Answer:
1,222,222 is the answer
Step-by-step explanation:
You can use a calculator to find out.
What’s the percentage as a decimal
Answer:
0.0006
Step-by-step explanation:
Which graph represents a function?
pls help solve question 3
Answer:
If m is the midpoint of ab it means am is equal to mb
am = 3x + 8 and mb = 6x-4
and ab = am + mb
first find the value of x by using am = mb
3x + 8 = 6x - 4
8 + 4 = 6x - 3x
12 = 3x
x = 4
ab = 3 (4) + 8
= 12 + 8 = 20 = mb
ab = am + mb
= 20 + 20
40
so, the value of ab is 40
Need help asap
Will mark you brainlist
Answer:
y= -1/2 x -1
Step-by-step explanation:
Susan subscribed to a video game rental service. She pays the same
amount for each video game she rents plus a monthly fee to subscribe to
the service. The cost for different numbers of video game rentals are
shown in the graph.
Answer:
C
Step-by-step explanation:
Answer: C. $6.00 monthly fee and $1.25 per video game
Step-by-step explanation:
I did the test
Olive weights are classified according to a unique set of adjectives implying great size. For example, the mean weight of olives classified as "Colossal" is 7.7 grams. Suppose a particular company’s crop of "Colossal" olives is approximately Normally distributed with a mean of 7.7 grams and a standard deviation of 0.2 grams. Which of the following represents the probability that the mean weight of a random sample of 3 olives from this population is greater than 8 grams?
a. 0.0970
b. 0.9953
c. 0.0668
d. 0.0047
e. 0.1932
Answer:
d. 0.0047
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal probability distribution
When the distribution is normal, we use the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.
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.
Population:
We have that [tex]\mu = 7.7, \sigma = 0.2[/tex]
Sample of 3:
[tex]n = 3, s = \frac{0.2}{\sqrt{3}} = 0.1155[/tex]
Which of the following represents the probability that the mean weight of a random sample of 3 olives from this population is greater than 8 grams?
This is 1 subtracted by the pvalue of Z when X = 8. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{8 - 7.7}{0.1155}[/tex]
[tex]Z = 2.6[/tex]
[tex]Z = 2.6[/tex] has a pvalue of 0.9953
1 - 0.9953 = 0.0047
The probability is given by option d.
You can calculate the z score for the specified sample and then use the z tables to find the p value(probability) needed.
The probability that the mean weight of a random sample of 3 olives from this population is greater than 8 grams is given by
Option d : 0.0047
How to find the z score for a sample taken from a normal distribution holding random variate?Suppose that the sample is of size 'n', then we have the z score(we are converting random variable X to standard random variable Z) as:
[tex]Z = \dfrac{X - \overline{x}}{s} = \dfrac{X - \mu}{\sigma/\sqrt{n}}[/tex]
where [tex]\overline{x}[/tex] is mean of the sample
s is the standard deviation of the sample,
and we used the central limit theorem which says that a sample from a normally distributed population with [tex]mean = \mu[/tex] and standard deviation = [tex]\sigma[/tex] can have its mean approximated by population mean and its standard deviation approximated by [tex]s = \dfrac{\sigma}{\sqrt{n}}[/tex]
Using the data given to find the intended probabilityLet the weight of the the olives for the given crop of olives of a particular company for taken random sample is given by X (a random variable)
Then, we have:
[tex]X \sim N(7.7, 0.2)[/tex]
where
[tex]\mu = 7.7, \sigma = 0.2[/tex]
Thus, we have:
[tex]\overline{x} = \mu, s = \sigma/\sqrt{n} = 0.2/\sqrt{3}[/tex]
Using the given facts, we get the needed probability as:
[tex]P( X> 8)[/tex] sample size n = 3)
Then, using the z score, we get):
[tex]P(X > 8) = 1 - P(X \leq 8) = 1 - P(Z \leq \dfrac{8 - 7.7}{0.2/\sqrt{3}})\\\\P(X > 8)=1- P(Z \leq \dfrac{0.3\sqrt{3}}{0.2}) = 1- P(Z \leq 1.5 \times \sqrt{3} )\\\\P(X > 8) = 1 - P(Z \leq 2.59) = 1- 0.9952 \approx 0.0047[/tex]
Thus,
The probability that the mean weight of a random sample of 3 olives from this population is greater than 8 grams is given by
Option d : 0.0047
Learn more about standard normal distribution here:
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what is 2/10 as a decimal number
Answer:
0.2 is the answer .
Hope it helps..
is this correct? help please
Answer:
yes
Step-by-step explanation:
y = -4/3x + 8 so you would multiply - 4/3 * x. Then you would add 8 to your answer and if the y value equals the value on the graph then it's correct.
The population of a town is 30,000, and it grows at a
rate of 7.2% per year.
What will the population be in 6 years?
Answer:
The population in 6 years will be 42,960.
Step-by-step explanation:
First, multiply 7.2% or 0.072 and 30,000 which will give you 2,160.
Then, 2,160 by the number of years (6) which is 12,960.
Lastly add 12,960 and 30,000 to get 42,960.
Hope this helps and I hope u have an Amazing day!
Can the Pythagorean Theorem be used to find a distance in the coordinate plane?
Answer:
Derived from the Pythagorean Theorem, the distance formula is used to find the distance between two points in the plane. The Pythagorean Theorem, a2+b2=c2 a 2 + b 2 = c 2 , is based on a right triangle where a and b are the lengths of the legs adjacent to the right angle, and c is the length of the hypotenuse.
Step-by-step explanation:
hope it help
Answer:
Yes it can be used because there is a right angle and by using 3 points u form a right triangle and then u will can find distance
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
C x=55
Step-by-step explanation:
the angles of a trianlge add up to 180
the unmarked angle is also 35 because of the same side length
35+35=70
180-70=110
BUT 2x=110 so x=55
P.S Can I get brainlist?
What is the total cost with sales tax price $17.95 tax 6%
Answer:
$19.03
Step-by-step explanation:
Okay, this is a standard percentage problem, so learning how to do this is necessary. First, we have to find what 6% of $17.95 is, since of is our keyword and that means to multiply, and percentages turn into decimals:
17.95 x 0.06 = 1.08
So we have our tax, then we have to add that to our original price to get the whole thing:
17.95 + 1.08 = 19.03
So the total sale price is $19.03
A bottle holds 48 teaspoons of vanilla. The amount of vanilla remaining in the bottle decreases by 2 teaspoons per
batch of cookies. How much vanilla remains after 12 batches of cookies
Answer:
24 teaspoons
Step-by-step explanation:
2 times 12 = 24
48 - 24 = 24
Paul says the slope of the line is zero
Phoebe says the slope of the line is undefined
A. Paul
B. Phoebe
Why did you use that answer?
Answer:
B. Phoebe
Step-by-step explanation:
Let's find the slope of the line that passes through (12, 5) and (12, 9).
Slope = [tex] \frac{y_2 - y_1}{x_2 - x_1} = \frac{9 - 5}{12 - 12} = \frac{4}{0} [/tex] = undefined.
14 can't be divided by zero. Therefore, it is concluded that the slope of the line is undefined.
Therefore, Phoebe is correct.
Write an algebraic expression for the phrase. 12 minus m
A. m/12 B. 12-m C. 12m D. m-12
Answer:
it's b
Step-by-step explanation:
literally twelve minus m
Answer:
B
Step-by-step explanation:
12 minus m is, 12 - m
Solve for the angle x.
Answer:
x=45
Step-by-step explanation:
An entire triangle is 180 degrees and you already know that one angle is 90 degrees. 180 - 90 is 90. Now you have the equation 2x=90.
You then divide each side by 2 to get the x by itself which leaves you with x=45.
Answer:
if I did my math right it's 45 if not please fix me
Step-by-step explanation:
First thing is the the sides are congruent meant the angles have to be the same.
Next is the box indicates 90°.
Last thing is that every triangle is 180°
so if I did this right the equation is 2x+90=180
and using algebra in this you eliminate the 90 by subtract because - is the opposite of + which cancels itself and leaving the total with 90.
Then divide the 90 by 2 as it cancels out 2x leaving the answer with x=45
I hope this helps you
Find the value of the power.
8^3 =
Answer
Answer:512
Step-by-step explanation:
Answer:
512
Step-by-step explanation:
8*8*8=512
HELP!!
Construct the graph of the direct proportion y=kx for k= -1
Simple answer.
-1 x 3 = -3
3 is your x and -3 is your y.
F(x)=3x^2-11 find f(-5)
Answer:
64
Step-by-step explanation:
Max and Sasha exercise a total of 20 hours each week. Max exercises 15 hours less than 4 times the
number of hours Sasha exercises. The system of equations shown below represents this situation, where
x represents the number of hours Max exercises and y represents the number of hours Sasha exercises.
How many hours do Max and Sasha exercise per week?
(x + y = 20
x - 4y =-15
Max exercises
hours a week and Sasha exercises
hours a week.
Answer:
Max exercises 13 hours a week, and Sasha 7.
Step-by-step explanation:
To find the number of hours each of them exercises during the week, we solve the system of equations.
In the second equation:
[tex]x = 4y - 15[/tex]
Replacing in the first equation:
[tex]x + y = 20[/tex]
[tex]4y - 15 + y = 20[/tex]
[tex]5y = 35[/tex]
[tex]y = \frac{35}{5}[/tex]
[tex]y = 7[/tex]
So Sasha exercises 7 hours per week.
Max:
[tex]x + y = 20[/tex]
[tex]x + 7 = 20[/tex]
[tex]x = 13[/tex]
Max exercises 13 hours a week.
Parker drank 36 fluid ounces of a sports drink at her basketball game. How many pints did she drink
Answer:
2 1/4 pints
Step-by-step explanation:
create a ratio with the fact there are 16 ounces in 1 cup
let 'p' = number of pints
16 = 36
1 p
cross-multiply: 16p = 36
p = 36/ 16, which is 9/ 4, or 2 1/4
Two puppies, Ruth and Scoonsie, are playing together. Scoonsie weighs 111111 kilograms, and Ruth is lighter than Scoonsie.
Write an inequality that describes r, Ruth's weight in kilograms.
Answer:
[tex]r < 11[/tex]
Step-by-step explanation:
Given
Represent Ruth with r and Scoonsie with s
[tex]s = 11kg[/tex]
Required
Represent Ruth's weight as an inequality
From the question, Ruth weighs lesser than Scoonsie. This is represented as:
[tex]Ruth < Scoonsie[/tex]
For proper representation, it is:
[tex]r < s[/tex]
Substitute 11 for s
[tex]r < 11[/tex]
The above inequality represents Ruth's weight
PLEASE HELP WILL GIVE BRAINLIEST
travelling to France, a plane encounters a tailwind and averages 282 mph. however, on the return trip the plane, now travelling against the same wind averages 222 mph. find the speed of the wind of the plane in no wind
Answer:
.
Step-by-step explanation:
determine whether the following graph represents a function , ILL MARK BRAINLIST
Answer:
this is not a function
Step-by-step explanation:
PLZ HELP I WILL GIVE BRAINLIST!!!!!!!!!!!!!!!
write an expression equivalent to 6(x + y) + 11 - 5, and state which property you used to write it.
Answer:
6x+6y+6
Step-by-step explanation:Distributive property and adding
a scientist recorded the temperature of the first day of spring for 24 hours starting from Midnight their hours the scientist recorded a low of 44°f and a high of 67°f.
Answer:
so what is the question?
Wich one is a better buy? Show your work.
Answer:
The second one because $2.50
Step-by-step explanation:10.5/3 1/3=3.15 6.25/2.5=2.50
Find the point slope equation of the line through (10, -4) with a slope of -6.
Answer:
y=-6x+56
Step-by-step explanation:
The point-slope equation of a line is given as
y=mx+c where m is slope and c is y-intercept of a line.
We are given m=-6 and a point (10,-4) which can be put into y=mx+c to find the only unknown c. Thus,
c=-4+6x10=56.
Now we can easily form the point-slope equation of the line
y=-6x+56.
Donovan is playing a word game with letter tiles. Players earn 10 points for every word they make with the tiles., plus 5 extra points if a word has 6 or more letters. At the end of the game, 3 points are taken away for each tile not used. Write an expression to represent Donovan's total score if one of his words contains 6 letters.
Answer:
10w-3t+5
Step-by-step explanation:
The expression represents Donovan's total score if one of his words contains 6 letters is 10w-3t+5.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
Let's say the number of words written is w and the number of tiles is t.
As per the given,
Players earn 10 points so 10w will be points through words.
3 points taken away thus -3t.
One word contains 6 letters thus +5 points.
Total score = 10w - 3t + 5.
Hence "The expression represents Donovan's total score if one of his words contains 6 letters is 10w-3t+5".
To learn more about expression,
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#SPJ5
14/15 divided by 7/5
9514 1404 393
Answer:
2/3
Step-by-step explanation:
There are a couple of different ways that division of fractions can be done.
1) "invert and multiply"
[tex]\dfrac{14}{15}\div\dfrac{7}{5}=\dfrac{14}{15}\times\dfrac{5}{7}\\\\=\dfrac{14}{7}\times\dfrac{5}{15}=\boxed{\dfrac{2}{3}}[/tex]
__
2) use the numerators when the denominators are the same
[tex]\dfrac{14}{15}\div\dfrac{7}{5}=\dfrac{14}{15}\div\dfrac{21}{15}\\\\=\dfrac{14}{21}=\boxed{\dfrac{2}{3}}[/tex]