Answer:
5/6
Step-by-step explanation:
convert 2/3 to 4/6 by multiplying by 2
4/6 + 1/6 = 5/6
Answer:
The answer is [tex]\frac{5}{6}[/tex]
Step-by-step explanation:
You need to find the GCF which is 6 so multiply the 2/3 to become 4/6 from then you can add the numerators.
w
in
P
=
2
w
+
2
l
, if
P
=
38
and
l
=
12
.
Answer:
7
Step-by-step explanation:
38=2w+24
2w=14
W=7
A 7.5 force is applied to a football, causing an acceleration of 15 m/s2. Calculate the mass
of the football.
Step-by-step explanation:
We know that we have the formula that F = ma
Given
Force (F) = 7.5 N
Acceleration (a) = 15 m/s²
Mass (m) = ?
Now
F = ma
7.5 = m * 15
m = 7.5/ 15
Mass = 0.5 kg
The mass of the football is 500 g.
Step-by-step explanation:
Given,
F = 7.5 N
Acceleration (f) = 15 m/s²
To find the mass (m) of the ball.
Formula
F = mf
According to the problem,
m×15 = 7.5
or, m = [tex]\frac{7.5}{15}[/tex] = 0.5 kg = 500 g
Hence,
The mass of the football is 500 g.
This rectangular prism is cut by the plane shown. The plane is perpendicular to the base of the rectangular prism. What is the shape of the cross-section?
Answer: Rectangle
Step-by-step explanation:
The shape of the cross-section is a rectangle. The plane is perpendicular to the base of the rectangular prism so the shape of the cross-section is the same as the top and bottom views of the rectangular prism.
Answer:
rectangle
Step-by-step explanation:
Which expressions are equivalent to 2 to the power of 5 / 6 to the power of 5
1. 1/3
2. 3 to the power of -5
3. (-4) to the power of -5
4. 2 to the 5th power times 6 to the -5 power
Answer:
2. 3 to the power of -5
4. 2 to the 5th power times 6 to the -5 power
Step-by-step explanation:
(2⁵)/(6⁵)
(2/6)⁵
(1/3)⁵
(3^-1)⁵
3^(-5)
(2/6)⁵
2⁵ × (6^-1)⁵
2⁵ × (6^-5)
Steps to solve:
2^5/6^5
~Apply exponent rules
(1/3)^5
1^5/3^5
~Simplify
1/243
Now, we can solve for each option.
Option 1:
1/3 ≠ 1/243
This is incorrect.
Option 2:
3^-5 = 1/243
This is correct.
Option 3:
-4^-5
-1/4^5
-1/1024 ≠ 1/243
This is incorrect.
Option 4:
2^5 * 6^-5
2^5 * 1/6^5
2^5/6^5
1^5/3^5
1/243 = 1/243
This is correct.
Therefore, the correct answers are options 2 and 4.
Best of Luck!
89% of what number is 14
A: 0.89 = n x 14; 0.1
B: 14 = 89 x n; 0.2
C: n = 0.89 x 14; 12.5
D: 14 = 0.89 x n; 15.7
Answer:
D: 14 = 0.89 x n; 15.7
Step-by-step explanation:
To get 89% of a number you have to multiply that number by 0.89
A baseball player got a hit of his last 40 at bats. What is the probability that he will get a hit in his next bat?
Answer: 41 out of 1
Step-by-step explanation:
48.02 divided by 0.02=?
show how you got the answer
Answer:
2401
hope i helped
A manufacturer knows that 2%2\% 2% 2, percent of its microchips are produced with a certain defect. They decide to change their process to make it more efficient, and they want to test if the new process has the same defect rate or not.
Answer: 0.0776
Step-by-step explanation:
Since the manufacturer knows that 2% of its microchips are produced with a certain defect. Then
P( defective) = 2/100 = 0.02
P( non defective) = 1 - 0.02 = 0.98
Probability of all 4 not defective will be
P(all 4 not defective) = 0.98^4 = 0.9224
Probability that at least one of the selected chip is defective will be
P(at one defective) = 1 - 0.9224
= 0.0776
Answer:
H0: p=0.02
Ha:p not equal 0.02
Step-by-step explanation:
kahn
Dimensions of a house are 300 feet by 125 feet. If 1 inch represents 50 feet, what are the dimensions of the house on the drawing?
Answer:
6 inches and 2.5 inches
Step-by-step explanation:
300/50 = 6
125/50 = 2.5
Use the net to find the lateral area of the prism.
Answer:
Step-by-step explanation:
area=2(13+17+13+17)*15=2×60×15=1800 cm²
Answer:
(13+17+13+17)*15= 900cm^2
Step-by-step explanation:
Express 27p as a percentage of £9
Answer:
27% of £9 is £2.43
Step-by-step explanation:
27% of £9
This becomes
(27/100)*9
=243/100
= £2.43
Answer:
3%
Step-by-step explanation:
27/900=0.03x100=3%
A bag contains 25 cents and 50 cent coins whose total value is $30 if the number of 25 cent coins is four times that of 50 cent coins, find the number of each type coins. please may I also have the equation.
Number of 25 cents coins is 80 and number of 50 cents coins is 20.
Step-by-step explanation:
Given,
A bag contains of total value $ 30.
Number of 25 cent coins is four times that of 50 cent coins.
To find number of 25 cents coin is x
Number of 50 cents coin is y
According to the problem,
[tex]\frac{x}{4} +\frac{y}{2} = 30[/tex] ----- eq 1
x = 4y------ eq 2
Now, we will solve these two equation.
Putting the values of x = 4y in eq 1 we get,
[tex]\frac{4y}{4} +\frac{y}{2} = 30[/tex]
or, [tex]y +\frac{y}{2} = 30[/tex]
or, [tex]\frac{3y}{2}[/tex] = 30
or, y = 20
So, x = 4×20 = 80
Hence,
Number of 25 cents coins = 80 and number of 50 cents coins = 20
Answer:
Step-by-step explanation:
Let 25 cent coin be A and 50 cent coin be B
Given
Total value of 25 cents coin and 50cents coin is $30
That’s
25A + 50B = 30
Also, 25 cents coin is equal to four times that of 50
So,
A = 4B
We now have
25A + 50B = 30
A = 4B
Substitute 4B for A into the first equation
25(4B) + 50B = 30
25 x 4B + 50B = 30
100B + 50B = 30
150B = 30
Divide both sides by 150 to isolate B
150B/150 = 30/150
B = 1/5
Recall
A = 4B
Therefore
A = 4 x 1/5
= 4/5
Number of 25 cents coin is 4/5 and that of 50 cents coin is 1/5
What’s is the index notation?
Given:
a) 3 × 3 × 3 × 3 × 3
b) 4 × 4 × 4 × 5 × 5
c) 9 × 7 × 9 × 9 × 7 × 9
To find:
The index notation.
Solution:
a) Using multiplication rule of indices:
[tex]a^{n} \times a^{m}=a^{n+m}[/tex]
[tex]3\times3\times3\times3\times3=3^{1+1+1+1+1}[/tex]
[tex]=3^5[/tex]
Therefore, [tex]3\times3\times3\times3\times3=3^{5}[/tex]
b) Using multiplication rule of indices:
[tex]4\times4\times4\times5\times5=4^{1+1+1}5^{1+1}[/tex]
[tex]=4^35^2[/tex]
Therefore, [tex]4\times4\times4\times5\times5=4^{3}5^{2}[/tex]
c) Using multiplication rule of indices:
[tex]9\times7\times9\times 9\times7\times9=9^{1+1+1+1}7^{1+1}[/tex]
[tex]=9^47^2[/tex]
Therefore, [tex]9\times7\times9\times 9\times7\times9=9^{4}7^{2}[/tex]
J is the midpoint of CT CJ = 8x-5 and JT = 5x+4 find CT
The value of CT is 13x - 1.
What is a Line Segment?A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.
The figure given below shows a line segment CT, where the length of line segment CT refers to the distance between its endpoints, C and T.
Given that J is the midpoint of CT
CJ = 8x-5 and JT = 5x+4
C______________J______________T
⇒ CT = CJ + JT
Since J is the midpoint of CT, So CJ = JT
⇒ CT = CJ + JT
Substitute the values of CJ = 8x-5 and JT = 5x+4 in the above equation,
⇒ CT= (8x-5)+(5x+4)
⇒ CT= 8x-5+5x+4
Rearrange the likewise terms, and apply the arithmetics operation,
⇒ CT = 8x + 5x - 5 + 4
⇒ CT = 13x - 1
Hence, the value of CT is 13x - 1.
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Final answer:
To find the length of CT, solve the equation 8x-5 = 5x+4 to find x, then substitute the value of x into either CJ or JT to find the segment's length and double it.
Explanation:
The student is asking a geometry problem where they need to find the length of the segment CT given that J is the midpoint of CT with CJ being 8x-5 and JT being 5x+4. Since J is the midpoint, these two segments are equal in length, thus the equation to solve is 8x-5 = 5x+4.
To find the value of x, follow these steps:
Subtract 5x from both sides: 3x-5 = 4.Add 5 to both sides: 3x = 9.Divide both sides by 3: x = 3.Once x is found, substitute it back into either CJ or JT expression to find the length of one segment. Then, double that length to find CT, as CT is equal to 2 times CJ or 2 times JT.
which angle pair relationships should be used to prove lines m and n are parallel?
Explain the Pythagorean theorem to an alien. What is it? When do you use it? How does it work? What is the formula? Who discovered it? Etc.
Answer:
the pythagorean theorem is an equation to figure out the side of a triangle. theformula is a squared plus b squared equals c squared.
Step-by-step explanation:
Answer:
The pythagorean theorem is an equation to figure out the side of a triangle. And the formula is A squared plus B squared equal C squared and it better to always know the missing triangle
Step-by-step explanation:
What is 9 over 7 divided by 3?
3(x + 3) − 3 = 46 − 2x
x =
Step-by-step explanation:
3x + 9 - 3 = 46 - 2x
3x + 6 = 46 - 2x
3x + 2x = 46 - 6
5x = 40
x = 40 / 5 = 8
x = 8
1) The Consumer Price Index (CPI) for 2006 was 2.5. In other words, the cost of living went up 2.5% from
2005 to 2006. If someone earned $45,000 in 2005, how much should they heave earned in 2006 to keep up
with the increase?
A)$42,500
B)$43,875
C)$46,125
D)$56,250
2) find the simple interest on a $2000 loan that is borrowed for 3 years an annual interest rate of 7 1/2%.
A)$45
B)$300
C)$150
D)$450
3) calcium represents 3/200 of an average person’s weight.Express this fraction as a percent.
A)15%
B)0.15%
C)12%
D)25%
4) A real estate agency received a commission of $10,800 for selling,a house at $120,000. What percent of the selling price was the commission?
A)44.44%
B)9%
C)12%
D)25%
Answer:
Step-by-step explanation:
1d and 2b and 3a and 4c
The top of a pole is 15 feet high. The base is -3 feet underground. How tall is the pole?
Answer:
18
Step-by-step explanation:
tell if it helped
Answer:
18 feet
Step-by-step explanation:
We are 15 above ground and 3 feet below ground
Add the lengths together
15+3 = 18 feet for the pole length
What is the median and Q1 of the data set represented on the plot?
Median = 31; Q1 = 26
Median = 30; Q1 = 26
Median = 31; Q1 = 20
Median = 30; Q1 = 20
Median: 31
( Q1 ) Lower Quartile: 26
( Q2 ) Upper Quartile: 38
Interquartile Range: 38 - 26 = 12
answer : Median: 31; Q1 (or Lower Quartile ) = 26
Answer:
first one
Step-by-step explanation:
31 is the median and the Q1 is the left side of the box
What is the mean of the data set shown below? 12 15 10 11
What does y equal in the equation 4(2y-3)-2y=24?
Answer:
y=6
Step-by-step explanation:
4(2y-3)-2y=24
Distribute
8y -12 -2y = 24
Combine like terms
6y -12 = 24
Add 12 to each side
6y-12+12 =24+12
6y = 36
6y/6 =36/6
y = 6
Volume and Surface Area! 30 POINTS
Answer:
Volume: 5200 cubic centimeters
Surface area: 1520 square centimeters
Step-by-step explanation:
Volume = [1/2 x 5 x side x apothem] x height
(The apothem is that little 8 cm mark, the height is 26, the side is 10.)
Plug those values in:
V = 1/2 * 5 * s * a * h
= 1/2 * 5 * 10 * 8 * 26 = 5200 cubic centimeters
Surface area = 2(base area) + 5(lateral area)
Perimeter of base = 10*5 = 50 cmBase area = pa/2 = 50*8 / 2 = 200 square centimetersLateral area = lw = 26*10 = 260 square centimetersSA = 2(200) + 5(260) = 1520 square centimeters
a 314
b 376.8
c 1256
d 942
Answer:
A. 314
Step-by-step explanation:
Volume of a cone= π*radius^2*height/3
Pi*radius^2=3.14*25=78.5
78.5 * height/3=78.5*12/3=78.5 x 4= 314
Which dot plot shows a sample that is most representative of the number of pets in a household? A dot plot going from 0 to 6. There are 3 dots above 0, 5 dots above 1, 4 dots above 2, 3 dots above 3, 2 dots above 4, 0 dots above 5, and 1 dot above 6. A dot plot going from 0 to 6. There are 2 dots above 1, 3 dots above 2, and 1 dot above 5. A dot plot going from 0 to 6. There is 1 dot above 0, 2 dots above 1, 1 dot above 2, 1 dot above 3, 1 dot above 4, 1 dot above 5, 2 dots above 6. A dot plot going from 0 to 6. There is 1 dot above 1, 2 dots above 2, 3 dots above 3, 2 dots above 4, 1 dot above 5.
Answer:
A on edge
Step-by-step explanation:
The correct dot plot is
A dot plot going from 0 to 6. There are 3 dots above 0, 5 dots above 1, 4 dots above 2, 3 dots above 3, 2 dots above 4, 0 dots above 5, and 1 dot above 6.
What is Dot plot?Data points are represented as dots on a graph with an x- and y-axis in a dot plot, sometimes referred to as a strip plot or dot chart, which is a straightforward type of data visualisation.
Given:
The dot plot which shows most representative number of pets is
A dot plot going from 0 to 6. There are 3 dots above 0, 5 dots above 1, 4 dots above 2, 3 dots above 3, 2 dots above 4, 0 dots above 5, and 1 dot above 6.
This is because
= 3+5+4+3+2+0+1
= 18 dots
Also, the rest of the dot plot does not show up to 18.
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What is the value of log9 729?
Answer
Logarithm base 9 of 729 is 3.
Step-by-step explanation:
Which of the following describes the ways organisms are interconnected through their feeding patterns?
Answer:
organisms are interconnected through their feeding patterns:
they process the route flow transmit through the intercellar silicosis.
Step-by-step explanation:
Answer:
Food Chain
Step-by-step explanation:
Describe the type of correlation indicated by each correlation coefficient r=0.875
Answer:
A strong correlation
Step-by-step explanation:
The closer the correlation coefficient is to the number 1 the stronger the correlation is.
The correlation coefficient r = 0.875 indicates a strong correlation coefficient.
What is correlation?A statistical metric known as correlation shows how much two or more variables change in relation to one another.
The given correlation coefficient is r = 0.875.
Since the value of r is greater than 0.7, the correlation is strong.
Hence, the correlation coefficient r = 0.875 indicates a strong correlation coefficient.
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A restaurant noted what type of food its customers ordered last week. Here are the results:
Burger
Fries
30%
40%
10%
20%
Find the probability that a randomly chosen customer ordered a burger given that they ordered fries.
P (burger fries) =
Answer:
0.80
Explanation:
Since the results are not shown properly, I attach the picture with full question inlcuding the diagram that shows the results correctly.
You need to determine P(burger|fries)
That is the ratio of people that ordered burgers from the set of people that ordered fries (the intersection of the two circles) to the total people who ordered fries (the blue circle, including the intersection of the two circles).
The venn diagram shows that the set of people who ordered fries was 10% + 40% = 50% (the percentage inside the blue circle, including the intersection with the purple circle)
And from that set, the subset of people who also ordered burgers is 40% (the intersection of the two circles).
Thus, the probability that a randomly chosen customer ordered a burger given that they ordered fries is:
[tex]P(burger\mid fries)=\dfrac{P(burger\cap fries)}{P(fries)}[/tex]
[tex]{P (burger\mid fries)=\dfrac{40\% }{50\% }=0.80=80\%[/tex]
The probability that a randomly chosen customer ordered a burger given that he ordered fries is 80%.
To determine the probability that a randomly chosen customer ordered a burger given that he ordered fries, the following calculation must be performed:
Fries = 10% Fries and burgers = 40% Burgers = 30% None = 20% Fries + Fries and burgers = 50% 50 = 100 40 = X 40 x 100/50 = X 80 = X
Therefore, the probability that a randomly chosen customer ordered a burger given that he ordered fries is 80%.
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