The average time it takes a group of students to complete a certain statistics exam is 55.6 minutes. The standard deviation is 9 minutes. Assume the exam completion times are normally distributed. If 40 randomly selected students take the exam, what is the probability that the mean completion time for the group will be less than 45 minutes?
Anyone know the answer to this
Answer:
The answer is d
Step-by-step explanation:
To find out the asnwer, we need to find the value of X. First, we know that X is the same vaule in each equation so we have to find out a number can by multiplied to 9,6, and 5 and get the 3 numbers in either a,b,c, or d. 9x9=81,6x9=54, 5x9=45. These 3 answers matches the number in the choices.
In 2017, it was estimated that the average amount spent on winter holiday gifts in the United States was $906. Based on the estimate from the Waldfogel study, how much of this would be deadweight loss
Based on the estimate from the Waldfogel study, 10[tex]\%[/tex] of this would be a deadweight loss, i.e., [tex]\[/tex]90.6 would be the deadweight loss.
Deadweight loss means the economic inefficiency that takes place when the allotment of resources in a market isn't at the optimal position.
The study suggested that the average recipient's valuation of the gift received was approximately 90[tex]\%[/tex] of the actual purchase price of the gift.
This means that 10[tex]\%[/tex] of the value of the gift gets lost in between.
This loss of 10[tex]\%[/tex] in value constitutes the deadweight loss.
The average amount spent on gifts = $906
Percentage loss in value = 10[tex]\%[/tex] or 0.10
Calculation of the deadweight loss,
DWL = Average amount spent on gifts × Percentage loss in value
DWL = [tex]\[/tex]906 × 0.10
Thus, the deadweight loss would be [tex]\[/tex]90.6.
Learn more about a deadweight loss here:
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A rectangle with an area of 12 square units, what are the demensions?
Answer:
area= base(length)*height(width)
possible dimensions
4 *3, 3*4
6*2, 2*6
12*1, 1*12
Arc length and sector area question
Answer:
<aob=1/2(can + ab)
<aob=1/2(25+46)
<aob=1/2(71)
<aob=35.5
What is the 3rd equivalent fraction to 1 11 ?
SPINACH SPINACH SPINACH SPINACH SPINACH SPINACH SPINACH SPINACH SPINACH SPINACH
[tex]\int{[sin(9x)cos(9x)]} \, dx[/tex]
Recall the double angle identity,
sin(2x) = 2 sin(x) cos(x)
Then we can write
sin(9x) cos(9x) = 1/2 sin(2 • 9x) = 1/2 sin(18x)
Then
∫ sin(9x) cos(9x) dx
= 1/2 ∫ sin(18x) dx
= -1/2 • 1/18 cos(18x) + C
= -1/36 cos(18x) + C
though you could continue with another double angle identity,
cos(2x) = cos²(x) - sin²(x)
to rewrite the antiderivative as
= -1/36 (cos²(9x) - sin²(9x)) + C
= 1/36 (sin²(9x) - cos²(9x)) + C
The total distance an ant crawls varies directly with the time in seconds. The ant crawls a total distance of 160 centimeters in 20 seconds.
What is the time in seconds the ant crawls when the total distance is 216 centimeters?
8 s
11 s
25 s
27 s
Answer:
27sStep-by-step explanation:
Given data
total distance=160 cm
time taken =20seconds
We know that speed =distance/time
So let us solve for the speed of the ant
speed=160/20
speed= 8cm/s
Also when the distance is 216,and the ant uses the same speed,it will take the ant
time=distance/speed
time=216/8
time= 27seconds
Which table of ordered pairs represents a proportional relationship?
Whoever answers correctly and first-will be marked brainiest :)
Solve the equation: x + 8 = 2
Answer:
x= -6
Step-by-step explanation:
Of the last 10 contestants on a game show, 8 won a prize. Considering this data, how many of the next 20 contestants would you expect to win a prize?
what are complex numbers ??? please gyus itz urgent .....!
Explanation:
Complex numbers are numbers that have both imaginary and real number parts. Imaginary numbers occur when you take the square root of negative numbers. Here are some examples of imaginary numbers:
[tex]\sqrt{-1} = i[/tex] and [tex]\sqrt{-16} = 4i[/tex]
Real numbers are just normal numbers.
Complex numbers can be expressed generally in the form:
[tex]a+bi[/tex]
I need help with this math question
Answer:
-1/4x+3/4
or
-0.25x+0.75
Step-by-step explanation:
g(x) = mx + b
m = slope
b = initial value
m = -1/4
b = 3/4
g(x) = -1/4x+3/4
Hope this helped, let me know if you need more help!
does anyone know the answer?
Answer:
£0.60
Step-by-step explanation:
If each pack costs £1.59 and Nadia orders 15 packs,
then the total order before discount = 1.59 x 15 = £23.85
From the table given, we can see that for an order of £23.85 a 2.5% discount will be applied.
Divide £23.85 by 100 to get 1%: £23.85 ÷ 100 = £0.2385
Now multiply by 2.5 to get 2.5%: £0.2385 × 2.5 = £0.59625 = £0.60
Alternatively, the calculation in one expression is:
(1.59 × 15) × 0.025 = 0.59625
wo mechanics worked on a car. The first mechanic charged $95 per hour, and the second mechanic charged $75per hour. The mechanics worked for a combined total of 20 hours, and together they charged a total of $1800. How long did each mechanic work?
Answer:
he first one worked 15 hours, the second one worked 5 hours.
Step-by-step explanation:
First mechanic worked x hours, then second one worked 20 - x hours
First one charged $95*x, second one charged $75*(20-x)
Total charge = 95x + 75(20 - x) = 1800
95x + 1500 - 75x = 1800
20x = 300
x = 15, 20 - x = 5
So the first one worked 15 hours, the second one worked 5 hours.
Find the equation of a line that passes through the point (0,4) and has a gradient of 2.
Leave your answer in the form
y
=
m
x
+
c
Answer:
[tex]y = \frac{x}{2} + 4[/tex]
Can someone PLS HELP
Answer: 72 square feet
Step-by-step explanation: just multiply 8* 7 = 56 then 8*2 = 16 and add = 72
Two numbers have a distance of four units from zero on a number line the numbers can be graphed on the number line as points a and B dragon drop the labels to the correct position on the number line (25 points!!!!!!)
2x+y=5
Liner or non linear and why
If a function is non-linear, there must be an exponent in the equation. For example, [tex]x^{2}[/tex] or [tex]x^{3}[/tex].
Since this function has no exponent attached to the x-variable, we can assume this function is linear.
What is the value of 17^0
Answer:
1
Step-by-step explanation:
Anything to the exponent of 0 is 1.
2/5×6/7= in simplist or mixed form
Answer:
2/5x6/7 = 12/35
Step-by-step explanation:
when we multiply fractions we multiply the denominators together and the numerators as well, so 2 x 6 = 12. and 5 x 7 =35
12/35
A triangle has vertices at R(1, 1), S(–2, –4), and T(–3, –3). The triangle is transformed according to the rule R0, 270°. What are the coordinates of S'?
(–4, 2)
(–2, 4)
(2, 4)
(4, –2)
Answer:
(-4,2)
Step-by-step explanation:
Knowing that/Given that:
The vertices of the triangle are rotated about the origin by 270° counter-clockwise.
In Addition, This transformation changes the co-ordinate (x,y) to (y,-x).
Before (x,y) After ( y, - x)
Vertices New vertices after 270° rotation
R= (1,1) R' = (1,-1)
S= (-2,-4) S' = (-4,2)
T= (-3,-3) T' = (-3,3)
Hence, the answer is (-4,2)
~Lenvy~
What measure would you use to compare the middle 50% wait times for cars in two different car wash locations?
Explain.
Answer:
what is the answer i dont know you tell him to ask another person because i m back bencheer
What is the value of x in this triangle?
Enter your answer as a decimal in the box. Round only your final
answer to the nearest hundredth. 5, 20, x
Answer:
[tex]\sf x= 14.04^{\circ \:}[/tex]
using tan rule:
[tex]\sf tan(x)= \dfrac{opposite}{adjacent}[/tex]
solve:
[tex]\rightarrow \sf tan(x)= \dfrac{5}{20}[/tex]
[tex]\rightarrow \sf x= tan^{-1}(\dfrac{5}{20})[/tex]
[tex]\rightarrow \sf x= 14.04^{\circ \:}[/tex]
Answer:
x = 14.04° (nearest hundredth)
Step-by-step explanation:
Use the tan trig ratio:
[tex]\mathsf{\tan(\theta)=\dfrac{O}{A}}[/tex]
where:
[tex]\theta[/tex] is the angleO is the side opposite the angleA is the side adjacent the angleGiven:
[tex]\theta=x[/tex]O = 5A = 20[tex]\implies \mathsf{\tan(x)=\dfrac{5}{20}}[/tex]
[tex]\implies \mathsf{x=\arctan\left(\dfrac{5}{20}\right)}[/tex]
[tex]\implies \mathsf{x=14.04\textdegree \ (nearest \ hundredth)}[/tex]
Find the length of cable 1 in the diagram below
Answer:
cable 1 ≈ 54.63 ft
Step-by-step explanation:
using Pythagoras' identity in the right triangle having cable 1 as its hypotenuse.
let cable 1 be x , then
x² = 22² + 50² = 484 + 2500 = 2984 ( take square root of both sides )
x = [tex]\sqrt{2984}[/tex] ≈ 54.63 ft ( to 2 dec. places )
The standard unit of measurement for length is the:
mile
centimeter
meter
yard
Answer:
meter (m) is the standard unit measurement for length .
Answer:
it is meter just to let yall know
Step-by-step explanation:
Lines M and N are parallel. Find the measure of ∠b.
Answer:
Angle(b)= 79°
Step-by-step explanation:
Because M and N are parallel so the answer is 79°
Also see the angle is less than 90°
Please answer this question I don't have time please.
Answer:
The juice bar can sell 3 more cups of the passion juice than the berry juice (last one)
Step-by-step explanation:
Passion: 768/16=48
Berry: 810/18=45
passion can fill 48 cups while berry can fill 45 cups, so passion fills +3
:)
A controlled operation that yields a set of results is called a
Answer:
is called a controlled operation
Step-by-step explanation:
that's what its called i just know
⅚ times ¾ simplified
Answer:
[tex]\frac{5}{8}[/tex]
I hope this helps!
Answer:
[tex]\frac{5}{8}[/tex]
Step-by-step explanation:
to multiply fractions, multiply the numerators together then the denominators.
5 * 3 = 15
6 * 4 = 24
15/24
now simplify that fraction.
15/24
divide both sides by 3
5/8