Answer:
By the Central Limit Theorem, an approximately normal distribution, with mean $6425 and standard deviation $344.35.
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.
Sample mean was $6,425 with a standard deviation of $3,156
This means that [tex]\mu = 6425, \sigma = 3156[/tex]
Sample of 84:
This means that [tex]n = 84, s = \frac{3156}{\sqrt{84}} = 344.35[/tex]
a. Which distribution should you use for this problem?
By the Central Limit Theorem, an approximately normal distribution, with mean $6425 and standard deviation $344.35.
HELP ME ON THIS PLEASEEEE!!!
The sum of Jahiem and his sister's age is 21. If Jahiem is 7 years older than his
sister, write and solve a system of equations using ) to represent Jahiem's age and s
to represent his sister's age
Step-by-step explanation:
ANSWER He is 14 and she is 7 because 21 - 7 is 14
I need someone to explain this step by step. I have a test very soon.
Answer:
So you are going to multiply what is in the parentheses by two it will become 6x + 4.This will be for the second statement box. And the next will be 6x=18 and that will be the subtraction property or equality. For the last it would be x=3 and that would be the division property of equality.
Step-by-step explanation:
Imani bought one bunch of asparagus for
$2. How many bunches can Eduardo buy
if he has $4?
Answer:
2 Bunches
Step-by-step explanation:
what do I do here..?
Answer:
Baking a cake is a chemical change.
Step-by-step explanation:
The baking powder or baking soda will undergo a chemical reaction. The heat helps baking powder or soda produce tiny bubbles of gas which makes the cake light and fluffy. That's why chemical reactions are involved in baking a cake.
Find the area of the figure.
plz i give brainliest.
Answer:
23.5 inches^2
Step-by-step explanation:
Area of triangle = 1/2 * base * height
area = 1/2 * (5+2) * (5+4)
area = 31.5 in^2
Area of rectangle = length * breadth
area = 4 * 2
area = 8 in^2
Area of figure = area of triangle - area of rectangle
area = 31.5 - 8
area =23.5 in^2
PLEASE HELP!!!!!!!!! With 9, 10 and 11
Answer:
9. 6.6
10. 6
11. 8.9
Step-by-step explanation:
Pythagorean theorem states that a^2 + b^2 = c^2 where a and b are legs, and c is the hypotenuse (the longest side of the triangle).
For the first one, you're given the leg (3.1 in) and the eg (5.8 in), so you can substitute those into the equation:
a^2 + b^2 = c^2
(3.1)^2 + (5.8)^2 = c^2
Then simplify
9.61 + 33.64 = c^2
43.25 = c^2
To isolate c, take the square root of both sides.
The square root of 43.25 is 6.57647322, but they want you to round it to the nearest tenth, so round it to 6.6
For the second one, you're given one leg length and the hypotenuse.
8^2 + b^2 = 10^2
64 + b^2 = 100
To solve for b, subtract 64 from both sides
b^2 = 36
and take the square root of both sides
b = 6
For the last one, you're given a leg length and the hypotenuse
a^2 + 4.3^2 = 9.9^2
a^2 + 18.49 = 98.01
to isolate a, subtract 18.49 from both sides
a^2 = 79.52
then take the square root of both sides
a = 8.91739872 which rounds to 8.9
how to work XYZ company's cost function for the next four months is c=500,000+5Q .. If, because of strike, the most the company can produce is br. 100,000 units, should it shutdown? Why or why not?
Answer:
(A) So since BE means cost = revenue, you just need to solve
6Q = 500,000 + 5Q
(B) they told you at the top what the 4-month cost is. That is still true, even if Q=0
(C) find revenue for 100,000. If less than cost, shut down.
Arrange the expressions below in order from least to greatest. Place the least at the top and greatest at the bottom. ( 72 ÷ 8 ) − 2 × 3 + 1 72 ÷ ( 8 − 2 ) × 3 + 1 72 ÷ ( 8 − 2 ) × ( 3 + 1 ) 72 ÷ 8 − 2 × ( 3 + 1 )
Answer:
Step-by-step explanation:
2 × 3 + 1 72 ÷ ( 8 − 2 ) × 3 + 1 72 ÷ ( 8 − 2 ) × ( 3 + 1 ) 72 ÷ 8 − 2 × ( 3 + 1 )
Answer:
(72 divided by 8) second one, 72 divided by (8 - 2),third one, 72 divided by (8 - 2) x (3 + 1). last one. then the leftover number is the first one.
Step-by-step explanation:
If the probability of an outcome is 2/9, what are the odds against that outcome?
Answer:
7/9
Step-by-step explanation:
If the chances of an outcome are 2/9, the odds against it can be found by subtracting that from 1.
1 - 2/9
= 7/9
So, the odds against that outcome are 7/9
Solve: -6n + 5 < 11
Which graph shows the solutions?
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6
-6-5-4-3 -2 -1 0 1 2 3 4 5 6
-6-5 -4 -3 -2 -1 0 1 2 3 4 5 6
Answer:
graph should show an open circle on -2 with shading to the right
Step-by-step explanation:
-6n + 5 < 11
-6n < 6
n > -1
solutions consist of all number greater than -1
The perimieter of parallelogram ABCD is 86cm. AD is 4cm more than twice AB. Find the length of BC.
Answer: 30
Step-by-step explanation: i’m not sure but my hw says it’s right
Lacey runs a stable that boards a range of horses.
brown 8
black 9
gray 3
Considering this data, how many of the next 15 horses that come to board should you expect to be brown horses?
Answer:
Step-by-step explanation:
8 out of 20 horses are brown
so
8/20
so
2/5
so
2/5 * 15 = 6
so
6 horses should be brown out of 15
In Ronna’s class, the ratio of boys to girls is 2:3. In Suzie’s class, there are half as many girls as in Ronna’s class. If there are 12 boys in Ronna’s class, how many girls are in Suzie’s class?
Answer:
4
Step-by-step explanation:
2:3
4:6
6:9
8:12
8 girls in Ronna’s class
Half of 8 is 4
how much will a person pay for 1.5 pounds of bananas at a price of .95 per pound
Answer:
1.425
Step-by-step explanation:
when 1pound is 0.95
then 1.5should be multiplied by 0.95
The total weight of 15 bags of groceries is 45 pounds. If each bag weighs the same amount, how much would 7 bags of groceries weigh?
please help
writing in terms of i
Answer:
[tex]4i \sqrt{6} [/tex]
When 3x+2≤5(x-4) is solved for x, the solution is?
Answer: #4 x >l 11
Hope this helps
Step-by-step explanation:
Pls help me
Here is triangle ABC:
No links pls
Answer:
[tex]Given: AC=1[/tex]
∠A=0
[tex]Cos0=\frac{B}{H} =\frac{AB}{AC}[/tex]
[tex]Cos0=\frac{AB}{1}[/tex]
[tex]AB=Cos0[/tex]
-------------------------
hope it helps...
have a great day!!
Answer:
AB = AC×cos theta= cos theta
Determine which solution is correct for solving StartFraction 5 over 7 EndFraction y = 6using reciprocals.
Given:
The equation is:
[tex]\dfrac{5}{7}y=6[/tex]
To find:
The solution of the given equation by using the reciprocals.
Solution:
We have,
[tex]\dfrac{5}{7}y=6[/tex]
We need to multiply both sides by the reciprocal of [tex]\dfrac{5}{7}[/tex] to isolate the variable x.
The reciprocal of [tex]\dfrac{5}{7}[/tex] is [tex]\dfrac{7}{5}[/tex]. So, multiplying both sides by [tex]\dfrac{7}{5}[/tex], we get
[tex]\dfrac{5}{7}y\times \dfrac{7}{5}=6\times \dfrac{7}{5}[/tex]
[tex]y=\dfrac{42}{5}[/tex]
[tex]y=8.4[/tex]
Therefore, the value of y is 8.4.
Answer:
42/5
Step-by-step explanation:
sec 330 find the exact value in simplest form with a rational denominator
Answer:
[tex]\implies \sec 3 30^o = \dfrac{2}{\sqrt3}=\dfrac{2\sqrt{3}}{3}[/tex]
Step-by-step explanation:
Given :-
[tex]\sec 330^o [/tex]And we need to find out its value . Firstly we know that 330° lies in 4th quadrant . And In fourth quadrant , cosine and secant are positive . Therefore , the result will be positive. Now we know that ,
[tex]\implies \sec (360^o-\theta)= \sec\theta [/tex]
Using this ,
[tex]\implies \sec (330^o) \\\\\rm\implies sec(360^o-30^o) \\\\\rm\implies \sec 30^o [/tex]
And the value of sec 30° is ,
[tex]\implies \sec 30^o = \dfrac{2}{\sqrt3}[/tex]
And by question we need to write it with a rational denominator .So on rationalising the denominator , we have ,
[tex]\implies \sec 30^o = \dfrac{2}{\sqrt3}=\boxed{\red{\dfrac{2\sqrt3}{3}}}[/tex]
Hence the required answer is 2√3/3.
Which inequality represents the situation written below?
The temperature outside today should be at least 40 degrees.
Answer:
at least 40 means minimum 40.
option G
What is the distance, rounded to the nearest tenth, between the points (-2,4) and (6,-4)?
2. Marquan sells pretzels at Auntie Anne and earns $15 per hour,
(a) Write an expression to show the relationship between the number of hours
worked (h) and the total earnings.
(b) Use the expression to determine the amount of money he earns if he
worked for 2 hours (b) 3 hours (c) 5 hours
Yes
dollars per hour = salary
a
dollars per hours multiplied with hours worked (h) = total earnings
b
15 x 2 = 30
15 x 3 = 45
15 x 5 = 75
(h)
Do you want to buy the 101 disc CD charger for 108 and also the digital camera for 364 if the sales tax is 6.5 what is your after-tax total
Answer: 441.32 currency units
Step-by-step explanation:
The CD changer costs 108 currency units and the Camera costs 364 currency units.
First add these up to find out the total price:
= 108 + 364
= 472 currency units
The sales tax is 6.5% and this needs to be deducted from the total to get the after-tax total:
= 472 * ( 1 - 6.5%)
= 441.32 currency units
-2(t+7)=-4t+12 what is the value of t
9514 1404 393
Answer:
13
Step-by-step explanation:
-2(t +7) = -4t +12
t +7 = 2t -6 . . . . . . . divide by -2
13 = t . . . . . . . . . . . . add 6-t
Two cars leave the same parking lot, with one heading north and the other heading'east. After several minutes, the northbound car has
traveled 12 kilometers and the eastbound car has traveled 9 kilometers, measured in a straight line. How far apart are the two cars? Round
to the nearest tenth, if a decimal.
Answer:
I DONT KNOW DO YOU?
Peter, Dan, Harold, and Randy each have a nickel. All four of them flip their nickels at the same time. a. Draw a tree diagram of all the combinations possible when the four boys flip their coins.
You would get something like this. This is because with the first kid, they can get either Heads or Tails, two possibilities.
After this, the second kid can also cause either Heads or Tails but they are building on what the first kid had already done, so four possibilities.
Thsi keeps on multiplying on and on by 2 the more kids who flip a coin.
The probability exists a branch of mathematics in which the events of investigations happening exist estimated.
b) 50% probability that Dan and randy will flip the same thing.
25% of heads and 25% of tails.
What is the classical definition of probability?Probability exists the analysis of the circumstances of event of a result, which exists received by the ratio between favorable cases and possible cases.
b) 50% probability that Dan and randy will flip the same thing.
25% of heads and 25% of tails.
Complete question:
Peter, Dan, Harold, and Randy each have a nickel. All four of them flip their nickels at the same time.
a. Draw a tree diagram of all the combinations possible when the four boys flip their coins.
b. What is the probability that Dan and Randy will each flip the same thing. (Either they will both flip 'heads' or they will both flip 'tails'.)
To learn more about probability
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Answer:
what?
Step-by-step explanation:
Which property of real numbers is utlities by rewriting 11x+5xy as x(11+5y)
9514 1404 393
Answer:
distributive property
Step-by-step explanation:
The distributive property of multiplication over addition tells you ...
a(b +c) = ab +ac
This works both ways, allowing you to eliminate or add parentheses as may be needed.
The common factor of ...
11x +5xy
is x. It may be factored out according to the distributive property to give ...
x(11 +5y)
What is the gravitational potential energy of a 55-kg person that has climber a 4,000 meter tall mountain?
Bonus: if one snickers bar is 1,100,000 joules of energy, how many snickers bars would provide enough fuel to climb the mountain ?