Answer:
The minimum guaranteed mileage is [tex]x = 71489.55[/tex]
Step-by-step explanation:
From the question we are told that
The mean is [tex]\mu = 67900[/tex]
The standard deviation is [tex]\sigma = 2050[/tex]
Generally for the probability to be 4% the minimum guaranteed mileage is evaluated as
[tex]P( X \ge x ) =1- P( \frac{X - \mu }{\sigma } < \frac{ x - 67900 }{ 2050} ) = 0.04[/tex]
[tex]\frac{X -\mu}{\sigma } = Z (The \ standardized \ value\ of \ X )[/tex]
[tex]P( X \ge x ) =1- P( Z<z) = 0.04[/tex]
=> [tex]P( X \ge x ) = P( Z<z) = 0.96[/tex]
=> [tex]z = \frac{ x - 67900 }{ 2050}[/tex]
From the z table, the critical value corresponding to 0.96 to the left of the curve is
[tex]z = 1.751[/tex]
So
[tex]1.751 = \frac{ x - 67900 }{ 2050}[/tex]
=> [tex]x = 71489.55[/tex]
Cheesy Chicken and Rice has 430 kcals per serving. How many grams of protein are in one serving of the meal if 31% of the kcals come from protein?
Answer: 133,300
Step-by-step explanation:
Given that:
Number of kcals per serving = 430
Percentage of protein in the kcal = 31%
To obtain the number or amount of protein in one serving :
31% of 430
= 0.31 * 430
= 133.3 kcal
I kcal = 1000 gram calories
Hence,
133.3 kcal = (1000 * 133.3) = 133,300 gram calories
Solve the equation. 4(x + 5) - 4 = 4
Answer: How to solve your question
Your question is
4
(
+
5
)
−
4
=
4
4(x+5)-4=4
4(x+5)−4=4
Solve
1
Distribute
4
(
+
5
)
−
4
=
4
{\color{#c92786}{4(x+5)}}-4=4
4(x+5)−4=4
4
+
2
0
−
4
=
4
{\color{#c92786}{4x+20}}-4=4
4x+20−4=4
2
Subtract the numbers
3
Subtract
1
6
16
16
from both sides of the equation
4. Simplify
5. Divide both sides of the equation by the same term
6. Simplify
Solution
=
−
3
Step-by-step explanation: I got this from a website but i hope this helps!!!!
Jennifer has 1.7 liters of lemonade. If she pours 3 tenths of lemonade into a glass how many liters of lemonade are in the glass?
EMERGENCY PLEASE HELP! Which set of ordered pairs does not represent a function?
A. {(1,2), (7,8)}
B. {(-4,4),(-2,2),(-1, 1)}
C. {(1,1),(1,2)
D. {(-5,-4),(3,6)}
E. {(0,1),(1, 1), (2, 1)}
Answer:
c.
Step-by-step explanation:
The X value 1 is repeated
I need help with this practice sheet
I'm confused with this
End behavior is when the graph goes left or right, does it go up or down.
In this graph, when it goes left it goes up, and when the graph goes right it goes down
as x => - infinity, f(x) => Infinity
as x => Infinity, f(x) => - infinity
The leading coefficient is negative.
The degree is even.
find the length of segment cd, given ab is congruent to cd
Rebecca wants to buy a bracelet that is $69.99 but today she can buy it for 20% off the price. What is the amount she will save?
Answer:
$13.99
Step-by-step explanation:
20% of $69.99 is $13.998
We get this by taking 69.99 X .2 = 13.998
Technically she would save $14 if we rounded up. But most stores will round down in order to save more money.
Whats 1+1
window
11
2
Answer:
2
Step-by-step explanation:
If you have one apple and your friend has one apple, then the total number of apples shared between you and your friend is two.
Answer: just saw the video.
Step-by-step explanation:
If I currently have a 77% in my course, and I have final that's worth 30%, how would a score of exactly 0% or 100% on the final affect my current grade in the course?
Answer:
If you score a 0% on your exam, you get 53.9% as your overall gradeIf you score 100% on your exam, you get 83.9% as your overall grade====================================================
Explanation:
Your final is worth 30% of your grade, so the other 70% is what you've already done so far
The expression below
0.30x + 0.70*0.77
represents what your final grade would be in decimal form. We multiply the weights 0.30 and 0.70 with each of their corresponding grade value.
The x represents the decimal form of the final exam score.
------------
Let's say you get a 0% on the final. That would mean x = 0 and
0.30x + 0.70*0.77
0.30*0 + 0.70*0.77
0.539
So you'd end up with a 53.9% as the overall grade.
------------
Now let's say you get 100% on the final. We plug in x = 1 since it's the decimal form of 100%
So,
0.30x + 0.70*0.77
0.30*1 + 0.70*0.77
0.839
You would end up with a 83.9% as the overall grade.
A pack of cardinal flower seeds costs $4,and a pack of petunia flower seeds costs$2.50. You buy the same number of packs of each type of flower and spend $39. How many packs of each do you buy?
Answer:
6 packs of each
Step-by-step explanation:
$4+$2.50=$6.50
39/6.5=6
Answer:
6
Step-by-step explanation:
4x + 2.50x = 39
6.50x = 39
x = 6
Jasmine enlarged a drawing she made in art class,what is the value of x
Answer: The answer is 50 :)
Step-by-step explanation:
5/12<__<3/4 what answer goes in the blank
Answer:
We have:
5/12<__<3/4
To complete the blank, we need to find a number that is larger than 5/12, but smaller than 3/4.
This is ratter easy, the first step would be to write both limits with the same denominator.
we can rewrite the upper one as:
3/4 = (3/3)*(3/4) = 9/12
Where we multiplied the numerator and denominator by the same number, 3.
Now we have:
5/12 < < 9/12
Then in the blank, we could input any number like:
5/12 + 1/12 = 6/12
6/12 is larger than 5/12, but smaller than 9/12
We also could use 7/12, or 8/12.
And those are the ones easy to find, actually, there are infinite numbers that can fill the blank.
Then to complete the answer we will write:
5/12 > 6/12 > 9/12
Simplify the expression by arranging the steps in sequence, based on the order of operations 1/6 (30x 24)-1/7(63x-7x) please help fast!!!!
Answer:
if you Simplify the expression it is 112x
(or 120-8x if 30x 24 is multiplication)
7.8
7.2
7.99
7.141 greatest to least ?
in this you would mainly look at the tenths place, and put 0's at the end till you get to the thousandth's place.
7.990, 7.800, 7.200, 7.141.
6.2x1015 (the 15 is above the 10)
Answer:
9.3
Step-by-step explanation:
6.2 x 15/10= 9.3
Answer:
Scientific notation is 1.6 x 10^16 and in regular format is:
160000000000000000
Your family’s meal at a restaurant costs $42.00. If you leave a tip of 20%, what will be the total cost?
Answer:
[tex]\$50.4[/tex]
Step-by-step explanation:
[tex]As\ we\ given,\\Actual\ cost\ for\ the\ family\ meal= \$ 42\\Additional\ cost\ percent\ to\ the\ meal\ as\ the\ tip=20 \%\\We\ know\ that,\\Additional\ Cost\ for\ the\ tip= Cost\ percent\ of\ the\ tip* Actual\ price\\ of\ the\ meal\\Hence\ by\ substituting\ the\ values,\\Additional\ Cost\ for\ the\ tip=20 \%*42\\Additional\ Cost\ for\ the\ tip=\frac{20}{100} *42\\Additional\ Cost\ for\ the\ tip=\frac{1}{5}*42\\Additional\ Cost\ for\ the\ tip=\$ 8.4\\[/tex]
[tex]Hence,\\Total\ Cost\ of\ the\ dine=Additional\ Cost\ for\ the\ tip+Actual\ Cost\ of\\ the\ meal\\Hence,\\Total\ Cost\ of\ the\ dine=42+8.4=\$50.4[/tex]
Fewer young people are driving. In , of people under years old who were eligible had a driver's license. Bloomberg reported that percentage had dropped to in . Suppose these results are based on a random sample of people under years old who were eligible to have a driver's license in and again in . a. At confidence, what is the margin of error and the interval estimate of the number of eligible people under years old who had a driver's license in ?
The margin of error is 0.027 and the interval estimate at 95% confidence interval is 0.612 to 0.666
How to calculate the margin of error and the interval estimateFrom the question, we have the following parameters that can be used in our computation:
Proportion, p = 63.9%
Sample size, n = 1200
The margin of error can be calculated using:
E = z * √((p * (1 - p))/n)
Where
z = 1.96 i.e. z-score at 95% CI
Substitute the known values in the above equation, so, we have the following representation
E = 1.96 * √((0.639 * (1 - 0.639))/1200)
Evaluate
E = 0.027
The interval estimate is calculated as
I = p ± E
So, we have
I = 0.639 ± 0.027
Evaluate
I = 0.612 to 0.666
Hence, the interval estimate is 0.612 to 0.666
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Question
Fewer young people are driving. In 1995, 63.9% of people under 20 years old who were eligible had a driver’s license. Bloomberg reported that percentage had dropped to 41.7% in 2016. Suppose these results are based on a random sample of 1200 people under 20 years old who were eligible to have a driver’s license in 1995 and again in 2016.
At 95% confidence, what is the margin of error and the interval estimate of the number of eligible people under 20 years old who had a driver’s license in 1995?
The equation y - 3x - 5 = 0 when written in slope-intercept form is:
y = 3x - 5.
y=-3x + 5.
O y = 3x + 5.
Answer:
y = 3x + 5
Step-by-step explanation:
The zero seems to be a place holder to mess you up. Just ignore that it doesn't do anything. Add -3x and -5 to the both sides to create y = 3x + 5
QUICK I GOT 2 MINUTES
We had dinner at Joe's Crab Sahck. The bill was $200. We had a coupon for 15% discount. We decided to pay the waitress 20% tip and a 7% tax. What was the amount of final bill?
Answer:
I think it is 224.
Other:
Brainliest? Thanks!
Which equation represents a circle with a center at (-4,9) and a diameter of 10 units?
(x - 9)2 + (+ 4)2 = 25
(x + 4)2 + (- 9)2 = 25
(x - 9)2 + ( + 4)2 = 100
(x + 4)2 + (- 9)2 = 100
PLZ HELP!
The equation of circle with center at P ( -4 , 9 ) and diameter 10 units is given by ( x + 4 )² + ( y - 9 )² = 25
What is a Circle?A circle is a closed figure in which the set of all the points in the plane is equidistant from a given point called “center”. Every line that passes through the circle forms the line of reflection symmetry. Also, the circle has rotational symmetry around the center for every angle
The circumference of circle = 2πr
The area of the circle = πr²
where r is the radius of the circle
The standard form of a circle is
( x - h )² + ( y - k )² = r²,
where r is the radius of the circle and (h,k) is the center of the circle.
The equation of circle is ( x - h )² + ( y - k )² = r²
For a unit circle , the radius r = 1
x² + y² = r² be equation (1)
Now , for a unit circle , the terminal side of angle θ is ( cos θ , sin θ )
Given data ,
Let the equation of circle be represented as A
Now , the value of A is
Let the center of the circle be P ( -4 , 9 )
Let the diameter of the circle be d = 10 units
So , the radius of the circle r = d/2 = 5 units
And , standard form of a circle is
( x - h )² + ( y - k )² = r²,
So , the equation of circle is
( x + 4 )² + ( y - 9 )² = 25
Hence , the equation of circle is ( x + 4 )² + ( y - 9 )² = 25
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A university organization shows that 108 of the university's 253 assistant professors were women, along with 97 of the 301 associate professors and 78 of the 350 full professors. (a) What is the probability that a randomly chosen university professor (of any rank) is a woman
Answer:
[tex]Probability = 0.3131[/tex]
Step-by-step explanation:
Required
Determine the probability of selecting a woman
The given data can be represented to show women distribution as:
-------------------------------------- Women ------------------- Total
Assistant Professors ----------- 108 ----------------------253
Associate Professors ---------97 -------------------------301
Full Professors -----------------78---------------------------350
First, we calculate the number of women
[tex]Women = 108 + 97 + 78[/tex]
[tex]Women = 283[/tex]
Next, we calculate the total number of professors
[tex]Professors = 253 + 301 + 350[/tex]
[tex]Professors = 904[/tex]
Probability of selecting women is then calculated as:
[tex]Probability = \frac{Women}{Professors}[/tex]
[tex]Probability = \frac{283}{904}[/tex]
[tex]Probability = 0.31305309734[/tex]
[tex]Probability = 0.3131[/tex] -- (approximated)
(-25w^5+30w^2)/(-5w) =
Answer:
(-25w^5+30w^2)/(-5w) Simplified:
5w^4 - 6w
Hank is building a dog run for his dog. He wants the ratio of the length to the width of the dog run to be 5 : 2. If he builds the dog run so the length is 10.5 feet, which equation can be used to solve for the width, w? What is the value of w?
Answer:
you should multiply 2 by 2.1 with that you would get the width of the dog run.
The width would be 4.2
Step-by-step explanation:
Answer:
W = 4.2 ft
Step-by-step explanation:
By what number must we multiply 5 to get the actual length 10.5 feet?
5x = 10.5 ft, or x = 2.1 ft, where x is the length
The following is true: 5 : 2 = L : W, or
5 L
----- = -----
2 W
Since we have L (10.5 ft) and need W, we solve the above equation for W:
5W = 2L, so that W = (2/5)L
Since L = 10.5 ft, W must be W = (2/5)(10 1/2 ft)
2 21
Then W = --------- * -------- ft = 21/5 ft = 4.2 ft W = 4.2 ft
5 2
I WILL GIVE BRAINLIEST!!!
Step-by-step explanation:
Select the correct answer.
Which complex number is equivalent to this expression?
1/3(6 + 3i) – 2/3(6 - 12i)
OA. 6- 7i
B. 6 + 9i
C. -2 + 9i
D.
-2 - 7i
Answer:
-2 + 9i
Step-by-step explanation:
Find 56(−4⋅27). Write your answer in simplest form.
Answer:
[tex]-6048[/tex]
Step-by-step explanation:
[tex]---------------------------------[/tex]
[tex]56\left(-4\cdot27\right)[/tex] = [tex]-6048[/tex] [tex]because[/tex]
[tex]---------------------------------[/tex]
[tex]56\left(-4\cdot27\right)[/tex] = [tex]?[/tex]
[tex]\left(-4\cdot27\right)[/tex] = [tex]-108[/tex]
[tex]56\left(-108\right)[/tex] = [tex]?[/tex]
[tex]56\left(-108\right)[/tex] = [tex]-6048[/tex]
[tex]---------------------------------[/tex]
Hope this helps! <3
[tex]---------------------------------[/tex]
A rectangular garden is fenced on all sides with 246 feet of fencing. The garden is 7 feet longer than it is
wide. Find the length and width of the garden.
(w + 7) feet=top w=side
The length of the garden is
feet.
The width of the garden is
feet.
Answer:
4
Step-by-step explanation:
Pls help pls help pls help 20 points yall pls help pls help
Representative: “I am planning to attend a company-paid conference. My charges will include $412.00 for airfare, $378.00 for conference registration, and $210.00 for food.” Supervisor: “Please submit an expense form for a total of __________ when you return.”
When he returns, the total will be "$1,000".
Given charges are:
For airfare,
= $412.00
For conference registration,
= $378.00
For food,
= $210.00
The total charges will be:
= [tex]Airfare+Conference \ registration+Food[/tex]
= [tex]412+378+210[/tex]
= [tex]1,000[/tex] ($)
Thus $1,000 is the right answer.
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5(p + 10) = (Simplify your answer.)
Answer:
Here it is simplified
Step-by-step explanation: