Answer:
The probability that a randomly selected adult has an IQ less than 140 is 0.9772
Step-by-step explanation:
Given:
Standard deviation: σ=20
Mean: μ=100
P(X<140)=?
Calculate:
normalcdf(lower,higher,μ,σ) = normalcdf(0,140,100,20) = 0.9772496509 ≈ 0.9772 ≈ 97.72%
factorize completely the expression(h+2k)²+4k²-h²
Answer:
[tex]\rm 4k(2k+ h)[/tex]
Step-by-step explanation:
A expression is given to us and we need to factorise it . The given expression is ,
[tex]\rm\implies (h+2k)^2+4k^2-h^2[/tex]
Open the brackets using the identity, (a +b)² = a² + b² + 2ab , we have ;
[tex]\rm\implies h^2+4k^2+4hk + 4k^2 - h^2 [/tex]
Simplify ,
[tex]\rm\implies 8k^2+4hk [/tex]
In the above expression 4k is common in both the terms , so that ,
[tex]\rm\implies \boxed{\pink{\frak{ 4k(2k+h) }}}[/tex]
The expression factorized completely is (h +2k)[(h+2k) + (2k-h)]
From the question,
We are to factorize the expression (h+2k)²+4k²-h² completely
The expression can be factorized as shown below
(h+2k)²+4k²-h² becomes
(h+2k)² + 2²k²-h²
(h+2k)² + (2k)²-h²
Using difference of two squares
The expression (2k)²-h² = (2k+h)(2k-h)
Then,
(h+2k)² + (2k)²-h² becomes
(h+2k)² + (2k +h)(2k-h)
This can be written as
(h+2k)² + (h +2k)(2k-h)
Now,
Factorizing, we get
(h +2k)[(h+2k) + (2k-h)]
Hence, the expression factorized completely is (h +2k)[(h+2k) + (2k-h)]
Learn more here:https://brainly.com/question/12486387
Type the missing numbers in this sequence:
93, __, __, 87, 85, 83
Answer:
if you noticed, it is reduces by 2
so the sequence would be
93, 91, 89, 87, 85, 83
-------------------------------------------------
Hope this helps!
Answer:
93,91,89,87,85,83
What is the measure of 1
Answer:60
Step-by-step explanation:The measure of 1 is 60 because it's only half the size of 120
determine whether WX and YZ are perpendicular,or, neither W(-7,6),X(-6,9)Y(6,3),Z(3,-6)
Answer: The lines WX and YZ are parallel.
Step-by-step explanation: We are given to check whether the lines WX and YZ are parallel, perpendicular or neither if the co-ordinates of the endpoints of both the lines are
W(3,4), X(5,7), Y(8,2) and Z(6,-1).
We know that the slope of a straight line passing through the points (a, b) and (c, d) is given by
m = d-b/c-a
So, the slope of the line WX is
m1 = 7-4/5-3 = 3/2
and the slope of line YZ is
m2 = -1-2/6-8 = -3/-2 = 3/2
Since , we get m1 = m2, so the two lines WX and YZ are parallel.
Thus, the lines WX and YZ are parallel.
They are not perpendicular, so if you mistyped something and it was parallel that would be the answer, or the answer is neither the mysterious angle form or perpendicular. Hope this helps.
Simplify the variable expression by evaluating its numerical part, and enter your answer below.
(13 - 6) • w
Answer:
7w
Step-by-step explanation:
Simplify the parenthesis first
(13-6)=7
Then multiply by the w
7*w=7w
(13-6)*w=7w
* Can be rewritten as (13-6)w or w(13-6) or w*(13-6).
Ai chỉ cách làm cho mk vs ạ
How would I find the derivative of 2^3^x^2
Answer:
d
y
d
x
=
−
4
3
x
3
Explanation:
y
=
2
3
x
2
=
2
3
x
−
2
Applying the power rule:
d
y
d
x
=
2
3
⋅
(
−
2
)
x
−
3
=
−
4
3
x
3
Step-by-step explanation:
pls help this is due tonight
Answer:
3. 10
4. 6
5. 81,000
6. 36
7. x=-0.5
Step-by-step explanation:
3. 25-3(5)
4. 3 + 3
5. 81 x 1000
6. 4 x 9
Top Kwartalan In Indonesian ☺
[tex] {5}^{5} = [/tex]
Answer:
3125
Step-by-step explanation:
5*5*5*5*5
one step equations. due in 30 minutes pls help quick!!
Mr. Rao's gas tank holds up to 17 gallons of gas. It took 12.65 gallons of gas to fill his tank. How many gallons of gas did Mr. Rao have in his tank before he filled it? Enter your answer as a decimal or as a mixed number in simplest form in the box.
only answer if you know it
Answer: Im 99.9% sure that its 4.48
Step-by-step explanation: 17 1/8 is 17.13 as a Decimal and that subtrcated by 12.65 is 4.48 :)
I have more question then this
reflection over y axis...........
Which type of function best models the data in the set of ordered pairs?
(-2, 16),(-1, 8), (0,4), (1, 2), (2,1)
Your answer:
A.Linear
B.Quadratic
C.Exponential
Answer:
C) Exponential
Step-by-step explanation:
If you divide the consecutive y-values, you'll get a consistent result of 2:
16/8 = 2
8/4 = 2
4/2 = 2
2/1 = 2
This type of pattern corresponds to an Exponential Function.
janet obtained 32% for her statistics test, which was out of a total of 300 marks. how much should she score in the computer science test that is out of 200 marks in total if she is to get proportionally weighted average of 46%
Her score in computer to get a proportionally weighted average of 46% will be 134.
The total score for both subjects = 200 + 300 = 500
Since the proportionally weighted average is 46%, then her score will be:
= 46% × 500
= 0.46 × 500
= 230
Since she had 32% for her statistics test, which was out of a total of 300. Her score will be:
= 32% × 300
= 0.32 × 300
= 96
Therefore, her score in computer will be:
= 230 - 96
= 134
Read related link on:
https://brainly.com/question/24429956
how many fifths are there in 4 wholes? (see the illustrate given)
Answer:
To divide two fractions, flip the second fraction and change the operation from division to multiplication. Therefore, there are 20 fifths in four wholes
(A)
The Foldgers Black Silk K-cup coffee pods weigh on average .28 ounces with a standard deviation of .05 ounces. Answer each of the questions.
68%, 2.5%, 81.5%, 95%, 41-42, 20-21, 16%, 84%, 121-122, 5%, 87-88, 64, 35-36
What percentage of K-cups can be expected to fall within 2 Standard Deviations of the mean?
What is the probability that a K-cup will have more than .33 ounces?
Sam's club sells K-cups in a box of 128. How many of them will weigh less than .23 ounces?
K-cups that are more than 2 SD below the mean are considered to be to "weak". What percentage of K-cup are considered to "weak"
In a standard box of 44 k-cups, how many will weigh between .23 and .38 ounces
The ideal weight for K-cups are within 1 SD of the mean, how many of the Sam's Club box of K-cups are ideal?
Using the Empirical Rule, it is found that:
95% of K-cups can be expected to fall within 2 Standard Deviations of the mean.0.16 = 16% probability that a K-cup will have more than .33 ounces.20 of them will weight less than 0.23 ounces.2.5% of K-cups are considered weak.36 will weigh between 0.23 and 0.38 ounces.30 of the Sam's Club box of K-cups are ideal.The Empirical Rule states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.
Approximately 95% of the measures are within 2 standard deviations of the mean.
Approximately 99.7% of the measures are within 3 standard deviations of the mean.
In this problem:
The mean is of 0.28 ounces.The standard deviation is of 0.05 ounces.First, by the Empirical Rule, 95% of K-cups can be expected to fall within 2 Standard Deviations of the mean.
0.33 ounces is one standard deviation above the mean.
68% of the measures are between 0.23 and 0.33 ounces.The normal distribution is symmetric, which means that of the remaining 100 - 68 = 32%, 16% are less than 0.23 ounces and 16% are more than 0.33 ounces, thus:0.16 = 16% probability that a K-cup will have more than .33 ounces.
16% weigh less than 0.23 ounces. Out of 128:
[tex]0.16(128) = 20[/tex]
20 of them will weight less than 0.23 ounces.
5% of the measures are more than 2 SD from the mean. Due to the symmetry of the normal distribution, 2.5% are more than 2 SD below the mean, thus, 2.5% of K-cups are considered weak.
0.23 is one standard deviation below the mean.0.38 is two standard deviations above the mean.Of the 50% below the mean, 68% are above 0.23.Of the 50% above the mean, 95% are below 0.38.Thus, the proportion between 0.23 and 0.38 is:
[tex]p = 0.68(0.50) + 0.95(0.5) = 0.815[/tex]
Out of 44:
[tex]0.815(44) = 36[/tex]
36 will weigh between 0.23 and 0.38 ounces.
68% are within 1 standard deviation of the mean.
Out of 44:
[tex]0.68(44) = 30[/tex]
30 of the Sam's Club box of K-cups are ideal.
A similar problem is given at https://brainly.com/question/13503878
PLEASE HELP ILL MARK BRAINLIEST AND SHOW ALL YOUR WORK
Answer:
5
Step-by-step explanation:
f(-1) = -3(-1)^3 + 2(-1)^2
f(-1) = -3(-1) + 2(1)
f(-1) = 3 + 2
f(-1) = 5
Hope this helps! Pls give brainliest!
Answer:
5
Step-by-step explanation:
plug in -1 for x
so
[tex] -3 ({ - 1})^{3} + 2 ({ - 1})^{2} [/tex]
went we solve we get
[tex]3 + 2 \\ = 5[/tex]
so 5 is ur answer
pls give brainlist
if any questions ask
have a great day thanks :)
A machinist needs to drill 4 holes 6/16” in diameter. What is the hole size in eights of an inch?
Answer:
3/8"
Step-by-step explanation:
Reduce the fraction. The numerator and denominator are both divizable by 2 which leaves 3/8
is 78.50 is the same as 78.5
Answer:
yes, 78.50 is the same as 78.5Step-by-step explanation:
You can consider 78.50 as 78.5, cause we basically remove the 0 from it. The whole point is, they are both the same.
Hello there!
Yes, 78.50 is the same as 78.5 because you can remove the 0 and the numbers will be identical.
Hope this helps!
~Just a joyful teen
[tex]SilentNature\\(GraceRosalia)[/tex]
no link or bot right please
Answer:
4^-14
Step-by-step explanation:
4^-5 x 4^-4 x 4^-5 = 4^-14
1/4^14
Solve for X in the questions
Step-by-step explanation:
x = 360°- (90°+36°+36°)
= 360 - (162°)
= 198°
___________
[tex] \: [/tex]
Step by step :PQR = 360°
QR = 90°
PQ = 36°
RX = 36°
Soo :
x = 360° - (90° + 36° × 2)
x = 360° - (90° + 72°)
x = 360° - (162)
x = 198°✔
Solve pls brainliest
Answer:
In order: 7.5, 7.5061, 7.56, 9.213
Step-by-step explanation:
How many 0.25 are there in 10.5?
Answer:
42
Step-by-step explanation:
to find how many 0.25 there are in 10.5 we have to divide 10.5 by 0.25
10.5÷0.25
=42
Hope this helped you- have a good day bro cya)
Simplify the following expression:
За2 + 2а – 2а? - а
Answer:
3a^2
Step-by-step explanation:
2a-2a is equivalent to 0 there by making 3a^2 remaining
n divided by 100 equal 0.982
Answer:
98.2
Step-by-step explanation:
100 x 0.982 = 98.2
98.2 / 100 = 0.982
The number of students in the tutoring center was recorded for 47 randomly selected times. The data is summarized in the frequency table below.
Number
of Students Frequency
0 – 1 14
2 – 3 1
4 – 5 8
6 – 7 12
8 – 9 12
What is the class width for this Frequency Distribution Table?
Class width =
Using the information given, it is found that the class width for this frequency distribution table is of 1.
In this problem, these following classes are given:
0 – 1 14
2 – 3 1
4 – 5 8
6 – 7 12
8 – 9 12
The classes not given, which are 1 - 2, 3 - 4 and 5 - 6, have values of 0.
The difference between the bounds of the classes is of 1, thus, the class width is of 1.
A similar problem is given at https://brainly.com/question/24701109
The graph shows the motion of a car on a highway.
Which statement describing the motion of the car is best supported by the graph?
Answer:
you didnt give the options .. but its going to be the one saying something like its staying the same speed.
The ____ juice is made with a greater percent of water.
Answer:
Orange and apple
Step-by-step explanation:
Mark brainliest, isaac farts all the time u don’t want him to fart on u next
PLEASE ANSWER THIS ROTATIONAL SYMMETRY QUESTION ITS 6TH GRADE I WILL GIVE U THANKS AND BRAINLIEST
Answer:
See below:
Step-by-step explanation:
The first one is 4 since if we turn if 90 degrees 4 times we will get the same shape 4 times.
The second one is 1 since we will only get it after a 360 degree rotation once,
The third one is once since we wont ever get the same shape since the arrow but only after a 360 degree rotation.
The fourth one is only once since we cant rotate a 3 sided object in 4 ways, hence its only once
The fifth one is twice since it will be the same at 180 and 360 degrees.
on his social studies test,cody answered 87 out of 95 questions correctly what portion of his answers was correct?write your answer as a decimal rounded to the nearest thousandth
Answer:
92%
Step-by-step explanation:
Bài 7. Biện luận theo tham số a hạng của các ma trận sau:
a)
1 2 1
0 3 2 1
5 1 0
2 7 0 1
a
a
b)
0 0 2 5
0 3 4
0 11 4 7
3 4 1
a
a
c)
1 2 0 3
1 1 4
0 5 1 1
0 4 0 6
a
Answer:A
Step-by-step explanation:A