Answer:
let x be -8
6(1-8)
6(7)
6x7=42
answer=42
i will give brianliest to however gets it right
Suppose the spinner shown to the right is spun once, to determine a single-digit number, and we
are interested in the event E that the resulting number is even. Give each of the following.
(a) the sample space
(b) the number of favorable outcomes
(c) the number of unfavorable outcomes
(d) the total number of possible outcomes
(e) the probability of an even number
(f) the odds in favor of an even number
The sample space for the event is given by {2,3,4}
The sample space is a collection of all possible outcomes of an experiment. The sample space is used in probability where the it represents all possible outcomes.
a) In the spinner there are only three possibilities.
The sample space is represented by {2,3,4} .
b)The favorable outcomes in this case is 2 and 4.
Hence the number of favorable outcome is 2.
c)There is only 1 unfavorable outcome which is 3.
d)The total number of possible outcomes is 3 , as we see in the sample space there are 3 numbers.
e)The probability is defined as the fraction of favorable outcome to the
total number of outcome. Therefore the probability in this case is given
by [tex]P(even)=\frac{2}{3}[/tex]
f) The ratio of the number of possible outcomes to the number of possible outcomes that do not occur is known as the odds in favor.
Therefore odds in favor = 2:1
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Calculate the length of a chord of a circle of radius 26cm if the chord is 10cm from the center of the circle
Answer: see explanation
Step-by-step explanation:
The 10 cm distance is measured perpendicularly to the chord, forming a right angle and bisecting the chord. Thus half of the chord, the segment from the center of the chord, and a radius to the end of the chord form a right triangle. The hypotenuse is 26 cm and one leg is 10 cm, so the other leg is given by the Pythagorean theorem: a^2 + 10^2 = 26^2, giving a = 24 cm. Since a is half the chord, the chord is 2a = 48 cm in length.
Hence, the length of a chord of a circle is [tex]48cm[/tex].
What is the circle?
A circle is defined as a two-dimensional figure, which is round in shape where all the points on the surface of the circle are equidistant from the center point is called “[tex]P[/tex]”.
Here given that,
A circle of radius [tex]26[/tex]cm if the chord is [tex]10[/tex]cm from the center of the circle.
So,
The [tex]10[/tex]cm from the center of the circle is perpendicular of the chord and the hypotenuse is [tex]26[/tex]cm .
As we know
[tex]H^2=B^2+P^2[/tex] .......[tex](1)[/tex]
Substituting the values in the equation [tex](1)[/tex], we get
[tex](26)^2=(10)^2+B^2\\B^2=676-100\\B^2=576\\B=\sqrt{576}\\B=24cm[/tex]
Hence, the length of a chord of a circle is [tex]48cm[/tex].
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You decide you need a new computer. The cost of the computer is $864. However, the store also offers a rent to own option which will cost $41 per week for 24 weeksHow much more will the rent to own option cost after you have made all of the payments? $
The rent option will cost 120 more dollars than the outright cost of the computer .
How to find how much more the rent to own option cost?The outright cost of the computer is $864.
The store also offers a rent to own option which will cost $41 per week for 24 weeks.
Therefore, the total cost for the rent option is as follows:
cost of the computer for rent option = 41 × 24
cost of the computer for rent option = 984 dollars
Therefore,
difference in cost = 984 - 864
difference in cost = 120 dollars
Therefore, the rent option will cost 120 more dollars than the outright cost of the computer.
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125 tickets at $6 and $10 were sold for $1,022. How many $6 tickets and how many $10 tickets were sold?
Answer:
This is the answer :20 5/6 and 102.2
Kent Fuller is in the 26 percent tax bracket. A nontaxable employee benefit with a value of $2,400 would have a tax-equivalent value of: (Round your
answer to the nearest whole number.)
The tax equivalent value will be $3243. The third option is correct
Tax bracket Kent Fuller is currently in is 26 percent
Nontaxable employee benefits value: $2400
The return that a taxable benefit would need to provide in order to match the yield on a comparable tax-exempt benefit is known as the tax-equivalent value. This is very useful for investors to compare the return between a tax-free and a taxable alternative.
Finding out the tax equivalent value using the formula:
Tax equivalent value = Tax exempt value/(1 - Tax Rate)
Tax equivalent value = 2400/(1 - 0.26)
= 2400/0.74
Tax equivalent value = 3243.24 or 3243
Therefore, the tax equivalent value will be $3243. Hence, the third option is correct
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Pls answer this question
Answer: 1/4
Step-by-step explanation:
The easiest way to solve this is to make them all common denominators.
The common denominator for this problem is 24.
Change the denominators:
1/4 = 6/24
4/12 = 8/24
3/8 = 9/24
2/6 = 8/24
This way it is easier to see which one is smaller and closest to 0. In this case, it is 6/24 or 1/4 because 6/24 is the smallest out of all of them.
There are 35 students in a class. Fifteen of them are men and 20 of them are women. The mean height of the men is 69.65 inches, and the mean height of all 35 students is 66.85 inches. What is the mean height of the women?
Answer:
64.75
Step-by-step explanation:
The total heights of men is m
so m/15 = 69.65 => m = 1044.75
The total heights of all students is s
so s/35 = 66.85 => s = 2339.75
so the total heights of women = 2339.75 - 1044.75 = 1295
The mean height of women = 1295/20 = 64.75
what is |x|-7=1 what is the answer
Answer:
it is x=8 or x=-8
Step-by-step explanation:
|x|-7=1
+7 +7
x=8 or x=-8
i'm doing absolute value in math rn so this should be right!! have a good day
PLEASE HELP ME TY!!!!!!
Answer:
3.82×10^7
Step-by-step explanation:
3.82e+7= 3.82×10^7
Which expression has the same value as 4^2 - 6 x 2?
A. 1 - 8^0 + 2^2
B. 3^2 x 6^-2
C. 10 - 3 x 2 + 4^1
The expression which has the same value as the given expression; 4² - 6 × 2 among the answer choices is; Choice C; 10 - 3 x 2 + 4¹.
Which expression has the same value as the given expression?According to the task content; the given expression whose equivalent is to be determined is;
Given;
4² -6 ×2.
It follows from PEMDAS that the exponent should be evaluated and then the multiplication.
Hence, the value of the expression is; 16 - 8
= 8.
For answer choice C, which is correct, the evaluation is as follows;
10 - 3 × 2 + 4¹
= 10 -6 + 4
= 8.
Ultimately, choice C has the same value as the given expression.
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How many even 2 digit positive integers can be written using the numbers 2,4,5,8
Answer: 12 different even 2 digit positive numbers can be witten
Step-by-step explanation:
the even numbers are 44, 24, 54, 84, 22, 42, 52, 82, 28, 48, 58, 88
Is the slope of a linear demand curve positive or nega-
tive?
The slope of a linear demand curve is negative
The demand curve's negative slope indicates that there is an inverse link between price and demand.
It is true that the demand curve's negative slope indicates an inverse link between price and quantity desired. According to the demand curve, demand declines as prices increase and rises as prices decrease.
This statement is false since it only applies to Giffen products, where the demand curve has a positive slope and a direct correlation between price and quantity desired.
Because unit requests rise when prices decrease and decline when prices rise, the demand curve often slopes downward (i.e., is negative). Demand increases when prices are low, but demand decreases when prices are high.
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One integer is selected at random from integers 8 through 38. Find the probability that the number is odd
Answer: 0.48387
Step-by-step explanation:
Solution set = {9,11,13,15,17,19,21,23,25,27,29,31,33,35,37}
Sample Set = {8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,37,38}
out of the 31 numbers, 15 are odd
15/31 = 0.48387 probability.
Alfonso borrowed $2500 total from two different banks. One bank charged 4% simple interest, the other charged 3.5% simple interest. After one year, the amount of interest that Alfonso owed was $91.25. How much money did Alfonso borrow from each bank.
Alfonso borrowed $750 from the bank with 4% simple interest and borrowed $1,750 from the bank with 3.5% simple interest.
How do we calculate the amount borrowed?
Let:
x = amount borrowed from the bank that charged 4% simple interest
y = amount borrowed from the bank that charged 3.5% simple interest
Therefore, we have:
x + y = 2,500 ............................... (1)
0.04x + 0.035y = 91.25 ............................. (2)
From equation (1), we have:
x = 2,500 - y ....................... (3)
Substituting equation (3) into (2) and solving for y, we have:
0.04(2,500 - y) + 0.035y = 91.25
100 - 0.04y + 0.035y = 91.25
100 - 0.005y = 91.25
-0.005y = 91.25 - 100
-0.005y = -8.75
y = -8.75 / -0.005
y = $1,750
Substituting for y in equation (3), we have;
x = 2,500 - 1,750
x = $750
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Could you show the work so I can learn? Thank you!
Answer:
38363
Step-by-step explanation:
m/NMG = 46°, m/NML = 11x + 11, and m/GML = 8x-5. Find x.
we get that, the value of x for the given angles in the diagram is 10°.
We can see that:
∠ NMG + ∠ GML = ∠ NML
Substituting the values of the angles in the equation, we get that:
46 ° + 8 x - 5° = 11 x + 11 °
Combining the like terms:
8 x + 41° = 11 x + 11°
Taking variables on one side:
11 x - 8 x = 41° - 11°
Combining the like terms again:
3 x = 30°
Divide both sides by 3:
x = 30° / 3
x = 10°
Therefore, we get that, the value of x for the given angles in the diagram is 10°.
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Your question was incomplete. Please refer the content below:
∠ NMG = 46°, ∠ NML = 11x + 11, and ∠ GML = 8x-5. Find x.
Use the graph of the line to answer the questions. what is an equation of the line in slope-point form? _____
How can the point-slope form be written in function notation?
_______
The slope-point form is y + 1 = (1/4) (x +2)
The function notation for the point-slope form is f(x) = -1 + (1/4) (x +2)
From the graph, we get two points (x₁, y₁) = (-2, -1) and (x₂, y₂) = (2,0)
Slope, m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{0 --1}{2--2}[/tex]
= 1/4
The slope-point form of a line is (y-y₁) = m(x-x₁), where (x, y) is the general point on the line, (x₁, y₁) is a given point on the line and m, the slope of the line.
So here the slope-point form of the line is,
(y- -1) = 1/4(x- -2)
⇒ y + 1 = (1/4) (x +2)
For the function notation, we put y = f(x) simply and write it as,
f(x) = -1 + (1/4) (x +2)
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the first one is c
the second is B
Step-by-step explanation:
. Compare the value of the 4's in this number
64,432
Write your statement
The 4 on the right is 10 times larger than the 4 on the left! (=^.^=)
Un terreno tiene 205 metros y cada metro cuesta 315 cuánto vale el terreno
Answer:
64,765
Step-by-step explanation:
multiplicas porque dice que uno cuesta 315 entonces si hay 205 hay 64,765
somebody please help me
Answer:
4
Step-by-step explanation:
[tex] \frac{(2 {)}^{3}(2 {)}^{4} }{(2 {)}^{5} } [/tex]
→[tex] {2}^{3 + 4 + 5} [/tex]
→[tex] {2}^{2} = 4[/tex]
Hope it helpsANSWER RIGHT AWAY PLEASE!
question one: simply the exponents. (show your work)
- 21^0 = ?
- (2/3)^-2 = ?
question two: Solve the problem. (leave your answer as a base number with an exponent and show your work)
- 4^6 / 4^2 = ?
question three: Convert the number into numerical form. (show your work)
- 8.723 x 10^-10 = ?
question four: Solve the problem. (leave your answer in scientific notion and show your work)
- 5.1 x 10^8 - 2.3 x 10^3 = ?
- 6 x 10^5 x 1.1 x 10^7 = ?
PLEASE ANSWER I WILL GIVE 100 POINTS TO ANYONE WHO ANSWERS AND MARK BRAINLIEST AT LEAST ANSWER THE ONES YOU KNOW
Answer:
1. 1, 9/4
2. 4^4
3. -0.0000000008723
4. -5100023*10^2, -6.6*10^(12)
Step-by-step explanation:
[tex]21^0 = 1;\ n^0\ always\ is\ 1.\\(\frac{2}{3})^{-2} = (\frac{3}{2})^2 = \frac{3^2}{2^2} = \frac{9}{4}; n^m\ is\ performed\ by\ doing\ n*n,\ m\ times.\\i.e.,\\ n^2=n*n;\\n^3=n*n*n;\\ n^4=n*n*n*n\\\\\frac{4^6}{4^2};\ original\\\\\frac{(4^2)^3}{4^2};\ (n^{mc}\ can\ be\ rewritten\ as\ (n^m)^c\\\\\frac{4^2}{4^2}*\frac{(4^2)^2}{1};\ split\ the\ fraction\ into\ two\ parts\ because\ of\ multiplication\ rules.\\\\1*4^4;\ \frac{n}{n}\ can\ be\ written\ as\ 1.\ \frac{n}{1}\ can\ be\ written\ as\ n.\\\\4^4[/tex]
Technically, [tex]4^4[/tex] is 256, but the answer is requested as a number with an exponent.
-8.723 * 10^-10 would be -0.0000000008723.
10^-10 = [tex]\frac{1}{10^{10}}[/tex], which would mean you must move your decimal left by the number of places indicated by the exponent.
[tex]-5.1*10^8-2.3*10^3 = x\\-51*10^7-23*10^2 = x\\10^7=10^{5+2}=10^5*10^2\\-5100000*10^2-23*10^2=x\\-5100023*10^2=x;\ combine\ like\ terms.\\-6*10^5 * 1.1*10^7 = x\\-6*1.1*10^5*10^7;\ rewrite\ for\ simplification.\\-6.6*10^{12}=x[/tex]
two cars travel the same distance car one travels at 50 mph and car 2 at 65 mph if it takes car 1 one more hour to travel than car two how far did the cars travel
If LM = 22 and MN = 15, find LK
A company produces a logic board for computers. The annual fixed cost for the board is $323,902, and the variable
cost is $109 per board. If the logic board sells for $479, write an inequality that gives the number of logic boards that
will give a profit for the product.
Write the linear inequality?
The inequality that give the number of logic boards that will give a profit for the product is profit = x($479-$109)-$323,902.
Given that, a company produces a logic board for computers. The annual fixed cost for the board is $323,902, and the variable cost is $109 per board. So, we have to write an inequality which will gives the number of logic boards that will give a profit for the product, if the logic board sells for $479.
We simply use the formula that,
profit + annual fixed cost = number of logic board sold x (logic board sales price-variable cost of logic board)
Let the number of logic board sold be x.
profit + $323,902 = x($479-$109)
profit = x($479-$109)-$323,902
Therefore, we can denote the above listed information in profit = x($479-$109)-$323,902 term. This is the required answer.
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|3x|-4=2x-4 Solve for x
Answer:
Your answer is x=0
9. Your family is looking for a new Internet company. Comcast has a $50 installation fee
and $60 per month for Internet. Centurylink has no installation fee and $60 per month.
Your grandparents decide to register with Comcast the sametime your family registers
with Centurylink. At what month will your family pay the same as your grandparents?
Answer:
in the heaven or hell hhhvgvcgdgghh
Please help
Write the equation of the line shown
Answer:
Equation of line is y = 8 as it is horizontal
what type of number is 16/14
Answer:
fraction..............................
or improper fraction.
What kind of numbers are −5 and 7?
-5 and 7 are real and rational numbers also they are integers.
What is a rational number ?Numbers which can be written in the form of p/q are rational numbers where q must not be zero.
According to the given question we have to determine what kind of numbers are -5 and 7.
In a most simple way we can say that - 5 is an negative integer and 7 is a positive integer.
But -5 can be written as -5/1 which is a rational number also and 7 can also be written as 7/1 so we can also say they are integers al well as rational numbers.Lastly they are real numbers as they don't have any imaginary part 'i' in it.
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