Answer: The range for the distribution = 30
Step-by-step explanation:
The range of the distribution is computed as :
Range = Highest data value - Lowest data value
Given, the IQs of all students at a certain prep school were obtained. The highest was 135, and the lowest was 105.
Thus, Range = 135-105 (difference between highest and lowest value)
Range = 30
Therefore, the range for the distribution = 30
Each time a component is tested the trial is a success (S) or failure (F). Suppose the component is tested repeatedly until a success occurs on three consecutive trials. Let Y denote the number of trials necessary to achieve this. List all outcomes corresponding to the five smallest possile values of Y, and state which Y value is associated with each one.
Y Outcomes
3
4
5
6
7
Answer:
[tex](a)\ \{SSS\}[/tex]
[tex](b)\ \{FSSS\}[/tex]
[tex](c)\ \{FFSSS, SFSSS\}[/tex]
[tex](d)\ \{FFFSSS, SSFSSS, SFFSSS, FSFSSS\}[/tex]
[tex](e)\ \{FFFFSSS, FFSFSSS, FSSFSSS, SSFFSSS, SFSFSSS, SFFFSSS, FSFFSSS\}[/tex]
Step-by-step explanation:
Given
[tex]S\to[/tex] Success
[tex]F\to[/tex] Failure
[tex]n \to 3[/tex] Consecutive trials until S happens
[tex]Y \to[/tex] Number of trials
For every possible outcome, the last 3 must be SSS. So, we have:
[tex](a)\ Y = 3[/tex]
The only possibility here is: [tex]\{SSS\}[/tex]
because 3 trials implies that all outcomes must be S.
[tex](b)\ Y = 4[/tex]
The only possibility here is:
[tex]\{FSSS\}[/tex]
because 4 trials implies that the first outcome must be F
[tex](c)\ Y = 5[/tex]
The possibilities are:
[tex]\{FFSSS, SFSSS\}[/tex]
because 5 trials implies that the first and the second outcomes must be FS or SF.
[tex](d)\ Y = 6[/tex]
The possibilities are:
[tex]\{FFFSSS, SSFSSS, SFFSSS, FSFSSS\}[/tex]
because 6 trials implies that the first three outcomes are: FFF, SSF and SFF
[tex](e)\ Y = 7[/tex]
The possibilities are:
[tex]\{FFFFSSS, FFSFSSS, FSSFSSS, SSFFSSS, SFSFSSS, SFFFSSS, FSFFSSS\}[/tex]
because 7 trials implies that the first three outcomes are: FFFF, FSSF and SSFF and FFSF (similar to (e))
What is the area of the figure? Round to the nearest tenth.
45 m
3 m
3 m
7.5 m
A 36.0 m2
B. 22.5 m2
C. 45.0 m2
D. 72.0 m2
Answer:
letter A
Step-by-step explanation:
This is made up of 4 triangular segments. If we assume the cross section is perpendicular then we can use the 1/2b*h formula for each piece with the given values. So we have 2 triangles with the formula: 1/2(3)*(4.5)=6.75 * 2 triangles = 13.5.
Then for the bottom 2 you have 1/2(3)*7.5=11.25, times 2 triangles =22.5
So, 13.5+22.5=36, or letter A
A carpet measures 7 meters 3 decimeters in length and 4 meters
decimeters in width. What is its area in square meters?
Answer:
29.2 metres squared
Step-by-step explanation:
because 3 decimetre equal 1 metre, 7 metres and 3 decimetre equal 7.3 metres.
now we just use the area formula to solve.
Area = Length × Width = 7.3 × 4 = 29.2 metres squared
what is three quaters of 652
Answer:
The answer is 489
Answer:
four hundred eighty-nine
Step-by-step explanation:
I multiplied 3 quarters times 652
Estimate:
89 364 What’s the answer
Answer:
A. 4
Step-by-step explanation:
364/89 = 4.089
4.089 estimated to 4
42-(32+4)+7
Evaluate the following expression
Answer:
13
Step-by-step explanation:
42 - (32 + 4) + 7 =
42 - 36 + 7 =
13
Answer:
15.
Step-by-step explanation:
Since 32 + 4 are in parenthesis, you'd do that first. 32 plus 4 equals 36, which subtracted from 42 is equal to 8. 8 plus 7 is 15. Therefore, your answer is 15.
I hope this helped, have a nice day.
Suppose Xinwei want to put a fence around a rectangular field, where the width (w) is three times the length (l). Give an expression for the perimeter of the field in terms of its length (l).
Answer:
P = 8 l
Step-by-step explanation:
Let's consider a rectangular field with dimensions:
width (w)length (l)We know that the width (w) is three times the length (l), that is,
w = 3 l [1]
We can calculate the perimeter (P) of a rectangle using the following expression.
P = 2 l + 2 w [2]
If we replace [1] in [2], we get,
P = 2 l + 2 (3 l)
P = 2 l + 6 l
P = 8 l
If h(x) = 6 – X, what is the value of (hon (10)? O 4 -2 10 If p(x) = 2x2 - 4x and q(x) = x - 3, what is (pºq)(x)? O 2x2 - 4x + 12 O 2x2 – 16x + 18 O 2x2 – 16x + 30 O 2x2 – 16x + 15
2(x2-6x+9)-4(x-3) .... Report. 10/05/20 ... Since p(x) = 2x2 - 4x, we get: 4 - 4(x-3) = 4 - 4x + 12 = -8 - 4x (assuming 2x2 ... 4x. Note ** if in the original equation "2x2" means "2 times x to the power of 2" ... No packages or subscriptions, pay only for the time you need.2 answers Top answer:
p(x) = 2x2 – 4x and q(x) = x – 3, (p•q)(x).
The value of h(10) if h(x) = 6 – X and (pºq)(x) are -4 and 2x² - 16x + 18 respectively
How to solve equationh(x) = 6 – x
h(10) = 6 - 10
= -4
If
p(x) = 2x² - 4x
q(x) = x - 3
(pºq)(x)
= (2x² - 4x) (x - 3) × 4
= 2x² - 16x + 18
Learn more about equation:
https://brainly.com/question/2972832
Solve the following linear equation for m.
2m−13=−8m+27
Answer:
4
Step-by-step explanation:
2m−13=−8m+27
2m+8m=27+13
10m=40
m=40÷10
Therefore, m=4
Answer:
2m - 13 = -8m +27
2m + 8m = 27 + 13
10m = 40
m = 4
which sentence is true iready math
Three hens can lay three eggs in three minutes? How many eggs do the hens lay in 2 hours assuming consistent
output?
assuming 2hrs is 120mins and 120mins is 7200sec divide 7200 by 3 which is 2400
Fatima has 1/2 gallon of milk. She wants to pour all the milk into 6 glasses. What fraction of a gallon should she pour into each glass?
Answer:
4/5
Step-by-step explanation:
1/2 ÷6=4/5
PLEASEEEE HELPPPP MEEEEE
plz help me without putting links or files
Answer:
Step-by-step explanation:
4(1/4) + 3/8 + 3(1/2) + 5/8 + 3/4
1 + 8/8 + 3/2 + 3/4
1 + 1 + 12/8 + 6/8
2 + 18/8
2 + 2 1/4
= 4 1/4 pounds
Please help and hurry!
Answer:
Step-by-step explanation:
radius=diameter/2
=9/2
=4.5
Answer:
4.5
Step-by-step explanation:
9= diameter and Radius= diameter divided by 2
9 divided by 2 = 4.5
What is the surface area of the square pyramid ?
Sorry question is only 8. Ok
Answer:
Hello! answer: 175 cm2
Step-by-step explanation:
9 × 7 = 63 63 ÷ 2 = 31.5 31.5 × 4 = 126
7 × 7 = 49 126 + 49 = 175 therefore the area is 175 Hope that helps! And I believe the unuts would be cm2 but don't quote me on it
If the discriminant is a positive number, the quadratic equation has 2 real solutions?
A.False
B. True
Answer: B
Step-by-step explanation:
Good Luck!
Translate into equations, but do not solve:
a The sum of two consecutive odd integers is 52?
Answer:
X + (X + 2) = 52
Step-by-step explanation:
Given that the sum of two consecutive odd integers is 52, to determine the equation that solves this problem, the following calculation must be performed:
X + (X + 2) = 52
2X + 2 = 52
X = (52 - 2) / 2
X = 50/2
X = 25
X + 2 =?
25 + 2 = 27
Therefore, the consecutive odd integers are 25 and 27.
A rectangular in ground pool needs to be filled with water. The pool is 20 feet long 9 1/2 feet wide, and 5 1/2 feet deep determin the maximum amount of water the pool can hold? PLS ANSWER IM GOING TO FAIL
Answer:
1045 ft³ of water
Step-by-step explanation:
Given :
Length = 20 feets
Width = 9 1/2 feets
Height = 5 1/2 feets
The maximum of water the pool can hold is equivalent to the volume of the pool ;
Hence, Volume = Length * width * height
Volume = 20 * 9 1/2 * 5 1/2
Volume = 1045 ft³ of water
geometry acellus i need help pretty please
Answer:
change your pfp and ill give u the answer
Step-by-step explanation:
Answer:
x = 17.5 degrees
Step-by-step explanation:
So with this, it gives you the angle measure and the terms for that angle measure for Angle EDC. Since these are equal, set them equal to each other.
2x+10 = 45
Move over the 10
2x = 35
Divide by 2
x = 17.5 degrees
That's all.
If a maximization linear programming problem consists of all less-than-or-equal-to constraints with all positive coefficients and the objective function consists of all positive objective function coefficients, then rounding down the linear programming optimal solution values of the decision variables will ________ result in a(n) ________ solution to the integer linear programming problem. never, non-optimal sometimes, optimal always, optimal
Answer:
always, feasible
Step-by-step explanation:
In a linear programming problem we find the extreme value of the linear function which is subjected to some certain constraints.
When the [tex]\text{ maximization linear programming}[/tex] consists of all the [tex]\text{less than or equal}[/tex] to constraints having the all positive coefficients and the objective functions consisting of all the objective function coefficient that is positive, then we can round the linear programming optimal solution values from the decision variables will [tex]\text{always}[/tex] result in the [tex]\text{feasible}[/tex] solution to the integer linear programming problem.
Evaluate 4x - y if x = 3 and y = 6
Answer:
The answer is 6
Step-by-step explanation:
4 (3) - 6
12 - 6
= 6.
The parallelogram shown below has an area of 54 units squared
Answer:
the height is 6 units
Step-by-step explanation:
Given that
The area of the parallelogram is 54 units squared
The base is 9 units
We need to find out the height
As we know that
The area of the parallelogram = Base × height
54 = 9 × height
So, the height is
= 54 ÷ 9
= 6 units
Hence, the height is 6 units
Answer:
You can only find the height if you know the length.
Step-by-step explanation:
Have a good day.
The following inequalities are equivalent except ...
A <3
B −1<2 C +1<3 D −2<1
Answer:
C + 1 < 3 is not equivalent.
Step-by-step explanation:
B - 1 < 2 ⇒ B < 3
C + 1 < 3 ⇒ C < 2
D - 2 < 1 ⇒ D < 3
Therefore, all inequalities are equivalent except C + 1 < 3.
(CHILL REMINDER) I know it's difficult right now, and I know you want to give up, but now isn't the time to give up. *Everything is going to be okay, I promise.*
We are here to help you...
Join Pastel Wardrobe on Roxxxblox to enter our virtual cruise and giveaways!
Answer:
thanx for the reminder
Step-by-step explanation:
have a wonderful day :)
6. A store orders 8 boxes of notebooks.
There are 144 notebooks in each box
Use breaking apart to find how many
notebooks the store ordered.
Answer: 1,152 notebooks
Step-by-step explanation:
You just do 144 x 8. I’m not really sure what they mean when they say use breaking apart method. Maybe break them up into 8 group of 144. Then just add 144 together 8 times instead of multiplying hope this helps. :)
Angle 2 equals 130 find angle 3
Answer:
180° - 130 = 50°
Step-by-step explanation:
Assuming they are adjacent: 180° - 130 = 150°
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Find the measure of angle 1
51
52
53
50°
R
54
55
P Р
56°
Answer:
53°
Step-by-step explanation:
angle 1 = ½×( 50+56) = ½×106 = 53°
What are the following of this function y = 4sin (2( x - [tex]\frac{3\pi }{4}[/tex] )) :
amplitude
minimum
maximum
period
phase shift
midline equation
Answer:
See below...
Step-by-step explanation:
For a function whose formula is in this pattern:
[tex]y=A\sin\left(B(x-C)\right)[/tex]
Amplitude: [tex]|A|[/tex]
Period: [tex]\frac{2\pi}{B}[/tex]
Phase Shift: C
In this question, [tex]A=4,\,B=2,\,C=\frac{3\pi}{4}[/tex]
Amplitude: 4
Period: [tex]\frac{2\pi}{2}=\pi[/tex]
Phase Shift: [tex]\frac{3\pi}{4}[/tex]
There is no vertical shift, so the midline is the x-axis whose equation is y = 0.
Also, because there is no vertical shift, the maximum is 4 and the minimum is -4.
The graph is attached.
If two coplanar lines are cut by a transversal so that corresponding angles are *blank*
congruent, then the lines are
(parallel/perpendicular/skew).
Answer:
parallel
Step-by-step explanation:
If two coplanar lines are cut by a transversal so that corresponding angles are congruent, then the lines are parallel
========================================================
Explanation:
This is due to the converse of the corresponding angles theorem.
Ignoring the "converse" part for now, the corresponding angles theorem says that if two lines are parallel, then the corresponding angles are congruent.
The converse swaps the order. The converse says that if two corresponding angles are congruent, then the lines are parallel.
Corresponding angles are the angles that are in the same configuration of the four-angle set up. For instance, both angles could be in the upper right corner for each X shape.
Check out the image below to see an example of what I mean.