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
Arnez bought five shirts from a store and had $10 left. If he had only bought three shirts, he would have had $24 left. If each shirt costs the same, determine x, the cost of each shirt.
Answer:
x=8
Step-by-step explanation:
If Archibald and Rasmus can paint the equivalent of 5/12 of a fence in an hour, how many minutes will it take for them to complete the job?
Answer:
144 minutes
Step-by-step explanation:
1 hr = 60 minutes
5/12 of a fence in 60 mimnnutes
(5/12)x = 60
Multiply both sides by 12/5
x = 60 * 12/5
x = 144
144 minutes
If Archibald and Rasmus can paint the equivalent of 5/12 of a fence in an hour, then 144 minutes will take them to complete the job.
What is an algebraic expression?An algebraic expression stands for the combination of variables, coefficient, constant, or all three in a mathematical form where both sides are set equivalent to each other.
Let x be the minutes.
1 hr = 60 minutes
5/12 of a fence in 60 minutes
(5/12)x = 60
Multiply both sides by 12, and we get
[tex]$12 \cdot \frac{5}{12} x=60 \cdot 12$[/tex]
Simplifying the above equation, we get
5x = 720
Divide both sides by 5
[tex]$\frac{5 x}{5} = \frac{720}{5}[/tex]
Simplify
x = 144
The value of x = 144.
Therefore, 144 minutes will take them to complete the job.
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53 grams equals how many ounces?
Answer:
1.86952 ounces
Select the correct answer.
If , what is the value of ?
A.
24
B.
50
C.
84
D.
75
heres the answer :) uhh i need 20 wrds so uhhhhhskcljadj
PLS HELP ITS URGENT!!
The circumference of the ball is 9.4 inches. What is the approximate surface area and volume of the ball? Round your answers to the nearest unit.
The surface area of the ball is approximately
square Inches.
The volume of the ball is approximately
cubic Inches.
Answer:
SA= 28 in^2
V= 14 in^3
Step-by-step explanation:
circumference= 2πr
9.4 = 2πr
r = 1.496
surface area of a ball = [tex]4\pi r^{2}[/tex]
= [tex]4\pi (1.496)^{2}[/tex]
=28 in^2
volume of a ball= [tex]\frac{4}{3} \pi r^{3}[/tex]
= [tex]\frac{4}{3} \pi (1.496)^{3}[/tex]
=14 in^3
HURRYYYYYYYY
If x 3 = -27, then what is x?
-9
-3
3
9
Answer:
Step-by-step explanation:
x/3=—27/3
Therfore, x=-9
A
In a circle of radius 10 cm, a sector has an area of 40 (pi) sq. cm. What is the degree measure of the arc of the sector?
72
144
180°
Answer:
144°
Step-by-step explanation:
First, find the area of the circle, with the formula A = [tex]\pi[/tex]r²
Plug in 10 as the radius, and solve
A = [tex]\pi[/tex]r²
A = [tex]\pi[/tex](10²)
A = 100[tex]\pi[/tex]
Using this, create a proportion that relates the area of the sector to the degree measure of the arc.
Let x represent the degree measure of the arc of the sector:
[tex]\frac{40\pi }{100\pi }[/tex] = [tex]\frac{x}{360}[/tex]
Cross multiply and solve for x:
100[tex]\pi[/tex]x = 14400[tex]\pi[/tex]
x = 144
So, the degree measure of the sector arc is 144°
Answer:
Solution :-We know that
Area = πr²
Area = 3.14 × (10)²
Area = 314/100 × 100
Area = 314 cm²
Now
40π/314 = x/360
40 × 3.14/314 = x/360
125.6/314 = x/360
0.4 = x/360
0.4 × 360 = x
144 = x
[tex] \\ [/tex]
Angle x and 56 are complementary. What is the value of x?
149
34
56
90
Answer:
34°
Step-by-step explanation:
90-56=34°
__________
Jamal needs several feet of wood for a birdhouse
project. He already has 12 yards. How many feet are
in 12 yards?
Answer:
36
Step-by-step explanation:
multiple by the length value by 3
How many times longer I s on be mile that one foot
Answer:
5,280 times
hope this helps
have a good day :)
Step-by-step explanation:
What is the area of the figure?
A. 52 cm2
B. 52 cm
O C. 130 cm
O D. 130 cm2
Answer:
B is the answer
Answer:
130 cm^2
Step-by-step explanation:
split the figure into two rectangles, one can be 4x5 rectangle and the other can be the 11x10 rectangle. now multiply.
4x5 = 20
11x10=110
20+110 = 130 cm^2
what is 120 ratio 5:7
Answer:
50
Step-by-step explanation:
1/10 *as a fraction* divided by 5
Please help! Fast!!
Answer:
1/50
Step-by-step explanation:
1/10÷5/1=
1/10•1/5=
1/50
CAN SOMEONE PLEASE HELP ME :(
Answer:
Step-by-step explanation:
d
PLEASE ANYONE HELP! DONT ANSWER IF UNSURE PLEASE
Answer:
length 5cm, width 4cm, door width 2/5cm or. 4cm, length 10 ft, width 7.5 ft
Determine whether the sampling is dependent or independent. Indicate whether the response variable is qualitative or quantitative.
A psychologist wants to measure the effect of music on memory. He randomly selects 80 students and measures their scores on a memory test conducted in silence. The next day he measures their scores on a similar test conducted while classical music is playing. The mean score without music is compared to the mean score with music.
A. quantitative, independent.
B. quantitative, dependent.
C. qualitative, dependent.
D. qualitative, independent.
Answer:
its B i did chapter 11 test yesterday
Step-by-step explanation:
HURRY!!!!!!!
Given the number of times I walk around the lake. Find the number of miles I walked around the lake. Note: it is 2.6 miles around the lake, and if I start walking a lap, I must finish the lap because I have to get back to my car. I had to walk ON THE PATH, and cannot go backwards, only forwards. I won't deviate off the path, so it will ALWAYS take 2.6 miles to go around!
Write the function rule, where x is the independent variable, and y is the dependent variable.
a
x=2.6y
b
y=2.6x
c
x=2.6+y
d
y=2.6+x
Answer:
A. x= 2.6y
Explanation
What is the 5 number summary for this data? 10,9,3, 4, 2, 8, 22
NO LINKS
Answer:
Here's li^{} nk to the answer:
bit.^{} ly/3fcEdSx
Identify the terms,like terms,coefficient and constants
what is the value of n?
Answer:
5?
Step-by-step explanation:
what is the set of multiples of 4 between 14 and 32
Answer:
{16,20,24,28}
Step-by-step explanation:
___________
Louis wants to carpet the rectangular floor. The floor has an area of 507 square feet. The width of the floor is 1/3 it's length. what is the length of the floor?
Width x Length
X = Length
[tex]\frac{1}{3}[/tex] = 507
[tex]x^{2}[/tex] = 1521 [tex]ft^{2}[/tex]
X = 39[tex]ft[/tex]
Plz help me with this. Thank you!
Answer:
58 units
Step-by-step explanation:
[tex]7 \times 10 = 70[/tex]
[tex]6 \times 2 = 12[/tex]
[tex]70 - 12 = 58[/tex]
Which is the simplified form of the expression?
10n−13(9n−12)
7n + 4
7n – 4
3n + 4
3n – 12
Given:
Consider the given expression is:
[tex]10n-\dfrac{1}{3}(9n-12)[/tex]
To find:
The simplified form of the given expression.
Solution:
We have,
[tex]10n-\dfrac{1}{3}(9n-12)[/tex]
Using distributive property, it can be written as:
[tex]=10n-\dfrac{1}{3}(9n)-\dfrac{1}{3}(-12)[/tex]
[tex]=10n-3n+4[/tex]
[tex]=7n+4[/tex]
Therefore, the correct option is A.
f(x) = - 2x - 3
g(x) = 3x + 1
Find (f. g)(x).
Which statement is true??
click to see the question
If you helped thank you!
Answer:
G
Step-by-step explanation:
G is the only true one
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. What value of x satisfies this equation? 1.5(4)^2x=12 Round your answer to the nearest hundredth. The value of x is .
Answer:
O.75
Step-by-step explanation:
The value of x in the equation 1.5(4)^2x is equal to 12 is 3/4 after equation the power of same base.
What is integer exponent?In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.
We have an equation:
[tex]\rm 1.5(4)^2^x=12[/tex]
[tex]\rm (4)^2^x=8[/tex]
[tex]\rm (2^2)^{2x}= 2^3[/tex]
[tex]\rm 2^{4x}=2^3[/tex]
4x = 3 (equating powers of same base)
x = 3/4
Thus, the value of x in the equation 1.5(4)^2x is equal to 12 is 3/4 after equation the power of same base.
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convert 12 1/2 to a precent A. B. 12.5% C. 125% D. 1,250%
Suppose you conduct a hypothesis test based on a sample where the sample size is n = 50, and arrive at a p-value of 0.08. You then refer back to your notes and discover that you made a careless mistake, the sample size should have been n = 500. Will your p-value increase, decrease, or stay the same? Explain.
Answer:
Decrease
Step-by-step explanation:
The Pvalue is used to measure the level or decide if a particular research claim is significant or not. The sample size also plays a role in the Pvalue of a statistical analysis. Larger sample sizes tend to prove the significance of the claim. Using the Pvalue approach, the significance of a claim is examined by the and established by small P values. Therefore, an initial Pvalue of 0.08 obtained using a sample size of 50. The Pvalue will most likely witness a further decrease in the Pvalue if the sample size is increased to 500 as this would move the claim closer to being significant.
In AJKL, 1 = 620 inches, k = 910 inches and ZK=53°. Find all possible values of ZL,
to the nearest degree.
Answer:
33 degrees is your answer