Answer:
y=2x-14
Step-by-step explanation:
y=mx+b(m is slope)
we know
y=2x+b
so if you plug in the values for the points you get
-6=4(2)+b
-6=8+b
b=-14
so then the complete equation would be
y=2x-14
Which fraction is greater?
1/8
or
1/2
Answer:
the answer is 1/2...............
The fraction 1/2 which is equivalent to 4/8 is greater than 1/2.
Given fraction to compare 1/8 or 1/2.
To compare the fraction, the denominator of both fraction should be same.
So, to make denominator same take the LCM of 8 and 2 as
8 = 2 x 2 x 2
2 = 2 x 1
Then, the LCM( 8, 2) = 8.
Now, the fraction can be written as
1/8 or 1/2 x 4/4 = 4/8.
Therefore, the fraction 1/2 is greater than 1/8.
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a stadium with 80 rows has 20 seats in the first rows,30 in the second,and so on.how many total seats are in the stadium
Find the value of x in the following parallelogram: 3 5x - 6 3x-2 x = [?] Enter
Answer:
66
Step-by-step explanation:
Answer: x=2
Step-by-step explanation:
In a children’s book, the mean word length is 3.6 letters with a standard deviation of 2.1 letters. In a novel aimed at teenagers, the mean word length is 4.4 letters with a standard deviation of 2.4 letters. Both distributions of word length are unimodal and skewed to the right. Independent random samples of 40 words are selected from each book. Let xC represent the sample mean word length in the children’s book and let xT represent the sample mean word length in the teen novel.
Find the mean of the sampling distribution of xC-xT
Calculate and interpret the standard deviation of the sampling distribution. Verify that the 10% condition is met.
Justify that the shape of the sampling distribution is approximately Normal.
What is the probability that the sample mean word length is greater in the sample from the children’s book than in the sample from the teen novel?
Answer:
Find the mean of the sampling distribution of xC-xT
Calculate and interpret the standard deviation of the sampling distribution. Verify that the 10% condition is met.
Justify that the shape of the sampling distribution
Step-by-step explanation:
2.4 letters. Both distributions of word length are unimodal and skewed to the right. Independent random samples of 40 words
There are half as many pears as grapes. There are fifteen pears.
Answer:
30 grapes, because there are half as many meaning grapes have twice the amount of the pears present
what is the largest value you can find in the interval (-5,-1)
(-5,-1) is aka -5<x<-1
This means -2 is the largest value you can find.
Perhaps that is if you are on a line graph, or if you are putting this on a line graph put an open circle (○) on -1 and -5 and draw a line in between the numbers. That's also if you are talking about real numbers and not integers this question is a bit too broad for me to actually figure out the true answer.
can someone help me?
Answer:
21
Step-by-step explanation:
the area of a square plot is 1600m². the side of the plot is
Answer:
2800m2
12345667888888
Answer:
400m squared
Step-by-step explanation:
so a square has 4 EVEN sides.. 16 divide 4 is 4 just add the zeros..
Sydney needs $450 to buy a TV for her room.she already saved $50. She earns $20 an hour at her job.set up and solve an equation to find how many hours she needs to work to buy the TV.
8a. Use the expression 28b - 4c. Part A: Factor the expression using the GCF. *
then answer
8b. Use the expression 28b - 4c. Part B: What is the value of the expression when b = -4 and c = 1? Show your work or explain. *
need help for Geometry
△CBE ≅△CDE
Congruent statements for corresponding sides :Side BC is congruent to side CD Side EB is congruent to side EDCongruent statements for corresponding angles :angle ECB is congruent to angle ECDangle BEC is congruent to angle DECUse the information given to answer the question.
Consider the number set.
16, 17, 18, 19
Part A
Which value of j in the number set makes the equation 8(i+1) - 2 = 142 true?
O 16
O 17
O 18
O 19
7/9 z - 18 + 1/3z if z = 27
Answer:
12
Step-by-step explanation:
7/9 x 27 - 18 + 1/3 x 27
Express 7/9 ×27 as a single fraction.
7 x 27 / 9 - 18 + 1/3 x 27
Multiply 7 and 27 to get 189.
189/9 - 18 + 1/3 x 27
Divide 189 by 9 to get 21.
21 - 18 + 1/3 x 27
Subtract 18 from 21 to get 3.
3 + 1/3 x 27
Multiply 1/3 and 27 to get 27/3.
3 + 27/3
Divide 27 by 3 to get 9.
3+9
Add 3 and 9 to get 12.
12
i need help with this down below
Answer:
hi the answer is elven twelths or 11/12
Step-by-step explanation:
first you multiply 1/8 x 2/3 which is 1/12 +5/6= 11/ 12. because you cant simplify it anymore
hope this help
9(2+2p) show distributive property
Answer:
9(2+2p)
9 x2 + 9 x 2p
18 +18p
Select all the equations where y=10y=10y, equal, 10 is a solution.
Answer:
e. po sna makatulong pa heart nalang po salamat
Answer:
Its B and C
Step-by-step explanation:
they both just make sense. And i got the answer right..
Here is a circle and a scaled copy of the circle with a scale factor of `2`.
How does the circumference of the scaled copy compare to the circumference of the original circle?
Scale factor of 2 means green circle is twice the size of blue circle.
If C= πd and 2(d1) = d2, Then the circumference of the image (scaled copy) should be twice the circumference of the object (original circle).
the three angles of a triangle are in the ratio 1:3:5 find the angles
Answer:
The ratio 1:3:5 by doubling each number is the same as 2:6:10 and the big one 10 is 10/(2+6+10) = 10/18 of the total, so multiplying top and bottom by 10 gives 100/180, so the biggest angle is 100° since the sum of all angles must be 180°.
Find the missing side lengths. Leave your answers as radicals in simplest form
30°
X
10V3
y
Answer:
x=20
y=10
Step-by-step explanation:
so as you can see this is a 30-60-90 triangle this means that y is opposite the 30 degree angle so it is 10 root three divided by root three so it is ten and x is 2y=20
a sporting goods manufacturer requires 2/5yd of fabrick to a pair of soccer shorts how many shorts can be made from 4yd of fabric
Answer:
10 pair of soccer shorts.
Step-by-step explanation:
Let the unknown be x.
Translating the word problem into an algebraic equation, we have;
2/5 yard = 1 pair of short
4 yard = x pair of short
Cross-multiplying, we have;
2x/5 = 4
Multiplying both sides by 5, we have;
2x = 20
x = 20/2
x = 10 pair of soccer shorts.
what is the segment AB please help 20 points!!!
Answer:
10
Step-by-step explanation:
the formula you use to find the distance between two points is
square root of (x1-x2)^2+(y1-y2)^2
Amelia had 23 sea shells. Then, she collected 10 more sea shells. After that, she gave S sea shells to her little sister. Which of the following shows how many sea shells she has currently?
Answer:
Step-by-step explanation:
23+10-S = 33-S
m∠FDC=124°; m∠EAB=2x, m∠ACG=4x. Find: x, m∠ACD
Answer:
x=28 degrees
Step-by-step explanation:
4x = 28*4 = 112
180 degrees - 112 = 68
ACD = 68
Help help this is 10 points
Answer:
The anwser you are looking for is number 2
Step-by-step explanation:
Tim have 165 pictures from his winter trip in Alaska. He put 7 pictures on each page of a photo album. How many pages of the album did Tim fill? How many pages did Tim use?
Answer:
23 pages filled but he used 24 because there was 4 pictures left over
Step-by-step explanation:
Juan and his sister collected 108 shells while at the beach. Of the shells they collected, 79 were white. Write and solve an equation that can be used to find how many white shells Juan and his sister collected.
Answer:
108-79=29
Step-by-step explanation:
Answer:
it literally says that 79 of dem were white lol
Step-by-step explanation:
The mean diameter of the rim of Honda tires is 16 inches. Assume that the standard deviation of diameter of the rims is 0.3 inches. For quality control purposes, the diameter of the rims of 9 tires is measured every hour. The manager applies the rule that if the mean of diameter of a rim is greater or equal to 16.25, and lesser or equal to 15.75, the manufacturing should be stopped. If the diameter is between 15.75 and 16.25, the manufacturing process is not to be disturbed. a. Calculate the probability of stopping the manufacturing when the sample mean is 16 inches. b. Calculate the probability of stopping the manufacturing in case the mean is shifted to 16.05 inches. c. Calculate the probability of not disturbing the manufacturing if mean shifts to 16.25 inches.
Answer:
a. 0.0124 = 1.24% probability of stopping the manufacturing when the sample mean is 16 inches.
b. 0.0241 = 2.41% probability of stopping the manufacturing in case the mean is shifted to 16.05 inches.
c. 0.5 = 50% probability of not disturbing the manufacturing if mean shifts to 16.25 inches.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
Assume that the standard deviation of diameter of the rims is 0.3 inches. Samples of 9.
This means that [tex]\sigma = 0.3, n = 9, s = \frac{0.3}{\sqrt{9}} = 0.1[/tex]
a. Calculate the probability of stopping the manufacturing when the sample mean is 16 inches.
Here we have [tex]\mu = 16[/tex]
Higher than 16.25:
This is 1 subtracted by the pvalue of Z when X = 16.25. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{16.25 - 16}{0.1}[/tex]
[tex]Z = 2.5[/tex]
[tex]Z = 2.5[/tex] has a pvalue of 0.9938
1 - 0.9938 = 0.0062
Lower than 15.75:
This is the pvalue of Z when X = 15.75. So
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{15.75 - 16}{0.1}[/tex]
[tex]Z = -2.5[/tex]
[tex]Z = -2.5[/tex] has a pvalue of 0.0062
Probability of stopping:
2*0.0062 = 0.0124
0.0124 = 1.24% probability of stopping the manufacturing when the sample mean is 16 inches.
b. Calculate the probability of stopping the manufacturing in case the mean is shifted to 16.05 inches.
Here we have [tex]\mu = 16.05[/tex]
Higher than 16.25:
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{16.25 - 16.05}{0.1}[/tex]
[tex]Z = 2[/tex]
[tex]Z = 2[/tex] has a pvalue of 0.9772
1 - 0.9772 = 0.0228
Lower than 15.75:
This is the pvalue of Z when X = 15.75. So
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{15.75 - 16.05}{0.1}[/tex]
[tex]Z = -3[/tex]
[tex]Z = -3[/tex] has a pvalue of 0.0013
Probability of stopping:
0.0228 + 0.0013 = 0.0241
0.0241 = 2.41% probability of stopping the manufacturing in case the mean is shifted to 16.05 inches.
c. Calculate the probability of not disturbing the manufacturing if mean shifts to 16.25 inches.
Between 16.25 and 15.75 with [tex]\mu = 16.25[/tex]. This is the pvalue of Z when X = 16.25 subtracted by the pvalue of Z when X = 15.75.
X = 16.25
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{16.25 - 16.25}{0.1}[/tex]
[tex]Z = 0[/tex]
[tex]Z = 0[/tex] has a pvalue of 0.5
X = 15.75
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{15.75 - 16.25}{0.1}[/tex]
[tex]Z = -5[/tex]
[tex]Z = -5[/tex] has a pvalue of 0
0.5 - 0 = 0.5
0.5 = 50% probability of not disturbing the manufacturing if mean shifts to 16.25 inches.
Dillon studied 3 6/7 hours for his English test. He studied 5 3/14 hours for his math test. How much longer did he study for his math test? (Simplify the answer and write it as a mixed number.)
Answer:
[tex]1 \frac{5}{14}[/tex], [tex]\frac{19}{14}[/tex]
Step-by-step explanation:
How much longer did he study for his math test?
[tex]E=3\frac{6}{7}[/tex]
[tex]M=5\frac{3}{14}[/tex]
[tex]x=difference[/tex]
An equation for this would resemble this:
[tex]M- E=x[/tex]
Now before we get into any equation solving let's get the denominators equal to each other. we can do this by multiplying the numerator and denominator by 2. [tex]\frac{6(2)}{7(2)}=\frac{12}{14}[/tex]
Now we can solve the equation:
[tex]5\frac{3}{14} - 3\frac{12}{14} =\frac{19}{14}[/tex]
[tex]1 \frac{5}{14}[/tex], as a mixed number
plz mark me brainliest. :0
What is 2/3 divided by 1/6 ( show your work )
Answer:
4
Step-by-step explanation:
2/3÷1/6
Flip the 1/6 to make it a reciprocal and then multiply
2/3•6/1
simplify by crossing out
2•2 =4
HELP ASAP! I’m very confused and need help! Thank you!