Need help with these 2 problems I’m pretty sure I got the first one right but I don’t know how to do the second one please and thank you!!
What is the standard deviation of the following data set rounded to the nearest tenth?
51.8, 53.6, 54.7, 51.9, 49.3
A.3.4
B.3.3
C.1.9
D.1.8
Answer:
1.8
Step-by-step explanation:
Which value is the 10th term in the sequence:-62,-47,-32,-17,-2?
simplify
3 (2x+4y-2z)+7 (x+y-4z)
How many cubes are needed to build this structure?
8
7
10
9
Answer:
Option A. 8 cubes
Step-by-step explanation:
In the given structure we can count the cubes by dividing the figure in three sub parts.
Two in L shape and one below on L shape figure.
Two L shape figure contains 2×3 = 6 cubes
Cubes hidden under one L shape = 2
Then total cubes = 6 + 2 = 8
Option A. 8 cubes is the answer.
A lawn roller is 1 m wide and 80 cm high. What area is covered in each revolution
WILL MARK. THE BRAINLEST!!!
Trinh drew a triangle that had coordinates (1, –2), (4, –2), and (1, –4). She translated the figure 4 units left and 5 units up. What are the coordinates of the new figure?
(–4, 2), (–1, 2), and (–4, 0)
(–3, –2), (0, –2), and (–3, –4)
(–3, 3), (0, 3), and (–3, 1)
(1, 3), (4, 3), and (1, 1)
what is the measure of the angle?
If Kareem’s living room has an area of 225 square feet, how much will he spend to carpet his living room?
Answer: $ 568.99
Because 18.99+22 x 225/9 = 568.99
Answer: 568.99
Step-by-step explanation: your mom
complete the general solution to y=cos^-1(1) for K a whole number
Answer:
If the equation is exactly the one you posted then the unique answer is:
[tex]y = 0[/tex]
or what is the same:
[tex]y=0K[/tex]
Explanation:
If your equation is exactly the one you posted then it has only one solution: y = 0
Because the range of [tex]y=\cos^{-1}(x)[/tex] is the interval [tex][0, \pi][/tex]
The meaning of [tex]\cos^{-1}(1)[/tex] is to find the angle whose cosine is 1.
In the range of the function arccosine the only angle whose cosine is 1 is the angle 0.
But if your equation was the following one:
[tex]\cos(y)=1[/tex]
Then in that case we would have infinite solutions since it will be the set:
[tex]y=\cos^{-1}(1)+2K\pi[/tex] where K is an integer, since the period of cosine is [tex]2\pi[/tex]
So, in such a case the solution set would be:
[tex]y=0+2K\pi=2K\pi[/tex]
But for the equation you posted, the unique solution is: y = 0 or what is the same y = 0K
Drag and drop the symbols to enter the equation of the circle in standard form with center and radius given. Center (5, -3), radius = 1
Training course a takes 9 weeks and 4 days to complete.training course b takes 54 days to complete.how much longer does training course a take than training coure b to complete
Training course A takes 13 days longer than training course B to complete.
Explanation:To find how much longer training course A takes than training course B to complete, we need to compare the durations of the two given courses with given values.
Training course A takes 9 weeks and 4 days to complete, which is found to be :
9 x 7 + 4 = 67 days in total.
Training course B takes 54 days to complete.
To find the difference, we subtract the duration of course B from the duration of course A:
67 - 54 = 13 days.
Therefore, training course A takes 13 days longer than training course B to complete.
A number from 1-100 is randomly selected. What is the probability that it is a perfect square, given that is an odd number?
The perimeter of a rectangular garden is 43.8 feet. Its length is 12.4 feet. What is the width
according to the U.S. census bureau, the population of Hawaii in 2010 was 1,360,301 and it was growing at an annual rate of 1.2%. Predict the population in Hawaii in 2032
If 30 fair dice are rolled find the approximate probability that the average number ofo dots is between 2 and 4
The probability that the average number of dots is between 2 and 4 when rolling 30 fair dice is 0.9441.
what is probability?Probability is the branch of mathematics that deals with the study of random events or phenomena. It involves the quantification of uncertainty and the measurement of the likelihood of occurrence of an event.
The average number of dots on a fair die is
= (1+2+3+4+5+6)/6
= 3.5.
We can model the sum of the numbers on the 30 dice as a normal distribution with mean
= (30)(3.5) = 105
and, standard deviation √(30)(35/12) ≈ 9.13.
Let X be the sum of the numbers on the 30 dice, and let Y be the average number of dots. Then Y = X/30.
We want to find P(2 ≤ Y ≤ 4). This is equivalent to P(60 ≤ X ≤ 120), since Y = X/30.
Using the normal distribution, we can standardize X to get:
Z = (X - 105) / 9.13
Then we can compute the probability as:
P(60 ≤ X ≤ 120)
= P[(60 - 105) / 9.13 ≤ Z ≤ (120 - 105) / 9.13]
≈ P(-4.93 ≤ Z ≤ 1.64)
Using a standard normal distribution table or calculator, we can find that P(-4.93 ≤ Z ≤ 1.64) ≈ 0.9441.
Therefore, the approximate probability that the average number of dots is between 2 and 4 when rolling 30 fair dice is 0.9441.
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A Student said the volume of a cylinder with a 3-inch diameter is two times the volume of a cylinder with the same height and a 1.5-inch radius. What is the error?
in a cylinder the radius and height was quadrupled. How much bigger would the new surface area be then the original surface area.
this will be worth ten points
Answer:
1260/15=84
Step-by-step explanation:
1200/15=80 and 60/15=4
80 + 4 = 84.
Another way is 15 + 15 + 15 and keep counting 84 times and you would get 84
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How to find the length of a rectangle when given the height?
The length of a rectangle can be found by dividing the area of the rectangle by its height if the area is known. Without the area, additional information is necessary to calculate the length.
To find the length of a rectangle when given the height, we typically need additional information such as the area or the aspect ratio of the rectangle. However, without that information, directly calculating the length is not possible. Let's explore a scenario where we have the area of the rectangle. In such a case, if we are given the area (A) of the rectangle and the height (h), we can use the formula for the area of a rectangle which is A = length times height. Solving for the length (l), we rearrange the formula to get l = A/h. For instance, if the area of the rectangle is 150 square centimetres and the height is 10 centimetres, the length would be 150 cm2 / 10 cm = 15 cm. It's also important to consider proportions when scaling shapes.
A bag contains 2 blue, 4 green, and 3 white chips. What is the probability of drawing a white chip then another white chip without replacement?
A.) 7/9
B.) 8/81
C.) 2/3
D.) 1/12
Which summation formula represents the series below? 12 – 24 + 48 – 96
Answer: B
Step-by-step explanation:
A rectangular sheet of metal has identical squares cut from each corner. The sheet is then bent along the dotted lines to form an open box. The volume of the box is 420 in.3.
The equation 4x3 – 72x2 + 320x = 420 can be used to find x, the side length of the square cut from each corner.
What is the side length of the square that is cut from each corner, to the nearest inch?
Answer:
3 in
Step-by-step explanation:
Find the exact values of cos (3pi/4radians) and sin (3pi/4 Radians)
Ernie is making a cylinder-shaped container to store his pens. The container has a base on one end and an opening on the other end. He is going to spray paint the outside of the container. The container has a diameter of 3 inches and a height of 18 inches.
What are the zeros of f(x) = x2 – 10x + 25?
A. x = –5 and x = 10
B. x = –5 only
C. x = –5 and x = 5
D. x = 5 only
The zeros of a function are also known as the roots of the function
The correct option for the zeros of f(x) = x² - 10·x + 25 is the option D.
D. x = 5 only
The reasons why the selected option is correct are given as follows:
The given equation is presented as follows;
f(x) = x² - 10·x + 25
Solution:
The zeros are the values of x when the equation is equal to zero which is given as follows;
x² - 10·x + 25 = 0
By observation, we have;
Given that the coefficient of x² is one, and we have that 25 = (-5) × (-5), and -10 = -5 + (-5), therefore, we can write;
0 = x² - 10·x + 25 = (x - 5)·(x - 5)Which gives, either x = 5 , or x = 5Therefore, the zeros of the function is 5 only, and the correct option is option D.
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A class is trying to eliminate t from the parametric equations x=t^2+3 and y=4t. Beth says that she can write t=sqrt(x-3) to eliminate the parameter. Why is this wrong?
She should have added 3 to x, not subtracted.
She should always solve for t as a function of y.
She should have taken both the positive and negative square root.
She should first substitute y for t before solving.
Beth says that she can write that she should have taken both the positive and negative square root to eliminate the parameter. Therefore, option (c) is correct.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.
We have to find the error which is done by Beth to eliminate the parameter. So, we will take the first equation and do all the steps to find the error and get the desired result.
Given that, x=t²+3 and y=4t
Try find the expression of "t" in terms of "x". We will use equation (1) and we have
x-3=t²
t=√(x-3)
Thus, Beth says that she can write that she should have taken both the positive and negative square root to eliminate the parameter. Therefore, option (c) is correct.
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The Correct Answer Will Get Brainliest.
Ceres is an asteroid with a mass of 8.7 x 10^20 kg that is 2.767 AU from the sun. How many kilometers away is it from the sun?
A: 4.15 x 10^8 km
B: 5.8 x 10^9 km
C: 54.21 x 10^6 km
D: 1.84 x 10^7 km
What is the first step to simplify the expression: [–23 – [5 · (2 – 4)]] ÷ 32
Answer:
According to PEDMAS , We first simplify the PARENTHESES
[5 · (2 – 4)] = [5· -2] = -10
Step-by-step explanation:
Given expression [–23 – [5 · (2 – 4)]] ÷ 32
We have to find the first step to simplify the given expression.
We apply PEDMAS
P stands for PARENTHESES
E stands for EXPONENTS
D stands for DIVIDE
M stands for MULTIPLY
A stands for ADDITION
S stands for SUBTRACTION.
So, according to PEDMAS , We first simplify the PARENTHESES
Thus, [5 · (2 – 4)] = [5· -2] = -10
Classify each polynomial and determine its degree. The polynomial 3x2 is a with a degree of . The polynomial x2y + 3xy2 + 1 is a with a degree of .
Answer:
The polynomial 3x2 is a
monomial
with a degree of
2
.
The polynomial x2y + 3xy2 + 1 is a
trinomial
with a degree of
✔ 3
.
Step-by-step explanation:
this the answer on the edge