What is the simplified form for 4 to the 3rd power .4 to the 8th power ?
Answer:
64 and 65536
Step-by-step explanation:
you just multiply everything
A worldwide organization of academics claims that the mean IQ score of its members is 118, with a standard deviation of 17. A randomly selected group of 35 members of this organization is tested, and the results reveal that the mean IQ score in this sample is 116.8. If the organization's claim is correct, what is the probability of having a sample mean of 116.8 or less for a random sample of this size
Answer:
0.3372 = 33.72% probability of having a sample mean of 116.8 or less for a random sample of this size
Step-by-step explanation:
To solve this question, we need to understand the normal probability distribution and the central limit theorem.
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.
Central Limit Theorem
The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
The mean IQ score of its members is 118, with a standard deviation of 17.
This means that [tex]\mu = 118, \sigma = 17[/tex]
Sample of 35:
This means that [tex]n = 35, s = \frac{17}{\sqrt{35}}[/tex]
What is the probability of having a sample mean of 116.8 or less for a random sample of this size?
This is the pvalue of Z when X = 116.8. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
By the Central Limit Theorem
[tex]Z = \frac{X - \mu}{s}[/tex]
[tex]Z = \frac{116.8 - 118}{\frac{17}{\sqrt{35}}}[/tex]
[tex]Z = -0.42[/tex]
[tex]Z = -0.42[/tex] has a pvalue of 0.3372
0.3372 = 33.72% probability of having a sample mean of 116.8 or less for a random sample of this size
Which of the following is equivalent to (x - 2)^2
(x - 2)(x+2)
(2-2)(x - 2)
(x-2)(x+2)
Answer:
(x-2)(x-2) or (x+2)(x+2)
Step-by-step explanation:
since you are squaring it, technically the terms are negative, but the product will be positive. when you multiply two negative factors, you get a positive answer. so either both can be negative or both can be positive.
can you come up with a rule for what happens to the signs when you reflect a point across both axes?
→ When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed).
→ If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.
Hope it helps!!
Answer:
(a,b) ⇒ (-a,-b)
Step-by-step explanation:
When you reflect over the x-axis, the y-value changes sign.
When you reflect over the y-axis, the x-value changes sign.
So if you reflect across both, both values change sign. That is, if you reflect the point (a,b) across both axes, you will get (-a,-b)
(I've also attached a table that's handy for other reflections if you're curious)
Two spheres M and N have volumes of 500 cubic cm and 9500 cubic cm respectively. Find the ratio of their radii.
Answer:
4.9:13.1
Step-by-step explanation:
V=4/3*pi*r^3
Select the correct answer.
In a sequence described by a function, what does the notation f(3) = 1 mean?
OA.
The third term in the sequence has a value of 1.
OB.
The common difference I of the sequence is 3.
O C.
The first term in the sequence has a value of 3.
OD
The common ratio of the sequence is 3.
Answer:
c is correct
Step-by-step explanation:
Answer:
c is right answer
Step-by-step explanation:
HOPE IT HELPS U
FOLLOW MY ACCOUNT PLS PLS
What is the exact area of a circle with a circumference of 28?
Answer:
a= 62.39
Step-by-step explanation:
1)
Volume=
Help hhvddhhdbdbdhdjdjddbbdbdbdbdbdbdbdbdbdbdbdbdbdbdb please
Answer:
there have to be a number
Step-by-step explanation:
Simplify the expression:
6x ^ 2 + 7x - 3x ^ 2 - 2x
Answer:
3x²+5x
Step-by-step explanation:
Please help I’ll mark you as brainliest if correct!
Answer:
half of 11:
5.5^2 x 3.14
30.25 x 3.14 = 94.985
round
94.99
Identify the solid from the net below *
The solid from the net is a cube
Answer: Cube
A cube has 6 faces, which makes this net accurate.
What is the inverse of x/4 ?
ill give brainlist thingy lol
Step-by-step explanation:
If you are talking about an inverse function f-1(x) of the function f(x), you must remember that, by definition,
f(f-1(x)) = x
So given f(x) = x/4 if I apply an arbitrary K which is equal to f-1(x), then
f(K) = x
K/4 = x
K = 4x
But I want to recover f-1(x), so replace it back.
f-1(x) = 4x
Done
Write the absolute value equations in the form |x-b|=c (where b is a number and c can be either number or an expression) that have the following solution sets: One solution: x=15. PLEASE ANSWER FAST
Answer:
|x-8| = 7
Step-by-step explanation:
The following equation would make x=15 when solved.
|x-8| = 7
This is because if we substitute 15 for x we would have to subtract 8 from 15 which would give us 7 and the absolute value of 7 is 7 which would ultimately make the equation true.
⚠️ PLEASE HELPPPPP
find the value of x.
if the area of square A is 225 ft2 and the area of square B is 400 ft2 what is the area of square c?
HELP!
Which expression is equivalent to -6(-2/3+2x) ?
Answer:
-6(-2/3+2x)
=12/3+12x
=4+12x
4(1+3x)
please help me.......
Answer:
Step-by-step explanation:
Use SOH CAH TOA to recall how the trig functions fit on a triangle
SOH: Sin(Ф)= Opp / Hyp
CAH: Cos(Ф)= Adj / Hyp
TOA: Tan(Ф) = Opp / Adj
Let's use CAH 1st , on the Lenovo building, b/c we have they Hypotenuse (Hyp) and an angle and we want to know the other side of the Lenovo building
Cos(30) = x/294
294*Cos(30) = x
254.611 = x
Sin(30) = y / 294
294*Sin(30) = y
147 = y
perimeter = 147+254.611+294
perimeter Lenovo = 695.611 feet
For Asus building
hyp = sqrt [ ( 144.5*[tex]\sqrt{2}[/tex])^2 + 144.5*[tex]\sqrt{2}[/tex])^2 )]
hyp = 289
perimeter = 289+144.5*[tex]\sqrt{2}[/tex]+144.5*[tex]\sqrt{2}[/tex]
perimeter Asus = 697.7077
The difference of the two buildings is
697.7077 - 695.611 =2.09671 feet
the difference is 2.10 feet ( rounded to nearest 100th)
Figure ABCD is reflected across the x-axis. What are the coordinates of A' , B' , C' , and D' ? Enter your answer by filling in the boxes. A' ( , ) B' ( , ) C' ( , ) D' ( , ) A graph with a quadrilateral on it formed between points A begin ordered pair 2, 3 end ordered pair, B begin ordered pair 5, 5 end ordered pair, C begin ordered pair 7, 3 end ordered pair, and D begin ordered pair 5, 2 end ordered pair
Answer:
Step-by-step explanation:
A' (2,-3)
B' (5,-5)
C' (7,-3)
D' (5,-2)
Answer:
A' (2,-3)
B' (5,-5)
C' (7,-3)
D' (5,-2)
Step-by-step explanation:
what is the formula of finding square rood
Answer:
[tex] \huge\blue{ \mid{ \underline{ \overline{ \tt ♡ ANSWER ♡ }} \mid}}[/tex]
There's no specific formula to find the square root of a number, however we can find the square root of a number by the following methods:
i) By Prime Factorisation
ii) By Long Division
iii) By Repeated subtraction method
✏ By Prime Factorisation:Step I: Obtain the given number.
Step II: Reduce the given number into prime factors by successive division.
Step III: Now make pairs of prime factors in such a way that both the factors in each pair are equal.
Step IV: Take one factor from each pair and find the product of these factors.
Step V: The product obtained by multiplying the factors is the required square root.
✏ Long Division:Step 1: Firstly, we place a bar on every pair of digits starting from the unit digit. If the number of digits in it is odd, we put a bar on the single-digit too.
Step 2: Now we find the largest number whose square is less than or equal to the 1st number.
Step 3: Now we bring down the next bar number.
Step 4: For new divisor, we add the divisor & quotient.
Step 5: Number taken is the product of a new divisor and this digit is equal to or less than the new dividend.
✏ Repeated subtraction method:In this method, the given number is subtracted by 1, 3, 5, 7,… at every step till you get zero at the end. The number of steps in the solution is the required square root.
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
The base and height of a triangle are 9 yards and 10 yards respectively. Find the area of the triangle.
Answer:
45
Step-by-step explanation:
1/2×9×10
since the formula says half base times height, so therefore
Area =45
GEOMETRY
please Help
Answer:
A right circular cone
Step-by-step explanation:
Can someone tell me which one of the following options from my photo is correct?
Answer:
C and E
Step-by-step explanation:
Expressions does not contain any equal or less than greater than sign
So C and E are the right answers
A bicycle is originally priced at $60. The online retailer gives a discount and the bicycle is now priced at $42. Enter the percentage discount for the cost of the bicycle.
Answer:
30% ywww
Step-by-step explanation:
The first step in the process for factoring the trinomial x2-3x - 40
Answer:
List all the factors of 40
Step-by-step explanation:
CAN SOMEONE HELP ME PLEASE !!
Answer:
A
Step-by-step explanation:
A
B
Which of the following is least accurately represented by the Venn diagram above?
A. Members of A are real numbers less than 16, and members of B are real numbers divisible
by 2.
B. Members of A are even numbers, and members of Bare odd numbers.
C. Member of A are even numbers, and members of B are multiples of 7.
D. Member of A are real numbers less than 16, ad members of Bare positive numbers.
Mark this and return
Save and Exit
Next
Answer:
my opinion is A hope it helps
Answer: B- Members of A are even numbers, and members of B are odd numbers.
Step-by-step explanation:
4. Which of the following describes all the solutions of -4x + 2y > 12 when y = 4?
A x < -1
B X > -1
CX-3
D x < 3
Answer:
Option B is correct
Step-by-step explanation:
Given data
We are given the expression
-4x + 2y > 12
We want to substitute y=4 into the expression
-4x + 2(4) > 12
-4x + 8 > 12
-4x> 12-8
-4x> 4
divide both sides by -4
x> 4/-4
x>-1
Hence option B is correct
Entras a una tienda ropa y hay un pantalón que valia 150 y ahora vale 90 y una camiseta que valia 40 ahora vale 24 ¿ tienen el mismo porcentaje de rebaja ? Justifica tu respuesta
Answer:
Entras a una tienda ropa y hay un pantalón que valia 150 y ahora vale 90 y una camiseta que valia 40 ahora vale 24 ¿ tienen el mismo porcentaje de rebaja ? Justifica tu respuesta
XS30
Question Help
Swimming Pool On a certain hot summer's day, 494 people used the public swimming pool. The
daily prices are $1.25 for children and $2.50 for adults. The receipts for admission totaled $1001.25
How many children and how many adults swam at the public pool that day?
Answer:
A=307, c=187
Step-by-step explanation:
Challenge:
Put these in order (least to greatest)
Answer:
1 1/4, -1, -1/4, 0, 1/4, 1
Step-by-step explanation:
Answer:
-1 1/4, -1, -1/4, 0, 1/4, 1,
Step-by-step explanation:
