The simple interest will be 18$
The length of the diagonal of a rectangle is 181 inches.
Which statement describes the length of the diagonal?
Answer:
181 is the thing is what it says it is just find the volum
Step-by-step explanation:
Answer:
13 and 14 inches
Step-by-step explanation:
Geomtry east pls help
A cylindrical block of cheese has a 6-inch diameter and is 2 inches thick. After a party, only a sector remains that has a central angle of 45 degrees. Find the volume of the cheese that remains. Show all work
Answer: The volume of cheese remaining is 7 cubic inches (7 in³)
Step-by-step explanation: The cheese is in the shape of a cylinder. The volume of a cylinder is given as follows;
Volume = πr²h
Where r = radius of the top of the cylinder and h = the height of the cylinder.
In this case, the cheese has its radius as 3 inches (that is diameter divided by 2). Also the height is given as the thickness of the cheese which is 2 inches. Note also that part of the cylindrical cheese has been eaten leaving only a potion which has an angle of 45 degrees.
The volume of the left over portion therefore can be calculated as follows;
Volume = (∅/360) x πr²h
Volume = (45/360) x 3.14 x 3² x 2
Volume = (1/8) x 3.14 x 9 x 2
Volume = (1/8) x 56.52
Volume = 7.065
Volume ≈ 7
Therefore the volume of cheese that remains is 7 cubic inches (7 inches³) approximately.
Question 2
0 Find 2/3 + 1/2
Answer:
1 1/6
Step-by-step explanation:
Answer:
7/6
Step-by-step explanation:
2/3 + 1/2 = (2*2)/(3*2)+ (1*3)/(2*3)=4/6+3/6=(4+3)/6=7/6
Or the mixed numer: 7/6 =1 1/6
The slope of the line passing through the points (6,2) and (7,3) is
3/5
1
-1
Answer:
Step-by-step explanation:
hello :
let : A(6,2) and B(7,3)
the slope is : (YB - YA)/(XB -XA)
(3-2)/(7-6) = 1/1
the slope is : 1
How to find the mad of the numbers 3,7,4,2
Answer:
the mean absolute deviation would be 1.5.
Step-by-step explanation:
Mean: 3 + 7 + 4 + 2 = 16/4 = 4
4 - 3 = 1
4 - 7 = 3
4 - 4 = 0
4 - 2 = 2
(M.A.D) Mean Absolute Deviation: 1 + 3 + 0 + 2 = 6/4 = 1.5
the probability distribution for a game is shown in the table below.
what is the probability of NOT winning a cash prize if the game is played on time?
A) 7/10
B) 1/5
C) 4/5
D) 3/10
Given:
It is given that
Probability of winning $ 0 = [tex]\frac{3}{10}[/tex]
Probability of winning $ 100 = [tex]\frac{1}{5}[/tex]
Probability of winning $ 200 = [tex]\frac{1}{10}[/tex]
Probability of winning $ 500 = [tex]\frac{2}{5}[/tex]
To find the probability of not winning a cash prize.
Explanation:
Not winning cash prize = winning $ 0
So,
Probability of not winning a cash prize
= Probability of winning $ 0
= [tex]\frac{3}{10}[/tex]
Therefore,
The probability of not winning a cash prize is [tex]\frac{3}{10}[/tex]. Option D.
The correct option is D. 3 / 10.The probability of not winning a cash prize when playing the game is 3/10. This is found by subtracting the total probability of winning (7/10) from 1.
To determine the probability of NOT winning a cash prize, we need to find the combined probability of all outcomes except those with a cash prize ($100, $200, $500). According to the table:
→ The probability of winning $100 is 1/5.
→ The probability of winning $200 is 1/10.
→ The probability of winning $500 is 2/5.
→ First, we calculate the total probability of winning a cash prize:
= 1/5 + 1/10 + 2/5
= 2/10 + 1/10 + 4/10
= 7/10
→ Now, the probability of NOT winning a cash prize is:
= 1 - 7/10
= 3/10
Therefore, the probability of not winning a cash prize when the game is played is Option D) 3/10.
The complete question is:
the probability distribution for a game is shown in the table below.
what is the probability of NOT winning a cash prize if the game is played on time?
Outcome :
$0
$100
$200
$500
Probability:
3/10
1/5
1/10
2/5
A) 7/10
B) 1/5
C) 4/5
D) 3/10
What is the length of side s of the square shown below?
The length of side "s" of the square is 3 units, as it is equal to one of the legs of the 45-45-90 right triangle formed by the diagonal of the square.
To find the length of side "s" of the square shown below, we can use trigonometry, specifically the properties of right triangles and the fact that the diagonal divides the square into two congruent 45-45-90 right triangles.
Given information:
The diagonal of the square measures 6 units.
One of the angles at the top of the square is 45 degrees.
Step 1: Recognize the properties of the 45-45-90 triangle:
Since the diagonal divides the square into two congruent right triangles, and one angle is 45 degrees, we have a 45-45-90 triangle. In such a triangle, the two legs (the sides opposite the 45-degree angles) are congruent, and the hypotenuse (the side opposite the 90-degree angle) is √2 times the length of a leg.
Step 2: Use trigonometric ratios:
Let "x" be the length of one leg of the 45-45-90 triangle, which is also equal to side "s" of the square.
From the properties of the 45-45-90 triangle:
x (leg) = s (side of the square)
Hypotenuse = √2 * leg
Given that the diagonal of the square is 6 units, we can relate the diagonal to the legs:
Diagonal = 2 * leg
6 = 2 * x
Now, solve for x (the length of one leg of the triangle and side "s" of the square):
x = 6 / 2 = 3 units
So, the length of side "s" of the square is 3 units.
Therefore, from the given options the correct one is B.
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After opening day, theme park attendance has been tracked at a new park in Destin, FL..
Answer:
13.9% marginal
Step-by-step explanation:
The percentage of tickets sold to Seniors can be found as:
[tex]p(s)=\frac{S}{N}\cdot 100[/tex]
where
S is the number of all tickets sold to seniors
N is the total number of tickets sold
By looking at the table, we see that:
S = 32 + 14 + 54 = 100 is the number of tickets sold to seniors
N = 35 + 87 + 62 + 56 + 177 + 205 + 32 + 14 + 54 = 722 is the total number of tickets sold
Therefore, the percentage is:
[tex]p(s)=\frac{100}{722}\cdot 100 =13.9\%[/tex]
The three different types of frequencies are defined as:
- Joint: the frequency of a single category calculated with respect to the total number --> this is not the case
- Marginal: the frequency of an entire row/column over the total --> this is the case
- Conditional: the frequency of a single category over a subset of the total --> this is not the case
So, the correct answer is
13.9% marginal
3 + x + x = 15
Just need a simple answer and explanation thank you
Answer:
6
Step-by-step explanation:
3+x+x=15
3+2x=15
2x=15-3
2x=12
x=12/2
x=6
Answer:
x=6
Step-by-step explanation:
x=6 because if you simplify this equation you get 3 + 2x = 15. The first step to solving a equation is having the x value on one side of the equation and the number value on one side. to do this we can subtract 3 from both sides of the equation and get the equation 2x=12. which would mean x=6.
Line AB is parallel to line CD. Which statement is true?
A)
Angle d is congruent to angle b.
B)
Angle d is congruent to angle c.
Angle d is congruent to angle e.
Angle d is congruent to angle f.
Answer:
c
Step-by-step explanation:
Is the leading coefficient of the function positive or negative?
Answer:
Negative.
Step-by-step explanation:
To understand the question, you first must understand the slopes of different types of equations.
A linear equation: [tex]y = 2x[/tex] will travel from the third quadrant to the first.
If you plug in 2 for x, y will equal 4. Both values are positive, leading to a positive correlation.
A linear equation: [tex]y = -3x[/tex] will face the other direction, as shown in your attached image. When you plug in a positive number for x, like 5, y will equal -15, making the graph go up and left towards negative values.
19. Find the area of a circle with a
circumference of 18.84 yards.
Answer:
28.25
Step-by-step explanation:
Final answer:
The area of a circle with a circumference of 18.84 yards is approximately 28.274 square yards, found by first calculating the radius from the circumference and then using the area formula πr².
Explanation:
To find the area of a circle with a given circumference, we first need to determine the radius of the circle using the circumference. The formula to find the circumference C is C = 2πr, where r is the radius of the circle and π (pi) is approximately 3.14159. Since we are given that the circumference C is 18.84 yards, we solve for the radius r as follows:
r = C / (2π)
r = 18.84 yd / (2 × 3.14159)
r = 3 yards (approximately)
Once we have the radius, we can calculate the area of the circle using the formula:
A = πr²
A = π × (3 yd)²
A = 3.14159 × 9 yd²
A = 28.274 yards² (approximately)
Therefore, the area of the circle with a circumference of 18.84 yards is roughly 28.274 square yards.
On Monday a team of street sweepers cleaned 2 1/2 city blocks Tuesday the team cleaned 1/4 as many blocks as on Monday how many city blocks did the streets sweepers clean on tuesday
On Tuesday, the street sweepers cleaned [tex]\( \frac{5}{8} \)[/tex] city blocks.
On Tuesday, the team of street sweepers cleaned [tex]\( \frac{1}{4} \)[/tex] as many blocks as they did on Monday.
Given that they cleaned [tex]\( 2\frac{1}{2} \)[/tex] city blocks on Monday, we need to find [tex]\( \frac{1}{4} \)[/tex] of this amount to determine how many blocks they cleaned on Tuesday.
To find [tex]\( \frac{1}{4} \)[/tex] of [tex]\( 2\frac{1}{2} \),[/tex] we multiply [tex]\( 2\frac{1}{2} \)[/tex] by [tex]\( \frac{1}{4} \)[/tex]:
[tex]\[ 2\frac{1}{2} \times \frac{1}{4} = \frac{5}{2} \times \frac{1}{4} = \frac{5}{8} \][/tex]
So, the street sweepers cleaned [tex]\( \frac{5}{8} \)[/tex] city blocks on Tuesday.
22 points Please Help!!
Which is enough information to prove that u parallel to v? Lines u and v are cut by transversal t. Clockwise from top left, the angles formed by t and u are 1, 2, 3, 4; formed by v and t are 5, 6, 7, 8.
A) Angle 2 is congruent to angle 4
B) Angle 4 is congruent to angle 8
C) Angle 6 + angle 7 = 180 degrees
D) Angle 3 + angle 4 = 180 degrees
Answer:
B) Angle 4 is congruent to angle 8
Step-by-step explanation:
please help with this
Answer:
Arc Length: [tex]S=r\theta[/tex]
[tex]S=3\frac{7\pi}{3}\\S=7\pi in[/tex]
4. A book club earns $230 for its meetings. They want to divide the money to pay for 7 meetings. When the treasurer types 230 ÷ 7 into a calculator, the number that appears is 32.8571. Where should the treasurer round the answer? Explain. Pls explain
Answer:
to the tenths place, 32.86
Step-by-step explanation: It is because money is always rounded to the tenths place
Find the value of x.
Answer:
x = 50
Step-by-step explanation:
The measure of the secant- secant angle is one half the difference of the measures of the intercepted arcs, that is
x = [tex]\frac{1}{2}[/tex] (130 - 30) = 0.5 × 100 = 50
The graphic shows the average number of points scored per game for ten players in the NBA.
What is the range value of the data set?
A) 3.45
B) 3.5
C) 6.9
D) 7
Answer:
C) 6.9
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
These planets are dense; rocky surface; thin atmosphere; rotate slowly on its axisss
Answer:
The planet you're describing is Mercury. It fits all the criteria of the question.
Note: If you're looking for another planet, Mars has a thin atmosphere and is rocky, but does not rotate slowly. Venus rotates very slowly and is rocky, but has a thick atmosphere. Earth doesn't have a thin atmosphere or rotate slowly, but it is rocky and dense.
Answer:
The Terrestrial or Inner Planets
Step-by-step explanation:
You are describing the terrestrial or inner planets of our Solar System. All of these planets, Mercury, Venus, Earth, and Mars are rocky and have a dense surface unlike the gas giant or outer planets, Jupiter, Saturn, Uranus and Neptune.
Select the equivalent expression
The equivalent expression is: (C) [tex]$\frac{1}{3^9 \cdot 6^{18}}$[/tex].
To simplify the given expression, we can apply the rules of exponents.
First, we raise 3 to the power of 3 and 6 to the power of 6, individually:
3^3 = 27 and 6^6 = 46656.
Next, we multiply these two values together:
27 * 46656 = 1259712.
Now, we raise the result to the power of -3:
1259712^(-3).
To simplify this expression, we can rewrite it as the reciprocal of the base raised to the positive exponent:
(1 / 1259712^3).
This can be further simplified by raising the base to the power of 3:
(1 / (1259712 * 1259712 * 1259712)).
Finally, we can simplify the expression by multiplying the denominators:
1 / (1954890816015872).
Which of the following have a frequency factor of b=1? A sine function whose period is 2pi radians. A sine function whose x-coefficient is 2pi. A cosine function with no phase shift whose x-coefficient is 1. A sine function whose graph shows 2 cycles from -4pi radians to 0. A sine function whose graph shows 2 cycles from 0 to 2pi radians. A cosine function whose graph shows 4 cycles from 0 to 4pi radians. A cosine function whose graph shows 1 cycle from 3pi radians to 5pi radians.
A) A sine function whose period is 2pi radians.
C) A cosine function with no phase shift whose x-coefficient is 1.
D) A sine function whose graph shows 2 cycles from -4pi radians to 0.
G) A cosine function whose graph shows 1 cycle from 3pi radians to 5pi radians.
The solution is,
A) A sine function whose period is 2pi radians.
C) A cosine function with no phase shift whose x-coefficient is 1.
D) A sine function whose graph shows 2 cycles from -4pi radians to 0.
G) A cosine function whose graph shows 1 cycle from 3pi radians to 5pi radians.
which have a frequency factor of b=1.
What is function?Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.
here, we have,
given that,
we have to find the functions which have a frequency factor of b=1.
so, we get,
from the given options, that,
A) A sine function whose period is 2pi radians.
C) A cosine function with no phase shift whose x-coefficient is 1.
D) A sine function whose graph shows 2 cycles from -4pi radians to 0.
G) A cosine function whose graph shows 1 cycle from 3pi radians to 5pi radians.
are the functions which have a frequency factor of b=1.
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The government published the following stem-and-leaf plot showing the number of tigers at each major zoo in the country:
Answer: 2 zoos
Step-by-step explanation: Hope this helped!☺️
A stem-and-leaf plot is a graphical representation of numerical data showing the distribution. In the context of the question, it is visualizing the distribution of the number of tigers in each major zoo in the country.
Explanation:A stem-and-leaf plot is a type of graph used to represent numerical data. The stem of the plot represents the first digit or digits of the data points, while the leaves represent the last digit. This form of data representation is commonly used in statistics to visualize the distribution of a set of data.
In this case, the stem-and-leaf plot that the government published is showing the distribution of the number of tigers in each major zoo in the country. Each 'stem' represents the tens place of the number of tigers and each 'leaf' represents the ones place. For example, if there is an entry of 3|4 in the plot, it means that there is a major zoo in the country that houses 34 tigers.
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A person is carrying a dog that weighs 50 pounds. The person weighs x pounds. Which equation can be used to find w, the total weight of the person and the dog in pounds?
Answer:
w = x + 50
Step-by-step explanation:
The dog is 50 pounds. The person's weight is x. You are trying to find the total weight of the dog and person. Therefore, you need to combine the two values to get the total, making the equation w = x + 50, or x + 50 = w
Which coordinate pair identifies a point in the third quadrant of the coordinate plane?
A) (8, 12)
B) (7, −9)
C) (−10, 6)
D) (−6, −8)
DO NOT GUESS
Answer:
The answer is D) (-6,-8) because in order to have a coordinate in the III quadrant you need two negatives.
Step-by-step explanation:
Answer:
The correct answer is D) (-6,-8)
Step-by-step explanation:
All points in the third quadrant have two negative numbers.
The parks department is installing a new picnic area that measures 20 yards by 48 feet.
They are going to cover the new picnic area with square pieces of sod.
If the sod costs $11 per square yard, how much will the parks department pay to completely cover the picnic area with sod?
Answer:
$3520
Step-by-step explanation:
Conversion
To convert feet to yards, we divide the measurement of feet by 3 hence for dimenaion given as 48 ft, it will be 48÷3=16 yards
The area will be given by the product of length and width and since both measurements are given
A=lw
A=16*20=320 yd²
Cost will be 320*11=$3520
Therefore, the department will have to pay $3520 for the work to be completed
In a lab experiment, 1900 bacteria are placed in a petri dish. The conditions are such
that the number of bacteria is able to double every 29 hours. How many bacteria
would there be after 6 hours, to the nearest whole number?
Answer:
393 bacteria
Step-by-step explanation:
First find how much it would increase per hours :
1900 / 29 = 65.5172414
Then take this and multiply it by 6 to get :
393.103448
Round it to the nearest whole number to get:
393 bacteria
Answer:2193
Step-by-step explanation:
y= 1900(2)^6/29
CAN SOMEONE PLEASE HELP ME??!!!
PLZ HURRY!!!
Answer:
It's the first one
On a coordinate plane, line A goes through points (negative 3, 0) and (0, 4), and line B goes through points (0, negative 4) and (2, 0). Which line has the steeper slope? Line has a steeper slope
Answer:
Line B
Step-by-step explanation:
I got it right
Line B has a steeper slope than line A because its slope is greater than the slope of line A.
What is the slope of the line?The slope of a line is defined as the angle of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)
For line A, the two points are (-3, 0) and (0, 4).
Plugging these values into the formula, we get:
slope = (4 - 0) / (0 - (-3)) = 4 / 3
For line B, the two points are (0, -4) and (2, 0).
Plugging these values into the formula, we get:
slope = (0 - (-4)) / (2 - 0) = 4 / 2 = 2
Therefore, line B has a steeper slope than line A, because its slope is greater than the slope of line A. Line A has a slope of 4/3, while line B has a slope of 2.
We can also visualize this by drawing the lines on a coordinate plane. Line B will have a more steeply inclined slope than line A, as it will rise more quickly as it moves from left to right.
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Ina city school, 65% of students have green eyes. 25% have red hair, and 15% have green eyes and
red hair. What is the probability (rounded to the nearest whole percent) that a randomly selected
student will have red hair given that the student has green eyes?
Answer:
23% of student will have red hair given that the student has green eyes.
Step-by-step explanation:
We are given the following in the question:
Percentage of students that have green eyes = 65%
[tex]P(G) =0.65[/tex]
Percentage of students that have red hairs = 25%
[tex]P(R) =0.25[/tex]
Percentage of students that have green eyes and red hairs = 15%
[tex]P(G\cap R) =0.15[/tex]
We have to find the conditional probability of randomly selected student that will have red hair given that the student has green eyes.
[tex]P(R|G) = \dfrac{P(R\cap G)}{P(G)}[/tex]
Putting values, we get,
[tex]P(R|G)=\dfrac{0.15}{0.65} = 0.2307\approx 23\%[/tex]
Thus, 23% of student will have red hair given that the student has green eyes.