Answer:
Let the number be x
The statement
A number is increased by five is written as
x + 5
Then it's squared
So we the final answer as
(x + 5)²Hope this helps
Which of the following is equivalent to4−(−5∗9−1)÷2+(5)2−7?
Answer:
-20
Step-by-step explanation:
Follow the PEDMAS order (from top to bottom):
Parentheses
Exponents
Division and Multiplication
Addition and Subtraction
(-5 × 9 - 1) ÷ 2 + (5)2 - 7
(-45 - 1) ÷ 2 + 10 - 7
-46 ÷ 2 + 10 - 7
-23 + 10 - 7
-13 - 7
-20
Answer:
-20
Step-by-step explanation:
=> [tex](-5 * 9-1)/2+(5)2-7[/tex]
Expanding parenthesis
=> [tex](-45-1)/2+10-7[/tex]
=> [tex]-46/2 + 3[/tex]
=> -23 + 3
=> -20
The formula for the volume of a right circular cylinder is
V = 72h. If r = 26 and h = 5b + 3, what is the
volume of the cylinder in terms of b?
Answer:
20b^3+12b^2
Step-by-step explanation:
v=(2b)^2 (5b+3) = 4b^2 (5b+3) = 20b3+12b^2
How much would a computer system cost if you pay $200 down and made 12 monthly payments of only $98.95?
Answer:
$1387.4
Step-by-step explanation:
Total cost for the computer will be sum of down payments and monthly installments.
____________________________________
Given
down payment = $200
monthly installment value = $98.85
no. of installments = 12
total value of monthly installments = 12*98.95 = $1187.4
Total cost of computer system = $200+ $1187.4 = $1387.4
NEED HELP LIKE NOW PLSSS HELP 50 POINTS Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar and ^ to indicate an exponent. Find the missing term.
Answer:
The expression that fits into the box is x¹⁵⁸
Step-by-step explanation:
Let the empty box be y
(x¹²)⁵ × (x⁻²)⁹ × y = (x⁴⁰)⁵
Here, we will apply the laws of indices.
The laws of indices gives the answer for the expressions
1) xᵏ × xˢ = xᵏ⁺ˢ
2) xᵏ ÷ xˢ = xᵏ⁻ˢ
3) (xᵏ)ˢ = xᵏ•ˢ
So,
(x¹²)⁵ = x⁶⁰
(x⁻²)⁹ = x⁻¹⁸
(x⁴⁰)⁵ = x²⁰⁰
(x¹²)⁵ × (x⁻²)⁹ × y = (x⁴⁰)⁵
Becomes
x⁶⁰ × x⁻¹⁸ × y = x²⁰⁰
x⁶⁰⁻¹⁸ × y = x²⁰⁰
x⁴² × y = x²⁰⁰
y = x²⁰⁰ ÷ x⁴²
y = x²⁰⁰⁻⁴² = x¹⁵⁸
Hope this Helps!!!
A clinic treated 536 children over a 4month period how many children did the clinic treat in 1month
536 children = 4 months
536/4 children = 4/4 months ... divide both sides by 4
134 children = 1 month
The clinic treated 134 children in 1 month. This is assuming that every month was the same number of patients.
Answer: 134Step-by-step explanation:
Solution,
Number of children treated in 4 months = 536
Now, let's find the number of children treated in one month:
[tex] = \frac{total \: number \: of \: childrens \: }{total \: month} [/tex]
Plug the values
[tex] = \frac{536}{4} [/tex]
Calculate
[tex] = 134 \: [/tex] childrens
Therefore, A clinic treated 134 childrens in one month.
Hope this helps...
Best regards!!
What is the equation of the line with a slope of 4 and a y-intercept of -5?
Answer:
y = 4x -5
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = 4x -5
A recipe for 1 batch of muffins used 2/3 of blueberries. Amir made 2 1/2 batches of muffins. How many cups of blueberries did he use? A. 1 4/6 B. 1 5/6 C. 2 2/6 D. 3 1/6. Please show your work.
Answer:
A. 1 4/6 cups of blueberries
Step-by-step explanation:
1 -- 2/3
Proportion, Batches to Blueberries
1*(2 1/2) -- (2/3)( 2 1/2)
Because we are now multiplying the 1 batch to 2 1/2 batches. So to keep the proportion balanced/equal we are using the same operation on the right side of the proportion
2 1/2 -- (2/3)( 5/2 )
2 1/2 -- 5/3
2 1/2 -- 1 2/3
Simplify
On the right side shows the blueberries for 2 1/2 batches. 1 2/3 = 1 4/6
Hope that helps! Tell me if you need more info
The probability density of a random variable X is given in the figure below.
From this density, the probability that X is between 0.68 and 1.44 is:
Find the probability that X is between 0.68 and 1.44.
Answer:
0.38
Step-by-step explanation:
The area under the probability density curve is equal to 1.
The width of the rectangle is 2, so the height of the rectangle must be ½.
The probability that X is between 0.68 and 1.44 is therefore:
P = ½ (1.44 − 0.68)
P = 0.38
Using the uniform distribution, it is found that there is a 0.38 = 38% probability that X is between 0.68 and 1.44.
-----------------------
Uniform probability distribution:
Has two bounds, a and b. The probability of finding a value between c and d is:[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
In this problem:
The bounds are 0 and 2, thus [tex]a = 0, b = 2[/tex].The probability that X is between 0.68 and 1.44 is:
[tex]P(0.68 \leq X \leq 1.44) = \frac{1.44 - 0.68}{2 - 0} = 0.38[/tex]
0.38 = 38% probability that X is between 0.68 and 1.44.
A similar problem is given at https://brainly.com/question/13547683
Change -2Y - X=-2 to the slope-intercept form of the equation of a line.
Answer:
y = -(1/2)x+1
Step-by-step explanation:
-2Y - X = -2
Add x to both sides:
-2Y = X - 2
Divide both sides by -2:
Y = -(1/2)x+1
You could also use the shortcuts:
For Ay+Bx=C, the slope is -B/A and the y-intercept is C/A.
Slope = -B/A = -(-1)/(-2) = 1/-2 = -(1/2)
Y-intercept = C/A = (-2)/(-2) = 1
y = mx + b ---> y = -(1/2)x + 1
Answer:
y = -1/2x +1
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
-2y -x = -2
Solve for y
Add x to each side
-2y = x-2
Divide by -2
-2y/2- = x/-2 -2/-2
y = -1/2x +1
An aquarium is to be built to hold 60 m3of volume. The base is to be made of slate and the sides aremade of glass, and it has no top. If stone costs $120/m2and glass costs $30/m2, find the dimensions which willminimize the cost of building the aquarium, and find the minimum cost.
Answer:
Aquarium dimensions:
x = 3,106 m
h = 6,22 m
C(min) = 1277,62 $
Step-by-step explanation: (INCOMPLETE QUESTION)
We have to assume:
The shape of the aquarium (square base)
Let´s call "x" the side of the base, then h ( the heigh)
V(a) = x²*h h = V(a)/x²
Cost of Aquarium C(a) = cost of the base (in stones) + 4* cost of one side (in glass)
C(a) = Area of the base *120 + 4*Area of one side*30
Area of the base is x²
Area of one side is x*h or x*V(a)/x²
Area of one side is V(a)/x
C(x) = 120*x² + 4*30*60/x
C(x) = 120*x² + 7200/x
Taking derivatives on both sides of the equation we get
C´(x) = 2*120*x - 7200/x²
C´(x) = 0 means 240 *x - 7200/x² = 0
240*x³ - 7200 = 0
x³ = 7200/240
x = 3,106 m and h = 60 /x² h = 6,22 m
and C (min) = 120*(3,106)³ - 7200 / 3,106
C(min) = 3595,72 - 2318,1
C(min) = 1277,62
For the following data set, you are interested to determine the "spread" of the data. Would you employ calculations for the sample standard deviation, or population standard deviation for this data set: You are interested in the heights of students at a particular middle school. Your data set represents the heights of all students in the middle school with 600 students.
Answer: Use calculations for population standard deviation.
Step-by-step explanation:
The population standard deviation is defined as
a parameter which is a fixed valueevaluated by considering individual in the population.A sample standard deviation is defined as
a statistic ( whose value is not fixed ). Evaluated from a subset (sample) of population.Since, data set represents the heights of all students in the middle school with 600 students which is population here.
So, we do calculations to find population standard deviation.
evaluate the expression 2(5 -(1/2m)) - 7 where m =4
Answer:
-1
Step-by-step explanation:
since m=4
we substitute in eqn which is 2(5-(1/2m))
2(5-(1/2(4)))
2(5-2)-7
=-1
A line with a slope of 5 passes through the point (2,10). What is its equation in slope intercept form
Answer:
The answer is
y = 5xStep-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
From the question
Slope / m = 5
Equation of the line passing through point (2 , 10) is
y - 10 = 5(x - 2)
y - 10 = 5x - 10
y = 5x - 10 + 10
y = 5xHope this helps you
A person has a bag containing dimes and nickels. There are a total of 106 coins in the bag, and the total value of coins is $7.90. How many dimes and nickels are in the bag?
Answer:
52 dimes and 54 nickels
Step-by-step explanation: 52 dimes is $5.20 and 54 nickels is $2.70
Total coins 106 total $7.90
Letters a, b, c, and d are angles measures. Lines m and n are cut by transversal p. At the intersection of lines p and m, labeled clockwise, from uppercase left, the angles are: a, b, c, blank. At the intersection of lines p and n, labeled clockwise, from uppercase left, the angles are: blank, blank, d, blank. Which equation is enough information to prove that lines m and n are parallel lines cut by transversal p? Select three options. a = c a = d c = d b + c = 180° b + d = 180°
Answer:
b, c, e
Step-by-step explanation:
the reasons have to include an angle from both of the parallel lines. by using process of elimination it is b, c, e. I also got it right
Answer:
B. a=d
C. c=d
E. b + d=180°
Step-by-step explanation:
Got Correct On MyPath.
PLEASE HELP!! Write the proportion. 120 feet is to 150 feet as 8 feet is to 10 feet. (18 points!!)
Answer:
4 : 5
Step-by-step explanation:
you can divide 120 and 150 by 30 and 8 and 10 by 2.
120/30 = 4
150/30 = 5
8/2 = 4
10/2=5
Answer: 4:5
Step-by-step explanation:
Use Newton's method to approximate the indicated root of the equation correct to six decimal places. The negative root of ex = 4 − x2
Answer:
x = -1.964636
Step-by-step explanation:
Given equation;
eˣ = 4 - x²
This can be re-written as;
eˣ - 4 + x² = 0
Let
f(x) = eˣ - 4 + x² -----------(i)
To use Newton's method, we need to get the first derivative of the above equation as follows;
f¹(x) = eˣ - 0 + 2x
f¹(x) = eˣ + 2x -----------(ii)
The graph of f(x) has been attached to this response.
As shown in the graph, the curve intersects the x-axis twice - around x = -2 and x = 1. These are the approximate roots of the equation.
Since the question requires that we use the negative root, then we start using the Newton's law with a guess of x₀ = -2 at n=0
From Newton's method,
[tex]x_{n+1} = x_n + \frac{f(x_{n})}{f^1(x_{n})}[/tex]
=> When n=0, the equation becomes;
[tex]x_{1} = x_0 - \frac{f(x_{0})}{f^1(x_{0})}[/tex]
[tex]x_{1} = -2 - \frac{f(-2)}{f^1(-2)}[/tex]
Where f(-2) and f¹(-2) are found by plugging x = -2 into equations (i) and (ii) as follows;
f(-2) = e⁻² - 4 + (-2)²
f(-2) = e⁻² = 0.13533528323
And;
f¹(2) = e⁻² + 2(-2)
f¹(2) = e⁻² - 4 = -3.8646647167
Therefore
[tex]x_{1} = -2 - \frac{0.13533528323}{-3.8646647167}[/tex]
[tex]x_{1} = -2 - \frac{0.13533528323}{-3.8646647167}[/tex]
[tex]x_{1} = -2 - -0.03501863503[/tex]
[tex]x_{1} = -2 + 0.03501863503[/tex]
[tex]x_{1} = -1.9649813649[/tex]
[tex]x_{1} = -1.96498136[/tex] [to 8 decimal places]
=> When n=1, the equation becomes;
[tex]x_{2} = x_1 - \frac{f(x_{1})}{f^1(x_{1})}[/tex]
[tex]x_{2} = -1.96498136 - \frac{f(-1.9649813)}{f^1(-1.9649813)}[/tex]
Following the same procedure as above we have
[tex]x_{2} = -1.96463563[/tex]
=> When n=2, the equation becomes;
[tex]x_{3} = x_2 - \frac{f(x_{2})}{f^1(x_{2})}[/tex]
[tex]x_{3} = -1.96463563- \frac{f( -1.96463563)}{f^1( -1.96463563)}[/tex]
Following the same procedure as above we have
[tex]x_{3} = -1.96463560[/tex]
From the values of [tex]x_2[/tex] and [tex]x_3[/tex], it can be seen that there is no change in the first 6 decimal places, therefore, it is safe to say that the value of the negative root of the equation is approximately -1.964636 to 6 decimal places.
Newton's method of approximation is one of the several ways of estimating values.
The approximated value of [tex]\mathbf{e^x = 4 - x^2}[/tex] to 6 decimal places is [tex]\mathbf{ -1.964636}[/tex]
The equation is given as:
[tex]\mathbf{e^x = 4 - x^2}[/tex]
Equate to 0
[tex]\mathbf{4 - x^2 = 0}[/tex]
So, we have:
[tex]\mathbf{x^2 = 4}[/tex]
Take square roots of both sides
[tex]\mathbf{ x= \pm 2}[/tex]
So, the negative root is:
[tex]\mathbf{x = -2}[/tex]
[tex]\mathbf{e^x = 4 - x^2}[/tex] becomes [tex]\mathbf{f(x) = e^x - 4 + x^2 }[/tex]
Differentiate
[tex]\mathbf{f'(x) = e^x +2x }[/tex]
Using Newton's method of approximation, we have:
[tex]\mathbf{x_{n+1} = x_n - \frac{f(x_n)}{f'(x_n)}}[/tex]
When x = -2, we have:
[tex]\mathbf{f'(-2) = e^{(-2)} +2(-2) = -3.86466471676}[/tex]
[tex]\mathbf{f(-2) = e^{-2} - 4 + (-2)^2 = 0.13533528323}[/tex]
So, we have:
[tex]\mathbf{x_{1} = -2 - \frac{0.13533528323}{-3.86466471676}}[/tex]
[tex]\mathbf{x_{1} = -2 + \frac{0.13533528323}{3.86466471676}}[/tex]
[tex]\mathbf{x_{1} = -1.96498136}[/tex]
Repeat the above process for repeated x values.
We have:
[tex]\mathbf{x_{2} = -1.96463563}[/tex]
[tex]\mathbf{x_{3} = -1.96463560}[/tex]
Up till the 6th decimal places,
[tex]\mathbf{x_2 = x_3}[/tex]
Hence, the approximated value of [tex]\mathbf{e^x = 4 - x^2}[/tex] to 6 decimal places is [tex]\mathbf{ -1.964636}[/tex]
Read more about Newton approximation at:
https://brainly.com/question/14279052
The total cost of a sweater and a jacket was $71.55 If the price of the sweater was $3.19 less than the jacket, what was the price of the sweater? Express your answer as a simplified fraction or a decimal rounded to two places.
Answer: $34.18
Step-by-step explanation:
Let the cost of the Jacket = $x and
The cost of the sweater. = $y
Now total price. = $71.55.
So, $x + $y. = $71.55 -- 1
From the second statements, the price of the sweater was $3.19 less than the price of the jacket. Transforming that into equation
y = ( x - $3.19 )
Now substitute for y in the equation (1) above.
x + ( x - 3.19 ) = 71.55
Now solve the equation
x + x - 3.19 = 71.55
2x - 3.19. = 71.55
2x = 71.55 + 3.19
2x. = 74.74
x = 74.74/2
= $37.37. cost of the jacket
Now to determine the cost of the sweater,
$71.55 - $37.37 = $34.18
The cost of the sweater = $34.18.
CAN ANYONE HELP ME PLEASE? Jen Butler has been pricing Speed-Pass train fares for a group trip to New York. Three adults and four children must pay $106. Two adults and three children must pay $75. Find the price of the adult's ticket and the price of a child's ticket.
Answer:
adult=18$ and children=13$
Step-by-step explanation:
a= adult. and. c= children
first change the statement into linear equation
3a+4c=106
2a+3c=75
then it just solving for a and y
3a+4c=106. a= 75-3c.
2
3(75-3c)+ 4c=106. solve for c
2
c=13
then find c by substituting the value you got into a . you can you either 3a+4c=106
or 2a+3c=75 to find the answer but the value of a is the same.
2a+3c=75. c=13
2a+3(13)=75
2a=75 -39
2a= 36
a=18
Answer:
Adults Ticket = $18
Child's Ticket = $13
Step-by-step explanation:
Let A denote the price of an adult's ticket
Let C denote the price of a child's ticket
It is given that the three adults and four children must pay $106.
Mathematically,
[tex]3A + 4C = 106 \:\:\:\:\:\:\:\:\:\:\: eq. 1[/tex]
It is also given that the two adults and three children must pay $75.
Mathematically,
[tex]2A + 3C = 75 \\\\2A = 75 - 3C[/tex]
[tex]$ A = \frac{(75 - 3C)}{2} \:\:\:\:\:\:\: eq\:. 2 $[/tex]
Substitute eq. 2 into eq. 1
[tex]3A + 4C = 106[/tex]
[tex]$ \frac{3(75 - 3C)}{2} + 4C = 106 $[/tex]
Simplify,
[tex]$ \frac{3(75 - 3C)}{2} + 4C = 106 $[/tex]
[tex]$ \frac{225 - 9C}{2} + 4C = 106 $[/tex]
[tex]$ \frac{225 - 9C + 2(4C)}{2} = 106 $[/tex]
[tex]$ \frac{225 - 9C + 8C}{2} = 106 $[/tex]
[tex]$ 225 - 9C + 8C = 2(106) $[/tex]
[tex]$ 225 - C = 212 $[/tex]
[tex]C = 225 - 212[/tex]
[tex]C = \$13[/tex]
Substitute the value of C into eq. 2
[tex]$ A = \frac{75 - 3(13)}{2} $[/tex]
[tex]$ A = \frac{75 - 39}{2} $[/tex]
[tex]A = \$18[/tex]
Therefore, the price of the adult's ticket is $18 and the price of a child's ticket is $13
A 6 foot person casts a 26 foot shadow. What is the angle of elevation of the sun? (nearest whole degree)
Answer:
13°
Step-by-step explanation:
The trigonometric ratio formula can be used in calculating the angle of elevation (x°) of the sun, as the person makes a right angle with the ground.
The height of the person would be the opposite length = 6 ft, the shadow of the person would be the adjacent length = 26 ft
Therefore, according to the trigonometric ratio formula, we would calculate angle of elevation (x°) as follows:
[tex] tan x = \frac{opposite}{adjacent} [/tex]
[tex] tan x = \frac{6}{26} [/tex]
[tex] tan x = 0.2308 [/tex]
x = tan-¹(0.2308)
x = 12.996
x ≈ 13° (to the nearest whole degree)
The angle of elevation of the sun = 13°
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If
x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this
situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.
Mark this and retum
Save and Exit
Nexi
Submit
Answer: B) 10 three-point questions and 14 five-point questions
Step-by-step explanation:
x represents three-point questions
y represents five-point questions
3x + 5y = 100 → 1(3x + 5y = 100) = 3x + 5y = 100
x + y = 24 → -3(x + y = 24) = -3x -3y = -72
2y = 28
y = 14 (five-point questions)
x + y = 24
x + 14 = 24
x = 10 (three-point questions)
A car is being driven, in a straight line and at a uniform speed, towards the base of a vertical tower. The top of the tower is observed from the car and, in the process, it takes 10 min for the angle of elevation to change from 45° to 60°. After how much more time will this car reach the base of the tower? Options: a. 5( √3+ 1 ) b. 6 (√3 +√2) c. 7 (√3- 1) d. 8 (√3-2)
Answer:
The correct answer is option a.
a. 5( √3+ 1 )
Step-by-step explanation:
Given that the angle changes from 45° to 60° in 10 minutes.
This situation can be represented as right angled triangles [tex]\triangle[/tex]ABC (in the starting when angle is 45°)and [tex]\triangle[/tex]ABD (after 10 minutes when the angle is 60°).
AB is the tower (A be its top and B be its base).
Now, we need to find the time to be taken to cover the distance D to B.
First of all, let us consider [tex]\triangle[/tex]ABC.
Using tangent property:
[tex]tan\theta =\dfrac{Perpendicular}{Base}\\\Rightarrow tan 45=\dfrac{AB}{BC}\\\Rightarrow 1=\dfrac{h}{BC}\\\Rightarrow h = BC[/tex]
Using tangent property in [tex]\triangle[/tex]ABD:
[tex]\Rightarrow tan 60=\dfrac{AB}{BD}\\\Rightarrow \sqrt3=\dfrac{h}{BD}\\\Rightarrow BD = \dfrac{h}{ \sqrt3}\ units[/tex]
Now distance traveled in 10 minutes, CD = BC - BD
[tex]\Rightarrow h - \dfrac{h}{\sqrt3}\\\Rightarrow \dfrac{(\sqrt3-1)h}{\sqrt3}[/tex]
[tex]Speed =\dfrac{Distance }{Time}[/tex]
[tex]\Rightarrow \dfrac{(\sqrt3-1)h}{10\sqrt3}[/tex]
Now, we can say that more distance to be traveled to reach the base of tower is BD i.e. '[tex]\bold{\dfrac{h}{\sqrt3}}[/tex]'
So, more time required = Distance left divided by Speed
[tex]\Rightarrow \dfrac{\dfrac{h}{\sqrt3}}{\dfrac{(\sqrt3-1)h}{10\sqrt3}}\\\Rightarrow \dfrac{h\times 10\sqrt3}{\sqrt3(\sqrt3-1)h}\\\Rightarrow \dfrac{10 (\sqrt3+1)}{(\sqrt3-1)(\sqrt3+1)} (\text{Rationalizing the denominator})\\\Rightarrow \dfrac{10 (\sqrt3+1)}{3-1}\\\Rightarrow \dfrac{10 (\sqrt3+1)}{2}\\\Rightarrow 5(\sqrt3+1)}[/tex]
So, The correct answer is option a.
a. 5( √3+ 1 )
The product of 2 numbers is 918 one number is 37 less than the other what are the numbers
Which equation is the inverse of y = 16x2 + 1? y = plus-or-minus StartRoot StartFraction x Over 16 EndFraction minus 1 EndRoot y = StartFraction plus-or-minus StartRoot x minus 1 EndRoot Over 16 EndFraction y = StartFraction plus-or-minus StartRoot x EndRoot Over 4 EndFraction minus one-fourth y = StartFraction plus-or-minus StartRoot x minus 1 EndRoot Over 4 EndFraction
Answer:
The inverse is ±sqrt((x-1))/ 4
Step-by-step explanation:
y = 16x^2 + 1
To find the inverse, exchange x and y
x = 16 y^2 +1
Then solve for y
Subtract 1
x-1 = 16 y^2
Divide by 16
(x-1)/16 = y^2
Take the square root of each side
±sqrt((x-1)/16) = sqrt(y^2)
±sqrt((x-1))/ sqrt(16) = y
±sqrt((x-1))/ 4 = y
The inverse is ±sqrt((x-1))/ 4
Answer:
D
Step-by-step explanation:
When a survey was conducted among 100 students to find their favorite pizza topping, 45 students voted for pepperoni, 25 for mushrooms, and 30 voted for cheese. If a pie chart were made showing the number of votes for each topping, the central angle for the cheese sector would be __________.
Answer:
The central angle for the cheese sector would be 108 degrees.
Step-by-step explanation:
We know that a pi chart takes the form of a circle so the total angle measure is 360 degrees.
Now we want to find out what ratio of the pie chart that cheese takes up and apply it to the total degree measure.
30 of 100 students voted for cheese:
so the ratio would be 30/100 or 3/10
Now apply that to the total angle measure:
3/10*360 degrees= 108 degrees.
Without actually solving the problem, choose the correct solution by deciding which choice satisfies the given conditions.
Kesha has a total of 100 coins, all of which are either dimes or quarters. The total value of the coins is $14.50. Find the number of each type of coin.
Which choice satisfies the given conditions?
O A. 70 dimes, 30 quarters
B. 20 dimes, 80 quarters
C. 40 dimes, 42 quarters
Answer:
A. 70 dimes, 30 quarters
Step-by-step explanation:
Only options A and B create a total of 100 coins. It cannot be option B because 80 quarters by itself, is already over $14.50.
a lottery game has balls numbered 1 through 19. what is the probability selected ball is an even numbered ball or a 4 g
Answer:
Probability ball is an even numbered ball or a 4 [P(A or B)] = 9 / 19
Step-by-step explanation:
Given:
Number of balls = 1 to 19
Find:
Probability ball is an even numbered ball or a 4
Computation:
Total even number = 2, 4, 6, 8, 10, 12, 14, 16, 18
Probability to get even number P(A) = 9 / 19
Probability to get 4 number P(B) = 1 / 19
P(A and B) = 1 / 19 (4 common)
Probability ball is an even numbered ball or a 4 [P(A or B)]
P(A or B) = P(A) + P(B) -P(A and B)
P(A or B) = [9 / 19] + [1 / 19] - [1 / 19]
Probability ball is an even numbered ball or a 4 [P(A or B)] = 9 / 19
a sample of bacteria is growing at an hourly rate of 14% according to the exponential growth function.the sa
Answer:
pleasse elaborate more
Step-by-step explanation:
there are 80 students in class among them 25 are girls and remaining are boys 10 foreigners and remaining are neplese. If 62.5% of them are nepalese boys, what is the probability of selecting foreign girl?
Answer:
1/4
Step-by-step explanation:
There are 80 students.
25 are girls and 55 are boys.
10 are foreigners and 70 are Nepalese.
62.5% are Nepalese boys.
This means that the number of Nepalese boys is:
62.5/100 * 80 = 50
There are 50 nepalese boys and so there are 20 nepalese girls.
The probability of selecting a Nepalese girl is therefore:
20 / 80 = 1/4
Six identical coins are tossed. How many possible arrangements of the coins include three heads and three tails?
Answer:
The possible arrangement= 18 ways
Step-by-step explanation:
Six identical coin are tossed.
Coin has only a tail and a head.
In how many possible ways can the arrangement be 3 head and 3 tail.
The possible arrangement= (3! * 3!)/2
The reason for dividing by two because coin has two face.
The possible arrangement= (3! * 3!)/2
The possible arrangement=( 6*6)/2
The possible arrangement= 36/2
The possible arrangement= 18 ways