A recent survey by the American Automobile Association showed that a
family of two adults and two children on vacation in the United States will
pay an average of $247 per day for food and lodging with a standard
deviation of $60 per day. Assuming the data are normally distributed, if
the family had a z-score of 1.5, what was their daily expense for food and
lodging?
The daily expense for food and lodging will be 337.
What is the z-score?The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
The z-score is given as
z = (x - μ) / σ
Where μ is the mean, σ is the standard deviation, and x is the sample.
A recent survey by the American Automobile Association showed that a family of two adults and two children on vacation in the United States will pay an average of $247 per day for food and lodging with a standard deviation of $60 per day.
Assuming the data are normally distributed if the family had a z-score of 1.5.
Then the daily expense for food and lodging will be
z = (x - μ) / σ
1.5 = (x - 247) / 60
90 = x - 247
x = 247 + 90
x = 337
The daily expense for food and lodging will be 337.
More about the z-score link is given below.
https://brainly.com/question/15016913
#SPJ2
what number does w^2 - w^3 represent when w=-5
Answer:
-100
Step-by-step explanation:
(-5)^2- (-5)^3=
25-125= -100
Hey there!
plug in the value of w and solve:
(-5)²-(-5)³
25-(-125)
25-125
-100
Hence, -100 is the answer.
Let me know if you have any questions!
#LearningDoesn'tEnd
:-)
Once you have identified a problem, the next step is to determine the possible solutions, which are called
Answer:
decision alternatives
Step-by-step explanation:
uhhh yea thats pretty much it -
A 20-feet ladder leaning against a wall is used to reach a window that is 17 feet above the ground. How far from the wall is the bottom of the ladder? Round to the NEAREST TENTH of a foot.
Group of answer choices
10.5 ft
10.4 ft
10.6 ft
10 ft
Answer:
B, 10.5
Step-by-step explanation:
It's actually 10.54, but since you want be to round it, it's 10.5
Finding the missing side of an triangle?
Answer:
10.1119 m or √102.25 m
Step-by-step explanation:
Using our lovely Pythagorean theorem, a² + b² = c², we can find the value of x in this triangle.
Let's say that a = 4.8 and b = 8.9, then set c as x.
(4.8)² + (8.9)² = x²
23.04 + 79.21 = x²
x² = 102.25
x = √102.25
= 10.111874208...
≈ 10.1119
Solve for x.
x^2−3x=10
Answer:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero.
x=5,−2
Step-by-step explanation:
I can do math
A man is paid $9.60 per hour for a 40 hour week and he is paid at a time and a half for overtime. Find how many hours of overtime he worked when his wage for a certain week was $528.00
What is the equation of the translated function? f(x) = (x – 1)2 – 5 f(x) = (x 1)2 5 f(x) = (x – 5)2 – 1 f(x) = (x 5)2 1
The equation of the translated function will be given by f(x) = ( x + 1 ) 2 + 5
What will be the equation?The vertex of the original function is (0, 0 )
The vertex of the translated function is (- 1, 5 )
Given f(x) then f(x + a) represents a horizontal translation of f(x)
• If a > 0 then a shift to the left of a units
• If a < 0 then a shift to the right of a units
The translated graph has been shifted 1 unit left, thus
f(x) = (x + 1)²
Given f(x) then f(x) + c represents a vertical translation of f(x)
• If c > 0 then a shift up of c units
• If c < 0 then a shift down of c units
The translated graph has been shifted 5 units up,
Thus the equation of the translated function will be given by f(x) = ( x + 1 ) 2 + 5
To know more about functions follow
https://brainly.com/question/875118
Answer:
f(x) = ( x + 1 )^2 + 5
Step-by-step explanation:
2x+5=12
Show me the working out
Answer:
[tex]\sf{x=\dfrac{7}{2}=3.5 }[/tex]
Step-by-step explanation:
It is necessary to isolate the term of x from both sides in order to solve this problem.
First, subtract by 5 from both sides.
2x+5=12
[tex]\sf{2x+5-5=12-5}[/tex]
Solve.
[tex]\sf{12-5=7}[/tex]
2x=7
Divide by 2 from both sides.
2x/2=7/2
Solve.
Dividing is another option.
7/2=3.5
So, the final answer is 7/2=3.5.
I hope this helps you! Please let me know if my answer is wrong.
BE QUICK I NEED THE ANSWER AND WILL GIVE BRAINLEST
A candy bar box is in the shape of a triangular prism. The volume of the box is 1,200 cubic centimeters.
Part A: What is the height of the base? Show your work. (5 points)
Part B: What is the approximate amount of cardboard used to make the candy box? Explain how you got your answer. (5 points)
Answer:
A) 12 cm
B) 520 cm² (just sides); 720 cm² (sides and base)
You are an office manager, and you need to buy a new
printer. You are looking at two options for the printer
model you like. A local electronics store offers the
model for $499.99 plus a 5% sales tax. An online store
offers the same model for $549.99 plus $22.95 for
shipping and no sales tax. You plan to use a coupon
for the online store for 10% off the purchase price
before the shipping fee.
What will be the final price of the better deal?
$472.49
$515.65
$517.94
$524.99
$572.94
First let's calculate the final price at the electronic store.
499.99*(1+0.05)≈524.99
Now let's calculate the final price online
(549.99+22.95)*(1-0.1)≈515.65
If we compare the two we can see that the online price is cheaper at around 515.65 dollar therefore the second choice is correct.
I hope this helped if you have any questions please ask!
You have four $1 bills, three $5 bills and two $10 bills in your wallet. How much money do you have in your wallet
Answer: $39
Step-by-step explanation: 4(1)+3(5)+2(10)=39
Answer:
39 dollars.
Step-by-step explanation:
1 x 4= 4
3 x 5= 15
2 x 10= 20
add them up:
15+4= 19
19+20= 39
Find side x give answer to 1dp
Answer:
X= 10.8
Step-by-step explanation:
PLEASE HELP LOOK AT THE PICTURE I NEED HELP NOWWWW!!!! WILL GIVE 20 POINTSSSSSS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Which of the following could be the number shown on the number line?
A.35
B.38
C.37
D. 30
Answer:
A. 35
Step-by-step explanation:
√35 = 5.9160797830996160425673282915616170484155012307943403228797196691
Answer: √35
Plz mark brainliest ;)
The point (4,200) means 4 bags contain 200 pounds of dog food.
True or false
STEPS
1)
1. Write the coordinates of the 1st and
2nd points.
2. Label the coordinates of the first point
as
(X1,Y1) and the 2nd point as (X2
Y2).
3. Use the formula
m=Y2-Y
X2 - X
1st Point 2nd Point
1st Point:
2nd Point:
m=Y-Y
X2 - X
m=Y-Y
X2 - X
Answer:
The first point is right in the origin, so it's (0,0)
Our second point is (2, 1)
Our first point (0,0) would look like if labeled
0(X1) , 0(Y1)
Our second point would look like if labeled
2(X2) , 1(Y2)
Order them to find the slope;
1 - 0 1
____ = ___, our slope for this is 1/2
2 - 0 2
Write 3 1/2 hours : 36min as a ratio in its simplest form
Answer:
Step-by-step explanation:
you can re-write 3 1/2 hours into minutes.
1 hr = 60 minutes,
Therefore:
3 1/2 hours = 3.5 times 60 = 210 minutes
So now we have the ratio:
3 1/2 hours : 36 minutes
210 minutes : 36 minutes
Both numbers can be divided by 6
210/6 = 35 and 36/6 = 6
So now we can re-write the ratio as :
35 : 6
help me at this thanks...please this is an urgency
Answer:
if simplified is 30
Step-by-step explanation:
600 x 360/7,200
please help me answer this question!! I don’t understand it at all. picture attached
Answer:
Step-by-step explanation:
whats the angle between m,n,i i think thats what its asking but i dont know for sure.
Directions: Write each equation in slope intercept form (y = mx + b)
1...2x+y=1
x-2y=8
2... 3x+2y=4
x+2y=-4
3... 4x+y=1
x+y=-2
SHOW WORK
Answer:
Below.
I Hope it helps :)
Step-by-step explanation:
Slope intercept form :
y=mx+b
1.
[tex]2x + y = 1[/tex]
Slope intercept form :
[tex]y = - 2x + 1[/tex]
Equation :
[tex]x - 2y = 8[/tex]
Slope intercept form :
[tex] - 2y = - x + 8[/tex]
or
[tex] y = \frac{1}{2} x - 4[/tex]
2.
[tex]3x + 2y = 4[/tex]
Slope intercept form :
[tex]2y = - 3x + 4 \\ [/tex]
Divide through by 2
[tex]y = - \frac{3}{2} x + 2[/tex]
Equation :
[tex]x + 2y = - 4[/tex]
Slope intercept form :
[tex]2y = - x - 4[/tex]
Divide through by 2
[tex]y = - \frac{1}{2} x - 2[/tex]
3.
[tex]4x + y = 1[/tex]
Slope intercept form =
[tex]y = - 4x + 1[/tex]
Equation :
[tex]x + y = - 2[/tex]
Slope intercept form :
[tex]y = - x - 2[/tex]
Divide B by 3 then triple the results
Answer:
It is B
Step-by-step explanation:
B:3=b
bx3=B
Jen is 52 inches tall. Sam, her younger brother, is 7 inches shorter than Jen. How tall is Sam?
Answer:
45
Step-by-step explanation:
52-7
=45
PLEASE GIVE BRAINLIEST
A model of a house was drawn using a scale 2in= 12ft. If the model measures 10 inches in length then find the actual length of the house.
Answer:
60
Step-by-step explanation:
Because 2x5=10 and 12x5=60
Two linear equations
Answer:
x=3y-2
x+3y=6
if x value is above
place the value of x
3y-2+3y=6
3y+3y_=6+2=8
6y=8
y=8/6=4/3
y=4/3.
I don't know it's correct .which I think I did.
x=3,4/3-2
x=12/3-2/1
to make alceeam same 2/1we multiply by 3
x=12/3 -6/3
x=12-6/3
x=6/3
x=2
the answer is
2,4/3
please help me answer the question
Answer:
paul had £5x=£65
Step-by-step explanation:
Dan: Paul = 9:5
Dan £9x, Paul £5x
9x-26=5x+26
9x-5x=52
4x=52
x=13
9x=117
5x=65
paul had £5x=£65
What is the distance between the points ‒3 and 19 on a number line?
Answer:
22
Step-by-step explanation:
19-(-3)
19+3
22
evaluate and solve for the variable 70 = 7m
Answer:
10= m
Step-by-step explanation:
70 = 7m
70/7 = 7m/7
10= m
hope this helps! :)
Answer: 10m
Step-by-step explanation: m=10
If I ran 10x-2 now and then ran 2x+18 tommarow how much have I ran in total
Answer:
10x-2+2x+18
=10x+2x+18-2
=12x+16
Answer:8x-16
Step-by-step explanation:
Find the equation of the line that goes through the point
(-2,5) and a slope = -4
Submit
Please help
Answer:
y=-4x-8
Step-by-step explanation:
use the equation y-y1=m(x-x1) and solve for y
Answer:
y=-4x-3
Step-by-step explanation:
For this, you would use the point-slope formula, which is (y-y1)=m(x-x1), with x1 and y1 being the coordinates from the ordered pairs, and m being the slope. You can plug the values from the problem into the formula:
(y-5)=-4(x+2)
y-5=-4x-8
y=-4x-3
hope this helps! :)
Determine if the equations are intersecting, parallel, or coincident.
4x +y=-4
–8x – 2y = 10
Answer:
the equations are coincident.
Step-by-step explanation:
Answer:
Parallel
Step-by-step explanation:
The answer above me is wrong. These lines are parallel, not coincident.