If two angles are complementary to the same angle, then they are
A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of 108.7-cm and a standard deviation of 0.6-cm. For shipment, 22 steel rods are bundled together.
Find the probability that the average length of rods in a randomly selected bundle of steel rods is less than 109.1-cm.
Round to 4 decimal places. Answers obtained using exact z-scores or z-scores rounded to 2 decimal places are accepted.
Let x be the lengths of the steel rods and X ~ N (108.7, 0.6)
To get the probability of less than 109.1 cm, the solution is computed by:
z (109.1) = (X-mean)/standard dev
= 109.1 – 108/ 0.6
= 1.1/0.6
=1.83333, look this up in the z table.
P(x < 109.1) = P(z < 1.8333) = 0.97 or 97%
What is the domain of the function f(x)=x+3
Solve the following inequality. Then place the correct answer in the box provided. Answer in terms of a mixed number. 12z - 3 ≥ 2z - 15
if the x intercept of a line is positive and the y intercept is negative, does the line slant upwards or downwards from left to right?
If the x-intercept of a line is positive and the y-intercept is negative, the line will slant downwards from left to right.
Explanation:The line will slant downwards from left to right. The x-intercept being positive means that the line crosses the x-axis at a point to the right of the origin. The y-intercept being negative means that the line crosses the y-axis at a point below the origin. Since the slope of a line represents the direction and steepness of the line, a positive slope combined with a negative y-intercept indicates a line that slants downwards.
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Which expression is equivalent to (3−22)+5 ?
A. 22−5
B. 5−32
C. 32−5
D. 5−22
The expression (3-22)+5 simplifies to -14. None of the provided options: A. 22-5, B. 5-32, C. 32-5, or D. 5-22 are equivalent to the original expression.
Explanation:Let's break this question down for you. The initial expression given is (3−22)+5. In math, operations inside the parentheses are performed first according to the order of operations (PEMDAS/BODMAS), which is followed by addition or subtraction. However, the expression inside the parentheses here results in a negative number, since 3−22 equals -19. Then add 5 to -19 gives you -14.
So, the none of the options A, B, C or D are equivalent to the original expression (3−22)+5.
It's important to understand order of operations in math because it helps to ensure that calculations are done correctly and consistently.
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none of the provided options (A, B, C, or D) match this value.
We start with the given expression (3−22)+5. It can be simplified step-by-step as follows,
Calculate inside the parentheses first: 3 - 22.
Since subtracting 22 from 3 is performed, we get: 3 - 22 = -19.
Next, add 5 to the result: -19 + 5 = -14.
Let's evaluate each of the provided options:
A. 22−5: This evaluates to 17, which does not match -14.
B. 5−32: This simplifies to 5 - 9 = -4, which does not match -14.
C. 32−5: This evaluates to 9 - 5 = 27, which does not match -14.
D. 5−22: This simplifies to 5 - 22 = -17, which does not match -14.
None of the provided expressions are equivalent to (3−22)+5. Therefore, the correct answer is: None of the above.
$10,000 is compounded semiannually at 12% interest for t years. what expression represents the amount of money after t years?
The expression that represents the amount of money after t years when $10,000 is compounded semiannually at 12% interest is [tex]10000(1.06)^{(2t)}[/tex].
The amount of money after t years can be represented by the following expression:
[tex]A = P(1 + \frac{r}{n})^{(n*t)}[/tex]
Where:
A is the amount of money after t years
P is the principal amount (initial investment), which is $10,000 in this case
r is the interest rate, which is 12% expressed as a decimal (0.12)
n is the number of times interest is compounded per year, which is semiannually (2 times per year)
Substituting the values into the expression, we have:
[tex]A = 10,000(1 + \frac{0.12}{2})^{(2*t)}[/tex]
Simplifying further, we get:
[tex]A = 10000(1.06)^{(2t)}[/tex]
Therefore, the expression that represents the amount of money after t years when $10,000 is compounded semiannually at 12% interest is [tex]10000(1.06)^{(2t)}[/tex].
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shana wants to make a birthday cake for her mother. her old fashioned recipe calls for 3/12 Of a teaspoon of salt but she only has measuring spoons that use fourths. How many fourths of a teaspoon should she use ?
I get 2/4 because I did 1/4 of 3/12
The answer is 1/4ths because if you do the equation correctly you get 1/4.
Your welcome
Miko’s restaurant bill was $16. She used the expression 1.18(16) to find the total cost, including an 18% tip.
Which expression is equivalent to the amount Miko paid?
A. (1+0.18)16
B. 16+0.18(16)
C. 16 + 1.18
D. 1+0.18(16)
Please explain your answer
Answer:
D) 16 + 0.18(16)
Step-by-step explanation:
The set of complex numbers is the set of all numbers of the form a + bi, where a and b are real numbers and i=
Answer:
i = [tex]\sqrt{-1}[/tex]
Step-by-step explanation:
A complex number is that one having two parts:
One called real part, represented by a.And another called imaginary part, represented by bi, where b is also a real number plus i, as it was describe in the answer [tex]i = \sqrt{-1}[/tex].Although [tex]i =\sqrt{-1}[/tex], it is also [tex]i^{2} = -1[/tex], which has some interesting properties like [tex]i^{3}[/tex] = [tex]i * i^{2}= i * -1 = -i [/tex] , and so on.
These numbers came along when it was necessary to take the squared root of negative numbers:
[tex]\sqrt{-4} = \sqrt{-1} * \sqrt{4} = 2i ; -2i[/tex] .
Which set of ordered pairs represents a function?
{(0, 0), (2, 3), (1, -4), (2, -2)}
{(5, 6), (2, 6), (-3, 4), (-1, 4)}
{(3, -2), (-4, -1), (0, 3), (0, 5)}
{(-5, 1), (-4, 2), (-5, 3), (-4, 4)}
50 points! Write a compound inequality to represent all of the numbers between -4 and 6.
you want x >-4 and x<6
s0 the equation would be: -4<x<6
One positive integer is 3 less than twice another. the sum of their squares is 233. find the integers.
If you flip the graph of the quadratic parent function, f(x) = x2, over the x-axis, what is the equation of the new function?
A. g(x) = –x2
B. g(x) = x–2
C. g(x) = (–x)2
D. g(x) =
Answer:
A. [tex]g(x)=-x^2[/tex]
Step-by-step explanation:
In flipping across x-axis a function gives its mirror image through the x-axis,
That is, when a function f(x) is flipped over x-axis,
Then the new function would be -f(x).
Here, the given function,
[tex]f(x)=x^2[/tex]
After flipping the function over x-axis,
[tex]g(x)=-f(x)[/tex]
[tex]\implies g(x)=-x^2[/tex]
Hence, option 'A' is correct.
Please help! 3 questions, 1. Determine if the ordered pair is a solution of the equation. Is (-1,-30) a solution of y =10x?: a) True b) False
2.The point (5, -1) is a solution of the equation: y = 2x − 11 options: a) True b) False 3.Which ordered pairs are a solution to the equation? y = 8x options: a) (-1,-7) b) (2,16) c) (1,8) d) (-2,-6)
which inequality best represents the situation of you must be at least 52 inches tall to ride the water ride
Answer:
Option C is the correct choice.
Step-by-step explanation:
We have been given a graph and we are asked to find the correct option which represents the inequality for the situation of one must be at least 52 inches tall to ride the water ride.
At least 52 inches means one should not be less than 52 inches. This means the length of one should be 52 inches or any number greater than 52 inches.
Let us see our given inequalities one by one.
A) Our first inequality represents height less than or equal to 52, which means that one should be at-most 52 inches, therefore, 1st inequality is not true for our given situation.
B) Our 2nd inequality represents height less than 52, therefore, 2nd inequality is not true for our given situation.
C) We can see from our inequality represented in option C that height is greater than or equal to 52 inches. It is including 52 (at least) and greater heights than 52, therefore, option C is the correct choice.
D) Option D shows an inequality that represents heights greater than 52 as it is not including 52, therefore, option D in not a correct choice.
Can you determine the number of digits in the quotient of 637 divided by 7 without dividing?explain.
Please help, I'm stuck on this answer.
True or false? Explain your answer.
The inequality −2(x + 10) ≥ 75 says the same thing as −2x − 20 ≥ 75. I can multiply by -2 on the left side without reversing the inequality symbol.
Answer:True
Step-by-step explanation:
Yes, you don't have to reverse the inequality symbol since the variables are not from the other side (right).
How can 52 over 9 be expressed as a decimal?
1. 4.3 with bar over 3
2. 4.7 with bar over 7
3. 5.3 with bar over 3
4. 5.7 with bar over 7
Answer:
so divide 52 divided by 9 and your awnser would be 5.7 with bar over 7 and the awnser would be the fourth one hope it helped.
Step-by-step explanation:
Answer:
D. 4. 5.7 with bar over 7
you sasy bacass
Step-by-step explanation:
you sasy bacass you sasy bacass you sasy bacass you sasy bacass
How would the distance formula be used in real life?
Suppose an isosceles triangle ABC has A = 45° and b = c = 4. What is the length of a^2?
A.22.63
B.54.63
C.9.37
D.3.10
Please help and show all work.
A point on a coordinate plane is located 3 units to the right of the origin and 7 units above the origin. What are the coordinates of this point? Use the drop-down menus to enter the coordinates below.
The coordinates of the point are
(
( ,
)
)
This question is based on the coordinates of a plane. Therefore, ( 3, 0) and ( 0, 7) are coordinates of this points.
Given:
A point on a coordinate plane is located 3 units to the right of the origin and 7 units above the origin.
We need to determined the coordinates of the points.
According to the question,
It is given that, 3 units to the right of the origin means that, 3 units on positive x - axis.
As we know that,
On x -axis, y is equal to zero.
Therefore, the co-ordinate of this point is located on ( 3, 0).
Now, 7 units to the above the origin means that, 7 units on positive y - axis.
As we know that,
On y -axis, x is equal to zero.
Therefore, the co-ordinate of this point is located on ( 0, 7).
Hence, ( 3, 0) and ( 0, 7) are coordinates of this points.
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Name the property of real numbers illustrated by the equation.
-3(x+4)=-3x-12
A: Distributive property
B: Associative property of addition
C: Associative property of multiplication
D: Commutative property of addition
if angle m acd = 100 and angle m b =60, find angle m a
Answer:
The measure of ∠BAC is 40° .
Step-by-step explanation:
As given the figure in the question be as follow .
∠ACD = 100° , ∠B = 60°
Noe by using the the exterior angle is equal to the sum of the interior angle .
Thus
∠ACD = ∠CBA + ∠BAC
Put all the values in the above
100° = 60° + ∠BAC
∠BAC = 100° - 60°
= 40°
Therefore the measure of ∠BAC is 40° .
Logan's only debt obligations are a car loan payment of $512 and a credit card payment of $70 every month. What is the minimum amount of money he must take home every month in order to avoid being in danger of credit overload?
Answer:
$ 2910
Step-by-step explanation:
Which statement is true about this argument?
Premises:
If two lines are parallel, then the lines do not intersect.
Lines m and n do not intersect.
Conclusion:
Lines m and n are parallel.
Which statement is true about the argument?
The argument is not valid because the premises are not true.
The argument is not valid because the conclusion does not follow from the premises.
The argument is valid by the law of detachment.
The argument is valid by the law of syllogism.
Assume RST MNO. If MN = 6, NO = 7, and MO = 11, what is the length of RS?
Answer with explanation:
It is given that,
R ST ≅ M NO.
Also, MN=6 unit
NO=7 Unit
MO=11 unit.
When two triangles are congruent , their corresponding Sides and Angles are Congruent, that is equal.
So,Corresponding Side to MN is RS .
So, MN=RS
MN=6 unit
RS=6 unit
write two equations for a horizontal line and a vertical line.
how do you divide fractions
Dividing fractions is basically the same thing as multiplying fractions but by the reciprocal.
For example, [tex]\frac{3}{8}[/tex] ÷ [tex]\frac{1}{4}[/tex] you would change this so in the second fraction that is being divided, the numerator and the denominator would switch places. Instead, it would be...
[tex]\frac{3}{8}[/tex] x [tex]\frac{4}{1}[/tex]