Complete question :
Ankit makes 74% of the free throws he takes in his basketball league. If he is fouled on a three-point shot and gets three free throws, what is the approximate probability he will make all three shots?
Answer:
0.405224
Step-by-step explanation:
Given that:
p(success) = p = 74% = 0.74
If given 3 free throws ; probability of making all 3
Using binomial fórmula :
p = 0.74 ;
1 - p = 0.26
P( x = x) = nCx * p^x * (1 - p)^(n-x)
P(x = 3) = 3C3 * 0.74^3 * 0.26^0
P(x = 3) = 1 * 0.405224 * 1
P(x = 3) = 0.405224
Are 9.91 and 9.0 equivalent decimals?
Answer:
no
Step-by-step explanation:
there is a difference between these two integers as 9.91 is 0.01 more then 9.0,
they are therefor not equivalent
Can anyone help me out? I need the answer and can you explain it! I’ll make brainlist thanks!
Answer:
3) Equation of line is: 5x-8y+34=0
4) Equation of line is: 5x+y+5=0
Step-by-step explanation:
3) Equation of line parallel to [tex]5x-8y+12=0[/tex] and through point (-2,3)
When two lines are parallel they have same slope.
Converting the given equation [tex]5x-8y+12=0[/tex] to Slope intercept form i.e [tex]y=mx+b[/tex]
[tex]5x-8y+12=0\\-8y=-5x-12\\y=-\frac{5x}{-8}-\frac{12}{-8}\\y= \frac{5x}{8}+\frac{3}{2}[/tex]
Now comparing with [tex]y=mx+b[/tex] we get value of m i.e 5/8 which is slope of line.
Now, finding y-intercept using point (-2,3) and slope 5/8
[tex]y=mx+b\\3=\frac{5}{8}(-2)+b\\3=-\frac{5}{4}+b\\b=3+\frac{5}{4}\\b=\frac{3*4+5}{4}\\b=\frac{12+5}{4}\\b=\frac{17}{4}[/tex]
So, y-intercept is b= 17/4
The required equation is:
[tex]y=mx+b\\y=\frac{5x}{8}+\frac{17}{4}[/tex]
Writing in Standard form
[tex]y=\frac{5x}{8}+\frac{17}{4}\\y=\frac{5x+17*2}{8} \\y=\frac{5x+34}{8} \\8y=5x+34\\5x-8y+34=0[/tex]
So, Equation of line is: 5x-8y+34=0
4) Equation of line perpendicular to [tex]x-5y+2=0[/tex] and through point (-2,5)
When two lines are perpendicular they have opposite slope i.e m=-1/m.
Converting the given equation [tex]x-5y+2=0[/tex] to Slope intercept form i.e [tex]y=mx+b[/tex]
[tex]x-5y+2=0\\-5y=-x-2\\y=-\frac{x}{-5}-\frac{2}{-5}\\y= \frac{x}{5}+\frac{2}{5}[/tex]
Now comparing with [tex]y=mx+b[/tex] we get value of m i.e 1/5 which is slope of given line.
Slope of required line will be: m=-1/m = -5
Now, finding y-intercept using point (-2,5) and slope -5
[tex]y=mx+b\\5=-5(-2)+b\\5=10+b\\b=5-10\\b=-5[/tex]
So, y-intercept is b= -5
The required equation is:
[tex]y=mx+b\\y=-5x-5[/tex]
Writing in Standard form
[tex]y=-5x-5\\5x+y+5=0[/tex]
So, Equation of line is: 5x+y+5=0
Draw a number line model to determine -16 + -0.7
Answer:
the answer is -16.7
Step-by-step explanation:
i did the math 16 + .7 =-6.7 answer -16.7
I need help asparagus is it a b c d please help me
Answer:
A
Step-by-step explanation:
30% of 52 equals what. I need help please and thank you
Answer:
15.6
Step-by-step explanation:
Give brainliest if correct pls
Answer:
15.6
Step-by-step explanation:
Which expression would be easier to simplify if you used the associative property to change the grouping?
A. 85 + (120 + 80)
B. [-40 + (60)] + 52
C. (2 + 3/7) + 4/7
D. 4 + (1.2 + (-0.2))
Answer:
C
Step-by-step explanation:
In A and B, the numbers involved in expressions are integers.
Hence, they can be easily added or subtracted.
In C, the numbers involved in expression are fractions which are not grouped together.
They can be added but by using associative property, it becomes much more easier.
That is, grouping fractions.
Answer:C
Step-by-step explanation:
find the factor 12n-18
Answer:
Hope this helps!!!
Step-by-step explanation:
6(2−3)
Answer:
6(2n - 3)
Step-by-step explanation:
PLEASE ANSWER FAST ITS UNIT TEST
The graph of the equation y = ax2, where a is >0, is shown below
If a is multiplied by -3, the graph of the new equation is
A.
wider and opens downward
B.
wider and opens upward
C.
narrower and opens downward
D.
narrower and opens upward
Answer:
a or c
Step-by-step explanation:
Change 5 - 2 into an addition problem using a change in sign and the additive inverse.
(Step 1: change the minus sign to a plus sign. Step 2: change the second number in the
problem to its opposite (additive inverse].)
9514 1404 393
Answer:
5 + (-2)
Step-by-step explanation:
starting with: 5 - 2
step 1: 5 + ( )
step 2: 5 + (-2)
Solve for u, where u is a real number. Square root of u+6=9 If there is more than one solution, separate them with commas. If there is no solution, click on "No solution".
Answer:
The answer is 3+6=9. u=3 .
In a graph the constant of proportionality is the y=____when x= ____
Answer:
The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.
-2x + 4>8 which number line shows the solution to the inequality
Answer:
The answer is D since it equals
x < -2
Answer:
Dw I gotchu. It's D because it' the most reasonable for this problem.
If X is a normally distributed random variable with mean .30 and standard deviation .06 : (draw appropriate diagrams) a) Find P(X > .25) b) P(X < .10) c) How would you describe the largest 5% of all values of X?
Answer:
0.34 x 0.38
=0.1292
Step-by-step explanation:
Hopefully this helps, if not HMU and I will try my best to get you a better answer! :)
Good luck! <3
write four equivalent fraction of -3/7
Answer:
-6/14, -12/28,-24/56, and -48/112.
Hope this helps plz hit the crown and friend me :D
Answer:
6/14, 9/21, 12/28, 15/35
There are 5,000 sheets of paper in 25 boxes. if each
box contains the same number of sheets of paper, how many sheets of paper are in each box?
Answer:
200 sheets
Step-by-step explanation:
Divide 5,000 by 25 to get 200 sheets of paper per box.
Answer:
750 pieces of paper
Step-by-step explanation:
can't
At a lightbulb manufacturing plant, 2% of the lightbulbs are found defective. If the plant had 56 defective lightbulbs on a certain day, how many did it manufacture that day?
Answer:
2800 lightbulbs
Step-by-step explanation:
Divide 56 by 2% to cancel out the multiplication used to find the amount of defective lightbulbs.
!!HELP!! What is the rule for finding the distance of a point when the points are in the different Quadrants?
Answer:
You can find the distance between two points in different quadrants having the same x-coordinates by finding the sum of the absolute values of the y-coordinates.
Step-by-step explanation:
3) A is between B and C. If BC= 8x + 5, AB= 2x + 4, and AC= 3x + 7, then
find AB
Answer:
AB = 8
Step-by-step explanation:
A is between B and C. If BC= 8x + 5, AB= 2x + 4, and AC= 3x + 7, then find AB
Step 1
Find x
BC = AB + AC
8x + 5 = 2x + 4 + 3x + 7
Collect like terms
8x - 2x - 3x = +4 + 7 - 5
3x = 6
x = 2
Step 2
Find AB
= AB= 2x + 4
AB = 2(2) + 4
AB = 4 + 4
AB = 8
Gabriella invested $73,000 in an account paying an interest rate of 3%
compounded continuously. Mila invested $73,000 in an account paying an interest
rate of 3% compounded quarterly. After 5 years, how much more money would
Gabriella have in her account than Mila, to the nearest dollar?
Answer:
Gabriella will make $61 more than Mila after 5 years
Step-by-step explanation:
Gabriella Data
Principal Amount P= $73,000
Rate r = 3% or 0.03
Compounded continuously
Time t = 5 years
The formula used is: [tex]A=Pe^{rt}[/tex]
Putting values and finding A
[tex]A=Pe^{rt}\\A=73000e^{0.03*5}\\A=73000e^{015}\\A=84813.899\\A\approx84814[/tex]
So, After 5 years Gabriella will have $84814
Mila Data:
Principal Amount P= $73,000
Rate r = 3% or 0.03
Compounded quarterly n = 4
Time t = 5 years
The formula used is:[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
Putting values and finding A
[tex]A=P(1+\frac{r}{n})^{nt}\\A=73000(1+\frac{0.03}{4})^{4*5}\\A= 73000(1+0.0075)^{20}\\A= 73000(1.0075)^{20}\\A=73000(1.161)\\A=84753[/tex]
So, After 5 years Mila will have $84753
Now subtracting to find the difference 84814-84753 = 61
So, Gabriella will make $61 more than Mila after 5 years
why was mom now saying that Augie did not have to go to school
Answer:
Is there suppose to be a picture?
Step-by-step explanation:
Answer:
Because she liked Augle more than the other child
Step-by-step explanation:
She didn't want him to go to school so that she could spend the day with her favorite child
Translate this equation into a verbal sentence.
4(a + b) = 9a
Answer:
Four times a plus b equals nine times a
Hurry i need help!!!!!
Answer:
Sorry i would help but the paper is unclear
Step-by-step explanation:
Im only have 10 minutes please. Is math
1.5.3
6x+7
To solve for the lengths of the right triangle sides, which equation is correct?
A. x² = (4x - 1)² + (6x + 7)?
B. x2 +(6x + 7)2 = (4x - 1)2
c. x² = (4x - 1)² – (6x + 772
D.x² + (4x - 1)2 = (6x + 7)?
4x-1
To solve for the lengths of the right triangle sides, equation is correct.
(Type A, B, C, or D.)
Answer:
A. [tex]x^2 = (4x - 1)^2 + (6x + 7)^2[/tex]
Step-by-step explanation:
The question seems to be incomplete. However, we'll make the following assumption.
[tex]Opposite = 6x + 7[/tex]
[tex]Adjacent = 4x - 1[/tex]
[tex]Hypothenuse = x[/tex]
Pythagoras theorem states that:
[tex]Hypothenuse^2 = Opposite^2 + Adjacent^2[/tex]
Substitute values for Hypothenuse, Opposite and Adjacent.
This gives
[tex]x^2 = (6x + 7)^2 + (4x - 1)^2[/tex]
or
[tex]x^2 = (4x - 1)^2 + (6x + 7)^2[/tex]
From the list of given options.
A answers the question
Suppose a box contains 10 coins, where three of them are type-A and seven of them are type-B. The probability of head is 0.4 if we toss a type-A coin and 0.6 for a type-B coin. One person chooses one coin at random and tosses it three times. What is the probability that this coin is type-A if the outcome is two heads out of three tosses?
Answer:
0.222
Step-by-step explanation:
Given that:
For Type A coins = 3
The probability of head in a type A coin i.e. (p) = 0.4
Then, the probability of getting a tail (q) = 1 - p = 1 - 0.4 = 0.6
For Type B coins = 7
The probability of head in a type B coin i.e. (p) = 0.6
Then, the probability of getting a tail (q) = 1 - p = 1 - 0.6 = 0.4
One person who tosses a coin three times get a probability of obtaining a head twice.
Using, the formula:
=[tex]^nC_r \times p^r \times q^{n-r}[/tex]
For Type A coin;
The probability of getting two heads in three tosses is:
[tex]= ^3C_2 \times 0.4^2 \times 0.6^{1}[/tex]
[tex]=\dfrac{3!}{2!(3-2)!} \times 0.4^2 \times 0.6^1[/tex]
= 0.288
For Type B coin;
The probability of getting two heads in three tosses is:
[tex]= ^3C_2 \times 0.6^2 \times 0.4^{1}[/tex]
[tex]=\dfrac{3!}{2!(3-2)!} \times 0.6^2 \times 0.4^1[/tex]
= 0.432
Since we have two heads out of three tosses, the probability that the coin is type A is = (P) of choosing coin A × (P) of obtaining two heads from three tosses) / total probability of getting two heads from three tosses.
However;
(P) of choosing coin A = 3/10 = 0.3
(P) of choosing coin B = 7/10 = 0.7
∴
Given that, we obtain two head from three tosses, the (P) that the coin type is A is:
[tex]= \dfrac{(0.3 \times 0.288)}{ (0.3 \times 0.288 + 0.7 \times 0.432)}[/tex]
[tex]= \dfrac{(0.0864)}{ (0.0864 + 0.3024)}[/tex]
= 0.222
what is the difference of (5,-4) (3,-11)
Answer:
-8
Step-by-step explanation:
When evaluating (6 x + 9) squared minus 5 for x = 1, the given value of 1 is substituted for what part of the expression?
the exponent
the constant
the variable
any numerical value
Answer:
the variable
Step-by-step explanation:
i got it right on edge :)
Answer:
the variable
Step-by-step explanation:
Edg 2021
PLEASEEEEEEEEEE ANSWER QUICK WILL GIVE BRAINLIST
Answer:
102
Step-by-step explanation:
1.2*85=102
Answer:
Step-by-step explanation:
A.85 pizzas * 20%= 17 additional pizzas for total of 102 pizzas
B. If you are using the 102 pizzas:
65/102= 63.73% of the 102 pizzas so a decrease.
If you are going by the 85 pizzas:
65/85= 74.47% decrease from original 65 pizza
can someone help me with this?
Answer:
give more information
Step-by-step explanation:
sorry
Explain why the rearranged expression is easier to work with