Answer:
linear pair
Step-by-step explanation:
the sum of linear pair angles is 180 degree.
so if we apply 16 in place of x in both equations and add them we get 180
Which of the following statements is not true?
Choose the incorrect statement below.
The three-part inequality - 1 <-3x ≤ 1 is equivalent to -5x<
15x2
<3 is equivalent to -6≤5-x<6.
The three-part inequality - 3s-
OD. The three-part inequality -7≤11-x<7 is equivalent to 4 < x≤ 18.
OA.
OB.
C.
The three-part inequality -5s-10x<5 is equivalent to
5-x
...
The incorrect statement is:
B. The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x < 6.
In the given statement, there is an error in the inequality. The correct statement should be:
The three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6.
When solving the three-part inequality - 5x < 15x^2 < 3, we need to split it into two separate inequalities. The correct splitting should be:
- 5x < 15x^2 and 15x^2 < 3
Simplifying the first inequality:
- 5x < 15x^2
Dividing by x (assuming x ≠ 0), we need to reverse the inequality sign:
- 5 < 15x
Simplifying the second inequality:
15x^2 < 3
Dividing by 15, we get:
x^2 < 1/5
Taking the square root (assuming x ≥ 0), we have two cases:
x < 1/√5 and -x < 1/√5
Combining these inequalities, we get:
- 5 < 15x and x < 1/√5 and -x < 1/√5
Therefore, the correct statement is that the three-part inequality - 5x < 15x^2 < 3 is equivalent to - 6 ≤ 5 - x and 5 - x < 6, not - 6 ≤ 5 - x < 6 as stated in option B.
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Which type of data is most appropriate to display in the data below
Find the common difference of the sequence 4, 12, 20, ....
8
In this pattern, we have 4 12 then 20.
We can see that the difference 4 and 12 is 8.
Since the difference between 12 and 20 is also 8, the common difference of the sequence is 8.
The question on the top is
A student spins The spinner once and rolls the 1-6 number cube once. The second question is
What is the probability a student spends an even number and rolls an odd number, written as a percentage?
10 points this is due tomorrow.
Answer:
Option C
Step-by-step explanation:
For the spinner,
Probability of spinning an even number = \(\frac{\text{Favorable outcomes}}{\text{Total outcomes}}\)
Favorable outcomes = even numbers on the spinner
= 3
Total outcomes = Total numbers on the spinner
= 6
Probability of spinning an even number = \(\frac{3}{6}\)
= \(\frac{1}{2}\)
For the cube,
Total outcomes = total numbers on the dice = 6
Favorable outcome = Odd numbers on the dice = 3
Probability of rolling an odd number on rolling a cube = \(\frac{3}{6}\) = \(\frac{1}{2}\)
Probability of spinning an even number on spinner and an odd number on a cube = \(\frac{1}{2}\times \frac{1}{2}\)
= \(\frac{1}{4}\)
Percentage probability = \(\frac{1}{4}\times 100\)
= 25%
Option C is the answer.
1,2,3,4,5 what is probability that an even number will be chosen?
Answer:
Step-by-step explanation:
step 1
100%/the total number = percent for one probability
100/5 = 20%
2 and 4 is even.
total even number * percent for one probability = total percent for even number
20% * 2 = 40%
therefore total even number is 40%
The probability is:
2/5Step-by-step explanation:
Remember the formula for probability:
\(\boxed{\!\!\boxed{\bold{Probability=\frac{Favourable~outcome}{total~outcomes}\quad}}\!\!}\)
In this case, the favourable outcome (an even number) is 2, because there are only 2 even numbers in the set.
As for the total outcomes, there are 5 of them, because we have 5 numbers total.
So the probability of choosing an even number is 2/5.
a copy machine makes 98 copies in 3 minutes and 30 seconds how many copies does it make per minute
Answer:
3 min 30 seconds= 210 seconds
In 210 seconds, number if copies machine make= 98
In 1 second= 98/210 copies
In 60 seconds= 60*(98/210)
= 28 copies
In a study investigating the effect of car speed on accident severity, the vehicle speed at impact was recorded for 5,000 fatal accidents. For these accidents, the mean speed was 46 mph and the standard deviation was 13 mph. A histogram revealed that the vehicle speed distribution was mound shaped and approximately symmetric. (Use the Empirical Rule.) (a) Approximately what percentage of vehicle speeds were between 33 and 59 mph
Answer:
68%
Step-by-step explanation:
Given that:
Mean speed (m) = 46
Standard deviation (s) = 13
Approximately what percentage of vehicle speeds were between 33 and 59 mph
Obtain the Zscore for P(Z < x) for both values and subtract :
For x = 33
Zscore :
Z = (x - m) / s
Z = (33 - 46) / 13 = - 1
p(Z < - 1) = 0.15866 ( Z probability calculator)
For x = 59
Zscore :
Z = (x - m) / s
Z = (59 - 46) / 13 = 1
p(Z < 1) = 0.84134 ( Z probability calculator)
Hence, 0.84134 - 0.15866 = 0.68268 = 0.68
0.68 * 100% = 68%
Please help, I have no clue how to answer this.
Answer:
74-2c
Step-by-step explanation:
you know that craig's age is c. You multiply c by two, which is twice craig's age. Then you subtract that from c.
Simplify using the order of operations. 2+6*8=
Answer:
The answer is 50.
Step-by-step explanation:
Use MDAS
Multiplication, Division, Addition and Subtraction
2 + 6 * 8 =
Multiply first then add
2 + 6*8 = ?
= 2 + 48
= 50
Can someone help me pls
Answer:
240 tickets
Step-by-step explanation:
1200/5=240
btw the "/" means divide
If events A and B are independent, what must be true?A.) P(AB) = P(B)
B.) P(A/B) = P(A)
C.) P(A) = P(B)
D.) OP(AB) = P(BIA)
Answer:
B.) P(A/B) = P(A)
Step-by-step explanation:
If two events, A and B are independent:
We have that:
\(P(A \cap B) = P(A)P(B)\)
Conditional Probability
We use the conditional probability formula to solve this question. It is
\(P(B|A) = \frac{P(A \cap B)}{P(A)}\)
In which
P(B|A) is the probability of event B happening, given that A happened.
\(P(A \cap B)\) is the probability of both A and B happening.
P(A) is the probability of A happening.
Since they are independent:
\(P(A \cap B) = P(A)P(B)\)
Then
\(P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{P(A)P(B)}{P(A)} = P(B)\)
So
\(P(B|A) = P(B)\), or either:
\(P(A|B) = P(A)\), and thus, the correct answer is given by option B.
y^2=169 what are the solutions
Answer:
13
Step-by-step explanation:
y^2=169
y^2=13^2
y=13
\( {y}^{2} = 169\)
\( {y}^{2} - 169 = 0\)
\((y - 13)(y + 13) = 0\)
\(y - 13 = 0 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: y + 13 = 0\)
\( \: \: \: \: \: \: \: \: \: y = 0 + 13 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: y = 0 - 13\)
\( \: \: \: \: \: \: \: \: \: y = 13 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: y = - 13\)
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3/4(1/4x + 8) - (1/2x + 2) = 3/8(4-x) - 1/4x
What is the value of x?
Step-by-step explanation:
0.75(0.25x+8)-(0.5x+2)=0.375(4-x)-0.25x
0.1875x+6-0.5x-2=1.5-0.375x-0.25x
0.1875x-0.5x+0.375x+0.25x=1.5-6+2
0.3125x=-2.5
x=-2.5/0.3125
x= -8
It takes 1/2 can of paint to paint a table. A man has 2 cans of paint, how many tables can he paint
Answer:
it takes 4 tables for the man to paint
help help help help help help help help help help help help help help help help help help help help
Find the number of sides of a regular polygon in which each exterior angle has a measure of 6
Answer:
Below
Step-by-step explanation:
The exterior angles for any polygon sum to 360 °
so
6 * n = 360 ° <===== where 'n' is the number of sides
n = 60 sides
Given the polynomial 9x2y6 − 25x4y8, rewrite as a product of polynomials.
(9xy3 − 25x2y4)(xy3 + x2y4)
(9xy3 − 25x2y4)(xy3 − x2y4)
(3xy3 − 5x2y4)(3xy3 + 5x2y4)
(3xy3 − 5x2y4)(3xy3 − 5x2y4)
Answer:
Option 3
(3xy³ + 5x²y⁴) (3xy³ - 5x²y⁴)
Step-by-step explanation:
Factorize polynomials:
Use exponent law:
\(\boxed{\bf a^{m*n}=(a^m)^n} \ & \\\\\boxed{\bf a^m * b^m = (a*b)^m}\)
9x²y⁶ = 3²* x² * y³*² = 3² * x² * (y³)² = (3xy³)²
25x⁴y⁸ = 5² * x²*² * y⁴*² = 5² * (x²)² * (y⁴)² = (5x²y⁴)²
Now use the identity: a² - b² = (a +b) (a -b)
Here, a = 3xy³ & b = 5x²y⁴
9x²y⁶ - 25x⁴y⁸ = 3²x²(y³)² - 5²(x²)² (y⁴)²
= (3xy³)² - (5x²y⁴)²
= (3xy³ + 5x²y⁴) (3xy³ - 5x²y⁴)
What is the difference between population parameters and estimates in a sample?
Answer:
Using that sample, you calculate the corresponding sample characteristic, which is used to summarize information about the unknown population characteristic. The population characteristic of interest is called a parameter and the corresponding sample characteristic is the sample statistic or parameter estimate.
Step-by-step explanation:
If you collect a sample and calculate the mean and standard deviation, these are sample statistics.
f(x) = x2
What is f(x) + f(x) + f(x)?
Answer:
3x²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/CoefficientsFunctionsFunction NotationStep-by-step explanation:
Step 1: Define
[Given] f(x) = x²
[Solve] f(x) + f(x) + f(x)
Step 2: Find
Combine like terms: 3f(x)Substitute in function: 3(x²)Multiply: 3x²Rewrite the function by completing the square.
h (x)=x^2+3x−18
Answer: (x+6)(x-3)
Step-by-step explanation:
y=x^2+3x-18
(x+6)(x-3 )
Let A be a 7×5 matrix with rank equal to 4 and let b be a vector in R8. The four fundamental sub- spaces associated with A are R(A), N(AT ), R(AT ), and N (A).
The value of R(A) = 4, N(AT ) = 3, R(AT ) = 4, and N (A) = 3.
Given that
Dimension of matrix = 7×5
Rank of matrix = 4
The range space of A,
Which is a subspace of R, is known as R(A).
It is made up of all conceivable linear combinations of A's columns.
The dimension of R(A) = rank of A,
Which is 4 in this case.
The null space of the transpose of A,
Which is also a subspace of R, is designated as N(AT).
All potential answers to the equation ATx = 0,
Where x is a R column vector, are included in it.
N(AT) has a dimension = nullity of A,
which in this case is 3 in this example.
The range space of the transposition of A, is designated as R(AT).
The rows of A are arranged in all conceivable linear configurations.
The rank of A = 4
Thus it equal to dimension of R(AT).
N(A) is the null space of A.
Axe = 0, where x is a column vector in R, are included in it.
The nullity of AT, which is three, is likewise equivalent to the dimension of N(A).
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Cynthias mom gave her $20 to spend at her friends birthday part on Friday night.write an inequality that represents the number of games ,g, Cynthia can bowl to remain within her budget
Answer: In order for me to answer that I would need to know how much it cost to play a game
Step-by-step explanation:
:::A construction company needs to remove5 1/6tons of dirt from a construction site. They can remove 5/9 tons of dit each hour. What is the total number of hours
it will take to remove the dirt?
Write your answer as a mixed number in simplest form. Jjsjsjsjssksksksksjsjsjsj
In linear equation, The total number of hours it will take to remove the dirt will be 9 3/10 hours.
What in mathematics is a linear equation?
An algebraic equation with simply a constant and a first-order (linear) term, such as y=mx+b, where m is the slope and b is the y-intercept, is known as a linear equation. Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
Convert the mixed fraction number into a fraction number. Then we have
5 ¹/₆ = 31 / 6
The total number of hours it will take to remove the dirt will be given as,
5/9 = (31/6) / Time
Time = (31/6) / (5/9)
Time = (31 x 6) / (6 x 5)
Time = 279 / 30
Time = 9 3/10 hours
The total number of hours it will take to remove the dirt will be 9 3/10 hours.
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A sine function has the following key features:
Period = 4
Amplitude = 3
Midline: y=−1
y-intercept: (0, -1)
The function is not a reflection of its parent function over the x-axis.
Use the sine tool to graph the function. The first point must be on the midline and the second point must be a maximum or minimum value on the graph closest to the first point.
The resulting graph should have a period of 4, an amplitude of 3, a midline of y=-1, and no reflection over the x-axis.
What are the period and amplitude of a graph?
The period of a function is the smallest distance over which the function repeats itself. In other words, it is the length of one complete cycle of the function. For a sine or cosine function of the form f(x) = a sin(bx) or f(x) = a cos(bx), the period is given by 2π/b.
The most simple sine function considered the parent function, is:
y = sin(x)
That function has:
Midline, also known as rest or equilibrium position: y = 0
Minimum: - 1
Maximum: 1
Amplitude: the distance between a minimum or a maximum and the midline = 1
period: the interval of repetition of the function = 2π
The more general sine function is:
y = Asin(Bx + C) + D
That function has:
Midline: y = D (it is a vertical shift from the parent function)
Minimum: - A + D
Maximum: A + D
Amplitude: A
period: 2π/B
phase shift: C (it is a horizontal shift of from the parent function)
Now, you have to draw the sine function with the given key features:
Period = 4 ⇒ 2π/B = 4 ⇒ B = π/2
Amplitude, A = 3
midline y = - 1 ⇒ D = - 1
y-intercept = (0, -1)
Substitute the know values and use the y-intercept to find C:
y = 3sin(2x/π + C) -1
Substitute (0, -1)
-1 = 3sin(2(0)/π + C) -1
3sin(C) = 0
sin(C) = 0
C = 0
Hence, the function to graph is:
y = 3sin(2x/π ) -1
To draw that function use this:
Maxima: 3(1) - 1 = 3 - 1 = 2, at x = 1 ± 4n (n = 0, 1, 2, 3, ...)
Minima: 3(-1) - 1 = - 3 - 1 = -4
y-intercept: (0, - 1)
x-intercepts: the solutions to 0 = 3sin(πx/2) = - 1
first point of the midline: (0, -1) it is the same y-intercept
Hence, the resulting graph should have a period of 4, an amplitude of 3, a midline of y=-1, and no reflection over the x-axis.
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The mean life of a tire is 30,000 km. The standard deviation is 2000 km.
Then, 68% of all tires will have a life between ___________ km and __________ km.
Answer:between 28000 km and 32000 km
Step-by-step explanation:
the competitive advantage of some small american factories such as in tolerance contract manufacturing lies in their ability to produce parts with very narrow requirements, or tolerances, that are typical in the aerospace industry. consider a product with specifications that call for a maximum variance in the lengths of the parts of . suppose the sample variance for parts turns out to be . use , to test
The p-value is 0.1533, so p-value>0.05 fail to reject the null hypothesis. There is insufficient evidence to support the claim p-value greater than the significance level 0.05.
Consider the above given that
⇒\(& \alpha=0.05 \quad \mathrm{n}=34 \mathrm{~s}^2=0.0005 \\\)
⇒\(H_{0} : \sigma^2 \leq 0.0004 \\\)
⇒\(H_{a} : \sigma^2 > 0.0004\)
The null and alternative hypothesis test statistic:
Null and alternative hypotheses are used in statistical hypothesis testing. The null hypothesis of a test always predicts no effect or no relationship between variables, while the alternative hypothesis states your research prediction of an effect or relationship.⇒\(& \mathrm{x}^2=\left(\frac{\mathrm{n}-1}{\sigma^2}\right) \mathrm{s}^2 \\\)
\(& =\left(\frac{34-1}{0.0004}\right) 0.0005 \\\)
⇒\(& \mathrm{x}^2=\left(\frac{33}{0.004}\right) \times 0.0005 \\\)
\(& =82,500 \times 0.0005 \\\)
⇒\(& \mathrm{x}^2=41.25\)
⇒\(h_{0} : $\sigma^2$ is that or equal to $0.0004$\)
⇒\(h_{a} : $\sigma^2$ is greater that $0.0004$\)
⇒p value=p(z>41.25)
⇒p value=0.1533
By using P Value from Chi-Square Calculator
⇒p value=0.1533
⇒P value >0.05
Fail to reject the null hypothesis.
There is insufficient evidence to support the claim p value greater than the significance level 0.05.Therefore, the p-value is 0.1533, so p-value>0.05 fail to reject the null hypothesis.
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The competitive advantage of some small Americans factories such as in tolerance contract manufacturing lies in their ability to produce parts with very narrow requirements, or tolerances, that are typical in the aerospace industry. consider a product with specifications that call for a maximum variance in the lengths of the parts of 0.0004. suppose the sample variance for 34 parts turns out to be \(s^{2}=0.0005\) . use \(\alpha=0.05\) , to test whether population variance specification is violated.
\(H_{0} \\H_{a}\)
Test statistic:
The p-value is-------.
Find the value of x. If necessary, write your answer in simplest radical form.
12
9
Answer:
3√7
Step-by-step explanation:
9²+B²=12²
simplify
81+B²=144
minus the 81
B²= 63
Urgent!! Please help!!
Answer:
1100/7
Step-by-step explanation:
Because, this is half circle then if we need the length of it we will use the circumference (2 x pie x r) x 1/2
Which of these describes information that can appear in a consumer 's credit report?
A. The Name Of A Store Where The Consumer pays for all purchases
B. The Name Of A Company That Gave The Consumer A Car Loan 2 Years Ago
C. The Amount Of Money The Consumer Will Need Too Borrow In The Next 5 Years
D. The Amount That The Consumer Loaned To A Family Member
Answer:
b the car loan .................
Which equation represents the graph shown?
Step-by-step explanation:
The graph is a linear equation starting at 0.
form y = mx + b.
starts at 0, so b = 0, so the 2nd and 3rd choices are incorrect.
change in y/change in x is the slope,
and you can see it goes up about 35 in the y direction for every 1 in the x, so the slope is 35.
so it's the first answer.
The linear equation of the graph is y = 35x. So, the option first is correct.
What is a linear equation?A linear equation is an equation in which the highest power of the variable is always 1. The standard form of a linear equation in one variable is of the form y = mx + b.
The graph is a linear equation origin at 0.
Since b = 0, the 2nd and 3rd choices are incorrect.
The slope = change in y/change in x
Here, we can see that it goes up about 35 in the y-direction for every 1 unit of in the x, so the slope is 35.
so the first answer is correct which is y = 35x.
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In ΔTUV, u = 330 inches, t = 800 inches and ∠T=53°. Find all possible values of ∠U, to the nearest degree.
Answer: 19
Step-by-step explanation: