Using p-hat formula and probability,
we get
a) Sampling distribution of p-hat = 0.02029286
b)The probability that in a random sample of 500 adults more than 30% do not own a credit card is
=0.3121
c) The probability that in a random sample of 500 adults between 25% and 30% do not own a credit card is 0.6635
We have given that
29% of adults do not own a credit card according to creditcard.com.
a) Sample size (n) = 500 of adults have own credit card
sample proportion, for the adults do not own a credit= 29% = 0.29
Normal distribution exits here with p
= 1-0.29=0.71 and
Standard error (p-hat) =sqrt(p(1-p)/n)
=sqrt(0.71× 0.29/500)
p-hat = 0.02029286
b) Now, more than 30% do not have own credit card.
P(p-hat>0.3) = P((phat- p)/sqrt(p×(1-p)/n) >(0.3-0.29)/sqrt(0.29× (1-0.29)/500))
=P(Z>0.49) =0.3121 (from standard normal table)
c) Sample size (n) = 500 and p-hat lies between 25% to 30% .
P(0.25<phat<0.3)
= P((0.25-0.29)/sqrt(0.29*(1-0.29)/500) <Z< (0.3-0.29)/sqrt(0.29*(1-0.29)/500))
=P(-1.97<Z<0.49)
=0.6635 (from standard normal table)
Hence, we calculated all the required probabilities.
a) p-hat = 0.02029286
b) P(p-hat>0.3) =0.3121
c) P(0.25<phat<0.3) =0.6635
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Complete question:
According to creditcard.com, 29% of adults do not own a credit card.
a. Suppose a random sample of 500 adults is asked, "Do you own a credit card?" Describe the sampling distribution of p-hat, the proportion of adults who own a credit card.
b. What is the probability that in a random sample of 500 adults more than 30% do not own a credit card?
c. What is the probability that in a random sample of 500 adults between 25% and 30% do not own a credit card?
How many rearrangements of abcd are there in which no two adjacent letters are also adjacent letters in the alphabet? For example, no such rearrangements could include either ab or ba.
(A) 0
(B) 1
(C) 2
(D) 3
(E) 4
There are 2 rearrangements of abcd in which no two adjacent letters are also adjacent letters in the alphabet.
What is letter arrangements?
A sorting technique that allows the person to arrange alphabets as conditioned according to the question. Then total arrangements are calculated to know the result.
According to the given question:
Using XXXX as stencil for letters arrangement
We can't put B in either of the middle positions, as there would only be the far end at which to put both A and C and we can't put two things in one slot. That is, XBXX would require A and C to both be in the red X in order to avoid putting them next to B...can't do that, so B can't go in the middle.
Similarly, we can't put C in either of the middle positions, as there would only be the far end at which to put both B and D and we can't put two things in one slot.
So, B and C must go on the ends.
BXXC can only be filled in as BDAC.
CXXB can only be filled in as CADB.
Hence there are 2 such arrangements.
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a local bbq restaurants offers 2 side dishes with a lunch plate. there are 7 side dishes. how many choices of side dishes does a customer have? note: there is no requirement that the customer chooses different side dishes (i.e. he or she can choose say baked beans twice as their side dish).
The number of choice out of 7 that consumer have are 42.
What is permutation?The term permutation alludes to a numerical computation of the quantity of ways a specific set can be sorted out. Set forth plainly, a change is a word that depicts the quantity of ways things can be requested or organized. With stages, the request for the course of action matters.
According to given data:Number of choices of side dishes does a customer have,
total dishes(n)=7 , r = 2
ⁿP₂
⁷P₂
7×6 = 42
Thus required number of ways are 42.
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Which ordered pair is a solution to the system of linear equations 2x 3y equals 6?.
The solution to the system of linear equations is (0,2).
What is equation?
In arithmetic, an equation may be a formula that expresses the equality of 2 expressions, by connecting them with the sign =.
Main body:
2x + 3y = 6 multiplied by 3
-3x + 5y = 10 multiplied by 2
6x + 9y = 18
-6x + 10y = 20
19y = 38
y = 38 / 19
y = 2
2x + 3x2 = 6
2x + 6 = 6
2x = 0
x = 0/2
x = 0
Therefore, The correct answer is (0,2)
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You are viiting Mexico and need to convert your U. S. Dollar to the Mexican Peo. How many Mexican Peo will you have from $350?
In Mexico, 350 dollars would be equivalent to 6769.21 Mexican Pesos.
What is currency conversion?
Currency conversion is the process of exchanging one type of currency for another to facilitate transactions in which the issuer and acquirer use different currencies. Currency conversion usually incurs some additional costs for the customer.
In Mexico, 1 US dollar = 19.34 Mexican Pesos
So In Mexico, $350 = 350 * 19.34
= 6769.21 Mexican Pesos.
Hence, In Mexico, 350 dollars would be equivalent to 6769.21 Mexican Pesos.
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Which factors of 14 are also factors of 28?.
Answer:
1, 2, 7, and 14
Step-by-step explanation:
factors of 14 : 1, 2, 7, and 14
factors of 28 : 1, 2, 4, 7, 14, and 28
so then common factors between 14 and 28 are 1, 2, 7, and 14
In which case can you prove that two triangles are congruent?.
When two sides and sides of one triangle are equal then it can be said that the triangles are congruent.
Here we have to find the case in which it can be proven that two triangles are congruent.
Two triangles are said to be congruent if two angles and the included side of one triangle are equal to two angles and the included side of another side.
One of the simplest ways to prove that triangles are congruent is to prove that all three sides of the triangle are congruent. When all the sides of two triangles are congruent, the angles of those two triangles must also be congruent. This method is called side-side-side( SSS).
Therefore when two angles and their sides are equal then two triangles are said to be congruent.
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I really need help I can't mess this up lol
Answer:
x=111, y=29
Step-by-step explanation:
if the mean of a normal distribution is negative, . a. the standard deviation must also be negative b. the median and mode must also be negative c. the variance must also be negative d. a mistake has been made in the computations, because the mean of a normal distribution cannot be negative
If the mean of a normal distribution is negative then the median and mode must also be negative.
As given in the question,
Mean of the normal distribution is negative,
Variance of normal distribution can not be negative.Standard deviation is positive square root of variance.Mean of a normal distribution is of three type : Negative , zero , positive.Mean ,median and mode all are equal.a. Standard deviation must be negative : False
b. Median and mode must also be negative : true
c. Variance must be negative : false
d. Mistake has been made in the computations , mean of a normal distribution cannot be negative : false
Therefore, for mean of a normal distribution to be negative then median and mode must be negative is the correct option.
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What is 5.37divied by 3 put 5.37 at the top and 3 at the bottom PLEASE I ONLY HAVE 19 MINS TO SUMMIT THIS!!
What is bigger 3/4 cup or 1/2 cup?.
Answer:
[tex]\frac{3} {4}[/tex] cup
Step-by-step explanation:
[tex]\frac{1}{2}[/tex] as a decimal = 0.5
[tex]\frac{3}{4}[/tex] as a decimal = 0.75
A recipe for homemade clay calls for 6 cups of water for every 12 cups of flour. How many cups of water are needed when 4 cups of flour are used?
Answer:
2
Step-by-step explanation:
The original ratio is 6:12
That could be looked at as divided by half. OR, you can look at it as 12/3 is 4
So 4/2 is 2, and for the second method I provided... 6/3 is 2
the cost of a small business is given by the expression 1000 15x, where x is the number of units produced. the business will be profitable whenever its profit y exceeds its cost. if the profit region is shaded in blue, which of the following graphs corresponds to the given situation?
The profit exceeds the cost as y > 1000 + 15x. So, option 1 is correct.
Gaining anything is known as profit. When the Selling price ( SP ) of the product is more than the cost price ( CP ) of the product, we gain profit. Opposite to the profit is loss i.e. losing anything is called loss. When the Selling price ( SP ) of the product is less than the cost price ( CP ) of the product, we get a loss.
Profit can be calculated by the formula,
Profit = Selling Price - Cost price
P = SP - CP
Loss can be calculated by the formula,
Loss = Cost price - Selling price
L = CP - SP
As per the question,
x = number of units producedexpression = 1000 + 15x⇒ When y > 1000 + 15x, then profit exceeds cost:
x = 50 and y = 1750x = 100 and y = 2500x = 150 and y = 3250x = 200 and y = 4000x = 0 and y = 1000Therefore, the graph in the 1st option is correct as the profit exceeds the cost.
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The complete question is
8. A party planner i deigning a conical canva tent for a child' birthday party. The tent ha no floor, and it ha a radiu of 3 ft, and a lant height of 5 ft. If canva ell for $23. 00/yd², how much will the material cot
The material cost will be $361.1
The tent ha no floor, and it ha a radiu of 3 ft, and a slant height of 5 ft. If canva ell for $23. 00/yd²
Then, radius of base = 3
Therefore, area of conical tent =πrl
area of conical tent = 3.14 x 3 x 5
area of conical tent = 47.1
If cost of canvas is $23. 00/yd²
1 yard = 3 feet
Then cost of canvas = (47.1/3) x 23.00
cost of canvas = 361.1
Therefore, the material cost will be $361.1
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I went into a tore with a 70% off ign on the door. I found a pair of pant that were originally $49. 99 for $30. 00 I didn't think thi wa 70% off o I had to make ure. What were the real percentage off?
The real percentage off of pant in the store was 39.99% in the store, which was less than the stated 70% off sign present on the door of store.
The percentage off will be calculated by the formula -
Percentage off = change in cost/original cost × 100
Change in cost = original cost - new cost
Change in cost = 49.99 - 30.
Performing subtraction on Right Hand Side of the equation
Change in cost = 19.99
Keep the values in formula for calculation of percentage off -
Percentage off = 19.99/49.99 × 100
Performing division on Right Hand Side of the equation
Percentage = 0.3999 × 100
Performing multiplication on Right Hand Side of the equation
Percentage = 39.99%
Thus, there was 39.99% off.
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A tool rental company charge $25 for the firt hour of a tractor rental. Each additional hour cot $20 per hour
For the given question
The correct option would be
It is proportional; each x-term is a multiple of the previous term.
Define a multiple.
Manifold is the simplest way to define a multiple. A multiple in mathematics is the outcome of multiplying two numbers together, or multiple is the set of numbers you obtain when you divide a number by an integer.
As an illustration, multiple of 5 include: 10, 15, 20, 25, 30, etc. 14, 21, 28, 35, 42, 49, and so on are all the multiple of 7.
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What is unit digit in the product 784 x 618 x 917 x 463?.
2 is unit digit in the product .
What do Units digits mean?
The digit that goes in the place of one in a number is known as the units digit. It is the number's last digit on the right, for example. For instance, the units digit for 243 is 3 and for 39 it is 9.The Unit Place Digit refers to the digit placed in the one's position of the particular number.unit digit of (784 ×618 × 917 ×463)
unit digit of ( 4 × 8× 7 × 3 )
unit digit of ( 672)
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1 cup of sugar to 2 quarts of water calculate the volume percent of this solution and determine which of your samples is the closest to the concentration of the recommended preparation assume that the weight of the drink mix is 0.0 g the total volume of the solution is 8 and 2/3 cups
The Volume percentage of the solution which is 1 cup of sugar to 2 quarts of water is 15.15%.
⇒The volume percentage of the solution,
= Volume of solute / Volume of Solution × 100% → 1
As per the question,
The volume of the solute = 50 mlThe volume of the solution = 330 mlSubstitute the values in 1,
Volume percentage of the solution = Volume of solute / Volume of
Solution × 100%
= ( 50 / 330 ) × 100
= 0.1515 × 100
Volume percentage of the solution = 15.15%
Therefore, 15.15% is the volume percentage of this solution.
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Tranlate the entence into an equation. Eight time the um of a number and 2 equal 4
Ue the variable x for the unknown number
The sentence translated to an equation is given by 8(x+2) = 4.
Let the variable be x which is the unknown number.
Sum of the variable and 2 is represented by (x+2) .
8 times the sum = 8 (x+2)
The sum is equal to 4.
∴ 8 (x+2) = 4
Therefore the required equation is 8 (x+2) = 4 .
An equation is regarded as linear when its highest power continuously equals 1. It is also stated as a one-degree equation. A linear equation with one variable typically has the form Ax + B = 0.
In this case, the variables x is a variable while the variable B is a constant. A linear equation with two variables often has the form Ax + By = C. The variables x and y, their respective coefficients A and B, and the constant C are present in this scenario.
In contrast to a linear equation with two variables, x and y, the graph of a linear equation with one variable, x, forms a vertical line that is parallel to the y-axis and vice versa.
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select the best choice from among those provided. a. two thousand people are expected to attend the conference, with 965 coming from outside of the united states. b. 2,000 people are expected to attend the conference, with 965 coming from outside of the united states.
The correct choice regarding the grammar illustrated is A. two thousand people are expected to attend the conference, with 965 coming from outside of the United States.
What is grammar?The grammar of a natural language is the set of structural constraints on the composition of clauses, phrases, and words by speakers or writers. The term can also refer to the study of such constraints, which includes domains such as phonology, morphology, and syntax, which are frequently supplemented by phonetics, semantics, and pragmatics.
There are currently two approaches to grammar study: traditional grammar and theoretical grammar. In this case, it should be noted that the fact that 2000 is written in words make it more logical and better.
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There is a set of 14 jobs in the printer queue. Two of the jobs in the queue are called job A and job B. How many different ways are there for the jobs to be ordered in the queue so that job A is first or job B is last or both?
The jobs can be ordered in the queue so that job A is first or job B is last or both, in (2 x 13! - 12!) different ways or 11,975,040,000 different ways.
Factorial is a function to calculate number of ways a number of objects can be arranged.
In the given problem, there is a set of 14 jobs in the printer queue, where two of them called job A and job B.
Case 1: job A is the first in the queue order.
In this case, the position of job A is fixed and there are 13 other jobs can be arranged.
Hence, the number of possible ways of case 1 = 13!
Case 2: job B is the last in the queue order.
Similarly, in this case, the position of job B is fixed and there are 13 other jobs can be arranged.
Hence, the number of possible ways of case 2 = 13!
Case 3: job A is the first in the queue order or job B is the last in the queue order.
In this case, 2 positions are fixed, while the other 12 queue positions need to be arranged.
Hence, the number of possible ways of case 3 = 12!
Notice, that case 3 is a subset of case 1 and case 2. Hence,
total possible ways = possible ways of case 1 + possible ways of case 2 - possible ways of case 3
total possible ways = 13! + 13! - 12!
= 2 x 13! - 12!
= 11,975,040,000
Hence, the jobs can be ordered in (2 x 13! - 12!) ways or 11,975,040,000
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What are the 4 properties of addition?.
The four basic properties of addition are:
Commutative property.
Associative Property.
Distributive Property.
Additive Identity Property.
Commutative Property of AdditionWhen we add two or more numbers, their sum is the same regardless of the order of the addends. We can write this property in the form of A + B = B + A.
Associative Property of AdditionWhen we add three or more numbers, the sum is the same regardless of the grouping of the addends. It also means that when we add three different numbers, the result is not affected by the addition pattern followed.
A +( B+C) = (A + B)+C
Additive Identity Property of AdditionOn adding zero to any number, the sum remains the original number. Adding 0 to a number does not change the value of the number. It is true for natural numbers, whole numbers, fractions, integers, and decimals.
Distributive propertyThe distributive property states that multiplying the sum of two or more addends by a number yields the same outcome as multiplying each addend separately
Hence we get the required answer.
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What is the solution set of the inequality x 2 5?.
The solution set of the inequality |x+2| ≤ 5 is x ∈ [-7,3].
What is inequality?
The word inequality means a mathematical expression in which the sides are not equal to each other.
Basically, an inequality compares any two values and shows that one value is less than, greater than, or equal to the value on the other side of the equation.
What is modulus function?The modulus function, which is also called the absolute value function gives the magnitude or absolute value of a number irrespective of the number being positive or negative.
Modulus function is denoted as y = |x| or f(x) = |x|, where f: R→ (0,∞) and x ∈ R.
Here, we have an inequality |x+2| ≤ 5
Solving the modulus , we get
-5 ≤ x+2 ≤ 5
Subtracting -2 from both sides, we get
⇒ -5-2 ≤ x ≤ 5 -2
⇒ -7 ≤ x ≤ 3
⇒ x ∈ [-7,3]
Therefore, the solution set of the inequality is x ∈ [-7,3].
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NOTE : The question given here is not complete. The complete question is given below.
Question: What is the solution set of the inequality |x+2|≤ 5 ?
Please help this is geometry
Answer:
50
Step-by-step explanation:
Since 45-45-90 tri, x^2+x^2=100^2.
x^2+x^2=10000 so 2x^2=10000 and 2x=100 so x=50
2. b = 4 in, P = 16 in, s = 12, 4 sides (base is a square) What is surface area?
The surface area of the square pyramid with the given dimensions is: 112 in.²
What is the Surface Area of a Square Pyramid?A square pyramid is a shape that has a square base and four triangular sides. A diagram of a square pyramid is shown in the image below.
Surface area of a square pyramid (SA) = base area (A) + perimeter of base (P) × slant height (s) / 2.
We are given the dimensions of a square pyramid as:
Length of a side of the base (b) = 4 in.
Base area (A) = 4² = 16 in.²
Base perimeter (P) = 16 in.
Slant height (s) = 12 in.
Therefore:
Surface area of a square pyramid (SA) = 16 + 16 × 12/2.
SA = 16 + 16 × 6
SA = 112 in.²
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5. Determine which property is demonstrated below:
m/HZN = m/TZY, so m/YZT = m/HZN
transitive property
O subtraction property
addition property
O distribution property
None of these are correct.
4
None of these are correct.
m/HZN = m/TZY, so m/YZT = m/HZN demonstrate commutative property
Why is it called transitive property?The term transitive refers to a transfer. If there are three quantities a, b, and c, and if an is connected to b by some rule and b is related to c by the same method, then a and c are related to each other by the same rule; this property is known as the transitive property of equality.When you multiply a value by a sum, the distributive property of multiplication over addition is used. For instance, suppose you want to multiply 5 by the sum of 10 + 3. When we have similar phrases, we normally sum the numbers and then multiply by 5. However, according to the property, you must first multiply each addend b.To learn more about commutative property refer,
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identify the terms for this arithmetic sequence
The sixth term of the arithmetic sequence 11, 15, 19, 23, 27, ..... will be 31.
What is an arithmetic sequence?Let a₁ be the first term and d be a common difference.
Then the nth term of the arithmetic sequence is given as,
aₙ = a₁ + (n - 1)d
The arithmetic sequence is given below.
11, 15, 19, 23, 27, .....
The first term is 11. And the common difference between the terms is given as,
d = 15 - 11
d = 4
Then the nth term is given as,
aₙ = 11 + (n - 1) × 4
At n = 6, then the 6th term is given as,
a₆ = 11 + (6 - 1) × 4
a₆ = 11 + 5 × 4
a₆ = 11 + 20
a₆ = 31
The sixth term of the arithmetic sequence 11, 15, 19, 23, 27, ..... will be 31.
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Solve the equations. Simplify your answers completely.
A) -1/3p=7
b) 48 = 4/5x
Problem 1:
1) Simplify 1/3p to p/3.
-p/3 = 7
2) Multiply both sides by 3.
-p = 7 x 3
3) Simplify 7 x 3 to 21.
-p = 21
4) Multiply both sides by -1.
p = -21
Problem 2:
1) Simplify 4/5x to 4x/5.
48 = 4x/5
2) Multiply both sides by 5.
48 x 5 = 4x
3) Simplify 48 x 5 to 240.
240 = 4x
4) Divide both sides by 4.
240/4 = x
5) Simplify 240/4 to 60.
60 = x
6) Switch sides.
x = 60
Thanks,
Eddie E.
Answer:
a) p= -21
b) x= 60
Step-by-step explanation:
A) -1/3p=7
/-1/3. /1/3
p=7*3/-1
p= -21
B) 48=4/5x
/4/5. /4/5
48*5/4=x
240/4=x
60=x
Hopes this helps please mark brainliest
Please help me with this!
Answer:
67
Step-by-step explanation:
angle EGF and angle EFH has the same arc EDH, so their angles are also the same
which of the following are exponential functions? select all correct answers. select all that apply: f(x)
The functions that are exponential are f(x) = 4(1/4)ˣ , g(x) = 14(4)ˣ and k(x) = 6(5.49)ˣ , the options that are correct are (a) , (b) and (e) .
In the question ,
five function are given ,
we need to select the functions that are exponential ,
We know that , Exponential function is a function whose value is a constant raised to power of a variable ,
For Example , f(x) = cˣ, where c is any constant value and x is a variable.
Part(a) ,
f(x) = 4(1/4)ˣ
Since , x is in the exponent , hence it is an exponential function .
Part(b) ,
g(x) = 14(4)ˣ
Since , x is in the exponent , hence it is an exponential function .
Part(c) ,
h(x) = 10x⁵
Since , x is present in the base , hence , it is not an exponential function .
Part(d) ,
j(x) = −9x⁴
Since , x is present in the base , hence ,it is not an exponential function .
Part(e) ,
k(x) = 6(5.49)ˣ
Since , x is in the exponent , hence it is an exponential function .
Therefore , The exponential functions are (a) f(x) = 4(1/4)ˣ , (b) g(x) = 14(4)ˣ and (e) k(x) = 6(5.49)ˣ .
The given question is incomplete , the complete question is
which of the following are exponential functions? select all correct answers.
(a) f(x) = 4(1/4)ˣ
(b) g(x) = 14(4)ˣ
(c) h(x) = 10x⁵
(d) j(x) = −9x⁴
(e) k(x) = 6(5.49)ˣ
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Help please I’ll give brainly : )
Answer:
4x-3y=6
because it is a way to write in standard form
Answer:
Option (c)[tex] \frac{4}{5} x + 2y = 6[/tex]
is the correct answer
Step-by-step explanation:
The standard form of a equation is Ax+By=C
Third option satisfy it so option (c)is the correct Answer.
