9514 1404 393
Answer:
25 pounds cashews15 pounds peanutsStep-by-step explanation:
Let c represent the number of pounds of cashews in the mix. Then 40-c is the number of pounds of peanuts. The total cost of the mix is ...
10c +2(40 -c) = 7(40)
8c +80 = 280 . . . . simplify
c +10 = 35 . . . . . . . divide by 8
c = 25 . . . . . . . . . . subtract 10
40-c = 40-25 = 15 . . . . pounds of peanuts
25 pounds of cashews and 15 pounds of peanuts should be used in the mix.
You wonder what is the average number of credits Le Moyne students take per semester. You speak with the Le Moyne registrar, and they tell you that Le Moyne students take an average of 17 credits per semester with a population standard deviation of 2.5 credits. We plan to take a sample of 49 students and ask each student how many credits they plan to take. Assume that the population mean is 17 credits and the populations standard deviation is 2.5 credits. What does the CLT say about the distribution of the sample mean of 49 students
Answer:
The CLT says that the distribution is approximately normal, with mean of 17 credits and standard deviation of 0.3571 credits.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem estabilishes 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.
Assume that the population mean is 17 credits and the populations standard deviation is 2.5 credits.
This means that [tex]\mu = 17, \sigma = 2.5[/tex]
What does the CLT say about the distribution of the sample mean of 49 students?
It is approximately normal.
The mean is 17.
Due to the sample of 49, n = 49, and the standard deviation is [tex]s = \frac{2.5}{\sqrt{49}} = 0.3571[/tex]
The CLT says that the distribution is approximately normal, with mean of 17 credits and standard deviation of 0.3571 credits.
A data set contains the values 1, 2, 5, 5, and 7.
The table shows the distance between each value and the mean of 4.
Data value
Distance between
value and mean
1
3
2
2.
5
1
5
1
7
3
Sum of distances 10
What is the mean absolute deviation (MAD) of the data set?
Answer:
2, The MAD is the MEAN STANDARD DEVIATION meaning it is the average of all the numbers distances away from the MEAN. you just add up all the distances and divide by how many there are.
If I went to the store and purchased a
T-shirt for $10 and jeans for $25, what
was my total expense at the store? Explain
how you got your total.
HELP! what is the unit rate???
Answer: The unit rate of the bananas is 0.33$
Step-by-step explanation:
1.98/6 = 0.33$ . 0.33 x 6 = 1.98$
What is the area of the obtuse triangle given below?
2 9
Answer:
The area is 9 unit squared
Step-by-step explanation:
Given
The right parameters are:
[tex]Base = 2[/tex]
[tex]Height = 9[/tex]
Required
The area of the triangle
This is calculated as:
[tex]Area = 0.5 * Base * Height[/tex]
So, we have:
[tex]Area = 0.5 * 2 * 9[/tex]
[tex]Area = 9[/tex]
Hence, the area is 9 unit squared
Consider the system of linear equations and the matrix equations below.
- X+ 3y = 2
4x - 2y = 22
-1
3
Х
2
4
-2
22
What is the value of x in the equation?
-36
3
7
64
9514 1404 393
Answer:
x = 7
Step-by-step explanation:
Using Cramer's rule, the value of x is ...
[tex]x=\dfrac{\left|\begin{array}{cc}2&3\\22&-2\end{array}\right|}{\left|\begin{array}{cc}-1&3\\4&-2\end{array}\right|}[/tex]
x = ((2)(-2) -(22)(3))/((-1)(-2) -(4)(3)) = (-4-66)/(2-12) = -70/-10
x = 7
A right triangle has a hypotenuse of 18 feet and a side length opposite ∠A of 12 feet. What is the measure of ∠A to the nearest degree?
Answer:
∠A = 42°
Step-by-step explanation:
sin ∠A = 12/18 = 0.6667
∠A = 41.81°
Answer:
42 degrees
Step-by-step explanation:
Suppose a normal distribution has a mean of 34 and a standard deviation of 2. What is the probability that a data value is between 31 and 37? Round your answer to the nearest tenth of a percent.A.86.6%B.88.6%C.87.6%D.85.6%
Answer: it’s 86.6%
Step-by-step explanation:
Construye una fórmula que permita calcular el dinero recaudado en un autobús en función de los billetes vendidos, sabiendo que cada uno cuesta 1,2 euros. Represéntala. ¿Se pueden unir los puntos?
Answer:
1.2X = $
Step-by-step explanation:
Para construir una fórmula que permita calcular el dinero recaudado en un autobús en función de los billetes vendidos, sabiendo que cada uno cuesta 1,2 euros, se debe realizar el siguiente razonamiento lógico matemático:
1.2(variable fija) x X (número de billetes vendidos) = $ (Dinero recaudado)
1.2X = $
Por lo tanto, si por ejemplo se hubiesen vendido 100 billetes, la ecuación operaría de la siguiente manera:
1.2 x 100 = $
120 = $
Is (3,-4) a solution to this system?
Answer:
Bug0
Step-by-step explanation:
tangá Bubv haha yaanka amp
What is the perimeter of this polygon? (Geometry)
Answer:
30 cm
Step-by-step explanation:
Hallar la altura(h) de un triángulo que tiene una base 12 metros y un área de 96
metros cuadrados. Opción única.
(2 puntos)
16
11
15
Answer:
Height of triangle = 16 meter
Step-by-step explanation:
Given:
Area of given triangle = 96 squares meter
Base length of triangle = 12 meter
Find:
Height of triangle
Computation:
Area of triangle = (1/2)(b)(h)
Area of given triangle = (1/2)(Base length of triangle)(Height of triangle)
96 = (1/2)(12)(Height of triangle)
96 = (6)(Height of triangle)
Height of triangle = 96 / 6
Height of triangle = 16 meter
I need answer for this question
Answer:
The answer should be D) 4x^ + x + 3
Raul tossed a coin and spin a spinner with three equal sections. Based upon the results, what is the probability of tossing a tail and spinning a 2?
F. 1/10
G. 1/9
H. 1/8
J. 3/20
The experimental probability of tossing a tail and spinning a 2 is given by: Option H: 1/8
What is experimental probability?Experimental probability calculates the probability of some event from the results of experiments.
For an event E, we get the experimental probability of that event
[tex]P_e(E) = \dfrac{\text{Number of times E occurred}}{\text{Number of times experiments was done}}[/tex]
where, [tex]P_e(E)[/tex] is denoting experimental probability of occurrence of E.
For this case, the table is missing, the results recorded were:
Toss Spin Frequency
Head 1 2
Head 2 6
Head 3 7
Tail 1 7
Tail 2 5
Tail 3 13
That means total number of times experiment was done was: 2+6+7+7+5+13=40
Let we take E = event of tossing a tail and spinning a 2
Thus, from the table, we see that E occurred 5 times.
Thus, based on this, the experimental probability of occurrence of E is:
[tex]P_e(E) = \dfrac{5}{40} = \dfrac{1}{8}[/tex] (option H)
Learn more about probability here:
brainly.com/question/1210781
Pls answer. I will mark brainliest.
Answer:
true
false
true
false
true
false
Step-by-step explanation:
Find the value of x. help please if you understand
What is the area of the parallelogram?
Answer:
im not 100 percent sure but i think its
140 inches squared
Step-by-step explanation:
20 POINTS PLS HALP!!!
Greenland is the least densely populated country in the world, with a population of 57,714 and
an area
of 836,109 square miles. To the nearest hundredth, what is the population density of
Greenland in people per square mile?
Answer:
number of people / land area = population density
57,714 / 836,109 ≈ 0.07 people/[tex]mi^2[/tex]
Answer:
.07 people per square mile
Step-by-step explanation:
We can just divide the people by area
57714/836109=.06902688525 or about .07 people per square mile
I think you got confused about the division and what to divide by what
Look over here we divide the PEOPLE by the AREA so we get the amount of PEOPLE per square mile
If we did it the opposite way we get THE AREA that EACH PERSON HAS
100 POINTS AND BRAINLIEST. PLEASE HELP!!!!!! Ava’s watering can holds 2 liters of water. She uses 200 milliliters to water each of her plants. How many plants can she water if she fills the watering can two times?
Answer:
She can water 20 plants
Step-by-step explanation:
She has a total of 2 liters in each can, and if she uses 2 full cans, she has a total of 4 liters. 4 liters=4000 milliliters.
To find the amount of plants she can water, we need to divide the amount of water she has by how much it takes to water each plant. So,
[tex]\frac{4000}{200}[/tex]
[tex]=\frac{20}{1}[/tex]
[tex]=20[/tex]
So, she can water 20 plants with two full water cans.
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Answer:
20 plants
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
Simplify the expression:
r+r+r+r+r+h
Answer:
r^4+h
Step-by-step explanation:
The amount of interest accrued on
a $7,000 loan with 6% interest after t years.
Answer:
$420t
Step-by-step explanation:
Given data
Principal= $7000
Rate= 6%
Time= t years
The expression for the amount is
Simple interest= PRT/100
Sustitute
Simple interest= 7000*6*t/100
Simple interest= 42000t/100
Simple interest= 420t
Hence the amount after t years is $420t
PLease give me answer ASAP
Answer:
Step-by-step explanation:
Answer:
the answer is get noob..........
What is the slope of the line given by the equation y=-3X?
Answer:
The slope is -3
Step-by-step explanation:
y=mx+b
m=slope
m=-3
slope=-3
hope this helps!
help me i really need the help
Answer:
G: 1 3/4
Step-by-step explanation:
you have to divide, 8 3/4 cups by 5 and you get 1 3/4!
Answer:
G. 1 3/4
Step-by-step explanation:
There are multiple ways you can do this, but there's one easy way.
You can convert 8 3/4 to a decimal, which is 8.75.
From there, divide 8.75 by 5 and you get 1.75, which is 1 3/4/
How much money would Julie earn for working 16 hours? 15 hours is 180$ PLEASE HELP
Help me please this is due today and I’m stuck on this question
Answer:
[tex]b = 90[/tex]
[tex]c=80[/tex]
[tex]d =100[/tex]
Step-by-step explanation:
Given
See attachment
Required
Find b, c and d
First, we solve for b using:
[tex]b + 10 + b - 10 = 180[/tex] --- base angles of a parallelogram
Collect like terms
[tex]b + b =180+10-10[/tex]
[tex]2b = 180[/tex]
Solve for b
[tex]b = 180/2[/tex]
[tex]b = 90[/tex]
Then, we have:
[tex]d =b + 10[/tex]
[tex]c = b - 10[/tex] --- opposite angles
So, we have:
[tex]d =90 + 10[/tex]
[tex]d =100[/tex]
[tex]c = 90 - 10[/tex]
[tex]c=80[/tex]
Find the length of the cable in the diagram below.
Answer:
13.4
Step-by-step explanation:
it is A square +b square =c square which is just 12×12=144 + 6×6=36 and then add them together which is 180, then just square root 180 can do it for every type of question like that and always remember the longest side is c, and the other two it doesn't matter which is A or B.
help a girl pass her math test pleaseee
Answer:
Your answer is B
Step-by-step explanation:
Answer:
Step-by-step explanation:
A looks good
Find the slope of the line that passes through
(8,3) and (3, 4)?
a shopkeeper bought 2 watches for rs 400. he sold them to gain 5% one and loss 5% on other. calculate his final gain or loss percent. if the selling price of both watches is same.
