The experimental probability that the next member surveyed will sign up for tennis is 0.3, based on the current data where 9 out of 30 members have signed up.
The question is asking for the experimental probability that the next member surveyed at the country club will sign up for tennis based on a survey of 30 members where 9 had already signed up for tennis.
To calculate the experimental probability, you divide the number of members who have signed up for tennis by the total number of members surveyed. So, the calculation would be:
Number of members who signed up for tennis: 9Total members surveyed: 30The experimental probability is then calculated as 9/30, which simplifies to 0.3. Therefore, the correct answer is:
A. 0.3
A student earned 37 out of 50 points on the last test. What percent correct did the student earn?
The price of a set of kitchen cabinets is $1,500 in January. In February, the price is increased by 10%. After not selling, the price is reduced by 5% in March. What is the price in March?
The length of a side of an equilateral triangle is 12. find the length of the altitude
Final answer:
To calculate the altitude of an equilateral triangle with side length 12, divide the side by 2 and multiply by [tex]\(\sqrt{3}\)[/tex] giving an altitude of approximately 10.3923 units.
Explanation:
To find the length of the altitude of an equilateral triangle with a side length of 12, you can use the Pythagorean theorem. The altitude of the equilateral triangle creates two 30-60-90 right triangles. The altitude is the longer leg in this case, and the side of the triangle is the hypotenuse. In a 30-60-90 triangle, the longer leg (altitude) is [tex]\(\sqrt{3}\)[/tex]times the shorter leg (half of the side of the triangle).
First, divide the side of 12 into two to get the shorter leg of the right triangle, which is 6. Then, multiply 6 by \(\sqrt{3}\) to find the length of the altitude. This results in:
[tex]\(6 \times \sqrt{3} = 6\sqrt{3} \approx 10.3923\)[/tex]
Therefore, the altitude of the equilateral triangle is approximately 10.3923 units long.
the number of peaches, p, is three less than half the number of grapes, g. which expression represents the number of peaches in terms of the number of grapes
A.g/2-3
B.2g-3
C.g-3/2
D.3g-2
peaches = 3 less than one half the number of grapes
so from the written problem you can get:
p=1/2g-3
1/2g is the same as g/2
so answer is A. p= g/2-3
Tasha earns $400 per week plus a commission of 10% on her weekly sales. Each week she saves of her earnings. In the expression , what does the expression 400 + 0.1s represent in this situation?
the amount Tasha saves each week
the amount Tasha earns each hour
Tasha's weekly commission
Tasha's weekly earnings
Answer:
its D
Step-by-step explanation:
Which expression will produce a positive product:
(-12)(12)(-6.3)(-0.2)(-15.9)
(12)(-6.3)(-0.2)(-15.9
(-12)(12)(-6.3)(-0.2)(-15.9)(0)
(12)(12)(6.3)(0.2)(-15.9)
Final answer:
To produce a positive product, the expression (12)(-6.3)(-0.2)(-15.9) should be used.
Explanation:
To determine which expression will produce a positive product, we need to consider the sign rules for multiplication.
If we have an even number of negative signs within a set of parentheses, the product will be positive. If we have an odd number of negative signs, the product will be negative.
Let's analyze the given expressions:
(-12)(12)(-6.3)(-0.2)(-15.9): This expression has five negative signs, which means it will produce a negative product.(12)(-6.3)(-0.2)(-15.9): This expression has four negative signs, which means it will produce a positive product.(-12)(12)(-6.3)(-0.2)(-15.9)(0): This expression includes a 0, and any product multiplied by 0 will be 0, which is neither positive nor negative.(12)(12)(6.3)(0.2)(-15.9): This expression has one negative sign, which means it will produce a negative product.Therefore, the expression (12)(-6.3)(-0.2)(-15.9) will produce a positive product.
The expression that will produce a positive product is (12)(-6.3)(-0.2)(-15.9) because it contains an even number of negative signs, which results in a positive product according to the rules of multiplication regarding signs.
Explanation:To find which expression will produce a positive product, we must recall the rules of multiplication regarding signs:
When two positive numbers multiply, the result is positive (e.g., 2x3 = 6).When two negative numbers multiply, the result is also positive (e.g., (-4) x (-3) = 12).When multiply numbers with opposite signs, the result is negative (e.g., (-3) x 2 = -6 and 4 x (-4) = -16).When any number is multiplied by zero, the result is always zero.We can now evaluate the expressions given:
(-12)(12)(-6.3)(-0.2)(-15.9): This expression has an odd number of negative signs, so the product is negative.(12)(-6.3)(-0.2)(-15.9): This has an even number of negative signs, making the product positive.(-12)(12)(-6.3)(-0.2)(-15.9)(0): The presence of a zero means the product is zero.(12)(12)(6.3)(0.2)(-15.9): This has one negative sign, so the product is negative.The correct expression that will produce a positive product is (12)(-6.3)(-0.2)(-15.9).
can u please give me an answer best gets the brainliest
Shirley measures the thickness of a piece of cardboard with a ruler that has centimeter and inch markings. Which of the following is most likely the value that Shirley measures?
3 inches is most likely what she measures because the ruler only has inches and centimeters so inches would be more logical
How is interest similar to sales tax in markup
I need help solving 206x12
A patchwork blanket is made up of 10 identical squares.Liam has made 14 squares,Raj has made 12 squares and Gemma has made 15 squares.How many patchwork blankets have they made between them ?
Matt has a block. He uses one of the flat surfaces of the block to trace a triangle. What type of solid figure is Matt's block?
The types of 3D objects on which one face is triangular are triangular prism, triangular-based pyramid, and square-based pyramid so Matt's solid figure can be anyone among the three.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle.
The sum of all three angles inside a triangle will be 180° and the area of a triangle is given as (1/2) × base × height.
As per the given,
Matt used a 3D block to draw a triangle on the paper.
Now in order to draw a triangle there are three types of 3D objects that can be used,
01) Triangular prism,
02) Triangular-based pyramid
03) Square-based pyramid
Hence "The types of 3D objects on which one face is triangular are triangular prism, triangular-based pyramid, and square-based pyramid so Matt's solid figure can be anyone among the three".
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divide this polynomial:
(x^2-6x-20) divided by (x+2)
* if someone would be able to tell me how to divide this it would be very MUCH appreciated
write the expression in standard form. 3/3-12i
The expression '3/3 - 12i' simplifies to '1 - 12i' which is already in the standard form for a complex number.
Explanation:The expression you've mentioned is 3/3-12i. First, we need to simplify it. The term 3/3 equals to 1. So, the expression becomes 1 - 12i. This is already in a standard form for a complex number.Standard form for a complex number is represented as a + bi, where a and b are real numbers and i represents the imaginary unit. Therefore, our expression 1-12i is in standard form of complex numbers, where a=1 (real part) and b=-12 (imaginary part).
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4.624 to the nearest 10m
The value of the decimal number 4.624 to the nearest 10 places is 4.6
What is rounding off the numbers?When a number is rounded off, its value is maintained but is brought closer to the next number, simplifying the number. For entire numbers as well as decimals at different places of hundreds, tens, tenths, etc., it is done.
A number can be rounded off to its lower value if the number after the decimal is between 0 and 4. The number will be rounded off to its higher value if the number after it is between 5 and 9.
Given decimal number is 4.624. The rounding off is:-
4.624 = 4.6 at 10 places
Therefore, the value of the decimal number 4.624 to the nearest 10 places is 4.6
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Assume that the salaries of elementary school teachers in the united states are normally distributed with a mean of $26,000 and a standard deviation of $5000. what is the cutoff salary for teachers in the bottom 10%?
What is the slope of the line passing through the points (6, 7) and (1, 5) ?
The measure of each interoir angle of a regualr polygon is 144 . how many sides does this polygon have
Tony is now three years older than howard. five years ago the sum of their ages was 59. now, tony is
The Tony age and Howard age be 36 and 33 respectively.
It is required to find the age of tony.
What is age?The amount of time during which someone or something has lived or existed. The length of time that a person has lived or a thing has existed.
Given:
Let Howard age=x
Tony age=x+3
Before 5 year we have,
Howard age=x-5,
Tony age=x+4-5=x-1
Some of there age=59
According to given question we have,
x-5+x-1=59
2x-6=59
2x=65
X=65/2
x=32.5
The age can't be fraction or decimal so we take 33.
Howard age=33
Tony age=33+3=36
Therefore, the Tony age and Howard age be 36 and 33 respectively.
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Which of the following statements about bullying is true? A. Children will independently learn positive behaviors as they mature B. Bullying is not harmful. C. Bullying is just a phase and children will grow out of it. D. Types of bullying include physical, verbal, emotional, and cyberbullying.
Types of bullying include physical, verbal, emotional, and cyberbullying about bullying is true. Correct option is D.
Option D is the correct statement. Bullying can take various forms, and the four main types of bullying are physical (e.g., hitting, pushing), verbal (e.g., name-calling, teasing), emotional (e.g., spreading rumors, excluding someone), and cyberbullying (bullying that takes place online or through digital means). It is essential to recognize and address these different types of bullying to create a safe and supportive environment for children and prevent harm.
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Problem page a light bulb consumes 2400 watt-hours per day. how many watt-hours does it consume in 3 days and 6 hours?
Final answer:
The light bulb consumes 7800 watt-hours in 3 days and 6 hours, calculated by summing the daily consumption over three days and additional energy consumed in 6 hours.
Explanation:
To calculate the energy consumption in watt-hours, we first understand that the light bulb consumes 2400 watt-hours in one day. To find out how much it consumes in 3 days and 6 hours, we multiply the daily consumption by the number of days and then add the consumption for the additional 6 hours:
Energy consumed in 3 days = 2400 watt-hours/day imes 3 days = 7200 watt-hours
Energy consumed in 6 hours = (2400 watt-hours/day) / (24 hours/day) imes 6 hours = 600 watt-hours
Adding these two amounts gives us the total energy consumption in the specified time:
Total energy consumption = 7200 watt-hours + 600 watt-hours = 7800 watt-hours
Therefore, the light bulb consumes 7800 watt-hours in 3 days and 6 hours.
The cost of an oil change is $21.95. The markup rate is 65%. What is the selling price?
1. Find the length (distance) of segments AB, CD, and EF.
AB =
CD =
EF =
2. Find the midpoint of segments AB, CD, and EF.
AB =
CD =
EF =
3. Find the slope of the segments AB, CD, and EF.
AB =
CD =
EF =
Answer:
1) AB=7 CD=3 EF=[tex]3\sqrt{5}[/tex] 2) [tex]M_{AB}=\frac{-1}{2},2[/tex] [tex] \\ M_{EF} =(\frac{5}{2}-3)[/tex] \\ [tex] \\ M_{EF} =(\frac{5}{2}-3)[/tex] 3) AB not inclined CD not inclined EF 6/5
Step-by-step explanation:
1) We can use the Distance Formula to answer the 1st. question.
But in the first case AB I'd rather doing it intuitively because it is a straight line parallel to the x-axis
AB
A(-4,2) and B(3,2)
In this segment, also parallel we can calculate the length as |-4|+|3|=7 since both have the same y coordinate.
Using the Distance formula to check it:
[tex]D=\sqrt{(3--4)^{2}+(2-2)^{2}}\\D=\sqrt{49}\\D=7[/tex]
CD
C(-4,-1) D(-4,-4)
Similar to the first one but this time with different y coordinates.
The length will be calculated by subtracting the absolute values for y:
|-4|-|-1|=4-1 = 3
Using the Distance formula to check it:
[tex]D=\sqrt{(-4--1)^{2}+(-4--4)^{2}}\\D=\sqrt{9}\\D=3[/tex]
EF
E (1,-1) F(4,-5)
In this case there's no straight line.
So right to the Distance Formula:
[tex]D=\sqrt{(-5-1)^{2}+(4-1)^{2}}\\ D=\sqrt{36+9}\\D=\sqrt{45}\\D=3\sqrt{5}[/tex]
2) To find the Midpoints we need to calculate the Mean of these two points.
AB
A(-4,2) and B(3,2)
[tex]M_{AB} =\frac{-4+3}{2},\frac{2+2}{2}\\M_{AB}=\frac{-1}{2},2[/tex]
CD
C(-4,-1) D(-4,-4)
[tex]M_{CD} =\frac{-4-4}{2} ,\frac{-1-4}{2} \\M_{CD} =(0,\frac{-5}{2})[/tex]
EF
E (1,-1) F(4,-5)
[tex]M_{EF} =\frac{4+1}{2} ,\frac{-1-5}{2} \\ M_{EF} =(\frac{5}{2}-3)[/tex]
3) To find the Slope let's calculate the quotient of a difference between y-coordinates over x-coordinates of two given points.
[tex]m_{AB}=\frac{2-2}{3--4}=\frac{0}{7}=0[/tex]
AB is not inclined.
CD
C(-4,-1) D(-4,-4)
[tex]m_{CD}=\frac{-4--1}{-4--4}=\frac{-3}{-4+4}=\frac{-3}{0}[/tex]
Not Defined for all Real Set of Numbers
The line CD is not inclined.
EF
E(1,-1) F(4,-5)
[tex]m_{EF}=\frac{-5-1}{4--1}=\frac{6}{5}[/tex]
The line EF has a slope of 6/5
Which ordered pair is a solution to this equation? 2x+3y=16 A.) (11, 1)
B.) (7,2)
C.) (5,2)
D.) (3,2)
5,2 is the answer, this is such easy question my baby brother could do it easy
please help for the first two questions! i don't know how to do them.
Circle the step where the error has occurred. Explain why it is an error.
Given: 2(10−13)=−34+60
Step 1: Distribute
20−26 = −34+60
Step 2: Addition Property of Equality
−26 = −34+80
Step 3: Addition Property of Equality
8=80
Step 4: Division Property of Equality
=10
Answer:
error in step 2. 20 is added on both sides instead of subtraction.
Step-by-step explanation:
Given: [tex]2(10-13)=-34+60[/tex]
Step 1: Distribute
[tex]20-26 = -34+60[/tex]
2 is distributed inside the parenthesis. 2 times 10 is 20
2 times -13 is -26
Step 2: Addition Property of Equality
[tex]-26 = -34+80[/tex]
To eliminate 20 we subtract 20 from both sides. Here 20 is added on both sides. To eliminate any number we do opposite operation. So there is an error in this step.
Step 3: Addition Property of Equality
8=80
Step 4: Division Property of Equality
=10
True or false any number in the form of a + bi where a and b are real numbers
True........................
work out the height of a parallelogram with a base of 10m and an area of 60m2
Write a compound inequality to represent all of the numbers between -4 and 6.
Answer:-4 < x < 6
Step-by-step explanation:
How many sides does a polygon have if the sum of interior angles is 11700