Answer:
8
Step-by-step explanation:
A circle has a diameter of 24 cm. Which expression
could represent the area of this circle in square cm?
2. Write (2+5i)(3-1) as a complex number in standard form a+bi.
real part + imaginary part
Answer:4+10i
Step-by-step explanation:
6+15i-2-5i
4+10i
Scores of an IQ test have a bell-shaped distribution with a mean of and a standard deviation of . Use the empirical rule to determine the following. (a) What percentage of people has an IQ score between and ? (b) What percentage of people has an IQ score less than or greater than ? (c) What percentage of people has an IQ score greater than ?
Complete question is;
Scores of an IQ test have a bell-shaped distribution with a mean of 100 and a standard deviation of 13. Use the empirical rule to determine the following.
(a) What percentage of people has an IQ score between 87 and 113?
(b) What percentage of people has an IQ score less than 74 or greater than 126?
(c) What percentage of people has an IQ score greater than 139?
Answer:
A) 68% of the people had an IQ score between 87 and 113
B) 5% of the people had IQ scores less than 74 and greater than 126.
C) 0.15% had an IQ score greater than 139
Step-by-step explanation:
We are given;
Mean; x¯ = 100
Standard deviation; σ = 13
According to the empirical rule in statistics;
>> 68% of the data lies within one standard deviation of the mean
>> 95% of the data lies within two standard deviations of the mean
>> 99.7% of the data lies within three standard deviations
A) We want to find the percentage of people with an IQ score between 87 and 113.
Within one standard deviation, we have;
x¯ ± σ
>> (100 - 13), (100 + 13)
>> (87, 113) which is the range we are looking for.
Thus, 68% of the people had an IQ score between 87 and 113
B) we want to find percentage of people has an IQ score less than 74 or greater than 126.
Let's first find those who had between 74 and 126.
Let's use two standard deviations within the mean.
x¯ ± 2σ
>> (100 - (2×13)), (100 + (2×13))
>> (74, 126) which is the range we are looking for.
So percentage that have IQ scores between 74 and 126 is 95%
Thus;
Percentage of those who had less than 74 and greater than 126 is;
P = 1 - 95%
P = 5%
C) we want to find the percentage of people that had an IQ score greater than 139.
Let's use the z-score formula;
z = (x¯ - μ)/σ
z = (139 - 100)/13
z = 39/13
z = 3
This means it is 3 standard deviations above the mean.
Thus;
Since it's one side outside the mean, then;
Percentage of people with an IQ score greater than 139 = (1 - 99.7%)/2 = 0.3%/2 = 0.15%
[tex] \binom{ \sin( \alpha) + \sin( 2alpha ) }{1 + \cos( \alpha ) + \cos(2 \alpha ) } = \tan( \alpha ) [/tex]
I see you use the TeX command "\binom" for binomial coefficient, but I think you meant to use "\frac" to write a fraction, namely,
[tex]\dfrac{\sin(\alpha)+\sin(2\alpha)}{1+\cos(\alpha)+\cos(2\alpha)}=\tan(\alpha)[/tex]
and I assume you're supposed to establish an identity.
Recall the double angle identities for cos and sin :
cos(2α) = cos²(α) - sin²(α) = 2 cos²(α) - 1
sin(2α) = 2 sin(α) cos(α)
Now expand the left side as
(sin(α) + sin(2α)) / (1 + cos(α) + cos(2α)) = (sin(α) + 2 sin(α) cos(α)) / (1 + cos(α) + 2 cos²(α) - 1)
Factor sin(α) from the numerator, and after canceling the 1s in the denominator and factor cos(α) :
… = [sin(α) (1 + 2 cos(α))] / [cos(α) (1 + 2 cos(α))]
Cancel the factors of 1 + 2 cos(α) :
… = sin(α) / cos(α)
which is equivalent to
… = tan(α)
by definition of tan.
The captain of a ship at sea sights a lighthouse which is 120 feet tall. The captain measures the the angle of elevation to the top of the lighthouse to be 16 ^\circ. How far is the ship from the base of the lighthouse? feet
Answer:
As viewed on the deck, the lighthouse is 50-6 = 44 m above. First we need to compute the two distances from the captain and the lighthouse. For point1:
d1 = 44 / tan(60) = 25.403 m
For point2:
d2 = 44 / tan(30) = 76.210 m
The distance traveled by the ship in five minutes is 50.807 m or 0.050807 km. Five minutes is equivalent to 1/12 hours.
The speed is then equal to 0.050807/(1/12) kph = 0.61 kph.
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
Step-by-step explanation:
Use the data on the dot plot to answer the question.
Answer:
5
Step-by-step explanation:
x < 7
Which means 6 and below
only 5 people slept for less than 7 hours
Answer:
5 people
Step-by-step explanation:
Cuz you have to look what’s to the left of 7 and count the dots in 5 and 6
Find the value of x.
Please I need help!!!
Answer: It is 217
360-(114+29)=217
114 + 29 = 143
Step-by-step explanation: Srry if its wrong
Find the value of x
Please help i don’t know the answer
Answer:
44 + 45 = 99° divided by 2 = 49.5 (you can round to 49)
(10 POINTS) if you can answer ASAP
Answer:
A. -0.93
Step-by-step explanation:
It is a negative due to the scatter plot line decreasing as the precipitation increases, which cancels out C & D. Then, it is decreasing rapidly, which portrays it as closer to -1 than 0, meaning the answer is A.
Answer:
C.
Step-by-step explanation:
GH is tangent to both circle A and circle E. Determine the length of HE.
01) 27 units
2) 3 units
03) 1.8 units
4) 4 units
Answer:
3 unit is the correct answer
Answer:
3 units
Step-by-step explanation:I took the test
What the distance between (1,-9) and (6,-6)
Answer:
8 units for 1, -9
6 units for 6, -6
Step-by-step explanation:
Someone please help me
Answer: the general equation for a circle is ( x - h )^2 + ( y - k )^2 = r^2, where ( h, k ) is the center and r is the radius
Answer:
its false
Step-by-step explanation: i am 100% sure
Which statement about the area of a right triangle is true?
F :The area formula for a right triangle is the base times the height because a rectangle can be
divided into two right triangles.
G: The area formula for a right triangle is the base times the height because a right triangle
can be divided into two rectangles.
H: The area formula for a right triangle is one-half of the base times the height because a
rectangle can be divided into two right triangles.
J: The area formula for a right triangle is one-half of the base times the height because a right
triangle can be divided into two rectangles.
Answer:
H
Step-by-step explanation:
This is because a rectangle can be divided into two triangles.
A retail ice cream salesman divides his working days into 'sunny', 'medium', and 'cold'. He estimates that the probability of it being sunny is 0.2, and cold 0.3. If his gross sales on these three types of day are $50, $35, and $10 respectively on average and his average daily costs are $18 on any day.
Required:
a. Complete the probability distribution.
b. Find his expected profit per day.
Answer:
30.5
Step-by-step explanation:
Let ;
Sunny = S ; Medium = M ; Cold = C
_____ S _____ M ___ C
__X : 50 ____ 35 ___ 10
P(X) : 0.2 ____ 0.5 __ 0.3
P(M) = 1 - (0.2 + 0.3)
P(M) = 1 - 0.5 = 0.5
Expected profit per day, E(X)
E(X) = sum of (X * p(x)
E(X) = (50 * 0.2) + (35 * 0.5) + (10 * 0.3)
E(X) = 10 + 17.5 + 3
E(X) = 30.5
a shark is located 45 feet directly below a swimmer on the surface of the water. the angle of depression from a boat nearby to the shark is 64 degrees. how far is the swimmer from the boat
Using the slope concept, it is found that the swimmer is 21.95 feet from the boat.
What is a slope?The slope is given by the vertical change divided by the horizontal change.It's also the tangent of the angle of depression.In this problem:
A shark is located 45 feet directly below a swimmer on the surface of the water, hence the vertical change is 45.The distance d is the horizontal change, which we want to find.The angle is of 64º.Hence:
[tex]\tan{64^{\circ}} = \frac{45}{d}[/tex]
[tex]d = \frac{45}{\tan{64^{\circ}}}[/tex]
[tex]d = 21.95[/tex]
The swimmer is 21.95 feet from the boat.
You can learn more about the slope concept at https://brainly.com/question/26342863
Roll 2 six-sided number cubez how many possibilties contain only even numbers
Answer:
1/2 of the possibilities are even number
Step-by-step explanation:
Add all of the sides together, you get 12, count on even numbers until you get to 12. 2,4,6,8,10,12. that's six numbers which is half of 12. so half of the possibilities are even.
When f ( x ) = 9 x 2 + x − 5 , evaluate f ( − 4
Answer:
is that supposed to be a squared x?
9(-4)^2 + (-4) - 5 = 135
9(-4) × 2 + (-4) - 5 = -81
id.k which one is right sorry
PLEASE HELP ME ANYONE ???????????!!!
Answer:
A x>9
Step-by-step explanation:
add 4 to both sides and ta da
Answer:
x>9
Step-by-step explanation:
you move the negative 4 to the other side to get it away from x so then you can find the answer.
Hope this helps:)
Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping. •
• 1/5of the caramel apples are covered with peanuts.
• 1/3are covered with chocolate chips
• 3/10 are covered with coconut.
• The rest are covered with sprinkles.
How many caramel apples are covered with sprinkles?
A 100
B 33
C 25
D 20
Step-by-step explanation: D. 20
Which ordered pair does NOT lie on the graph of the exponential function
f(x) = 3(1/4)^x
A. (12, 0)
B. (-2, 48)
C. (2, 3/16)
D. (0, 3)
I labeled them all on Desmos & they all seem to lie on it, which is why I need help.
The ordered pair does not lie on the graph of the exponential function
is (12, 0).
Option A is the answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
To check whether an ordered pair lies on the graph of the exponential function f(x) = [tex]3(1/4)^x,[/tex]
We need to substitute the values of x and y into the function and see if the equation holds true.
A. (12, 0)
Substituting x = 12 and y = 0 into the function, we get:
[tex]f(12) = 3(1/4)^{12} = 0.000002861[/tex]
This does not equal y = 0, so (12, 0) does not lie on the graph of the function.
B. (-2, 48)
Substituting x = -2 and y = 48 into the function, we get:
[tex]f(-2) = 3(1/4)^{-2} = 48[/tex]
This does not equal y = 48, so (-2, 48) does lie on the graph of the function.
C. (2, 3/16)
Substituting x = 2 and y = 3/16 into the function, we get:
[tex]f(2) = 3(1/4)^2 = 3/16[/tex]
This equals y = 3/16, so (2, 3/16) does lie on the graph of the function.
D. (0, 3)
Substituting x = 0 and y = 3 into the function, we get:
[tex]f(0) = 3(1/4)^0 = 3[/tex]
This equals y = 3, so (0, 3) does lie on the graph of the function.
Therefore,
The ordered pair does not lie on the graph of the exponential function
is (12, 0).
Learn more about functions here:
https://brainly.com/question/28533782
#SPJ2
hi, i need help with this lol, i'm bad at math
Answer:
-44
Step-by-step explanation:
Since a is -2 and y equals 7 we can plug them both into the expression to get -2 - 6(7) which after simple math results in the answer of -44.
y o u s h a l l g e t 50 p o i n t s
i f y o u a n s w e r t h i s
Answer: 1.) 10
Step-by-step explanation:
-4 + 4 = 0
0 + 6 = 6
6 + 4 = 10
Answer:
3. Z=10 4. B=60
Step-by-step explanation:
For number 3 we work backwards. So, 6 - (-4) would equal 10. To check this -4 + 10 = 6. For number 4, we also work backwards, so 12 x 5 = 60. To check this 60/5 = 12. So z = 10 B = 60.
Can someone help me with question 19 and 21 please?
Milan is putting money into a savings account. He starts with $750 in the savings account, and each week he adds $70
Let "s" represent the total amount of money in the savings account (in dollars), and let "W" represent the number of weeks Mila
has been adding money. Write an equation (y = mx + b), relating "s" to "W". Then, use this equation to find the total amount of
money in the savings account after 12 weeks." (10 points)
Answer:
equation: s = 70W + 750
answer for 12 weeks: 1590
Step-by-step explanation:
You replace W with 12 to get the total amount per 12 weeks.
Please and I’ll give Brain list to you
Answer:
e
Step-by-step explanation:
e
Answer:
6
Step-by-step explanation:
Make t the subject of the formula p = 4t+1/2-t
Answer:
t = (p - 1/2)/3
Step-by-step explanation:
p = 4t + 1/2 - t
combine like terms:
p = 3t + 1/2
subtract 1/2 from each side of the equation:
3t = p - 1/2
divide both sides by 3:
t = (p - 1/2)/3
Please help I need it
Answer:
A. Yeah
Step-by-step explanation:
Which of these is NOT a Pythagorean triple?
Carrots cost 0.84 euros per kilogram.
Onions cost 0.92 euros per kilogram.
Anna buys 500 grams of carrots and 750 grams of onions.
She pays with a 5 euro note.
(c) Work out how much change Anna should receive.
0.84 * (500/1000) = 0.84 * 0.5 = 0.42
0.92 * (750/1000) = 0.92 * 0.75 = 0.69
5 - (0.42 + 0.69) = 5 - 1.11 = 3.89 Euro
Answer is 3.89
what is the slope line
Answer:
In technical terms, the slope of the line is the change in y over the change in x. But I just like to think of it as rise over run. To find the slope of the line, pick two points on the line.
Answer:
Uphill slopes are positive slopes.
The slope will be a positive number like 5 or 2/3.
Downhill slopes are negative slopes.
The slope will be a negative number like -7 or -1/3.
Step-by-step explanation: