Answers
Answer:
it's option b that is the right answer
Related Questions
Use the given conditions to write an equation for the line in point-slope form
Passing through (7,3) and (4,4)
OA
1
1.
y-3 = - =(x-
5(x-4) or y-4 = - 3(x - 7)
B.
1
1
y-3= - 3(x-7) or y- 4= - 3(x - 4)
O C. y - 3 = 7(x + 7) or y-4= 4(x-3).
OD
1
1
y + 3 = - 3(x+7) or y+4= - 3(x+4)
Answers
Answer:
(Y-3)= -1/3(x-7)
Or
(Y-4)= -1/3(x-4)
Steb by step explanation:
The condition for the line is (7,3) and (4,4).
Point slope form of equation is in this format below.
(Y-y1)= m(x-x1)
We have the given parameters in the above format except the m
M = gradient
Gradient= (y2-y1)/(x2-x1)
Gradient=(4-3)/(4-7)
Gradient= 1/-3
Gradient= -1/3
So
(Y-y1)= m(x-x1)
(Y-3)= -1/3(x-7)
Or
(Y-4)= -1/3(x-4)
Farid is baking muffins, The recipe calls for 3/4 cup of sugar for a full batch. Farid is making 1/2 of a batch. Write an expression for the amount of sugar Farid needs to make 1/2 of a batch of muffins. WILL GIVE BRAINLIEST, THANKS, AND FIVE STARS PLZ HELP ME
Answers
Answer:
y = 3/8x
or
3/8 cups of sugar for every 1/2 batch of muffins
Step-by-step explanation:
Since we are only making 1/2 of the full batch of muffins, we only need to use 1/2 the cups of sugar:
[tex]\frac{3}{4} (\frac{1}{2} )= \frac{3}{8}[/tex] cups of sugar.
Answer:
[tex]\frac{x}{2} = \frac{3y}{8}[/tex]
Step-by-step explanation:
Let the batch be x and the amount of sugar be y
Condition:
x = [tex]\frac{3}{4} y[/tex]
Multiplying both sides by 1/2
[tex]\frac{1}{2} x = \frac{3}{4}y * \frac{1}{2}[/tex]
[tex]\frac{x}{2} = \frac{3y*1}{4*2}[/tex]
[tex]\frac{x}{2} = \frac{3y}{8}[/tex]
So, For 1/2 batch of muffins, Farid need 3/8 cups of sugar.
6th grade math , help me please:)
Answers
Answer:
(a) $7/ticket
(b) 3 cats/dog
(c) 10 ft/sec
(d) 16 cups/gal
Step-by-step explanation:
(a) $35 for 5 tickets
$35/(5 tickets) = $7/ticket
(b) 21 cats and 7 dogs
21 cats/(7 dogs) = 3 cats/dog
(c) 40 ft in 4 seconds
40 ft/(4 sec) = 10 ft/sec
(d) 48 cups for 3 gallons
48 cups/(3 gal) = 16 cups/gal
Which Graph represents the solution to the compound inequality 4x +8< -16 or 4x + 8 > 4
Answers
Answer:
option 3
Step-by-step explanation:
4x+8<-16
x<-6
4x+8_>-16
x_>-1
(it's more and equal .so the circle has to be shaded and move to the right of -1)
Answer:C
Step-by-step explanation:
A graph shows an x- and y-axis. The data line is in the shape of a "vee." The begins above the x-axis and to the left of the y-axis, extends below the x-axis to a point on the y-axis, and ascends above the x-axis to the right of the y-axis. Which statement describes the relationship between x and y? As x increases, y decreases. As x increases, y increases. As x increases, y increases and then decreases. As x increases, y decreases and then increases.
Answers
Answer:
As x increases, y decreases and then increases
Step-by-step explanation:
You need only understand your own description of the graph:
begins above the x-axis, extends below the x-axis, and ascends above the x-axis
This is a description of decreasing, then increasing:
As x increases, y decreases and then increases
Answer:
C. As x increases, y increases and then decreases.
Step-by-step explanation:
Just took the Unit Test and got it correct on Edge.
Find the unknown side length x write your answer in simplest radical form
A.24
B.4squareroot37
C.2squareroot154
D.5squareroot117
Answers
Answer:
(B)[tex]4\sqrt{37}[/tex]
Step-by-step explanation:
First, we determine the height of the triangle which we label as y.
Using Pythagoras Theorem.
[tex]25^2=7^2+y^2\\y^2=25^2-7^2\\y^2=576\\y=\sqrt{576}\\y=24[/tex]
In the smaller right triangle with hypotenuse, x
Base = 7-3 =4 Units
Height, y= 24 Units
Therefore, applying Pythagoras Theorem.:
[tex]x^2=24^2+4^2\\x^2=592\\x=\sqrt{592}\\ x=4\sqrt{37}[/tex]
Given the sample mean = 23.375, sample standard deviation = 5.29, and N = 40 for the low income group, Test the claim that the mean nickel diameter drawn by children in the low income group is greater than 21.21 mm. Test at the 0.01 significance level.
a) Identify the correct alternative hypothesis:
A. p > 21.21
B. p < 21.21
C. p = 21.21
D. μ < 21.21
E. μ > 21.21
F. μ = 21.21
Give all answers correct to 3 decimal places
b) The test statistic value is:_______
c) Using the Traditional method, the critical value is:_______
Answers
Answer:
Step-by-step explanation:
a. To identify the alternative hypothesis, we have to examine the claim
The claim is that the mean nickel diameter drawn by children in the low income group is greater than 21.21 mm
Thus, alternative hypothesis is μ > 21.21
b. The test statistics is
z score = x - u /(sd/√n)
Where x (sample mean) is 23.375, u is pop. mean is 21.21, sd is 5.29 and n (sample size) is 40
z = 23.375 - 21.21 /(5.29/√40)
z = 2.165 / (5.29/6.3246)
z = 2.165/0.8364
z = 2.588
c. The critical value is
Alpha for this case study is 0.01. Then the critical probability is 1 - (alpha/2) =
1 - (0.01/2) = 1 - 0.005 = 0.995
To express the critical value as a z score, find the z score corresponding to the critical probability using the z table. Which is 0.8389.
3.01)Which statement best describes the area of the triangle shown below?
9
It is one-half the area of a rectangle of length 4 units and width 2 units.
It is twice the area of a rectangle of length 4 units and width 2 units.
O It is one-half the area of a square of side length 4 units.
Ont is twice the area of a square of side length 4 units.
Answers
Answer:
C. It is one-half the area of a square of side length 4 units.
Step-by-step explanation:
Hey there!
Well if a square has side lengths of 4 units,
the area would be 16 because of l*w.
Now the formula for the area of a triangle is,
b*h/2
b = 4
h = 4
4*4=16
16 ÷ 2 = 8
So the area of a square is 16 units^2 whereas the area of a triangle with the same dimensions is 8 units^2,
meaning the area of a triangle is one-half the area of a square.
Hope this helps :)
15. A manufacturer of electronic calculators is interested in estimating the fraction of defective units produced. A random sample of 800 calculators contains 10 defectives. a. Formulate and test the hypothesis to determine if the fraction defective exceeds 0.01. Use 0.05 significance level. b. Calculate a 95% CI for this problem. Does the CI agreed with your result on (a) explain.
Answers
Answer:
a
The Null hypothesis is [tex]H_o : p = 0.01[/tex]
The defect did not exceed 0.01
b
The 95% confidence interval is [tex]0.004801 < p < 0.020199[/tex]
Yes the CI agrees with the result in a because the value 0.01 fall within the CI
Step-by-step explanation:
From the question we are told that
The sample size is n = 800
The number of defective calculators is k = 10
The population is [tex]p = 0.01[/tex]
The Null hypothesis is [tex]H_o : p = 0.01[/tex]
The Alternative hypothesis is [tex]H_a : P> 0.01[/tex]
Generally the proportion of defective calculators is mathematically represented as
[tex]\r p = \frac{k}{n}[/tex]
substituting values
[tex]\r p = \frac{10}{800}[/tex]
[tex]\r p = 0.0125[/tex]
Next is to obtain the critical value of [tex]\alpha[/tex] from the z-table.The value is
[tex]Z_{\alpha } = 1.645[/tex]
Now the test statistics is mathematically evaluated as
[tex]t = \frac{\r p - p }{ \sqrt{ \frac{p (1- p )}{n} } }[/tex]
substituting values
[tex]t = \frac{ 0.0125 - 0.01 }{ \sqrt{ \frac{0.01 (1- 0.01 )}{800} } }[/tex]
[tex]t = 0.71067[/tex]
Now comparing the values of t to the value of [tex]Z_{\alpha }[/tex] we see that [tex]t < Z_{\alpha }[/tex] hence we fail to reject the null hypothesis
Generally the margin of error is mathematically represented as
[tex]E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\r p (1-\r p )}{n} }[/tex]
where [tex]Z_{\frac{\alpha }{2} }[/tex] is the critical value of [tex]\frac{\alpha }{2}[/tex] which is obtained from the z-table.The value is
[tex]Z_{\frac{\alpha }{2} } = Z_{\frac{0.05 }{2} } = 1.96[/tex]
The reason we are obtaining critical value of [tex]\frac{\alpha }{2}[/tex] instead of [tex]\alpha[/tex] is because [tex]\alpha[/tex]
represents the area under the normal curve where the confidence level interval ( [tex]1- \alpha[/tex] ) did not cover which include both the left and right tail while
[tex]\frac{\alpha }{2}[/tex] is just the area of one tail which what we required to calculate the margin of error .
NOTE: We can also obtain the value using critical value calculator (math dot armstrong dot edu)
So
[tex]E = 1.96 * \sqrt{\frac{ 0.0125 (1-0.0125 )}{800} }[/tex]
[tex]E = 0.007699[/tex]
The 95% confidence interval is mathematically represented as
[tex]\r p - E < p < \r p - E[/tex]
substituting values
[tex]0.0125 - 0.007699 < p < 0.0125 + 0.007699[/tex]
[tex]0.004801 < p < 0.020199[/tex]
Now given the p = 0.01 is within this interval then the CI agrees with answer gotten in a
Answer question 18 or 19 in the image thank you and please help
Answers
Answer:
19)
[tex]\frac{1}{2}*\frac{1}{4}*\frac{1}{8}*\frac{1}{16} = 2^n[/tex]
Notice that in the left side, all the numbers are powers of 2.
2 = 2^1
4 = 2^2
8 = 2^3
16 = 2^4
remember that:
(a^x)*(a^y) = a^(x+y)
then the denominator in the left is:
(2*4*8*16) = 2*(2^2)*(2^3)*(2^4) = 2^(1 + 2 + 3+ 4) = 2^8
Then we have:
[tex]\frac{1}{2}*\frac{1}{4}*\frac{1}{8}*\frac{1}{16} = \frac{1}{2^8} = 2^n[/tex]
[tex]1 = 2^8*2^n = 2^{8 + n}[/tex]
then 8 + n = 0
then n = -8.
18)
here we have:
x = (x/9) + (x/6) + (x/2) + 4 + (x/12) + 2
now in the left side we can use the common factor x and write it as:
x = x*( 1/12 + 1/9 + 1/6 + 1/2) + 6
x = x*(0.861) + 6
x - x*(0.861) = 6
x*(1 - 0.861) = 6
x = 6/(1 - 0.861) = 43.2
A rectangular garden is 20 ft longer than it is wide. Its area is 3500 ft?. What are its dimensions?
Its width equals
Preview
and its length equals
Answers
Answer:
width of the garden is 50 ft and the length is 70 ft
Step-by-step explanation:
Solution:-
- We will denote the width and and the length of the rectangular garden as:
Width: x
Length: x + 20
- We are given the area ( A ) of the garden is 3500 ft^2. We are to determine for what dimensions is the area A = 3500 ft^2.
- Recall that the area ( A ) of a rectangle is the product of length and width as follows:
A = Length * width
A = x*( x + 20 )
3500 = x^2 + 20x
x^2 + 20x - 3500 = 0
- Use the quadratic formula to determine the value of ( x ):
[tex]x = \frac{-b +/- \sqrt{b^2 - 4ac} }{2a} \\\\x = \frac{-20 +/- \sqrt{20^2 - 4*-3500} }{2}\\\\x = \frac{-20 +/- 120 }{2} = -10 +/- 60\\\\x = -70 , 50[/tex]
- Ignore the negative value of ( - 70 ft ). Physical impractical to have a negative value. Hence, the width of the garden is 50 ft and the length is 70 ft
You take one ball randomly from a bag with 10 yellow, 5 orange and 5 green balls. What is the probability that you take a yellow ball.
1
1/4
10/15
1/2
Answers
Answer:
1/2
Step-by-step explanation:
The probability of taking a yellow ball can be found by dividing the number of yellow balls over the total number of balls.
P(yellow ball)= yellow balls / total balls
There are 10 yellow balls. There are a total of 20 balls. There are 20 because there are 10 yellow, 5 orange, and 5 green. When 10, 5, and 5 are added, the result is 20.
yellow balls = 10
total balls= 20
P(yellow ball)= yellow balls / total balls
P(yellow ball)= 10/20
The fraction 10/20 can be simplified. Both the numerator( top number) and denominator (bottom number) can be evenly divided by 10.
P(yellow ball)= (10/10) / (20/10)
P(yellow ball)= 1/(20/10)
P(yellow ball)= 1/2
The probability of taking a yellow ball is 1/2.
If the payment is not made on the credit card by the end of the grace period,
which of the following will occur?
Answers
Answer: C. Interest will be charged
Step-by-step explanation:
Answer:
Step-by-step explanation:
Interest will be charged is your answer!
A fair die is rolled two times. What is the probability that both rolls are 6?
Answers
Answer:
1/36
Step-by-step explanation:
the fair die has 6 equal parts which means its the total
the probability of rolling a 6 is 1/6
the probability of rolling another 6 is 1/6
so u multiply 1/6 times 1/6 which is 1/36
hope this helps
Hey there
To make it perfectly clear, consider the sample space for rolling a die twice. There are 36 equally likely possible outcomes, 6 of which define the event "rolling the same number two times in a row". Then, the probability of this event occurring is 636, which is equal to 16.Hope this hopeSolve the equation and give the solution 6x – 3y = 3 –2x + 6y = 14
Answers
Answer:
x=3.9 or 39/10 and y=3.13333 or 47/15
Step-by-step explanation:
Since both expressions (6x-3y) and (3-2x+6y) are equal to 14, separate the equations:
6x-3y=14 and 3-2x+6y=14
Simplify the equations
6x-3y=14 and -2x+6y=11
Now, line the equations up and pick a variable (either x or y) to eliminate
6x-3y=14
-2x+6y=11
In this case, let's eliminate y first. To do so make the y values in both equations the same but with opposite signs. Make both be 6y but one is +6y and the other -6y
Multiply (6x-3y=14) by 2 to get:
12x-6y=28
Line the equations up and add or subtract the terms accordingly
12x-6y=28
-2x+6y=11
This becomes:
10x+0y=39
Isolate for x
x= 39/10 or x= 3.9
Now substitute the x value into either of the original equations
6x-3y=14
6(3.9)- 3y=14
Isolate for y
23.4-14=3y
3y= 9.4
y= 3.1333 (repeating) or y= 47/15
Answer: x = 39/10, y = 94/30
Step-by-step explanation:
6x - 3y = 3 - 2x + 6y,
Now solving this becomes
6x + 2x -3y - 6y = 3
8x - 9y = 3 ------------------- 1
3 - 2x + 6y. = 14
-2x + 6y = 14 - 3
-2x. + 6y = 11
Now multiply both side by -1
2x. - 6y = -11 ----------------- 2
Solve equations 1 & 2 together
8x - 9y. = 3
2x - 6y = -11
Using elimination method
Multiply equation 1 through by 2 ,and equation 2 be multiplied by 8
16x - 18y = 6
-16x - 48y = -88 ------------------------- n, now subtract
30y = 94
Therefore. y = 94/30.
Now substitute for y in equation 2
2x - 6y = -11
2x - 6(94/30) = -11
2x - 94/5 = -11
Now multiply through by 5
10x - 94 = -55
10x = -55 + 94
10x = 39
x = 39/10
How many odd 2 digit positive odd integers geater than 50 are there?
Answers
Answer:
25
Step-by-step explanation:
Let's break this down step by step:
"2 digit positive odd integers greater than 50"
So we start at 50
Don't exceed 99 since 2-digit limit
Any 2-digit integer greater than 50 will be positive (So that's a redundant statement)
Well...we know that from 50-99, is 50 integers counting by ones.
We know that half will be even and half will be odd.
With this we can say 50/2 == 25
Hence, there are 25 2 digit positive odd integers greater than 50.
Cheers.
may someone assist me ?
Answers
Answer:
x = 6
Step-by-step explanation:
I will use some symbols, please refer to the image I attach to understand my answer.
Since BC = 2 using Thales theorem we get that
3/x = 2/4 then 3/x = 1/2 and 6 = x
Please help. What is the equation of the line that has a slope of 3 and goes through the point (-3,-5)?
Answers
Answer:
y = 3x + 4
Step-by-step explanation:
We can use the equation y = mx + b to find the equation:
Plug in the slope and the point into the equation, and we can find b:
-5 = 3(-3) + b
-5 = -9 + b
4 = b
Now, we can plug in the slope and y-intercept into the equation:
y = 3x + 4 will be our equation
3 = 1/2x + 1/2x + 1/2x.
Answers
Answer:
x =2
Step-by-step explanation:
3 = 1/2x + 1/2x + 1/2x
Combine like terms
3 = 3/2 x
Multiply each side by 2/3 to isolate x
3 * 2/3 = 2/3 * 3/2 x
2 =x
Which of the following answer choice is a possible solution to the inequality 4y>10?
A. 7
B. 1/4
C. 2
Please prove your answer.
Answers
Answer:
7 is the answer
Step-by-step explanation:
if we put 1/4 or 2 then the statement will wrong so 7 is the right answer
Answer:
A
Step-by-step explanation:
If 4A (7) is greater than 10, then 4x7=28. 28 is greater than 10.
-----------------------------------------------------------------------
Hope this helps you...
Solve the equation 1/3 (x + 1) +2x =2
Answers
●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●
Hi my lil bunny!
❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙
Let's solve your equation step-by-step.
[tex]\frac{1}{3} (x+1)+2x=2[/tex]
Step 1: Simplify both sides of the equation.
[tex]\frac{1}{3} (x+1)+2x=2[/tex]
[tex](\frac{1}{3}) (x) + (\frac{1}{3} ) (1) + 2x = 2[/tex] (Distribute)
[tex]\frac{1}{3} x + \frac{1}{3} + 2x = 2[/tex]
[tex]( \frac{1}{3} x + 2x ) + (\frac{1}{3}) = 2[/tex] (Combine Like Terms)
[tex]\frac {7}{3} x + \frac{1}{3} = 2\\\frac{7}{3} x + \frac{1}{3} = 2[/tex]
Step 2: Subtract 1/3 from both sides.
[tex]\frac{7}{3} x + \frac{1}{3} - \frac{1}{3} = 2 - \frac{1}{3} \\\\\frac{7}{3} x = \frac{5}{3}[/tex]
Step 3: Multiply both sides by 3/7.
[tex]( \frac{3}{7} ) * (\frac{7}{3}x) = ( \frac{3}{7}) * \frac{5}{3} \\\\x = \frac{5}{7}[/tex]
So the answer is : [tex]x = \frac{5}{7}[/tex]
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Hope this helped you.
Could you maybe give brainliest..?
❀*May*❀
Let f(x) = -2x - 7 and g(x) = -4x + 6. Find (f o g)(-5)
Answers
if the focus of an ellipse are (-4,4) and (6,4), then the coordinates of the enter of the ellipsis are
Answers
Answer:
The center is (1,4)
Step-by-step explanation:
The coordinates of the center of an ellipse are the coordinates that are in the middle of the two focus.
Then if we have a focus on [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], we can say that the coordinates for x and y can be calculated as:
[tex]x=\frac{x_1+x_2}{2}\\ y=\frac{y_1+y_2}{2}[/tex]
So, replacing [tex](x_1,y_1)[/tex] by (-4,4) and [tex](x_2,y_2)[/tex] by (6,4), we get that the center is:
[tex]x=\frac{-4+6}{2}=1\\ y=\frac{4+4}{2}=4[/tex]
You are looking to invest in several different real estate deals. You have received ceconomic reports that explain the probability of good economic conditions will be .6 and .4 for bad economic conditions. Below is the Payoff Table, and after calculating the expected value for each decision, you determine the best "payoff deal is:
Good Economic Bad Economic
Conditions Condition (.60) Conditions (.40)
Apartment Building 50,000 30,000
Office Building $100,000 $-40,000
Warehouse 30,000 $10,000
A. Apartment Building
B. Office Building
C. Warehouse
D. None of the above.
Answers
Answer:
Real Estate Deals
The best "payoff deal:"
B. Office Building
Step-by-step explanation:
A) Payoff Table
Good Economic Bad Economic
Conditions Conditions
Probability (.60) (.40)
Apartment Building $50,000 $30,000
Office Building $100,000 $-40,000
Warehouse $30,000 $10,000
B) Calculation of Expected Values:
Good Economic Bad Economic Expected Values
Conditions Conditions
Probability (.60) (.40)
Apartment Building $30,000 $12,000 $42,000
Office Building $60,000 $-16,000 $44,000
Warehouse $18,000 $4,000 $22,000
b) The expected value for these real estate deals can be derived as the sum of the payoffs under the two economic conditions after they have been weighed with their odds of occurrence. The office building, in this example, showed the best payoff deal as the expected payoff from it results to a payoff of $44,000, which is higher than the expected payoff from the Apartment and Warehouse. However, it is also the riskiest, especially when bad economic conditions occur. This also accords with the general economic risk-return pattern that higher risky investments attract higher returns.
a scale drawing of a rectangular playground has a length of 20 inches and a width of 10 inches as shown below. the scale is 1 inch = 4 feet. what is the area of the actual playground? *
Answers
Answer:
3200ft^2
Step-by-step explanation:
1 inch = 4ft
so 20 inches = 80ft
and 10 inches = 40ft
Area = 80ft*40ft
Area = 3200ft^2
Perform the indicated operation. kyz * 1/kyz answer choices is 0 1 and k^2 y^2 z^2
Answers
Answer:
1
Step-by-step explanation:
[tex]\frac{kyz}{1}*\frac{1}{kyz} =\frac{kyz}{kyz}=1[/tex]
Fill in the blanks.
(x+_)^2=x^2+14x+_
Answers
Step-by-step explanation:
(ax + b)² = a²x² + 2abx + b²
In this case, a = 1, so:
14 = 2b
b = 7
(x + 7)² = x² + 14x + 49
TRIANGLE ABC IS DILATED BY A SCALE FACTOR OF 0.5 WITH THE ORIGIN AS THE CENTER OF DILATION, RESULTING IN THE IMAGE TRIANGLE A'B'C. IF A=(2,2). IF A (2,2), B= (4,3) AND C=(6,3), WHAT IS THE LENGTH OF LINE B'C'?
Answers
Answer: The length of the line B'C" is 1 unit.
Step-by-step explanation:
Given: Triangle ABC is dilated by a scale factor of 0.5 with the origin as the center of dilation , resulting in the image Triangle A'B'C'.
If A (2,2), B= (4,3) and C=(6,3).
Distance between (a,b) and (c,d): [tex]D=\sqrt{(d-b)^2+(c-b)^2}[/tex]
Then, BC [tex]=\sqrt{(3-3)^2+(6-4)^2}[/tex]
[tex]\\\\=\sqrt{0+2^2}\\\\=\sqrt{4}\\\\=2\text{ units}[/tex]
Length of image = scale factor x length in original figure
B'C' = 0.5 × BC
= 0.5 × 2
= 1 unit
Hence, the length of the line B'C" is 1 unit.
find the exact value of sin 0
Answers
Answer:
12/13
Step-by-step explanation:
First we must calculate the hypotenus using the pythagoran theorem
5²+12² = (MO)² MO = [tex]\sqrt{5^{2}+12^{2} }[/tex] MO = 13Now let's calculate sin0
sin O = 12/13So the exact value is 12/13
Answer:
C.) 12/13
Step-by-step explanation:
In a right angle triangle MN = 12, ON = 5 and; angle N = 90°
Now,
For hypotenuse we will use Pythagorean Theorem
(MO)² = (MN)² + (ON)²
(MO)² = (12)² + (5)²
(MO)² = 144 + 25
(MO)² = 169
MO = √169
MO = 13
now,
Sin O = opp÷hyp = 12÷13
After collecting the data, Peter finds that the standardized test scores of the students in a school are normally distributed with mean 85 points and standard deviation 3 points. Use the Empirical Rule to find the probability that a randomly selected student's score is greater than 76 points. Provide the final answer as a percent rounded to two decimal places.
Answers
Answer:
Step-by-step explanation:
Given that:
the standardized test scores of the students in a school are normally distributed with:
mean = 85 points
standard deviation = 3 points
Using the empirical rule:
=85 - (3 × 3)
= 85 - 9
= 76
The given value of 76 points is 3 standard deviations below mean
Therefore;
the percent score between the given value of 76 points and the mean 85 points is:
99.7/2 = 49.85% ( since 99.7 data value lies within 3 standard deviation)
Also ; the percent of value above the mean score = 50%
Therefore, the probability that a student's score is greater than 76 points is
= (49.85 + 50 )%
= 99.85%
Answer:
mean=85
sd=3
85-3*3=76
its between 76 and 85=99.7/2=49.85%
50% mean above.
49.85+50=99.85%
Step-by-step explanation: