4. Up until the last game, Sellina has made 75% of her free-throws. If she continues
to make her free-throws at this rate, what is the probability that she will make the
next two free-throws in the next game?
Answer:
0.5625 = 56.25% probability that she will make the next two free-throws in the next game.
Step-by-step explanation:
For each free throw, there are only two possible outcomes. Either Sellina makes it, or she misses. The probability of making a free throw is independent of any other free throw. This means that the binomial probability distribution is used to solve this question.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
75% of her free-throws.
This means that [tex]p = 0.75[/tex]
What is the probability that she will make the next two free-throws in the next game?
This is P(X = 2) when n = 2. So
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 2) = C_{2,2}.(0.75)^{2}.(0.25)^{0} = 0.5625[/tex]
0.5625 = 56.25% probability that she will make the next two free-throws in the next game.
Which number, best describes
withdrawing $100 from a
checking account?
A:
100
B.
- 100
C. +100
D.
| 100 |
Answer:
B
Step-by-step explanation:
It would be -100 because you would be withdrawing, not adding the amount, or staying with the same amount.
Answer:
B) -100
Step-by-step explanation:
Withdrawing means taking out, and subtracting is taking out a number, so the answer is B.
AB and BC are perpendicular line segments but I need help !! Please help me out
Answer:
Step-by-step explanation:
A = (4 , 6)
B = (7 , 4)
C= (5 , 1)
Can you please help solve and find value of x!
Answer:
32º
Step-by-step explanation:
Solve for sin(x). Then use inverse sine to get your angle measurement. From there, convert radians to degrees by multiplying by 180/π.
sin (x) = opp/hyp = 8/15
sin-1(8/15) = x = 0.56253 radians
0.56253 radians * 180/π = 32.23º
Round this to 32º
A spinner has 8 equal-sized sections. Six of the sections are green. What is the probability that the spinner will land on green?
_________ out of 8 or ________%
Answer:
6/8
Step-by-step explanation:
or to simplify it, it would be 3/4
The probability that the spinner will land on green is 6 out of 8 or 75%.
What is Probability?Probability is simply the possibility of getting an event. Or in other words, we are predicting the chance of getting an event.
The value of probability will be always in the range from 0 to 1.
Given that,
Number of equal sections on the spinner = 8
Number of sections which are green = 6
Probability can be calculated as the ratio of number of desired outcomes to the total number of outcomes.
Here,
Desired outcome is the spinner landing on green.
Probability = 6/8 = 0.75 = 75%
Hence the probability is 6 out of 8 or 75%.
Learn more about Probability here :
https://brainly.com/question/29027275
#SPJ3
Aiden uses 1/6 cup of blue paint for every 1/2 cup of red paint to make purple paint what is the number of cups of blue paint aiden uses for 1 cup of red paint
Answer:
your answer is 2/6 or 1/3 a cup.
Step-by-step explanation:
If using the method of completing the square to solve the quadratic equation x^2+5x+10=0x 2 +5x+10=0, which number would have to be added to "complete the square"?
Answer:
(5/2)² must be added to the equation to complete the square.
Step-by-step explanation:
The given equation is
x^2+5x+10=0
writing it in in square form
(x)² + 2(x) (5/2) + (5/2)²-(5/2)² + 10= 0
We multiply (5/2) to the mid term because we have to make 2x equal to 5x.
As the square formula tells that square of first element plus 2 into first element multiplied by second element plus square of second element.
Making 2x equal to 5x gives (5/2) as the second element.
Therefore add square of the second element but also subtract square of second element to make it equal to the given original equation.
Now we can solve it.
(x)² + 2(x) (5/2) + (5/2)²-(5/2)² + 10= 0
(x + 5/2)²-(5/2)² + 10= 0
(x + 5/2)²- 25/4+ 10= 0
(x + 5/2)²- 25*5 +10*5/4*5= 0
(x + 5/2)²- 125+50/20= 0
(x + 5/2)²- 175/20= 0
(x + 5/2)²= 175/20
After visiting the Titanic, Captain Ngoc and Commander Chris are taking the SSN-21 Seawolf submarine back to the surface of the water. They start 2000 meters below the surface of the water and ascend at 55 meters per hour. A) Write an equation in slope-intercept form to model this situation where D is the distance under water and H is the time in hours. B) How many meters below the surface is the submarine after 6 hours?
Answer:
D(h) = 55h - 2000
1670 m
Step-by-step explanation:
Given :
Starting elevation, D = - 2000 m (2000 m below sea level)
Rate, h = 55 m per hour.
The slope - intercept relation :
y = mx + c
m = slope = rate of change
c = intercept
In the scenario given :
-2000 = intercept
55 = rate of change
D(h) = 55h - 2000
After 6 hours :
D(6) = 55(6) - 2000
D(6) = - 1670 m
2×+7=17 find the value of x
Answer:
x = 5
Step-by-step explanation:
Given
2x + 7 = 17 ( subtract 7 from both sides )
2x = 10 ( divide both sides by 2 )
x = 5
I need help with this
Answer: 25%.
Step-by-step explanation:
There are 12 marbles in total, with 3 being red. 3 in 12 = 1/4 = 25%.
An electronics company sells computer monitors
and releases a new model every year. With each
new model, the company increases the screen
size by a constant amount. In 2005, the screen
size was 15.5 inches. In 2011, the screen size was
18.5 inches. Which of the following best
describes how the screen size changed between
2005 and 2011?
A) The company increases the screen size by
0.5 inch every year.
B) The company increases the screen size by 1
inches every year.
C) The company increases the screen size by 2
inches every year.
D) The company increases the screen size by 3
inches every year.
The statement that best describes how the screen size changed between 2005 and 2011 is: A) The company increases the screen size by 0.5 inch every year.
Screen size changed between 2005 and 2011Given:
2005= 15.5 inches
2011=18.5 inches
Hence:
2005-2011= 6 years
18.5 inches-15.5 inches=3 inches
Size of screen:
Size of screen=3/6
Size of screen=0.5 increase every year
Therefore the correct option is A.
Learn more about screen size change here:https://brainly.com/question/13261582
#SPJ6
Help is all I need..
Answer:
[tex] {(x - 1)}^{2} = 16 \\ x - 1 = |4| \\ x = |4| + 1[/tex]
x = +4 +1
x = +5
and
x = -4 + 1
x = -3
Mr.Bell gave out a science test last week to six honors students. The scores were 88, 94, 80, 79, 74, and 83. What is the standard deviation of the scores? Round to the nearest tenth
Answer:
88+94+80+79+74+83=
answer divided by 100 then get the answer
In the diagram below, OP is circumscribed about quadrilateral ABCD. What is
the value of x?
Α. 88
Β. 82
C. 98
D. 90
Answer:
82°
Step-by-step explanation:
That is the correct answer to put it simply
The measure of x from the quadrilateral inscribed inside the circle is given by x = 82°
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the circle be represented as P
Now , the quadrilateral inscribed inside the circle be ABCD
where the measure of m∠A = 98°
The measure of m∠B = 90°
Now , the opposite angles of a quadrilateral inscribed inside a circle are supplementary
So , measure of ∠A + measure of ∠C = 180°
On simplifying , we get
98° + x° = 180°
Subtracting 98° on both sides , we get
x = 180° - 98°
x = 82°
Therefore , the measure of x is 82°
Hence , the value of x of the quadrilateral inside circle is 82°
To learn more about circle click :
https://brainly.com/question/28391204
#SPJ7
An item is regularly priced at $31 . It is on sale for 65% off the regular price.
Answer:
$10.85
Step-by-step explanation:
31 * .65 = 20.15
31 - 20.15 = 10.85
Line joining the non adjacent vertices are called
Answer:
Diagonal
Step-by-step explanation:
Answer:
edge
Step-by-step explanation:
A connected graph is made up of vertices and edges.
The double box-and-whisker plot shows the numbers of correct answers on a test for each student in Room 212 and Room 214.
(a) Compare the populations using measures of center and variation.
(b) Express the difference the measures of center as a multiple of each measure of variation.
Answer:
Kindly check explanation
Step-by-step explanation:
Using the Median (measure of center) and range
Room 212 :
Median = 20
Range = maximum - minimum = (22 - 15) = 7
Interquartile range = Q3 - Q1
Q3 = 21
Q1 = 19
IQR = 21 - 19 = 2
ROOM 214 :
Median = 22
Range = maximum - minimum = (25 - 16) = 9
Interquartile range = Q3 - Q1
Q3 = 23
Q1 = 20
IQR = 23 - 20 = 3
find the value of x for the question.
Answer:
5
Step-by-step explanation:
Both angles together will equal as they are opposite of each other
therefore
15x=16x-5
15x+5=16x
5=x
Answer:
x = 5
Step-by-step explanation:
The two angles are congruent because of the Vertical Angles Theorem. Since we now know that they're congruent, we can set up an equation to like this:
15x = 16x - 5
Now that we have an equation, we can solve for x.
First, we subtract 15x from both sides. Now we're left with an equation that should look like this:
0 = x - 5
Now we add 5 to both sides to get our solution. It should look like this.
5 = x
And there's your answer! Hope this helps.
1. If Gallup, Harris and other pollsters asked people to indicate their political party affiliation as Democrat, Republican or Independent, the data gathered would be an example of which scale of measurement
Answer:
im not sure but i think its a bargraph if the answer is coreect please tell
.. Solve using substitution.
2x - 5y = 12
x = -9
Answer:
2x–5y = 12
2(–9)–5y = 12
–18–5y=12
–5y=12+18
–5y=30
y= –30/5
y= – 6
(x,y) —> (–9,–6)
[tex]2(x+30)=60[/tex]
The lines of symmetry in a regular polygon are equal to the number of sides minus 2. True or False
Answer:
False
Step-by-step explanation:
A regular polygon may be defined as the polygon that have sides of equal length known as equilateral and angles made up of equal angles, known as equiangular.
The [tex]$\text{number of lines}$[/tex] of symmetry in a regular polygon is always equal to the number of sides of the polygon. For example, a regular pentagon have 5 sides, so the lines of symmetry of the regular pentagon is also 5, a square having 4 sides also has 4 lines of symmetry.
Classify the triangle by its side lengths.
Answer:
isosceles triangle
Step-by-step explanation:
isosceles triangles have two equal sides
The coordinates G(7, 3), H(9, 0), I(5, -1) form what type of polygon?
an obtuse triangle
a right triangle
an acute triangle
an equilateral triangle
Answer:
acute triangle
Step-by-step explanation:
Which equation is equivalent to 23x= 10?
log, 10 = 30
log, 3x = 10
log 2 = 30
log 3.0
2
After applying some properties of logarithm the correct expression for the given logarithmic equation we get is 3x = log₂ 10.
Use the concept of logarithm defined as:
The logarithmic function is the opposite of the exponentiation of that function.
It can be mathematically defined as:
For [tex]x > 0 , a > 0[/tex], and [tex]a\neq1[/tex],
[tex]y= log_a x[/tex] if and only if x = ay
Then the function is given by
[tex]f(x) = log_a x[/tex]
Where a is the base of function.
The given expression is:
[tex]2^{3x} = 10[/tex]
Take log both sides,
[tex]\text{log } 2^{3x} = \text{log } 10[/tex]
Since we know that,
[tex]\text{ log} a^n = n\text{ log} a[/tex]
Therefore,
3x log 2 = log 10
Dividing both sides by 2
3x = log10/log2
Since we know that,
[tex]\text{log} _a b = \dfrac{\text{log}_c b}{\text{log}_c a}[/tex]
Therefore,
3x = log₂ 10.
Hence,
The correct expression is 3x = log₂ 10.
To learn more about logarithmic expression visit:
https://brainly.com/question/29194783
#SPJ6
WILL GIVE BRAINLIEST IF ANSWERED CORRECTLY
Answer:
A) 13.4 feet
Step-by-step explanation:
You need to use the Pythagorean theorem:
L = [tex]\sqrt{6^2+12^2}[/tex] = 13,4 feet
SOLVE 23 ASAP PLEASE!!
A = ( - 3 , 2 ) ..**&**.. B = ( 4 , 5 )
_________________________________
Slope = [ y(B) - y(A) ] ÷ [ x(B) - x(A) ]
Slope = [ 5 - 2 ] ÷ [ 4 - ( - 3 ) ]
Slope = [ 3 ] ÷ [ 4 + 3 ]
Slope = 3 ÷ 7
Slope = 3/7
_________________________________
y - y(A) = Slope × ( x - x(A) )
y - 2 = 3/7 × ( x - ( - 3 ) )
y - 2 = 3/7 ( x + 3 )
y - 2 = 3/7 x + 9/7
y = 3/7 x + 9/7 + 2
y = 3/7 x + 9/7 + 14/7
y = 3/7 x + 23/7
u don’t have to explain
Answer:
6
Step-by-step explanation:
RQ=x
x/9=4/6
x=(9*4)/6
x=6
Does anyone have answers to the Parametric Functions Test? Pre-Calc
option 3
option2
hope helps you
have a nice day
1. The curve is a parabola with a vertex at (2,1) and is traced from left to right for increasing values of t.
Step-by-step explanation:
1. explanation is in the image
find the value of x
answers
118
62
82
28
Answer:
118°
Step-by-step explanation:
Don't think the answer is 62° this time both 118° and angle x are congruent.
What do I mean by that? Both angles measure the exact same thing.
The only difference is their line length (n) and (m).