Answer:
24
Step-by-step explanation:
i showed my work
Answer:
Here we will show you how to calculate 6 divided by 1/4. We will give you the answer in fraction form and in decimal form.
Here is 6 divided by 1/4 displayed mathematically in colors:
6
÷
1
4
The numbers in 6 divided by 1/4 are labeled below:
6 = whole number
1 = numerator
4 = denominator
To make it a fraction form answer, you multiply the whole number by the denominator and make the result the new numerator. The old numerator becomes the new denominator:
6 x 4
1
=
24
1
Thus, the answer to 6 divided by 1/4 in fraction form is:
24
1
To make the answer to 6 divided by 1/4 in decimal form, you simply divide the numerator by the denominator from the fraction answer above:
24 / 1 = 24
The answer is rounded to the nearest two decimal points if necessary.
24/1 is an improper fraction and should be written as 24.
Step-by-step explanation:
Use a geometric tool to draw a circle. Draw and measure a radius and a diameter of the circle .
Answer:
Attached is an example of a circle with a radius of 5 and a diameter of 10.
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Identify the simplest polynomial function that has the given zeros
-2,4,5
P(x) = x³ - 7x² + 2x + 40
P(x) = x³ + 7x² - 2x - 40
P(x) = x³ - 7x² + 2x - 40
P(x) =x^3+7x² - 2x + 40
Answer:
is correct
x^3 -7x^2+2x +40
multiply the constants of the factors (each factor has opposite sign of the zero)
(x+2)(x-4)(x-5) 2(-4)(-5) = 40, that eliminates all but c) and d)
(x+2)(x-4)(x-5) = (x^2-2x-8)(x-5) by using FOIL on the 1st two factors
then (-8)(-5) = +40, eliminating a) and b), leaving only c) and d)
-5 times -2x = 10x, x times -8 = -8x. 10x-8x = 2x which c) has but d) doesn't.
Step-by-step explanation:
Southside High School found that 80% of last year's sold-out plays occurred
during weekend performances. Based on this information, the drama teacher
decided to add another performance time on Saturday. This decision is a
result of
OA. describing data
OB. making an inference
OC. creating involvement
D. collecting data
Answer:
B. making an inference.
Step-by-step explanation:
The drama teacher's decision to add another performance time on Saturday is a result of making an inference based on the information that 80% of last year's sold-out plays occurred during weekend performances. By observing this pattern, the drama teacher infers that adding another performance on Saturday will likely attract a larger audience and increase the chances of having a sold-out show.
A CBS News poll involved a nationwide random sample of 651 adults, asked those adults about their party affiliation (Democrat, Republican or none) and their opinion of how the US economy was changing ("getting better," "getting worse" or "about the same"). The results are shown in the table below.
better same worse
Republican 38 104 44
Democrat 12 87 137
none 21 90 118
If we randomly select one of the adults who participated in this study, compute: (round to four decimal places)
a.P(Republican) =
b.P(better) =
c.P(better|Republican) =
d.P(Republican|better) =
e.P(Republican and better) =
Answer:
\(P(Republican) = 0.2857\)
\(P(Better) = 0.1091\)
\(P(better | Republican) = 0.2043\)
\(P(Republican | better) = 0.5352\)
\(P(Republican\ n\ Better) = 0.0584\)
Step-by-step explanation:
Given
---------------------better same worse
Republican ------38 -----104 --- 44
Democrat --------12 -------87 --- 137
None --------------21 --------90 ----118
\(Total = 651\)
Solving (a): P(Republican)
Here, we consider the "republican" row only;
\(n(Republican) = 38 + 104 + 44\)
\(n(Republican) = 186\)
\(P(Republican) = \frac{n(Republican)}{Total}\)
\(P(Republican) = \frac{186}{651}\)
\(P(Republican) = 0.2857\)
Solving (b): P(Better)
Here, we consider the "better" column only
\(n(Better) = 38 + 12+21\)
\(n(Better) = 71\)
\(P(Better) = \frac{n(Better)}{Total}\)
\(P(Better) = \frac{71}{651}\)
\(P(Better) = 0.1091\)
Solving (c): P(better | Republican)
This is calculated as:
\(P(better | Republican) = \frac{P(better\ n\ Republican)}{P(Republican)}\)
For, P(better n Republican), we consider the cell where "Better" and "Republican" intersects;
i.e. \(n(Better\ n\ Republican) = 38\)
\(P(Better\ n\ Republican) = \frac{38}{651}\)
So:
\(P(better | Republican) = \frac{P(better\ n\ Republican)}{P(Republican)}\)
\(P(better | Republican) = \frac{38}{651}/\frac{186}{651}\)
\(P(better | Republican) = \frac{38}{651} * \frac{651}{186}\)
\(P(better | Republican) = \frac{38}{186}\)
\(P(better | Republican) = 0.2043\)
Solving (d): P(Republican | better)
This is calculated as:
\(P(Republican | better) = \frac{P(Republican\ n\ better)}{P(better)}\)
\(P(Republican\ n\ Better) =P(Better\ n\ Republican) = \frac{38}{651}\)
So:
\(P(Republican | better) = \frac{P(Republican\ n\ better)}{P(better)}\)
\(P(Republican | better) = \frac{38}{651}/\frac{71}{651}\)
\(P(Republican | better) = \frac{38}{651} * \frac{651}{71}\)
\(P(Republican | better) = \frac{38}{71}\)
\(P(Republican | better) = 0.5352\)
Solving (e): P(Republican and better)
\(P(Republican\ n\ Better) =P(Better\ n\ Republican) = \frac{38}{651}\)
\(P(Republican\ n\ Better) = 0.0584\)
Which of the following are disadvantages of the mode?
For many sets of data there are multiple modes.
The mode is affected by extremely large and small values.
For many sets of data there is no mode.
the mode can only be computed for interval-level data or higher
The disadvantages of the mode are: For many sets of data there is no mode.
The mode is a measure of central tendency that represents the most frequently occurring value in a dataset.
However, one of the disadvantages of the mode is that for many sets of data, there may not be a distinct mode. In such cases, the data may have a uniform distribution where all values occur with equal frequency, or it may have multiple modes with similar frequencies.
The mode is not affected by extremely large or small values. It only considers the frequency of values and not their magnitude. Therefore, extreme values do not influence the mode.
The statement that the mode can only be computed for interval-level data or higher is incorrect. The mode can be computed for any type of data, including nominal, ordinal, interval, and ratio data. It is applicable to categorical as well as numerical data.
The main disadvantage of the mode is that for many datasets, there may not be a distinct mode.
The correct option is: For many sets of data there is no mode.
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Why is the interest rate of a loan one of the most important things to consider when shopping around for loans?
a.
The interest rate should be ignored, because there’s nothing a consumer can do to change it.
b.
The interest rate is essentially how long you have to pay off your loan, and the shorter the better.
c.
The interest rate can drastically change the total amount paid to the lender, in the case of mortgages, up to thousands of dollars.
d.
The interest rate does not change, even between banks, so choosing the right time to borrow is essential.
Answer:
C
Step-by-step explanation:
trust me c is the correct answer
The point (0, –4) is located
I'm going to assume you're asking where the point is located on a coordinate plane.
We have x = 0 and y = -4.
So, we start at (0, 0) and move down 4 units.
Best of Luck!
Fran can type 297 words in 5.5 minutes. What is her typing speed in words per minute?
Answer:
54 word per minute
Step-by-step explanation:
The graph shows the distance (d) in miles that an animal runs at a constant speed in (t) minutes. Which equation represents this situation.
Select the correct answer.
Read the sentence from paragraph 1.
One other thing I probably should tell you, because if I don't, they'll probably be saying this about me, too.
What kind of fallacious reasoning is used in the sentence?
A.
slippery slope
B.
hasty generalization
C.
ad hominem
D.
loaded language
Answer:
A.
slippery slope
Step-by-step explanation:
Just did it
This sentence does not contain any kind of fallacious reasoning. It is simply a statement indicating that the speaker is about to provide some important information to avoid any misunderstandings or false rumors about them.
What is fallacious reasoning?Arguments or statements that appear to be logically sound but are in fact defective or untrue are referred to as fallacious reasoning. It happens when an argument's justification is founded on false premises, scant evidence, or fallacious reasoning.
The given phrase is:
One more thing, which I should definitely mention because if I don't, they'll probably be saying the same thing about me.
There aren't any glaring instances of erroneous thinking in this sentence. Instead, it's a declaration made by the speaker in order to preemptively address any prospective criticism or rumors that might be circulated about them by others.
On the other hand, illogical or incorrect ideas or cognitive processes are referred to as fallacious reasoning.
A few typical examples include ad hominem attacks, where an individual's character or personal traits are attacked instead of their argument, slippery slope arguments, where a chain reaction of events is assumed to occur based on a single initial event, hasty generalizations, where a conclusion is drawn based on insufficient evidence and loaded language, where emotionally charged language is used to manipulate an audience's response.
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100 Points! Geometry question. Photo attached. Please show as much work as possible. Thank you!
Answer:
100°
Step-by-step explanation:
tThe sum of all arc measures that make up that circle is 360 degrees.
QS + RQ + RS = 360
QS = 360 - 120 - 140 = 100
An arc angle is the degree measurement of that angle inside the circle, opposite the arc
m∠R = arc QS = 100°
Answer:
∠ R = 50°
Step-by-step explanation:
the inscribed angle R is half the measure of its intercepted arc QS
the sum of the arcs on a circle is 360° , that is
RQ + QS + SR = 360°
120° + QS + 140° = 360°
QS + 260° = 360° ( subtract 260° from both sides )
QS = 100°
Then
∠ R = \(\frac{1}{2}\) × 100° = 50°
Given that a+b = 10 and a square - b square = 40 find the value of a-b
Answer:
the value of a - b is 4.
Step-by-step explanation:
We have been given the following two equations:
a + b = 10 ------------(1)
a² - b² = 40 -------(2)
We can factor the left-hand side of equation (2) using the difference of squares identity:
(a + b)(a - b) = 40
Substituting equation (1) into this equation, we get:
10(a - b) = 40
Dividing both sides by 10, we get:
a - b = 4
Therefore, the value of a - b is 4.
Step-by-step explanation:
if I understand this correctly :
a + b = 10
a² - b² = 40
(a² - b²) = (a + b)(a - b) = 40
10(a - b) = 40
(a - b) = 4
suppose we want to choose 6 letters without replacemrnt from 11 letters
There are a total of 332640 ways to choose 6 letters from 11 letters without replacement
How to determine the number of ways to choose the letters?From the question, we have the following characters that can be used in our computation:
Letters to select = 6
Available letters = 11
From the question, we understand that the selection is without replacement
This means that we make use of permutation
The number of ways of selection could be drawn is calculated using the following permutation formula
Total = ⁿPᵣ
Where
n = 11 and r = 6
Substitute the known values in the above equation
Total = ¹¹P₆
Apply the permutation formula
ⁿPᵣ = n!/(n - r)!
So, we have
Total = 11!/5!
Evaluate
Total = 332640
Hence, the number of ways to choose the letters is 332640 ways
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Choose the correct graph of the function
A local car dealer has 150 vehicles on the lot. 55% of the vehicles are trucks, 15% are minivans, and the rest of the cars are sedans. How many of the cars are sedans?
Answer:
45 Cars
Step-by-step explanation:
55% + 15% = 70% which means 30% are Sedans.
30%= .3
.3 x 150 cars = 45 Cars
Can u please help me with 3&4 I’m giving 20 point please help me
Answer:
Step-by-step explanation:
Find the area of the rectangle on this centimetre grid.
Answer:
A = 35 cm²
Step-by-step explanation:
the area (A) of a rectangle is calculated as
A = length × width
by counting the squares on the sides
length = 7 cm and width = 5 cm , then
A = 7 × 5 = 35 cm²
one period of a sine function or cosine function is called one amplitude incorrect: your answer is incorrect. of the sine curve or cosine curve.
The correct answer is cycle. A sine or a cosine function represent periodic functions where the value of the function is repeats after a definite interval.
What do you mean by periodic function?
A periodic function can be defined as:
A function returning to the same value at regular intervals. Though periodic motion and oscillatory motion sound the same, not all periodic motions will be oscillatory motion.
Image result for periodic function
If a function has a repeating pattern like sine or cosine, it is called a periodic function. The period is the length of the smallest interval that contains exactly one copy of the repeating pattern.
A motion that repeats itself at regular intervals is termed periodic motion. 1. A motion that does not repeat itself at regular intervals is termed non-periodic motion. 2. After a certain period of time, an object exhibiting periodic motion returns to its original position.
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tantheta+sintheta/tantheta-sintheta=sectheta+1/sectheta-1
Step-by-step explanation:
sin(theta)÷costheta+sintheta/sintheta÷COStheta- sintheta
sintheta+sintheta×costheta/sintheta-sintheta-costheta
sintheta(1+Costheta)/sintheta(1-costheta)
1+1÷Sectheta/1-1÷Sectheta
sectheta+1÷sectheta/sectheta-1÷sectheta
sectheta+1/sectheta-1
Answer:
TO PROVE :-
\(\frac{\tan \theta + \sin \theta}{\tan \theta - \sin \theta} = \frac{\sec \theta + 1}{\sec \theta - 1}\)SOLUTION :-
First of all , simplify L.H.S.
\(\frac{\tan \theta + \sin \theta}{\tan \theta - \sin \theta}\)
Use \(\tan \theta = \frac{\sin \theta}{\cos \theta}\) in place of tanθ.\(=> \frac{\frac{\sin \theta}{\cos \theta} + \sin \theta }{\frac{\sin \theta}{\cos \theta} - \sin \theta}\)
Take sinθ common from both numerator & denominator.\(=> \frac{\sin \theta (\frac{1}{\cos \theta} + 1) }{\sin \theta (\frac{1}{\cos \theta}- 1) }\)
Cancel the sinθ from both numerator & denominator.\(=> \frac{\frac{1}{\cos \theta} +1}{\frac{1}{\cos \theta} -1}\)
Use \(\sec \theta = \frac{1}{\cos \theta}\)\(=> \frac{\sec \theta + 1}{\sec \theta - 1}\)
∴ L.H.S. = R.H.S
Find the area of this circle. Use 3 for .
A = ar2
8 in
[?] in?
please help
Answer:
Step-by-step explanation:
The Letter pi (π) = 3.14
The radius (r) = the diameter / 2
The diameter = 8
the radius (r)= d/2 = 8/2 = 4
The Area = 3.14 * 4*4
But they tell you to use 3 and not 3.14.
So the area = 3 * 4 * 4
The area = 48
By the way, if you are interested, the Bible uses 3 for π and not 3.14
11. The coordinate grid shows points P, Q, R, and S. All the coordinates for these points
are integers.
What is the value of the x-coordinate of point P?
Answer:
-6
Step-by-step explanation:
Answer: -6
Step-by-step explanation:
What is the equivalent ratio for 4
The equivalent ratios are 8: 6 and 12:9.
Equivalent ratios:Two ratios are equivalent if they represent the same proportion or relative size. To find an equivalent ratio, we can multiply both terms of the ratio by the same non-zero number. This doesn't change the condition between the two terms.
Here we have 4:3
To find equivalent ratios, we can multiply both terms by the same number.
Multiplying by 2
=> 4 × 2 : 3 × 2
=> 8 : 6
Multiplying by 3
=> 4 × 3 : 3 × 3
=> 12: 9
Therefore,
The equivalent ratios are 8: 6 and 12:9.
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Complete Question
What is the equivalent ratio for 4: 3
Use the given information to find the measure.
Answer:
AOC = 104° (total from A to C)
BOC = 60°
AOB = 104 - 60 = 44°
\(ac = 104 = ab + bc \\ 104 = 7x + 30 + 9x + 42 \\ 104 = 16x + 72 \\ 16x = 32 \\ x = 2\)
\(bc = 9x + 42 \\ = 9(2) + 42 = 60\)
Real estate ads suggest that 62% of homes for sale have garages 28% have swimming pools and 18% have both features. If a home for sale has a garage what’s the probability that it has a pool too?
Answer:
Step-by-step explanation:
The events are not independentd) The events are not mutually exclusiveStep-by-step explanation:Hi!Lets call: Gar = {homes with garage}Pool
someone please help me answer this
Answer:
32 kilometers
Step-by-step explanation:
65 - 33 = 32 kilometers
Hope this helps
Answer:
b = 56km is the answer.
Step-by-step explanation:
a (Northbound train) = 33km
b (Eastbound train) = ?
c (Distance between them) = 65km
According to the Pythagorean theorem,
a² + b² = c²
33² + b² = 65²
1089 + b² = 4225
b² = 4225 - 1089
b² = 3136
b = 56km
∴ the eastbound train has travelled 56km.
If line BG and CF are parallel,then the supplement of BIE = the supplement of GMD. Is this statement correct? Explain your answers
The supplement of BIE equals the supplement of GMD is a false assertion if lines BG and CF are parallel.
Describe the supplement angle.Angles with a supplementary sum are those whose sum is 180 degrees. For instance, the total of angle 130° and angle 50° is 180°, hence they are supplementary angles.
Lines BG and CF are parallel, as shown in the figure.
If BIE = X, then its supplement of BIE will be 180 - X;
similarly, if GMD = Y, then its supplement of GMD will be 180 - Y.
Since BG and CF are parallel, the supplements of BIE and GMD are interior angles on the same side ( as shown in figure)
and for parallel line the interior angle on the same side is 180
so 180 - X and 180 -Y there sum should be 180
They cannot be equal
line BG and CF are parallel, then the supplement of BIE = the supplement of GMD are not equal.
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Amadi is three times as old as Chima. The sum of their ages is 24
Answer:
Amadi: 20 years old
Chima : 4 years old
Two catalysts may be used in a batch chemical process. Twelve batches were prepared using catalyst 1, resulting in an average yield of 84 and a sample standard deviation of 3. Fifteen batches were prepared using catalyst 2, and they resulted in an average yield of 90 with a standard deviation of 2. Assume that yield measurements are approximately normally distributed with the same standard deviation.
(A) Is there evidence to support the claim that catalyst 2 produces higher mean yield than catalyst 1? Use alpha = 0.01.
(B) Find a 99% confidence interval on the difference in mean yields that can be used to test the claim in part (a). (e.g. 98.76).
Answer:
Step-by-step explanation:
From the given information:
Let assume:
\(\mu_1 =\) population mean for catalyst 1
\(\mu_2 =\) population mean for catalyst 2
Then:
Null hypothesis: \(\mu_1 \ge \mu_2\)
Alternative hypothesis: \(\mu_1 <\mu_2\)
\(\alpha= 0.01\)
By using MINITAB software to compute the 2 sample t-test, we have:
Two-Sample T_Test and CI
Sample N Mean StDev SE Mean
1 12 94.00 3.00 0.87
2 15 90.00 2.00 0.52
Difference = \(\mu_1(1)-\mu_2(2)\)
Estimate of difference: -6.00
99% upper bound for difference: -3.603
T-test of difference: 0 (vs <): T-value = -6.22
P.value = 0.000
DF = 25
Both use Pooled StDev = 2.4900
From above result
the test statistics = -6.00
p-value = 0.00
Decision Rule: To reject \(H_o\ \ if \ \ p \le \alpha\)
Conclusion: Provided that p-value is < ∝, we reject \(H_o\). Hence, there is sufficient evidence to support the given claim.
b) From the MINITAB;
The 99% C.I on the difference in the mean yields that can be applied to test the claim in part (a) is:
\(\mathbf{\mu_1 -\mu_2 \le -3.60}\)
Scores on a common final exam are normally distributed with mean 71 and standard deviation 9. Department policy is that the top 10% of students receive an A. The minimum exam score to be awarded an A is about:
Answer:
The minimum exam score to be awarded an A is about 8.52.
Step-by-step explanation:
Let X represent the scores on a common final exam.
It is provided that X follows a normal distribution with mean, μ = 71 and standard deviation, σ = 9.
It is provided that according to the department policy is that the top 10% of students receive an A.
That is, P (X > x) = 0.10.
⇒ P (X < x) = 0.90
⇒ P (Z < z) = 0.90
The corresponding z-score is:
z = 1.28
Compute the value of x as follows:
\(z=\frac{x-\mu}{\sigma}\\\\1.28=\frac{x-71}{9}\\\\x=71+(1.28\times 9)\\\\x=82.52\)
Thus, the minimum exam score to be awarded an A is about 8.52.
Which is the best example of selecting a systematic random sample?
Two distinct groups are formed from members of a population based on some characteristic, and a random
sample of 50 people is selected from each group.
Members of a population are divided into representative groups, and then every 3rd group is selected until a
sample of 100 people is formed.
Members of a population are listed in order of birthday, and every 5th person is selected until a sample of 100
people is formed.
The first 100 people to respond to a call for participants are selected.
Using it's concept, it is found that the best example of a systematic random sampling is given by:
Members of a population are listed in order of birthday, and every 5th person is selected until a sample of 100 people is formed.
How are samples classified?Samples may be classified as:
Convenient: Drawn from a conveniently available pool.Random: All the options into a hat and drawn some of them.Systematic: Every kth element is taken. Cluster: Divides population into groups, called clusters, and each element in the cluster is surveyed.Stratified: Also divides the population into groups. Then, a equal proportion of each group is surveyed.In this problem, we want a systematic sample, that is, every kth person(not group), hence the correct option is:
Members of a population are listed in order of birthday, and every 5th person is selected until a sample of 100 people is formed.
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Answer:
C. Members of a population are listed in order of birthday, and every 5th person is selected until a sample of 100 people is formed.
Step-by-step explanation: