Question
A random sample of SAT scores has a sample mean ofă = 1060 and sample standard deviation of s = 195. Use the
Empirical Rule to estimate the approximate percentage of SAT scores that are less than 865.
Answer:
The approximate percentage of SAT scores that are less than 865 is 16%.
Step-by-step explanation:
The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem, we have that:
Mean of 1060, standard deviation of 195.
Empirical Rule to estimate the approximate percentage of SAT scores that are less than 865.
865 = 1060 - 195
So 865 is one standard deviation below the mean.
Approximately 68% of the measures are within 1 standard deviation of the mean, so approximately 100 - 68 = 32% are more than 1 standard deviation from the mean. The normal distribution is symmetric, which means that approximately 32/2 = 16% are more than 1 standard deviation below the mean and approximately 16% are more than 1 standard deviation above the mean. So
The approximate percentage of SAT scores that are less than 865 is 16%.
Which answer is an equation in point-slope form for the given point and slope?
Point (1, 9), Slope: 5
(A) y - 9 = 5(x + 1)
(B) y+9 -5(x - 1)
(C) y-9=5(x - 1)
(D) y-1-5(x +9)
Answer:
Step-by-step explanation:
Point-slope equation for line of slope m that passes through (x₀,y₀):
y-y₀ = m(x-x₀)
In your case, m=5 and (x₀,y₀)=(1,9):
y-9 = 5(x-1)
a. [(-28)-(+42)] - (-13)
Answer:
= -57 is answer
Step-by-step explanation:
−28−42−(−13)
have a good day!
PleSee help!!! 10 points for it
Using only addition what is 20 - 9 + 8 -7
Answer:
12
Step-by-step explanation:
Answer: 12
Step-by-step explanation:
I don't know if you mean using the Complements Method but I really wouldn't recommend using this method for all problems unless your teacher asked you to specifically.
Here is how to:
1. take the "complement" of the number we are subtracting (The "complement" is the number to add to make 10 (or 100, 1000, etc, depending on how many digits we have)
2. add it to to the number we are subtracting from
3. discard the extra "1" on the left
If you mean to do it mentally, think about it like this:
20 + (-9) = 11 You are essentially adding negative nine to twenty, not subtracting nine. If you want to see this better, try using a number line. When you add a negative number, you move to the left on the number line.
Same thing with 8 + (-7) = 1
You are adding negative seven to eight.
All that is left to do is adding both of the results together, and you get twelve.
11 + 1 = 12
What is the value of x in the equation shown below.
0.25x + 7 = 4(x - 2)
Answer:
x=4
Step-by-step explanation:
0.25x+7=4(x−2)
Use the distributive property to multiply 4 by x−2.
0.25x+7=4x−8
Subtract 4x from both sides.
0.25x+7−4x=−8
Combine 0.25x and −4x to get −3.75x.
−3.75x+7=−8
Subtract 7 from both sides.
−3.75x=−8−7
Subtract 7 from −8 to get −15.
−3.75x=−15
Divide both sides by −3.75.
x=-15/-3.75
Expand -15/-3.75 by multiplying both numerator and the denominator by 100.
x=-1500/-375
Divide −1500 by −375 to get 4.
x=4
2c=8 and after you have to do subtraction to check
Answer:
Whats the question?
Step-by-step explanation:
what is the slope of the line passing though the points (-3, 4) and (4, -1)
Answer:
[tex]\displaystyle m=\frac{-5}{7}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (-3, 4)
Point (4, -1)
Step 2: Identify
x₁ = -3, y₁ = 4
x₂ = 4, y₂ = -1
Step 3: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m=\frac{-1-4}{4--3}[/tex][Slope] Simplify denominator [Fraction]: [tex]\displaystyle m=\frac{-1-4}{4+3}[/tex][Slope] Subtract/Add [Fraction]: [tex]\displaystyle m=\frac{-5}{7}[/tex]help pleaseeeeeee!!!!!!
Answer:
5x + 100
Step-by-step explanation:
(2x + 6) x 2 = 4x + 12
14x + 8 - 4x + 12 =
10x + 20 / 2 =
5x + 100
Hope that helps!
What is the slope of the line that passes through the points (2, -3) and (5, 1)
Answer:
Answer is (4) 4/3
Step-by-step explanation:
[tex]\frac{1- -3}{5-2}[/tex]
[tex]\frac{4}{3}[/tex]
Answer:
slope is 4/3
Step-by-step explanation:
1-(-3)/5-2
4/3
Jerome won the lottery! He donated 1/2 of the money to charity and gave his parents 1/6 of the winnings. The remaining 1/3 was divided equally among his 5 friends. The expression given represents the part of the lottery money for each friend received. "1/3 (divided by) 5" Which expression is equivalent to the amount of money each friend received? A: 1/5 (divided by) 1/3 B: 1/5 x 1/3 C: 1/3 (divided by) 1/5 D: 5/1 x 1/3
Answer:
B: 1/5 x 1/3
Step-by-step explanation:
Maplewood Supply received a $5,270 invoice dated 4/15/10. The $5,270 included $270 freight. Terms were 3/10, 2/30, n/60.
a. If Maplewood pays the invoice on April 27, what will it pay?
b. If Maplewood pays the invoice on May 21, what will it pay?
Answer:
The invoice gets paid after 12 days, so mapplewood will get a 3% discount (3/30, 3% off if paid within 30 days). I assume that Freight doesn't get a discount, so I subtract it from the invoice value:
$5250-$250 (freight)=$5000
Discounted invoice becomes:
$5000-3%*5000(discount)=$4850
Add the freight back to the new invoice:
$4850+$250=$5,100 if paid on April 27
B) the invoice gets paid after 36 days, so the invoice gets paid in full ( n/60; in other words, invoice paid in full if paid within 60 days, therefore $5,250)
Step-by-step explanation:
Write the slope-intercept equation of the line that passes through the given point and is parallel to the given line.
(−3, 8), x = −3y + 9
Answer:
y= -3yx + 9x - 37
Step-by-step explanation:
Find the Equation Using Slope-Intercept Form
Answer:
y= - (1/3) x + 9
Step-by-step explanation:
y = m x +b === m is slope, b is y-intercept
Solve given equation for y to find parallel slope -- y = - (1/3) x + 3
so parallel slope is - (1/3)
substitute point & slope into equation to find b
8 = - (1/3) (3) + b
b = 9
1/3 1/4 3/8 7/24 5/12 which is the biggest
Answer: 5/12
Step-by-step explanation:
Answer:
Step-by-step explanation:
5/12 is the biggest
Sarah bought 3 fish. Every month the number of fish she has doubles. After m months, she will have F fish, where F = 3× 2m. If Sarah keeps all of the fish and they allI live, how many fish will Sarah have after 3 months?
A)4•sin(65 degrees)
B) 1.9•cos(65 degrees)
C) 4/sin(65 degrees)
D) 1.9/cos(65 degrees)
On a road trip, a family drives 350 miles per day. How many days, d, must they travel to reach a distance of at least 1,400 miles?
350d ___ 1,400
(> or < or less than/more than equal to)
Answer:
They can have brainliest now!!!!
Step-by-step explanation:
Which of the following statements is false?
a- log9(0)=0 because 9^0=0
b- log3(9)=2 because 3^2=9
c-log5(5)=1 because 5^1=5
d- log4(0) does not exist because 4^=0 for any x
Answer:
A
Step-by-step explanation:
Same reason as d
That's the answer.
7 cm
10.5 cm
13 cm
Your Turn!
3 m
15 m
11 m
5m
Answer: number 1 . 6688.5 then rounded is 6689.
Number 2. 2475
Step-by-step explanation:
find the equation for the line that passes through the point (4,-3), and that is perpendicular to the line with the equation y= -3/4x-3
Answer:
hi
Step-by-step explanation:
Answer
Slope between two given points (1,3) and (2,7) is
m=
2−1
7−3
=4
Then perpendicular slope is m
1
=
4
−1
The line equation with this slope is given by
y=
4
−1
x+c.......(1)
Now, the above line passes through the point (−4,−3)
⇒−3=
4
−1
×(−4)+c
⇒c=−4
Therefore required line is 4y+x+16=0 (Substitute
′
c
′
in (1) and simplify)
A small theater head six rows of 26 chairs each an extra seven chairs have just been brought in how many chairs are in the theater now
at what rate of compound interest per annum will a sum of rupees 2500 become rupees 2500 in 2 years
Answer: 2500 for 2 years at 4 per cent per annum , compound intrest being reckoned semi-annually.
What is (-2) ÷ 9
A. - 2/9
B. 18
C. -18
D. 2/9
QUICK PLS PLS IM RUNNING OUT OF TIME
Answer:
A. -2/9
Step-by-step explanation:
the actual answer is -0.22222222222, but it is not listed so the next best answer is A
Answer:
The answer is -0.22222222222
Step-by-step explanation:
Im sorry but there is no other answer :(
help pls
Find the volume of the composite solid.
Answer:
80cm3
Step-by-step explanation:
volume of the composite solid=volume of the
pyramid+
volume of the
cuboid
volume of the pyramid=1/3* base area*height
=1/3*5*4*6
=40cm3
volume of the cuboid=base area *height
=5*4*2
=40cm3
volume of the composite solid=40cm3+40cm3
=80cm3
Ivan used 3 rolls of blue fabric to make costumes for the annual school play. He used a total length of 12.6 yards of fabric. If each roll had the same length of fabric, how much fabric was in each roll? Write your answer in inches.
Use the table of conversion facts as necessary, and do not round your answer.
Answer:
Step-by-step explanation:
151.2
120g:5kg in simplest form
2. What is an interest that is computed on the
principal and then added to it?
A. Simple Interest
B. Compound Interest
C. Interest
D. Principal
Answer:
Step-by-step explanation:
I need help on this question please
Answer:
dont mind me im just getting my points back
Step-by-step explanation:
Can you help me with this linear equation?
Find x:
-8x+7=4
Answer:
[tex] \tt \: - 8x + 7 = 4 \\ \tt \: - 8x = 4 - 7 \\ \tt \: - 8x = - 3 \\ \tt \: x = \frac{3}{8} [/tex]
An inequality is shown. Select all the values of n that make the inequality true.
2/3n≥3/2
plss helppp
Answer:
n≥9/4
Step-by-step explanation:
Times both sides by 3/2
(3/2)(2/3)n≥(3/2)(3/2)
Note that because 3/2 is positive ( > 0) we don't flip the inequality's direction.
n≥9/4
