Answer:
The theoretical probability of rolling a number smaller than a 3 is __1/3_____because this is what__we expect to happen____ . The experimental probability of rolling a number smaller than a 3 is __1/4____ because this is what___actually happened____
Step-by-step explanation:
The experimental probability is
P (<3) = ( getting a one or 2)/ number of times that he rolled
He rolled a one or a two 2 times of the 8 times rolled
= 2/8 = 1/4
Theoretical probability is what we expect happen
P (<3) = (getting a one or two) / 6
= 2/6 = 1/3
The theoretical probability of rolling a number smaller than a 3 is __1/3_____because this is what__we expect to happen____ . The experimental probability of rolling a number smaller than a 3 is __1/4____ because this is what___actually happened____
6/10+39/100 find the sum
The answer is-
Exact form: 99/100
Decimal form: 0.99
riddle time I have cities, but no houses. I have mountains, but no trees. I have water, but no fish. What am I? if hard text me and i will give you the answer
Answer:
Is it a map? To me that makes the most logical sense.
Answer:
A map
Step-by-step explanation:
A map has cities, mountains, and water. It doesn't show houses, trees, or fish because it doesn't show specific things.
One of the roots of the equation 10x2−33x+c=0 is 5.3. Find the other root and the coefficient c.
Answer:
1. The other root is [tex]-2[/tex]
2. c=-106
Step-by-step explanation:
The given equation is [tex]10x^2-33x+c=0[/tex].
If [tex]5.3[/tex] is a solution to the given quadratic equation, then [tex]x=5.3[/tex] must satisfy this equation.
[tex]10(5.3)^2-33(5.3)+c=0[/tex]
[tex]280.9-174.9+c=0[/tex]
[tex]106+c=0[/tex]
[tex]c=0-106=-106[/tex]
We now substitute [tex]c=-106[/tex] into the given equation to obtain;
[tex]10x^2-33x-106=0[/tex].
Comparing to the general equation;
[tex]ax^2+bx+c=0[/tex], we have a=10, b=-33 and c=-106.
Recall the quadratic formula;
[tex]x=\frac{-b\pm \sqrt{b^2-4ac} }{2a}[/tex]
We now use the quadratic formula to obtain;
[tex]x=\frac{--33\pm \sqrt{(-33)^2-4(10)(-106)} }{2(10)}[/tex]
This implies that;
[tex]x=\frac{33\pm \sqrt{5329} }{20}[/tex]
[tex]x=\frac{33\pm73}{20}[/tex]
[tex]x=\frac{33-73}{20}[/tex] or [tex]x=\frac{33+73}{20}[/tex]
[tex]x=\frac{-40}{20}[/tex] or [tex]x=\frac{106}{20}[/tex]
[tex]x=-2[/tex] or [tex]x=5.3[/tex]
Hence the other root is [tex]-2[/tex]
As part of your training schedule you plan to jog once a week around the reservoir shown below on the map.
One lap along the perimeter of the reservoir is 25 cm. What is the actual length of a lap?
The actual length of a lap cannot be determined without the scale of the map. The 25 cm measurement seems to be from the map, so without knowing the real-world equivalent of the map's measurements, we can't find the actual distance.
Explanation:The length of a lap around the reservoir cannot be directly determined from the information given. The measurement provided (25 cm) appears to be a distance measured on a map or plan of the area, and not in real life. In order to convert that measurement into a real-world distance, we need the scale of the map. A map's scale is typically represented as a ratio that indicates the relationship between a certain distance on the map and the real-world distance it represents.
For example, if the map's scale was 1 cm : 1 km, then a measurement of 25 cm on the map would represent a real-world distance of 25 km. However, without the scale, we cannot accurately determine the actual length of a lap around the reservoir. This concept is extremely important in geography and cartography as well as in mathematical problems dealing with maps and scales.
Learn more about Map Scale here:https://brainly.com/question/24486949
#SPJ11
Claire made $160 babysitting last summer. She put the money in a savings account that pays 3% interest per year. If Claire doesn’t touch the money in her account, she can find the amount she’ll have the next year by multiplying her current amount by 1.03. A) how much money will Claire have in her account after 1 year? After 2 years? B) how much money will Claire have in her account after 5 years? Explain your reasoning. C) Write an expression for the amount of money Claire would have after 30 years if she never withdraws money from that account.
We can make and use the equation: A = 160( 1.03 )^y: A = amount, 160 = amount put in, 1 + .03 = 1.03 = interest, and y as the number of years, as the money is compounded every year. (This is the compound interest equation, but I put in the numbers)
A) 160 * 1.03 = $164.80, 160 * 1.03² = $169.744 ≈ $169.74
B) 160 * 1.03⁵ = 185.48385 ≈ $185.48
The expression is the same as saying (((((160 * 1.03)1.03)1.03)1.03)1.03). This is like multiplying 160 * 1.03, which gives the amount for the first year. Then, that amount is multiplied by 1.03, which is the amount for the second year. This isi repeated until 5 years.
C) 160(1.03)³⁰
Claire will have $164.80 after 1 year and $169.74 after 2 years in her savings account due to the 3% interest rate. After 5 years, she will have $185.86. The expression for the amount after 30 years is $160 × (1.03)³⁰.
Explanation:When Claire deposited $160 into her savings account at a 3% interest rate per year, she initiated a process of compound interest. This means each year, the amount of money in her account will increase by 3% of the amount from the previous year. The way to find out how much money she will have after a certain number of years is to multiply the initial amount by 1.03 raised to the power of the number of years.
Interest After 1 Year
After 1 year: $160 × 1.03 = $164.80
Interest After 2 Years
After 2 years: $160 × (1.03)² = $169.74
Interest After 5 Years
After 5 years: $160 × (1.03)⁵ = $185.86. This is calculated using the formula for compound interest: $160 × 1.03 raised to the fifth power.
Interest After 30 Years
To write an expression for the amount of money she will have in 30 years: $160 × (1.03)³⁰. This follows the general formula for compound interest, which is the initial amount times one plus the interest rate raised to the number of years.
Graph the solution for the following system of inequalities. Click on the graph until the correct solution is displayed. x + y > 3 x + y < -4
Answer:
The graph for the following system of inequalities is attached below.
Step-by-step explanation:
The given system of inequalities is
[tex]x+y>3[/tex] .... (1)
[tex]x+y<-4[/tex] .... (2)
From inequality (1) and (2) it is clear that (x+y) is greater than 3 adn 3 is not less than -4. So, the given system of inequality has no feasible reason or solution.
The related equation of first inequality is
[tex]x+y=3[/tex]
Put x=0 to find the y-intercept.
[tex]0+y=3\Rightarrow y=3[/tex]
The y-intercept is 3.
Put y=0 to find the x-intercept.
[tex]x+0=3\Rightarrow x=3[/tex]
The x-intercept is 3.
The related equation of second inequality is
[tex]x+y=-4[/tex]
Put x=0 to find the y-intercept.
[tex]0+y=-4\Rightarrow y=-4[/tex]
The y-intercept is -4.
Put y=0 to find the x-intercept.
[tex]x+0=-4\Rightarrow x=-4[/tex]
The x-intercept is -4.
The related lines are dotted line because the sign of inequalities are > and <.
Check each inequality be (0,0).
[tex]0+0>3[/tex]
[tex]0>3[/tex]
This statement is false. So the shaded region of first inequality is opposite sides of the origin.
[tex]0+0<-4[/tex]
[tex]0<-4[/tex]
This statement is false. So the shaded region of first inequality is opposite sides of the origin.
The graph for the following system of inequalities is attached below.
Answer:
This is the correct graph on Odyssey :)
6....................
Answer:
option (a)
x - √7x / x - 7
Step-by-step explanation:
Given the expression in the question
√x / (√x + √7)
There are 3 steps to follow
Multiply numerator and denominator by a radical that will get rid of the radical in the denominator. Make sure all radicals are simplified. Simplify the fraction if needed.Step 1Multiply by √x - √7
√x (√x - √7) / (√x + √7)(√x - √7)
√x .√x - √7.√x / (√x + √7)(√x - √7)
Step 2a² - b² = (a+b)(a-b)
√x² - √7x / √x² - √7²
Step 3x - √7x / x - 7
Please !!! Someone help me
answer is the last one D
pls mark brainliest
The answer is D good luck
What is the area of this triangle? please help me.
Answer:
6
Step-by-step explanation:
Area of a triangle: bh/2
4*3/2=6
Answer:
6 units²
Step-by-step explanation:
The area (A) of a triangle is calculated using the formula
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the height )
here b = DE = 3 units and
h is the distance from the vertex F to DE = 4 units, hence
A = [tex]\frac{1}{2}[/tex] × 3 × 4 = 6 units²
Solve for the roots in the equation below. In your final answer, include each of the necessary steps and calculations. Hint: Use your knowledge of polynomial division and the quadratic formula.
x3 - 27 = 0
Answer: 3
Step-by-step explanation:
[tex]x^3-27=0\\\\x^3=27\\\\\sqrt[3]{x^3}=\sqrt[3]{27}\\\\x=\sqrt[3]{3\cdot 3\cdot 3} \\\\x=3[/tex]
An Antique Collector want to know the age of a particular chair in a shop Statistical or not statistical
Answer:
[tex]\boxed{\bold{Not \ Statistical}}[/tex]
Step By Step Explanation:
Statistical: A survey, branch or mathematics consisting of data collection, organization, analysis, interpretation and presentation.
A statistical question deals with social problems, people, or something that must be studied and data gained. Statistical questions must have data sets and data gained. They also must have answers that vary from side to side or opinion to opinion, in order to be qualified as a 'statistical question'.
"An Antique Collector wants to know the age or a particular chair in a shop"
V
Statistical Not Statistical
[tex]\boxed{\bold{>}}[/tex] This is not a statistical question because there is no data that needs to be collected, no surveys that need to be filled out and no analysis, interpretation and presentation. The answer to this question does not vary. It is simply a fact.
what is 3(x-4)-7=(2x-3)
Solve for x by simplifying both sides of the equation, then isolating the variable.
So the answer to your question is :
x = 16.
Hope this helps,
Davinia.
Answer:
x = 16
Step-by-step explanation:
distribute parenthesis on both sides and simplify
3x - 12 - 7 = 2x - 3
3x - 19 = 2x - 3 ( subtract 2x from both sides )
x - 19 = - 3 ( add 19 to both sides )
x = 16
Which ordered pair is a solution of the equation? 7x-2y=-5
answer X= 5 over 7 and 2 over 7y step by step explaination add 2y on both sides u cancelled -2y and positive 2y u bring down 7X u get 7X=-5+3 then u divide and u get that answer yw have a nice day mark me brainliest
Answer:
2y=-x7
Love mORgan
Which expression is equivalent to (cd)^5
Answer:
c^5 *d^5
Step-by-step explanation:
1.simplifyyyyyyyyyyyy
Answer:
Choice A
Step-by-step explanation:
We apply the law of exponents;
[tex](a^{b})^{c}=a^{bc}[/tex]
[tex]\sqrt{0.08^{12}}=(0.08^{12})^{\frac{1}{2}}[/tex]
applying the law of exponents we simply multiply 12 and 1/2 to get;
[tex]0.08^{6}[/tex]
Which of the following rules is true for all values in the input-output table below?
A x + 1 = y
B x + 2 = y
C 2x = y
D 3x − 2 = y
Answer:
The answer is b
thank you
Find the missing number: 8.4(1.5 + 2.3) = 12.6 +
Answer:
19.32
Step-by-step explanation:
One way to find the missing number is to get the value of the left side of the equation first.
8.4(1.5 + 2.3) = 31.92
Now we need to take that value and subtract it to the value on the right side of the equation.
31.92 - 12.6 = 19.32
So we have:
8.4(1.5 + 2.3) = 12.6 + 19.32
31.92 = 31.92
Answer:
The required number is 19.32
Step-by-step explanation:
Consider the provided expression.
Let the missing number is x.
[tex]8.4(1.5 + 2.3) = 12.6 +x[/tex]
Add the numbers as shown.
[tex]8.4(3.8) = 12.6 +x[/tex]
Open the parentheses.
[tex]31.92= 12.6 +x[/tex]
Subtract 12.6 from both the sides.
[tex]31.92-12.6= 12.6-12.6 +x[/tex]
[tex]x=19.32[/tex]
Hence, the required number is 19.32
Javier’s Bakery sells donuts in packages of 3 and cookies in packages of 5 today the backers sold the same number of donuts and cookies . What is the smallest number of donuts that the bakery could have sold?please help me
The answer is A.) 5 because it’s the smaller number
There are bytes in a gigabyte. There are bytes in a megabyte. How many times greater is the storage capacity of a 1-gigabyte flash drive than a 1-megabyte flash drive?
Answer: third option.
Step-by-step explanation:
You know that:
- There are 10⁹ bytes in a gigabyte.
- There are 10⁶ bytes in a megabyte.
Then, to know how many times greater the storage capacity of a 1-gigabyte flash drive is than a 1-megabyte flash drive, you must divide 10⁹ bytes by 10⁶ bytes.
Remember the quotient of powers property:
[tex]\frac{a^m}{a^n}=a^{(m-n)}[/tex]
Then:
[tex]=\frac{10^9}{10^6}=10^3=1,000[/tex] times greater
Answer:
1,000
Step-by-step explanation:
The conditional relative frequency table below was generated by column using frequency table data comparing the number of calories in a meal to whether the meal was prepared at home or at a restaurant.
A nutritionist attempts to determine an association between where food is prepared and the number of calories the food contains. Which is most likely true?
A. An association cannot be determine because the value 0.55 is similar to the value 0.45
B. There is an association because the value 0.15 is not similar to the value 0.55
C. There is an association because the sum of each column is 1.0.
D. An association cannot ve determined because the sum of the rows going across is not 1.0.
Answer:
B. There is an association because the value 0.15 is not similar to the value 0.55
Step-by-step explanation:
Based on the above picture, for the nutritionist to determine whether there is an association between where food is prepared and the number of calories the food contains, there must be an association between two categorical variables.
The conditions that satisfy whether there exists an association between conditional relative frequencies are:
1. When there is a bigger difference in the conditional relative frequencies, the stronger the association between the variables.
2. When the conditional relative frequencies are nearly equal for all categories, there may be no association between the variables.
For the given conditional relative frequency, we can see that there exists a significant difference between the columns of the table in the picture because 0.15 is significantly different from 0.55 and 0.85 is significantly different from 0.45
We can conclude that there is an association because the value 0.15 is not similar to the value 0.55
Answer:There is an association because the value 0.15 is not similar to the value 0.55.
Step-by-step explanation:
Point P is the image of P -2,-2 under a translation by 1 unit to the left and 3 units down.
Answer:
(- 3, - 5)
Step-by-step explanation:
A translation of 1 unit left, subtract 1 from x- coordinate
A translation of 3 units down, subtract 3 from y- coordinate
The translation rule is
(x, y) → (x - 1, y - 3), hence
(-2, - 2) → (- 2 - 1, - 2 - 3) → (- 3, - 5)
What is the axis of symmetry for f(x) = 2x2 + 4x + 2?
Choices
x = −3
x = −1
x = 1
x = 3
Answer:
-1
Step-by-step explanation:
to find the axis of symmetry, the formula is X= -b/ 2a
a is the 2 from 2x2
and b is 4 from 4x
then plug them to the formula
-b= -4 because of the negative in -b
and 2a is 2(2)
-4/4 is -1
so x= -1
hope im right
hope it helps
What is the range of the graph
Answer:
Range: all real numbers greater than or equal to 2
Step-by-step explanation:
The range is the possible numbers that the output can take
Y can be any number greater than or equal to 2
Range: all real numbers greater than or equal to 2
Find the area thanks
16 x 14 = 224
[tex]answer = {224cm}^{2} [/tex]
Help plz !! Need this to graduate
The numbers of hours that 12 students say they typically spend on homework in a week are 2, 0, 10, 8,10, 8, 8, 8, 10, 10, 8, and 8. What is the mean number of hours? What are the outliers in the data set?
Answer:
The mean is 7.5 and the outliers are 0 and 2
Step-by-step explanation:
To find the mean, add all of the numbers together and divide by the amount of numbers.
2 + 0 + 10 + 8 + 10 + 8 + 8 + 8 + 10 + 10 + 8 + 8 = 90
90/12 = 7.5
To see the outliers, look for the numbers far away from the mean.
suppose that 17 inches of wire cost $0.85 at the same rate how many inches of wire can be bought for $0.55
Answer:
11 inches
Step-by-step explanation:
17/0.85 * 0.55
20 * 0.55
11.
Find the area of the triangle that has a base of 5in -‘d a height of 3 3/4
Answer:
its either c or b
Step-by-step explanation:
formula: 1/2*b*h or 1/2*5*3+3/4
the answer i got was 33/4
Solve for t.
t ÷ 5 1/3 = 3/4
Answer:
t = 4
Step-by-step explanation:
To solve for t, convert the numbers to improper functions. Then multiply by 16/3 on each side.
t ÷ 5 1/3 = 3/4
t ÷ 16/3 = 3/4
t = 16/3 * 3/4
t = 48/12
t = 4
What is 6x^2-12x+y+13=0 in vertex form of parabolas
Answer:
[tex]y=-6(x-1)^{2}-7[/tex]
Step-by-step explanation:
we have
[tex]6x^{2} -12x+y+13=0[/tex]
Convert to vertex form
Group terms that contain the same variable, and move the constant to the opposite side of the equation
[tex]y+13=-6x^{2} +12x[/tex]
Factor the leading coefficient
[tex]y+13=-6(x^{2} -2x)[/tex]
Complete the square. Remember to balance the equation by adding the same constants to each side.
[tex]y+13-6=-6(x^{2} -2x+1)[/tex]
[tex]y+7=-6(x^{2} -2x+1)[/tex]
Rewrite as perfect squares
[tex]y+7=-6(x-1)^{2}[/tex]
[tex]y=-6(x-1)^{2}-7[/tex] -----> equation of the parabola in vertex form
The vertex is (1,-7) is a maximum, the parabola open downward
To convert 6x^2 - 12x + y + 13 = 0 to vertex form, follow the steps to complete the square and rewrite the equation as (x - 1)^2 = -y/6 - 7/6.
Explanation:The equation 6x^2-12x+y+13=0 is in the general form of a quadratic equation. To convert it into the vertex form, we need to complete the square.
First, let's group the x terms together: 6x^2 - 12x = -(y + 13).
Next, let's complete the square: 6(x^2 - 2x) = -(y + 13).
Now, we can add (2/2)^2 = 1 to both sides to complete the square: 6(x^2 - 2x + 1) = -(y + 13) + 6.
Simplifying further, we get 6(x - 1)^2 = -y - 7.
Finally, we can write the equation in vertex form by dividing both sides by 6: (x - 1)^2 = -y/6 - 7/6.
Learn more about Quadratic equations here:https://brainly.com/question/30098550
#SPJ3