You know that the popcorn cost $5.00 so the drinks would cost $2.50 each. So when you plot the points you would reach $10.00 for popcorn and have $5.00 for drinks. $15.00 for popcorn and $7.50 for drinks.
Step-by-step explanation:
Judy has $30 to spend.
The price per bag of popcorn is $5.
The price per drink is $2.50.
is your equation
The birth weights of newborn babies in the United States follow a normal distribution with a mean of 3.4 kg and a standard deviation of 0.6 kg. Researchers interested in studying how children gain weight decide to take random samples of 100 newborn babies and calculate the sample mean birth weight for each sample. Calculate the mean and standard deviation of the sampling distribution
Answer:
3.4 kg
0.06 kg
Step-by-step explanation:
Given that:
Birthweight follows a normal distribution :
Mean weighf (m) = 3.4 kg
Standard deviation (σ) = 0.6 kg
Sample size (n) = 100 new born babies
calculate the sample mean birth weight for each sample. Calculate the mean and standard deviation of the sampling distribution
The sample mean birth weight = population mean birth weight for a normal distribution according to the central Limit theorem.
Hence, sample mean birth weight = 3.4kg
Standard deviation of sampling distribution = standard error = σ/√n
0.6 / √100
= 0.6 / 10
= 0.06 kg
Using the Central Limit Theorem, it is found that:
The mean is of 3.4 kg.The standard deviation is of 0.06 kg.Central Limit Theorem The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex]. For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.In this problem:
Mean of 3.4 kg, hence [tex]\mu = 3.4[/tex].Standard deviation of 0.6 kg, hence [tex]\sigma = 0.6[/tex].Samples of 100, hence [tex]n = 100, s = \frac{0.6}{\sqrt{100}} = 0.06[/tex]Hence, the mean of the sampling distribution is of 3.4 kg and the standard deviation is of 0.06 kg.
To learn more about the Central Limit Theorem, you can take a look at https://brainly.com/question/24663213
Which graph shows a function with a zero of –5?
Answer:
Look for the y-intercept where the graph crosses the y-axis. Look for the x-intercept where the graph crosses the x-axis. Look for the zeros of the linear function where the y-value is zero.
Step-by-step explanation:
NEED HELP ASAP
Given: (DE) is a midsegment of triangle ABC.
Find the value of x and y.
What is the length of (AC)?
Answer:
X=13. y=5 AC=20
Step-by-step explanation:
To do this we first have to find the value of x... giving the fact that DE is a mid segment, We know that the length of BC is double the length of DE this means that the length of BC equals 16. So, to equal 16 x will have to equal 13 so 13 + 3 = 16. Now we will find the value of y. We do this by looking at the length of ae and ec. AE equals EC so now that we know x equals 13 we can do 13 minus 3 equals 10 for AE. since EC has to equal 10 we can do 10 minus 5 which equals 5. We now know that y equals 5. We can now add this all up to find the length of AC. We would do 10 + 10 = 20. Hope this helps!
The length of AC from the diagram is 25
To get the value of x and y, we will use the similarity theorem of a triangle
BC = 2DE
x + 3 = 2(8)
x + 3 = 16
x = 16 - 3
x = 13
Hence BC = 16
From the given figure;
AE/DE = AC/BC
x-3/8 = (x-3+y+5)/x+3
10/8 = 15+y/13
130 = 8(15+y)
130 = 120 + y
y = 10
Get the length of AC
AC = 13-3+10+5
AC = 25
Hence the length of AC from the diagram is 25
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Can somebody help me with this. Will mark brainliest!
Answer:
The length of FG is 2.
Step-by-step explanation: B and F are the same point, just reflected, so BC=FG.
Diego is thinking of two positive numbers. He says, "If we triple the first number and double the second number, the sum is 34." a. Write an equation that represents this clue. Then, find two possible pairs of numbers Diego could be thinking of. b. Diego then says, "If we take half of the first number and double the second, the sum is 14." Write an equation that could represent this description. c. What is Diego's two numbers? Explain or show how you know. A coordinate plane is given here, in case helpful.
Answer:
x = 8
y = 5
Step-by-step explanation:
Let
x and y = the two positive numbers
a. 3x + 2y = 34 (1)
b. 1/2x + 2y = 14 (2)
Solve the simultaneous equation
3x + 2y = 34 (1)
1/2x + 2y = 14 (2)
Subtract (2) from (1)
3x - 1/2x = 34 - 14
6x-x/2 = 20
5/2x = 20
x = 20 ÷ 5/2
= 20 × 2/5
= 40/5
= 8
x = 8
Substitute x = 8 into (1)
3x + 2y = 34 (1)
3(8) + 2y = 34
24 + 2y = 34
2y = 34 - 24
2y = 10
y = 10 / 2
= 5
y = 5
Diego's two numbers are 8 and 5 respectively
Mai uses Triangle A and says the slope of this line is `\frac{6}{4}.` Elena uses Triangle B and says no, the slope of this line is `1.5.` Do you agree with either of them? Explain.
Answer:
I agree with both of them because they are both correct
Step-by-step explanation:
See attachment for complete question;
Slope (m) is calculated using the following formula:
[tex]m = \frac{Rise}{Run}[/tex]
Where
[tex]Rise = Vertical\ Distance[/tex]
[tex]Run = Horizontal\ Distance[/tex]
From the attachment, we have the following:
Triangle A
[tex]Rise = 6\ units[/tex]
[tex]Run = 4\ units[/tex]
So:
[tex]m = \frac{Rise}{Run}[/tex]
[tex]m = \frac{6}{4}[/tex]
In this case, Mai is correct:
Triangle B
[tex]Rise = 1.5\ units[/tex]
[tex]Run = 1\ units[/tex]
So:
[tex]m = \frac{Rise}{Run}[/tex]
[tex]m = \frac{1.5}{1}[/tex]
[tex]m = 1.5[/tex]
In this case, Elena is also correct:
Which of the following expressions is equal to (2g)5?
10 · g · g · g · g · g
2g · 2g · 2g · 2g · 2g
2 · g · g · g · g · g
10g
Answer:
The answer is choice b.
Step-by-step explanation:
I took a quiz with the exact same question on it. hopefully I'm not too late ! <3
The expression is;
⇒ 2g * 2g * 2g * 2g * 2g
Option 2 is true.
Given that;
The expression is;
⇒ (2g)⁵
We have to find the equivalent expression.
What is Powers of a number?
The powers of a number is express how many time the numbers are repeated.
The expression is;
⇒ (2g)⁵
Since, The power of 2g is five.
Hence, It can be repeat five times as,
(2g)⁵ = 2g * 2g * 2g * 2g * 2g
Hence, The equivalent expression is;
⇒ 2g * 2g * 2g * 2g * 2g
Option 2 is true.
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CAN SOMEONE HELP ME
f(g(4)) and the g(f(3)) for the following problem:
f(x) = 2x+3 and g(x) = x-3/2
First do the inside function then use the answer for the outer function
what is the density of 9 cm³ gold cube with 450 g in a mass?
Answer:
Answer is 50g/cm^3
Step-by-step explanation:
soln,
Volume of the gold cube = 9 cm^3
Mass of the gold cube = 450 g
now,
density= mass/volume
=450 / 9
=50 g/cm^3
{Therefore, the density of the gold cube is 50 g/cm^3.}
Student Council is sponsoring the next school dance. They plan to order 2 cheese pizzas for every 3 pepperoni pizzas they order. How many total pizzas will they order if they plan to order 36 pepperoni pizzas for the dance?
Answer: 60 pizzas
Step-by-step explanation:
From the question, we are informed that the student council plan to order 2 cheese pizzas for every 3 pepperoni pizzas they order.
Since 36 pepperoni pizzas are ordered for the dance, the number of cheese pizzas ordered will be:
= 36 × 2/3
= 24 cheese pizzas
The total pizza ordered will now be:
= Cheese pizzas + Pepperoni pizzas
= 24 + 36
= 60 pizzas
Answer:
60
Step-by-step explanation:
60 trust me
Solve x-4<3 graph the solution
Answer:
x<7
Step-by-step explanation:
move coefficeint and put it on inequality graph
Answer:
it should have an open circle on 7 and an arrow going to the left
Step-by-step explanation:
hope this helps
please help i'll give brainist!
How many tickets were sold in 8 hours?
Hours Tickets
(h)
Sold (1)
3.
240
5
400
9
720
Answer:
560
Step-by-step explanation:
1=160
2=320
3=480
4=640
5=800
6=960
7=1120
8=1280
9=1440
JUST ADD 160 EACH TIME
hope this is what your looking for :)
simplify the expression: 8x + 13 - 3x + 9=
Answer:
5x + 22=
Step-by-step explanation:
8x+13-3x+9
Combine like terms.
8x-3x=5x
13+9=22
Piece it back together.
5x+22
And there you have it. Hope it helps! :3
You are allowed to eat at most 12 pieces of candy. You have already eaten 2. Write an inequality and solve to find how many more piece of candy you can eat.
Answer:
One of the below.
Step-by-step explanation:
12-2=10 2+x=12
Bella is working on the world record for longest beaded necklace. She has 10,000 glass beads that have a diameter of 0.4 cm. If she strings these beads end to end, how long will her necklace be.
Answer:
The necklace will be 4,000 cm long
Step-by-step explanation:
Here we want to calculate the length of the necklace
Mathematically, that would just be the product of the beads and the diameter of each bead
Hence, we have
10,000 * 0.4 = 4,000 cm
Terry increased the size of his rectangular garden this summer. He increased to length by 50% and the width by 20% by what percentage has his garden changed with these changes?
Given :
Terry increased the size of his rectangular garden this summer. He increased to length by 50% and the width by 20%.
To Find :
By what percentage has his garden changed with these changes.
Solution :
Let, initial length and breadth is x and y.
So, initial area = xy .
Size after increasing them :
y' = y + 0.50y
y' = 1.5y
x' = x + 0.2x
x' = 1.2x
Final area = (1.5y)(1.2x) = 1.8xy
So, percentage increase is :
[tex]= \dfrac{new-original}{original }\times 100\%\\\\= \dfrac{1.8xy -xy}{xy }\times 100\\\\=80 \%[/tex]
Therefore, percentage increase in are is 80%.
Hence, this is the required solution.
World's Finest Coffee (Decaf) is sold by the case where one case contains 48 6-ounce packages. A restaurant uses 36 pounds of this coffee each month. How many cases must be ordered per month?
Answer:
The number of cases to be purchased is 2.
Step-by-step explanation:
Giving the following information:
World's Finest Coffee (Decaf) is sold by the case where one case contains 48 6-ounce packages.
First, we need to calculate how many pounds are in each case.
1 pound = 16 ounces
1 case= (48*6)/16
1 case= 18 pounds
Now, the number of cases required each month:
36 pounds = 18*x
x= number of cases
x= 36/18
x= 2
The number of cases to be purchased is 2.
12. Phillip deposited $450 in an account that earns
5% interest, compounded yearly. If he makes
no further deposits, how much will be in the
account after 2 years?
A. $472.50
B. $491.14
C. $496.13
D. $512.24
Answer:
b
Step-by-step explanation:
At the beginning of a snowstorm, Madeline had 11 inches of snow on her lawn. The snow then began to fall at a constant rate of 0.5 inches per hour. Assuming no snow was melting, how much snow would Madeline have on her lawn 5 hours after the snow began to fall? How much snow would Madeline have on her lawn after tt hours of snow falling?
Given f(x) = 4x-6 and g(x) = f(2x) what is an equation for the function g?
a) g(x) = 2(4x-6)
b) g(x) = 4x-12
c) g(x) = 8x-6
d) g(x) = 2(4x-6)-6
Answer: g(x) = f(2x) = 4(2x)-6= 8x-6 => c
Step-by-step explanation:
PLEASE I BEG YOU JUST EXPLAIN HOW TO GET THE ANSWER ALL YOU HAVE TO DO IS EXPLAIN
Answer:
yo mamma
Step-by-step explanation:
get noob
answer:
4.5 tsp
explanation:
ok so 10 raspberry muffins need 1 1/4 tsp of baking powder so we can represent it like this:
10:1 1/4
then it asks how many tsp of baking powder is needed to make 3 dozens or 36 muffins
the amount of baking powder=x
so,
10:1 1/4=36:x
then you cross multiply,
10x=1 1/4*36
10x=45
x=4.5
5) Which is the better deal for mechanical
pencils?
(Hint: better deal means CHEAPER!)
Target: 4 pencils for $1.25
Staples: 25 pencils for $5.69
Answer:
Staples
Step-by-step explanation:
5.69/25<1.25/4
Answer:
Target
Step-by-step explanation:
Buying let's say you buy 4 packs close to the amount of Staples you'd get 16 pencils.
(ps sorry if I'm wrong lol)
Terry bought 2 1/2 dozen chocolate chip cookies. She paid $15 for her purchase. If there are 12 cookies in each dozen, what is the cost per cookie?
Answer:
you have to divide 12 by 15
Step-by-step explanation:
Plssss helpppp ASAPP
will mark BRAINLIEST!!!
Answer:
4th and 5th option
Step-by-step explanation:
you can easily add eqn 1 and 2 to get rid of the y term for 4th option and get rid of x term by addition as well for the 5th option
this is a topic on simultaneous equation. If you wish to explore more into this topic you can give me a follow on Instagram (learntionary) I'll be posting the notes for this topic and some other tips :)
Answer:
the last two
Step-by-step explanation:
Give the formula for finding the 'nth term' for this specific arithmetic sequence: 5, 8, 11, 14... (Be sure to fill in numbers for A(1) and d)
9514 1404 393
Answer:
A(n) = 5 +3(n -1)
Step-by-step explanation:
The first term is ...
A(1) = 5
The common difference is ...
d = 8 - 5 = 3
Then the desired formula is ...
A(n) = A(1) +d(n -1)
A(n) = 5 +3(n -1)
Select the word or number that correctly completes each sentence.
When simplified completely, the product of a monomial and a monomial is
a monomial.
When simplified completely, the product of a monomial and a binomial is
a trinomial.
When simplified completely, the product of a binomial and a binomial is
a monomial.
Before being simplified completely, the product of a binomial and a trinomial has
terms.
what is the answer to the questions?
1. always
2. never
3. never
4. 6
When simplified completely, the product of a monomial and a monomial will be a monomial. Then the correct option is A.
What is a polynomial?A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.
Let's check all the options, then we have
A. When simplified completely, the product of a monomial and a monomial is a monomial.
⇒ a × b
⇒ ab
B. When simplified completely, the product of a monomial and a binomial is a trinomial.
⇒ (a)(b + c)
⇒ ab + ac
C. When simplified completely, the product of a binomial and a binomial is a monomial.
⇒ (a + b)(c + d)
⇒ ac + ad + bc + bd
D. Before being simplified completely, the product of a binomial and a trinomial has terms.
⇒ (a + b)(c + d + e)
⇒ ac + ad + ae + bc + bd be
When simplified completely, the product of a monomial and a monomial will be a monomial. Then the correct option is A.
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Hate my teacher for this one smh....
Is there enough information to prove the two triangles congruent? If yes, write the congruence statement and name the postulate you would use. If no, write not possible and tell what other information you would need.
Answer:
Step-by-step explanation:
yes, both are congruent by SAS Postulate
<SQP=<SQR (common in both (construction))
QS=QS (common side in both angle)
QP=QR ( as given)
hence, QPS=QRS
by SAS postulate
By SAS postulate Δ QSP ≅ Δ QSR.
What is Congruence Rule?The triangles are said to be congruent when two angles and a non-included side of one triangle match the corresponding angles and sides of another triangle.
When two angles and the included side of one triangle are equal to two angles and the included side of another triangle, two triangles are said to be congruent.
Given:
In Δ QSP and Δ QSR
<SQP=<SQR (common in both (construction))
QS=QS (common side in both angle)
QP=QR ( as given)
So, by SAS postulate Δ QSP ≅ Δ QSR.
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Here are the last 3 can u help me
Answer:
13. B
14. non-proportional
15. y = 4x+35