Answer:
$177
Step-by-step explanation:
35.40 * 5 = 177 you multiply 35.40 with 5
g The distribution of the monthly amount spent on childcare in a Midwestern city has a mean of $675 and a standard deviation of $80. A random sample of 64 families in this city paying for childcare is selected. Find the probability that the sample mean is less than $650. (Round the result to 4 decimal places.)
Answer:
0.0062 = 0.62% probability that the sample mean is less than $650.
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score 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 p-value, 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.
Mean of $675 and a standard deviation of $80.
This means that [tex]\mu = 675, \sigma = 80[/tex]
A random sample of 64 families in this city paying for childcare is selected.
This means that [tex]n = 64, s = \frac{80}{\sqrt{64}} = 10[/tex]
Find the probability that the sample mean is less than $650.
This is the pvalue of Z when X = 650.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{650 - 675}{10}[/tex]
[tex]Z = -2.5[/tex]
[tex]Z = -2.5[/tex] has a pvalue of 0.0062
0.0062 = 0.62% probability that the sample mean is less than $650.
The probability that the sample mean is less than $650 is 0.62%.
The z score is given by:
[tex]z=\frac{x-\mu}{\sigma/\sqrt{n} } \\\\where\ x=raw\ score,\sigma=standard\ deviation,\mu=mean,n=sample\ size\\\\\\Given \ \mu=675,\sigma=80,n=84, hence:\\\\For\ x<650:\\\\z=\frac{650-675}{80/\sqrt{64} } =-2.5[/tex]
From the normal distribution table:
P(x < 650) = P(z < -2.5) = 0.0062 = 0.62%
The probability that the sample mean is less than $650 is 0.62%.
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In 2013 the most expensive cocktail (made with 1858 ‘Cuvee Leonie’ cognac) was sold in Australia for $12,000. What would have been the equivalent price just one year later, in 2014?
Answer:
$14,000
Step-by-step explanation:
What is the volume (in cubic units) of a sphere with a radius of 6 units? Assume that π = 3.14 and round your answer to the nearest hundredth when necessary.
Answer: 904.32 cubic units.
Step-by-step explanation:
The formula for a sphere's volume is V = [tex]V = \frac{4}{3}\pi r^{3} \\[/tex]
Substitute pi for 3.14 and radius for 6. 6^3 = 216
[tex]\\V = \frac{4}{3}\ (3.14)( 216) \\\\[/tex]
Multiply them together, the answer is 904.32 cubic units.
plzzzzz help me plz plz plz
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
Answer: 11.52
Explanation:
1.28 x 9 = 11.52
I hope this helped!
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If 50% of a number is 150 and 30% of the same number is 90, find 80% of that number.
Answer:
240
Step-by-step explanation:
We know that 50% of the number is 150 so we can assume the number is 300(if its 50% just double that number). Next we use the equation 0.80 x 300 which gives us the answer 240.
Hope I helped
Answer:
240
Step-by-step explanation:
50%*x=150
0.5x=150
x= 300
30%*x=90
0.3x= 90
x= 300
80%*300=
0.8*300= 240
Higher Order Thinking a carpenter plans to extend the length of rectangular desk by 7 feet. Let x represent the desk's original length. The expression 96 + 7) represents the area of the desk surface where 9 is the width, in feet, and () represents the extended length, in feet, of the desk. The carpenter thinks that the area of the extended portion of the desk is 16 square feet Which choice below includes the expanded form of the area expression for the deck's surface and the correct area of the extended portion of the desk's surface?
a. 10x + 16 and 10k square feet
b. 9x+63 and 9x square feet
c. 9x + 7 and 7 square feet
d. 9x + 63 and 63 square feet
Answer:
d. 9x + 63 and 63 square feet
Step-by-step explanation:
Given
Original
[tex]Length = x[/tex]
[tex]Width = 9[/tex]
Extended
[tex]Length = x + 7[/tex]
[tex]Width = 9[/tex]
[tex]Area = 9(x + 7)[/tex]
Required
Determine an expression and the value of the extended area
First, we calculate the area of the original desk
[tex]A_1 = x * 9[/tex]
[tex]A_1 = 9x[/tex]
From the given parameters, we have:
[tex]Area = 9(x + 7)[/tex] --- area of the new surface
Open bracket
[tex]Area = 9x + 63[/tex]
The area of the new surface is the summation of the area of the original desk and the area of the extended portion (E)
So:
[tex]Area = A_1 + E[/tex]
Make E the subject
[tex]E= Area - A_1[/tex]
[tex]E= 9x + 63 - 9x[/tex]
[tex]E= 63[/tex]
Hence, the area of the extended portion is 63
Geometry Question, Need help. Will give brainliest.
Answer:
i cant see the direction sorry :(
Step-by-step explanation:
pls just look at the pic to find the question
Please help me I don’t understand
Answer:
x = 25
Step-by-step explanation:
By tangent of properties, we can get that triangle DBA is congruent to triangle DCA,
Thus, we come to the conclusion that 2x + 3 = 53
x = 25
Y= 5x -8 function rule
Answer:
Step-by-step explanation:
whats an equivalent expression for 4 + 4n
Answer:
4(1+n)
Step-by-step explanation:
4+4n
4+4n
Factor the polynomial 4+4n by it's GCF: 4
4\left(1+n\right)
4(1+n)
Muhammad Amanullah buys 4 apples for $1.12.
At the same price, how many apples can he buy for $2.52?
A-5
B-6
C-7
D-8
E-9
Answer: E) 9
Step-by-step explanation:
1.12/4 = 0.28
2.52/0.28 = 9
Answer:
9
Step-by-step explanation:
To find how much each apple costs, you have to divide the price by how many apples he brought.
1.12/4 = 0.28
Each apple costs $0.28
Now, you have to divide 2.52 by 0.28.
2.52/0.28 = 9
He can buy 9 apples at the same price with $2.52.
please help me to understand. Thanks.
Answer:
B. {(x, y): y = x²}
Step-by-step explanation:
A function is a graph where every input (x-value) has one and only one output (y-value). In other words if the value for x=2, there will only be one corresponding point for y. For the function in B, that y-value would be 4. Both A and D, solve for y, means taking the square root which leaves a +/- x-value. C is absolute value of y, which means the positive and negative values for y would have the same point. Only choice B has x-values corresponding to a singular y-value. If you can remember what these graphs look like you can test if they are functions based on the vertical line test.
HELP PLEASE HURRY!!! NO SPAM!!!!
Identify the area of the figure
Which figure where is the figure
solve for x please help asap! 20 points
Answer:
25x-21 would be my best guess!
WILL GIVE BRAINLEST This list gives the areas of different garden plots in square meters.
5.5, 6.5, 6.0, 6.0, 6.5, 6.0, 6.5, 7.0, 5.5, 6.5, 5.5, 6.0, 7.0, 5.5, 5.5, 6.5, 6.0, 6.5, 6.5, 6.0, 7.0
Create a line plot to display the data.
To create a line plot, hover over each number on the number line. Then, click and drag up to plot the data.
Answer:
Step-by-step explanation: Let me help
Answer:
i go k 12 i im taking the test rn
Step-by-step explanation:
5.5 6.0 6.5 7.0
3
7
6
5
find the average rate of change of the function y=f(x)=1/(x-1)^2-8 with respect to x on the interval -2≤x≤0
Answer:
The average rate of change is (f(3)-f(0))/3=(7-0)/3=7/3.
Step-by-step explanation:
HURRY I NEED HELP!!!
Answer: 6 plus 15 and give me brainlest
Step-by-step explanation:
Answer:
complementary angles add to 90°
create an equation for both of the angles:
90= 3x + 10 + x
solve for x by combining like terms:
90= 4x + 10
solve for x by removing 10 from both sides:
80= 4x
solve for x by dividing by 4 on both sides:
20=x
and you get your answer of x=20
To check your answer plug in 20 for x in the equation above:
90= 3(20) + 10 + 20
90= 60 + 30
90=90
factor out the combine term 21x+49y
Mr. Lau works at a bicycle factory. He gets a half-hour lunch break. If he goes to lunch at 12:32, at what time does he need to be back?
Answer:
1:02
Step-by-step explanation:
There are 30 minutes in a half-hour, so add this to the time he left:
12:32 + 30 mins
= 1:02
He will need to be back at 1:02
A survey asked people of different ages whether they get their news by reading the paper. What is the probability that a person surveyed is under 40 and gets the news by reading the paper?
Answer:5%
Step-by-step explanation:
The probability is equal to the ratio of the number of favourable outcomes and the total number of outcomes. Here the percentage that the person is surveyed under 40 and read newspaper is 5%. The correct option is B.
What is probability?Probability is the measure of the likelihood of an event to occur. Many events cannot be predicted with total certainty. We can only predict the chance of an event to occur. The probability of all the events in a sample space adds up to 1.
The value is expressed from zero to one. Here zero means the event is impossible.
Here the total person under 40 = 40
The total number of persons = 80
Those who read the newspapers under 40 = 4
Then the probability is given as:
4 / 40 × 40 / 80 × 100 = 0.05 × 100 = 5%
Thus the percentage of persons who read newspaper is 5%.
Thus the correct option is B.
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What is an LMS Update in FLVS
LMS: Learning management systems
Answer: LMS
Step-by-step explanation:
Last Monthly Sign-in
Calculate the sum of 45 and 39
Answer:
84
Step-by-step explanation:
45 + 39 = 84
I need help with this geometry question guyss!!
Answer:
Step-by-step explanation:
If a quadrilateral is a parallelogram, then its opposite sides are congruent. If a quadrilateral is a parallelogram, then its opposite angles are congruent. If a quadrilateral is a parallelogram, then its diagonals bisect each other.
ill marki brainlist plss help
Answer:
It's answer is rhombus .
The quadrilateral having 4 congruent sides is rhombus.
Hope it will help :)❤
help meeeeeee its all due toad
Well, the answer would bee 1/10 for a simple reason: the 3 in 7.315 is in the tenth's spot while the 3 in 893.5 is in the ones. a one spot different that can be proven with logic.
Find the area of the shape shown below.
Answer:
6
Step-by-step explanation:
Area of sq:
A = bh
A = (2)(2)
A = 4
Area of triangle:
A = 1/2bh
A = 1/2(2)(2)
A = 2
Combined:
4 + 2 = 6
PLEASE NO LINKS I REALLY NEED HELP
can someone please help me with this? i don’t understand. thank you!
Step-by-step explanation:
What type of function can be used to model the scenario?
Jack adds 2 quarters to his piggy bank each week.
Question 5 options:
Linear
Exponential
Quadratic
Answer:
linear
Step-by-step explanation: