Answer:
[tex]P(-2<Z<2)=95\%[/tex]
Step-by-step explanation:
From question we are told that
Sample mean [tex]\=x= 47[/tex]
Standard deviation [tex]\sigma =7[/tex]
Generally the X -Normal is given as
[tex]Z=\frac{x-\=x}{\sigma}[/tex]
[tex]Z=\frac{x-47}{9}[/tex]
Analyzing the range
[tex]P(47<x<65) = P(0< z<2.00)[/tex]
[tex]P(47<x<65) = 95/2[/tex]
[tex]P(47<x<65) = 47.5\%[/tex]
Mathematically
[tex]Z_1 =\frac{47-47}{9} =0[/tex]
[tex]Z_2 =\frac{65-47}{9} =2[/tex]
Empirical rule shows that
[tex]P(-2<Z<2)=95\%[/tex]
Apply the distributive property to factor out the greatest common factor.
55 + 35
Answer:5(11+7)
Step-by-step explanation:
Find the area of square that has the same perimeter as a rectangle whose length and breadth are 18cm and 8cm respectively
Answer:
169
Step-by-step explanation:
The perimeter of the square and rectangle are said to be the same. Therefore we have to find the perimeter which is :Perimeter of a rectangle= 2(length+breath)
2(18 + 8)
2(26)
52.
A square has four equal sides.
The length will be determined by dividing 52 by 4
[tex]52 \div 4 = 13[/tex]
The length is 13.
Since the area of a square is
[tex] {l}^{2} = {13}^{2} [/tex]
L is length.
The answer is
[tex] {169}^{2} [/tex]
the chart shows the hourly wage for the employees at the local newspaper office what is the hourly wage of most of the employees
Answer:
In principle, minimum wages can be set for an hour of work, a week of work, or a month of work (see section 1.8 for a review)
please help asap no trolls!
Answer:
angle wyx that is angle y is largest as it's the opposite angle to the largest side of a triangle
HEEYY GUYS CAN U HELP MEE
Step-by-step explanation:
3-The two lines cannot intersect
Write an expression to represent:
One less than the quotient of four and a number x
Answer:
Hi again
4/x-1
Step-by-step explanation:
Same thing
4÷x is 4/x
Less 1
4/x-1
You deposit $6000 in an account earning 2% interest compounded monthly How much will you have in the account in 10 years
The amount is $7327.49 and the interest is $1327.49.
Explanation:
STEP 1: To find amount we use formula:
A = total amount
P = principal or amount of money deposited,
r = annual interest rate
n = number of times compounded per year
t = time in years
In this example we have
After plugging the given information we have
is the expression 70-(4 • 15 ) a different three terms product of two times or a difference of two term?
what was the answer I’m on the same one
The sum of three consecutive integers is 54. What are the integers? A. 17, 18, 19 B. 17, 19, 21 C. 18, 19, 20 D. 16, 17, 18
Answer:
Option A: 17,18,19 is the right answer.
Step-by-step explanation:
Let x be the first integer then the next two consecutive integers will be x+1, x+2
According to the given statement, the equation will be:
[tex]x + (x+1) + (x+2) = 54[/tex]
The equation is a linear equation in one variable, we have to solve the equation to get the values of integers
[tex]x+x+1+x+2 = 54\\3x+3 = 54\\3x = 54-3\\3x = 51\\\frac{3x}{3} = \frac{51}{3}\\x = 17[/tex]
Second integer = x+1 = 17+1 = 18
Third integer = x+2 = 17+2 = 19
The three integers are: 17,18 and 19
Hence,
Option A: 17,18,19 is the right answer.
Answer:
option a is the right answear trust
Step-by-step explanation:
Determine if the two triangles shown are similar. If so, write the similarity statement.
Question 18 options:
A)
Impossible to determine.
B)
ΔGCB ∼ ΔGFE
C)
The triangles are not similar.
D)
ΔBCG ∼ ΔEFG
Answer:
C. The triangles are not similar
Step-by-step explanation:
For two triangles to be considered similar, the 3 angles of one triangle must be equal or congruent to the corresponding 3 angles of the others.
The only angle in ∆BCG that is equal to the corresponding angles in ∆EFG is <BGC. The remaining 2 angles in ∆BCG are not congruent to the corresponding 2 angles in ∆EFG.
Therefore, we can conclude that both triangles are not similar.
The critical points of a rational inequality arex=-4 and x = 2. Which set of points can be tested to find a complete
solution to the inequality?
O x=-4 and x=2
Ox=-5 and x =3
O x=-5, x = 0, and x = 3
O x=-4, X = 0, and x = 2
Answer:
C on EdgE
Step-by-step explanation:
2020
The required possible set of test points that includes all three intervals is x=-5, x=0, and x=3. Option C is correct.
What is inequality?Inequality can be defined as the relation of the equation containing the symbol of ( ≤, ≥, <, >) instead of the equal sign in an equation.
Here,
The set of points that can be tested to find a complete solution to the rational inequality are x=-5, x=0, and x=3. This is because the critical points divide the number line into four intervals, and one test point in each interval is needed to determine the sign of the rational function in that interval. Since there are three intervals, we need three test points. One possible set of test points that includes all three intervals is x=-5, x=0, and x=3.
Learn more about inequality here:
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So, the value of 3 in 2,304 is_
times the value of 3 in 16,135.
Answer:
10 times
Step-by-step explanation:
The first number is 2,304 and other number is 16,135.
The value of 3 in 2,304 is 300 and the value of 3 in 16,135 is 30.
[tex]\dfrac{\text{The value of 3 in 2,304 }}{\text{The value of 3 in 16,135}}=\dfrac{300}{30}\\\\=10[/tex]
It means that, the value of 3 in 2,304 is 10 times the value of 3 in 16,135.
Please help if you know it.
Answer:
[tex]\frac{16n^{6} }{m^{9} }[/tex] is the answer
Step-by-step explanation:
Keri invests £500 into an account that pays 5.5% compound interest per annum. Work out how much money Keri will have in her account after 16 years.
Answer:
500×1.055^16=1177.63
tap on image to see it all.....I really need this answer please
Answer:
180-44=136 is d
then 180-136=44 44/2=22
c is 22. just remember total angle above straight line is 180, and the total angle of a triangle is also 180. And if two sides have the same length, their angles are also the same like c and a, and e and 44 degrees
34.65 divided by 1.5
Show 1 1/4 on a number line out of 4
- I made this IMPOSSIBLE Question to see who can answer it correctly
(GIVING BRAINLIEST) Reporting trolls ( reports=points loss)
Answer:
converse 3
contrapositive 1
inverse 2
conditional statement 4
Answer:
i dont know
Step-by-step explanation:
you got me good just sayian
(pls dont report i beg)
When was 2011 gone to 2021 what is the difference in years?
Answer:
10 is the difference
Answer:
Economics gone down and nature gone up
Find L when P= 24 and W = 6.
P = 2L+ 2W (perimeter of a rectangle)
L =
Answer:
6
Step-by-step explanation:
24 = 2L + 2(6), multiply...
24 = 2L + 12, subtract 12 to both sides...
12 = 2L, divide 2 to both sides to isolate the varibale L
6 = L
Therefroe, L = 6
algebra 2 inverse functions
Answer:
The inverse function is:
{(1,8), (2,-1), (5,10), (-3,-3)}
Step-by-step explanation:
When a function is represented in the form of ordered pairs, the first element of each ordered pair is the input and the second element in each ordered pair is the output. In the inverse of a function the input becomes output and the output becomes input.
Given function is:
{(8,1), (-1,2), (10,5), (-3,-3)}
Reversing the order of elements of ordered pairs will given us the inverse function.
The inverse function is:
{(1,8), (2,-1), (5,10), (-3,-3)}
how do i solve -3x=-2
Answer:
x = -2/-3
Step-by-step explanation:
since you have your variable on one side and your whole number on the other, divide by -3 on both sides to get x=-2/-3
Moving company A charges you a flat rate of $30, plus $1 for every mile you move. Moving company B charges you a flat rate of $20, plus $2 for every mile you move. How many miles would you have to move so that each moving company would charge you the same total amount
Answer: 10 miles
Step-by-step explanation:
Given that :
Company A:
Flat rate = $30
Charge per mile = $1
Company B:
Flat rate = $20
Charge per mile = $2
Let x = number of miles
Company A total :
30 + x
Company B total :
20 + 2x
Miles needed To get the same total :
30 + x = 20 + 2x
30 - 20 = 2x - x
10 = x
Hence, 10 miles will be moved
Question 5 of 7 -
Rick will participate in a walk-a-thon to raise money for charity. The amount he will raise based on the number of miles he walks is shown in the table, which represents a linear function
Amount Raised
Answer:
b and E
Step-by-step explanation:
B.If Rick walks 0 miles, he will raise $60.
E.
For each mile that Rick walks, he will raise an additional $60.
The total amount raised by Rick in the walk-a-thon is shown by the expression y = 60 + 60x.
Given that,
Rick will participate in a walk-a-thon to raise money for charity. The amount he will raise based on the number of miles he walks is shown in the table, which represents a linear function amount raised is to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Let the total amount raised be y,
Amount raised per x mile is 60x,
And initial raise = 60
Total raise = y = 60 + 60x
Thus, the total amount raised by Rick in the walk-a-thon is shown by the expression y = 60 + 60x.
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Simplify (4^2)^5
^ = exponent please help will award the Brainlyest
Answer:
Step-by-step explanation:
Here you go mate'
step 1
(4^2)^5 equation
step 2
(4^2)^5 multiply the equation 5 times
(4^2)(4^2)(4^2)(4^2)(4^2)
step 3
(4^2)(4^2)(4^2)(4^2)(4^2) solve
4^10
answer
4^10=1048576
Given the formula, y = 3x + 4, enter the value of y in the text box below where the value of x is 0.
y = 3x + 4
(x, y)
-2
0
2
Enter answer
Answer:
[tex]y = 3x + 4 = 3(0) + 4 = 4[/tex]
(x,y) = (0,4) is the right answer.This equation has one solution.
5(r–1) + 3r =7(r + 1)
What is the solution?
Answer:
R=12 is the solution
I don't know how to explain but it needs to be 20 characters
please help asap no trolls!!
*this ones a bit harder but i wanna see who gets it right first :)*
Answer:
[tex]\triangle TRS\ congruent\ to\ \triangle ZYX\\[/tex]
Step-by-step explanation:
[tex]Lets\ consider\ \triangle TRS\ and\ \triangle ZYX\\Hence,\\TR=ZY\\TS=ZX\\RS=XY\\Hence,\\The\ SSS\ Congruency\ Tells\ us:\\'If\ three\ sides\ of\ one\ triangle\ corresponds\ to\ the\ three\ sides\ of\ the\\ other\ the\ triangles\ are\ congruent'\\Hence,\\\triangle TSR\ is\ congruent\ to\ \triangle ZYX.\\Note: We\ cannot\ apply\ SSS\ Congruency\ between\ \triangle TSR/ZYX\\ and\ \triangle HIJ\ as\ HI\ isn't\ equal\ to\ any\ of\ the\ sides\ in\ \triangle TSR/ZYX[/tex]
R
b) In the given figure, show that triangle PQR is a right angled triangle.
Answer:
Given that triangle RSP is a right triangle, then using the Pythagorean Theorem, RP = 5. (3²+4²=5²)
Plugging the 5 in to triangle RPQ, we find that the Theorem still works for that one, which means it is a right triangle (5²+12²=13²)
Step-by-step explanation:
Given that triangle RSP is a right triangle, then using the Pythagorean Theorem, RP = 5. (3²+4²=5²)
Plugging the 5 in to triangle RPQ, we find that the Theorem still works for that one, which means it is a right triangle (5²+12²=13²)
Answer:
see explanation
Step-by-step explanation:
Using Pythagoras' identity in Δ PRS
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, then
PR² = 3² + 4² = 9 + 16 = 25 ( take the square root of both sides )
PR = [tex]\sqrt{25}[/tex] = 5
Using the converse of Pythagoras in Δ PQR
If the longest side squared is equal to the sum of the squares on the other 2 sides then the triangle is right.
QR² = 13² = 169
PR² + PQ² = 5² + 12² = 25 + 144 = 169
Thus Δ PQR is a right triangle, with right angle at P
What are the solutions of 15 ≤ 5 – 2(4m + 7)
Answer:
m = (-∞, -3]Step-by-step explanation:
Solving in steps:
15 ≤ 5 – 2(4m + 7)15 ≤ 5 - 8m - 148m ≤ - 9 - 158m ≤ - 24m ≤ -24/8m ≤ -3m = (-∞, -3]