Problem 1
Answer: 5/14-----------------------
Explanation:
We have 5 males and 3 females, so there are 5+3 = 8 mice total. The probability of selecting a male is 5/8. After that male is chosen, there are 5-1 = 4 of them left out of 8-1 = 7 total. This subtraction happens because the first mouse selected is not replaced. The probability of picking another male is 4/7.
Multiplying these fractions leads to the answer
(5/8)*(4/7) = (5*4)/(8*7) = 20/56 = 5/14
Note: to reduce 20/56 into 5/14, you divide both parts by the GCF 4.
====================================================
Problem 2
Answer: 9/14-----------------------
Explanation:
The events "selecting two males" and "selecting at least one female" are complementary events. One or the other, but not both, must happen.
If we let
A = event of selecting two malesB = event of selecting at least one female (ie one or more females)then we can say
P(A) + P(B) = 1
P(B) = 1 - P(A)
P(B) = 1 - (5/14)
P(B) = (14/14) - (5/14)
P(B) = (14-5)/14
P(B) = 9/14
Note how P(A) = 5/14 is the result from problem 1.
====================================================
Problem 3
Answer: 15/28-----------------------
Explanation:
The probability of selecting a male is 5/8. After the male is chosen, there are 8-1 = 7 mice left. The probability the second mouse is female is 3/7 since there are 3 female mice out of 7 left total.
We get this result after multiplying the values: (5/8)*(3/7) = 15/56
Now consider that the first mouse is female. The probability of this is 3/8. The probability that the second mouse is male is 5/7.
The fractions multiply to (3/8)*(5/7) = 15/56. We get the same result as before due to the numerators swapping places, but not much else happens. So we have a sort of symmetry going on here.
The last step is to add the two results we got:
(15/56)+(15/56) = (15+15)/56 = 30/56 = 15/28
Or you could compute it like this
2*(15/56) = (2*15)/56 = 30/56 = 15/28
The '2' is to signify there are two ways to select exactly one male and exactly one female, where the order doesn't matter.
--------------------------
Here's another way we can get the answer.
The probability we get both males is 5/14 found back in problem 1.
The probability we get both females will follow the same idea as problem 1, and we would compute (3/8)*(2/7) = 6/56 = 3/28
Add those fractions: (5/14) + (3/28) = (10/28) + (3/28) = 13/28
Now consider the events
C = event of selecting two mice of the same gender (both are male OR both are female; pick 1 scenario only)D = event of selecting two mice of different genders (the first is male, the other is female, or vice versa)Events C and D are complementary events.
We calculated that P(C) = 13/28, which means
P(D) = 1 - P(C)
P(D) = 1 - (13/28)
P(D) = (28/28) - (13/28)
P(D) = (28-13)/28
P(D) = 15/28
7
A chord of a circle is 18 cm long. It is
6.3 cm from the centre of the circle
Calculate the radius of the circle to the
nearest whole number. step by step show the calculation
Answer:
11 cm
Step-by-step explanation:
r² = 9² + 6.3²
r² = 120.69
r = 10.9859000542
Rounded
r = 11 cm
Answer:
[tex]\rm 10.9 cm [/tex]
Step-by-step explanation:
Given that :-
A chord of a circle is 18 cm long. It is 6.3 cm from the centre of the circle.And we need to find out the radius of the circle.
[tex]\text{ Theorem :-}[/tex]
Perpendicular from the centre of circle , to the chord , bisects the chord .Using Pythagoras Theorem :-
[tex]\implies \rm OA^2= AB^2+OB^2\\\\\rm\implies OA^2= (6.3 cm)^3+(9cm)^2\\\\\rm\implies OA^2=
120.69 \\\\\implies\boxed{\rm OA = 10.9 cm }[/tex]
Hence the radius is 10.9 cm
Instructions: Find the missing side lengths. Leave your answers
radicals in simplest form.
Please help, no links
Answer:
Im pretty sure the first one is [tex]4\sqrt{3}[/tex]
and the second is 4
If John solved the equation x? - 10x + 8 = 0 by completing the
square, one of the steps in his process would be
(1) (x-5)^2 = -8
(2) (x-5)^2 = 17
(3) (x+ 4)^2 = 10x
(4) (x + 4)^2 = 10x + 16
Answer:
[tex](x - 5)^{2} =17[/tex]
Step-by-step explanation:
[tex]x^{2} -10x = -8 \ add \ and \ subtract \ 25;\\x^2-10x+25-25= -8\\(x-5)^2 - 25 = -8\\(x-5)^2 = 17\\x-5=+\ \sqrt{17} \\\x_{1,} _{2} =5+\sqrt{17}[/tex]
WHATS THE ANSWER?? answer ASAP
Answer:
A
Step-by-step explanation:
Here is the problem:)
Answer:
Yes, there are exactly 2 ways to solve this triangle.
Step-by-step explanation:
Well we know that to find out a trigonometric ratio we are given an angle and a side, and we have to solve for the other side. In this case only 2 of the legs are given, hypotenuse is neither given nor asked. So we have to use the ratio that doesn't have hypotenuse included. Tangent is the only such ration. Now we can use either Tan(51) or Tan(39) to solve for the "x".
These would be the functions to solve for x:
1.) Tan(51) = [tex]\frac{x}{10}[/tex]
2.) Tan (39) = [tex]\frac{10}{x}[/tex]
Hope this helps!
can someone help me really please
Answer:
bro I don't know seach on chome
Out of 195 students, 9% have
hazel eyes. How can you estimate the number of
students with hazel eyes?
Answer:
round it to 18 since 9% of 195 is 17.55
Step-by-step explanation:
Difference between 8.2 and 4.99
Answer:
use calculator the answer is 3.21
write 23/6 as an mixed number
Answer:
3 5/6
Step-by-step explanation:
18/6 = 3
23-18=5 (5/6 are left)
HELPP can someone give me the answer to this questions?
Answer:
Step-by-step explanation:
(21+13/74-18x3)x10=17
rad3/ 2=0.86
ad 281^r2-160^2=231
2^10-2^9=512
ultima= 4
PLSSSSSSSSSSS HELPPPPPPPPPP OMG PLSSSSSSSS HELPPPPPP
Answer:
A
Step-by-step explanation:
You can see they are multiplying x by 3 every time.
Answer:
A) y=3x
Step-by-step explanation:
find the pattern between x and y. if we try using the equation y=3x, plug in the values to check if its correct.
input(x) = 2
output(y)=6
6=3(2)
6=6
5.23y+3.8 times (2.7-1.6y)
Answer:
− 0.85 y + 10.26
Step-by-step explanation:
The multiplication of the expression (5.23y + 3.8) and (2.7 - 1.6y) will be 8.041y + 10.26 - 8.368y²
What is the value of the expression?When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.
The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.
The expression is given below.
⇒ (5.23y + 3.8) · (2.7 - 1.6y)
Simplify the expression, then we have
⇒ (5.23y + 3.8) · (2.7 - 1.6y)
⇒ 14.121y + 10.26 - 8.368y² - 6.08y
⇒ 8.041y + 10.26 - 8.368y²
More about the value of the expression link is given below.
https://brainly.com/question/23671908
#SPJ2
(8-5/2-2)-4
=?
Please helping me!!!
Answer: Hope This Helps!
Step-by-step explanation:
Simplify the expression.
Exact Form:
87/40
Decimal Form:
2.175
Mixed Number Form:
2 7/40
Nick's science test has a section with twelve true-or-false questions. In how many different ways can Nick answer the questions?
Answer:
you can do 2^12=4096
there are 4096 different ways nick can answer the question
a force of 200 n is excreted horizontally on a box of mass 18 kg ti displace it through a distance of 6 mass. how much work is done?
Answer:
28
Step-by-step explanation:
The price of an 18-minute phone call is 1.60$. What is the price of an 18-minute phone call?
len
2. Demetri wakes up at 9:15. It takes him
35 minutes to fold 4 loads of laundry,
35 minutes to bathe the dog, 45 minutes
to bake brownies, and 1 hour to mow the
lawn. After he finishes all of his chores,
he sits down to rest. What time does
Demetri rest?
Answer:
I think the answer is 11.20 am
Estimate 62% of 196.
A. 80
B. 100
C. 120
O D. 140
HURRY PLEASE
Answer:
The answer is C: 120
Step-by-step explanation:
Ok so to solve this, you need to know that when "of" is in an equation, it always means multiply.
So 62% of 196 = 62% * 196.
62% * 196 = 121.52
Then you need to round 121.52 to the nearest option, which is Option C: 120.
Good luck on your assignment (or whatever this is)!! Have a nice day!!
Someone please help me with this.
Answer:
fjf brotherhood handy urgency if it's by Griffith Jr it cuz if he by us if he my na na na hg hg hhbnnnnnñmmmmnnnnnnnn
Given:
VC, CU - secants
Prove: CI·CU = CJ·VC
Answer:
this should help
Step-by-step explanation:
https://answer-helper.com/mathematics/question16732528
Answer:
No answer sorry
3. The ratio of blue marbles to white marbles in Simran’s bag is equal to
1 to 2. If there are 20 blue marbles,
how many white marbles are there?
A 20 C 40
B 30 D 50
Answer:
its 40
Step-by-step explanation:
1x20 = 20
and 2x20=40
Answer:
C) 40
Step-by-step explanation:
Ratio of blue to white marbles: 1:2 = 20:40
Find the equation of the exponential function represented by the table below:
Answer:
y = 0.2(0.5)^x
Step-by-step explanation:
Exponential function are of the form
y = ab^x
----------------------
To find "a" plug in x = 0 y = 0.2
0.2 = a(0.2)^0
0.2 = a
-------------------------
To find "b" plug in another point and a = 0.2
using x = 2, b = 0.05
0.05 = 0.2b^2
Divide both sides by 0.20
.25 = b^2
Take the square root of both sides
0.5 = b
-----------------------------
With a = 0.2 and b = 0.5 the equation becomes
y = 0.2(0.5)^x
Help me out !!!!!!!!!!
8 + 6/2 + 1/4?? In a fraction form! Needs help now.
Answer:
11 1/4 or 45/4
what is the set of multiples of 4 between 14 and 32
Answer:
{16,20,24,28}
Step-by-step explanation:
___________
Which represents the area of this rectangle?
Answer:
I think is b
Step-by-step explanation:
sorry if it is not right
Jason ran 2.8 miles yesterday and 3.4 miles today making his two day average 3.1 miles. How many kilometers does he average? Round your answer to the nearest hundredth.
a. 4.991 km
b. 4.99 km
c. 9.98 km
d. 4.51
1. Christine picks three pumpkins. They weigh
6 14 pounds, 2 1/3 pounds, and 1 1/8 pounds.
What is the total weight of the pumpkins?
Answer: [tex]9\dfrac{17}{24}\ \text{Pounds}[/tex]
Step-by-step explanation:
Given
Christine Picks three Pumpkins which weighs
[tex]6\dfrac{1}{4}=\dfrac{6\times 4+1}{4}\ \text{Pounds}[/tex]
[tex]2\dfrac{1}{3}=\dfrac{2\times 3+1}{3}\ \text{Pounds}[/tex]
[tex]1\dfrac{1}{8}=\dfrac{8\times 1+1}{8}\ \text{Pounds}[/tex]
The total weight will be the addition of the weights of each pumpkin
[tex]\Rightarrow \dfrac{25}{4}+\dfrac{7}{3}+\dfrac{9}{8}\\\\\text{Take the LCM of the denominators which will be 24}\\\\\Rightarrow \dfrac{25\times 6}{24}+\dfrac{7\times 8}{24}+\dfrac{9\times 3}{24}\\\\\Rightarrow \dfrac{150+56+27}{24}\\\\\Rightarrow \dfrac{233}{24}\ \text{Pounds}\\\\\Rightarrow 9\dfrac{17}{24}\ \text{Pounds}[/tex]
All the songs all the figures except a _____ have to bases
Answer:
Square pyramid
Step-by-step explanation:
How tall is the flagpole??
Answer:
I would assume 186
Step-by-step explanation:
Since 48x3=144
62x3=186
Or x