Answers
Related Questions
I need to know the answer to this problem
Answers
Answer:
{-1, 2, 47}
Choice B
Step-by-step explanation:
Function is g(x) = x² - 2
Domain is the possible set of x values and range is the set of function values for that domain
Here Domain = {- 2, - 1, 7}. This means these are values for which the function value g(x) exists
(Note this is not the entire domain, only a subset of the domain)
At x = - 2, g(x) = (-2)² - 2 = 4 - 2 = 2
At x = - 1, g(x) = (-1)² -2 = 1 -2 = -1
At x = 7, g(x) = (7)² -2 = 49 - 2 = 47
These are the corresponding range values for the given domain
Both domain and range sets are expressed from lowest to highest so we get range of g(x) as
{-1, 2, 47}
Choice B
NORMAL distribution is what shape?
how many in 1st deviation
2nd deviation
3rd deviation
Answers
A NORMAL distribution is a symmetrical probability distribution with a bell-shaped curve. It is also called a Gaussian distribution or a normal curve. This distribution is often used in statistics to represent a large number of natural phenomena, such as the distribution of height, weight, or IQ scores in a population.
The first deviation of a NORMAL distribution includes 68.2% of the data. This means that if we were to take a random sample of data from a normally distributed population, about 68.2% of the data would be within one standard deviation of the mean.
The second deviation includes 95.4% of the data. This means that about 95.4% of the data would be within two standard deviations of the mean.
The third deviation includes 99.7% of the data. This means that about 99.7% of the data would be within three standard deviations of the mean.
It is important to note that while these percentages hold true for a NORMAL distribution, they may not apply to other types of distributions.
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f(x)=4/x+2 translated one unit up followed by a horizontal stretch by a factor of 2
Answers
Thus, the image of function after the given translation and dilation is found as: f(x) = (2/x) + 3.
Explain about the horizontal stretch:As a base graph is widened and along x-axis and away from the y-axis, horizontal stretches occur.
We can comprehend the graphs of the family of functions by learning how to horizontally extend graphs. Depending on the scale factors used, we can also discover ways to speed up the graphing of new functions.
Given function:
f(x) = (4/x) + 2
Translation of 1 unit up, add 1 to the equation.
f(x) = (4/x) + 2 + 1
f(x) = (4/x) + 3
Now, horizontal stretch by a scale factor of 2.
Multiply 'x' with 2
f(x) = (4/2x) + 3
On simplification:
f(x) = (2/x) + 3
Thus, the image of the function after the given translation and dilation is found as: f(x) = (2/x) + 3.
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You pick a card at random. 4 5 6 7 What is P(4 or less than 6)? Write your answer as a percentag
Answers
Answer:
50%
Step-by-step explanation:
Only 4 and 5 can be considered because 6 is not included, so the probability would be 2/4, or 50%.
Answer: 50%
Step-by-step explanation: It says if you pick a random card that is less than 6 or 4. That means that 4 and 5 are the ones you hope to get. 2/4 = 50%.
Multiply (polynomials)
I WILL GIVE BRAINLIEST, NEED IT TODAY
Answers
Answer:
1. 12x² - 7x - 10
2. 10x² + 31x - 14
3. 3x² - xy - 9x + 4y - 12
4. 16y^4 - 1
5. 24x² - 21x - 3
6. -2m² - 2m + 12
7. 15d² - 31d - 12
8. 12x³ + 5x² - 2x
9. 6t² - 20t - 26
10. 48a² - 12b²
Step-by-step explanation:
1.
\((3x)(4x)+(3x)(-5)+(2)(4x)+(2)(-5)\) \(12x^2-15x+8x-10\) \(12x^2-7x-10\)2.
\((5x)(2x)+(-2)(2x)+(5x)(7)+(-2)(7)\) \(10x^2-4x+35x-14\) \(10x^2+31x-14\)3.
\((x)(3x) + (x)(-y) + (x)(3) + (-4)(3x) + (-4)(-y) + (-4)(3)\) \(3x^2-xy+3x-12x+4y-12\) \(3x^2-xy-9x+4y-12\)4.
\(((2y-1)(2y+1))(4y^2)+((2y-1)(2y+1))(1)\) \(16y^4-4y^2 + 4y^2 -1\) \(16y^4 - 1\)5.
\((3x)(8x)+(3x)(1)+(-3)(8x)+(-3)(1)\) \(24x^2+3x-24x-3\) \(24x^3-21x-3\)6.
\((-m)(2m)+(-m)(-4)+(-3)(2m)+(-3)(-4)\) \(-2m^2+4m-6m+12\)\(-2m^2-2m+12\)7.
\((5d)(3d)+(5d)(1)+(-12)(3d)+(-12)(1)\) \(15d^2 + 5d - 36d -12\) \(15d^2-31d -12\)8.
\((3x^2)(4x)+(3x^2)(-1)+(2x)(4x)+(2x)(-1)\) \(12x^3-3x^2+8x^2-2x\) \(12x^3+5x^2-2x\)9.
\((3t)(2t)+(3t)(2)+(-13)(2t)+(-13)(2)\) \(6t^2 + 6t - 26t -26\) \(6t^2-20t-26\)10.
\((4a)(12a)+(4a)(6b)+(-2b)(12a)+(-2b)(6b)\) \(48a^2+24ab-24ab-12b^2\)\(48a^2-12b^2\)Have a lovely rest of your day/night, and good luck w/ your assignments! (‾◡◝)
how many lattice paths are there from (2, 1) to (24, 30) that pass through the point (8, 10) but do not pass through either of the points (7, 7) and (16, 25)?
Answers
The number of lattice paths from (2, 1) to (24, 30) with a constraint of passing through (8, 10) but not (7, 7) or (16, 25) is a complex problem that requires a detailed mathematical calculation, that is explained below.
Lattice paths are sequences of steps in the form of up steps (U) and right steps (R) that connect two points in a grid. The number of lattice paths from one point to another can be calculated using combinatorics.
To determine the number of lattice paths from (2, 1) to (24, 30) that pass through the point (8, 10) but do not pass through either of the points (7, 7) and (16, 25), we need to calculate the total number of paths and subtract the number of paths that pass through the restricted points.
Let's call the total number of paths T, the number of paths that pass through (8, 10) P, the number of paths that pass through (7, 7) Q, and the number of paths that pass through (16, 25) R.
The number of paths from (2, 1) to (8, 10) is given by the binomial coefficient C(10 - 1, 8 - 2) = C(9, 6) = 84.
The number of paths from (8, 10) to (24, 30) is given by the binomial coefficient C(30 - 10, 24 - 8) = C(20, 16) = 18564.
The number of paths from (2, 1) to (24, 30) that pass through (8, 10) is given by T = P = 84 * 18564 = 1,547,136.
Similarly, the number of paths from (2, 1) to (7, 7) is given by the binomial coefficient C(7 - 1, 7 - 2) = C(6, 5) = 15.
The number of paths from (7, 7) to (24, 30) is given by the binomial coefficient C(30 - 7, 24 - 7) = C(23, 17) = 9,139,554.
The number of paths from (2, 1) to (24, 30) that pass through (7, 7) is given by Q = 15 * 9139554 = 137,093,310.
The number of paths from (2, 1) to (16, 25) is given by the binomial coefficient C(25 - 1, 16 - 2) = C(24, 14) = 3003.
The number of paths from (16, 25) to (24, 30) is given by the binomial coefficient C(30 - 25, 24 - 16) = C(5, 8) = 70.
The number of paths from (2, 1) to (24, 30) that pass through (16, 25) is given by R = 3003 * 70 = 210,210.
Finally, the number of paths from (2, 1) to (24, 30) that pass through (8, 10) but do not pass through either of the points (7, 7) and (16, 25) is T - P - Q - R = 1547136 - 137,093,310 - 210,210 = -135,599,384.
The number of lattice paths from (2, 1) to (24, 30) that pass through (8, 10) but do not pass through either of the points (7, 7) and (16, 25) is zero, as the result is negative.
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Consider the hypotheses shown below. Given that x
ˉ
=119,σ=27,n=46,α=0.10, complete parts a through c below. H 0
:μ=128
H A
⩽μ
=128
a. State the decision rule in terms of tho criteal value(s) of the test statistic: Reject the null hypothesis it the calculated value of the tost statistic, is otherwise, do not roject the null hypothesis. (Round to two decimal places as needed. Use a comma to separate answers as needed.) b. Stase the calculated value of the tost statistic. Tho best stasistic is (Round to toro decimal paces as needod.) c. State the conclusion. Beceuse the test statiski the null hypothesis and conclude the pepulation moan equal to 120 .
Answers
a. Decision rule: Reject the null hypothesis if the calculated z-value is less than or equal to -1.28. b. Calculated z-value: -1.8892. c. Conclusion: Reject the null hypothesis, indicating evidence that the population mean is less than 128.
To complete parts (a) through (c), we need to perform a hypothesis test for the given hypotheses
H0: μ = 128 (null hypothesis)
HA: μ ≤ 128 (alternative hypothesis)
Given: X= 119 (sample mean)
σ = 27 (population standard deviation)
n = 46 (sample size)
α = 0.10 (significance level)
a. The decision rule is to reject the null hypothesis if the calculated value of the test statistic is less than or equal to the critical value(s) of the test statistic. Since the alternative hypothesis is one-sided (μ ≤ 128), we will use a one-sample z-test and compare the calculated z-value with the critical z-value.
To find the critical z-value, we need to determine the z-value corresponding to the significance level α = 0.10. Looking up the critical value in the standard normal distribution table, we find that the critical z-value is -1.28 (rounded to two decimal places).
b. The calculated value of the test statistic, in this case, is the z-value. We can calculate the z-value using the formula
z = (X - μ) / (σ / √n)
Substituting the given values:
z = (119 - 128) / (27 / √46) ≈ -1.8892 (rounded to two decimal places)
c. The conclusion is based on comparing the calculated value of the test statistic with the critical value. Since the calculated z-value of -1.8892 is less than the critical z-value of -1.28, we have enough evidence to reject the null hypothesis. Therefore, we conclude that the population mean is less than 128.
The conclusion statement in part (c) is inconsistent with the given alternative hypothesis and should be revised accordingly.
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John has 48 square centimeter tiles he wants to use to create a mosaic. He wants the mosaic to be rectangular with a length that is 2 centimeters longer than the width.
Answers
Answer:
Step-by-step explanation:
A= LxW
Given that length is 2 cm longer than the width, it may be expressed as l = w + 2. Then, the area becomes,
(w + 2) x w = 48
w(w+2)=48
Answer:
B)w(w + 2) = 48
Step-by-step explanation:
edg2021
Find fourconsecutive integers with the sum of 54
Answers
Answer:
They are 12, 13, 14 and 15.
Step-by-step explanation:
If the least integer is x, then:
x + x + 1 + x + 2 + x + 3 = 54
4x + 6 = 54
4x = 48
x = 12.
A police car drives with a constant speed of
56 miles per hour. How long will it take to
travel a distance of 42 miles?
Answers
Answer:
45 minutes
Step by step explanation:
60min ÷ 56miles × 42miles = 45mins
45mins
8−4s=s+13 solve for s
Answers
To solve start by subtracting s on both sides
8-3s=13
Then we subtract 8 on both sides
-3s=5
Then divided by -3 on both sides
S=5/-3 or can be rewritten as -5/3
Q. What is the measure of BOC
Answers
Answer:
142 i think
Step-by-step explanation:
180-38=142
The expression two square root of three minus square root of 27 is equivalent to
Answers
Answer:
-0.954(rounded)
Step-by-step explanation:
first write it in number form
√2(3)-√27
the exact form will be 3√2-3√27 = -0.954(rounded)
In circle C. r = 32 units.
What is the area of circle C?
A
32īt units?
c
641 units?
256TI units
1024Tt units?
Answers
Answer:
1024 pi
Step-by-step explanation:
r = 32 units.
Area = pi * r^2
Area = 3.14 * 32^2
Area = 1024 * pi
Tt = pi??
Consider this equation. [CHECK IMAGE BELOW!]
![Consider this equation. [CHECK IMAGE BELOW!]](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/vFiD06PbRVQuhgtkSNtwIveQSuOtgjuR.png)
Answers
The equation √(x - 1) - 5 = x - 8 has two solutions 2 and 5. The valid solution is 5.
Finding the solution to given equation:The set of values that can be satisfies the given condition in the equation is known as the solution. We can solve the equation by adding or subtracting the same integer from both sides. Here adding or subtracting doesn't change the value of the equation.
Here we have
√(x - 1) - 5 = x - 8
Solve the above equation to get the solutions
√(x - 1) - 5 = x - 8
Add 5 on both sides
√(x - 1) - 5 + 5 = x - 8 + 5
√(x - 1) = x - 3
Do squaring on both sides
[√(x - 1) ]² = (x - 3)²
[ x - 1 ] = (x² + 9 - 6x)
x² + 9 - 6x - x + 1 = 0
x² - 7x + 10 = 0
Now factorize the above equation
x² - 5x - 2x + 10 = 0
x(x - 5) - 2(x - 5) = 0
(x - 5) (x - 2) = 0
(x - 5) = 0 and (x - 2) = 0
x = 5 x = 2
at x = 2 => √(2 - 1) - 5 = 2 - 8
=> √1 - 5 = 2 - 8
=> - 4 = -6 [ which is not true ]
at x = 5 => √(5 - 1) - 5 = 5 - 8
=> √(4 - 1) - 5 = - 3
=> 2 - 5 = -3 [ which is true ]
Therefore,
The equation √(x - 1) - 5 = x - 8 has two solutions 2 and 5. The valid solution is 5.
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Graph the line that passes through the points (6,-4) and (3,-6) and determine
the equation of the line.
Answers
Answer:
\(y = \frac23x - 8\)
Step-by-step explanation:
Hello!
First, let's plot the points and draw a straight line through them (image).
Remember that a coordinate is given in the format of (x,y).
Parts of a LineEquation format: \(y = mx + b\)
m = slopeb = y-interceptThe slope is how the graph changes in y as it does in x. Given our two points, the graph rises 2 units and runs 3. That means that the slope is \(\frac23\).
\(y = \frac23x + b\)The y-intercept is the intersection of the graph and the y-axis. The intersection takes place at y = -8, so the y-intercept is -8.
\(y = \frac23x - 8\)The equation is \(y = \frac23x - 8\).
If 72 is added to a number it will be 5 times as larger as it was originally
Answers
Answer:
x=18
Step-by-step explanation:
previous number: x
x+72=5x
72=4x
x=18
Answer: 360
Step-by-step explanation: factor \(2^{3} * 3^{2} * 5\)
a teacher wants to see if a new unit on factoring is helping students learn. she has five randomly selected students take a pre-test and a post test on the material. the scores are out of 20. has there been improvement? (pre-post) what value of t would you use for the 90% confidence interval? student 1 2 3 4 5 pre-test 12 14 11 12 13 post- test 15 17 15 20 13 group of answer choices 2.776 2.132 4.604 3.747 1.645
Answers
The paired t-test results suggest that there is no significant improvement in students' learning after the new unit on factoring, based on a 90% confidence level.
How to find the value of t?To determine if there has been an improvement in students' learning after a new unit on factoring, we can perform a paired t-test on the pre-test and post-test scores of the five randomly selected students.
The differences between the pre-test and post-test scores for each student are: 3, 3, 4, 8, 0.
The mean of the differences is 3.6, and the sample standard deviation is 2.39.
The t-value for a 90% confidence interval with 4 degrees of freedom is 2.776. Since the calculated t-value of 2.68 (calculated as the mean of the differences divided by the standard error of the mean of the differences) is less than the critical t-value of 2.776, we fail to reject the null hypothesis that there is no improvement in students' learning.
Therefore, there is not enough evidence to conclude that the new unit on factoring has helped students learn based on the sample data.
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You are shopping for your holiday feast. The price for
a turkey at Walmart is $12.62 for 10.7 pounds. The
cost for a turkey at Kroger is 8.45 for 8.5 pounds.
Which store has the best unit price for Turkey?
Answers
Answer:
Price of 1 pound Turkey at Walmart = $1.18 and Price of 1 pound Turkey at Kroger = $0.99
So, Kroger has the best unit price for Turkey.
Step-by-step explanation:
Price of 10.7 pound Turkey at Walmart = $12.62
Price of 8.5 pound Turkey at Kroger = $8.45
We need to find store that provides best unit price for Turkey.
We need to find price of 1 pound of Turkey for each store
Price of 1 pound of Turkey at Walmart:
Price of 10.7 pound Turkey at Walmart = $12.62
Price of 1 pound Turkey at Walmart = $12.62/10.7
Price of 1 pound Turkey at Walmart = $1.18
Price of 1 pound of Turkey at Kroger
Price of 8.5 pound Turkey at Kroger = $8.45
Price of 1 pound Turkey at Kroger = $8.45/8.5
Price of 1 pound Turkey at Kroger = $0.99
So, Price of 1 pound Turkey at Walmart = $1.18 and Price of 1 pound Turkey at Kroger = $0.99
So, Kroger has the best unit price for Turkey.
can someone slove this −8 + x = 3
Answers
Answer:
11
Step-by-step explanation:
Subtract:
-8 + x = 3
+8 +8
--------------
x = 11
Hope this helped.
Answer:
x = 11
Step-by-step explanation:
−8 + x = 3
Add 8 to both sides
x = 11 ✓
The equation below has infinitely many solutions
12 + 4n = 4(n + 3)
Is that true?
Answers
Answer:
yes
Step-by-step explanation:
an infinite solution is when each side of the equation is equal. And when you distribute 4 to n and 3, it becomes 4n+12, and that is the same as the other side of the equation
Help me question 3 plzzz
Answers
Answer:
it should be the top answer
Step-by-step explanation:
it's asking for a fraction with 3 as a denominator that is greater than one. if you need a better explanation feel free to ask in a comment!
Answer:
2+x
--------- >1
3
Step-by-step explanation:
......ur welcome.......
Need help ASAP
there are 600 poetry books at the library.Of the poetry books,8.5 are for children.How many poetry books at the library are for children
Answers
The number of poetry books at the library that are for children is 510
How many poetry books at the library are for childrenfrom the question, we have the following parameters that can be used in our computation:
Books = 600
If 8.5/10 of the poetry books are for children, we can calculate the number of poetry books for children as follows:
Number of poetry books for children = (8.5/10) x 600
Number of poetry books for children = 510
Therefore, there are 510 poetry books at the library for children.
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*Will mark brainliest* Can someone explain this to me?
Answers
Is right
Hope that helped XD
[((a ^ 2 - 25b ^ 2) ^ 3 + (25b ^ 2 - 9c ^ 2) ^ 3 + (9c ^ 2 - a ^ 2) ^ 3)/((a - 5b) ^ 3 + (5b - 3c) ^ 3 + (3c - a) ^ 3)]
Answers
The factorization is [(a + 5b)/(a - 5b)]³ + [(5b + 3c)(5b - 3c)]³ + [(3c + a)(3c - a)]³
To answer the question, w e need to know what factorization is
What is factorization?Factorization is the breaking down of a larger expression into smaller expression by grouping it into its factors.
So, [{(a² - 25b²}³ + {25b² - 9c²}³ + {9c² - a²}³)/{(a - 5b)³ + (5b - 3c)³ + (3c - a)³}]
= [{(a² - (5b)²}³ + {(5b)² - (3c)²}³ + {(3c)² - a²)})/{(a - 5b)³ + (5b - 3c)³ + (3c - a)³}]
Using the fact that x² - y² = (x + y)(x - y) in the terms in the numerator, we have
[{(a - 5b)(a + 5b)}³ + {(5b - 3c)(5b + 3c)}³ + {(3c - a)(3c + a)}³/{(a - 5b)³ + (5b - 3c)³ + (3c - a)³}]
Factorizing out the denominator, we have
= [{(a + 5b)/(a - 5b)}³ + {(5b + 3c)/(5b - 3c)}³ + {(3c + a)/(3c - a)}³[(a - 5b)³ + (5b - 3c)³ + (3c - a)³]/{(a - 5b)³ + (5b - 3c)³ + (3c - a)³}]
Cancelling out the denominator, we have
= [(a + 5b)/(a - 5b)]³ + [(5b + 3c)(5b - 3c)]³ + [(3c + a)(3c - a)]³
So, the factorization is [(a + 5b)/(a - 5b)]³ + [(5b + 3c)(5b - 3c)]³ + [(3c + a)(3c - a)]³
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if 10 servings are 4 ounces how many ounces is 7 servings
Answers
Answer:
2.8 ounces
Step-by-step explanation:
4/10= 0.4
0.4*7= 2.8 ounces
Answer:
2.8 ounces per 7 servings.
Step-by-step explanation:
set a proportion
10 servings 7 servings
---------------- = ---------------
4 ounces x ounces
7/10 = 0.7
4 x 0.7 = 2.8
x = 2.8
Mariam read 12 books in 16 months. What was her rate of reading in books per month?
Answers
Answer:
3/4 books per month
Step-by-step explanation:
12/16=3/4
So she reads 3/4 of a book each month
What is the median for 2 8 7 8 6 25 6 8 3
Answers
Answer:
7
Step-by-step explanation:
The median is 7. When you put them in order of least to greatest, the number in the middle is 7.
HELP ME PLEASE! SIMPLIFY EACH EXPRESSION: 1.) a(5x7). 2.) c + ( 17 + 8)
Answers
Step-by-step explanation:
1.)
a(5 x 7)
a(35)
35a
2.)
c + ( 17 + 8)
c + (25)
c + 25
What is the completely factored form of this polynomial? 7x4 14x3 − 168x2
Answers
The completely factored form of the polynomial is 7x² (x + 6) (x - 4)
Given,
The polynomial ; 7x⁴ + 14x³ - 168x²
We have to find the complete factored form of this polynomial;
Polynomial;
An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).
Here,
The polynomial is 7x⁴ + 14x³ - 168x²
Now,
Factorize the polynomial using common factors;
That is,
7x⁴ + 14x³ - 168x²
7x² (x² + 2x - 24)
Solve x² + 2x - 24 using quadratic formula;
That is,
\(\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}\) = \(\frac{-2(+-)\sqrt{2^{2} -4*1*-24} }{2*1}\) = \(\frac{-2(+-)\sqrt{4-96} }{2}\) = -2±√-92 / 2
Now,
Solve
-2 + √-92 / 2 = 3.79 ≈ 4
Solve
-2 - √-92 / 2 = -5.79 ≈ -6
Then,
The factors will be (x - 4) and (x + 6)
So,
7x² (x + 6) (x - 4) will be the factored form of the polynomial.
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