Answer:
1/2
Step-by-step explanation:
Total -- 6 people
3 people -- 3/6 = 1/2
Therefore, the answer is 1/2
The probability that a randomly selected person will have red hair for this case is obtained being 1/2 (in fraction form) or 0.5 (in decimal form).
How to calculate the probability of an event?Suppose that there are finite elementary events in the sample space of the considered experiment, and all are equally likely.
Then, suppose we want to find the probability of an event E.
Then, its probability is given as
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)}[/tex]
where favorable cases are those elementary events who belong to E, and total cases are the size of the sample space.
For this case, we're given that:
Number of people from which selection is done = 6Total number of people of out of those 6 people having red hairs = 3One person is selected in random.We can assume that all the people are equally likely to get selected for this case as selection was done randomly, so all of the 6 people was likely to get chosen without bias.
Now, let we take:
E = event of selecting a red hair person
Then, the number of ways a selection ends up making E happen = 3 (as there are 3 people with red hair, so any of those 3 getting selected will make E happen).
Total number of ways selection can be done = 6 (as selection is done from those 6 people).
Thus, we get:
[tex]P(E) = \dfrac{\text{Number of favorable cases}}{\text{Number of total cases}} = \dfrac{n(E)}{n(S)} = \dfrac{3}{6} = \dfrac{1}{2} = 0.5[/tex]
Thus, the probability that a randomly selected person will have red hair for this case is obtained being 1/2 (in fraction form) or 0.5 (in decimal form).
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A sphere with a diameter of 9 units fits exactly in the clear glass cube as shown.
A sphere is inside of a cube. The cube has side lengths of 9 units.
Which expression represents the volume, in cubic units, of empty space in the cube?
Four-thirdsπ(4.53) – (4.5)3
(9)3 – Four-thirdsπ(4.52)
Four-thirdsπ(4.53) – (9)3
(9)3 – Four-thirdsπ(4.53)
Answer:
D
Step-by-step explanation:
The volume of the empty space in the cube can be represented by the expression mentioned in the (D) option (D) is correct.
What is a sphere?It is defined as three-dimensional geometry when half-circle two-dimensional geometry is revolved around the diameter of the sphere that will form.
[tex]\rm V = \dfrac{4}{3} \pi r^3[/tex]
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
It is given that:
A sphere with a diameter of 9 units fits exactly in the clear glass cube.
Diameter = 9 units
The radius r = 9/2 units
The volume of the sphere:
[tex]\rm V = \dfrac{4}{3} \pi (9/2)^3[/tex]
[tex]\rm V = \dfrac{4}{3} \pi (4.5)^3[/tex]
The volume of cube = a³
a is the side length
The volume of the cube = (9)³
The volume, in cubic units, of empty space in the cube:
[tex]=(9)^3- \rm \dfrac{4}{3} \pi (4.5)^3[/tex]
Thus, the volume of the empty space in the cube can be represented by the expression mentioned in the (D) option (D) is correct.
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Bryce, a top landscape architect, was given a special garden design job. The client owned a property as shown below, in which he wanted to have four separate small gardens, each of them exactly the same size and shape. In other words, “congruent.” Remember, all four gardens must fit exactly within the shape of the property as shown below; you can’t change the dimensions of the property or move things around - you have to keep your design within the original shape. Bryce came up with an ingenious design that fit the client’s request exactly. Can you figure out what his design was?
.........................................
Add or subtract. Th S. 29 + 46
Answer:
Add I think
If there is a plus sign shouldnt it be adding
please helpp me with this assignment
A manufacturer produces widgets that are packaged in boxes of 100. The probability of a widget being defective is 0.021. Find the mean and standard deviation for the number of defective widgets in a box.
Answer:
[tex]\=x=2.1[/tex]
[tex]\sigma=2.03[/tex]
Step-by-step explanation:
From the question we are told that:
Sample size[tex]n=100[/tex]
Probability of a defective widget [tex]P=0.021[/tex]
Generally the equation for binomial trial is mathematically given by
[tex]q=1-p[/tex]
[tex]q=1-0.021[/tex]
[tex]q=0.979[/tex]
Since X is binomial random variable with functions of n and p,The equation of mean \=x
[tex]\=x=E(x)[/tex]
Where
[tex]E(x=n*p)[/tex]
[tex]\=x=100*0.021[/tex]
[tex]\=x=2.1[/tex]
Generally the equation for variance \sigma is mathematically given by
[tex]\sigma=\sqrt{nqp}[/tex]
[tex]\sigma=\sqrt{200*0.021*0.979}[/tex]
[tex]\sigma=2.03[/tex]
Again, suppose you were to draw all possible samples of size 36 from a large population with a mean of 650 and a standard deviation of 24. You then compute the sample mean x-bar for each sample. From the long list of sample means, you create the sampling distribution of the sample mean, assigning probabilities to all possible values of x-bar. What value should you show at the center of the distribution
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]\bar{x}=650\\\\\sigma =24\\\\n=36\\\\[/tex]
Calculating the sampling distribution of the sample mean:
[tex]\to \mu=\mu_\bar{x}=650[/tex]
Calculating the sampling distribution of the standard deviation:
[tex]\to \sigma_\bar{x}=\frac{\sigma}{\sqrt{n}}=\frac{24}{\sqrt{36}}=\frac{24}{6}=4[/tex]
At a local basketball game, all tickets are the same price and all souvenirs are the same price. Mr. Smith bought 2 tickets to this basketball game and 1 souvenir for
a total of $17.25. Ms. Lockhart bought 5 tickets to the same game and 2 souvenirs
for a total of $42.00. How much was a ticket to this game?
Answer:
the answer will be 7.50
Step-by-step explanation:
Dominic's car used 8 gallons to travel 192 miles. At what rate does the car use gas, in
miles per gallon?
Answer:
24 miles per gallon
Step-by-step explanation:
to find the unit rate you divide 192 by 8 and that is 24
so it takes Dominic 1 gallon to drive 24 miles
hope this helps!
Find the AREA.
help I need help fast I have 15 minutes
Answer:
78
Step-by-step explanation:
a= (a+b/2)(H)
9+17=26/2=13x6= 78
do bedmas
hope this helps
ANSWER FAST
SHOW YOUR WORK
1. 9.5 + x = 14.2
Answer:
4.7
Step-by-step explanation:
14.2 - 9.5 = 4.7
hope that helps!
Find the volume
Show work
Sir there seems to be a picture in your pixels.
i would assume the measurements (from left to right) is 34m 14m 20m and 14m
find the area of the triangle so split the 24 in half 12 and 12
then multiply 12*14 which is 168
i would assume the area is 168m^2
then multiply by 20m
3360m ^3
1) Which choice best represents the height of a clothes dryer. A 1 meter B kilometer c1 centimeter D. 1 millimeter
Help me and I’ll give you Brainliest and if u don’t know don’t answer
Answer:
2 in. × 25 in. [Choice 2]5 in. × 10 in. [Choice 4]1 in. × 50 in. [Choice 6]Plz help will mark as brainleist
Answer: B
Step-by-step explanation:
First, simplify the main expression. The answer is 21.
Then simplify A. It is -106. That is not equal to 21 so A is wrong.
Then simplify B. That is 21. That means B is correct and you don’t have to solve C or D.
Consider a sample with data values of 10, 20, 12, 17, and 16. Compute the -score for each of the five observations (to 2 decimals). Enter negative values as negative numbers. Observed value -score
Answer:
Hence, the score for each of the five observations are [tex]-1.25,1.25,-0.75,0.50,0.25[/tex]
Given :
Sample with data values of [tex]x_i[/tex] [tex]10,20,12,17[/tex] and [tex]16[/tex]
Sample size[tex]n=5[/tex]
To find:
Compute the score for each of the five observations.
Explanation :
[tex]\because[/tex] Sample mean [tex]\bar{x}=\frac{\sum x_i}{n}[/tex]
[tex]\Rightarrow \bar{x}=\frac{10+20+12+17+16}{5}=\frac{75}{5}[/tex]
[tex]\Rightarrow \bar{x}=15[/tex]
Standard deviation [tex]\sigma=\sqrt{\frac{\sum (x_i-\bar{x})^2}{n-1}}[/tex]
[tex]\Rightarrow \sigma=\sqrt{\frac{(10-15)^2+(20-15)^2+(12-15)^2+(17-15)^2+(16-15)^2}{5-1}}[/tex]
[tex]\Rightarrow \sigma=\sqrt{\frac{(-5)^2+(5)^2+(-3)^2+(2)^2+(1)^2}{4}}[/tex]
[tex]\Rightarrow \sigma=\sqrt{\frac{25+25+9+4+1}{4}}[/tex]
[tex]\Rightarrow \sigma=\sqrt{\frac{64}{4}} =\sqrt{16}[/tex]
[tex]\Rightarrow \sigma=4[/tex]
[tex]\because[/tex] The score of the observations [tex]Z[/tex] is [tex]\frac{x-\bar{x}}{\sigma}[/tex].
So, when [tex](x=10),[/tex] [tex]Z=\frac{10-15}{4}=-1.25[/tex]
when [tex](x=20),[/tex] [tex]Z=\frac{20-15}{4}=1.25[/tex]
when [tex](x=12),[/tex] [tex]Z=\frac{12-15}{4}=-0.75[/tex]
when [tex](x=17},[/tex] [tex]Z=\frac{17-15}{4}=0.50[/tex]
when [tex](x=16)[/tex] [tex]Z=\frac{16-15}{4}=0.25[/tex]
If f(x)=1−x^2 +x^3 , then f(−1)=
Answer:
f(-1) = -1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
FunctionsFunction NotationStep-by-step explanation:
Step 1: Define
Identify
f(x) = 1 - x² + x³
f(-1) is x = -1 for the function f(x)
Step 2: Evaluate
Substitute in x [Function f(x)]: f(-1) = 1 - (-1)² + (-1)³Exponents: f(-1) = 1 - 1 - 1Subtract: f(-1) = -1PLS HELP yxyx 115 x Х y=[ ? ]
Answer:
y=25
Step-by-step explanation:
the straight line is 180
so, 180-115=65
so, now we know x=65
triangle =180
180-65-90=25
HELPPP
If YV = 28 in, find the length of VYX.
Answer:
B) 68.91 inches
Step-by-step explanation:
To start, lets define what we are trying to find. VYX is the major arc VX, spanning from V to X crossing over Y.
We are also given that the diameter is 28 inches.
Since arc length and area are proportional to the central angle, we can create the following equality:
angle of VYX/360 = arc length of VYX/circumference
We know that the central angle of VYX = central angle of minor UV + UYX = 117 + (180-15) = 282 degrees.
282/360 * 28*pi = arc length of VYX
Thus, the length of VYX = 68.90559887 inches
Thus, the correct answer is B, 68.91 in.
Please help me I really need to finish this
Answer:
9
Step-by-step explanation:
Which figures will have a volume that is greater than 100 cubic units? Select two options. a rectangular prism with dimensions of 4 by 5 by 4 a rectangular prism with dimensions of 2 by 12 by 6 a rectangular prism with dimensions of 1.5 by 8 by 8 a triangular prism that is 6 long and has a triangular face with a base of 4 and a height of 12 a cube with side length 4.
Answer:
Options-2
Option-4
Step-by-step explanation:
two options have Volume greater than 100 units³
Options-2:remember the formula of Volume of rectangular prism
l×w×hgiven that,
width:2length:12height:6thus substitute:
2×12×6simplify multiplication:
144 units³since 144>100 it's one of our answer
Option-4:remember the formula of triangular prism
½×b×h×lgiven:
b:4h:12l:6Thus substitute:
½×4×12×6simplify multiplication:
144since 144>100 it's our answer
the other options don't satisfy the condition
The rectangular prism with dimensions of 2 by 12 by 6 and the cube with a side length of 4 have volumes greater than 100 cubic units.
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
The two figures that will have a volume greater than 100 cubic units are:
A rectangular prism with dimensions of 2 by 12 by 6
Volume = length x width x height
= 2 x 12 x 6
= 144 cubic units
A cube with a side length 4
Volume = side x side x side
= 4 x 4 x 4
= 64 cubic units
Therefore,
The rectangular prism with dimensions of 2 by 12 by 6 and the cube with a side length of 4 have volumes greater than 100 cubic units.
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Scores for a common standardized college aptitude test are normally distributed with a mean of 496 and a standard deviation of 110. Randomly selected men are given a Test Preparation Course before taking this test. Assume, for sake of argument, that the preparation course has no effect. If 1 of the men is randomly selected, find the probability that his score is at least 545.7. P(X > 545.7)
Answer:
0.3257
Step-by-step explanation:
Given an approximately normal distribution:
Z = (x - mean) / standard deviation
Mean = 496 ; Standard deviation = 110
For :
P(x > 545.7)
We obtain the standardized, Z score
Z = (545.7 - 496) / 110
Z = 49.7 / 110
Z = 0.4518
Hence, using the Z distribution table :
P(Z > 0.4518) = 1 - P(Z < 0.4518)
P(Z > 0.4518) = 1 - 0.67429
P(Z > 0.4518) = 0.32571
please help me!! its due at 8pm
Answer:
1. 1,538.60 cm³
2. 314.00 m³
Step-by-step explanation:
1. Given:
Diameter = 14 cm
Radius (r) = ½(14) = 7 cm
height (h) = 10 cm
π = 3.14
Volume of cylinder = πr²h
Plug in the values
V = 3.14*7²*10
V = 1,538.60 cm³
2. Given:
Radius (r) = 5 m
Height (h) = √(13² - 5²) = √144 = 12 m
π = 3.14
Volume of cone = ⅓πr²h
Plug in the values
V = ⅓*3.14*5²*12
V = 314.00 m³
hhhhhhhhhhhhhhhhhhhiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Answer:
hhhhhhhhhhhhhhhhhhhiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiiii
Step-by-step explanation:
Answer:
Hi
Step-by-step explanation:
Thanks so much for the free p0ints! hereś a meme to make you laugh!
Helppp plzzzzzz!!!!!!
Answer: a
Step-by-step explanation:
Help me plss. ASAP, ty
Answer:
A) 16 / 9 B) 7/9
Step-by-step explanation:
Part 3. Use side to determine if the triangles in each pair are similar. If so, complete the similarity statement. NO LINKS.!!!!
9514 1404 393
Answer:
1) Not Similar
2) Not Similar
Step-by-step explanation:
1) The side length ratios, shortest to longest, are ...
VU : UW : WV = 27 : 39 : 52 (reduced)
DC : CE : ED = 12 : 19 : 24 (reduced)
The side length ratios are different, so the triangles are NOT SIMILAR.
__
2) The side length ratios, shortest to longest are ...
MK : KL = 13 : 19 (reduced)
HK : KG = 6 : 9 = 2 : 3 (reduced)
The side length ratios are different, so the triangles are NOT SIMILAR.
Answer:
2) The side length ratios, shortest to longest are .. MK : KL = 13: 19 (reduced) HK : KG = 6:9 = 2:3 (reduced) The side length ratios are different, so the triangles are NOT SIMILAR.
Math problem 16.
Find the value of x, y and z.
Answer:
sqrt. 244
Step-by-step explanation:
a^2 + b^2 =c^2
10^2 + 12^2 =244
c^2 =244
c= sqrt. 244
Answer:
if x+y equal 90
and z equal 2 sqrt 61
if you want the real values of the x and y iam not sure but you have to use ratios and proportions Formula for example 24k=90
k =15/4
y=10k
x=12k
like this hopefully its helpful
whats 2+2 i dont know the answer .......................
Answer:
4
Step-by-step explanation:
Two cooies plus two cookies is four cookies.
What is the correct ratio? *
Answer:
The correct ratio is 40/41
What is the mode of the data?
8
3
7
5
the mode of this data is 7
Answer:
The mode of this data is 5.
Step-by-step explanation:
5 has more x