binomial(16 + 7, 16) 2^(-(16 + 7)) = ((16 + 7)!)/(16! 7! 2^(16 + 7)) = 245157/8388608 ≈ 0.02922 ≈ 1/34.22
(assuming children are independent and male and female are equally likely)
| probability
less than 16 boys | 0.9534
16 or less boys | 0.9827
more than 16 boys | 0.01734
16 or more boys | 0.04657
fraction of boys | 16/(16 + 7) ≈ 0.695652
fraction of girls | 7/(16 + 7) ≈ 0.304348
expected value | 11.5
standard deviation | 2.398
variance | 5.75
11.5
<1 and <2 are complementary angles. The measure of <1 is 54 degrees. The measure of <2 is 4x degrees. Find the value of x.
Answer:
9
Step-by-step explanation:
Complementary means they add up to 90 degrees.
54 + 4x = 90
4x = 36
x = 9
The manager of an ice cream shop is considering which ice cream flavor to offer as the special flavor next month. She asks 175 people whether they like mint or strawberry ice cream. The results are in the table below. The manager wants to increase sales, so she is deciding whether to offer mint or strawberry ice cream.
Answer:
strawberry-49%-51%
Step-by-step explanation:
The manager should offer strawberry ice
cream because 49% of the
customers surveyed like mint and 51% of the customers like strawberry
I'm going to cry please explain if ur good at math
A triangular prism has a height of 5m, a length of 204cm, and a height of 1293 mm. Find its volume.
The answer is 1 x 10^something i can't really see what it is. Please explain how to do this.
Answer:
In the triangular prism calculator you can easily find out the volume of that solid. A general formula is volume = length * base_area; the one parameter you always need to have given is the prism length, and there are four ways to calculate the base - triangle area. Our triangular prism calculator has all of them implemented, isn't it awesome?
The specific formulas look as follows:
Length * Triangular base area given triangle base and height
It's this well-known formula mentioned before:
volume = length * 0.5 * b * h
Length * Triangular base area given three sides (SSS)
If you know the lengths of all sides, use the Heron's formula to find the area of triangular base:
volume = length * 0.25 * √( (a + b + c) * (-a + b + c) * (a - b + c) * (a + b - c) )
Length * Triangular base area given two sides and the angle between them (SAS)
You can calculate area of a triangle easily from trigonometry:
volume = length * 0.5 * a * b * sin(γ)
Length * Triangular base area given two angles and a side between them (ASA)
You can calculate that using trigonometry:
volume = = length * a² * sin(β) * sin(γ) / (2 * sin(β + γ))
Step-by-step explanation:
please help to solve the question
[tex] \: \: \: \: \: \blue{\underline{\underline{ \large{ \tt{ \red{✧A \: N \: S \: W \: E \: R}}}}}}[/tex]
[tex] \large{ \tt{✽ Step - By - Step \:Explanation}} : [/tex]
[tex] \underline{ \underline{ \large{ \tt{G \: I\: V \: E \: N}}} }: [/tex]
C.P of two mobile set = Rs 55555Profit % on selling 1 mobile = 10%Loss % on selling another mobile = 10%[tex] \underline{ \underline{ \large{ \tt{S\: O \: L \:V \:I \: N \: G}} }}....[/tex]
[tex]\begin{array}{ |c| c | } \tt{Case \: I}& \text{Case \: II} \\ \hline \hline \tt{CP = x} & \tt{ CP = 55555 - x} \\ \tt{Profit\% =10 } & \tt{Loss\% = 10\%} \\\ \tt{SP_{1} = \frac{cp(100 + P\%)}{100} }\\ & \tt{SP_{2} = \frac{cp(100 - L\%)}{100} }\\ = \tt{\frac{x(100 + 10)}{10} } & = \tt{\frac{9 \cancel{0}(55555 - x)}{1 \cancel{00}}} \\ \\ = \frac{11}{10} x & = \tt{\frac{499995 - 9x}{10}} \end{array}
[/tex]
[tex] \underline{ \large{ \tt{According \: To \:Question \: (ATQ)}} }: [/tex]
[tex] \large{ \tt{ SP_{1} = SP_{2}}}[/tex]
⤏ [tex] \large{ \tt{ \frac{11}{10} x = \frac{499995 - 9x}{10}}} [/tex]
⤏ [tex] \large{ \tt{110x = 4999950 - 90x}}[/tex]
⤏ [tex] \tt{110x + 90x = 4999950}[/tex]
⤏ [tex] \large{ \tt{200x = 4999950}}[/tex]
⤏ [tex] \large{ \tt{x = \frac{4999950}{200}}} [/tex]
⤏ [tex] \large{ \tt{x = 24999.97}}[/tex]
[tex] \large{ \tt{Replacing \: Value}} : [/tex]
⤏ [tex] \large{ \tt{ SP = 2( \frac{11}{10 } \times 24999.97) = \underline{Rs \: 54999.934}}} [/tex]
[tex] \large{ \tt{CP = Rs \: 55555}}[/tex]
Since SP < CP , he / she made a loss
[tex] \large{ \tt{Loss\% = \frac{CP- SP}{CP} \times 100\% }}[/tex]
⟶ [tex] \large \tt \: \frac{55555 - 54999.934}{55555} \times 100\%[/tex]
⟶ [tex] \large{ \tt{0.99\%}}[/tex]
⟶[tex] \boxed{ \large{ \tt{1\%}}}[/tex]
Hence , Loss percent = 1%
Hope I helped ! ♕
Have a wonderful day / night ! ツ
✏[tex] \underbrace{ \overbrace{ \mathfrak{Carry \: On \: Learning}}}[/tex] !!
▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁
Answer:
[tex]\begin{gathered}\begin{array}{ |c| c | } \tt{Case \: I}& \text{Case \: II} \\ \hline \hline \tt{CP = x} & \tt{ CP = 55555 - x} \\ \tt{Profit\% =10 } & \tt{Loss\% = 10\%} \\\ \tt{SP_{1} = \frac{cp(100 + P\%)}{100} }\\ & \tt{SP_{2} = \frac{cp(100 - L\%)}{100} }\\ = \tt{\frac{x(100 + 10)}{10} } & = \tt{\frac{9 \cancel{0}(55555 - x)}{1 \cancel{00}}} \\ \\ = \frac{11}{10} x & = \tt{\frac{499995 - 9x}{10}} \end{array} \end{gathered} [/tex]
Which of the following expressions is equivalent to (2x)3 ?
Answer:
No choices, but 3(2x) is simplified to 6x
Step-by-step explanation:
3(2x) = 3 × 2x = 6x
Answer: The expression that is equivalent to (2x)3 is 6
Step-by-step explanation: The answer is 6 because x is equal to 3 so 3*2=6
Write the number and the nature of the roots of the quadratic
equation whose discriminant is 24 – 4(3)(-2).
Answer:
two unequal real roots
Step-by-step explanation:
35 - 5(4)(-3) simplifies to 35 + 60, or 95.
Because the discriminant is positive, the quadratic has two unequal real roots.
Write the ratio as a fraction in simplest form: 18 minnows to 32 fish
Answer:
9/16
Step-by-step explanation:
Use the Part = 18, as the numerator and use the Whole = 32, as the denominator. The part-to-whole fraction is 18/32
Meaning:
The Part is 18/32 of the Whole
Reducing the fraction, it is also true that:
The Part = 9/16 of the whole
72 paper clips to 63 paper clips
find the change in percent
Answer:
The number of paperclips decreased by 12.5%
Step-by-step explanation:
72-63=9
9/72 = .125 or 12.5%
Answer:
Step-by-step explanation:
To get percentage change, we use the formula:
Percentage change =
Here,
the new value is the later value of 63 and the old value is the first value of 72
Plugging in the values in the formula gives us:
Percentage change =
The percent change is 12.5% (we can also say that it is a decrease of 12.5% since negative)
I could use some help! I do not get this at all. Rules: No links please :)
Answer:
the answer is 310
Step-by-step explanation:
Answer:
310
Step-by-step explanation:
HELP ASAP THIS IS DUE TODAY THANK YOU
Answer: 169π
Step-by-step explanation:
Area=πr^2
=π·13^2
=169π
Do these three segments make a right triangle? 14cm, 23cm, and 25cm
Answer:
This is not a right triangle(No)
Step-by-step explanation:
Answer:
No.
Step-by-step explanation:
If you use Pythagorean Theorem, you can determine whether or not these measurements make a right triangle. The hypotanuse is always the longest side, or c, in this equation.
a^2+b^2=c^2
14^2+23^2=25^2
196+529=625
725=625
Obviously, this set of measurements do not make a right triangle. Hope this helped!
can someone help me find the answer to (8x+4)+(-11x+5)
Answer:
x = 3
Step-by-step explanation:
(8x + 4) + (- 11x + 5)
= 8x + 4 - 11x + 5
= 8x - 11x + 5 + 4
= - 3x + 9
- 3x + 9 = 0
- 3x = - 9
x = - 9 ÷ - 3
x = 3
•°•°•°•°•°•°•°•°•°•°•°•°•°•
I'm literally about to give up on this
Answer:
The new shape will be like the one that i have drawn for you , i think .
add two ( to base* from both sides of it * )
delete one ( from hights )
Step-by-step explanation:
Hope it was useful ;)
Help me pls ........................
.............................
Can someone please help me with this thank you
Answer:
A = 216.314
C = 52.124
Step-by-step explanation:
We know the radius so now we need to know the diameter. So multiple the radius by 2.
R = 8.3
D = 16.6
Let's find the area first
A = 3.14×r²
A = 3.14×68.89
A = 216.314
Now find the circumference
A = 3.14×d
A = 3.14×16.6
A = 52.124
Which of the following tables represents a proportional relationship?
TRUE
FALSE
1a. You would expect to roll a
4 three times.
TRUE
FALSE
TRUE
FALSE
1b. You would expect to roll an
even number 9 times.
1c. You would expect to roll a
2 or 3 ten times.
1d. The probability of rolling a
5 on one roll is
TRUE
FALSE
run me my points .
Step-by-step explanation:
find a possible value of b. 5x2 - bx - 8
Answer:
Step-by-step explanation:
Without more input from you, it's hard to find an exact value for b. However, b may take on a large range of values. b = 10 and b = -3 (chosen arbitrarily) are acceptable choices.
Take a look at the quadratic formula. The discriminant is b^2 - 4ac. There is nothing about this equation that restricts or forbids the use of any value of b.
Which expressions are equivalent to
- 77 +(-4.5) +3.52 +3y-1.5?
Select all that apply.
A. Зу -6 -3.5z
B. -6 + 3y +3.52
C. -3.5z + 3y - 6
D. 16 + 3y +(-3.52)
E. 3y +(-3.5z) - 4.5
Answer:
[tex]\color{Blue}\huge\boxed{Answer} [/tex]
D. 16 + 3y +(-3.52)
what is the negative x-intercept of y=x^2-2x-3 PLEASE HELP!!
Answer:
(-1,0)
Step-by-step explanation:
HELpPp asap I’ll mark you as brainlister
Answer:
40
Step-by-step explanation:
If you do 11 times 4 you get 44 and then you round
Please help me with this its due in 30 mins
Answer:
m/1 < m/6
m/3 + m/5 < m/7 + m/8
Step-by-step explanation:
hope this helped!
Write the expression 14(x+8) one other way.
Hii! Is this proportional or not?
Answer:
Yes, the Y value has a direct relationship with the x value.
y = 5x + 5
Step-by-step explanation:
Is the dilation an enlargement or a reduction base on the picture attached ?how can u tell ?
NEED HELP ASAP !
Answer:
Reduction
Step-by-step explanation:
Whenever you see a shape graphed where the points have ' after the letter, then that is the RESULT. So, the yellow parallelogram ABCD is the original, and the blue parallelogram A'B'C'D' is the result, which is obviously smaller than the original. So that means that it's a reduction.
I hope this made sense and helped! :)
Answer:
Step-by-step explanation:
The yellow rectangle is an enlargement of the blue one, and is a positive dilation. The blue rectangle is shrunken from the yellow one and is a negative dilation.
GIVING BRAINLIEST TO THE CORRECT ANSWER!!
Marta's dog just had six puppies. Four are female (F), and two are male (M). One of the males is brown. Two of the females are brown. All puppies are either brown or white. If Marta randomly gives away puppies to her friends, what is the probability of a friend getting a puppy that is male, brown, or both?
4. What is the probability that a puppy Marta gives away is male, brown, or both? Explain.
Answer:
male= 1/3 brown =1/2, both 1/6
Step-by-step explanation:
there is 2 males and 6 total, simplified is 1/3. there are 3 browns and 3 whites, so simplified is 1/2 instead of 3/6. There is only one brown male, so you cannot simplify it more than 1/6.
Brainliest PLZ PLZ PLZZZZZ
Answer:
[tex]\frac{2}{3}[/tex]
We are assuming that only one puppy is given away!
Step-by-step explanation:
6 puppies in total
4/6 are female 2/6 are male
2/6 female and brown 2/6 female and white 1/6 male and brown 1/6 male and white
We want all of the male population which is 2/6 and the 2/6 of the female population that are brown added together
[tex]\frac{2}{6} + \frac{2}{6} = \frac{4}{6} = \frac{2}{3}[/tex]
does “two radii” mean , 2+ radii because radii is the plural of radiuses ( sorry if this doesn’t make sense i’m confused )
The designer wants to determine how much water is covered on the surface once the pond is filled up, she claims that the Area would be 160,000 square feet. Is she correct? Justify your answer showing work.
If you know the answer please help me
Do yall like chicken :3 also what is 2+2?
Answer:
Yes and no solution :)
Step-by-step explanation:
No explanation needed for the first part.
2 as a fraction is 2/1
So rewrite as 2/1 + 2/1
We can multiply the whole equation by lets say.... 428
Now we have 856/428 + 856/428
Now we can put 0 at the other side of the equation... because... yes
856/428+856/428 = 0
Now lets just move one of these to the other side of the equation :)
856/428 = -856/428
Now I dont know, how about we cancel out the denominators.
856=-856
now if we move the right side back to the left... we get
1712=0
This equation is not true therefor 2+2 has no solution
There are 42 girls and 56 boys who want to play a game each team will have both boys and girls on it the ratio of boys and girls has to be the same for each team everyone must participate in the game if the girls and boys form the greatest number of teams possible how many boys will be on each team
Answer:
7 boys will be on the team
Step-by-step explanation:
7x6=42
7x8=56