The values of n and p which makes the system of equations true are 10 and 20 respectively.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have system of equation:
p=2n and
p−5=1.5n
Put p = 2n in the other equation.
2n - 5 = 1.5n
2n = 1.5n +5 (add 5 on both sides)
0.5n = 5 (subtract 1.5n on both sides)
n = 10 (divide by 0.5 on both sides)
Put n = 10 in the equation p = 2n
p = 2(10) = 20
Thus, the values of n and p which makes the system of equations true are 10 and 20 respectively.
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Can you make a square triangle with 3 triangles and 2 squares
No we can not make square triangle 3 triangles and 2 squares we can make it by using one square and three triangles.
What is square triangle?A square triangle is a diagram made by using the squares and the triangle simontaneously.
Here in the image below you can see we can make the square triangle by using one square and three tringles.
In the image you can see AOC,AOB and BCD are three triangles and ABCD is one square.
Hence we can not square triangle 3 triangles and 2 squares we can make it by using one square and three triangles.
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Joe opened a bank account with $80. He then withdrew $35 and deposited $115. What is his account balance after these transactions?
$__
Answer
[tex]160[/tex]
Explanation
Based on the given conditions, formulate: [tex]115+80-35[/tex]
Calculate the sum or difference: [tex]195-35[/tex]
Calculate the sum or difference: [tex]160[/tex]
get the result: [tex]160[/tex]
Answer: [tex]160[/tex]
Answer:
$ 160
Step-by-step explanation:
80 -35 +115 = 160
What is the volume of a cylinder with base radius 2 and height 9?
Either enter an exact answer in terms of pi or use 3.14 for pi and enter your answer as a decimal.
Answer:
113.04
Step-by-step explanation:
V of Cylinder = h x r^2 x 3.14 (or pi)
Therefore, V of Cylinder is 9 x 2^2 x 3.14 = 113.04
Sharon has a soap and water mixture that is 36% soap. How many liters of water must
Sharon add to 5 liters of this mixture to make a solution that is 12% soap?
The volume of water that Sharon must add to the 5 liters mixture to make a solution that is 12% soap is 10 liters
Dilution lawFrom the question, we are to determine how many liters of water must Sharon add to 12% soap solution
Using the dilution law formula,
C₁V₁ = C₂V₂
Where C₁ is the initial concentration
V₁ is the initial volume
C₂ is the final concentration
and V₂ is the final volume
From the given information,
C₁ = 36%
V₁ = 5 liters
C₂ = 12%
V₂ = ?
Putting the parameters into the equation, we get
36 × 5 = 12 × V₂
180 = 12V₂
∴ V₂ = 180 / 12
V₂ = 15 liters
This means the final volume of the solution will be 15 liters.
Volume of water that must be added = V₂ - V₁
Volume of water that must be added = 15 liter - 5 liters
Volume of water that must be added = 10 liters
Hence, the volume of water that Sharon must add to the 5 liters mixture to make a solution that is 12% soap is 10 liters.
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Answer:
10 liters
Step-by-step explanation:
hope it helps:3
What is the distance betw
What is the distance between (-2,0) and (-11,0)
The formula in finding the distance between two points is given below:
[tex] \boxed{\bold{\:\:d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \:\:}}[/tex]Now, you know the distance formula. So, let us try solving the given problem using the distance formula.
Problem: What is the distance between (-2, 0) and (-11, 0)?
From inspection on the given problem:
[tex]\sf (x_1, y_1) = (-2, 0)[/tex][tex]\sf (x_2, y_2) = (-11, 0)[/tex]Substitute the given values into the distance formula and solve for d:
[tex]\sf d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex][tex]\sf d = \sqrt{[-11 - (-2)]^2 + (0 - 0)^2}[/tex][tex]\sf d = \sqrt{(9)^2 + (0)^2}[/tex][tex]\sf d = \sqrt{81 + 0}[/tex][tex]\sf d = \sqrt{81}[/tex][tex]\bold{d = 9 \: units}[/tex]Therefore, the distance between two points is 9 units.
[tex]\\[/tex]
Now, wasn't that easy? Try this sample problem:
Find the distance between P(1, 3) and Q(7, 11).From the sample problem above, you may solve it on your own to enhance your skill on calculating the distance.
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Given: ΔDFE is isosceles with base FE; FB ≅ EC.
Prove: ΔDFB ≅ ΔDEC
Triangle D F E is shown. 2 lines drawn down from point D to points C and B on the base of the triangle to form 3 triangles.
Complete the missing parts of the paragraph proof.
We know that triangle DFE is isosceles with base FE and that segment FB is congruent to segment EC because
. Segment DF is congruent to segment
by the definition of isosceles triangle. Since these segments are congruent, the base angles, angles
, are congruent by the isosceles triangle theorem. Therefore, triangles
are congruent by SAS.
Answer:
Step-by-step explanation:
Equivalent to 28xy+16x
Answer:
[tex]4x(7y+4)[/tex]
Jasper was testing H_0: \mu=36H
0
:μ=36H, start subscript, 0, end subscript, colon, mu, equals, 36 versus H_\text{a}: \mu\neq36H
a
:μ
=36H, start subscript, start text, a, end text, end subscript, colon, mu, does not equal, 36 with a sample of 161616 observations. His test statistic was t=2. 4t=2. 4t, equals, 2, point, 4. Assume that the conditions for inference were met. What is the approximate P-value for Jasper's test?
Choose 1 answer:
Answer:
0.02< P-value<0.04
Step-by-step explanation:
Since this P-value is less than the usual significance level of 0.05, we would reject the null hypothesis and conclude that there is evidence of a difference between the true population mean and 36 at the 0.05 level of significance.
What is hypothesis testing?Hypothesis testing is a statistical method that is used to make decisions about a population based on a sample of data.
It involves testing a null hypothesis (H0) against an alternative hypothesis (Ha) using statistical techniques.
We have,
To find the P-value for Jasper's test, we need to use the t-distribution with degrees of freedom (df) equal to the sample size minus one,
which is 16-1=15 in this case.
Using a t-table or a calculator, we can find that the two-tailed P-value for t=2.4 with df=15 is approximately 0.029.
This means that if the null hypothesis is true (i.e., if the true population mean is 36), the probability of observing a sample mean as extreme as or more extreme than the one obtained by Jasper is 0.029.
Thus,
Since this P-value is less than the usual significance level of 0.05, we would reject the null hypothesis and conclude that there is evidence of a difference between the true population mean and 36 at the 0.05 level of significance.
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Suppose A< - 1 what must be true about the value of b so that ab< a
Answer:
b must be positive
Step-by-step explanation:
if a is less than -1
that means to get smaller numbers
b needs to be positive
so that when a is multiplied by b you would have
numbers that are more negative
Answer:
b > 1
Step-by-step explanation:
Given:
a < -1 ab < aSubstituting a = -1 into ab < a
⇒ (-1)b < -1
⇒ -b < -1
⇒ b > 1
If a < -1 then a is negative. If ab < a then ab is also negative.
In order for ab to be negative (when a is negative) b must be positive.
For ab < a then b > 1.
Proof
If b = 0.5 and a = -1.5 then ab = -0.75
As -0.75 > -1.5 then ab > a so this cannot be true.
If b = 1.5 and a = -1.5 then ab = -2.25
As -2.25 < -1.5 then ab < a so this is true.
Therefore b > 1
Easy Middle school math not high school. I have been absent for the past 2 days at school and they were talking about range, mode, median, quartile, and I think that is it. It would really help if you guys can help me do all of this work :) The pictures are the ones that I have been stuck on. Will give brainlist mobob LOL
Answer:
57
Step-by-step explanation:
This is because, in order to find the range you need to set the order from lowest to highest and subtract the lowest from the highest. So in this case the lowest would be 117 and the highest would be 174. So when you subtract them you get 57.
Answer:
1) Range = 57
2) Range = 12
3) Median = 88, First Quartile = 84, Third Quartile = 92, Interquartile = 8
4) Median = 81.5, Median of lower half = 67, Median of upper half = 92,
Describe the spead of the data = ______
*We cannot see the drop-down answer choices for this part of the question, so we cannot give an answer. Sorry.
5) a. Range = 172 points, Interquartile Range = 42 points
b. Outlier = 193, Range without the Outlier = 101 points, Interquartile Range without the Outlier = 48.5 points
c. The outlier affected the __________ more.
*We cannot see the drop-down answer choices here, so we cannot answer this part of the question. Sorry.
Good Luck! I hope this helps!
Step-by-step explanation:
1) Find the range of the data.
133, 117, 152, 127, 168, 146, 174.
First, put the numbers in ascending order:
117, 127, 133, 146, 152, 168, 174
To find the range, subtract the smallest number from the largest number.
174 - 117 = 57
So, the range is 57.
2) Find the range of the data.
26, 21, 27, 33, 24, 29
First, put the numbers in ascending order.
21, 24, 26, 27, 29, 33
To find the range, subtract the smallest number from the largest number.
33 - 21 = 12
So, the range is 12.
3) Find the median, first quartie, third quartile, and interquartile range of the data. 84, 75, 90, 87, 99, 91, 85, 88, 76, 92, 94
First, put the numbers in ascending order.
75, 76, 84, 85, 87, 88, 90, 91, 92, 94, 99
The median is the value in the middle, so in this case, it is 88.
To find the first quartie, third quartile, and interquartile, we must split the numbers into quarters.
75 76 84 85 87 88 90 91 92 94 99
The first quartile is 84.
The third quartile 92.
The interquartile is the first quartile subtracted from the third quartile, so
92 - 84 = 8.
4) Use grid paper to find the median of the data. Then find the median of the lower half and the median of the upper half of the data.
82, 62, 95, 81, 89, 51, 72, 56, 97, 98, 79, 85
First, put the numbers in ascending order.
51, 56, 62, 72, 79, 81, 82, 85, 89, 95, 97, 98
Find the median which is the middle of the values.
51 56 62 72 79 81 82 85 89 95 97 98
In this case, it is between 81 and 82, so we find 81+82 / 2 = 81.5.
The median is 81.5.
The median of the lower half of the data is the value in the middle of the first 6 of the 12 numbers. 51 56 62 72 79 81
We need to find 62+72 / 2 = 134 /2 = 67, so the median of the lower half of the data is 67.
The median of the upper half of the data is the value in the middle of the last 6 of the 12 numbers. 82 85 89 95 97 98
We need to find 89+95 / 2 = 184 / 2 = 92, so the median of the upper half of the data is 92.
Describe the spread of the data.
The data are ___________ . (We cannot see the drop-down options, so cannot answer this part of the question. Sorry.)
5) The table shows the number of points scored by players on a basketball team. 21 53 74 82 84 93 103 108 116 122 193
a. Find the range and interquartile range of the data.
To find the range, subtract the smallest number from the largest number.
193 - 21 = 172
The range is 172 points.
To find the interquartile range, we must split the numbers into quarters.
21 53 74 82 84 93 103 108 116 122 193
The first quartile is 74.
The third quartile 116.
The interquartile is the first quartile subtracted from the third quartile, so
116 - 74 = 42.
The interquartile range is 42 points.
b. Use the interquartile range to identify the outlier(s) in the data set.
Find the range and the interquartile range of the data set without the outlier(s).
21 53 74 82 84 93 103 108 116 122 193
Per Wikipedia, "In statistics, an outlier is a data point that differs significantly from other observations."
Per statology.org, "One popular method is to declare an observation to be an outlier if it has a value 1.5 times greater than the interquartile (IQR) or 1.5 times less than the IQR."
From statology. org:
(Note: Q1 = first quartile, Q3 = third quartile, IQR = interquartile)
The lower limit is calculated as:
Lower limit = Q1 – 1.5 * IQR = 74 – 1.5 * 42 = 74 - 63 = 9.
The lower limit of outliers is 9 points.
And the upper limited is calculated as:
Upper limit = Q3 + 1.5 * IQR = 116 + 1.5 * 42 = 116 + 63 = 179.
The upper limit of outliers is 179 points.
The outlier is 193 points.
To find the range without the outlier, subtract the smallest number from the largest number.
21 53 74 82 84 93 103 108 116 122
122 - 21 = 101 points
The range without the outlier is 101 points.
To find the interquartile range wthout the outlier, we must split the numbers into quarters.
21 53 74 82 84 93 103 108 116 122
The first quartile is 53+74 / 2 = 127 / 2 = 63.5.
The third quartile 108+116 / 2 = 224 / 2 = 112.
The interquartile is the first quartile subtracted from the third quartile, so
112 - 63.5 = 48.5.
The interquartile range without the outlier is 48.5 points.
c. Which measure did the outlier affect more?
The outlier affected __________ more. (We cannot see the drop-down options, so cannot answer this part of the question. Sorry.)
Which expression is equivalent to
(
3
4
7
5
)
3
?
If angle b measures 25°, what is the approximate perimeter of the triangle below? a right triangle is shown. angle a is 90 degrees and angle b is 25 degrees. side a b has a length of 4. 10.3 units 11.8 units 22.1 units 25.2 units
Answer:
Step-by-step explanation:
I think the answer is 10.48 or 10.3, It was a little difficult because I solved this multiple ways but I do believe 10.48 is more accurate, I apologize however if I am wrong.
Answer:
10.3
Step-by-step explanation:
its right
if john has 5 apples in he gives 2 two his friend how many will have in all
Answer:
5 apples
Step-by-step explanation:
Answer:
3 5-2=3
Step-by-step explanation:
what’s the area and the perimeter and of the triangle?
Answer:
A: 7.75 meter square
P: 16m
Step-by-step explanation:
Area: Formula : Take Base x Height then divided by 2
Perimeter: Formula : Add up all the exterior side of the triangle
Hope it helped
Have a nice day of studying :>
Clara visits the aquarium
from her hotel. She walks á mile to the bus stop, takes the bus for
or 1
miles, and walks the rest of the way to the aquarium.
How far did Clara walk after getting off the bus?
Answer:
The total distance walked to the aquarium is 1/2 miles.
Step-by-step explanation:
What distance did she walk? Distance walked = 2 1/2 - (1/4 + 1 3/4) = 2 1/2 - 2 =1/ 2 miles
The heights of two groups of students in different grades are shown in the box-and-whisker plot below.
Which statement correctly compares the two data sets?
A.
The range of group A is less than the range of group B.
B.
The median of group A is less than the median of group B.
C.
The interquartile range of group A and group B is the same.
D.
The first quartile of group A is greater than the first quartile of group B.
Answer:
D
Step-by-step explanation:
The first quartile of group A is greater than the first quartile of group B.
Ellie missed 76 questions on her multiple choice history final and earned a grade of 62%. How many total questions were on the final exam?
Answer:
200 questions on the final exam.
Step-by-step explanation:
38% = 76 questions, 100% = 2.63157894737 x 76 = 200
(100/38=2.63157894737 hence this is the answer)
-2(0)+2y=6
please help now I need to get this done please thank you
Answer:
y=3
Step-by-step explanation:
Multiply -2 by 0 to get 0. Now to get y alone, divide 6 by 2 to get the answer y=3.
(PLEASE HELP) Select the correct answer.
Yuri surveyed randomly selected middle school students in his neighborhood. He found that around 60% of them plan to participate in a charity walk organized by the town council. What is the estimated probability that it will take at least six middle school students to find one who doesn't plan to participate in the charity walk?
Use the table of simulated values to answer the question. The numbers 0 to 5 represent middle school students planning to participate in the charity walk, and 6 to 9 represent those who are not planning to participate.
7 1 0 7 8 8 8 5 3 0 3 0 0 5 7 3 8 5 4 6 5 6 6 4 2
9 3 0 7 7 9 2 5 4 4 5 4 0 2 8 4 8 3 9 8 4 0 0 8 1
4 4 4 1 4 7 0 2 7 3 8 9 3 9 8 5 2 4 7 6 7 6 1 7 1
9 3 4 7 2 4 5 4 3 2 2 6 6 2 6 3 8 5 3 2 7 5 9 6 2
9 5 4 2 7 1 5 7 1 1 8 8 4 4 1 1 0 2 0 4 5 0 5 1 6
5 1 3 0 6 8 3 3 1 6 2 0 6 9 5 3 1 5 4 2 6 2 5 6 9
7 0 8 4 9 5 8 0 0 1 6 6 2 2 4 8 1 8 7 9 4 4 8 7 7
9 6 7 8 7 2 8 6 0 8 1 0 4 6 8 1 8 3 1 7 2 2 4 2 6
6 0 7 0 2 3 6 4 3 0 1 8 2 5 7 5 5 5 1 8 3 8 9 7 7
5 6 7 2 5 8 4 3 5 1 7 8 6 0 5 6 1 9 3 6 3 1 1 0 5
A.
0.02
B.
0.10
C.
0.30
D.
0.60
Answer:
The answer is C (0.30) are NOT going to particulate
Step-by-step explanation:
We can find the answer by simply putting all of the results into order, which gives the following for the non-participants:
28: 6's
27: 7's
29: 8's
15: 9's
Now to find the answer, we must know the total amount of results, which I found to be 250. We also need to know the total amount of non-participants there are, which is 99. So if we take 99 and divide it by 250 (99/250); we get 0.396. Although this isn't the exact answer, it is the closest.
To further prove that this should be right, Yuri found 60% of students to participate, which leaves around 40% left to not participate. So this should be right.
Hope this helps! - SC
(Let me know if it's wrong so I can change my answer if needed).
PLSSS HELP IF YOU TURLY KNOW THISS
Answer:
=
Step-by-step explanation:
lcm = 8 so you multiply the numerator of 2 1/2 1 x 4 = 4 4 is your numerator and 8 is your denominator 2 4/8 = 2 4/8 you can simplify to 2 1/2 too
Answer:
2 4/8 = 21/2 Equal To =
Step-by-step explanation:
2 4/8
Also equal to 2 1/2
Since reducing fractions 4/8 simplified is 1/2
2 4/8 = 21/2
Please help I need help thank you so much
Put in order from greatest to least: -5, -10, -1/2, -2.5, -0.25
Answer:
-0.25, -1/5, -2.5, -5, -10
Step-by-step explanation:
A bakery sold 154 mocha cupcakes in a day, which was 35% of the total number of cupcakes sold that day. How many total cupcakes did the bakery sell that day?
Answer:
440
Step-by-step explanation:
If we have the information that 154 mocha cupcakes = 35% of the total cupcakes sold on a certain day, then to find the total number of cupcakes old that day, we can set up a simple proportion.
So, with x = the unknown number of total cupcakes
35% = 154 / x
==>
35 / 100 = 154 / x
We can use cross-multiplication to simplify to ==>
35x = 15,400
Now we divide both sides by 35 to isolate our variable ==>
x = 440
So, the total number of cupcakes sold that day (100%) was 440 cupcakes
I need help with these two trigonometry problems.
Find each measurement indicated. Round your answers to the nearest tenth.
Answer:
[tex]B \approx 32.1\°; A \approx 39.0\°[/tex]
Step-by-step explanation:
Sine theorem: in any triangle, the ratio between a side and the sine of the opposite angle is constant
[tex]\frac{sin\ \alpha}a = \frac{sin\ \beta}b =\frac{sin\ \gamma}c[/tex]
In our case, for the left triangle,
[tex]\frac {sin\ 103\°}{11} =\frac{sin\ B} 6 \rightarrow sin\ B = \frac6{11} sin\ 103\°[/tex]
Time to grab a calculator and crunch numbers. Double check your calculator is in degrees and not in radians (plug in sin 30°, if you're getting 0.5 you're good) and you will get
[tex]sin\ B \approx 0.53 \rightarrow B \approx 32.1\°[/tex]
Same difference with the right triangle. With the same calculations
[tex]sin\ A = \frac{26}{41} sin 83\° \approx 0.68 \rightarrow A \approx 39.0\°[/tex]
EXERCISES
1
The number of goals for the 13 players on a soccer team are
4, 9, 0, 1,1, 2, 0, 0, 2, 8, 8, 3, 1. Find the median, lower quartile, and
upper quartile. Then make a box plot for the data.
Answer:
Step-by-step explanation:
4, 9, 0, 1,1, 2, 0, 0, 2, 8, 8, 3, 1.
Arrange in ascending order:
0, 0, 0, 1, 1, 1, 2, 2, 3, 4, 8, 8, 9.
The median = middle value = 2.
Lower quartile = 0.5
Upper quartile = 6.
6. Interest is compounded semianually. Find the amount in the account after the given time.
The amount in the account after the given time if compounded semiannually is $1104.2
Compound interestInterest is any amount added on a sum of money over a period of time. The formula for calculating the compound interest is:
A = P(1+r/n)^nt
Given
P = $1000
rate r = 0.05
time =3years
n = 2
Substitute
A = 1000(1 + 0.05/3)^3(2)
A= 1000(1.1042)
A = $1104.2
Hence the amount in the account after the given time if compounded semianually is $1104.2
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Find P(B|C). P(B|C) = StartFraction 9 Over 34 EndFraction = 0. 26 P(B|C) = StartFraction 9 Over 24 EndFraction = 0. 38 P(B|C) = StartFraction 9 Over 70 EndFraction = 0. 13 P(B|C) = StartFraction 9 Over 58 EndFraction = 0. 16.
The question is an illustration of probability, and the value of P(B|C) is P(B|C) = 9/24 =0.38
How to determine the probability P(B|C)?The table is given as:
C D Total
A 15 21 36
B 9 25 34
Total 24 46 70
The probability (BIC) is calculated using:
P(B|C) = n(B and C)/n(C)
From the table, we have:
n(B and C) = 9
n(C) = 24
So, the equation becomes
P(B|C) = 9/24
Evaluate
P(B|C) = 0.38
Hence, the value of P(B|C) is P(B|C) = 9/24 =0.38
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Answer:
B
Step-by-step explanation:
just did it
Joe filled a 10-cup watering can with water. He then poured some of the water on his tomato plants.
How can Joe find out how much water he used for his tomato plants?
Answer:
He can find how much water he has left after watering his plants, and subtract it by how much he started with.
By using a measuring cup. This would help him find the amount of water left in the can, which then the amount of cups would be subtracted from 10.
Maria reads 1/5 book in a week jada reads 8 times as many books os Moria in a week How many books does Jado read in a week
Answer: 1⅗
Step-by-step explanation:
Mora = ⅕ × 8 = 1⅗
I NEEED HELP QUICK!!!