The sum of angles at a point is equal 360 degrees and using that, the value of x is 261 degrees.
Angle At a PointAngles around a point describes the sum of angles that can be arranged together so that they form a full turn. Angles around a point add to 360°.
In this question, when we sum all angles up, it will give us the sum of 360 degrees.
20 + 40 + 39 + x = 360
x + 99 = 360
x = 360 - 99
x = 261
x has a value of 261 degrees.
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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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38% of college students say they use credit cards because of the rewards program. You randomly select 10 college students and ask each to name the reason he or she uses credit cards. Find the probability that the number of college students who say they use credit cards because of the rewards program is (a) exactly two, (b) more than two, and (c) between two and five inclusive. If convenient, use technology to find the probabilities.
a) Probability that the number of college students who say they use credit cards because of the rewards program is exactly two is;
P(X = 2) = 0.1419
b) Probability that the number of college students who say they use credit cards because of the rewards program is more than two is;
P(X > 2) = 0.9402
c) Probability that the number of college students who say they use credit cards because of the rewards program is between two and five inclusive is; P(2 ≤ X ≤ 5) = 0.8054
How to solve binomial probability distribution problems?The formula for Binomial Probability distribution is;
P(X = x) = nCx * p^(x) * (1 - p)^(n - x)
where;
p is probability of success
n is number of trials
x = the number of expected successful outcomes
We are given;
p = 38% = 0.38
n = 10
Thus;
a) Probability that the number of college students who say they use credit cards because of the rewards program is exactly two is;
P(X = 2) = 10C2 * 0.38^(2) * (1 - 0.38)^(10 - 2)
P(X = 2) = 0.1419
b) Probability that the number of college students who say they use credit cards because of the rewards program is more than two is;
P(X > 2) = 1 - P(X ≤ 2)
P(X > 2) = 1 - [P(X = 0) + P(X = 1) + P(X = 2)]
P(X > 2) = 0.9402
c) Probability that the number of college students who say they use credit cards because of the rewards program is between two and five inclusive is;
P(2 ≤ X ≤ 5) = [P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)]
P(2 ≤ X ≤ 5) = 0.8054
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A farmer has 1,260 acres of land on which he grows corn, wheat, and soybeans. It costs $45 per acre to grow corn, $60 to grow wheat, and $50 to grow soybeans. Because of market demand the farmer will grow twice as many acres of wheat as of corn. He has allocated $67,050 for the cost of growing his crops. How many acres of each crop should he plant?
If he has allocated $67,050 for the cost of growing his crops. The number of acres of each crop that should plant is Corn 270, Wheat 540, Soybeans 450.
How to determine the number of acres?Let c = corn
Let w = wheat
Let s = soybeans
C+W+S = 1260
45C + 60W + 50S = 67050
W =2C
Substitute equation 1 into equation 2
C + 2C +S = 1260
3C + S =1260
45C + 120C + 50S =67050
165C +50S =67050
Let eliminate S
165C+ 50(1260-3C) =67050
165C + 63000 - 150C= 67050
15C= 4050
Divide both side by 15c
c =4050/15
c = 270 (corn)
Wheat
W=2C
w = 2(270)
w= 540
S= 1260 - 3C
S= 1260- 3(270)
S =1260 -810
S = 450 (soybeans)
Therefore , 270, 540 and 450 are the acres that should be planted.
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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
Identify the greatest common factor.
[tex]6zx^{6} tx^{4} , 30zx^{8} tx^{3} , 18zx^{5} tx^{5}[/tex]
The required greatest common factor is given as 6zx¹⁰t.
Given that,
To determine the greatest common factor among the expressions,
The greatest common factor is defined as a group of the set of numbers that is the most considerable and greatest factor that all the numbers include of.
Here,
Given expression,
= 6zx⁶tx⁴, 30zx⁸tx³, 18zx⁵tx⁵
Taking common 6zx¹⁰t,
= 6zx¹⁰t{1 , 5x³, 3}
Thus, the required greatest common factor is given as 6zx¹⁰t.
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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!!!
i need help what tis 10+10
Answer: 20 tis it
Step-by-step explanation:
my man
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
Find f (2) and f (3) if f (n) is defined recursively by f (n +1) = (n) ⁄ (n − 1) , f (0) = f (1) = 1 and for n = 1, 2, 3, …
The values of f(2) = 0 & f(3) = 2.
Here given that,
f(0) = f(1) = 1
f(n+1) = (n)/(n-1)
We have to solve the equation if n = 1:
putting the value of n = 1 in the given equation f(n+1) = (n)/(n-1)
= f(1+1) = 1/(1-1)
= f(2) = 0
In the same way we have to solve the equation if n = 2:
putting the value of n = 2 in the given equation f(n+1) = (n)/(n-1)
= f(2+1) = 2/(2-1)
= f(3) = 2/1
= f(3) = 2
Hence the answer is the values of f(2) = 0 & f(3) = 2.
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jordan uses 1/3 of a tank of gas each week on their commute for 5 days. on average, what fraction of a tank is used daily?
The fraction of a tank is used daily is 1/15.
Given that, Jordan uses 1/3 of a tank of gas each week on their commute for 5 days.
What is the fraction?In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.
Average tank of gas used = Total tank of gas/Number of days
= 1/3 ÷ 5/1
= 1/3 × 1/5
= 1/15
Therefore, the fraction of a tank is used daily is 1/15.
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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
Gus is buying juice drinks, x, and snack packs, y, for a school picnic. The system of inequalities models how many of each item Gus needs to buy and how much he can spend. Which of the following points represents a viable solution to the system? x + y ≥ 150 1.5x + 3.5y ≤ 600
The viable solutions to the system will be (80, 90)
Gus is buying juice drinks, x, and snack packs, y, for a school picnic
The system of inequalities will be
x + y ≥ 150
1.5x + 3.5y ≤ 600
15x + 35y ≤ 6000
3x + 7y ≤ 1200.......equation 1
x + y ≥ 150....multiplied with 3
3x + 3y ≥ 450...equation 2
3x + 7y - (3x + 3y) = 1200 - 450
3x + 7y - 3x - 3y = 750
4y = 750
y = 750/4
y ≤ 187.5
x + y ≥ 150.
x ≥ 150 - 187.5
x ≥ -37.5
Therefore, the viable solutions to the system will be (80, 90)
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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]
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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PLEASE ILL GIVE LOTS OF POINTS!!!!!!! PLEASEEEEEE
Answer:
3) m= 3/310
4) x > -1
6) 1:a)-4
2:b)-2
3:c)2
4:d)4
7) f(-4.2)=46.06
Step-by-step explanation:
hope this helps
1/7 + 1/39 answer please
Answer:
46/273
Step-by-step explanation:
To add fractions, they must have a common denominator. To set one, find a common multiple of both denominators. Simply multiply them together if it proves difficult.
7 x 39 = 253
Now set the denominators to this number and multiply the numerators by the opposite fraction's denominator.
39/259 + 7/253 = 46/253
This simplifies to 2/11
So, 1/3 + 1/39 = 2/11
please helllp
There are two sets of rainfall data for two different time periods in the same location.
Period 1: 2.3, 2.1, 2.2, 2.2, 2.2, 2.1, 2.4, 2.5, 2.2, 2.0, 1.9, 1.9, 2.1, 2.2, 2.3
Period 2: 2.3, 2.1, 3.3, 1.5, 3.6, 1.6, 3.0, 1.1, 4.7, 2.1, 2.4, 1.9, 2.8, 0.5, 2.3
Draw a conclusion based on the data provided.
Examining the rainfall data for the two periods a conclusion is that the range of the values are period 1 has low variability while period 2 has high variability
period 1: 0.6
period 2: 4
What is range in statistics?The range in statistics refers to the distribution of data between the lowest and greatest value in the distribution. It is a widely used indicator of variation.
Measurements of variability provide you with descriptive statistics for summarizing your data set in addition to measures of central tendency.
By deducting the lowest value from the greatest value, the range is computed. A short range indicates low variability in a distribution, whereas a big range denotes significant variability.
The range is
period 1: 2.5 - 1.9 = 0.6
period 2: 4.7 - 0.7 = 4
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What is the result of adding these two equations?
-2x+7y=-5 -2x-4y=6
The result of adding the two given equations (-2x + 7y = -5 and -2x - 4y = 6) is -4x + 3y = 1
Adding system of linear equationsFrom the question, we are to determine the result of adding the two given equations.
The given equations are
-2x + 7y = -5 and -2x - 4y = 6
Now, we will add the equations
-2x + 7y = -5
+ ( -2x - 4y = 6
------------------------------
-2x + (-2x) + 7y + (-4y) = -5 + 6
-2x - 2x + 7y - 4y = 1
Simplifying
-4x + 3y = 1
Hence, the result of adding the equations is -4x + 3y = 1
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Six people are playing a game with 52 cards.
One player passes out as many cards as possible so that everyone gets the same
number of cards.
How many cards will each of the 6 players get?
Each player will get 9 cards.
What is probability?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true.An event's probability is a number between 0 and 1, where, roughly speaking, 0 denotes the event's impossibility and 1 denotes certainty.The likelihood that an event will occur increases with its probability.A straightforward illustration is tossing a fair (impartial) coin.The chance of both outcomes ("heads" and "tails") is equal because the coin is fair, "heads" is more likely than "tails," there are no other conceivable outcomes, and the likelihood of either outcome is half.According to our question-
total people= 6
cards=52
52/6= 8.66
rounding off
=9
hence, each player will get 9 cards.
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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%.
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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Find the equation (in slope-intercept form) of the line with the given slope that passes through the point with the given coordinates.
slope: 4, ordered pair: (−3,−2)
Answer:
[tex] \huge{ \boxed{y = 4x + 10}}[/tex]
Step-by-step explanation:
The equation of a line in slope-intercept form is given by
[tex] \bold{y = mx + c}[/tex]
where
m is the slope
c is the y intercept
From the question
m = 4
In order to find c we substitute the point (−3,−2) into the equation y = mx + c
We have
[tex] - 2 = 4( - 3) + c \\ - 2 = - 12 + c \\ c = - 2 + 12 \\ c = 10[/tex]
We now substitute m and c into the equation
We have the final answer as
[tex] \bold{y = 4x + 10}[/tex]
Hope this helps you
what is 1/3 of 3/8?write a division problem to match.
Answer: 1/8, Division equation: 1/3 divided by 8/3
Step-by-step explanation:
Step 1: Write this problem as an equation, of means multiply so the equation is 1/3 x 3/8.
Step 2: Solve the equation by multiplying the numerators and the denominators. You get 3/24.
Step 3: Simplify by dividing the numerator and denominator by their gcf. In this case it is 3. So, 1/3 of 3/8 is 1/8.
Step 4: Now we need to get the division equation of 1/3 x 3/8, for this you do the same thing as if we had to actually solve the division equation with fraction, just for changing multiplication to division instead. I am talking about keep change flip. You keep the first fraction the same. you change the operation to it's opposite ,and you flip the numerator and denominator in the second fraction. When we do this we get our division equation of 1/3 divided by 8/3.
Which graph represents the function f(x) = −lx + 3|?
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.
Orlandria’s marble collection contains 10 blue marbles,5 green marbles,6 red marbles and 7 yellow marbles what is the ratio of yellow marbles to the total number of marbles in orlandria’s marble collection
Answer: The ratio of the total number of marbles in Orlandria’s marble collection is 7:28, where 7 is the yellow marbles and 28 is the total number of marbles Orlandria has.
hii, sorry please could someone answer
5 - x²
Answer:
5+-
[tex]5 + - x {}^{2} [/tex]
[tex] - x {}^{2} + 5[/tex]
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: