Answer:
Q1 a) 0.9545
b) 0.02275
c) 0.97725
Q2 z is approximately equal to -1.466
Step-by-step explanation:
Q1 The given information are;
The mean time to commute to work = 24.4 minutes
The standard deviation = 6.5 minutes
a) The z-score for 11.4 is given as follows;
[tex]Z=\dfrac{x-\mu }{\sigma }[/tex]
Where;
x = Observed value 11.4
μ = The mean = 24.4 minutes
σ = The standard deviation = 6.5 minutes
[tex]Z=\dfrac{11.4-24.4 }{6.5 } = -2[/tex]
The z-score for 37.4 is given as follows;
[tex]Z=\dfrac{37.4-24.4 }{6.5 } = 2[/tex]
-2 < z < 2, which gives, from the z-score table;
The probability of commute time to be between 11.4 minutes and 37.4 minutes = 0.97725 - 0.02275 = 0.9545
b) From the z-score table, the probability that the commute time to be less than 11.4 minutes = The probability at z = -2 = 0.02275
c) From the z-score table, the probability that the commute time to be greater than 37.4 minutes = The probability at z = 2 = 0.97725
Q2 The the z-score that corresponds to a commute time of 15 minutes is given as follows;
[tex]Z=\dfrac{x-\mu }{\sigma }[/tex]
[tex]Z=\dfrac{15-24.4 }{6.5 } = -\dfrac{94}{65} \approx -1.466[/tex]
Which list shows these numbers in order from least to greatest?
Answer:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15...
Answer:
Put the negatives 1st the then positives... assuming thats what it is
Step-by-step explanation:
Anna buys 12 pens and 20 pencils for a total of $16. One pen costs $0.40 more than one pencil. What would 1 pen and 1 pencil cost?
Answer:one pencil would be $0.56
Step-by-step explanation:
Answer:
Step-by-step explanation:
7. Evaluate this expression if x=-2*
3x2 - 4x
Need help ASAP Please
Answer:
20
Step-by-step explanation:
Evaluate 3 x^2 - 4 x where x = -2:
3 x^2 - 4 x = 3×(-2)^2 - -2×4
Hint: | Evaluate (-2)^2.
(-2)^2 = 4:
3×4 - 4 (-2)
Hint: | Multiply 3 and 4 together.
3×4 = 12:
12 - 4 (-2)
Hint: | Multiply -4 and -2 together.
-4 (-2) = 8:
8 + 12
Hint: | Evaluate 12 + 8 using long addition.
| 1 |
| 1 | 2
+ | | 8
| 2 | 0:
Answer: 20
Myra saved $15 a month for 18 months. She bought a book for $46.50 and a tennis racquet for $129.95. How much does she have left? A. $93.55 B. $140.05 C. $186.55
Answer:
A
Step-by-step explanation:
15*18=270.
270-46.50=223.5
223.5-129.95=93.55.
A. $93.55
3 t-shirts and 2 hats costs £14.
2 t-shirts and 7 hats costs £15.
Find the cost of a t-shirt.
Find the cost of a hat.
Describe two real-world advantages of representing quantities using scientific notation. Explain
Answer:
Scientific Notation is so useful in many ways
It makes it easier to deal with because the long numbers are converted into smaller numbers. Like for example, 0.000000000000000000000000000000000000000000045 is converted into 4.5*10^44. Isn't that MUCH MORE simpler?!?!??!
It is also used to find masses, for example, like some metals or substances that have a really smaller mass.
You are creating identical picnic basket using 30 sandwiches and 42 apples. What is the greatest number of basket that you can fill using all of the food?
Answer:
Step-by-step explanation:
30: 1, 2, 3, 5, 6, 10, 15, 30
42: 1, 2, 3, 6, 7, 14, 21, 42
greatest number of fill using all of the food is 6
What is the median of the following numbers: 100, 99, 81, 99, 86.
Need help? Click here.
93
99
0465
None of the other answers are correct
Answer:
its 99
Step-by-step explanation:
because it is the middle of your set after you arrange them in order from least to greatest
A stone is dropped into a barrel of water and sinks to the bottom. The ball is completely covered by water. By how much does the water rise in the barrel? I WILL GIVE BRAINLIEST!!! PLEASE HELP!!!
Answer:
Answer: 5/12 or approx. 0.42
Step-by-step explanation:
The ball will displace as much water as its volume.
Meaning, the volume of the ball and the volume of the increase in water in the barrel will be equal.
Volume of a sphere:
[tex]V_s=\frac{4}{3} \pi r^3[/tex]
The radius is half the diameter. The diameter of the sphere is 10, thus:
[tex]r = d/2 = 10/2 = 5[/tex]
5^3 = 5*5*5 = 25*5 = 125
[tex]V_s=\frac{4}{3} \pi * 5^3=\frac{4}{3} \pi * 125[/tex]
The volume of a cylinder, which will be the shape of the increase in water, is the following:
[tex]V_c=\pi r^2 h[/tex]
We know the radius r, as we know the diameter.
[tex]r=d/2=40/2=20[/tex]
[tex]V_c=\pi r^2 h=\pi h * 20^2 = \pi h * 400[/tex]
We are looking for the height of the cylinder, h, as that will be the height of the water rise.
Since we know these 2 volumes are the same, we'll set them equal to each other and solve the equation:
[tex]V_s = V_c[/tex]
[tex]\frac{4}{3} * 125 * \pi = 400 * h * \pi[/tex]
We can get rid of pi by dividing both sides by pi:
[tex]\frac{4}{3} * 125 = 400 * h[/tex]
And now divide both sides by 400:
[tex]\frac{4}{3} * \frac{125}{400}= h[/tex]
Just reversing it and putting h to the left:
[tex]h = \frac{4}{3} * \frac{125}{400} = \frac{4 * 125}{3 * 400}[/tex]
I see that I can divide both the numerator and the denominator by 4:
[tex]h =\frac{125}{3 * 100}= \frac{125}{300}[/tex]
I'll now divide both the numerator and the denominator by 25 to simplify the expression:
[tex]h=\frac{125}{300} =\frac{125 / 25}{300 / 25} = \frac{5}{12}[/tex]
Answer: The water rises by 5/12 (five twelfths).
If I want an approximate decimal answer, I can simply run this expression in a calculator:
[tex]\frac{5}{12}[/tex] ≈ [tex]0.416666667[/tex] ≈ [tex]0.42[/tex]
The amount of water rise is 0.42 and this can be determined by using the formula of the volume of the sphere and the cylinder.
Given :
A stone is dropped into a barrel of water and sinks to the bottom.
The ball is completely covered by water.
The following steps can be used in order to determine the water rise in the barrel:
Step 1 - The formula of the volume of a sphere is used in order to determine the water rise in the barrel.
Step 2 - The volume of a sphere is given below:
[tex]\rm V_s=\dfrac{4}{3}\times \pi \times r^3[/tex]
Step 3 - Substitute the values of the known terms in the above expression.
[tex]\rm V_s=\dfrac{4}{3}\times \pi \times \left(\dfrac{10}{2}\right)^3[/tex]
Step 4 - Simplify the above expression.
[tex]\rm V_s = \dfrac{4}{3}\times \pi \times 125[/tex] --- (1)
Step 5 - The volume of the cylinder is given below:
[tex]\rm V_c= \pi\times \left(\dfrac{40}{2}\right)^2\times h[/tex] --- (2)
Step 6 - Equate expression (1) and (2) in order to determine the value of 'h'.
[tex]\dfrac{4}{3}\times \pi \times 125= \pi \times 400 \times h[/tex]
Step 7 - Simplify the above expression.
[tex]\rm h = \dfrac{4\times 125}{3\times 400}[/tex]
h = 0.42
For more information, refer to the link given below:
https://brainly.com/question/16924154
what is the unit rate of the number of miles driven per number of hours of driving
Answer:
35 miles per hour
Step-by-step explanation:
Answer:
35 miles
Step-by-step explanation:
c took the test on edg
Show all work to multiply quantity 3 plus the square root of negative 16 end quantity times quantity 6 minus the square root of negative 64 end quantity
Plus means addition and square root means √
3 plus the square root of negative 16: 3 + √-16
Minus means subtraction and square root means √
6 minus the square root of negative 64: 6 - √-64
Its asking you to multiply both quantities.
(3 + √-16) * (6 - √-64)
Best of Luck!
Answer:
18-32i^2
Step-by-step explanation:
3 + the negative square root of 16 would simplify to 4i
so it will be (3+4i)
6 - the negative square root of 64 would simplify into 8i
so it will be (6-8i)
To solve (3+4i)(6-8i) use FOIL and add like terms
hi can someone help please
Answer:
put ur protactor from the middle to where its up to then look at where the line is and you will get your answer
Answer:
Step-by-step explanation:
1. PQR is an equilateral triangle formed by 3 diagonals of the cube. Therefore, it would be 60 degrees. 2. An angle which measures less than 90° is called an acute angle. The measure between 0° to 90°. In the picture below, the angle formed by the intersection of PQ and QR at Q forms an angle PQR which measures 45°. Thus, PQR is called an acute angle.
AB=1cm and AC=3cm. Find the radius of the circle. (Problem Number 13)
Answer:
2cm
Step-by-step explanation:
AB= 1cm
AC= 90°
OB= 180°
OB= 2cm
To find OA= 2 divide 2
= 1cm
AB+OA= 2CM
f(x) = 5x3 + 2x2 + 7x – 3
Answer:
Step-by-step explanation:
f= 7x+16 over x
Which expression simplifies to 4v13?
Answer:
Step-by-step explanation:
It’s v208
A teacher wrote the number 24 on the board, then the answer choices below. Which of the answer choices does not contain the number 2?
a. irrational numbers
b. integers
c. Natural Numbers
d. Whole Numbers
Answer:
a. irrational numbers
Step-by-step explanation:
Answer:
Irrational numbers does not contain the number 2(or 24, depending on if that last bit was a typo or not).
3(x - 5) + 6(x+1)=9
Answer:
x=2
Step-by-step explanation:
plz mark as brainliest
Identify the function type that best models the data.
ху
Exponential
42
8 6
12 18
16 54
6 less than a number t?
Answer:
t-6
Step-by-step explanation:
listen to how the statement is worded, it will help with other problems like this.
A blue light flashes every 8 seconds. A red light flashes every 12 seconds. Both lights have just flashed together. After how many seconds will both lights flash together?
The blue and red light will flash together after every 24 seconds.
What is LCM ?
LCM is the Least Common Multiple of at least two numbers, It is the smallest number that will be completely divisible by both the numbers.
The blue light flashes every 8 seconds
The red light flashes every 12 seconds
The time at which they will flash together can be determined by finding their LCM
LCM of 8 and 12 is 24.
Therefore, after every 24 seconds, they will flash together.
To know more about LCM
https://brainly.com/question/20739723
#SPJ2
whats 9+2= plz get it right
Answer:
11
Step-by-step explanation:
9+2=11
2) 23 and 24 are complementary angles. If m 23 = (x + 24)º and m 24 = (x )º, then
find the measures of these angles,
Answer:
m<23 = 57° & m<24= 33°
Step-by-step explanation:
You have to create an equation that equals 90°.
(x+24)+x=90
2x+24=90
2x=66
x=33
m<23 = 33+24= 57° so m<23= 57°
m<24= 33°
Use the grouping method to factor this polynomial.
x2 + 2x2 +12x + 24
M
Answer:
B. (x² + 12)(x + 2)
Step-by-step explanation:
Step 1: Write expression
x³ + 2x² + 12x + 24
Step 2: Group and factor
x³ + 2x² → x²(x + 2)
12x + 24 → 12(x + 2)
Step 3: Combine factors
(x² + 12)(x + 2)
A costume designer sewed 4 rows of 16 sequins on a princess costume, 5
rows of 15 sequins on a butterfly costume, and 3 rows of 17 sequins on a
ballerina costume. How many more sequins, s, did the designer sew on
the costume with the most sequins than she sewed on the costume with
the least sequins?
Answer:
24
Step-by-step explanation:
Kenny has the following data:
4 1 b 4.
If the range is 6, which number could b be?
7
41
Answer:
7
Step-by-step explanation:
If range is 6 then the difference between highest and lowest is 6 so 1 + 6 = 7 so b is equal to 7.
I give you brainiest!
Answer:its 42
Step-by-step explanation:
Y=42
Answer:
Step-by-step explanation:
Y = - x + 7
Y = - (-1) + 7
Y = 8
It costs $10 to get into a carnival. It costs an
additional $2 for each ride you go on. If you paid
a total of $36 at the carnival, how many rides did
you go on?
Answer:
13
Step-by-step explanation:
36-10=$26 spent on rides
26/2=13
Pls help in this 6 problems
Watermelon is on sale for $4 per pound. How much would 12.8 pounds cost?
Answer:
$51.2
Step-by-step explanation:
4 x 12.8 = 51.2
In each sack, there are 10 bags. In each bag, there are 5 pouches. Which number completes the equation that relates p, the number of pouches, and s, the number of sacks?
Answer: p = 50 s
Step-by-step explanation:
Given: In each sack, there are 10 bags. In each bag, there are 5 pouches.
i.e. Total pouches in each sack = (Number of bags in each sack) x (Number of pouches in each each bag)
= 10 x 10 =50
Let p = number of pouches, and s= the number of sacks
Then, Number of p pouches in s sacks will be given by-
p = 50 s , which is the required equation.
