The probability that the two pets selected are of the same species is 0.2426 .
In the question ,
it is given that ,
the number of puppies in the pet store = 6
the number of kittens in the pet store = 9
the number of lizards in the pet store = 4
the number of snakes in the pet store = 5
total animals = 24
the probability of selecting 2 puppies = ⁶C₂/²⁴C₂
the probability of selecting 2 kittens = ⁹C₂/²⁴C₂
the probability of selecting 2 lizards = ⁴C₂/²⁴C₂
the probability of selecting 2 snakes = ⁵C₂/²⁴C₂
So , the required probability is
= ⁶C₂/²⁴C₂ + ⁹C₂/²⁴C₂ + ⁴C₂/²⁴C₂ + ⁵C₂/²⁴C₂
Simplifying further ,
we get ,
= 5/92 + 3/23 + 1/46 + 5/138
= 0.0543 + 0.1304 + 0.0217 + 0.0362
= 0.2426
Therefore , the required probability is 0.2426 .
The given question is incomplete , the complete question is
The pet store has 6 puppies , 9 kittens , 4 lizards and 5 snakes . if you select two pets from the store randomly, what is the probability that they are both the same species ?
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an experiment involves selecting a random sample of 256 middle managers for study. one item of interest is their annual incomes. the sample mean is computed to be $35,420.00. if the population standard deviation is $2,050.00, what is the standard error of the mean? a) $128.13 b) $138.36 c) $2,050.00 d) $8.01
An experiment involves selecting a random sample of 256 middle managers for study. one item of interest is their annual incomes. the sample mean is computed to be $35,420.00. if the population standard deviation is $2,050.00, the standard error of the mean is $128.125
What is standard error?The population mean's likelihood to differ from a sample mean is indicated by the standard error of the mean, or simply standard error. It reveals how much the sample mean would change if a study were to be repeated with fresh samples drawn from a single population.
How do you calculate standard error?By dividing the standard deviation by the square root of the sample size, the standard error is determined. By taking into account the sample-to-sample variability of the sample means, it provides the precision of a sample mean.
Standard error of the mean = 2050/sqrt {256} = $128.125
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Round 45,621 to each place given below. a. to the nearest ten ___ b. to the nearest hundred ___ c. to the nearest thousand ___ d. to the nearest ten thousand ___
The number on round off to each place will be 45,621.
The decimal number is rounded to any place by the following concept -
We look at the number to the right of concerned digit. If that number is more than five or exactly five, then we add 1 to our number. However, if it is less than five, then the number remains same.
For instance, if we round 45.621 to nearest tenth, we will get 45.6. This is because on right to it, the number 2 is less than 5. Now, in the mentioned digit which is 45,621, we see there is no decimal and number after that. So, as the digits are 0 which is less than 5, the number will remain as it is.
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Find the common Diff/Ratio with missing terms
The common ratio of the sequence which have first term, = 3 and third term = 192 is calculated to be 6
How to find the common ratio of the geometric sequenceThe common ratio of the sequence is calculated by comparing the preceding terms as done below
first term = a = 3
second term = a * r = 3r
third term = second term * r
= a * r * r
= 3r * r
= 3r²
The given data shows that, third term = 192
3r² = 192
divide through by 3
3r² / 3 = 192 / 3
r² = 64
r = √64
r = 8
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please help me :( If you traveled 6,000,000,000 miles into outer space, you would be about one-fourth of the way to Venus. Write this measurement in scientific notation.
A. 6 x 106 miles
B. 60 x 106 miles
C. 6 x 109 miles
D. 60 x 109 miles
The given measurement in scientific notation as [tex]6\times10^9[/tex]. Therefore, option D is the correct answer.
What is scientific notation?Scientific notation is a method for expressing a given quantity as a number having significant digits necessary for a specified degree of accuracy, multiplied by 10 to the appropriate power such as [tex]1.56\times10^7[/tex].
The given distance is 6,000,000,000 miles.
There are 9 zeros in the given number
So, scientific notation is [tex]6\times10^9[/tex]
Therefore, the number in scientific notation is [tex]6\times10^9[/tex].
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The length of each side of a square is with the area of 1600 square inches is increased by 20 inches what is the resulting area
The area of the resulting square is 3600 in²
What is area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
Given that, a square has area 1600 in² whose length has been increased by 20 in each side.
Area of the square = side²
Let the original side length be x, then,
x² = 1600
x = 40 (neglecting -40, because length of anything can not be negative)
After 20 in increase, the side is (40+20) = 60 in
Area of new square = 60x60 = 3600 in²
Hence, The area of the resulting square is 3600 in²
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luianne works as a waitress at a local emerald monday restaurant. her regular hourly wage is $15.50. she regularly works 40 hours per week. what is her regular weekly pay?
Luianne earns $4340 weekly by working as waitress at a local emerald Monday restaurant.
As per the known fact, one week comprises of seven days. Concerning this, the formula to be used for calculation is -
Regular weekly pay = Numbers of hours of work × number of days in a week × pay per hour
Keep the values in formula to find the regular weekly pay
Regular weekly pay = 40 × 7 × 15.50
Performing multiplication on Right Hand Side of the equation
Regular weekly pay = 4340
Hence, she earns $4340 weekly.
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four feet of wire is used to form a square and a circle. how much wire should be used for the square and how much should be used for the circle to enclose the maximum total area
The total maximum area enclosed by both the shapes square and a circle using given wire is equal to 2.27 square feet.
As given in the question,
Let 'x' be the side length of the square
And 'r' be the radius of the circle.
Length of the wire = 4 feet
Maximum side length of the square is:
4x = 4
⇒ x = 1feet
Maximum area of the square = x²
= 1²
= 1
Maximum radius of the circle is:
2πr = 4
⇒ r = 2 / π
Maximum area of the circle = πr²
= π × (2/π)²
= 4 / π
Total maximum area enclosed by square and a circle
= 1 + (4/π)
= 1 + 1.27
= 2.27 square feet.
Therefore, the total maximum area enclosed by square and a circle from the given wire is equal to 2.27 square feet.
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In triangle LMN, m∠L = (6c + 35)°. If the exterior angle to ∠L measures 79°, determine the value of c. c = 24 c = 7 c = 44 c = 11
The value of c, if In triangle LMN, m ∠ L = (6c + 35)°. If the exterior angle to ∠ L measures 79° is 11, so option D is correct.
What is the triangle?Simple polygons with three sides and three internal angles make up triangles. One of the fundamental geometric shapes, it is represented by the symbol and consists of three connected vertices.
Given:
In triangle LMN, m ∠ L = (6c + 35)°
∠ L = 79°
Calculate the angle as shown below,
m ∠ L = 180 - 79
m ∠ L = 101
101 = 6c + 35
6c = 101 - 35
c = 66 / 6
c = 11
Therefore, the value of c, if In triangle LMN, m ∠ L = (6c + 35)°. If the exterior angle to ∠ L measures 79° is 11.
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20x - 4y=11
10x - 2y=6
The given pair of equations has no solution.
Two equations can be solved through three different methods:
Substitution MethodElimination MethodGraphing the equationsLet's use the elimination method in this question
20x - 4y = 11 .....(I)
10x - 2y = 6 .....(II)
Multiply (II) by 2
20x - 4y = 11 .....(I)
20x - 4y = 6 .....(II)
Now, subtracting equations (I) and (II) we will get no solution.
It is possible for the two lines to be parallel and not intersect. In this situation, we cannot identify a shared point between the two, and as a result, the system of the two equations representing the two lines cannot provide a solution!
This question is incomplete. The correct question is
Consider the two equations and solve for x and y.
20x - 4y = 11
10x - 2y = 6
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solve each proportion. if necessary, round to the nearest hundredth
1-12
The proportions in this problem are given as follows:
1. a = 40.
2. t = 1.
3. q = 29.25.
4. g = 3.
5. m = 9.8.
6. v = 12.9.
7. w = 1.3.
8. n = 2.28.
9. n = 0.84.
10. k = 1.2.
11. t = 0.57.
12. z = 63.4.
How to solve the proportions?The proportions are solved using these two steps presented as follows:
Cross multiplication with the equal sign.Isolating the unknown variable.Then, for item a, the proportion is given as follows:
3/8 = 15/a
Applying cross multiplication, we have that:
3a = 15 x 8
Then, the variable a is isolating applying the division operation, as follows:
a = 15 x 8/3
a = 5 x 8 (as 15/3 = 5)
a = 40.
Then the second proportion is solved as follows:
t/2 = 6/12
12t = 12
t = 1.
And the same procedure is then applied to obtain any of the remaining 10 proportions. Some include operations with decimals, hence calculator used is recommended.
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How do you translate "2 more than a number" into a mathematical expression?
"2 more than a number" is equivalent to the mathematical expression X+2.
"2 more than a number" denotes addition because of the word "more." Since we aren't given a definite number, we use a variable in its place (such as x). So, x+2 can be used to represent "2 greater than a number."
An arithmetic value used to indicate an amount is called a number. A number is a mathematical concept that is used for counting, measuring, and labeling. Thus, mathematics is built on numbers. You can think of a number as a count, like when we yell, "3, 2, 1, GO!" during a race, or as a measurement, like John Cena's weight of 275 lbs. There are also decimals like 3.14 and fractions like 22/7.
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50 pts if you answer correctly
STATEMENT REASON
1. 1.
2. 2. 3rd Angle Theorem
4. 4.
G= K (given)
J= M. (given)
HJ= LM (given)
So proved that the GHJ = KLM...
Both the triangle are congruent by AAS(Angle Angle Side) rule...
Please help, giving thanks and brainliest:) (Please give an explanation if possible and please dont give a fake answer)
The value of x in the triangle is 22.
The angles in the triangle are 22, 29 and 127.
What are the values?A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees. A scalene triangle is a triangle that has three different angles.
x + (x + 7) + 127 = 180
In order to determine the value of x, take the following steps:
2x + 134 = 180
2x = 180 - 134
2x = 44
x = 44/2
x = 22
x + 7 = 22 + 7 = 29
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In the figure shown, what is the value of x
The value of x is 1
Given that,
AB=DE
AC=DF
∠CAB=∠FDE
So by the triangle property of SAS, ΔABC and the ΔDEF are equal means ΔABC≅ΔDEF.
And we know that if two triangles are equal then by their properties their respective sides and angles will also be equal to each other.
So we can write that,
⇒13x-12=7x-6
⇒13x-7x=12-6
⇒6x=6
⇒x=1
Therefore the value of x is 1.
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Help meeeeee I don’t knowwwwwwwww
Answer:
# of adult tickets = 10
# of child tickets = 4
Step-by-step explanation:
a = # of adult tickets
c = # of child tickets
a + c = 14
a = 14-c
9a + 5c = 110
9(14-c) + 5c =110
126 - 9c + 5c = 110
-4c = 110-126 = -16
c = -16/-4 = 4
a = 14-4 = 10
The triangle and the square shown have the same perimeter. Solve the equation 3x + 4x + 5x = 4(x + 2) to find the value of x. Then find the length of one side of the square. 3x 5x 4x x+2 x+2
Step-by-step explanation:
3x+4x+5x=4(x+2)
12x=4x+8
12x-4x=8
8x=8
8/8=x
1=x
x=1
now the length of one side of the square,
3x 5x 4x x+2 x+2
3x1=3 5x1=5 4x1=4 1+2=3 1+2=3
3+5+4+3+3=18
the length of one side of the square is 18 cm.
Total aid
(9
10)
In a library, the ratio of students with younger siblings to those without younger
siblings was 4:3, There were 42 students without younger siblings. Let y be the
number of students with younger siblings. Set up a proportion to solve for y. Then,
find the total number of students.
Total number of students is 70.
What do you mean by ratio?
A ratio is a comparison of two quantities. The ratio of a to b can also be expressed as: a:b
A ratio is the equality of two ratios. Write ratios to help you find equivalent ratios and solve for unknown quantities.
Two common types of relationships are part-to-part and part-to-whole.
In a library, the ratio of students with younger siblings to those without younger siblings was 4:3
There were 42 students without younger siblings.
As the given ratio is 4:3
So, let the number of students with younger siblings = 4x
let the number of students without younger siblings = 3x
There were 42 students without younger siblings.
3x = 42
x = 42/3
x = 14
Let y be the number of students with younger siblings
y = 4x = 4(14) = 56
Total students = students with younger siblings + students without younger siblings
= 14 + 56
= 70
Therefore, total number of students is 70.
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The graph of y=h(x)y=h(x)y, equals, h, left parenthesis, x, right parenthesis is a line segment joining the points (-7,-5)(−7,−5)left parenthesis, minus, 7, comma, minus, 5, right parenthesis and (-1,-2)(−1,−2)left parenthesis, minus, 1, comma, minus, 2, right parenthesis.
Drag the endpoints of the segment below to graph y=h^{-1}(x)y=h
−1
(x)y, equals, h, start superscript, minus, 1, end superscript, left parenthesis, x, right parenthesis.
Answer:
(-5, -7) and (-2, -1)
Step-by-step explanation:
The graph of y = h(x) is a line segment joining the points (−7, −5) and (-1, -2). (Blue line on the attached graph).
The graph of the inverse function is a reflection in the line y = x.
Therefore, the endpoints of the inverse function are:
(-5, -7) and (-2, -1)The graph of the inverse function y = h⁻¹(x) is shown in green on the attached graph.
Answer:
(-5, -7) and (-2, -1)
Step-by-step explanation:The graph of y = h(x) is a line segment joining the points (−7, −5) and (-1, -2). (Blue line on the attached graph).The graph of the inverse function is a reflection in the line y = x.Therefore, the endpoints of the inverse function are:(-5, -7) and (-2, -1)The graph of the inverse function y = h⁻¹(x) is shown in green on the attached graph.
Step-by-step explanation:
A mixture of monatomic and diatomic gases has specific-heat ratio gamma = 1.52. What fraction of its molecules are monatomic?
Its molecules' monatomic fraction is 0.444.
Define fractionAn element of a whole is a fraction. The number is represented mathematically as a quotient, where the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator or denominator of a complex fraction. The numerator of a correct fraction is smaller than the denominator.
The fact that
The formula gamma monatomic
Determines the specific heat ratio of monoatomic gas.
5/3=1.67
Calculates the specific heat ratio of a diatomic gas.
Gamma monatomic =7/5=1.4
We have a monoatomic and diatomic gas mixer with a gamma mixer specific heat ratio of 1.52.
Calculating the monoatomic gas fraction is as follows:
Let's assume that "x" is the percentage of monoatomic
1.67* x+1.4* (1-x)=1.52
1.67* x+1.4-1.4* x=1.52
0.27* x=0.12
x = 0.12/0.27
x= 0.444
Its molecules' monatomic fraction is 0.444.
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How do you evaluate 12P7?
The evaluation of 12P7 through permutation is 3991680.
This is a question of permutations . The capital letter P is a symbol for permutations. A permutation is a word that describes the number of ways things can be ordered or arranged. In other words , a permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.
The formula for permutation is P(n,r)=n! (n−r)!
Hence , 12P7 = 12!/(12-7)!
⇒ 12!/5!
⇒ 12×11×10×9×8×7×6×5!/5!
Now , cancelling 5! from both denominator and numerator, we get
⇒ 12×11×10×9×8×7×6
⇒ 3991680
Therefore , the answer is 3991680.
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Solve pls brainliest
Answer:
The correct answers are D and E
Step-by-step explanation:
D is correct because according to exponent rules, you add them when you multiply.
E is correct because the expression will equal 64 when calculated.
Which statements are true for the functions g(x) = x2 and h(x) = –x2 ? Check all that apply.
For any value of x, g(x) will always be greater than h(x).
For any value of x, h(x) will always be greater than g(x).
g(x) > h(x) for x = -1.
g(x) < h(x) for x = 3.
For positive values of x, g(x) > h(x).
For negative values of x, g(x) > h(x).
The statements that are true for functions g(x) = x² and h(x) = -x² are given as follows:
g(x) > h(x) for x = -1.For positive values of x, g(x) > h(x).For negative values of x, g(x) > h(x).What is the relation between the functions?The functions for this problem are defined as follows:
g(x) = x².h(x) = -x².The function h(x) is given by the multiplication of the function g(x) by -1, meaning that it is the reflection over the x-axis of the function g(x).
The two quadratic functions share the same vertex at the origin, meaning that it cannot be affirmed that one function will always be greater than the other for all values of x.
However, considering that the x² function is non-negative in all it's domain, the reflected function -x² will be non-positive at all it's domain, they are equal only at the origin, which is the vertex, all for all remaining non-zero values, g(x) is greater than h(x).
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Average movie prices in the United States are, in general, lower than in other countries. It would cost $78.93 to buy three tickets in Japan plus two tickets in Switzerland. Three tickets in Switzerland plus two tickets in Japan would cost $75.82 How much does an average movie ticket cost in each of these countries?
In Japan, the average cost is $17.61 and in Switzerland, the average cost is $13.55.
What is the equation?An equation is a relationship between two or more variables expressed in equal to form. The equation of two variables look like ax + by=c. It is solved to find the value of variables.
According to the question, the equation are as under:
3x+2y=79.93----------------1
2x+3y=75.87 ----------------2
Multiply equation 1 by 2 and equation 2 by 3 and subtract the result from equation 2 from the result coming from equation 1.
6x+4y=159.86
6x+9y=227.61
Subtracting
6x+4y-6x-9y=159.86-227.61
-5y=-67.75
y=13.55
Put the value of y=13.55 in 3x+2y=79.93
3x+2(13.55)=79.93
3x+27.10=79.93
3x=79.93-27.10
3x=52.83
x=52.83/3
x=17.61
Hence the average cost in Japan is $17.61 and the average cost in Switzerland is $13.55.
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Does the limit of 1/n diverge? I know that the Series of 1/n, diverges because of harmonic series. But if the LIMIT of 1/n converges, please explain why the two are different.
The limit of 1/n does not diverge.The difference of limit of 1/n is explained below.
It converges to 0 as n approaches infinity. The difference between a series and a limit is that a series is the sum of the terms in a sequence, while a limit is a value that a sequence approaches as its terms become increasingly large. In other words, the limit of a sequence is the "endpoint" of the sequence, while the series is the sum of all the terms in the sequence. In the case of 1/n, the series does not converge because the terms gradually increase with no endpoint. However, the limit of 1/n does converge because the terms become progressively smaller and approach 0 as n approaches infinity. Therefore, the limit of 1/n does converge, while the series of 1/n does not.
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60 POINTS ANSWER FOR BRAINLIST AND PROVIDE THE GRATH!! Stewart loves playing Genshin Impact so much that he “forgets” to do his schoolwork. It’s really starting to impact his grades and he has 36 overdue assignments. The semester is almost over, and he really needs to improve his grades. He can realistically complete 4 overdue assignments each day. Draw a graph to represent
this situation.
Answer: He needs 9 days to complete all his overdue assignments and if this is happening to you sry I feel your pain. Just vibing to k-pop while having a mental breakdown doesn't sound bad until you feel it :(
Step-by-step explanation:
Well, he has 36 overdue assignments, and if he completes 4 overdue assignments each day you need 9 days to complete all his overdue assignments.
36 divide 4 = 9 days
Help pleas mor points!
Answer:
Sandwich = 2
Cookie = 1
Step-by-step explanation:
Let
cost of sandwiches = x cost of cookies = yThis would mean :
3x + 2y = 8 and 7x + 2y = 16
Because we have two similar terms in the equations, (2y) we can subtract the two equations from each other cancelling out the terms resulting in us having one term that we can solve for. This is known as the elimination method
7x + 2y = 16
- 3x + 2y = 8
-----------------------
4x + 0y = 8
==> 4x = 8
==> x = 2
We can now plug in the value of x into one of the equations and solve for y
==> 7x + 2y = 16
==> 7(2) + 2y = 16
==> 14 + 2y = 16
==> 2y = 2
==> y = 1
We can conclude that the cost of a sandwich is 2 and the cost of a cookie is 1
25. A bakery made 350 cupcakes. They sold 280 of those cupcakes.
What percentage of the cupcakes did they sell?
A. 20%
B. 70%
C. 80%
D. 125%
Answer:
C. 80%
Step-by-step explanation:
To find the percentage of cupcakes that were sold, you can divide the number of cupcakes sold by the total number of cupcakes and multiply the result by 100%. In this case, the percentage of cupcakes sold is:
280 cupcakes / 350 cupcakes * 100% = 80%
Therefore, the correct answer is C: 80%.
A new bank customer with $3500 wants to open a money market account. The bank is offering a simple interest rate of %1.1
How much interest will the customer earn in 10 years?
The interest that will the customer earn in 10 years is $385.
What is simple interest?
Simple interest is a method for figuring out how much interest was paid on a sum of money during a specific time period at a specific rate.
Simple interest has a constant principal amount. Simple interest is a straightforward and easy technique for calculating interest in money. Interest is always applied to the initial principal amount under the simple interest method, and the rate of interest is the same for each time cycle. When we deposit money in a bank, the bank pays us interest on our investment. Banks charge various sorts of interest, one of which is simple interest.
The customer deposit $3500 when he opens the account.
The interest rate of the bank is 1.1% = 0.011.
He deposits the amount for 10 years.
The formula of simple interest is I = PRT.
I = 3500 × 0.011 × 10
I = 385
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In a park, the number of plants increased by 9% over the previous year. If the number of plants now is 62, 130, how many plants were there in the previous year?
Answer:
55.8,117
Step-by-step explanation:
62 times 0.9 is 55.8
130 times 0.9 is 117
I hope this helps!
what is the probability that in a random sample of size 10, a total of more than 90 pizzas are consumed? (hint: what is the mean number of pizzas consumed by the sample of 10 students?)
The probability that more than 90 pizzas will be devoured in a random sample of 10 people is 85.31%.
Large Population Z-test:A hypothesis test called the Z-test uses the z-statistic, which has means and variance and follows the normal distribution. Whenever the variance is known, the Z-test reveals whether 2 population means are distinct. The Z-test is presented asFor the stated question-
mean μ of 10standard deviation σ of 3random sample of size 's' is 10pizzas are consumed n = 90Estimate the probability for the consumed pizzas.
P(x > 90/10) = P(x = 9)
P(x = 9) = P[x - μ/ σ/√n > z > (9 - 10) / (3/√10)]
P(x = 9) = P(z > -1.05)
P(x = 9) = 1 - P(z > -1.05)
P(x = 9) = 1 - 0.1469
P(x = 9) = 0.8531
Thus, the probability that more than 90 pizzas will be devoured in a random sample of 10 people is 85.31%.
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The complete question is-
The number of pizzas consumed per month by university students is normally distributed with a mean of 10 and a standard deviation of 3.
what is the probability that in a random sample of size 10, a total of more than 90 pizzas are consumed? (hint: what is the mean number of pizzas consumed by the sample of 10 students?)