Answer:
Largest is [tex]x_2 = \$ 63.506[/tex]
Smallest is [tex]x_1 = \$ 45.29[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = \$ 54.40[/tex]
The standard deviation is [tex]\sigma = \$ 13.50[/tex]
The largest and the smallest amount spent by 50% of the costumer is mathematically represented as
[tex]P(x_1 < X < x_2) = P(\frac{ x_1 -\mu}{\sigma } < \frac{X - \mu }{ \sigma } < \frac{ x_2 -\mu}{\sigma } ) = 0.50[/tex]
=> [tex]P(x_1 < X < x_2 ) = P(\frac{x_1 - 54.40}{ 13.50} < X < \frac{x_2 - 54.40}{ 13.50} ) = 0.50[/tex]
Given that this is normally distributed we have that
[tex]P(X <- \frac{x_1 - 54.40}{ 13.50} ) = 0.25[/tex]
and
[tex]P(X < \frac{x_2 - 54.40}{ 13.50} ) = 0.25[/tex]
From the normal distribution curve that z-score having a probability of 0.25 is
0.6745
So
[tex]\frac{x_1 - 54.40}{ 13.50} = -0.6745[/tex]
=> [tex]x_1 = \$ 45.29[/tex]
and
[tex]\frac{x_2 - 54.40}{ 13.50} = 0.6745[/tex]
=> [tex]x_2 = \$ 63.506[/tex]
A group project in an intro stats project looks at the cost of gasoline. Students recorded the cost per gallon at a nearby gas
station over a period of 10 weeks and want to make a time plot. What variable goes on the horizontal axis?
Choose the correct answer below.
Time (week 1 - Week 10)
Day of the week the cost was recorded (Sun - Sat)
Cost per gallon
Answer:
Time (week 1 - week 10)
Step-by-step explanation:
Given
Measure of cost of gasoline over a period of time
Required
Determine what variable belongs to the horizontal axis
To answer this question, I'll re-echo the given parameters again
Measure of cost of gasoline over a period of time
This can be rephrased to be
Measure of cost of gasoline with respect to time
This means that the cost of gasoline is a function of time (10 weeks, to be precise).
Hence;
Cost will be on the vertical axis
Time will be on the horizontal axis
Conclusively,
The first option answers the question
Test weather 167 is prime
Answer:
167 is a prime number
Step-by-step explanation:
coz 167 is not divided by any no except 1 or itself
If h(x) = -2x+5/4, find h(x) = 3/4
Answer:
x = 1/4
Step-by-step explanation:
We are given the function as h(x) = - 2x + 5/4. If we have to determine h(x) = 3/4 given this function, let's substitute this value into our function and solve for 'x.' This will be our solution -
3/4 = - 2x + 5/4,
If we subtract 5/4 from either side : - 2x = - 1/2
Now divide either side by - 2 : x = 1/4
Therefore our solution is x = 1/4
Answer:
[tex]x=\frac{1}{4}[/tex]
Step-by-step explanation:
So we have the function:
[tex]h(x)=-2x+\frac{5}{4}[/tex]
And we want to find h(x)=3/4.
So, we want to find the value of x such that h(x) equates to 3/4.
So, substitute 3/4 for h(x):
[tex]\frac{3}{4}=-2x+\frac{5}{4}[/tex]
First, subtract both sides by 5/4. The right will cancel.
[tex]\frac{3}{4}-\frac{5}{4}=-2x+\frac{5}{4}-\frac{5}{4}[/tex]
Subtract on the left:
[tex]-\frac{2}{4}=-2x[/tex]
Reduce on the left:
[tex]-\frac{1}{2}=-2x[/tex]
Now, multiply both sides by -1/2. The right will again cancel:
[tex]-\frac{1}{2}(-\frac{1}{2})=-\frac{1}{2}(-2x)[/tex]
Multiply on the left:
[tex]x=\frac{1}{4}[/tex]
So, for h(x) to be 3/4, the value of x is 1/4.
And we're done!
24,200 reduced by 1/5
Answer:
19,360
Step-by-step explanation:
1/5 is .2, or 20%. So we multiply the number by .8 to have 80% of the original.
24,200*.8=19360
7,434 is divisible by 6. True or false?
answer fast!!!
Answer:
1239
Step-by-step explanation:
7434/6
Do long division
Please please help!!!!!
Answer:
[tex]188\sqrt{2}-8\sqrt{5}[/tex] feet
Step-by-step explanation:
Well the perimeter is the sum of all sides that means
P= lenght + width + lenght + width
P=2(lenght + width)
so
[tex]P=2(2\sqrt{8}+3\sqrt{5}+45\sqrt{8}-7\sqrt{5} )\\\\P=2((2+45)\sqrt{8}+(3-7)\sqrt{5})\\\\P=2(47\sqrt{8}-4\sqrt{5})\\\\P=2(94\sqrt{2}-4\sqrt{5})\\\\P=188\sqrt{2}-8\sqrt{5}[/tex]
Suppose we flip a fair coin n times. We say that the sequence is balanced when there are equal number of heads and tails. For example, if we flip the coin 10 times and the results are HT HHT HT T HH, then this sequence balanced 2 times, i.e. at position 2 and position 8 (after the second and eighth flips). In terms of n, what is the expected number of times the sequence is balanced within n flips?
Answer:
Step-by-step explanation:
Given:
fair coin is flipped n times
sequence is balanced when there are equal number of heads and tails
To find:
In terms of n, what is the expected number of times the sequence is balanced within n flips
Solution:
Let C(n,r) be the binomial co-efficient. The sample space has [tex]2^{n}[/tex]
Suppose that n is even because there are equal number of heads and tails and the number of heads and tails is not equal when n is odd.
As the result can be either head or tail so the probability of getting head is 1/2. So the number of these sequences with n/2 head is C(n,n/2) since we choose n/2 out of n to be assigned heads.
As every string sequence is equal chance of occurring so the probability is
C(n,n/2) / [tex]2^{n}[/tex]
Value of 3 in 6300 is what times the value of 3 in 530
Answer:
Value of 3 in 6300 is 10 times the value of 3 in 530
Step-by-step explanation:
3 in 6300=hundreds place
3 in 530=tens place
Therefore 10 times
3w – 15
Factoring out the GCF
The factored form of 3w - 15, after factoring out the Greatest Common Factor, is 3(w - 5).
To factor out the greatest common factor (GCF) from the expression 3w - 15, we first need to determine the GCF of the two terms.
In this case, the GCF of 3w and 15 is 3. Both terms are divisible by 3.
To factor out the GCF, we divide each term by the GCF:
3w/3 - 15/3
Simplifying further, we have:
w - 5
Therefore, the factored form of 3w - 15, after factoring out the GCF, is 3(w - 5).
Factoring out the GCF is a process that involves identifying the highest common factor of all the terms in an expression and dividing each term by that factor. This helps simplify the expression and can make it easier to work with or further factorize if needed.
In this case, the GCF was 3, so we divided both terms by 3 to factor it out, resulting in the simplified expression w - 5.
To learn more about the greatest common factor;
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The complete question:
Find out the factored form of the following expression,
3w – 15
Factoring out the GCF
A soup recipe calls for 6 chopped onions. You want to make of the recipe. How many onions will you need?
Answer:
6?
Step-by-step explanation:
??????????????????????????????????????????Is confoosed
Is easy?
Answer:
six
Step-by-step explanation:
bc if u need 6 chopped onions it still means 6 onions just u chop them
Antoni drives a taxi £4 fixed cost+ 60p per mile How much does he charge for 12 miles
Answer:
£ 11.20
Step-by-step explanation:
Cost of charge per mile = 60 p
Cost of charge for 12 miles = 0.60 * 12
= £7.20
Charge paid by Antoni = 4 + 7.20 = £ 11.20
What is the value of x in the equation?
Answer:
[tex]x=56[/tex]
Step-by-step explanation:
So we have the equation:
[tex]\frac{2(x+4)}{3}-8=32[/tex]
First, add 8 to both sides. The left cancels:
[tex]\frac{2(x+4)}{3}=40[/tex]
Multiply both sides by 3. The left cancels:
[tex]2(x+4)=120[/tex]
Divide both sides by 2:
[tex]x+4=60[/tex]
Subtract 4 from both sides:
[tex]x=56[/tex]
And we are done!
5 people can claim joint ownership of an item and intend to divide it by the method of sealed bids. The winner offers a bid of $66,000 how much will that bidder need to put into a kitty for the other bidders to be compensated?
Do not include $signs with your response.
Answer:
16,500
Step-by-step explanation:
5-1 (the bidder) = 4 divided by 66,000 = 16,500
The number of amount that bidder need to put into a kitty for the other bidders to be compensated is 52,800
Important information:5 people can claim joint ownership of an item and intend to divide it by the method of sealed bids. The winner offers a bid of $66,000
Calculation of amount:[tex]= 66,000 - (66,000 \div 5)[/tex]
= 66,000 - 13,200
= 52,800
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Answer:
1) 11/10= 1 1/10
2)17/15= 1 2/15
3)10/10= 1
4)11/10= 1 1/10
5)9/18= 1/2
What is the image point of (6,8)(6,8) after a translation right 5 units and up 3 units?
Answer:
11,11 I believe this is the answer.
The new coordinate of the image of the point is (11,11).
What is Transformation?Transformation is the process of changing the graph to a new graph by Rotation, Reflection, Translation, and Dilation.
The point coordinate is (6,8)
The translation is right 5 units and up 3 units
The x coordinate is shifted 5 units to the right, (x+5)
and the y units is shifted 3 units up, y+3
(6+5, 8+3)
(11,11)
To know more about Transformation
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At Davidson's Bike Rentals, it costs $22 to rent a bike for 6 hours. How many dollars does it cost per hour of bike use? dollarsperhour
Answer:
$3.66
Step-by-step explanation:
22÷6=3.66666666667 or 3.66
largest to smallest 4 3/5 -17 3/5 -14 5/5
Answer:
4 3/5, -14 5/5, -17 3/5
Step-by-step explanation:
Calculate the a50 term of the geometric sequence with a28 = 3 and r = -1
Answer:
3
Step-by-step explanation:
multiplying by -1 only changes the number if you're multiplying an odd amount of times, but this time you're going from 28 to 50, so it's even, so the number stays the same.
1. Estimate 6,963 - 3,098. Round each number first.
A about 5,000
B about 4,000
C about 2,000
D about 3,000
Answer:
the answer is 3,765
so the estimate is 4,000
B. About 4,000
What is the solution to -6z=72 1) 12 2) 9 3) -9 4) -12
Step-by-step explanation:
-6z = 72
z = 72/(-6)
= -12
4) -12
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ - 12}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - 6z = 72}[/tex]
Divide both sides by -6
[tex] \dashrightarrow{ \sf{ \frac{ - 6z}{ - 6} = \frac{72}{ - 6} }}[/tex]
Calculate
[tex] \dashrightarrow{ \sf{z = - 12}}[/tex]
Hope I helped!
Best regards! :D
Simplify the given expression below: (3 + 4i) + (5 − 2i) (2 points)
Answer:
your answer will be 8+2i
Answer:
8 + 2i.
Step-by-step explanation:
(3 + 4i) + (5 - 2i
= 3 + 5 + 4i - 2i
= 8 + 2i.
AB = 5x -9; BC= -2x + 12
Answer:
X=-3
Step-by-step explanation:
5x - 9
-2x + 12
(+) (-)
7x = -21
X= -3
plz mark ice bear as Brainliest
What is the lenght of the unknown log in the right triangle?
25 m
b
20 m
O 5 m
5 m
O 745 m
15 m
Mika taught her sister the steps for dividing a decimal by a decimal. Which instructions are correct? 1. Multiply the divisor by a multiple of 10 to create an integer divisor. 2. Multiply the dividend by the same multiple of 10 as step 1. 3. Divide, and apply the rules for dividing signed numbers. 1. Multiply the dividend by a multiple of 10 to create an integer. 2. Multiply the divisor by the same multiple of 10 as step 1. 3. Divide, and apply the rules for dividing signed numbers. 1. Divide the divisor by a multiple of 10 to create an integer divisor. 2. Divide the dividend by the same multiple of 10 as step 1. 3. Divide, and apply the rules for dividing signed numbers. 1. Divide the dividend by a multiple of 10 to create an integer. 2. Divide the divisor by the same multiple of 10 as step 1. 3. Divide, and apply the rules for dividing signed numbers.
Answer: its A
1. Multiply the divisor by a multiple of 10 to create an integer divisor.
2. Multiply the dividend by the same multiple of 10 as step 1.
3. Divide, and apply the rules for dividing signed numbers.
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Determine the input that would give an output value of 2/3.
Answer:1/6 is the answer
Step-by-step explanation: I have done this befor.
Answer: x = 19
Step-by-step explanation:
Demonstrate your knowledge of probability here. If you were to spin the spinner and roll the die below….. What is the P(green or 5)?
Answer:
P= any number or color
Step-by-step explanation:
because there is all sorts of cobinations.
But the most possible one is
Red for the spinner and any number for the die.
possible answers.
red:1
Red:2
Red:3
Red:4
Red:5
Red:6
Brainly please
Jessica buys ground beef in a 10 pound tube at the store. She spends $19.90 on ground beef. Identify the unit of measure for this problem.
Answer: $1.99
Step-by-step explanation:
PART A: Cost Of Item/ Number of units of measure
Part B: 10 Pound Tube.
Part C: $19.90 / 10 Lb Tube = $1.99
The Unit cost for the ground beef is $1,99
35-2.4(7-5)
What is the answer to this question
(a) An angle measures 27°. What is the measure of its complement?
(b) An angle measures 53°. What is the measure of its supplement?
measure of the complement:
X
$
measure of the supplement:
Please help
Answer:
a) 63°
b) 127°
Step-by-step explanation:
Complements are 90° while supplements are 180°.
So you need to find the complement of 27°. So, 90-27=63
To find the supplement, it is 180-53=127
Which algebraic rule for a rotation describes the change in coordinates: G(5, -1) to G' (-5, 1)?
Answer:
Rotate 180 degrees around (0,0) or flip y axis and then x axis