Answer:
Incomplete question, but you use the normal distribution to solve it, with [tex]\mu = 23.5[/tex] and [tex]\sigma = 3.6[/tex]
Step-by-step explanation:
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.
The average waiting time to be seated for dinner at a popular restaurant is 23.5 minutes, with a standard deviation of 3.6 minutes.
This means that [tex]\mu = 23.5, \sigma = 3.6[/tex]
Thus
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{X - 23.5}{3.6}[/tex]
Find the probability that the patron will have to wait:
More than X minutes:
1 subtracted by the p-value of Z
Between A and B minutes:
p-value of Z when X = A subtracted by the p-value of Z when Z = B.
Less than X minutes.
p-value of Z.
.
Simplify the expression.
(–2 – c )(–1)
Answer:
=c+2
Step-by-step explanation:
7. Solve:
The product of 5, and 3 more
than twice a number, is 85.
What is the number?
Answer:
38.5
Step-by-step explanation:
let x = the number
5+2x+3=85
2x=77
x=38.5
The function f(x) = –x2 – 4x + 5 is shown on the graph. On a coordinate plane, a parabola opens down. It goes through (negative 5, 0), has a vertex at (negative 2, 9), and goes through (1, 0). Which statement about the function is true? The domain of the function is all real numbers less than or equal to −2. The domain of the function is all real numbers less than or equal to 9. The range of the function is all real numbers less than or equal to −2. The range of the function is all real numbers less than or equal to 9.
Answer:
the range of the functions is all real numbers less than or equal to 9
Wyatt scored 104 points in a trivia game. He correctly answered 26 questions during the game. How many points did he score per question?
PLEASE DONT ONLY WRITE THE ANSWER ALSO WRITE HOW TO GET IT PLS I WILL GIVE BRAINLIEST
Answer:
4
Step-by-step explanation:
- the rule is: (number_of_questions)*(points_per_question)=total_score.
- according to the rule above: 26*(points_per_question)=104, then
points_per_question=104/24=4.
$8.35
D $9.35
42. A museum announces that it has just
had its 1.326,871 visitor. What is the
value of the digit 6 in 1,326.871?
А
6.000
B
60.000
600.000
D 6.000.000
Answer:
6000
Step-by-step explanation:
The Value of 6 is in the thousands column
I don’t know how to do this
Answer:
Alrighty, let me help.
Step-by-step explanation:
2 2/9 - 1 1/3 = x
X = 8/9
Answer = 8/9 or the 3rd option.
Answer:
8/9
Step-by-step explanation:
2 2/9 - 1 1/3
The probability of picking a red marble from a bag is 38. If Sarah picks a marble from the bag 64 times (replacing the marble with each draw), how many times should she expect it to pick a red marble?
Find the z value to the right of the mean so that:________.
a. 54.78% of the area under the distribution curve lies to the left of it.
b. 69.85% of the area under the distribution curve lies to the left of it.
c. 88.10% of the area under the distribution curve lies to the left of it.
Answer:
a) z = 0.12
b) z = 0.52
c) z = 1.18
Step-by-step explanation:
The z values is the area under the curve lying to its left
a) Hence, P (Z<z) = 0.5478
Taking the value of z from the standard normal table, we get -
z = 0.12
b) P (Z<z) = 0.6985
Taking the value of z from the standard normal table, we get -
z = 0.52
c) P (Z<z) = 0.8810
Taking the value of z from the standard normal table, we get -
z = 1.18
On a particular day, the wind added 3 km per hour to Alfonso's rate when he was cycling with the wind and subtracted 3 km per hour from his rate on his return trip. Alfonso found that in the same amount of time he could cycle 36.5 km with the wind, he could go only 24 km against the wind. To the nearest whole number, what is his normal bicycling speed with no wind?
Answer:
31 km?
Step-by-step explanation:
Answer: a) 15 km/h
Step-by-step explanation: Trust me bro
Multiply. (3x - 2) (2x + 6)
Answer:
the answer is 6ײ+14x-12
how do you do this equation?
Answer:
y = 2x + 2
Step-by-step explanation:
General point-slope form:
point = (x1,y1) = (1,4)
slope = m = 2
y-y1 = m(x-x1)
Substitute values
y - 4 = 2 (x-1)
y = 2x -2 + 4
y = 2x + 2
convert 1 to 1000 in roman numbers
4. One bag of marbles contains 2 black, 3 red , and 5 white marbles. A second bag contains 3 white and 2 black marbles. What is the probability of selecting one marble from each bag and that both are white ?
Answer:
not too sure
Step-by-step explanation:
What the answer pls I suck at this just in the answer please thank you
Answer:
108 because the full measurements is 180
Step-by-step explanation:
Answer:
54°
Step-by-step explanation:
All angles in triangle add up to 180°.
180° - 72°= 108°
108°/ 2= 54°
Find the surface area of the prism. Round the final decimal answer to the nearest tenth if necessary.
Answer:10.6
Step-by-step explanation:
Multiply: –5 × (–3) × 7
Answer:
the ans is 105...........
Answer:
105
Step-by-step explanation:
-5*-3=15
15*7=105
This year, a small business had a total revenue of $18,700. If this is 15% less than their total revenue the previous year, what was their total revenue the previous year?
Answer:
The business's total revenue the previous year was $22,000.
Step-by-step explanation:
Since the business's revenue is 15% less than it was the previous year, we can subtract that 15% from 100% to see what percentage of last year's revenue is the business getting now.
100% - 15% = 85%
So the business is getting 85% of what it got last year. We also know that this small business is getting $18,700 this year.
So really, this question is asking 18,700 is 85% of what?
Y = P% of WHAT?
18,700 = 85% of X
18,700 = 0.85 · X
Now that we have set this equation up, we solve for x. To get x alone, you must divide by 0.85 on both sides.
18,700 ÷ 0.85 = 0.85 · X ÷ 0.85
Simplified, this is 22,000 = X
So their total revenue the previous year was $22,000.
This is not the only way to do this - there are others, but this is one of the easiest to understand is more efficient.
Answer:
$21,505
Step-by-step explanation:
$18,700×115%=$18,700×115/100
=$21,505
y = 2x - 14
x + y = 1
135 pencils were to be packed into boxes. Each box could take 12 pencils. find the number of boxes fully packed
Answer:
11 boxes are packed fully
8g=36 solve for the variable
Answer:
g = 4.5
Step-by-step explanation:
8g = 36
g = 36/8
g = 4.5
3t-s/4=8s what is s in terms of t?
Answer:
s = 12t/33
Step-by-step explanation:
multiply through by 4 In order to remove the denominator from the equation
12t - s = 32s
making s the subject
32s + s = 12t
33s = 12t
s = 12t/33
The first term of a G.P are as follows: m, m2 +4, 16m. Find the 5th term.
Answer:
512
Step-by-step explanation:
To effectively answer the question, let us calculate the value of m. This can be obtained as follow:
m, (m² + 4), 16m
1st term (T₁) = m
2nd term (T₂) = m² + 4
3rd term (T₃) = 16m
Common ratio = T₂/T₁ = T₃/T₂
(m² + 4) / m = 16m / (m² + 4)
Cross multiply
(m² + 4)(m² + 4) = m × 16m
(m² + 4)² = 16m²
Take the square root of both side
√[(m² + 4)²] = √(16m²)
m² + 4 = 4m
Rearrange
m² – 4m + 4 = 0
Solving by Factorisation
m² – 2m – 2m + 4 = 0
m(m – 2) – 2(m – 2) = 0
(m – 2)(m – 2) = 0
(m – 2)² = 0
Take the square root of both side
m – 2 = 0
m = 2
Thus,
1st term (T₁) = m = 2
2nd term (T₂) = m² + 4 = 2² + 4 = 8
3rd term (T₃) = 16m = 16 × 2 = 32
The sequence => m, (m² + 4), 16m
Becomes
2, 8, 32
Finally, we shall determine the 5th term. This can be obtained as follow:
1st term (a) = 2
Common ratio (r) = 2nd / 1st = 8/2 = 4
5th term (T₅) =?
T₅ = ar⁴
T₅ = 2 × (4)⁴
T₅ = 2 × 256
T₅ = 512
Therefore, the 5th term is 512
Solve 2(x+5)=18+xanswer?!
Answer:
x=4
Step-by-step explanation:
1. Divide both sides of the equation by 2
x+5=9
2. Move the constant to the right -hand side and change its sign
x=9-5
3. Subtract the numbers
x=4
Calculate the price relative
Answer:
146.3
Step-by-step explanation:
The price relative is the product of 100 and ratio of the current price to the base price. It is given as:
[tex]Price\ relative=\frac{P_n}{P_o}*100\\\\Where\ P_n\ is\ the \ price\ of\ commodity\ in\ the\ current\ period\ while\ P_o\ is\\the\ price\ of\ commodity\ in\ base\ period.[/tex]
Given that the base price is the truck cost in 2008 = $27000 and the current price is the price of the truck in 2012 = $39500. Hence:
Price relative = ($39500 / $27000) * 100 = 146.3
Therefore the price relative is 146.3
Do the ratios 8/ 5 and 11 /6 form a proportion?
Answer:
no they don't
hope this helps
have a good day :)
Step-by-step explanation:
What is the probability that the sun will be hot next hour
Answer:
100%
Step-by-step explanation:
its always very very hot.
Find the exact value of tan 60° in simplest form with a rational denominator.
Step-by-step explanation:
We need to find the exact value of tan 60° in simplest form with a rational denominator.
We know that, [tex]\tan\theta=\dfrac{\sin \theta}{\cos\theta}[/tex]
Here, [tex]\theta=60^{\circ}[/tex]
So,
[tex]\tan(60)=\dfrac{\sin (60)}{\cos(60)}\\\\=\dfrac{\dfrac{\sqrt3}{2}}{\dfrac{1}{2}}\\\\=1.73\\\\or\\\\=\dfrac{173}{100}[/tex]
Hence, this is the required solution.
What is the value of x in the figure below? If necessary, round your answer to
the nearest tenth of a unit.
X
12
D 4 B
A. 3.1
O
B. 12
C. 6.9
O D. 4
Answer:
O A. 3.1
Step-by-step explanation:
it's correct if I'm rwong (*´ω｀*)
Answer: The answer is C. 6.9
Step-by-step explanation:
Describe & correct the error in writing the statement of the tangent ratio for the given figure
Answer:
Step-by-step explanation:
tan k=opposite /adjacent
tan k=32/24
The correct statement of the tangent ratio for the given figure is,
⇒ tan k = 32 / 24
What is mean by Triangle?A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees
Given that;
A triangle is shown in figure.
Now, By figure of triangle;
tan k = Opposite / Base
tan k = 32 / 24
Thus, The correct statement of the tangent ratio for the given figure is,
⇒ tan k = 32 / 24
Learn more about the triangle visit;
brainly.com/question/1058720
#SPJ2
What is the surface area? I need help help
Surface Area=2400
Step-by-step explanation:
To find the surface area we need to use this formula: Surface Area=6a^2
Where a is the side lengths that are being provided by the cube, now we plug in 20 as a into the formula.
Surface Area=6(20)^2
Surface Area=6(400)
Surface Area=2,400
Hope I helped, have a nice day :)
Answer:
2400
Step-by-step explanation:
[tex]SA = 2(lw + lh + wh) = 2(20^2 + 20^2 + 20^2) = 2(3 * 20^2) = 2(3 * 400) = 2 * 1200 = 2400[/tex]