equation of line
[tex]\Rightarrow \dfrac{y-3}{x-\dfrac{19}{3}}=\dfrac{-30}{79}\\\\\text{for y-intercept, put x=0}\\\\\Rightarrow \dfrac{y-3}{0-\dfrac{19}{3}}=\dfrac{-30}{79}\\\\\Rightarrow y-3=\dfrac{190}{79}\\\\\Rightarrow y=3+2.40\\\Rightarrow y=5.40[/tex]
A surveyor has a survey a triangular plot of land. One side of the plot lies along countryside road. This side is 400 ft long. The second side is the gore road, which intersects countryside road at an angle of 88 degrees. The third side of this plot of land is 550 ft long. Determine the distance of the gore road that makes up in the unknown side of plot to the nearest foot
9514 1404 393
Answer:
392 ft
Step-by-step explanation:
As in the attached figure, you seem to have sides b and c of the triangle, along with angle C. You want to find side 'a'. The law of sines can be used to find angle B, then angle A can be found from the sum of angles. Knowing angle A, we can find side 'a'.
sin(B)/b = sin(C)/c
sin(B) = (b/c)sin(C) = 400/550·sin(88°)
B = arcsin(8/11·sin(88°)) ≈ 46.621°
Then angle A = ...
A = 180° - B - C = 180° -46.621° -88° = 45.379°
Now, we can find side 'a' from ...
a/sin(A) = c/sin(C)
a = c·sin(A)/sin(C) ≈ 550·sin(45.379°)/sin(88°) ≈ 391.710 . . . feet
The unknown side of the triangle is about 392 feet.
The area of the region under the curve of a function f(x) = ax + b on the interval [0, 4] is 16 square units.
(a, b) can't equal
The area of the given region under the curve of a function f(x) = ax + b on the interval [0, 4] is 16 square units. So, all the options satisfy the value of a and b except (7, -9).
How to find the area of a region?Supposing that there is no direct formula available for deriving the area, we can derive the area of that region by dividing it into smaller pieces, whose area can be known directly.
Then summing all those pieces' area gives us the area of the main big region.
The area of the given region under the curve of a function f(x) = ax + b on the interval [0, 4] is 16 square units.
f(x) is a linear function, the area under the curve on the interval [0,4] is a trapezoid with a height of 4 and bases of lengths f(0) and f(4).
The area of a trapezoid is the height times the average of the bases.
a. f(x)=-2x+8 f(0)=8, f(4)=0;
area = 4(8/2) = 16
b. f(x)=x+2; f(0)=2, f(4)=6;
area = 4(8/2) = 16
c. f(x)=3x-2; f(0)=-2, f(4)=10;
area = 4(8/2) = 16
d. f(x)=5x-6; f(0)=-6, f(4)=14;
area = 4(8/2) = 16
e. f(x)=7x-9; f(0)=-9, f(4)=19;
area = 4(10/2) = 20
Thus, The area is NOT 16 for choice e.
Learn more about Area here:
https://brainly.com/question/13056790
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Stream ecologists are interested in the number of distinct organisms found in streams and whether or not differences exist based on geography. Separate random samples are obtained from sites in Northeastern and Southeastern streams, and the number of distinct organisms is recorded. They are given as separate stemplots for Northeastern and Southeastern streams.
Northeastern Southeastern
0 0 5 5 7 8
1 5 1 1 2 3 5 9 9
2 0 3 9 2 2 7
3 1 4 7 8 8 3 3
4 4 8 8 4 1
5 5 7 5
Required:
What is the sample size obtained from Southeastern?
Answer:
14
Step-by-step explanation:
Given
See attachment for proper stem plots for both district
Required
The sample size for Southeastern
The stem plot for southeastern is:
[tex]Stem | Leaf[/tex]
[tex]0 | 5\ 5\ 7\ 8[/tex]
[tex]1 | 1\ 2\ 3\ 5\ 9\ 9[/tex]
[tex]2 |2\ 7[/tex]
[tex]3 | 3[/tex]
[tex]4 | 1[/tex]
[tex]5 |[/tex]
To get the sample size, we simply count the leaves
The leaves are:
[tex]Leaves = \{5, 5, 7, 8, 1, 2, 3, 5, 9 ,9,2,7,3,1\}[/tex]
The number of leaves is:
[tex]n(Leaves) = 14[/tex]
Hence, the sample size is 14
(8422
A)
B
B)
9
D)
816
8
Answer:
8422
Step-by-step explanation:
What is the volume of the prism, In cubic inches?
Answer:
55 in²
Step-by-step explanation:
Base x Height
find the vertex and the x- and y- intercept of the following quadratic equations
y = 5x² +15x+10
Answer:
x int. (-1,0) and (-2,0). y-int,(0,10)
Step-by-step explanation:
y-int. it's 10 because the y-int is always the c value.
x-int.
x=-b±√b²-4ac/2a
x=-15±√15²-4(5)(10)/2(5)
x=-15±√225-200/10
x=-15±√25/10
x= -15+5/10. x=-15-5/10
x=-10/10. x=-20/10
x=-1. x=-2
What is the volume of the composite figure below? (formula for volume of a prism is 1/3 Bh where B is the area of the base.)
Answer:
Last Option; 84 cu. mm
Step-by-step explanation:
We know that;
Volume = 1/3(Bh)
And that this is figure has a square base, therefore B that represents the area of the base will be: 6 * 6 = 36
And height = 7mm
Therefore we can say;
Volume = (1/3)*(6 x 6)*(7)
Volume = (1/3)*(36)*(7)
Volume = (12)*(7)
Volume = 84
Hope this helps!
Find the arc length of the partial circle.
Either enter an exact answer in terms of pi or use 3.14 for pi and enter your answer as a decimal.
Find the surface area of a regular square pyramid with a base edge length
of 9 feet and a slant height of 12 feet.
Answer:
Perimeter = 9 . 4=36 ft
lateral area=(perimeter . slant height) / 2 = (36 . 12) /2 = 216 sq ft
area of the base=9*9=81 sq ft
Surface area = LA+BA = 216 + 81 = 297 sq ft
HILL BOOMERANG I BEG OF YOU GUYS PLEASE HELP IF YOU KNOW AND UNDERSTAND IT
Answer:
5. 2√6
6. 4
Step-by-step explanation:
5. x =√[3×(3+5] = √3×8 =√24=2√6
6. x(x+5)=6²
x²+5x=36
x²+5x-36=0
(x+9)(x-4) =0
x=-9 or x=4
the first term of an arithmetic sequence is 10 and the sum of the first five terms is 250,find the sequence
Answer:
The sequence is:
10, 30, 50, 70, 90.....................
Step-by-step explanation:
We have,
First term (a) = 10
Common difference (d) = ?
Sum of first 5 terms ([tex]S_{5}[/tex]) = 250
or, [tex]\frac{n}{2} [{2a+(n-1)d}] = 250[/tex]
or, [tex]\frac{5}{2} [2*10 + 4d]=250[/tex]
or, [tex]\frac{5}{2} * 4[5+d]=250[/tex]
or, 10(5 + d) =250
or, 5 + d = 25
∴ d = 20
Now,
2nd term = a + d = 10 + 20 = 30
3rd term = a + 2d = 10 + 2*20 = 10 + 40 = 50
4th term = a + 3d = 10 + 3*20 = 10 + 60 = 70
5th term = a + 4d = 10 + 4*20 = 10 + 80 = 90
1. You borrow $500 from a bank with a 5% annual interest and
the maturity date is in 3 years
a. How much would you pay in interest at the end of the
loan if you pay simple interest
b. How much would you pay in interest at the end of the
loan if you pay in compound interest
Answer:
Step-by-step explanation:
Discussing interest starts with the principal, or amount your account starts with. This could be a starting investment, or the starting amount of a loan. Interest, in its most simple form, is calculated as a percent of the principal. For example, if you borrowed $100 from a friend and agree to repay it with 5% interest, then the amount of interest you would pay would just be 5% of 100: $100(0.05) = $5. The total amount you would repay would be $105, the original principal plus the interest.
I need help can someone tell me which choice is correct?
Answer: A, C, D
Step-by-step explanation:
A is correct because Audrey reads 40 pages a day, and David reads 20. When you divide 40 by 20, you get 2. This means that 2 times 20 would be 40, and anything multiplied by 2 is "twice".
40 ÷ 20 = 2
2 × 20 = 40
B is not correct because after 6 days, Audrey reads 240 pages, and David reads only 120. We can figure this out by multiplying the pages read by 6.
Audrey: 40 × 6 = 240
David: 20 × 6 = 120
C is correct because when you subtract 20 from 40, you get 20. Since Audrey reads 40 pages a day and David reads 20, you can use this equation: 40-20 to figure the answer out. Audrey reads 20 more pages every day.
[tex]40-20=20[/tex]
D is correct because after 2 days, Audrey will have read 80 pages, and David will have read 40 pages. When you subtract 40 from 80, you get 40 pages.
40 × 2 = 80
20 × 2 = 40
80 - 40 = 40
E is not correct because, after 3 days, Audrey will have read 120 pages, and David will have read 60 pages. One-third of 120 is 40, not 60. Three times 60 would be 180, not 120. So, This answer is incorrect.