Answer:
6. 141
7. 28
Step-by-step explanation:
Time to rewrite the expressions!
6. (8 + 45/9)² - 14(2)
First, we need to solve what's in the parentheses.
45/9 is 5. So 8 + 5 is 13. 13² - 14(2)
Now, the exponent. 13² = 169 (nice)
169 - 14(2) Multiply 14 and 2...
169 - 28 = 141
Now to rewrite 7.
12 + 36/2 - 3(1)²
Exponents first...
3² = 9 (the 1 isn't included 'cause 3 multiplied by 1 is still 3.)
12 + 36/2 - 12
Divide... 36/2 = 18
12 + 18 - 2
30 - 2
28
The radius of a circle is tripled.
How does the circumference change? Please answer quick
Answer:
A. It is tripled.
Step-by-step explanation:
Find the value of x.
62% of owned dogs in the United States are spayed or neutered. Round your answers to four decimal places. If 48 owned dogs are randomly selected, find the probability that
a. Exactly 30 of them are spayed or neutered.
b. At most 33 of them are spayed or neutered.
c. At least 31 of them are spayed or neutered.
d. Between 24 and 30 (including 24 and 30) of them are spayed or neutered.
Answer:
a) 0.1180 = 11.80% probability that exactly 30 of them are spayed or neutered.
b) 0.8665 = 86.65% probability that at most 33 of them are spayed or neutered.
c) 0.4129 = 41.29% probability that at least 31 of them are spayed or neutered.
d) 0.5557 = 55.57% probability that between 24 and 30 of them are spayed or neutered.
Step-by-step explanation:
To solve this question, we use the binomial probability distribution, and also it's approximation to the normal distribution.
Binomial probability distribution
The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
And p is the probability of X happening.
The expected value of the binomial distribution is:
[tex]E(X) = np[/tex]
The standard deviation of the binomial distribution is:
[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]
Normal probability distribution
Problems of normally distributed distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].
62% of owned dogs in the United States are spayed or neutered.
This means that [tex]p = 0.62[/tex]
48 owned dogs are randomly selected
This means that [tex]n = 48[/tex]
Mean and standard deviation, for the approximation:
[tex]\mu = E(x) = np = 48*0.62 = 29.76[/tex]
[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{48*0.62*0.38} = 3.36[/tex]
a. Exactly 30 of them are spayed or neutered.
This is P(X = 30), which is not necessary the use of the approximation.
[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]
[tex]P(X = 30) = C_{48,30}.(0.62)^{30}.(0.38)^{18} = 0.1180[/tex]
0.1180 = 11.80% probability that exactly 30 of them are spayed or neutered.
b. At most 33 of them are spayed or neutered.
Now we use the approximation. This is, using continuity correction, [tex]P(X \leq 33 + 0.5) = P(X \leq 33.5)[/tex], which is the pvalue of Z when X = 33.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{33.5 - 29.76}{3.36}[/tex]
[tex]Z = 1.11[/tex]
[tex]Z = 1.11[/tex] has a pvalue of 0.8665
0.8665 = 86.65% probability that at most 33 of them are spayed or neutered.
c. At least 31 of them are spayed or neutered.
Using continuity correction, this is [tex]P(X \geq 31 - 0.5) = P(X \geq 30.5)[/tex], which is 1 subtracted by the pvalue of Z when X = 30.5. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{30.5 - 29.76}{3.36}[/tex]
[tex]Z = 0.22[/tex]
[tex]Z = 0.22[/tex] has a pvalue of 0.5871
1 - 0.5871 = 0.4129
0.4129 = 41.29% probability that at least 31 of them are spayed or neutered.
d. Between 24 and 30 (including 24 and 30) of them are spayed or neutered.
This is, using continuity correction, [tex]P(24 - 0.5 \leq X \leq 30 + 0.5) = P(23.5 \leq X \leq 30.5)[/tex], which is the pvalue of Z when X = 30.5 subtracted by the pvalue of Z when X = 23.5.
X = 30.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{30.5 - 29.76}{3.36}[/tex]
[tex]Z = 0.22[/tex]
[tex]Z = 0.22[/tex] has a pvalue of 0.5871
X = 23.5
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{23.5 - 29.76}{3.36}[/tex]
[tex]Z = -1.86[/tex]
[tex]Z = -1.86[/tex] has a pvalue of 0.0314
0.5871 - 0.0314 = 0.5557
0.5557 = 55.57% probability that between 24 and 30 of them are spayed or neutered.
What method can be used to prove the triangles are congruent?
Options: AAS, ASA, SSS, SAS, HL or Not Possible
Answer:
An method would be ASA
Step-by-step explanation:
Please answer this correctly without making mistakes
Answer:
w-(v+4)
Step-by-step explanation:
please give brainliest
Andrew bought 3 boxes of granlla bars. There are 13 granola bars in each box. choose the expression that shows how many granola bars Andrew brought.
13+b
13b
b÷13
13÷b
Answer:
13b
Step-by-step explanation:
Answer:
The correct Answer is B: 13B
Step-by-step explanation:
Have A Nice Day.
solve problem by dividing 39÷2886=
Answer:
0.0135
Step-by-step explanation:
3×13÷2×13×37
Determine the perimeter of a rectangle feet
Step-by-step explanation:
2l+2w=perimeter
L is Length
W width
Answer:
24ft
Step-by-step explanation:
it said its right
Identify whether the statement describes inferential statistics or descriptive statistics a) A diet high in fruits and vegetables will lower blood pressure (Source: Institute of Medicine). [ Select ] b) The national average annual medicine expenditure per person is $1052 (Source: The Greensburg Tribune Review). [ Select ] c) There is a relationship between smoking cigarettes and getting emphysema. [ Select ]
help me please i will heart the first correct comment
Which of the following is not represented in the
image below?
8
O Line segment CD
O Line BC
O Ray BC
O Point B
Answer:
Line segment CD and Line BC are not represented.
Step-by-step explanation:
Line segment CD is not represented because a line segment is a portion of a line that has 2 distinct end points.
Line BC is not represented because a line is a straight path that has no beginning nor an end
Ray BC is represented because a ray is a part of a line which has one end point and extends infinitely in one direction.
Point B is represented because we can see a dot at B indicating that B is a point.
The graph represents the average heights of boys in the United States from age two to age ten. A line of best fit has been drawn through the data.
Answer:
there is no question but if its on performance matters, its very close to 1 thats the answer
Step-by-step explanation:
Help me please I give brainliest and be serious
Answer:
15, y = 1/2x + 3.75
Step-by-step explanation:
Am not 100% sure but for #15
cuz I graphed it & it looks alike
15 pt = _______ qt
Group of answer choices
1.30
2.240
3. 15/16
4. 7 1/2
Answer:
4. 7 1/2 is Answer
Step-by-step explanation:
I hope it's helpful!
Juan's car used 12 gallons of gasoline to travel 456 miles. How many miles do I travel for each gallon of gasoline?
Answer:
38 miles per gallon
Step-by-step explanation:
465 miles / 12 gallons
38 miles / gallon
What is 4.6948 in : a. standard form b. corrected to two significant figures c.corrected to two decimal places
A. Standard form because there is only one digit in front of the decimal point.
They are nine red and six Green marbles in a bag Reach in the bag and randomly takes out one mobile what is the probability of the child get an a green marble
Answer:
[tex]P(Green) = \frac{6}{15}[/tex]
Step-by-step explanation:
Given
[tex]Red = 9[/tex]
[tex]Green = 6[/tex]
Required
The probability of selecting green marble
This is calculated as:
[tex]P(Green) = \frac{Green}{Green + Red}[/tex]
[tex]P(Green) = \frac{6}{9+6}[/tex]
[tex]P(Green) = \frac{6}{15}[/tex]
Someone help me ASAP!!!!! No one is helping me I’ve been here for hours
Answer:
149.28 m²
Step-by-step explanation:
Bottom and two sides of the rectangle: 3x4x6=72
Two square ends of the rectangle: 2x4x4=32
Two triangular sides of the prism: 2x1/2x2x6=12
Back of prism: 2x4=8
Top of prism: 4x6.32=25.28
72+32+12+8+25.28=149.28
When attending a movie, patrons are interested in avoiding the pre-movie trivia games, ads, and previews. It is known that the previews begin at the scheduled movie start time and they last between 5 and 15 minutes. Assume that the time of the previews is uniformly distributed. What is the probability that on a given day the previews last between 10 and 12 minutes
Answer:
0.2 = 20% probability that on a given day the previews last between 10 and 12 minutes
Step-by-step explanation:
A distribution is called uniform if each outcome has the same probability of happening.
The uniform distributon has two bounds, a and b, and the probability of finding a value between c and d is given by:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
It is known that the previews begin at the scheduled movie start time and they last between 5 and 15 minutes.
This means that [tex]a = 5, b = 15[/tex]
What is the probability that on a given day the previews last between 10 and 12 minutes?
[tex]P(10 \leq X \leq 12) = \frac{12 - 10}{15 - 5} = \frac{2}{10} = 0.2[/tex]
0.2 = 20% probability that on a given day the previews last between 10 and 12 minutes
Given the function g(x) = x3 – X, what is the value of g (3)?
Enter your answer in the box.
9 (3)
Answer:
Step-by-step explanation:
Simply putting the value of x = 3 in the equation
g(x) = x3 - x
g(3) = (3)3 - (3)
= 27 - 3 = 24
The value of the function will be equal to 24.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
Simply put the value of x = 3 in the equation
g(x) = x³ - x
g(3) = (3)³ - (3)
g(3) = 27 - 3 = 24
Therefore the value of the function will be equal to 24.
To know more about function follow
https://brainly.com/question/25638609
#SPJ2
What is the answer
How do you solve it
Answer:
-50y+(-80)
Step-by-step explanation:
The sale at Publix states that you'll get a 22% discount when you buy a cooking pot for $25. How much did you save?
Answer:
im think it would be $5.50
Solve the inequality X+1>4. Then graph the solutions,
What are the solutions?
Answer:
x>3
Step-by-step explanation:
Answer:
C. x>3 is the answer I believe
find the next three terms in each sequence. then, write the rule for finding the nth terms. 1. 1, 4, 7, 10
I need help with this.
Y=6x -7
Please help I need it by today...
also sorry...
Answer:
Step-by-step explanation:
A \greenD{3\,\text{cm} \times 10\,\text{cm}}3cm×10cmstart color #1fab54, 3, start text, c, m, end text, times, 10, start text, c, m, end text, end color #1fab54 rectangle sits inside a circle with radius of \blueD{12\,\text{cm}}12cmstart color #11accd, 12, start text, c, m, end text, end color #11accd.
What is the area of the shaded region?
Round your final answer to the nearest hundredth.
Cei asked 80 people which mode of transport they used to get into town, out of
car, bus and bicycle.
24 of the people were male.
11 of these males used a bicycle to get into town.
16 females used the bus to get into town.
17 out of the 28 people who used a car were female.
Work out the number of people who used the bus to get into town.
Answer: Total number person using bus = 16 + 2 = 18
Hence, Total number person using bus to get to town is 18 .
Step-by-step explanation:
Given :
Total number of people = 80
Total number of male = 24
Number of male who use bicycle = 11
Number of female who use bus = 16
Number of people use car = 28
Number of female who use car = 17 out of 28
To find :
The number of people use bus to get to town
Solution :
Number of female who use bus = 16 ..........1
Number of female who use car = 17
Number of female use bicycle =
Number of male uses bicycle = 11
As Total number of male = 24
So, rest of male use either bus or car = 24 - 11 = 13
Since
number of people use car = 28
And number of female use car = 17
So, Number of male use car = 28 - 17 = 11
Again
As 11 male using car, so from 13 male using either car or bus
Number of male using bus = 13 - 11 = 2
Answer: Hello: ) ✨Total number person using bus = 16 + 2 = 18
Hence, Total number person using bus to get to town is 18 .
Step-by-step explanation:
Given :
Total number of people = 80
Total number of male = 24
Number of male who use bicycle = 11
Number of female who use bus = 16
Number of people use car = 28
Number of female who use car = 17 out of 28
To find :
The number of people use bus to get to town
Solution :
Number of female who use bus = 16 ..........1
Number of female who use car = 17
Number of female use bicycle =
Number of male uses bicycle = 11
As Total number of male = 24
So, rest of male use either bus or car = 24 - 11 = 13
Since
number of people use car = 28
And number of female use car = 1
So, Number of male use car = 28 - 17 = 1
Again
As 11 male using car, so from 13 male using either car or bus
Number of male using bus = 13 - 11 = 2
Enter the equation of the line in the form y=mx+b where m is the slope and b is the y-intercept.
Answer:
y=3/1+-2
Step-by-step explanation:
What is the product of StartFraction 5 Over 11 EndFraction and Three-fourths?
StartFraction 8 Over 44 EndFraction
StartFraction 15 Over 44 EndFraction
StartFraction 8 Over 15 EndFraction
StartFraction 20 Over 33 EndFraction
Answer:
5/11 x 3/4 is 15/44
Step-by-step explanation:
You're welcome :)
Answer:
B
Step-by-step explanation:
|x+3 , if x = 2. Plz help I will pick brainlist
Answer:
1(2)+3=5
Step-by-step explanation: