When rolling two number cubes, there are 36 possible combinations. There are 6 combinations that yield a sum of 7, so the probability is 1/6. Tamara should expect a sum of 7 about 24 times when she rolls the cubes 144 times.
Explanation:When rolling two number cubes, there are 36 possible combinations. To find out how many times Tamara should expect the sum of the two cubes to be equal to 7, we need to determine the number of combinations that result in a sum of 7.
From the chart provided, we can see that there are 6 combinations that yield a sum of 7: (1,6), (2,5), (3,4), (4,3), (5,2), and (6,1).
Since there are 6 favorable outcomes out of 36 possible outcomes, the probability of rolling a sum of 7 is 6/36 or 1/6.
To calculate the number of times Tamara should expect a sum of 7 when she rolls the cubes 144 times, we can multiply the probability by the number of trials: (1/6) * 144 = 24.
What is the volume, in cubic feet, of a cylinder with a height of 16 feet and a base radius of 3 feet, to the nearest tenths place?
Answer:
452.39 feet³
Step-by-step explanation:
In the attached file
Answer:
452.4
Step-by-step explanation
π·r²·h
π·3²·16
π·9·16
π·144
452.38
round that up to the tenths place it's 452.4
Syd has $125 in her bank account. She makes a withdrawal of $75. How much does she have now.
Answer:
$50
Step-by-step explanation:
$125 - $75 = $50!
Solve for b.
7b = 35
Answer:
b = 5
Step-by-step explanation:
to get b, you see that is multiplied by 7. to get rid of the 7, you have to divide both sides by 7. this is because 7/7 = 1, so you would just have b. then, 35/7 equals 5, and it is on the other side of the equal sign, so you would have b = 5.
Answer:
[tex]b = 5[/tex]
Step-by-step explanation:
[tex]7b = 35 \\ \frac{7b}{7} = \frac{35}{7} \\ b = 5[/tex]
What is the solution to the equation? k – 7 = -24
Answer: k = -17
Step-by-step explanation:
K -7= -24
k= -24 + 7
k = -17
can someone pls answer this question for me
Answer:
the height is 3
the with is also 3 because
1.5+1.5=3
A spinner has 6 equal sections : purple,yellow,blue,green,orange,and red. What is the probability of landing on a section that is NOT orange (in fraction form)
3. In a carnival game, players are given three darts and throw them at a set of balloons on a wall.
Suppose there are eight balloons on the wall. Five of the eight balloons have slips of paper in
them that say 'Winner' while three of the eight balloons have slips of paper that are blank.
Suppose you pop a balloon with each of your three darts. If all three balloons have 'Winner'slips,
you win the grand prize. If all three balloons have blank slips, you win the consolation prize.
What is the probability that:
a) you win the grand prize?
b) you win the consolation prize?
The chances of winning the grand prize in this game are approximately 0.089, whereas the chances of winning the consolation prize are 0.01.
Explanation:The subject of this question is Probability, which is a branch of Mathematics. To calculate the probability, we'll need to determine the total number of outcomes and the count of the favorable outcomes.
a) To win the grand prize, all three balloons popped have to have 'Winner' slips. The probability of each dart hitting such a balloon will decrease as the total number of balloons decreases. First dart probability would be 5/8 (5 'Winner' balloons out of 8 total), the second one 4/7 (as one 'Winner' balloon is already popped), and 3/6 for the third. Multiply these probabilities together to get the overall probability: (5/8) * (4/7) * (3/6) = 0.089 (rounded to the third digit).
b) Similarly, for the consolation prize, we would have to hit all three balloons with blank slips. The process is equivalent, resulting in a probability of (3/8) * (2/7) * (1/6) = 0.01 (rounded to the third digit).
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In an apartment building, 45% of
the families have pets. If 27 families
have pets, how many families live in
the building?
Answer:
60 people
Step-by-step explanation:
27/.45=60
what is between 1 1/2 and 2 1/2
Answer:
4
Step-by-step explanation:
we add them then divide 2
(11/2+2 1/2)/2
To "know your audience," you should identify what they
a. Need to know
c. Are interested in
b. Want to know
d. All of these
Please select the best answer from the choices provided
An answer is an option (D) for all of these.
"Know your audience" and Why is it important to know your audience?
Knowing your audience helps you figure out what content and messages people care about.
To "know your audience," you should identify what are ?
a. Need to know
c. Are interested in
b. Want to know
d. all of these
hence the answer is all of these.
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Which numbers are represented by points on the following number line?
Answer:
-7, -2, 1, 6
Step-by-step explanation:
The points that are on the number line are: -7, -2, 1, 6
Answer: -7, -2, 1, 6
Answer:
-7, -2, 1, 6
Step-by-step explanation:
5/4623
Please I need answers as soon
Answer: 0.00108154877
Step-by-step explanation:
The division [tex]\frac{5}{4623}[/tex] results in the simple decimal 0.001081603. This expression is already reduced to the most basic fraction form of itself.
The division is an arithmetic operation that involves splitting a quantity or number into equal parts or groups. It is the inverse operation of multiplication. In division, a number called the dividend is divided by another number called the divisor to obtain the quotient.
The dividend is the total quantity or number being divided, while the divisor is the number by which the dividend is divided. The result of the division is called the quotient, which represents the number of times the divisor can be subtracted from the dividend to achieve equal parts.
Given the expression [tex]\frac{5}{4623}[/tex] ,
[tex]\frac{5}{4623}[/tex] = 5 [tex]\div[/tex] 4623 = 0.001081603.
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Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
15 mm
Not drawn to scale.
What is the surface area of the prism?
Answer:
The answer should be 45
Step-by-step explanation:
To get the whole are you would have to multiply the lenght with the Width and then take that answer and multiply it with the height
BUT
because you want the surface area, it would be just the lenght and width
15x3=45
so 45 is your answer.
Look at the following graph of the given equation. Determine whether the equation is a function. Explain why or why not.
y= 2x+2
+ • 2.6)
+ (1.4)
(0.2)
The equation [tex]y=2x+2[/tex] is a function
Explanation:
Given that the graph contains the coordinates [tex](-1,0)[/tex], [tex](0,2)[/tex] , [tex](1,4)[/tex] and [tex](2,6)[/tex]
We need to determine whether the equation [tex]y=2x+2[/tex] is a function.
To determine the equation is a function, let us substitute the coordinates in the equation and check whether it satisfies the equation.
Let us substitute the coordinate [tex](-1,0)[/tex] in the equation [tex]y=2x+2[/tex]
Thus, we have,
[tex]0=2(-1)+2[/tex]
[tex]0=-2+2[/tex]
[tex]0=0[/tex]
Thus, the coordinate [tex](-1,0)[/tex] satisfies the equation [tex]y=2x+2[/tex]
Substituting the coordinate [tex](0,2)[/tex] in the equation, we have,
[tex]2=2(0)+2[/tex]
[tex]2=2[/tex]
Thus, the coordinate [tex](0,2)[/tex] satisfies the equation [tex]y=2x+2[/tex]
Substituting the coordinate [tex](1,4)[/tex] in the equation [tex]y=2x+2[/tex]
[tex]4=2(1)+2[/tex]
[tex]4=4[/tex]
Thus, the coordinate [tex](1,4)[/tex] satisfies the equation [tex]y=2x+2[/tex]
Substituting the coordinate [tex](2,6)[/tex] in the equation, we get,
[tex]6=2(2)+2[/tex]
[tex]6=6[/tex]
Thus, the coordinate [tex](2,6)[/tex] satisfies the equation [tex]y=2x+2[/tex]
Hence, the coordinates [tex](-1,0)[/tex], [tex](0,2)[/tex] , [tex](1,4)[/tex] and [tex](2,6)[/tex] satisfies the equation [tex]y=2x+2[/tex]
Thus, the equation [tex]y=2x+2[/tex] is a function.
Consider the sequence of steps to solve the equation:
5(x - 3) =
7x
2
Step 1 ⇒ 10(x - 3) = 7x
Step 2 ⇒ 10x - 30 = 7x
Step 3 ⇒ 3x - 30 = 0
Step 4 ⇒ 3x = 30
Step 5 ⇒ x = 10
Identify the property of equality which yields Step 3.
A) Division Property
B) Addition Property
C) Subtraction Property
D) Multiplication Property
Answer:
C
Step-by-step explanation:
Subtraction Property
10x - 30 = 7x
Subtract 7x from both sides.
3x - 30 = 0
are 2/5 and 8/15 a ratios equivalent
Hey There!
The answer you are looking for is:
False, they are not equivalent.
Explanation / Work
First convert 2/5 into the same 'value' as 8/15
2/5 -> 4/10 -> 6/15.
As you can see, 6/15 is not the same as 8/15.
Meaning they are not equivalent.
Hope I helped! Please rate 5 stars and brainliest!
What is the value of 10^3 x 0.006?
Answer:
6
Step-by-step explanation:
10^3 = 1000
1000 x 0.006 = 6
Assessment started: undefined. Item 1 Rosa buys a bag of cat food for $6.75 and a pack of cat treats for $1.89. How much money does Rosa spend altogether? Enter your answer in the box
Answer:
8.68?
Step-by-step explanation:
adding them together just like that she buys cat food 6.75+ 1.89 for cat treats wouldn't thw be right? unless your needing tax as well and that's typically 10cents to ever dollar you spend
Answer:
The answer is 8.64
Step-by-step explanation:
It is decimals not actually cash so there is no tax, Plus I took the K-12 test and got it right!
Solve the quadratic equation: 3x2 + x - 5 = 0
Hey there!
[tex]3x^2 + x -5 = 0[/tex]
This equation is in standard form, which is [tex]ax^2+bx+c=0[/tex].
We are going to solve this with the quadratic equation, so we need to find the values for a, b, and c in the given equation. We can just look at it and identify the variables.
a = 3, b = 1, c = -5
Let's plug these values into the quadratic equation:
[tex]x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex]
[tex]x=\frac{-1\pm\sqrt{1^2-4(3)(-5)} }{2(3)}[/tex]
Multiply 4(3)(-5) together and multiply 2(3). Square 1.
[tex]x=\frac{-1\pm\sqrt{1+60} }{6}[/tex]
Add 1 and 60.
[tex]x=\frac{-1\pm\sqrt{61} }{6}[/tex]
This is our answer in exact form. If you need this as an approximate value, let me know and I will do that for you.
Hope this helps!
What are the zeros of the quadratic function shown on the graph?
A) 3 and 2
B) −3 and 2
C) 3 and −2
D) −3 and −2
The ratio of arc length to circumference is the same as the ratio of
Answer:
The ratio is the same as the ratio of the angle of that sector to the angle for the whole circle (2π).
Step-by-step explanation:
CAN SOMEONE PLEASE GIVE ME THE ANSWER
Here you are: B and E
A circle has a diameter of 30 yd. What is it’s circumference?
Use 3.14 for PIE, and don’t your answer.
Circumference of the circle = 94.2 yd
Solution:
Given data:
Diameter of the circle = 30 yd
The value of π = 3.14
To find the circumference of the circle:
Circumference of the circle = πd
Substitute the diameter value in the formula, we get
Circumference of the circle = 3.14 × 30
= 94.2
Circumference of the circle = 94.2 yd
Use the distributive property to write an equivalent expression: 4(x -3)
Answer:
4x - 12
Step-by-step explanation:
Distribute the 4 to the x and -3.
4 × x = 4x
4 × -3 = -12
4x - 12
If the policy premium on a 30 year $1,000,000 term life policy for a 35-year-old female is increased to $714, what is the percent increase in price?
A) 3%
B) 5%
C) 6%
D) 7%
What size are the intervals on the histogram?
6 4 7 5
To construct a histogram, you must decide on your interval size by dividing the data range by your desired number of intervals. Then, sketch the graph with scaled axes and intervals consistently to accurately represent the data.
Explanation:To construct a histogram, you need to determine the interval size for your bins. The interval size depends on the range of your data and the number of intervals you want to use. For instance, if you have data ranging from 32.5 to 100.5 and you want to create five intervals, you subtract the smallest value from the largest and then divide by the number of intervals. So it would be (100.5 - 32.5) ÷ 5, which equals 13.6. This means each interval would be 13.6 units wide.
When constructing the actual histogram, the x-axis would cover from 32.5 to 100.5 and the y-axis would cover the frequency of the data within each interval. An interval's endpoints can be determined successively by adding the interval width to the previous endpoint, starting with 32.5. Moreover, for data with a small range like 1 to 6, you could create six intervals ranging from 0.5 to 6.5 to ensure all data points are included, with a 1 unit interval size for clarity.
Sketch the graph using a ruler and pencil, and carefully scale the axes to accurately reflect the range and intervals for the data you're representing. Consistency in interval size is key when placing data values into each bin.
Final answer:
A histogram is constructed by determining the number of intervals, with a common range being five to 15 intervals. Calculate the interval width by dividing the total range of data by the chosen number of bins. Use a ruler and pencil for a scaled and precise histogram representation.
Explanation:
To construct a histogram, you need to decide on the number of intervals, also known as classes or bins. In this case, the data provided suggests we need to create five to six intervals. The x-axis for our histogram might range from 32.5 to 100.5, representing the data values, and the y-axis records the frequency of the data points.
To calculate the width of each interval, take the range of the data (100.5 - 32.5 = 68) and divide it by the number of intervals (5). This gives us an interval width of 13.6. When scaling the axes, use a ruler and pencil for precision.
For example, if your data set ranges from a smallest value of 1 to a largest value of 6, you might set your bins to start at 0.5 and end at 6.5 to ensure that all values are included. With this range of 6 (6.5 - 0.5), and deciding on six bins, the bin size or interval size would be 1. This is explained in Solution 2.10.
Remember to consistently apply the same method when placing data values within intervals to enable comparability and clarity in your histogram.
A square has a perimeter of 32 inches what the length and width of the square
The length and width of square is 8 inches.
Step-by-step explanation:
Given,
Perimeter of square = 32 inches
We know that all sides of square are equal, therefore,
Length = width = s
Perimeter of square = 4s
[tex]32=4s\\4s=32[/tex]
Dividing both sides by 4
[tex]\frac{4s}{4}=\frac{32}{4}\\s=8[/tex]
Therefore,
The length and width of square is 8 inches.
Final answer:
The length and width of the square are each 8 inches, calculated by dividing the given perimeter of 32 inches by the number of sides of a square, which is 4.
Explanation:
To find the length and width of a square given its perimeter, we need to recall that all four sides of a square are of equal length. Since the perimeter of the square is 32 inches, we divide this number by 4 to find the length of one side. So, the length and width of the square are:
32 inches ÷ 4 = 8 inches.
Therefore, each side of the square is 8 inches long.
Can someone help me with this? I don’t need an explanation I just need the answer thank you :)
Answer:
87.92 in²
Step-by-step explanation:
pi × (R² - r²) = area
Where R is the radius of the outer circle and r of the inner circle.
Since C = 2pi×r
37.68 = 2×3.14×r
r = 6 in
R = 6 + 2 = 8 in
Therefore,
pi × (R² - r²) = area
Area = 3.14 (8² - 6²)
= 87.92 in²
which expression is equivalent to 5^3 select all that apply
a. 5^7 x 5^-4
b. 5^12/5^4
c. 5^1 + 5^2
d. 5^0 x 5^3
e. 5^3 - 5^0
Expressions a, b, and d are equivalent to 5^3. They all follow the laws of exponents, resulting in the same value of 5^3, or 125.
Explanation:The question is asking which expressions are equivalent to 5^3. Let's break down each option:
a. 5^7 x 5^-4: Utilizing the law of exponents, we add the exponents when multiplying the same base, hence we get 5^3. b. 5^12/5^9: According to the law of exponents, we subtract the exponent of the denominator from the exponent of the numerator, which gives us 5^3. c. 5^1 + 5^2: This equals 5 + 25, which is not equal to 5^3 (125). d. 5^0 x 5^3: Any number raised to the power 0 is 1, therefore this equals 5^3. e. 5^3 - 5^0: This equals 125 – 1, which is not equal to 5^3 (125).
So, options a, b, and d are equivalent to 5^3.
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what is the missing cotangent data (cot) in the picture?
Step-by-step explanation:
Look at the picture.
Hmm.... If the angle θ is correctly marked on your photo, then your solution is incorrect.
You write the function values but for the angle 180° - θ.
[tex]\sin(180^o-\theta)=\sin\theta\\\cos(180^o-\theta)=-\cos\theta\\\tan(180^o-\theta)=-\tan\theta\\\cot(180^o-\theta)=-\cot\theta[/tex]
Therefore
for
[tex]x=-7,\ y=24,\ r=\sqrt{(-7)^2+24^2}=\sqrt{49+576}=\sqrt{625}=25[/tex]
Let θ be this angle in your picture.
[tex]\sin\theta=\dfrac{24}{25}\\\\\cos\theta=-\dfrac{-7}{25}=\dfrac{7}{25}\\\\\tan\theta=-\dfrac{24}{-7}=\dfrac{24}{7}\\\\\cot\theta=-\dfrac{-7}{24}=\dfrac{7}{24}\\\\\sec\theta=\dfrac{1}{\cos\theta}=\dfrac{1}{\frac{7}{25}}=\dfrac{25}{7}\\\\\csc\theta=\dfrac{1}{\sin\theta}=\dfrac{1}{\frac{24}{25}}=\dfrac{25}{24}[/tex]