A sample of restaurants in a city showed that the average cost of a glass of iced tea is $1.25 with a a standard
deviation of 7c. Three of the restaurants charge 95¢, 1.00, and $1.35. Determine the z-value for each restaurant.
Answers
Answer:
For the restaurant that charges 95 cents, the z-score is -4.29.
For the restaurant that charges $1, the z-score is -3.57.
For the restaurant that charges $1.35, the z-score is 1.43
Step-by-step explanation:
Z-score:
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.
The average cost of a glass of iced tea is $1.25 with a standard deviation of 7c.
This means that [tex]\mu = 1.25, \sigma = 0.07[/tex]
Restaurant that charges 95 cents:
The z-score is found when X = 0.95. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{0.95 - 1.25}{0.07}[/tex]
[tex]Z = -4.29[/tex]
For the restaurant that charges 95 cents, the z-score is -4.29.
Restaurant that charges $1:.
X = 1
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1 - 1.25}{0.07}[/tex]
[tex]Z = -3.57[/tex]
For the restaurant that charges $1, the z-score is -3.57.
Restaurant that charges $1.35:
X = 1.35
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1.35 - 1.25}{0.07}[/tex]
[tex]Z = 1.43[/tex]
For the restaurant that charges $1.35, the z-score is 1.43
Related Questions
What value of x would make lines land m parallel?
Answers
Answer:
[tex]x = 75[/tex]
Step-by-step explanation:
Given
See attachment
Required
The value of x that makes l and m parallel
Let the angles be ABC (See attachment 2)
[tex]\angle CAB[/tex] is corresponding to 50 degrees. So:
[tex]\angle CAB=50[/tex]
[tex]\angle ABC[/tex] is corresponding to 55 degrees. So:
[tex]\angle ABC = 55[/tex]
This means that:
[tex]\angle ABC + \angle CAB + x = 180[/tex]
[tex]50 +55 + x = 180[/tex]
Solve for x
[tex]x = 180 - 50 - 55[/tex]
[tex]x = 75[/tex]
Convert 121 days to seconds
Answers
Answer:
10,454,400 sec
Step-by-step explanation:
1Day=24hr
1hr=60min
1min=60sec
121 days=121*24*60*60=10,454,400sec
A recipe uses 214 cups of flour for a batch of cookies. Henry makes 10 batches of cookies for a bake sale. How many cups of flour does Henry need? can someone tell me the qestion
Answers
I hope this helps you answer your question.
7 cups converted to fluid ounces.
No links they don’t work
Answers
find the surface area of a square pyramid if the base area is 25 square inches and the area of each triangular side is 36 square inches
Answers
9514 1404 393
Answer:
169 square inches
Step-by-step explanation:
The surface consists of one square base and four triangles. So, the total surface area is ...
base area + 4 × triangle area = 25 in² + 4×36 in² = 169 in²
PLSS HELP ASAP! Only answer if you know pls I'm running out of points & no links to other sites or ill report you
Answers
Answer:
90-35=55
x=55
Step-by-step explanation:
Answer:
x = 55
Step-by-step explanation:
x and 35 must = 90 degrees because of the Angle Addition Postulate. So if you subtract 90 and 35, you get x.
Look at the cylinder.
The cylinder is sliced in half, as shown by the dotted line.
Which shape is the cross section that is formed?
circle
cone
O rectangle
O sphere
Answers
rectangle for sure my teacher told me
Bill is renovating this house.
Bill measures the length of the front of the house.
The length is most likely to
1.440 m
O
14,40 m
14.40 mm
144.0 m
1440 mm
Scroll to read more »
Answers
9514 1404 393
Answer:
14.40 m
Step-by-step explanation:
A typical suburban home site in the US might have a width between 15 and 50 meters. So, the front of Bill's house is most likely to be about 14.4 m, of the choices offered.
Do the ratios 9/10 and 2/4 form a proportion?
Answers
Answer:
Do the ratios 9/10 and 2/4 form a proportion?anation:
Step-by-step expl
Answer:
no bestie
Step-by-step explanation:
I will give brainliest
You want to put a stake every metre around the perimeter of a square plot that measures 100 metres on every side. How many stakes will you need?
Answers
400/1=400
You will need 400 stakes
The number of stakes that you need to be required should be 400 stakes.
Calculation of the number of stakes:Since You want to put a stake every metre around the perimeter of a square plot that measures 100 metres on every side.
So here the square does have 4 sides
So,
= 100 (4)
= 400
hence, The number of stakes that you need to be required should be 400 stakes.
Learn more about perimeter here: https://brainly.com/question/24891826
Ling and her family ordered takeout that cost $50. Ling paid 4% sales tax and left a 10% tip
Answers
Answer:
$47
Step-by-step explanation:
Given data
Cost= $50
Tax= 4%
Tip= 10%
Let us find the amount of the Tax
=4/100*50
=0.04*50
=$2
Let us find the amount of the Tip
=10/100*50
=0.1*50
=$5
Hence the total amount is
=50+2-5
=52-5
=$47
If a cylinder has a height of 5 and a volume of 98, what is the radius to the nearest tenth?
Answers
Answer:
r ≈ 2.5
Step-by-step explanation:
98 = 5(πr^2)
divide 5 by both sides
19.6 = πr^2
divide π by both sides
6.2388 = r^2
square root both sides
r = 2.49777
r ≈ 2.5
The quadratic formula gives which roots for the equation 2x^2 + x - 6 = 0?
Answers
Answer:
The roots are [tex]x = (\frac{3}{2}, -2)[/tex], which is given by option C.
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]
[tex]\Delta = b^{2} - 4ac[/tex]
In this question, we have that:
[tex]2x^2 + x - 6 = 0[/tex]
Which is a quadratic equation with [tex]a = 2, b = 1, c = -6[/tex]. So
[tex]\Delta = 1^{2} - 4*2(-6) = 1 + 48 = 49[/tex]
[tex]x_{1} = \frac{-1 + \sqrt{49}}{2*2} = \frac{6}{4} = \frac{3}{2}[/tex]
[tex]x_{2} = \frac{-1 - \sqrt{49}}{2*2} = \frac{-8}{4} = -2[/tex]
So the roots are [tex]x = (\frac{3}{2}, -2)[/tex], which is given by option C.
Which of the following theorems verifies that ABC ~ STU?
Answers
Answer:
B. AA
Step-by-step explanation:
The diagram given shows that two angles in ∆ABC are congruent to two corresponding angles in ∆STU.
Invariably, the third unknown angle of both triangles would also be equal going by the third angle theorem.
Thus, based on the AA Similarity Theorem which says that two triangles are similar to each other if two corresponding angles of one is congruent to two angles in the other, ∆ABC ~ ∆STU.
(−5g5h6)2(g4h2)4
i need the simplified answer asap plz
Answers
Answer:
-40g^{9}h^{8}
Step-by-step explanation:
Name the coordinates of P(-8, 3) under a reflection across the y-axis.
Answers
Answer:
(8,3)
Step-by-step explanation:
Hello There!
This is the rule for reflection over y axis:
(x,y) -----> (-x,y)
So if the point (-8,3) we're to reflect over the y axis then the x value would stay the same but the sign would flip
So instead of -8 it would be +8
The y value does not change so the new coordinates would be
(8,3)
You hit a tennis ball with an initial vertical velocity of 25 m/s. The ball leaves the tennis racket 2 meters above the ground, h_o. How much time does your opponent have before the ball hits the ground on the other side of the net, h(t)? Use h(t) = -5t^2 + v_0t + h_0 where h(t) is the height of a tennis ball being hit h_0 is the initial height v_0 is the velocity in meters/second after time (t) in seconds
Answers
Answer:
here
Step-by-step explanation:
Solving a quadratic equation, it is found that your opponent has 5.08 seconds to react before the ball hits the ground on the other side of the net.
What is the quadratic equation for the ball's height?It is given by:
[tex]h(t) = -5t^2 + v_0t + h_0[/tex]
In which:
[tex]v_0[/tex] is the initial velocity of the ball.[tex]h_0[/tex] is the initial height of the ball.You hit a tennis ball with an initial vertical velocity of 25 m/s. The ball leaves the tennis racket 2 meters above the ground, hence [tex]v_0 = 25, h_0 = 2[/tex].
Then, the equation is:
[tex]h(t) = -5t^2 + 25t + 2[/tex]
It hits the ground when h(t) = 0, hence:
[tex]-5t^2 + 25t + 2 = 0[/tex]
The solutions are h = 5.08 and h = -0.08.
Since time is a positive measure, your opponent has 5.08 seconds to react before the ball hits the ground on the other side of the net.
More can be learned about quadratic equations at https://brainly.com/question/24737967
Population The world population in 2000 was approximately 6.08 billion. The annual rate of increase was about 1.26%. If this rate of increase continues, what will be the approximate world population in 2050?
Answers
Answer:
Population in 2050 = 11,369,600,000
Step-by-step explanation:
Given:
Population in 2000 = 6,080,000,000
Rate of increase = 1.26%
Find:
Population in 2050
Computation:
Number of year = 50
Population in 2050 = Population in 2000[1+r]ⁿ
Population in 2050 = 6,080,000,000[1+1.26%]⁵⁰
Population in 2050 = 6,080,000,000[1.87]
Population in 2050 = 11,369,600,000
Find the surface area of the number cube below.
Answers
Answer:
Surface area = 24 in.²
Step-by-step explanation:
Surface area of the cube = 6a²
Where,
a = length of the each side of the cube = 2 in.
Plug in the value into the formula
Surface area of the cube = 6(2²)
= 6 × 4
Surface area = 24 in.²
Find the area of the shaded region.
24 In
18 in
6 in
24 in
inches squared
Area
Answers
Answer:
180
Step-by-step explanation:
triangle: 1/2bh = 1/2 24x24 = 288
rectangle : 18x6 = 108
288-108 = 180in ^2
Area of triangle: (bh)/2
A = (24*24)/2
A = 288in^2
Area of unshaded region: LW
A = 18(6)
A = 108in^2
Area of shaded region: Area of triangle - Area of unshaded and region
A = 288 - 108
A = 180in^2
find the area of a circle if its circumference is 10 pi
Answers
Answer:
25π
Step-by-step explanation:
pi's symbol is π, which will be used sometimes to make it easier later
The circumference is equal to diameter multiplied by pi. (Diameter is the length across the circle, radius the center of the circle to an edge point aka. half the diameter, and circumference is the edge length aka. perimeter of the circle.)
We can then remove the pi off the 10, as the diameter multiplied by pi is the circumference, so the diameter is 10.
Half of 10 is 5, the radius.
The formula for area of a circle is radius squared times pi, remember easily by π r ^2
We can plug in the radius into the formula to get
π 5 ^2
And finish it by solving the square root to get
π 25
25π
6 friends are selling crafts at a show. They each need to pay $7.20 to cover the table rental. They each sell 3 items. If every item is the same price, and the 6 friends make a total of $25.20, what was the sale price of each item?
Answers
Answer:
$1.00
Step-by-step explanation:
The sales price of the items sold by the 6 friends given the total amount made is $1.40.
What is the sales price?In order to determine the sales price, divide the total amount made by the total amount of the items sold
Sales price = $25.20 / (6 x 3) = $1.40
To learn more about division, please check: https://brainly.com/question/13281206
The two-way table shows the number of sport utility vehicles with certain features for sale at the car lot. A 4-column table has 3 rows. The first column has entries third-row seats, no third-row seats, total. The second column is labeled 4-wheel drive with entries 18, 7, 25. The third column is labeled no 4-wheel drive with entries 12, 28, 40. The fourth column is labeled total with entries 30, 35, 65. What is the probability that a randomly selected car with no 4-wheel drive has third-row seats?
Answers
Answer:
a. 0.3
Step-by-step explanation:
The probability that a randomly selected car with no 4-wheel drive has third-row seats is 0.3 option (A) 0.3 is correct.
What is probability?It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
Let's suppose A is the car with no 4-wheel drive
Let's suppose B is the car with third-row seats
As we know,
P(B|A) = n(A ∩ B)/n((A)
The probability that a randomly selected car with no 4-wheel drive has third-row seats:
From the table:
n(A ∩ B) = 12
n((A) = 40
P(B | A) = 12/40
P(B | A) = 0.3
Thus, the probability that a randomly selected car with no 4-wheel drive has third-row seats is 0.3 option (A) 0.3 is correct.
Learn more about the probability here:
brainly.com/question/11234923
#SPJ6
Please help me I need help with this as quick as possible my dad is right next to me...
Answers
Answer:
there isnt a question... what do you need help with?
Answer:
.-. >_>
Step-by-step explanation:
help me please:(**********
Answers
Answer:
11.7
Step-by-step explanation:
First HK can be found via Pythagorean Theorem
6^2 + 10^2 = 36 + 100 = 136
The square root of 136 is (rounded to the nearest tenth): 11.7
GJ is congruent to HK
GJ = 11.7
You can perform 6 push-ups in 24 seconds. Write and
graph an equation that represents the relationship
between time and the number of push-ups. At this rate,
how many pushups can you perform in 2 minutes?
PLS HURRY!!!
Answers
Answer:
480 push ups
Step-by-step explanation:
24/6 = 4
meaning they are doing 4 push ups per second, this is your slope
the equation of your line is y = 4x, you can graph this using a table of values (i attached a graph tho)
2 minutes = 120s
y = 4(120)
y = 480
WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Answers
Answer:
(2, -1)
Step-by-step explanation:
because that's where the lines intersect
The solution is where the lines intersect
it's all in the photo pls help.
Answers
Answer:
Answer B
Step-by-step explanation:
Need help quick!!!!! Karl set out to Alaska in his truck the amount of fuel remaining in the trucks tank in liters as a function of distance driven is graphed how fast did
the truck consume it’s fuel
Answers
Answer:
can you plz picture the graph so my answer you correctly .
Harry’s tv plan cost 49.99 per month plus 3.49 per first run movie how many first run movies can he watch if he wants to keep his monthly bill to be a maximum of 100
Answers
Answer:
He can watch 14 first run movies to keep his monthly bill to be a maximum of $ 100.
Step-by-step explanation:
Given that Harry’s TV plan cost $ 49.99 per month plus $ 3.49 per first run movie, to determine how many first run movies can he watch if he wants to keep his monthly bill to be a maximum of $ 100, the following calculation must be performed:
100 - 49.99 = 50.01
50.01 / 3.49 = X
14.32 = X
49.99 + (3.49 x 14) = 98.85
Thus, he can watch 14 first run movies to keep his monthly bill to be a maximum of $ 100.