What is the equation of the given line in standard form?
–6x + 7y = –17
–6x + 11y = –13
–11x + 6y = –13
–6x +11y = 13
Answers
Related Questions
It is generally believed that nearsightedness affects about 15% of all children. A local elementary school registered 120 incoming kindergarteners.
Note that this scenario is talking about a sampling distribution since this school is a sample of size 120. Therefore, you will need to calculate the standard deviation using a formula before using the normalcdf and invNorm commands.
a) What is the mean of the sampling distribution of all samples like this:
b) What is the standard deviation of the sampling distribution of all samples like this:
Give the formula with values that you entered in your calculator as a way of showing your work:
Give your final answer rounded to 4 decimal places:
c) What is the probability that less than 10% of the incoming kindergarteners are nearsighted?
Give the command and values you used as a way of showing your work:
Give your final answer rounded to 4 decimal places:
d) If this school measures at the 80th percentile for all incoming kindergarten classes of size 120, what proportion of incoming kindergarteners are nearsighted?
Give the command and values you used as a way of showing your work:
Give your final answer rounded to 2 decimal places:
Answers
Using the normal distribution and the central limit theorem, it is found that:
a) The mean is of 0.15.
b) The standard deviation is of 0.0326.
c) There is a 0.063 = 6.3% probability that less than 10% of the incoming kindergarteners are nearsighted.
d) 0.1774 of incoming kindergarteners are nearsighted.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It 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, which is the percentile of X.By the Central Limit Theorem, for a proportion p in a sample of size n, the sampling distribution of sample proportion is approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1 - p)}{n}}[/tex], as long as [tex]np \geq 10[/tex] and [tex]n(1 - p) \geq 10[/tex].In this problem:
It is generally believed that nearsightedness affects about 15% of all children, hence p = 0.15.A local elementary school registered 120 incoming kindergarteners, hence n = 120.Item a:
[tex]\mu = p = 0.15[/tex]
The mean is of 0.15.
Item b:
[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.15(0.85)}{120}} = 0.0326[/tex]
The standard deviation is of 0.0326.
Item c:
The probability is the p-value of Z when X = 0.1, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{0.1 - 0.15}{0.0326}[/tex]
[tex]Z = -1.53[/tex]
[tex]Z = -1.53[/tex] has a p-value of 0.063.
There is a 0.063 = 6.3% probability that less than 10% of the incoming kindergarteners are nearsighted.
Item d:
The proportion is X when Z has a p-value of 0.8, so X when Z = 0.84.
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]0.84 = \frac{X - 0.15}{0.0326}[/tex]
[tex]X - 0.15 = 0.84(0.0326)[/tex]
[tex]X = 0.1774[/tex]
0.1774 of incoming kindergarteners are nearsighted.
To learn more about the normal distribution and the central limit theorem, you can check https://brainly.com/question/24663213
PLEASE HELP
Given a graph for the transformation of f(x) in the format g(x) = f(x) + k, determine the k value.
two parabolas open up with f of x passing through negative 3 comma negative 3 and g of x passing through negative 3 comma 1
A. k = −3
B. k = 1
C. k = 4
D. k = 5
Answers
Look up to their vertexes
f(x) has vertex at (-3,-3)g(x) has vertex at (-3,1)So
[tex]\\ \rm\rightarrowtail g(x)=f(x)+k[/tex]
[tex]\\ \rm\rightarrowtail g(-3)=f(-3)+k[/tex]
[tex]\\ \rm\rightarrowtail 1=-3+k[/tex]
[tex]\\ \rm\rightarrowtail k=1+3[/tex]
[tex]\\ \rm\rightarrowtail k=4[/tex]
The required value of K for the transformation of f(x) is 4. Option C is correct.
Given that,
Graph for the transformation of f(x) in the format g(x) = f(x) + k,
To determine the k value.
Two parabolas open up with f(x) passing through (- 3, - 3)and g(x) passing through (-3, 1).
A parabola is a cross section cut out of the cone and represented by an equation
Here,
Since equation of transformation is g(x) = f(x) + k
Now put the values of the vertex in the transformation equation,
f(x) passing through (- 3, - 3)and g(x) passing through (-3, 1).
f(-3) = -3
g(-3) = 1
g(-3) = f(-3) + k
1 = -3 + k
k = 1 + 3
k = 4
Thus, the required value of K for the transformation of f(x) is 4. Option C is correct.
Learn more about parabola here:
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Angles A and B are supplementary. Angle A has a measure of 80°. What is the measure of angle B?
The measure of angle B is
°.
Answers
Answer:
100
Step-by-step explanation:
GIVING BRAINLIEST TO WHOEVER GETS THIS CORRECT!
What is the unit rate for meters per second if a car travels 374 meters in 17 seconds?
Answers
Answer:22
374meters. 17
(/). divided by (/)
17seconds 17
Equals 22 meters per second
Step-by-step explanation:
One and two step equations
7x-2=-9
Plz asap can y’all explain step by step plzzz it’s for a homework
Answers
Answer:
Step 1: Add 2 to both sides.
7x−2+2=−9+2
7x=−7
Step 2: Divide both sides by 7.
7x/7 = -7/7
Answer: x=−1
Answer:
x=-1
Step-by-step explanation:
7x-2=-9 (Given)
7x=-7 (Add 2 on both sides to eliminate he -2 on the left side)
x=-1 (Divide both sides with 7 to eliminate the 7 in 7x)
Answer: x=-1
Helpppppppppppppppppl
Answers
Answer:
C
Step-by-step explanation:
Rotates then reflects over the y axis.
Answer:
C) rotation, then reflection
Step-by-step explanation:
1. rotates to spot 2. then reflects to spot 3.
Kosi traced a rectangle on a coordinate grid. The rectangle had the following vertices: (−6, 5), (2, 5), (2, –1), and (–6, –1). Which of the following numbers are dimensions of the rectangle? Select each correct answer. A. 4 units B. 5 units C. 6 units D. 7 units E. 8 units F. 9 units. help, please!.
Answers
Answer:
C) 6 units
E) 8 units
Step-by-step explanation:
Kosi traced a rectangle on a coordinate grid. The rectangle had the following vertices: (−6, 5), (2, 5), (2, –1), and (–6, –1). Which of the following numbers are dimensions of the rectangle? Select each correct answer. A. 4 units B. 5 units C. 6 units D. 7 units E. 8 units F. 9 units. help, please!.
When given vertices for a geometric shapes we find the lengths of the side by using the formula:
When(x1, y1) and (x2, y2)
= √(x2 - x1)² + (y2 - y1)²
A= (−6, 5),B = (2, 5), C = (2, –1), and D = (–6, –1).
For AB
A= (−6, 5),B = (2, 5),
= √(2 -(-6)² + (5 - 5)²
= √8² + 0
= √64
= 8 units
For BC
B = (2, 5), C = (2, –1),.
√(2 - 2)² +(-1 - 5)²
= √0 + -6²
= √36
= 6 units
For CD
C = (2, –1), and D = (–6, –1).
= √(-6 -2)² + (-1 -(-1))²
= √-8² + 0²
= √64
= 8 units
For AD
A= (−6, 5), D = (–6, –1).
= √(-6 -(-6))² + (-1 - 5)²
= √0² + -6²
= √36
= 6 units
Therefore, the following numbers that are dimensions of the rectangle is
C) 6 units
E) 8 units
How to get -70 from 24/12+72/8-9
Answers
Answer:
Step-by-step explanation:
24/12 = 2
72/(8 - 9) Be sure and use brackets when you post a question. 8 - 9 = - 1
72/-1 = - 72
2 - 72 = - 70
7th grade help me plzzz
Answers
Tom got 7 over 8 pound of honey from a hive. He calculated the quotient of 7 over 8 ÷ 2 over 5. Which statement shows the quotient and gives the most likely explanation of what Tom was trying to determine?
He can make 14 over 40 of a bottle of honey with 2 over 5 pound of honey in each bottle.
He can get 14 over 40 pound of honey if he divides the honey into 2 over 5-pound portions.
He can get 2 and 3 over 16 pounds of honey if he divides the honey into 2 over 5-pound portions.
He can make 2 and 3 over 16 bottles of honey with 2 over 5 pound of honey in each bottle.
Answers
Answer:
D.
Step-by-step explanation:
if he divides (7/8) / (2/5)
he will get x bottles of honey if each bottle weighs 2/5 pound
Find the point-slope equation of the line using the point (1,2) and slope of 3/2.
Use the slash key (/) to indicate a fraction.
Answers
Answer:
y=3/2 x + 1/2
Step-by-step explanation:
please see attached picture
luke rolls a 10-sided solid with equal-sized faces labeled 1 to 10. what is the probability of rolling a 4?
help giving out 10 points to those who help and the right answer!
Answers
1 out of 10, or [tex]\frac{1}{10}[/tex]. It is unlikely to occur.
Solve for x:
(4*11-x+4=33)
Answers
Step-by-step explanation:
[tex]4\cdot \:11-x+4=33[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:4\cdot \:11=44[/tex]
[tex]44-x+4=33[/tex]
[tex]\mathrm{Group\:like\:terms}[/tex]
[tex]-x+44+4=33[/tex]
[tex]\mathrm{Add\:the\:numbers:}\:44+4=48[/tex]
[tex]-x+48=33[/tex]
[tex]\mathrm{Subtract\:}48\mathrm{\:from\:both\:sides}[/tex]
[tex]-x+48-48=33-48[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]-x=-15[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}-1[/tex]
[tex]\frac{-x}{-1}=\frac{-15}{-1}[/tex]
[tex]Simplify[/tex]
[tex]x=15[/tex]
Answer:
Okay so yes the answer is 15
Step-by-step explanation:
It begins with 4X11 which is 44
So the equation becomes 44-x+4=33
Then I add 44 plus 4 which is me adding all the available terms which is 48
Then I subtracted 33 from 48 to find the value of x
And 48-33=15
So there you pretty much have it.
To be sure you can plug the answer in.
4x11=44
44-(x) which is 15 so 44-15=29
29+4=33
There ya have it!
the of difference numbers is 1 and their product is 132
Answers
Answer:
11 and 12 or -11 and -12
Step-by-step explanation:
What's the solution to 2x – 2 > 2x + 4?
Answers
Consider the inequality first ;
[tex]{:\implies \quad \sf 2x-2\> 2x+4}[/tex]
Subtracting 2x from both sides ;
[tex]{:\implies \quad \sf \cancel{2x}-2-\cancel{2x}\> \cancel{2x}+4-\cancel{2x}}[/tex]
[tex]{:\implies \quad \sf -2\> 4}[/tex]
But , as the given situation isn't possible in mathematics , so the inequality have no solutions . Or [tex]{\bf{x\in \phi}}[/tex] , where [tex]\bf \phi[/tex] is the empty set.
there is more than one question! please help ! i have been struggling all day and today i’m on a time limit !
Answers
Answer:
3(5h - 2g)
= 3×5h - 3×2g
= 15h - 6g
5(12g - 4f)
= 5×12g - 5×4f
= 60g - 20f
2(h - 3g)
= 2×h - 2×3g
= 2h - 6g
4(3x - g) + 4x
= 4×3x - 4×g + 4x
= 12x - 4g + 4x
= 16x - 4g
9(4g + 1) - 5g
= 9×4g + 9×1 - 5g
= 36g + 9 - 5g
= 31g + 9
Below is an image of 64 = 8 What would the image look like to show 100 ?
Answers
Answer: 10 rows of 10
Step-by-step explanation:
A cylidrical container of height 28cm and diameter of 18cm is with water. The water is then poured into another container with a rectangular base of length 27cm and width 11cm . Calculate the depth of the in the container.
Answers
Answer:
23.9894949495cm is the depth of the container.
Step-by-step explanation:
Cylindrical container:
height: 28
radius: 9 (or 18/2)
pi * 9² = 254.4690049408
254.4690049408 * 28 = 7,125.1321383424 cm²
cylidrical container area: 7,125.1321383424cm²
Container:
length: 27cm
width: 11cm
27 * 11 = 297
7,125.1321383424 / 297 = 23.9894949495cm
I assume that the container with rectangular base is precisely full when tou pour the water into it.
And that your question was how deep the container was.
Jack draws a pattern of 2 cm wide strips on the wall in the following order: a red strip, a blue strip, an orange strip, a pink strip, and then he repeats the colors in the same order. How long is Jack's pattern if the first and last stripes he painted were red, and he painted six red strips in total?
Answers
Answer:
His pattern is 42cm long.
Step-by-step explanation:
Each repetition of the pattern is 8 cm (4 colors time 2cm each)
If the last color is red and he painted 6 red strips in total, then he repeated the pattern 5 times and ended on an extra red strip.
So 8cm times 5 repetitions equals 40, plus 2cm for the extra red strip.
Technology required. Find the missing measurements.
Answers
Answer: 40.82
Step-by-step explanation:
Use pythagoras theorem to solve
Root 35 squared + 21 squared = 40.82
A different camera is selling for $7.50 off the regular price. It was marked down 15%. A student used the equation:
15(7.5) = Original price
and found the regular price of the camera to be $112.50.
Explain the error(s) in the student’s work.
Answers
Answer:
The original price is $50. The student's mistake in the equation is that he should have done 7.5/0.15
The student should not have multiplied, instead divided. He also didn't put 15 in a decimal form, which would have messed the whole equation up.
Answer:
The student should have divided the discounted amount by the percent. The percent should have been written as a decimal.
Step-by-step explanation:
that is what it says in the simple reponse
The area of the triangle below is 4.06 square meters. What is the length of the base?
2.8 m
ET
Answers
Answer:
2.9m
Step-by-step explanation:
Hope this helps! Have a great day!
P.S. Brainliest helps me reach more people and shows that I have reliable answers :D
Write the equation in point slope form of the line that passes through the given point with the given slope (8.7,2.1);5.9
Answers
Therefore, 2.1= 8.7x+5.9
3x + y = 16
X + y = 8
What are x and y
Answers
Find x-intercept
The x-intercept is where the graph crosses the x-axis. To find the x-intercept, we set y1=0 and then solve for x.
3x + y = 16
3x + 1(0) = 16
x1 = 5.333 y1 = 0
Find y-intercept
The y-intercept is where the graph crosses the y-axis. To find the y-intercept, we set x2=0 and then solve for y.
3x + y = 16
3(0) + y = 16
y2 = 16 x2 = 0
A factory made 2400 tools in 30 days.how many tools did it make in one day
Answers
Answer:
80 tools in one day
Step-by-step explanation:
30 = 2400
÷ 30
1 = 80
whats 1 and 5\5 as an improper fraction
Answers
Answer:
2 over 1
Step-by-step explanation:
step 1
multiply the denominator by the whole number
5×1=5
step 2
add the answer from step 1 to the numerator
5+5=10
step 3
write answer from step 2 over the denominator
10/5
10÷5=2 so,the answer is 2 over 1
5÷5=1
A random sample of 10 size AA batteries for toys yield a mean of 3.27 hours with standard deviation, 0.68 hours.
(a) Find the critical value, t*, for a 99% CI. t* =
(b) Find the margin of error for a 99% CI.
Answers
Answer:
can u also help me if i help u?
Step-by-step explanation:
Brainliest if correct
Answers
Answer:
[tex]\frac{13}{15}[/tex]
Step-by-step explanation:
[tex]\frac{2}{3}+\frac{1}{5}=\frac{10}{15}+\frac{3}{15}=\frac{13}{15}[/tex]
PLEASE HELP 100 POINTS!!
Mr. Williams needs his computer hooked up to every station in the school. Not every station is connected to every other station. The cost of connecting various stations is represented in the graph below. What is the cost of the minimum spanning tree using Kurskal's Algorithm?
A) 58
B) 60
C) 62
D) 64
Answers
We need the diagonal of rectangle
AE=perpendicular=10=BBase=EH=8+9+7=24=BHypotenuse be H
Apply Pythagorean theorem
[tex]\\ \rm\Rrightarrow H^2=P^2+B^2[/tex]
[tex]\\ \rm\Rrightarrow H^2=10^2+24^2[/tex]
[tex]\\ \rm\Rrightarrow H^2=26^2[/tex]
[tex]\\ \rm\Rrightarrow H=26[/tex]
Bro I have the hardest test Can y’all help me it’s 1+1
Answers
Answer:
I think it's 12 bro, I'm not sure