Answer:
x = 120
Step-by-step explanation:
A regular polygon means all sides and angles are equal. If a triangle has 180 degrees total, 180 / 3 = 60. That means each angle is 60 (interior angle). That is a straight line, which is 180 degrees, 180 - 60 = 120.
Mr. Smith and Mr. Jones both plan to do an experiment to determine
whether a coin is a fair coin (would land heads 50% of the time). Mr. Smith
plans to flip the coin 1,000 times, but Mr. Jones only plans to flip it 10
times. Explain who is using the better method and why?
Answer:
Mr. Smith
Step-by-step explanation:
Mr Smith is using the better method because he is making use of a larger number of trials such that the result of his experiment whereby he plans to flip the coin 1,000 times, will be more accurate than the result of that of Mr Jones that only plans to flip the coin only 10 times which allows for the large number correct outcome of the flipping of the coin to balance out the few inaccuracies. Whereby when only 10 trials are used, the few number of the inaccurate outcomes will have a larger impact on the correct result of the experiment.
what is the slope of the line that passes through the points (6,8) and (8,-9)?
\( \frac{ - 9 - 8}{8 - 6} = \frac{ - 17}{2} = - 8.5 \)
This graph shows the rate of a scuba diver’s ascent to the surface. What does the y-intercept of the graph represent?
Answer: The scuba diver was 35 meters below the surface of the water at the start of the ascent.
Step-by-step explanation:
Select the acceptable conclusions to a hypothesis test. a The value of the test statistic lies in the nonrejection region. Therefore, there is no evidence to suggest that the alternative hypothesis is true. b The value of the test statistic does not lie in the rejection region. Therefore, we accept the null hypothesis. c The value of the test statistic lies in the rejection region. Therefore, there is evidence to suggest that the null hypothesis is not true. d The value of the test statistic does not lie in the rejection region. Therefore, there is no evidence to suggest that the alternative hypothesis is true. e The value of the test statistic does not lie in the rejection region. Therefore, there is evidence to suggest that the null hypothesis is true. f The value of the test statistic lies in the rejection region. Therefore, there is evidence to suggest that the alternative hypothesis is true.
The acceptable conclusions to a hypothesis test are option a, c, d, f.
What is hypothesis test?
Hypothesis Testing is a way of statistical analysis in which a person can put his assumptions about a population parameter to the test. It usually used to estimate the relationship between two statistical variables.
By the property of hypothesis test the following can be stated.
⇒The value of the test statistic lies in the non rejection region. Therefore, there is no evidence to suggest that the alternative hypothesis is true.
⇒ The value of the test statistic lies in the rejection region. Therefore, there is evidence to suggest that the null hypothesis is not true.
⇒The value of the test statistic does not lie in the rejection region. Therefore, there is no evidence to suggest that the alternative hypothesis is true.
⇒ The value of the test statistic lies in the rejection region. Therefore, there is evidence to suggest that the alternative hypothesis is true.
Hence the correct options are a, c, d, f.
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A golfer at G wishes to hit a shot between two trees P and Q, as shown in the
diagram to the right. The trees are 31 metres apart, and the golfer is 74 metres
from P and 88 metres from P. Find the angle within which the golfer must play
the shot, correct to the nearest degree.
Answer:
20°
Step-by-step explanation:
You want the measure of angle G in triangle GPQ with side lengths GP=74, PQ=31, QG=88 meters.
Law of cosinesThe law of cosines tells you the relevant relationship is ...
PQ² = GP² +GQ² -2·GP·GQ·cos(G)
Solving for angle G gives ...
G = arccos((GP² +GQ² -PQ²)/(2·GP·GQ))
G = arccos((74² +88² -31²)/(2·74·88)) = arccos(12259/13024)
G ≈ 19.735° ≈ 20°
The golfer must play the shot within an angle of about 20°.
What is the answer to 5ab 4c = ?
Answer:
the answer is 20abc
Step-by-step explanation:
5ab 4c
20abc
mark me as brainliest plyyyzzz
pls help asap if you can!!!
The statement that best proves that <XWY ≅ <ZYW is that two parallel lines are cut by a transversal, then the alternate interior angles are congruent
How to determine the statementTo determine the correct statement, we need to know the properties of a parallelogram.
These properties includes;
Opposite sides are parallel. Opposite sides are congruent. Opposite angles are congruent. Same-Side interior angles (consecutive angles) are supplementary. Each diagonal of a parallelogram separates it into two congruent triangles.The diagonals of a parallelogram bisect each other.Learn more about parallelogram at: https://brainly.com/question/10744696
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A relation is defined by the ordered pairs {(5, 25), (6, 30), (7, 35), (8, 40)}.
a. State two relationships about the relation.
b. Assuming the relation continues with the same relationship, state the two sets of ordered pairs that follow (8, 40).
Given relation is defined by the ordered pairs {(5, 25), (6, 30), (7, 35), (8, 40)}.a. Two relationships about the relation are: The relationship between x and y is that, as x increases by 1, y increases by 5.The relationship between the first number and the second number is that, the second number is equal to 5 times the first number added to 0. b.
Since the relation continues with the same relationship, the two sets of ordered pairs that follow (8, 40) are: {(9, 45), (10, 50)} Given relation is defined by the ordered pairs {(5, 25), (6, 30), (7, 35), (8, 40)}.a. Two relationships about the relation are:1.
The relationship between x and y is that, as x increases by 1, y increases by 5. It means if we add 1 to the first element of each pair, the second element increases by 5. The relation of the first number to the second number is such that, as the first number increases by 1, the second number increases by 5.2.
The relationship between the first number and the second number is that, the second number is equal to 5 times the first number added to 0. It means that the second element of each pair is 5 times the first element plus 0.b. Since the relation continues with the same relationship, the two sets of ordered pairs that follow (8, 40) are: {(9, 45), (10, 50)}.
It means that if we add 1 to the first element of (8, 40), the second element will increase by 5, which gives (9, 45). Similarly, if we add 1 to the first element of (9, 45), the second element will increase by 5, which gives (10, 50).
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We have 95% confidence in our interval, instead of 100%.because we need to account for the fact that:________
a) the sample may not be truly random.
b) we have a sample, and not the whole population.
c) the distribution of hours worked may be skewed
d) all of the above
We have 95% confidence in our interval, instead of 100%.because we need to account for the fact that a) the sample may not be truly random.
Strictly speaking, a 95% confidence interval means that if we were to take 100 different samples and calculate a 95% confidence interval for each sample, then approximately 95 of the 100 confidence intervals will contain the true mean (μ). In practice, however, we take one random sample and generate one confidence interval, which may or may not contain the true mean. The observed interval may overestimate or underestimate μ. Consequently, the 95% CI is the likely range of the true, unknown parameter. A confidence interval does not reflect the variability in the unknown parameter. Rather, it reflects the amount of random error in the sample and provides a range of values that are likely to include the unknown parameter. Another way of thinking about a confidence interval is that it is a range of possible values of a parameter (defined as a point estimate + margin of error) with a specified confidence level (which is similar to a probability).
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for shape (i) give the electron-domain geometry on which the molecular geometry is based.
In shape (i), there are two electron domains around the central atom. This means that the electron-domain geometry is linear. However, there are two bonding pairs and no lone pairs of electrons around the central atom, resulting in the molecular geometry also being linear.
The concept of electron-domain geometry and molecular geometry is essential in understanding the properties of molecules. The electron-domain geometry is determined by the number of electron domains (bonding or lone pairs) around the central atom in a molecule. On the other hand, the molecular geometry is determined by the arrangement of atoms in the molecule, taking into account the presence of lone pairs.
Knowing the electron-domain geometry and molecular geometry of a molecule is crucial in predicting its polarity and reactivity. For instance, polar molecules have an asymmetric distribution of electron density, while nonpolar molecules have a symmetric distribution. This difference in polarity affects the physical and chemical properties of a molecule, such as boiling point, melting point, and solubility.
In summary, in shape (i), both the electron-domain geometry and molecular geometry are linear, which means that the central atom has two bonding pairs and no lone pairs. Understanding the electron-domain and molecular geometry of molecules is essential in predicting their properties and behavior.
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A car dealership's goal is to sell a mean of 55 cars per day. In one week, it
sold the following numbers of cars each day:
53, 60, 48, 57, 52, 54, 56
How many more cars would it have had to sell during the week to meet its
goal?
A. 5
B. 35
C. 25
D. 15
Answer: they neeed to sell 5 more
Step-by-step explanation:
kimberly sent gifts to her friends. for each gift she used either a rectangular gift box or a cylindrical gift box. each box contains exactly one gift: either a fragrant soap or a pack of spicy roasted almonds. if half of the boxes she sent were cylindrical, and a third of the rectangular boxes contained soap, then how many cylindrical boxes contained soap?
Kimberly sent approximately 34 cylindrical boxes that contained soap
Let's assume Kimberly sent a total of 100 gift boxes. Since half of the boxes were cylindrical, that means she sent 50 cylindrical boxes.
If a third of the rectangular boxes contained soap, then 1/3 * (100 - 50) = 1/3 * 50 = 50/3 ≈ 16.7 rectangular boxes contained soap. Since we cannot have a fraction of a box, let's round it down to 16 rectangular boxes containing soap.
Now, since each box contains exactly one gift, the remaining cylindrical boxes must contain the pack of spicy roasted almonds. Therefore, out of the 50 cylindrical boxes, 50 - 16 = 34 cylindrical boxes contain soap.
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.
In rhombus ABCD shown below, AB=17 and AC=16 determine the length of BD without (hint , not with trigonometry)
Answer:
\(BD = 30\)
Step-by-step explanation:
Given
\(AB = 17\)
\(AC = 16\)
See attachment
Required
Find BD
If AC = 16, then:
\(AO = 16/2\) i.e. half the diagonal AC
\(AO = 8\)
The diagonals of a rhombus are perpendicular.
This implies that we can apply Pythagoras theorem.
Using Pythagoras theorem on triangle AOB, we have:
\(AB^2 = AO^2 + OB^2\)
\(17^2 = 8^2 + OB^2\)
\(289 = 64 + OB^2\)
Collect like terms
\(OB^2 = 289 - 64\)
\(OB^2 = 225\)
Take positive square roots of both sides
\(OB = 15\)
To solve for BD, we use:
\(OB = \frac{BD}{2}\) --- i.e. half the diagonal BD
\(BD = 2 * OB\)
\(BD = 2 * 15\)
\(BD = 30\)
For a 2-year select - and-ultemate mortality table, you are givan: (i) μ[37]+t=μ37+t−c,0⩽t⩽2 (iiv) e˙37:2=1.7 (iv) e˙37=57.5 Determine 10,000c.
The probability of dying between ages 37 and 39 is 1 - e˙37:2.
We can use the formula:
10,000c = 10,000 * μ39 * (1 - e˙37:2)
By substituting the given values into the formula, we can find the value of 10,000c.To determine 10,000c, we need to use the given information about the 2-year select-and-ultimate mortality table.
Let's break down the steps:
Recall that the symbol μ[37]+t represents the select-and-ultimate mortality rate for a person aged 37 plus t years. We are given that μ[37]+t = μ37+t - c, where 0 ≤ t ≤ 2.
We also have the value of e˙37:2, which represents the probability of surviving from age 37 to age 39. The given value is e˙37:2 = 1.7.
Additionally, we know the value of e˙37, which represents the probability of surviving from age 37 to age 38. The given value is e˙37 = 57.5.
Now let's calculate 10,000c:
Step 1:
Find the value of μ39 using the given information.
Since we know that μ[37]+t = μ37+t - c,
we can substitute t = 2:
μ[37]+2 = μ37+2 - c
Step 2:
Calculate μ39.
μ[37]+2 = μ37+2 - c
μ39 = μ37+2 - c
Step 3:
Use the relationship between mortality rates and survival probabilities.
We know that the probability of surviving from age 37 to age 39 is given by e˙37:2 = 1.7.
This means that the probability of dying between ages 37 and 39 is 1 - e˙37:2.
Step 4:
Calculate the value of 10,000c.
We can use the formula:
10,000c = 10,000 * μ39 * (1 - e˙37:2)
By substituting the given values into the formula, we can find the value of 10,000c.
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Find the volume of the prism. Round your answer to the nearest tenth, if necessary.
The volume of the hexagonal prism is 2928.0 cubic centimeters
How to calculate the volume of the hexagonal prismFrom the question, we have the following parameters that can be used in our computation:
Base lengths, l = 7 cm
Height, h = 23 cm
The volume of a hexagonal prism is calculated as
V = 3/2 * √3 * l²h
Substitute the known values in the above equation, so, we have the following representation
V = 3/2 * √3 * 7² * 23
Evaluate
V = 2928.0
Hence, the volume of the prism is 2928.0 cubic centimeter
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the x- and Y negative coordinates have the same sign
Answer:
if the x and y coordinates that mean that number is the solution to whatever the question is.
Step-by-step explanation:
combine like terms assignment plase help
Answer:
4y^3 + 4x^2 - 2
Step-by-step explanation:
Sort out these terms following powers of x and y:
First, y terms:
6y^3 - 2y^3 => 4y^3
Next, constants:
7 - 7 - 2 => -2
Next, x^2 terms:
6x^2 - 2x^2 => 4x^2
Now write out the modified expression, using the "combined terms" results given above:
4y^3 + 4x^2 - 2
A statistics student wishes to gather a sample of high school seniors for his project. he numbers each class of senior english and selects one class at random. he then interviews each student in that particular senior english class to be in his sample. this is an example of _______ sampling.
This is an example of random sampling. The statistics student numbers each class of senior English and selects one class at random, which ensures that each class has an equal chance of being chosen. By then interviewing each student in that particular senior English class, the student is including all members of the chosen class in his sample. Therefore, this method is considered random sampling.
What is sampling? Sampling is a method of selecting a part or subset of the population that resembles the whole population in characteristics. Random sampling is also known as probability sampling because every group has an equal probability of getting selected.
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Literal Equations
Solve for x:
x-b=a
Solve for k:
-3k=m
Solve for b:
2b-9=d
Solve for g:
aeg=10
Solve for y:
y/3=h
Solve for v:
3d=7v+5
Solve for h:
7a=10-2h
Solve for p:
5(4x+p)=w
Answer:
1. x=a+b
2.k=-1/3m
3.b=1/2d+9/2
4.???
5.y=3h
6.-5/7+3/7d
7.5-7/2a
8.1/5w-4x
Step-by-step explanation:
hope this helps
suppose that is the linear transformation where (a) (5 pts) determine . hint: (b) (5 pts) write the standard matrix for and give an explicit formula for .
The standard matrix for the linear transformation can be obtained by applying the transformation to the standard basis vectors. Additionally, an explicit formula for the transformation can be derived by observing the pattern in how the transformation operates on the basis vectors.
To determine the determinant of the linear transformation, we need to compute the determinant of its standard matrix. The standard matrix is obtained by applying the transformation to the standard basis vectors [1, 0] and [0, 1], and arranging the resulting vectors as columns. Let's denote the resulting vectors as [a, b] and [c, d]. The standard matrix for the transformation is then [[a, c], [b, d]]. The determinant of this matrix, denoted as det(A), provides the determinant of the linear transformation.
To find the explicit formula for the linear transformation, we examine how it operates on the basis vectors [1, 0] and [0, 1]. By applying the transformation, we obtain [a, b] and [c, d] respectively. From this pattern, we can deduce the formula for the transformation as T(x, y) = [ax + by, cx + dy], where a, b, c, and d are the entries of the standard matrix.
In summary, the determinant of the linear transformation is given by det(A), where A is the standard matrix. The standard matrix is obtained by applying the transformation to the standard basis vectors, and the explicit formula for the transformation is T(x, y) = [ax + by, cx + dy].
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This table represents a relationship between x and y, where x is the independent variable.
x 20 40 60 80 100
y 10 20 30 40 50
Which equation represents the relationship between x and y?
Responses
y = x + 10
y, = , x, + 10
y=12x
y equals one half x
y=x−10
y equals x minus 10
y = 2x
Answer:
its 21
Step-by-step explanation:
Ill mark brainliest pl pls help me
Answer:
1. e
2. c
Step-by-step explanation:
1. e. table
The question displays a table that organizes the data
2. c
When you compare the x and y values of a relationship, in this case the b and t variables, you use a ratio.
You invested a total of $60,000 in 2 funds earning 8.5% and 10% simple interest. During 1 year, the 2 funds earned a total of $5400 in interest. How much did you invest in each fund? amount at 8.5% $ amount at 10% $
The amount invested in the fund earning 8.5% is $40,000 whereas $20,000 was invested in the fund earning 10%
What is the return on each fund?
The return on each fund is determined as the amount invested multiplied by the interest rate on the fund
;Let X be the amount invested at 8.5%
Interest=8.5%*X=0.085X
The interest of the fund invested at 10%=($60,000-X)*10%
The interest of the fund invested at 10%=$6000-0.10X
Total interest=0.085X+6000-0.10X
Total interest earned during year 1=$5,400
5400=0.085X+6000-0.10X
5400=6000-0.015X
0.015X=6000-5400
0.015X=600
X=600/0.015
X=$40,000(amount invested at 8.5%)
amount invested at 10%=$60,000-$40,000
amount invested at 10%=$20,000
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Can someone help on number 32 please
Answer:
\(b. -2.5, -\frac{5}{4}, -\frac{2}{3}, 0.75, \sqrt{3}, 1.9, I-4I\)
Step-by-step explanation:
-5/4 is smaller than -2/3 since on the negative sides, any number who is larger is smaller.
0.75 is smaller than the square root of 3 since that equals to 1.7.
1.9 is smaller than the absolute value of -4 since that equals to 4.
Answer:
B) -2.5, -5/4, -2/3, 0.75, √3 (square root of 3), 1.9, |-4|
Step-by-step explanation:
The square root of 3 is ≈ 1.7, -5/4=-1.25, -2/3=-0.66..., and you have |-4|(absolute value of four)=4. So if you just transition values that are squared, fractions, etc to numbers that are easier to use, it makes it much easier to list them from least to greatest or greatest to least. You would list the negatives first, then positives. I hope this helps you and good luck with your assignment.
Period
Write the slope-intercept form of the equation of each line. Also create a table of values that
displays 8 coordinate pairs.
A) y = 3x - 4
B) y=-3x - 4
C) y = 2x - 4
D) y=-x-4
Marsha deposited $5000 into a savings account 3years ago. The simple interest rate is 5%. How much money did Marsha earn in interest?
\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$5000\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=years\dotfill &3 \end{cases} \\\\\\ I = (5000)(0.05)(3) \implies I = 750\)
Please help me with edge question .
\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)
which of the following expressions is equivalent to -10?
a.-7 3
b.-3 - 7
c.3 - 7
d.7 - 3
The expression which is equivalent to -10 is the option b, -3 - 7.
Explanation:
We can use subtraction and addition of integers to get the value of the given expression. We can write the given expression as;
-3 - 7 = -10 (-3 - 7)
The addition of two negative integers will always give a negative integer. When we subtract a larger negative integer from a smaller negative integer, we will get a negative integer.
If we add -3 and -7 we will get -10. This makes the option b the correct answer.
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Whoever solves this will get BRAINLIEST answer!!! Please help me out!
Answer:
x+x+x=180
3x=180
x=180/3
x=60
Find the measure of A
A:46
B:90
C:134
D:88
Answer:
Option d = 88
Step-by-step explanation:
Angle c = 46 degrees
46 + 46 = 92
180 - 92 = 88