Answer:
a) [tex]\frac{3}{20}[/tex] and [tex]\frac{16}{20}[/tex] = [tex]\frac{19}{20}[/tex]
b) [tex]\frac{8}{21}[/tex] and [tex]\frac{18}{21}[/tex] = [tex]1\frac{5}{21}[/tex]
c) [tex]\frac{18}{72}[/tex] and [tex]\frac{32}{72}[/tex] = [tex]\frac{25}{36}[/tex]
Step-by-step explanation:
a) [tex]\frac{3}{20}[/tex] and [tex]\frac{4}{5}[/tex]
[tex]\frac{4}{5}[/tex] x 4 = [tex]\frac{16}{20}[/tex]
[tex]\frac{3}{20}[/tex] and [tex]\frac{16}{20}[/tex] = [tex]\frac{19}{20}[/tex]
b) [tex]\frac{8}{21}[/tex] and [tex]\frac{6}{7}[/tex]
[tex]\frac{6}{7}[/tex] x 3 = [tex]\frac{18}{21}[/tex]
[tex]\frac{8}{21}[/tex] and [tex]\frac{18}{21}[/tex] = [tex]1\frac{5}{21}[/tex]
c) [tex]\frac{2}{8}[/tex] and [tex]\frac{4}{9}[/tex]
[tex]\frac{2}{8}[/tex] x 9 = [tex]\frac{18}{72}[/tex]
[tex]\frac{4}{9}[/tex] x 8 = [tex]\frac{32}{72}[/tex]
[tex]\frac{18}{72}[/tex] and [tex]\frac{32}{72}[/tex] = [tex]\frac{25}{36}[/tex]
Plz help someone I’m very bad at math:
Bob placed a 17-foot ramp against the side of a house so the ramp rested on a ledge
that is 8 feet above the ground. How far was the base of the ramp from the house?
Answer:
get help here http://msflowersmath.weebly.com/uploads/2/7/8/6/27867809/8.3.pdf
sjdjwkfmwkfkekfmkdekjejwje
Answer:
I think yes but it could be no. Sorry if I am wrong but it should be yes.
The diameter of a circle measures 12 cm. What is the circumference of the circle?
Answer
The circumference is 37.699
Hope this answer helped you!
⭐Please consider giving brainliest!⭐
Step-by-step explanation:
the circumference of the circle with diameter 12cm=2π(d/2)=2×π×12/2=12πcm
5 members or 20% of the math league did not come to the meet. how many total members are there
5 = (20%) x (total)
5 = (0.20) x (total)
Divide each side by (0.20):
Total = (5 / 0.20)
Total = 25
Write an equation of the line that passes through (-2, 0) and is perpendicular to the line y=-1/3x+3
Slope of y = -⅓x + 3 is -⅓ (on comparing with m of y = mx + c)
As the required line is perpendicular to this, slope of the required line = - 1 / (-⅓) = 3
Equation:
=> y - y1 = m(x - x1)
=> y - 0 = (3)(x - (-2))
=> y = 3(x + 2)
=> 3x - y + 6 = 0
PLS HELP ASAP IM RUNNING OUT OF POINTS PLSS
Answer:
x = 35°
Step-by-step explanation:
180 - (40+40) = 2x+30
180 -80 = 2x+30
100 = 2x+30
2x = 100-30
x = 70/2
x = 35°
20 POINTS!!!! PLEASE HELP ME!!!!!!
Please do not tell me the answer tell me how to do it with showing my work
Answer:
Step-by-step explanation:
a)
2.64÷3.3 ( said 2.64 divided by 3.3)
3.3√2.64 ( yes I know it's not the division sign but it's as close as we can get)
2.64 / 3.3
All three representations are the same. each say divide 2.64 by 3.3. If you're thinking that last one looks more like a fraction, you're right, but.. that's also what that means. I'm showing these different ways to express the idea of division b/c it's part of what is involved with showing the work and understanding it.
so, to do the above let's move the decimal point to the right .. and do we want to move it one or two places. :? one because of 3.3 or two , because of 2.64, well we want to move it so we don't have to think about it in the problem... so move it the biggest amount that you need to, get the the decimil out of both numbers.. since the 2.64 needs two moves to the right of the decimal... use 100 times to move it 2 places, If you needed 3 then use 1000, 4 , 10,000 ect ect... see the pattern?
so
100(3.3 √ 2.64 )
move the decimal point in both 2 places right
330.0 √ 264.0
I put the extra zeros in, just so you can see the decimal easy. The zeros to the right of the decimal make no difference here.
now I'll know to put the number that I use to divde with above the zero, of 264.0 .. and i'll think about how many times 3 goes into 26 ,without going over. 3*8 = 24 so I want an 8
↓ ← ← ← 0.8
330.0 √ 264.0 ( multiply 8 * 330 = 2640 )
↓ → -264 .0 ( subtract 2640 from the number above )
0
you are done with that one, since there is zero left over and 0.8 is the answer
b)
0.324 ÷ 0.27
0.27 √ 0.324
0324 / 0.27
1000( 0.27 √ 0.324)
270 √ 324.0
↓ ← ← 1.2
270 √ 324.0
↓→ - 270 ( multiply by the 1 )
↓ = 54
↓→ - 540 (multiply by the 2 )
0
since there is zero left over you are done. The answer is 1.2
C)
0.32 ÷ 0.16
0.16 √ 0.32
100(0.32 / 0.16)
↓ ← 2
16 √32
↓→ -32 ( multiply 16 * 2 = 32 )
0
zero left over you are done. the answer is 2 :)
d)
16.92 ÷ 9.4
9.4 √ 16.92
100(16.92 / 9.4)
↓ ← ← 1.8
940 √1692.0
↓→→ - 940 (multiply by 1 )
↓ 7520
↓→ - 7520 (multiply by 8 )
0
since there is zero left you are done, The answer is 1.8
that was a lot, really nobody has talked or told you how to do this before?
where is your teacher? :/
If √7 = 2.646, find without using calculator,
the value
of
√0.0007
Answer:
√0.0007 = 0.02646
Step-by-step explanation:
We know that:
√7 = 2.646
We want to find the value of:
√0.0007
Also we know the relations:
[tex]\frac{\sqrt{x} }{\sqrt{y} } = \sqrt{\frac{x}{y} }[/tex]
Then:
[tex]\sqrt{0.0007} = \sqrt{\frac{7}{10,000} }[/tex]
We can rewrite this as:
[tex]\sqrt{\frac{7}{10,000} } = \frac{\sqrt{7} }{\sqrt{10,000} } = \frac{2.646}{100} = 0.02646[/tex]
PLEASE HELP ASAP!!!!
Whitus v. Georgia In the classic legal case of Whitus v. Georgia, a jury pool of 90 people was supposed to be randomly selected from a population in which 27% were minorities. Among the 90 people selected, 7 were minorities. Find the probability of getting 7 or fewer minorities if the jury pool was randomly selected. Is the result of 7 m
Answer:
0.000004 = 0.0004% probability of getting 7 or fewer minorities if the jury pool was randomly selected.
Step-by-step explanation:
For each person, there are only two possible outcomes. Either it was a minority, or it was not. The probability of a person being a minority is independent of any other person. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
Jury of 90 people:
This means that [tex]n = 90[/tex]
27% were minorities.
This means that [tex]p = 0.27[/tex]
Find the probability of getting 7 or fewer minorities if the jury pool was randomly selected.
This is:
[tex]P(X \leq 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7)[/tex]
In which
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 0) = C_{90,0}.(0.27)^{0}.(0.73)^{90} \approx 0[/tex]
[tex]P(X = 1) = C_{90,1}.(0.27)^{1}.(0.73)^{89} \approx 0[/tex]
[tex]P(X = 2) = C_{90,2}.(0.27)^{2}.(0.73)^{88} \approx 0[/tex]
[tex]P(X = 3) = C_{90,3}.(0.27)^{3}.(0.73)^{87} \approx 0[/tex]
[tex]P(X = 4) = C_{90,4}.(0.27)^{4}.(0.73)^{86} \approx 0[/tex]
[tex]P(X = 5) = C_{90,5}.(0.27)^{5}.(0.73)^{85} \approx 0[/tex]
[tex]P(X = 6) = C_{90,6}.(0.27)^{6}.(0.73)^{84} \approx 0[/tex]
[tex]P(X = 7) = C_{90,7}.(0.27)^{7}.(0.73)^{83} = 0.000004[/tex]
So
[tex]P(X \leq 7) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6) + P(X = 7) = 7*0 + 0.000004[/tex]
0.000004 = 0.0004% probability of getting 7 or fewer minorities if the jury pool was randomly selected.
Last year, Jason's average in math was a 72. This year, his average is a 90. What is the percent increase in Jason's grade?
Answer:
20% increase
Step-by-step explanation:
All you have to do is divide 72 by 90n and it will give you .8, move the decimal two places to the right to give you 80 and subtract 80 from 100 to get 20
Lexi mailed a letter on Monday morning. The letter traveled 1/2 of a mile on Monday. It
traveled 3/4 more of a mile on Tuesday, reaching its destination on Tuesday afternoon. How
far did Lexi's letter travel in all?
Answer:
1 1/4 miles
Step-by-step explanation:
3/4 + 2/4 (1/2 = 2/4) = 5/4 = 1 1/4
Mike needs to buy a water tank. The tank must fit inside a storage box that is shaped like a cube with the side lengths of 30 feet. Water tanks are available in cylinders, cones, square pyramids, and spheres. Mike wants to buy the tank that has the largest capacity. What shape tank should Mike buy?
Answer:
sphere
Step-by-step explanation:
sphere has a larger volume
10. A vehicle averages 68 km/h. How many kilometres can the car travel in 3 hours?
Answer:
15 I believe. ...
Step-by-step explanation:
uhhhhhh
Identify the distance between points (−1,7,10) and (6,−3,2), and identify the midpoint of the segment for which these are the endpoints. Round to the nearest tenth, if necessary.
Answer:
d ≈ 14.6 units; M (2.5, 2, 6)
Step-by-step explanation:
Using the distance formula for 3-D dimensions, you get the √(213) which equals 14.6
Then, using the midpoint formula for 3-D dimensions, you find the coordinates 2.5 for x, 2 for y, and 6 for z.
Solve the following equation for x
a. x=1
b. x=2
C. X=-1
d. x=-2
Answer:
Factor using difference of cubes and set each factor equal to
0 . x = − 1 ,1 + i √ 3 2, 1 − i √ 3 2
Step-by-step explanation:
D i think
if you can answer correctly I will cash app you my cash app is cathackley
Answer:
yo i know the answer its 5$ for me to help
Step-by-step explanation:
A hipopótamos weight 1.5 tons what is its weight in ounces
Answer:
48000
Step-by-step explanation:
multiply the mass value by 32000
Answer:
48000
Step-by-step explanation:
.
help me this is the second time i have asked this 20 points
don't put something dum pls
Answer:
1. y=7x
2. y=9x
3. y=13x
4. x=10y
5. y=(x)*5+1
7. Draw a line through (0, 1) and (1, 6)
8. Draw a line through (0, 2) and (1, 3)
9. Draw a line through (0, 3) and (6, 1)
10. Draw a line through (0, 40) and (20, 80)
With a capacity of 6,300 people, Royal Caribbean’s Oasis of the Seas is the world’s largest cruise ship. The average beer consumption over 35 randomly selected seven-day cruises on the ship was 81,740 bottles. From historical data you know that the population standard deviation of beer consumption is 4,590 bottles. Royal Caribbean would like to estimate the average beer consumption to plan its beer inventory levels on future cruises. (The ship certainly doesn’t want to run out of beer in the middle of the ocean!)
A. Construct a 95% confidence interval to estimate the average beer consumption per cruise.
B. Verify this interval using excel.
C. What assumptions need to be made about this population?
Step-by-step explanation:
Mean = 81740
Standard deviation = 4590
Sample size = 15
Alpha level = 1-0.95 = 0.05
Df = 15-1 = 14
Critical value:
alpha/2 = 0.05/2 = 0.05
t0.025
t critical value = 2.145
Margin of error ME
2.145 x 4590/√15
2.145 x 4590/3.873
ME = 2542.09
Confidence interval
Lower CI = mean - ME
= 81740-2542.09
= 79197.91
Upper CI = mean + ME
= 81740+2542.09
= 84282.09
[ 79197.91, 84282.09]
B.
Using excel, exact answer for CI
Lower limit = 79198.142724212173
Upper limit = 84281.8572757827
C.
The assumptions to be made from the population are that
1. Samples are random
2. These samples are gotten from an approximately normal distribution
Decide whether each statement is true or false. If a statement is true, say which of Euclid’s five postulates apply to it, then write the converse and contrapositive statements, and then decide which of these statements are true (it may help to rewrite the statements in “if-then” form). If it is false, give a counterexample or explain why.
a. A triangle can be drawn from any three points that are not on the same line.
b. A square can be drawn from any four points not on the same line.
c. When two lines intersect, the four angles they make add to 360 degrees.
d. There is only one parallel line to any given line.
Answer:
A) True
B) False
C) True
D) False
Step-by-step explanation:
A. This statement is True.
From euclid's postulates, if there are three straight lines that intersect each other another, and the sum of the interior angles formed between one of the straight lines and the other two straight lines is less than 180°, then it can be said that the other two straight lines will cross each other if they are both further extended on the same side of the figure in which the sum of the angles was less than 180° as we earlier said.
The converse statement is;
If three lines are drawn and two of the lines converge, then it means the third line can be drawn in such a way that the sum of the interior angles between this third line and the other two lines would be less than 180°.
The contrapositive statement is;
If the sum of the interior angles between the first line and the other two lines equals 180°,then it means that the other two lines will not intersect each other.
B. This statement is false.
The reason is because 4 sides of a square are always equal in length. As a result,all the 4 interior angles must be equal to 90°.
c. This statement is True.
From the first answer above, we saw that if there are three straight lines that intersect each other another, the sum of the interior angles formed between one of the straight lines and the other two straight lines is less than 180°.
Therefore, on the opposite side of the intersection, the sum of the adjacent angles would be equal to 180°
Thus;
180° + 180° = 360°
The converse statements is;
If two lines meet at a point then it means that the sum of the angles at that point equals 360°
The contrapositive statements is;
If the two lines do not meet at any point, then the sum of the angles on each straight line is 180°
d. This statement is False.
The reason is because there is not only one parallel line to any given line because a parallel line can be drawn from aso many points not even on the line in question.
calculate the actual sales since the sales tax were rung up together. assume sales tax of 6% and total sales of $27,000. What is the actual sales? ( round your answer to the nearest cent.)
Answer:
$25471.7
Step-by-step explanation:
1.06*25471.7=27000.002
Hope this helps
13. Use a ruler to measure the dimensions of
the parallelogram below to the nearest 0.5 cm.
Then, determine which of the following
solutions is closest to the area of the
parallelogram.
A. 18 cm2
B. 15 cm2
C. 12.5 cm2
D. 9 cm2
Answer:
26
Step-by-step explanation:
2 x 13 = 26
What is the cross section of a triangular prism
Answer:
Step-by-step explanation:
If the cut is parallel to the triangular face, the cut is a triangle. If it is parallel to the height, then it is a rectangle.
Help me please!
Two-thirds of the students in Hannah's homeroom plan to do some volunteering this summer. Of these students,3/5 plan to volunteer at the community center. What fraction of students in Hannah's homeroom plan to volunteer at the community center this summer.
I would rather not have the answer in a file thank you!
2/3 are volunteering.
3/5 are volunteering at the community center.
Multiply the amount from the community center by the total volunteering:
2/3 x 3/5 = (2x3) / (3/5) = 6/15 this can be reduced to 2/5.
The answer is 2/5
The inaugural attendance of an annual music festival is 150,00. The attendance y increase by 8% each year. (a.) Write an exponential growth function that represents the attendance after t years.
Answer:
y= 150,000(1+0.08)^t
The exponential growth equation is f ( x ) = 150,000 ( 1 + 0.08 )ˣ , where x is the number of years = t
What is exponential growth factor?The exponential growth or decay formula is given by
x ( t ) = x₀ × ( 1 + r )ⁿ
x ( t ) is the value at time t
x₀ is the initial value at time t = 0.
r is the growth rate when r>0 or decay rate when r<0, in percent
t is the time in discrete intervals and selected time units
Given data ,
Let the initial value of the function be x₀ = 150,000
Now , the initial attendance = x₀
And , the percentage of increase every year r = 8 %
So , the equation will be
f ( x ) = x₀ × ( 1 + r )ˣ , where x is the number of years = t
Substituting the values in the equation , we get
f ( x ) = 150,000 ( 1 + 0.08 )ˣ
Hence , the exponential growth equation is f ( x ) = 150,000 ( 1 + 0.08 )ˣ
To learn more about exponential growth factor click :
https://brainly.com/question/13674608
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What is the volume of of a rectangular prism with the following measurements:
Length: 1.2 cm
Width: 2.2 cm
Height: 3 cm
A 6.4 cm cubed
B 4.2 cm cubed
C 7.32 cm cubed
D 73.2 cm cubed
Answer:
1.2x2.2x3=7.92
Step-by-step explanation:
Answer C
You just multiply all the numbers.
7.92 is the closes to C (7.32)
You can also look up the formula and it can answer the question for you.
What is the length of DE?
O 1 unit
O 3 units
O
4 units
4 units
o
Answer:
3 units :D
Step-by-step explanation:
What is 1/12 cups converted into ounces?
Answer: 0.6667 ounces
Step-by-step explanation:
1/12 cups to ounces
1/12 cups=0.0833333333
0.0833333333 cups = 0.6666666664 ounces
0.6666666664 ounces=66.63/100=33.315/50
If Matrix A is 3 x 4, and Matrix B is 4 x 2, what is the size of matrix BA? If BA is undefined, please state so.
Answer:
Joe Mok
Step-by-step explanation:
Joe MAMA