Answer:
the first set of values is correct
Step-by-step explanation:
when x =0,
y = 3(0) -1
y=-1
when x =1,
y=3(1)-1
y=2
when x=2,
y=3(2)-1
y=5
how to decompose a parallelogram and rearrange the parts to form a rectangle is.
Answer:
a parrellelogram is a rectangle T^T
just that they slanted it.
UNSLANT IT.
if that makes sense.
Find X,so that 7x+1,5x+7,and 2x-1 form an arithmetic sequence and write the first three terms.
The first three terms of the arithmetic sequence are -97, -63, and -29.
The value of x = -14.
How to Find the Terms in an Arithmetic Sequence?To find the value of x and the first three terms of the arithmetic sequence, we can equate the differences between consecutive terms:
The common difference (d) is the same between all consecutive terms.
So, we have:
(5x + 7) - (7x + 1) = (2x - 1) - (5x + 7)
Simplifying the equation:
5x + 7 - 7x - 1 = 2x - 1 - 5x - 7
-2x + 6 = -3x - 8
Now, let's solve for X:
-2x + 3x = -8 - 6
x = -14
Substituting the value of X back into the expressions, we can find the first three terms:
First term: 7x + 1 = 7(-14) + 1 = -97
Second term: 5x + 7 = 5(-14) + 7 = -63
Third term: 2x - 1 = 2(-14) - 1 = -29
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Hello random community i have a question to ask what is 7/8 - 3/4
Answer: 1/8
Step-by-step explanation:
First make the bottom half the same:
3/4*2/2=6/8
We don’t need to change the first portion since they have a common factor
7/8-6/8=1/8
Question 25 Given that a: b = 8:5 and b: c = 3:4, find the ratio a: b: c Give your answer in its simplest form.
Answer:
24 : 15 : 20
Step-by-step explanation:
express ratios in fractional form and express b and c in terms of a
\(\frac{a}{b}\) = \(\frac{8}{5}\) ( cross- multiply )
8b = 5a ( divide both sides by 8 )
b = \(\frac{5}{8}\) a
also
\(\frac{b}{c}\) = \(\frac{3}{4}\) ( cross- multiply )
3c = 4b ( divide both sides by 3 )
c = \(\frac{4}{3}\) b = \(\frac{4}{3}\) × \(\frac{5}{8}\) a = \(\frac{5}{6}\) a
Then
a : b : c
= a : \(\frac{5}{8}\) a : \(\frac{5}{6}\) a ( multiply each part by 24, the LCM of 8 and 6 )
= 24a : 15a : 20a ( divide each part by a )
= 24 : 15 : 20 ← in simplest form
8q + 6 = 4q - 14
Please help
Answer:
q = - 5
Step-by-step explanation:
John comes across a recent survey and wants to gauge the strength of the results.
Which of the following would best reflect upon the researcher.
O a margin of error of +/- 10%
O a margin of error of +/- 3%
O a margin of error of +/- 98%
O a margin of error of +/-8%
Answer:
A margin of error of +/- 3%
Step-by-step explanation:
Strenght of surveys:
The lesser the margin of error, the more precise, stronger, the confidence interval is.
The margin of error depends of the number of people surveyed. The more people are surveyed, lower the margin of error is, giving a stronger interval.
In this question:
We want the smaller margin of error, which is given by:
A margin of error of +/- 3%
PLEASE HELP ME WITH THIS QUESTION
Answer: 108
Reason: I asked my teacher.
Answer:
105
Step-by-step explanation:
(6^2)=0.027
(3^3)=0.037
(3*6)^4=104,976
0.027*0.037*104,976= 104.87/ or 105
The volume of a cuboid is 540cm³. The length is 6cm and the width is 150mm. Work out the height of the cuboid in cm.
Step-by-step explanation:
To work out the height of the cuboid, we need to use the formula:
Volume = Length x Width x Height
We have been given the volume and the length, so we can substitute those values into the formula:
540 = 6 x Width x Height
Now we need to convert the width from millimeters to centimeters, so we divide it by 10:
150mm ÷ 10 = 15cm
Substituting this value into the formula:
540 = 6 x 15 x Height
Simplifying:
540 = 90 x Height
Dividing both sides by 90:
6 = Height
Therefore, the height of the cuboid is 6cm.
Mike measured the height of an art frame as 6.33 feet, but the actual height was 7 feet. What is the percent of error in Mike's measurement? (5 points)
a
9.45%
b
9.57%
c
10.58%
d
13.33%
Step-by-step explanation:
Difference between measured vs actual
= 7ft - 6.33ft = 0.67ft.
Percent of error = (0.67ft/7ft) * 100% = 9.57%. (B)
Answer:
9.57%
Step-by-step explanation:
On February 17th, you had to fill up your tank. You bought 14.5 gallons for $1.80/gallon.
At a carnival game, you randomly throw two darts at the board and break two balloons. What is the probability that both the balloons you break are purple? Write your answer as a fraction or percent rounded to the nearest tenth. The probability that both of the balloons you break are purple is
I NEED HELP ASAP
Answer:
Step-by-step explanation:
To determine the probability of breaking two purple balloons, we need additional information such as the total number of balloons and the number of purple balloons available. Without this information, it is not possible to calculate the probability accurately. Could you provide the total number of balloons and the number of purple balloons available in the carnival game?
Will records the wins and losses for his high school basketball team each year. He notices that the ratio of wins to losses has
been consistent each year,
VX
Wins
Losses
18
2
45
5
36
4
27
X
Using the information in the table, how many losses should he predict for next year if the number of games won is 272
1
ОО
3
6
9
Save and Exit
Next
Submit
Mark this and return
Answer:
3
Step-by-step explanation:
you have to multiply by 9.
2times9=18,5times 9=45,4times 9=36,
3times9=27.
Scale factor: 2:1
10 in
5 in
13 in
Scale drawing
Object
A. Side a is 26 inches long, side bis 20 inches long, and side cis 10
inches long
B. Side a is 15 inches long, side bis 12 inches long, and side cis 7
inches long
C. Side a is 11 inches long, side bis 8 inches long, and side cis 3
inches long
D. Side ais 2.5 inches long, side bis 5 inches long, and side cis 6.5
inches long
Answer: A. Side a is 26 inches long, side b is 20 inches long, and side c is 10.
Step-by-step explanation:
Scale factor for drawing = 2:1
Dimensions of drawing : 10 in, 5 in, 13 in
Dimension of object = Scale factor x Dimension of drawing
Sides of object:
2 x 10 in =20 in [b]
2 x 5 in = 10 in [c]
2 x 13 in = 26 in. [a]
Hence, the correct option is
A. Side a is 26 inches long, side b is 20 inches long, and side c is 10.
Answer:
Side a is 2.5 inches long, side b is 5 inches long and side c is 6.5 inches long.
Step-by-step explanation:
When a bottle of milk replacer is made we add 1 cup of powdered milk to a 12 qt bottle. What is the ratio of powder to water?
Answer:
approximately 4 Tbsp. of powdered milk to 1 cup of water
Step-by-step explanation:
Answer:
....................
7 + x + 2 = 9 + 3 Please help!
Answer:
x=3
Step-by-step explanation:
7+x+2=9+3
Step 1: Simplify both sides of the equation.
7+x+2=9+3
(x)+(7+2)=(9+3)(Combine Like Terms)
x+9=12
x+9=12
Step 2: Subtract 9 from both sides.
x+9−9=12−9
x=3
Answer:
x=3
I need help with this!
The length AC in the kite is 8.7 cm.
How to find the side AC in the kite?A kite is a quadrilateral that has two pairs of consecutive equal sides and
perpendicular diagonals. Therefore, let's find the length AC in the kite.
Hence, using Pythagoras's theorem, let's find CE.
Therefore,
7² - 4² = CE²
CE = √49 - 16
CE = √33
CE = √33
Let's find AE as follows:
5²- 4² = AE²
AE = √25 - 16
AE = √9
AE = 3 units
Therefore,
AC = √33 + 3
AC = 5.74456264654 + 3
AC = 8.74456264654
AC = 8.7 units
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Find the remainder when 5^400 is divided by 19
Answer:
the remainder is 0
Step-by-step explanation:
Help me with this math problem
The required probabilities are as follows:
a) P(X=5) = 0.123
b) P(X6) = P(X=6+X=7+X=8+X=9+X=10)
c) P(X4)=P(X=0), P(X=1), P(X=2), and P(X=3)
Using a binomial random variable, the following is modeled:
There are always ten (10) persons that are being questioned.
From trial to trial, the likelihood of success (i.e., very little faith in newspapers) remains consistent (p=0.68).
The trials are impartial (a reasonable assumption, since the response of 1 of the people should not affect the response of any other)
There are just two possible results for each trial: low faith in newspapers or not.
X counts how many of the 10 trials were successful.
P(X=k) = is the probability mass function for the binomial random variable.
= \(^nC_k\times(p^k)\times(1-p)^{n-k}\)
a) P(X=5) =\(^{10}C_5\times(0.68)^5\times(0.32)^5\)≈ 0.123
b) P(X6) = P(X=6+X=7+X=8+X=9+X=10)
These may all be calculated individually, then summed together.
c) P(X4)=P(X=0), P(X=1), P(X=2), and P(X=3)
the same concept as in (b) above.
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Please answer and explain both in laymens terms
After considering the given data we come to the conclusion that the area to the left of z is 0.982, which is Option D. And the standard deviation of the given data is 87.6, which is Option C.
In order to calculate the area to the left of z=2.09 we have to apply the z-table:
1. Search for the row that starts with "2.0" in the leftmost column of the z-table.
2. Then for the column that starts with "0.09" in the top row of the z-table.
3. Here the value at the intersection of this row and column is 0.9821.
4. Finally round this value to three decimal places to get 0.982.
Hence , the area to the left of z=2.09 is 0.982.
Now for the second part of the question
Applying the given data set {10, 26, 84, 48, 250, 56}, we can evaluate the standard deviation as follows:
1. Evaluate the mean:
mean = (10 + 26 + 84 + 48 + 250 + 56) / 6 = 74
2. Applying subtraction of the mean from each data point:
{10 - 74, 26 - 74, 84 - 74, 48 - 74, 250 - 74, 56 - 74}
= {-64, -48, 10, -26, 176, -18}
3. Applying square of the result of step 2:
{(-64)², (-48)², (10)², (-26)², (176)², (-18)²}
= {4096, 2304, 100, 676, 30976, 324}
4. Exercising summation of the result of step 3:
4096 + 2304 + 100 + 676 + 30976 + 324
= 38176
5. Applying division of the result of step 4 by the number of data points (n):
standard deviation = √(38176 / (6 -1))
= √7625.2)
≈ 87.6.
Therefore, the answer is 87.6
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help what's 1x1+9x20
Answer:
The answer is 181
Step-by-step explanation:
PEDMAS
1 x 1 + 9 x 20
1 x 1 = 1
1 + 9 x 20
9 x 20= 180
1+180
which equals 181
Answer:
181
Step-by-step explanation:1x1=1 9x20=180+1=181
Thats your answer my fellow brains
Please help! What is the surface area of the cylinder with height 4 m and radius 8 m? Round your answer to the nearest thousandth.
Make sure to round please.
The surface area of the cylinder is 948m²
What is surface area of cylinder?The area occupied by a three-dimensional object by its outer surface is called the surface area. The surface of a cylinder is expressed as ;
SA = 2πr(r+h)
Where r is the radius of the base and h is the height of the cylinder.
r =8m
h = 4m
SA = 2 × 3.14 × 8 (8+4)
SA = 78.96 × 12
SA = 947.52 m²
to the nearest whole number
SA = 948 m²
therefore the surface area of the cylinder is 948 m²
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4. What is the slope-intercept form of 9x + 3y = 15?
Oy=-3x+5
Oy=3x+5
Oy = 3x - 5
Oy=-3x - 5
The slope-intercept form of the equation 9x + 3y = 15 is y = -3x + 5.
What is slope-intercept form?
The line with m as the slope, m and c as the y-intercept is the graph of the linear equation y = mx + c. The values of m and c are real integers in the slope-intercept form of the linear equation.
The given equation is 9x + 3y = 15.
Rearranging it to get in slope-intercept form -
⇒ 9x + 3y = 15
⇒ 3y = -9x + 15
Dividing LHS and RHS by 3 -
⇒ y = -3x + 5
Here, the equation is the slope-intercept form y = mx + c.
So, the slope is m = -3 in the equation.
Therefore, the slope-intercept form is y = -3x + 5.
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help me plssssssssssss....
I will give brainlist
Answer:
C) 1/3
Step-by-step explanation:
First look at equation: 3x+y=1
re-write as y=mx+b
y=-3x+1
so the slope of this equation i s-3
so if a line is perpendicular to the above equation,
its slope will be reciprocal negative which is 1/3
5 is 1/2% of what number
Find the PERCENT of Change.
The original cost was $50 and the new cost is $200.
Answer:
300%
Step-by-step explanation:
To find percent change we need to use this formula:
\(change = \frac{Amount of change}{Original} * 100\)
To find the amount of change we need to minus 50 from 200:
200 - 50 = 150
Now that we have the amount of change we can plug it in to the equation with the original amount (50):
\(change = \frac{150}{50} = 3 * 100 = 300\)
Therefore, the percent of change is 300%.
I hope this helps!!
- Kay :)
Similar Triangles
A cell phone tower in a field casts a shadow of 100ft. At the same time, a 4 ft 6 in post near the tower casts a shadow of 3 ft 4 in. Find the height of the tower in feet. (Hint: make a drawing)
a. 145 ft
b. 76 ft
c. 100 ft
d. 135 ft
Please select the best answer from the choices provided
Answer:
D. 135 ft
Step-by-step explanation:
I calculated it logically
PLEASE HELP ME ITS ALGEBRA THANKSSSS
Answer:
24 kg
Step-by-step explanation:
21 kg every 7 hr
21kg/7hr = 3kg/hr
This means he prepares 3 kg of dough every hour.
After working 8 hours, he would have prepared (3kg)(8) = 24kg of dough
please help me asap
Answer:
Step-by-step explanation:
it is B
Estimate the difference to the nearest hundredth 8.394-2.199
The subtraction between 8.394 and 2.199 is estimated as 6.2
Subtraction of NumbersTo subtract two or more values from one another, we simply take one of the value from the other. Subtraction is a mathematical operation in mathematics that is aimed at reducing the value of a quantity.
In this case, the subtraction of the two numbers will leave a decimal value.
This is because both number subtracting from one another are decimal numbers
8.394 - 2.199 = 6.195
However, the question clearly asked we estimate the difference between the two values.
What we need to do is round up or round down the numbers to the nearest significant number.
We round down 8.394 ≅ 8 .4
We round up 2.199 ≅ 2.2
Subtracting these two numbers from one another, we would have 6.2
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Sarah predicted that she could text 80 words
per minute on her phone. However, she only
texted 52 words per minute. What was Sarah's
percent error?
Prediction Actual |
| Actual |
Round to the nearest percent.
Hint: Percent error =
-
x 100
Answer:
20
Step-by-step explanation:
percentage error = predictions - actual ÷actual × 100
error
\( \frac{82 - 52 \\ }{52} \times 100\)
=
20