Answer:
28
Step-by-step explanation:
[tex] {2}^{3} = 8[/tex]
The units digit (8) is the tens digit (2) raised to the third power.
Now we will calculate the actual probability that all a randomly chosen student has a schedule that excludes music theory. We have found that the probability is given as P=4C38C3 Express your answer as a fraction in simplest form.
The probability that all a randomly chosen student has a schedule that excludes music theory, using the combination formula, is of:
p = 1/14.
What is the combination formula?The number of different combinations of x objects from a set of n elements is obtained with the formula presented as follows, using factorials.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
Without simplifying it, the probability that all a randomly chosen student has a schedule that excludes music theory is of:
[tex]p = \frac{C_{4,3}}{C_{8,3}}[/tex]
The numeric value for each of these combinations is given as follows:
[tex]C_{4,3} = \frac{4!}{3!1!} = 4[/tex][tex]C_{8,3} = \frac{8!}{3!5!} = 56[/tex]Hence the probability is given as follows:
p = 4/56.
The division of 56 by 4 has a quotient of 14, hence the simplified probability is of:
p = 1/14.
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The graph of a quadratic function with vertex (4, -4) is
Find the domain and the range.
Write the domain and range using interval notation.
Answer:
Domain: (negative infinity, positive infinity)
Range: (negative infinity,-4]
Step-by-step explanation:
infinity always has parentheses
domain is seen from left to right
range is seen from bottom to top
(15x + 3)
108
Solve for x
Answer:
(15x+3)° = 108 (vertically opposite angles)
15x = 108-3
15x = 105
x = 105/15
x =7
The price of an item has risen to $169 today. Yesterday it was $130. Find the percentage increase.
Answer:30%
Step-by-step explanation:
Step-by-step explanation:
so,
100% = $130
1 % = 100%/100 = 130/100 = $1.30
the price changed by 169 - 130 = $39.
how many % are that ?
as many % and times 1% fits into $39 :
39 / 1.3 = 30%
the price increase was 30%.
Its in the scren shot thanks!
JK and KL make up line JL.
JL = 2x + 8, JK = 2x - 2, KL = x - 9
If JK and KL make up line JL:
JK + KL = JL
We are solving for KL, so isolate it.
JK - JK + KL = JL - JK
KL = JL - JK
x - 9 = 2x + 8 - (2x - 2)
x - 9 = 2x - 2x + 8 + 2
x - 9 = 10
Often times, we would solve for x, but considering x - 9 is what we wanted the solution to anyway, we don't need to bother solving for x.
KL = 10
Lacey has 6 more than 7 times the number of marbles Rasheed has. Together, Lacey and Rasheed have 70 marbles. How many marbles does Lacey have?
Answer:62
Step-by-step explanation:
let x=number of marbles Rasheed has
let 7x+6 = number of marbles Lacey has
x+7x+6=70
8x+6=70
8x=64
x=8
Plug 8 into 7x+6 and you get 62
Which graph represents the function f(x) = −lx + 3|?
The polynomial function f(x) is graphed below. Fill in the form below regarding the features of this graph.
Answer:
Even and Positive
Step-by-step explanation:
Lisa collected leaves from different trees for a science project. Every day for a week (7 days), she collected 7 leaves. How many leaves did she collect by the end of the week?
an arts academy requires there to be 5 teachers for every 115 students and 6 tutors for every 54 students. how many students the academy have per teacher? per tutor? how many tutors does the academy need if it has 72 students
The number of students per teacher is 23.
The number of students per tutor is 8.
The number of tutors needed for 72 students is 9.
What is the number of students per teacher and per tutor?In order to determine the number of students per teacher, divide the total number of teachers by the total number of students.
Students per teacher = total number of students / total number of teachers
115 /5 = 23 students per teacher
In order to determine the number of students per tutor, divide the total number of tutors by the total number of students.
Students per tutor = total number of students / total number of tutors
54 / 6 = 9 students per tutor
The number of tutors needed for 72 students = total number of students / students per tutor
72 / 9 = 8 tutors
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HELP!! Will give brainiest
Answer:
C ≈ 207.3 ft
Step-by-step explanation:
the circumference (C) of a circle is calculated as
C = 2πr ( where r is the radius ) , then
C = 2π × 33 = 66π ≈ 207.3 ft ( to the nearest tenth )
Answer:
103.67 feet
Step-by-step explanation:
using C = pi d
If C is to be chosen at random from the set 1,2,3, 4 And D is to be chosen at a random from the set 1234. What is the possiblity C, D would be Odd?
The probability that C and D would be odd according to the given task content is; 1/4.
What is the probability that C and D would be odd?It follows from the task content that the probability that C and D would be odd be determined.
Given that the C and D are each chosen from a set 1, 2, 3, 4.
The probability that C is odd would be;
P (C is odd) = 2/4 = 1/2
Also; P ( D is odd) = 1/2
Consequently, the probability that C and D would be odd is;
= 1 / 2 × 1 / 2
= 1 / 4.
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b) When the cost of the ingredients rises, the tuckshop increases its prices. A cherry muffin now costs 350 shillings. A blueberry muffin now costs the same as three damson ones. A apple and a blueberry muffin now cost as much as a cherry muffin. A cherry muffin and two damson ones now cost the same as two apple and one blueberry. How much would Aanya now spend to buy one of each?
Aanya will now buy each at the cost below
A cherry muffin costs 350 shillings
A blueberry muffin costs 210 shillings
An apple costs 140 shillings
damson ones costs 70 shillings
How to determine the cost of eachThe information given in the question is interpreted as below
A cherry muffin = 350 shillings
A blueberry muffin = 3 * damson ones
An apple + a blueberry muffin = 1 cherry muffin
A cherry muffin + 2 damson ones = 2 apple + 1 blueberry
from: 1 blueberry muffin, B = 3 * damson ones, D
D = B / 3
Also, An apple, A + B = 1 cherry muffin, C
A = C - B
C + 2D = 2A + B
substituting the values
350 + 2 * (B/3) = 2 * (350 - B) + B
350 + 2B/3 = 700 - 2B + B
collecting like terms
2B/3 + B = 700 - 350
5B/3 = 350
5B = 1050
B = 1050/5
B = 210
Solving for cost of apple
A = C - B = 350 - 210 = 140
Solving for the cost of the damson ones
D = B / 3 = 210 / 3 = 70
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Determine which vehicle to purchase based on monthly payment.
A. Final sale price $25,000, 5
% interest, and offer financing for 60 months
B. Final sale price $29,000, 4% interest and offers financing for 72 months.
The amount paid to vehicle A is less than to vehicle B so, Vehicle A is suitable to purchase based on a monthly payment.
What is interest?When the loan is given to you, then some amount is charged to you for the principal amount and that is called interest.
Given:
For vehicle A,
The Principal amount of the car, P = $25000,
The rate of interest, r = 5% = 5/100 = 0.05,
The tenure, n = 60 months = 60/12 = 5 years,
Calculate the amount by the formula given below,
A = P (1 + r)ⁿ
Here A is the amount,
Substitute the values,
A = 25000 (1 + 0.05)⁵,
A = $31907.03
Similarly, for vehicle b
A = 29000 (1 +0.04)⁶
A = $36694.25
As the amount of vehicle A is less than the of vehicle B Therefore, vehicle A is suitable to buy.
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What is the reciprocal of 3 ⅞
Answer:
[tex]\frac{8}{31}[/tex]
Step-by-step explanation:
the reciprocal of a number n is [tex]\frac{1}{n}[/tex]
given
3 [tex]\frac{7}{8}[/tex] ← express as an improper fraction
= [tex]\frac{31}{8}[/tex] , then
reciprocal = [tex]\frac{1}{\frac{31}{8} }[/tex] = [tex]\frac{8}{31}[/tex]
Answer:
[tex]\displaystyle \frac{8}{31}[/tex]
Step-by-step explanation:
First, we will turn 3 ⅞ into an improper fraction.
[tex]\displaystyle (3*\frac{8}{8} )+(\frac{7}{8} )=\frac{24}{8} +\frac{7}{8} = \frac{31}{8}[/tex]
Next, we will find the reciprocal. This means we flip the numerator and the denominator.
[tex]\displaystyle \frac{31}{8} \rightarrow \frac{8}{31}[/tex]
Given the equation f + 32 = −2, solve for f. 16 −30 −34 −64
To solve for a variable, simply isolate it.
f + 32 = -2
f + 32 - 32 = -2 - 32
f = 34
Answer:
The correct answer is -34.
3 cups of cashews for 4 cups of flour how many cups of flour for 2 cups of cashews
The cups of flour required for 2 cups of cashew is 2.6667
How to find the proportion for 2 cups of cashewsThe proportion given in the problem is 3 cups of cashews for 4 cups of flour.
From the given proportion we calculate for the quantity of flours required for 2 cups of cashew
3 cups of cashew = 4 cups of flours
2 cups of cashew = ?
cross multiplying
3 * ? = 4 * 2
? = 4 * 2 / 3
? = 8 / 3
? = 2.6667
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Find the exact value of tan F in simplest radical form
The exact value of tan(F) in the simplest radical form for the given triangle is (√29)/8.
We are given a triangle. The vertices of the triangle are F, G, and H. The lengths of the sides of the triangle are given. The lengths of FG, GH, and HF are 8 units, √29 units, and √93 units, respectively. The triangle is a right-angled triangle. The measure of the angle ∠G is 90°. We must find the value of tan(F) in its most basic radical form. A radical expression is one that contains a square root.
Considering the angle ∠F, the base and the perpendicular of the triangle are FG and GH. The trigonometric ratio tan (F) is calculated as follows.
tan(F) = GH/FG
tan(F) = (√29)/8
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During the last snowstorm, Joey made $135 shoveling snow for his neighbor he decided to spend this money on a new TV for his room. He spent all $135 on the TV but was very excited because he got the TV on sale and the price he paid for the TV was 40% cheaper than it normally was what was the original price of the TV prior to the sale?
Answer:
54
Step-by-step explanation:
40 x 135
_______
100
=54
The Magazine Mass Marketing Company has received 16 entries in its latest sweepstakes. They know that the probability of receiving a magazine subscription order with an entry form is 0.4. What is the probability that no more than 3 of the entry forms will include an order? Round your answer to four decimal places.
Answer: The probability that more than 12 of the entry forms will include an order is 0.624.
What is probability?
It is defined as the ratio of the number of favorable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.
We have:
The Magazine Mass Marketing Company has received 16 entries in its latest sweepstakes.
The probability that more than 12 of the entry forms will include an order can be found as:
P(X > 4) = 1 - P(X = 0) - P(X = 1) - P(X = 2) - P( X = 3) - P(X = 4)
P(X > 4) = 1 - P(X = 0) - P(X = 1) - P(X = 2) - P(X = 3) - P(X = 4)
P(X > 4) = 1 - 0.0009 - 0.0097 - 0.043 - 0.117 - 0.205
P(X > 4) = 0.624
Thus, the probability that more than 12 of the entry forms will include order is 0.624.
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Step-by-step explanation:
f(x)= { -4x +4 for x <= 0
{ 10x - 4 for x > 0
FIND THE FOLLOWING VALUES
1. f(-4)= __
2. f(0)= __
3. f(2)= __
4. f(3)= __
For function, f(-4)=20, f(0)=4, f(2)=16 and f(3)=26
What is Inequality?a relationship between two expressions or values that are not equal to each other is called 'inequality.
The given function is
f(x)= { -4x +4 for x <= 0
{ 10x - 4 for x > 0
We need to find f(-4),f(0),f(2) and f(3)
f(-4) is -4x +4 as x<=0
-4(-4)+4
16+4=20
f(-4)=20
f(0) is -4x +4 as x<=0
-4(0)+4=4
f(0)=4
f(2) is 10x - 4 as x>0
10(2)-4
20-4
f(2)=16
f(3) is 10x - 4 as x>0
10(3)-4
30-4
f(3)=26
Hence f(-4)=20, f(0)=4, f(2)=16 and f(3)=26
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Need help with this
Step-by-step explanation:
please recheck your question..
There is no question attached.
hope it helps..
An exercise machine with an original price of $890 is on sale at 24% off.
a. What is the discount amount?
b. What is the exercise machines sale price?
The discount amount is $213.6
The sale price for the exercise machines is $676.4
How to calculate the discount amount ?The first step is to calculate the discount amount
890 × 24/100
= 890 × 0.24
= 213.6
The next step is to calculate the sale price
890(1-0.24)
890(0.76)
676.4
Hence the discount amount is $213.6 and the sale price of the exercise machine is $676.4
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Which number sentence is true?
A.
B.
C.
D.
The number sentence 4.8 < √32 is true
How to determine which number sentence is true?A number sentence is an arrangement of numbers and mathematical operation symbols
Given:
For 3 1/3 < √7
3 1/3 = 3.33 and √7 = 2.65
3.33 < 2.65
This is not true
For 4.8 < √32
√32 = 5.66
4.8 < 5.66
This is true
For |-3.2| < |-3.1|
|-3.2| = 3.2 Note: when you see sign | | you neglect the sign
|-3.1| = 3.1
3.2 < 3.1
This is not true
For 5.3×10⁵ < 9.76× 10⁴
5.3×10⁵ = 5.3×100000 = 530000
9.76× 10⁴ = 9.76×10000 = 97600
530000 < 97600
This is not true
Therefore, the number sentence 4.8 < √32 (4.8 < 5.66) is true. So option B is the answer
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Find X and Y. Give reasons to justify your answer
Answer:
x = 8. y = 21
Step-by-step explanation:
x + 8x + 18 = 90
combine like terms
9x + 18 = 90
-18 both sides
9x = 72
divide by 9 both sides
x = 8
______
3y + 27 = 90
-27 both sides
3y = 63
divide by 3 both sides
y = 21
Find the chi-square value x2l corresponding to a sample size of 4 and a confidence level of 98 percent.
The critical values for the chi-square distribution, with a sample size of 4 and a confidence level of 98 percent, are of:
0.2971 and 13.2767.
How to obtain the critical value for the chi-square distribution?The critical value for the chi-square distribution is obtained inserting these following information into a calculator:
The tail of the test, whether it is left tailed, right tailed or two tailed.The number of degrees of freedom, which is one less than the sample size.The significance level, which is one subtracted by the decimal equivalent of the confidence level.In the context of this problem, with a sample size of 4 and a confidence level of 98 percent, the parameters are given as follows:
Two-tailed test, as it is standard since it says nothing about the tail.3 degrees of freedom, which is one less than the sample size of 4.Significance level of 0.02, as the subtraction of one by the confidence level of 0.98 is of 0.02.Inserting these information into the calculator, the critical values are given as follows:
0.2971 and 13.2767.
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URGENT:
suppose that ln5=a and ln11=b. Use properties of logarithms to write the logarithm in terms of a and b. ln 5sqrt55
The phrase asked: [tex]\ln5\sqrt{55}[/tex]
if ln5=a and ln11=b:
[tex]\ln5\sqrt{55} =\\\\ \ln5+\ln(55)^{\dfrac{1}{2}}=\\\\\\ \ln5+\dfrac{1}{2}(\ln55)=\\\\\\ \ln5+\dfrac{1}{2}(\ln5.11)=\\\\\\ \ln5+\dfrac{1}{2}(\ln5+\ln11)=\\\\\\ a+\dfrac{1}{2}(a+b)= \dfrac{1}{2}(3a+b)[/tex]
-----------------------
theorem 1:
[tex]\ln(x.y)= \ln x + \ln y[/tex]
theorem 2:
[tex]\log_a{x^n} = n \cdot \log_a{x}[/tex]
I need help with this please help me
Answer:
y = 122
x = 58
Step-by-step explanation:
Parallel line angle rule, corresponding angle are equal
so y = 122
A flat line has 180degree angle
to get x, flat line - y = 180 - 122 = 58
Please help me!!!!!11
Answer:A
Step-by-step explanation:
N is a lie, its increasing
Q is linear
R is linear
P must be true
Answer:
The answer is A) In Section P, the function is linear and increasing.
Step-by-step explanation:
B is false because it is not decreasing
C is false because it is considered linear (linear is a line). Non-linear is typically a curved line.
D is false because it's not increasing or decreasing, so when it states decreasing it isn't even right.
Hope this helps!!!
When choosing the linear equation that represents the graph, I can look at the direction of the line and automatically know if the slope is a positive or negative number
Question 1 options:
True
False
True. You can look at the direction of the line and automatically know if the slope is a positive or negative number.
The linear equation with positive value of slope goes upwards from left to right and linear equation with negative value of slope goes downwards from left to right.
Thus, it is true that you can look at the direction of the line and automatically know if the slope is a positive or negative number.
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