Answer:
30.7
Step-by-step explanation:
Answer:
30.8 unitsStep-by-step explanation:
Definition of tangent
tan = opposite / adjacentApply to the given triangle and solve for MN
MN/PN = tan ∠PMN / 10 = tan (72 deg)MN = 10 (3.077)MN = 30.8 (rounded)if you have 400 starting in the bank you deposit 250. withdraw 500 withdraw 100
Answer:
Hey there!
You have 50 dollars left.
400+250-500-100=50
Let me know if this helps :)
Credit card applicants have a mean credit rating score of 667. Assuming that the distribution of credit rating scores, X, is Normal with standard deviation 65, calculate the probability that a single applicant for a credit card will have a credit rating score above 700.
Calculate the z-score. Round to two decimal places. Include any leading zeros.
Calculate the probability. Round to four decimal places. Include any leading zeros.
0.306 is the z-score. Round to two decimal places. Include any leading zeros.
What does "z-score" mean?
The Z-score provides information on how far a given value deviates from the standard deviation. The amount of standard deviations a given data point is above or below the mean is represented by the Z-score, also known as the standard score.
Essentially, standard deviation is a measure of the degree of variability within a given data collection.
Let X the random variable that represent the rating score of a population, and for this case we know the distribution for X is given by
X `N(667,65 )
Where μ = 667 and σ = 65
We are interested on this probability
P(X > 700 )
And the best way to solve this problem is using the normal standard distribution and the z score given by
Z= X - μ/σ
If we apply this formula to our probability we got this
P(X > 700 )
= P(X - μ/σ > 700 -μ/σ)
= P(Z > 700 - 667/65 )
= P(Z > 0.508 )
And we can find this probability using the complement rule and excel or a calculator and we got
P( z > 0.508 ) = 1 - P(Z - 0.508 ) = 1 - 0.694 = 0.306
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Find the following for the function f(x) = 4x² + 4x-3.
(a) f(0)
(b) f(4)
(e)-f(x)
(f) f(x+1)
(a) f(0) = -3 (Simplify your answer.)
(b) f(4)=
(Simplify your answer.)
(c) f(-4)
(g) f(3x)
(d) f(-x)
(h) f(x+h)
The values of functions are
(a) f(0) = -3. (b) f(4) = 77.
(c) f(-4) = 45. (d) -f(x) = -4x² - 4x + 3.
(e) f(x+1) = 4x² + 12x + 1. (f) f(-x) = 4x² - 4x - 3.
(g) f(3x) = 36x² + 12x - 3.
(h) f(x+h) = 4x² + 8xh + 4h² + 4x + 4h - 3.
Evaluating functions:The concept used in this question is evaluating a polynomial function for different values of the input variable. To do this, we substitute the given value into the function in place of the input variable and simplify the resulting expression.
Here we have
The function f(x) = 4x² + 4x-3.
To find the values of functions can be done by replacing x
(a) f(0) = 4(0)² + 4(0) - 3 = 0 + 0 - 3 = -3
(b) f(4) = 4(4)² + 4(4) - 3 = 64 + 16 - 3 = 77
(c) f(-4) = 4(-4)² + 4(-4) - 3 = 64 - 16 - 3 = 45
(d) -f(x) = -[4x² + 4x - 3] = -4x² - 4x + 3.
(e) f(x+1) = 4(x+1)² + 4(x+1) - 3 = 4(x² + 2x + 1) + 4x + 4 - 3 = 4x² + 12x + 1.
(f) f(-x) = 4(-x)² + 4(-x) - 3 = 4x² - 4x - 3.
(g) f(3x) = 4(3x)² + 4(3x) - 3 = 36x² + 12x - 3.
(h) f(x+h) = 4(x+h)² + 4(x+h) - 3 = 4(x² + 2xh + h²) + 4x + 4h - 3
= 4x² + 8xh + 4h² + 4x + 4h - 3.
Hence,
The values of functions are
(a) f(0) = -3. (b) f(4) = 77.
(c) f(-4) = 45. (d) -f(x) = -4x² - 4x + 3.
(e) f(x+1) = 4x² + 12x + 1. (f) f(-x) = 4x² - 4x - 3.
(g) f(3x) = 36x² + 12x - 3.
(h) f(x+h) = 4x² + 8xh + 4h² + 4x + 4h - 3.
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How many lives does a cat have, also there are 20cats in the room, how many cat lives are in the room
Answer:
20
Step-by-step explanation:
Technically cats only have one life even though they can survive falls and such
Solve the equation x\8+3=10
Answer:
x=7/8
Step-by-step explanation:
x/8+3=10
x/8=7
x=7/8
Three times a number decreased by five, is grater than seven
Answer:
5
Step-by-step explanation:
5x3=15
15-5=10
Answer:
x > 4
Step-by-step explanation:
3x - 5 > 7
3x > 7 + 5
x > 12/3
x > 4
6 boba drinks for $8.40 or 9 boba drinks for $9.95
Which one is a better deal?
Answer:
9 for $9.95
Step-by-step explanation:
I need to Expand 2(x + 3) =
Answer:
2x+6
Step-by-step explanation:
you multiply what is inside by what is outside
2(x+3) giving 2x+6
it is given in a factorised form , by removing common factor that is 2
Which of the following disciplines is contributing to Organizational Behavior?
= Anthropology
Step-by-step explanation:
Anthropology is the real answer hshshshshs
What the meaning of statement this?
The statement "Every set can be considered a class" means that every object in set theory, including sets, can be considered a class. This is because classes are simply collections of objects, and sets are a type of collection.
What does the statement implies?The statement "If S is a set, consider the formula x S and the class {x: x = S}" means that if S is a set, then we can consider the formula x S, which states that x is an element of S, and the class {x: x = S}, which is the class of all objects that are equal to S.
In other words, the statement is saying that every set can be considered a class, and that we can define a class for any set by considering the formula that defines the set and the class of all objects that satisfy that formula.
For example, the set {1, 2, 3} can be considered a class by considering the formula x ∈ {1, 2, 3}, which states that x is an element of the set {1, 2, 3}, and the class {x: x ∈ {1, 2, 3}} is the class of all objects that are elements of the set {1, 2, 3}. This class is equal to the set {1, 2, 3}.
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3(u+2)+2u=7(-1)+9Is itNo solutionu=All of the numbers are the solution 5(w+1)-7=3(w-1)+2wIs itNo solutionw=All of the numbers are the solution
GIVEN:
The first expression is:
\(3(u+2)+2u=7(u-1)+9\)Solving the equation,
\(\begin{gathered} 3u+6+2u=7u-7+9 \\ 5u+6=7u+2 \\ 2u=4 \\ u=2 \end{gathered}\)Hence, the only solution of the first expression is u = 2
Now,the second expression is:
\(5(w+1)-7=3(w-1)+2w\)Solving, the expression:
\(\begin{gathered} 5w+5-7=3w-3+2w \\ 5w-2=5w-3 \\ \end{gathered}\)Clearly, the equation above will not be equal for any value of w
Hence, No solution.
Paul was thinking of a number. Paul doubles it and adds 8.7 to get an answer of 23.4. Form an equation with
x
from the information.
Answer:
2x+8.7=23.4
Step-by-step explanation:
{Edmentum}Which operation should you perform last in the expression 12 × 4^2?
No sample answer, please?
Have good defined answer! :D
Also, If you put a sample answer put a warning and I'll mix it into my own words! :D
That's all, Open to suggestion work and support work!
Have a amazing Day!
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Y=(x-2)(x-1)^2 in standard form
9514 1404 393
Answer:
Y = x^3 -4x^2 +5x -2
Step-by-step explanation:
The product can be formed in stages. I prefer to figure the squared term first.
y = (x -2)(x^2 -2x +1)
y = x(x^2 -2x +1) -2(x^2 -2x +1)
y = x^3 -4x^2 +5x -2
Use the order of operations to simplify
8.6 – 4.2+ io
3
Answer:
9/10
Step-by-step explanation:
8.6-4x2+3/10- multiply first 4x2=8
8.6-8+3/10 - subtract 8.6-8+.6
.6+3/10= 9/10
Which percent is equivalent to 2 5/6?
Answer: 283.3333333% (283.3%)
Step-by-step explanation:
First, lets turn 2 5/6 into and improper fraction. It becomes 17/6.
Now, we divide 17/6
17/6 = 2.833333333
Now, to turn it into a percent, we multiply it by 100, or move the decimal point 2 places to the right. That gives us 283.3333333% (283.3%)
Hope this helps!
What is the value of pi?
Answer:
3.141592653589793
Step-by-step explanation:
Normally, you only need to memorize the digits up to 3.1415926. Of course, there are more digits of pi, but you don't need to know that much digits of pi.
Answer:
3.14159265359
Step-by-step explanation:
C
55
Solve for C.
90
C = [?]
Round your
to the nearest tenth.
final answer
50
Law of Cosines: c² = a² + b² - 2ab-cosC
Measure of Angle C
Answer:
29.4°
Step-by-step explanation:
The equation can be rearranged to give C directly.
C = arccos((a^2 +b^2 -c^2)/(2ab))
C = arccos((90^2 +55^2 -50^2)/(2·90·55))
C = arccos(8625/9900) ≈ 29.4002°
C ≈ 29.4°
The measure of angle C is approximately 29.46 degrees.
How to determine angle CTo find the measure of angle C (cos(C)) using the given values a = 55, b = 90, and c = 50, we can use the Cosine Rule formula:
cos(C) = (a² + b² - c²) / (2 * a * b)
Substitute the given values:
cos(C) = (55² + 90² - 50²) / (2 * 55 * 90)
Now, calculate the numerator:
cos(C) = (3025 + 8100 - 2500) / (2 * 55 * 90)
cos(C) = 8625 / 9900
Now, divide to get the final value of cos(C):
cos(C) ≈ 0.8707
To find the measure of angle C itself, we can take the inverse cosine (arccos) of this value:
C ≈ arccos(0.8707)
Using a calculator, you'll find:
C ≈ 29.46 degrees (rounded to two decimal places)
So, the measure of angle C is approximately 29.46 degrees.
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TJ is think of a number which he calls n he finds 1/3 of the number
Answer:
Step-by-step explanation:
Let the number TJ thinks of be n.
If he finds 1/3 of the number, the expression that models this situation is expressed as:
1/3 of n
= 1/3 * n
= n/3
hence the expression that models the scenario is n/3
Answer:
1/3n-5
Step-by-step explanation:
S) A $4.00 sales tax is charged for a $50.00 purchase. At this rate, what is the sales tax for a $1200.00
purchase?
Please help me :) I’m down bad
Answer:
$96
Step-by-step explanation:
4/50=.08 which is sales tax rate
1200X.08=$96 sales tax
Find the value of x and y variable in the following parallelogram
Answer:
y + 5 = 3y - 1
2y = 6, so y = 3
4x - 2 = x + 10
3x = 12, so x = 4
6x ( 2/3 divided by 2)+ 0.5
Answer:
2.5
Step-by-step explanation:
Given expression:
\(6 \times \left(\dfrac{2}{3} \div 2\right)+0.5\)
Following the order of operations (PEDMAS), carry out the calculation inside the parentheses first.
When dividing a fraction by a whole number, first covert the whole number into a fraction:
\(\implies 6 \times \left(\dfrac{2}{3} \div \dfrac{2}{1}\right)+0.5\)
When dividing fractions, flip the second fraction (swap the numerator and denominator), then multiply:
\(\implies 6 \times \left(\dfrac{2}{3} \times \dfrac{1}{2}\right)+0.5\)
\(\implies 6 \times \left(\dfrac{2 \times 1}{3\times2}\right)+0.5\)
\(\implies 6 \times \left(\dfrac{2}{6}\right)+0.5\)
\(\implies 6 \times \dfrac{2}{6}+0.5\)
Now carry out the multiplication:
\(\implies \dfrac{6 \times2}{6}+0.5\)
\(\implies \dfrac{\diagup\!\!\!\!6 \times2}{\diagup\!\!\!\!6}+0.5\)
\(\implies 2+0.5\)
Finally carry out the addition:
\(\implies 2.5\)
2.5
6*(2/3)/2 + 0.5
6*1/3 + 0.5
2 + 0.5
=2.5
A certain insecticide kills 70% of all insects in laboratory experiments. A sample of 11 insects is exposed to the insecticide in a particular experiment. What is the probability that exactly 2 insects will survive? Round your answer to four decimal places.
Based on the given data, the probability that exactly 2 insects will survive is 0.1402 rounded to four decimal places.
Calculating the Probability of Survival in an Insect Population Exposed to InsecticideThe probability mass function for the binomial distribution is given by:
P(X=k) = (n choose k) * p^k * (1-p)^(n-k)
where X is the random variable representing the number of successes (surviving insects), k is the specific number of successes we're interested in (k=2 in this case), n is the total number of trials (n=11), p is the probability of success (p=0.3), and (n choose k) is the binomial coefficient, which is the number of ways to choose k objects from a set of n objects.
Plugging in the values, we get:
P(X=2) = (11 choose 2) * 0.3² * 0.7²
= (55) * 0.09 * 0.02825
= 0.1402
Therefore, the probability that exactly 2 insects will survive is 0.1402 (rounded to four decimal places).
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cos (x + 16) = sin(3x – 2)
Answer:
x = 19
Step-by-step explanation:
So cos and sin are closely related, but they are not equal. In order for these two to be equal to each other, the angles (in the parenthesis by the cos and by the sin) have to be complementary. That is, they have to add up to 90°
Use this idea to set up an equation.
x + 16 + 3x - 2 = 90
Combine like terms.
4x + 14 = 90
Subtract 14.
4x = 76
Divide by 4.
x = 19
x = 19
If you are kooking for the angles:
x + 16
= 19 + 16
= 35
and
3x - 2
= 3(19) - 2
= 57 - 2
= 55
Check: 35 + 55=90
Also,
cos35 = sin55
Calculate the average rate of change for the given graph from x = 0 to x = 3 and select the correct answer below. (0,6) (3,0)
Answer:
(3,0)
Step-by-step explanation:
The number on the x axis is the only number that changes not the number on the y axis.
Answer:
-2
Step-by-step explanation:
(6,0)-(0,3)
It goes don -6 and over 3
-6/3=-2
Why do non STEM majors detest taking algebraic courses at the collegiate level?
Answer:
Because they find it hard to pass in the past.
Step-by-step explanation:
Non-STEM majors detest taking algebraic courses at the collegiate level because based on their past experiences in high school, whereby they probably do not excel in algebra, numbers, or mathematical subjects in general, the thought of going through advanced numbers and equations can be overwhelming.
Nobody wants to have or at least start college with poor grades. Hence, because non-STEM students find algebraic courses hard to pass in the past, they detest taking the course that has to do with it at the college level.
A grocer can buy strawberries for $1.38 per pound.
1. How much would they pay to buy 25 lbs of strawberries?
Answer:
$34.5
Step-by-step explanation:
1.38 * 25 = 34.5
Answer:
The answer is $34.5.
Step-by-step explanation:
$1.38 x 25 = $34.5.
three sides of triangle is x cm y cm z cm its perimeter and semi perimeter
Answer:
Step-by-step explanation:
Perimeter:
\(P=(x+y+z) \ cm\)
Semi-perimeter:
\(SP=\frac{1}{2} (x+y+z) \ cm\)
Question 4
What is the solution of the equation? Prove your answer to be correct.
1/3(6z + 7.2) = 0.5(8z + 2) - 0.4
a. z = 0.8
b. z = 0.9
c. Z = 2.8
d. z = 3.6
The value of z in the equation 1/3(6z + 7.2) = 0.5(8z + 2) - 0.4 is z=0.9
How to solve the equation?
Remove parentheses from each side of the equation and combine similar phrases to make it simpler.To separate the variable term on one side of the equation, use addition or subtraction.To find the variable, use division or multiplication.The algebraic expression should often take one of the following forms: addition, subtraction, multiplication, or division.Bring the variable to the left and the remaining values to the right to determine the value of x. To determine the outcome, simplify the values.1/3(6z + 7.2) = 0.5(8z +2) -0.4
(6/3)z + 7.2/3 = (8/2)z + 2/2 - 0.4
2z + 2.4 = 4z + 1 - 0.4
2z - 4z = 0.6 - 2.4
-2z = -1.8
z= 0.9
Hence, the value of z in the equation 1/3(6z + 7.2) = 0.5(8z + 2) - 0.4 is z=0.9
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PLEASE HELP
what is 30th term of -12, -3, 6, 15
Answer:
249
Step-by-step explanation:
We can see that the difference of every term in the given sequence is 9, because -12 + 9 = -3, -3 + 9 = 6 and 6 + 9 = 15. We may therefore assume that the sequence is arithmetic (a fancy word of saying that a sequence is increasing with a constant value every term).
Since the difference of every term is 9, we know that the explicit form of the sequence (where the value of every term is expressed in terms of the term number) is in the form \(9n+c\), where \(n\) is the term number and \(c\) is a constant we are going to figure out right now.
We know that the first term of the sequence is -12, so we see that\(9(1) + c = -12\) and hence \(c=-21\). Therefore, the 30th term of the sequence is \(9(30) - 21 = 249\).