Answer:
Sarah bough 3 Angelfish and 5 Bloodfin Tetra
Step-by-step explanation:
Let a be the number of Angelfish fish and
b be the number of Bloodfin fish
Then according to the given statements
we get the following equations
[tex]a+b = 8\ \ \ Eqn\ 1\\4.75a+1.50b=21.75\ \ \ Eqn\ 2[/tex]
From Equation 1
[tex]a = 8-b[/tex]
Putting in equation 2
[tex]4.75(8-b)+1.50b = 21.75\\38-4.75b+1.50b = 21.75\\38-3.25b = 21.75\\-3.25b = 21.75-38\\-3.25b = -16.25\\\frac{-3.25b}{-3.25} = \frac{-16.25}{-3.25}\\b = 5[/tex]
Putting b=5 in equation 1
[tex]a+5 = 8\\a = 8-5 = 3[/tex]
Hence,
Sarah bough 3 Angelfish and 5 Bloodfin Tetra
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
I need that big brain help pls
Answer:
The answer to question is the second one (RSW)
Hope this helps! (if you need an explanation, just ask!) :)
I’m in a test pls help
Use inductive reasoning to write the next two terms in each sequence of numbers.
B.) 720, 180, 360, 90, _____, _____ .
Answer: 180, 45
Step-by-step explanation:
First, you look at the patterns for each numbers, so you can apply the rules for the next two sequences
720 divided by 180 = 4
360 divided by 180 = 2
360 divided by 90 = 4
for the next sequences, you multiply the last number by 2 (90 x 2 =180)
then divide the answer by 4 to get the answer (180 divided by 4 = 45)
so the next two numbers are 180, 45
Mark me as the brainiest answer
Use the law of exponents to rewrite (4x2)^9
12. DEDUCE The graph of a linear
equation is in the form y = mx + b.
Are there any values of m that would
result in the graph not representing
a function? Explain your ans
answer.
Please help it’s due today I will mark you brainless
Answer:
en contexto, ora al de arriba pa que te ayude porque nose nada xd
Step-by-step explanation:
The figures below are similar. Find the length of the missing side.
14
10
56
40
14
х
56
Answer:
12
Step-by-step explanation:
Everything is multiplied by 4
Write a factored equation that has the solutions x=6 and x=-1
Answer:
y = (x - 6)(x + 1)
Step-by-step explanation:
Use factored form, y = a(x - r1)(x - r2), where r1 and r2 are roots.
Since the solutions are 6 and -1, plug in these numbers:
y = (x - 6)(x + 1)
So, the factored equation is y = (x - 6)(x + 1)
Answer: (x-6)(x+1)
Step-by-step explanation:
y + 2x = −1
3y − x = 4
Answer:
Step-by-step explanation:
Let's solve for x.
y+2x=−1
Step 1: Add -y to both sides.
2x+y+−y=−1+−y
2x=−y−1
Step 2: Divide both sides by 2.
2x
2
=
−y−1
2
x=
−1
2
y+
−1
2
Answer:
x=
−1
2
y+
−1
2
Answer:
Answers below
Step-by-step explanation:
Q1. 2x=−1−y
=
2
−1−y
Q2. −x=4−3y
x=−4+3y
x=3y−4
distribute -3(9x^2+10x)
Answer:
-27x^2-30x hoped that helped
PLEASE HELP ILL GIVE YOU BRAINLIEST!!!!!
Step-by-step explanation:
Jeremiah solved equation by multiplicative inverse.
Therefore,
Option D is correct ✔
And
Kelly solved equation by Additive inverse.
Therefore,
Option B is correct ✔
BRAINIEST, THANKS, AND 5 STAR RATING what is the equation of the line in slope intercept form?
Answer:
y = -300x
Step-by-step explanation:
The y-intercept passes through 0, in this case, we don't have to include the y intercept to the equation. The slope is -300, or vertical/horizontal (rise/run, the formula for finding slope <<) We just include the slope if there is no y intercept. So, y = -300x is the equation!
Which weighs more a 20 pound turkey or 320 ounces of turkey stuffing? How do you know?
Answer:
They are equal
Step-by-step explanation:
320 oz is 20 pounds:))
Find the remaining zeros of f using the given information about the polynomial.
Then write the linear factorization of the polynomial. Degree 4;
zeros: 3i, square root {7}
Answer:
noloce necesito puntos
0.571428
is or is not the decimal equivalent of
4
7
. Write your answer in the space provided.
Answer:
4 ÷ 7 = 0.571428
Step-by-step explanation:
4 ÷ 7 = 0.571428
The equations of four lines are given. Identify which lines are parallel.
Line 1: y= 2 - 6
Line 2: 3 - 2y = -1
Line 3: y = 4x + 6
Line 4: y+3= 1 (2-6)
Answer:
lines 1 and 4
Step-by-step explanation:
they are both horizontal lines because when solved equal a number without an x so they is no slope so they are horizontal and have the same slope which means they are parallel to each other
what is the answer to 805÷24 plz tell me
Answer:
33.5416666667
Step-by-step explanation:
805/24 math problems division = 33.5416666667. Therefore 33.5416666667 to 2 decimal places= 33.54
805/24 divided by 2 » (805/24) ÷ 2 » 33.5416666667 ÷ 2 = 16.7708333333 . Check 805/24 long division below
Pencils cost 25 cents apiece. Rulers cost 80 cents
apiece. Susan spent $20 for a total of 36 rulers and
pencils. How many pencils did she buy?
Answer:
She bought 16 pencils
Which of the following shows 7.538 correctly rounded to the ones place?
8.038
8
7
7.5
Rectangle ABCD is shown on the grid. What is the area of rectangle ABCD in square units? square units square units 17 square units 34 square units
Answer:
34sq. units
Step-by-step explanation:
The area of the rectangle shown is expressed as;
A = length *width
The length = AD = BC
Width = AB = CD
From the diagram, we will look for AD and AB using the formula for calculating distance between two points;
D = √(x2-x1)²+(y2-y1)²
For AB where A(-1,4) and B(3,3)
AB = √(3-(-1))²+(3-4)²
AB = √(4)²+(-1)²
AB =√16+1
AB = √17
For AD where A(-1,4) and D(-3,-4)
AD = √(-3-(-1))²+(-4-4)²
AD = √(-2)²+(-8)²
AD =√4+64
AD = √68
Hence area of the rectangle = √17*√68
Hence area of the rectangle = √1156
Hence area of the rectangle = 34
Hence area of the rectangle ≈ 34sq. units
Answer:
D.
Step-by-step explanation:
I NEED THE ANSWER NOW
The cost of planting a garden can be calculated by using the linear function 100=5v+4h, where v represents the number of vegetables and h represents the number of herbs. If the gardener chooses 5 herbs how many vegetables can they choose?
Answer:
Step-by-step explanation:
v
=
−
4
h
5
+
20
is this right babes xoxo
Answer:
Step-by-step explanation:
d: 24 + 5√ 30/6, 24 − 5√ 30/6
6x (x - 8) - 29 =
−3x=2
2cos(x)−√3=0
2sin2(x)−sin(x)=0
To include the personal assets and transactions of a business's owner in the records and reports of the business would be in conflict with the
Answer:
Khgiqjdbdnekjfjwjehsio
I think of a number i halve it then subtract four
Answer:
x/2-4
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
this question is not very detailed but I think ik what u mean. take a number, 8 for example. halve it, (divide by 2) and then subtract 4 & u are left with 0
Find the slope of the line between the points (-2, 7) and (10, 3)
Answer:
m = -1/3
Step-by-step explanation:
Jennifer has already driven 160 miles on her trip to her grandparents house for every hour she travels she drives an additional 55 miles which equation represents the relationship between the Total miles driven y,and the number of hours ,x.
Answer:
y = 55x + 160
Step-by-step explanation:
The computation of the equation that represents the relationship between the total miles driven y and the number of hours x is shown below:
she starts at 160 miles so it would be y-intercept
So the equation form would be
"b" in y = mx + b
where,
m = 55
and b = 160
Therefore the equation would be
y = 55x + 160
The same is to be considered
please answer quick and no the answer isn’t 15
Answer:
107
Step-by-step explanation:
The two angles would make a linear pair, which means they're supplementary to each other. Supplementary angles add up to 180.
This allows us to do 180 - 73 = 107
x would be 107.
Help please uh thanks
The perimeter of the patio is 32 metres. The garden itself is a square shape.
What is the total area of the garden and the patio?
Answer:
64
Explanation:
If the garden is a square shape then all sides are equal.
One and all sides are 8 meters.
8 times 8 is 64
told u aint doing my work help
Answer:
A: 50:100
Step-by-step explanation:
The ratio 5:10 is the ratio of caramels to fruit creams. This ratio is equivalent to 50:100.