The sampling distribution of the proportion follows the normal distribution when the values np and nq are greater than or equal to
The sampling distribution of the proportion follows the normal distribution when the values np and nq are greater than or equal to 5.
Explanation:For the sampling distribution of the proportion to follow a normal distribution, the values np and nq must both be greater than or equal to 5.
For example, if you are performing a hypothesis test of a single population proportion, the conditions np >= 5 and nq >= 5 must be met to approximate the binomial distribution by the normal distribution.
Remember that np represents the number of successes in the sample and nq represents the number of failures in the sample.
what values of x make up f(x)=3x+1 equal to g(x)=3^x+1? 0, 1, 2, 3 select all that apply
Let us plug-in the values of x to know
> x = 0
f(0) = 3(0) + 1 = 1
g(0) = 3^0 + 1 = 2
> x = 1
f(1) = 3(1) + 1 = 4
g(1) = 3^1 + 1 = 4
> x = 2
f(2) = 3(2) + 1 = 7
g(2) = 3^2 + 1 = 10
> x = 3
f(3) = 3(3) + 1 = 10
g(2) = 3^3 + 1 = 28
Therefore the only answer is:
1
kwei-twang kuo plans to make these online payments: store charge account $160; charitable donation, $40; rent $550; cable bill, $42.01. She began the day with a checking account balance of $16.83. Later that same day she estimated her online payments and transferred $800 into checking from savings to cover the expected payments. What will be the balance of her checking account after the online payments are made?
Final answer:
After making her online payments totaling $792.01, Kwei-Twang Kuo will have a balance of $24.82 in her checking account.
Explanation:
First, we'll calculate the total payments Kwei-Twang Kuo needs to make by adding up all of her expenses:
Store charge account: $160
Charitable donation: $40
Rent: $550
Cable bill: $42.01
Adding these amounts together gives us a total of $792.01 for the payments.
Let's calculate the balance of her checking account after she transfers $800 and makes the payments:
Begin with checking account balance: $16.83
Transfer into checking account: +$800.00
New balance before payments: $816.83
Total payments to be made: -$792.01
Final checking account balance: $24.82
Therefore, after Kwei-Twang Kuo makes her online payments, she will have a balance of $24.82 in her checking account.
a baseball team has 13 players; how many possible batting orders can the coach make if there are 9 players in the batting lineup ?
A. 514,874
B. 235,368
C. 259,459,200
D. 879,523
Final answer:
The number of possible batting orders a coach can make with 13 players for 9 positions is found by calculating [tex]^{13}P_9[/tex], which equals 518,918,400. Thus, the correct answer is C. 259,459,200.
Explanation:
To determine how many possible batting orders a baseball coach can make with 13 players to fill 9 positions, we use the concept of permutations since the order in which the players are arranged matters. The formula for permutations of n items taken r at a time is [tex]^{n}P_r[/tex] = n! / (n - r)!, where the exclamation point indicates a factorial. In this case, we have 13 players and want to find out the number of ways to arrange 9 of them, so we calculate-
[tex]^{13}P_9[/tex]= 13! / (13 - 9)!.
We can simplify this by calculating the factorials: 13! = 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 and 4! = 4 × 3 × 2 × 1, so [tex]^{13}P_9[/tex] = 13! / 4!.
Instead of multiplying out both factorials completely, we can cancel out the common terms: (13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) / (4 × 3 × 2 × 1) = (13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5) / 1.
Calculating the above gives us 13 × 12 × 11 × 10 × 9 × 8 × 7 × 6 × 5 = 518,918,400 ways to arrange the batting order. Therefore, the correct answer to how many possible batting orders can be made is C. 259,459,200.
What number is 40% of 135?
Enter your answer in the box.
pleaseeeee help!!! what is the constant in the expression [tex]5n- \frac{2m}{7} + \frac{3}{4} [/tex]
a. -2/7
b. 3/4
c. 5
d. 21
Help and get 6 points!
Martin is 6 years younger than his sister. The sum of their ages is no more than 22 years. What is an inequality that can be used to represent this situation where X represents martins sisters age
sisters age = x
martins age = x-6
equation: x +(x-6) <=22
2x -6 <=22
2x<=28
x<= 28/2
x<= 14
is 0.142045454545 a repeating or terminating number??
Mrs. Barlow's math class took a test yesterday. Out of 60 students, 70% of them passed. How many of Mrs. Barlow's students passed the test?
Laura was making a recipe that said the ingredients were for 6 people, but she needed to make it for 8 people. The recipe called for 2 2/3 cups of milk and 1/4 cup of oil. How many cups of liquid ingredients did she need for 8 people?
Laura needs 35/9 cups (approximately 3.89 cups) of liquid ingredients for 8 people.
To find how many cups of liquid ingredients Laura needs for 8 people, follow these steps:
Therefore, Laura needs 35/9 cups (approximately 3.89 cups) of liquid ingredients for 8 people.
Shakira went bowling with her friends. She paid $3 to rent shoes and then $4.75 for each game of bowling. If she spent a total of $42, then how many games did Shakira bowl?
Shakira bowls about 8 games.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
Let Shakira bowl x games.
Since Shakira has to pay $4.75 for each game, she would pay $4.75x for x games.
Shakira also paid $3 to rent shoes, therefore, the total money Shakira spent is:
4.75x + 3
Given that, the total spent is $42, therefore,
4.75x + 3 = 42
4.75x = 42 - 3
4.75x = 39
x = 39/4.75
x ≈ 8
Hence, Shakira bowls about 8 games.
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Your bird feeder holds 3⁄4 quarts of birdseed. Your scoop holds 3⁄8 of a cup. How many scoops of birdseed will fill the feeder?
Answer
It is 2 scoops
Step-by-step explanation:
3⁄8 x 1⁄4 = 3⁄32 quart
3⁄4 ÷ 3⁄32 = 8 scoops
In the figure, sin ∠MQP = ______.
A. Cos N and Sin R
B. Sin R and Sin N
C. Cos N and Sin M
D. Cos R and Sin N
I WILL MARK BRAINLIEST!!!!! 24 POINTS!!!!!
we know that
in the right triangle MNR
[tex]Sin(N\°)=Cos(R\°)[/tex]
[tex]Sin(56\°)=Cos(34\°)[/tex]
Because
[tex]N+R=90\°[/tex]
[tex]56\°+34\°=90\°[/tex] --------> by complementary angles
so
sin ∠MQP=[tex]Sin(56\°)[/tex]
therefore
the answer is the option
D. Cos R and Sin N
What is 1 4/9 of 9000 feet
In the figure, AB¯¯¯¯¯ is parallel to DE¯¯¯¯¯ .
Select from the drop-down menu to correctly complete the statement.
Triangle ABC and triangle DEC are A.Similar B. Nonsimilar
Answer:
(A) Similar triangles
Step-by-step explanation:
It is given that AB is parallel to DE, therefore ∠CAB=∠DEC=65°(Alternate angles),
Then from ΔACB and ΔDCE, we have
∠CAB=∠DEC=65°(Alternate angles)
and ∠ACB=∠DCE=50°(Vertically opposite angles)
Thus, by AA similarity, ΔACB is similar to ΔDCE.
Hence, option A that is similar triangles is correct.
Which equation correctly applies the distributive property A. −2.5⋅(4⋅1.045)=(−2.5⋅4)⋅1.045 B. 50+1.015=(50⋅1)+(50⋅0.01)+(50⋅0.005) C. (0.5⋅0.5)+(0.5⋅0.3)+(0.5⋅0.2)=0.5⋅(0.5+0.3+0.2) D. −1.2⋅0.57⋅0.5=−1.2⋅0.5⋅0.57
By observing the given options we can conclude that equation
C. (0.5⋅0.5) + (0.5⋅0.3) + (0.5⋅0.2) = 0.5⋅(0.5 + 0.3 + 0.2) correctly applies the distributive property.
What are the other properties?The other two properties are commutative property and associative property.
We know the distributive property for four terms states,
a(b ± c± d ± e) = ab ± ac ± ad ± ae.
∴ From observing the given options we can conclude that
0.5⋅(0.5 +0.3 + 0.2) = (0.5⋅0.5) + (0.5⋅0.3 )+ (0.5⋅0.2).
Or
(0.5⋅0.5) + (0.5⋅0.3) + (0.5⋅0.2 ) = 0.5⋅(0.5 + 0.3 + 0.2).
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A classic counting problem is to determine the number of different ways that the letters of "balloon" can be arranged. Find that number.
The number is:
1260
Step-by-step explanation:We know that the number of ways of arranging n items is calculated by the method of permutation.
If n letters are to be arranged such that there are [tex]r_1,r_2[/tex] items each of the same type.
Then, the number of ways of arranging is:
[tex]\dfrac{n!}{r_1!\times r_2!}[/tex]
We are asked to find the number of ways of arranging the letters of "Balloon"
There are a total of 7 words such that 'l' occurs two times and 'o' occurs two times.
Hence, the number of ways of arranging them are:
[tex]=\dfrac{7!}{2!\times 2!}\\\\=\dfrac{7\times 6\times 5\times 4\times 3\times 2!}{2!\times 2}\\\\=1260\ ways[/tex]
Data were collected on monthly sales revenues (in $1000s) and monthly advertising expenditures ($100s) for a sample of drug stores. the regression line relating revenues (y) to advertising expenditure (x) is estimated to be modifyingabove y with caret equals negative 48.3 plus 9.00 xy=−48.3+9.00x. what is the interpretation of the slope?
Answer:
The interpretation of the slope is that for each $1000 you spend, your revenue increases by $900.
Step-by-step explanation:
We have that:
The revenue y is a function of the advertising expediture x, and the relationship is given by the following function:
y = -48.3 + 9x.
However, since y is in thousands and x in hundreds, i am going to rewrite
y = -48.3 + 0.9x
This means that if you spend no money in advertising, you lose -48.3 thousands of dollars. However, for each $1000 you spend, your revenue increases by $900.
So the interpretation of the slope is that for each $1000 you spend, your revenue increases by $900.
what is 1/5 of 80% this is worth 100 points soooo yes
plz solve correctly
The distance between two cities is 145 miles. A truck can cover this distance in 2.5 hours. The speed of a car is 1.5 times faster than the speed of the truck. How long does it take them to meet, if they start moving towards each other simultaneously?
The speed at which the distance is covered by the two vehicles is the sum of their speeds:
... (truck speed) + 1.5×(truck speed) = 2.5×(truck speed)
The time required to cover the distance is inversely proportional to speed, so is
... (2.5 hours)/2.5 = 1.0 hours
It takes 1.0 hours for the vehicles to meet.
_____
The speed of the truck is (145 mi)/(2.5 h) = 58 mi/h
The speed of the car is 1.5 × 58 mi/h = 87 mi/h.
The speed at which they move toward each other is
... 58 mi/h + 87 mi/h = 145 mi/h
So, the time it takes to cover 145 miles is
... (145 mi)/(145 mi/h) = 1.0 h
please help. Wire is 12.5 cents a foot. How many feet can you buy for a dollar?
which group contains numbers that all mostly round most closely to 1/2 A. 1/5 , 2/9 , 4/8 B. 3/5 , 2/4 , 4/6
Answer:
b
Step-by-step explanation:
Solve this quadratic equation using the quadratic formula. 3x2 + 4x = 6
Answer:
x= -2 + and - sqrt 22 /3
Step-by-step explanation:
Line ET is a tangent to circle A at point T and the measure of ∠TNG is 25°
What is the measure of ∠NET?
A) 130°
B) 50°
C) 65°
D) 90°
Estimate 36472-32841
Find the area enclosed by the figure.
Choose the correct simplification of the expression b5 ⋅ b4. b b9 b20 b−1
For this case we have the following expression:
[tex]b ^ 5b ^ 4[/tex]
We must consider the following property of the exponents.
In multiplication, when we have the same base, the exponents are added.Rewriting the given expression we have:
[tex]b ^ 5b ^ 4 = b ^ {(5 + 4)}\\b ^ 5b ^ 4 = b ^ 9[/tex]
Answer:
the correct simplification of the expression is:
[tex]b ^ 5b ^ 4 = b ^ 9[/tex]
A juice company produces 8,064 cartons of juice in 21 days. Each day, they produced the same number of cartons and delivered those cartons to 16 area coffee shops. The cartons were delivered in cases of six cartons per case, and each coffee shop received an equal number of cases in each delivery. How many cases were delivered to each coffee shop each day?
Answer:
[tex]4\ cases[/tex]
Step-by-step explanation:
Step 1
Divide the total cartons of juice that the company produces in [tex]21[/tex] days by the total days
so
[tex]\frac{8,064}{21}\frac{cartons}{days}=384\frac{cartons}{day}[/tex]
Step 2
Divide the total cartons of juice that the company produces in one day by the total coffee shops
so
[tex]\frac{384}{16}\frac{cartons}{coffee-shop}=24\frac{cartons}{coffee-shop}[/tex]
Step 3
Divide the total cartons of juice that the company delivered per day to each coffee shop by six (number of cartons per case)
so
[tex]\frac{24}{6}=4\ cases[/tex]
427 thousand conveted into scientific notation