a news article claims that 90% of college students believe that their online courses are as good as or superior to traditional face-to-face instruction. a statistics student disagrees with this statement and believes the true proportion of college students who believe that their online courses are as good as or superior to traditional face-to-face instruction is less than 90%. the student tests the hypotheses if the statistics student concludes that the true proportion of college students who believe that their online courses are as good as or superior to traditional face-to-face instruction is 90%, when in fact, the proportion is less than 90%, the statistics student has made which type of error?

Answer:

10

Step-by-step explanation:

We cannot use the Pythagorean Theorem here because we only have one side length. However, we can use the fact that \(\frac{a}{sin(A)} =\frac{b}{sin(B)}=\frac{c}{sin(C)}\)

I decided to make the corner with the 60° as ∠A, the corner with the 30° as ∠B, and the corner with the right angle as ∠C. While then making side a as the unmarked side, side b as the side with 5, and the hypotenuse p as side c.

Since we do not need to solve for a in this equation to solve for p, we can simply use the sides and numbers we are given.

Manipulating two of our equations, preferably the equations with the variables b and c, we can get \(\frac{b}{sin(B)}=\frac{c}{sin(C)}\) and solving for c, which is p in this case, will give us \(c=\frac{bsin(C)}{sin(B)}\)

Plugging in the numbers we have gives us \(c=\frac{5sin(90)}{sin(30)}\) = 10 mi

Answer:

HARAMBE KNOWS THE ANSWER!!!!!!!!!!!!!!1111Write an essay of at least 250 words that summarizes the main points of the essay by Langston Hughes. Use the information you gathered from your literary analysis to help with your summary. Be sure to create an outline and structure your essay with a thesis statement and supporting details..

Step-by-step explanation:

Answer:

this property is commutative property

Answer:

Commutative

Step-by-step explanation:

Where the above geometrical conditions exist:

i) the value of ∠z = 120° (Option B)
ii) The value of x = 60° (Option A)

iii) The measure of ∠p + ∠q = 180° (Option C)

iv) The angle that corresponds to ∠a is ∠q (option D)

v)  The angles q and z are co-interior and are therefore supplementary angles.

vi) ∠p + ∠q + ∠a + ∠z) / 6  = 60°

i) given that,

PQ || MN .

XY is a transversal.

∠XBN = 60° .

so,

→ ∠z + ∠XBN = 180° (Angles on a straight line are supplementary.)

→ ∠z = 180° - 60°

→ ∠z = 120°

Thus, Option B is the correct answer.

ii)

→ ∠x = ∠XBN (corresponding angles.) Thus,

→ ∠x = 60°

iii)  ∠p + ∠q = 180° (XB is a straight line, so angles are supplementary.) which means, they sum up to 180°

iv) The angle that corresponds to ∠a = ∠q

Angles that correspond are congruent. Corresponding pairs are all angles that have the same location in relation to parallel lines and transversals.

v) The angles q and z are co-interior and are therefore supplementary angles. When two parallel lines are crossed by a transversal, co-interior angles form.

vi) (∠p + ∠q + ∠a + ∠z) / 6 = (180° + 180°)/6 = 360°/6 = 60°

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Full Question:
Although part of your question is missing, you might be referring to this full question: See attached images.

The correct option is C

The distribution is Approximately Normal

The sample size is 150, this is large.

The standard deviation is finite .

We say that the distribution is Approximately Normal

Using a system of equations, it is found that:

--------------------------

In a triangle, the sum of the interior angles is of 180º, thus:

\(x + y + z = 180\)

The second angle of the triangle  has a measure equal to the sum of two times the other two angles, then:

\(y = 2(x + z)\)

\(x + z = 0.5y\)

Replacing into the first equation, we find the second angle:

\(x + y + z = 180\)

\(0.5y + y = 180\)

\(1.5y = 180\)

\(y = \frac{180}{1.5}\)

\(y = 120\)

The measure of the second angle is of 120º.

Now, working to find the measures of the first and of the third angles:

\(x + z = 0.5y \rightarrow x + z = 60 \rightarrow x = 60 - z\)

The third  angle has a measure equal to ten less than the first angle, then:

\(z = x - 10\)

Since \(x = 60 - z\)

\(z = 60 - z - 10\)

\(2z = 50\)

\(z = \frac{50}{2}\)

\(z = 25\)

And

\(x = 60 - z = 60 - 25 = 35\)

The measure of the first angle is of 35º.

The measure of the third angle is of 25º.

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Answer:

The slope of the line passing through the points (-3,3) and (5,9) is 3/4

3/2 is the second one

1 ) y = - 1 / 3 x + 2

2 ) y = 0x - 7

To find the slope of the line you can use the equation.

m = y2 - y1 / x2 -x1 = tan(Ф)

Answer:

1 ) y = - 1 / 3 x + 2

2 ) y = 0x - 7

Step-by-step explanation:

To find the slope of the line you can use the equation...

m = y2 - y1 / x2 -x1 = tan(Ф)

Hope this helps! :)

The measure of the length r (SQ) of the triangle ΔQRS will be 2.40 inches.

The Law of Sines The law of trigonometric functions, sine law, sine formula, or sinusoidal rule is a trigonometric equation that relates the sizes of any triangle's edges to the sines of its orientations.

The sine law in the triangle ΔQRS is given as,

QR / sin S = SQ / sin R = SR / sin Q

The third angle of the triangle ΔQRS is given as,

∠Q + ∠R + ∠S = 180°

∠R + 30° + 129° = 180°

∠R = 21°

Then the measure of the length r (SQ) will be calculated as,

5.2 / sin 129° = SQ / sin 21°

SQ = 2.40 inches

The measure of the length r (SQ) of the triangle ΔQRS will be 2.40 inches.

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Answer:

Y=0/0

Step-by-step explanation: since their is no fall or rise in the slope it is 0

Answer:

trumpeter swans = t = 41

sand-hill cranes = s = 26

chickadees = c = 164

dusky grouses = d = 82

Step-by-step explanation:

Total birds = 313

Let

trumpeter swans = t

sand-hill cranes = s

chickadees = c

dusky grouses = d

t = 15 + s

c = 2d

d = 2t

t + s + c + d = 313

(15+s) + s + 2d + d = 313

15 + s + s + 2(2t) + 2t = 313

15 + 2s + 4t + 2(15+s) = 313

15 + 2s + 4(15 + s) + 30 + 2s = 313

15 + 2s + 60 + 4s + 30 + 2s = 313

105 + 8s = 313

8s = 313 - 105

8s = 208

s = 208 / 8

= 26

s = 26

t = 15 + s

= 15 + 26

= 41

d = 2t

d = 2(41)

= 82

c = 2d

c = 2(82)

= 164

trumpeter swans = t = 41

sand-hill cranes = s = 26

chickadees = c = 164

dusky grouses = d = 82

The answer is ,  the Taylor series (centered at c=0) for the function f(x) = e^(4x) is given by:

\($$\large f(x) = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n$$\)

The Taylor series expansion is a way to represent a function as an infinite sum of terms that depend on the function's derivatives.

The Taylor series of a function f(x) centered at c is given by the formula:

\(\large f(x) = \sum_{n=0}^{\infty} \frac{f^{(n)}(c)}{n!}(x-c)^n\)

Using the definition of Taylor series to find the Taylor series (centered at c=0) for the function f(x) = e^(4x), we have:

\(\large e^{4x} = \sum_{n=0}^{\infty} \frac{e^{4(0)}}{n!}(x-0)^n\)

\(\large e^{4x} = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n\)

Therefore, the Taylor series (centered at c=0) for the function f(x) = e^(4x) is given by:

\($$\large f(x) = \sum_{n=0}^{\infty} \frac{4^n}{n!}x^n$$\)

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The Taylor series for f(x) = e^(4x) centered at c = 0 is:

f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...

To find the Taylor series for the function f(x) = e^(4x) centered at c = 0, we can use the definition of the Taylor series. The general formula for the Taylor series expansion of a function f(x) centered at c is given by:

f(x) = f(c) + f'(c)(x - c) + f''(c)(x - c)^2/2! + f'''(c)(x - c)^3/3! + ...

First, let's find the derivatives of f(x) = e^(4x):

f'(x) = d/dx(e^(4x)) = 4e^(4x)

f''(x) = d^2/dx^2(e^(4x)) = 16e^(4x)

f'''(x) = d^3/dx^3(e^(4x)) = 64e^(4x)

Now, let's evaluate these derivatives at x = c = 0:

f(0) = e^(4*0) = e^0 = 1

f'(0) = 4e^(4*0) = 4e^0 = 4

f''(0) = 16e^(4*0) = 16e^0 = 16

f'''(0) = 64e^(4*0) = 64e^0 = 64

Now we can write the Taylor series expansion:

f(x) = f(0) + f'(0)(x - 0) + f''(0)(x - 0)^2/2! + f'''(0)(x - 0)^3/3! + ...

Substituting the values we found:

f(x) = 1 + 4x + 16x^2/2! + 64x^3/3! + ...

Simplifying the terms:

f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...

Therefore, the Taylor series for f(x) = e^(4x) centered at c = 0 is:

f(x) = 1 + 4x + 8x^2 + 32x^3/3 + ...

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Answer: 6.25%

Explanation

Given

• 52 playing cards

• both cards are a diamond

Procedure

There are 13 cards of diamonds in a standard deck of cards. Thus our probability of getting one diamond is:

However, they are asking for two cards. Then:

Expressing as a whole percent:

Answer:

D. 14

Step-by-step explanation:

im just different

As per Mental hypothesis, the statistical inference procedures that we should use Chi-square test for goodness of fit.

Hypothesis

In probability, an idea or explanation that you then test through study and experimentation is known as hypothesis.

Given,

Here we have given that, an experiment involving peas results in 580 offspring, 152 of which peas have yellow pods. Mendel claimed that the proportion of peas with yellow pods should be 25%. we want to know if these data are consistent with Mendel's hypothesis.

And we need to find in which statistical inference procedures should we use.

According to the definition of Chi-square test for goodness of fit, the claim is that the proportion of peas with yellow pods should be 25%. And then here the researcher wants to check that the experimental and observed counts of yellow offspring peas shows significant difference or not.

So, the statistical procedure used to study this case is Chi-square test for goodness of fit . Hence, option (1) is correct.

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Answer:

if no initial high im guessing 4.8 weeks

Step-by-step explanation:

4.8 divied by .8 = 6

Answer:

7 week 3 days and 12 hour

Step-by-step explanation:

x is the required week and to calculat it

1st for 1 week= o.8 inch

x = 6 inch

2nd u solve it after u solve it u get 7.5 but week dosen't said by decimals so u will multiply 0.5 by days of the week which is 7 .

3rd u will get 3.5 as we said before for days we can't use decimals so yo will multiply 0.5 by hour which 24 then u will get 12 . so the answer is 7 week 3 days and 12 hour .

option a-0.2816. To find the probability that Judy will answer exactly 3 questions correctly, we can use the binomial probability formula. In this case, the number of trials is 10 (since there are 10 questions), the probability of success is 1/4 (since there is only one correct answer out of 4 possible choices), and we want to find the probability of getting exactly 3 successes.

The binomial probability formula is:
P(X=k) = (n choose k) * p^k * (1-p)^(n-k)

Where:
- P(X=k) is the probability of getting exactly k successes
- (n choose k) represents the number of ways to choose k items out of n items
- p is the probability of success on a single trial
- k is the number of successes
- n is the number of trials

Using this formula, we can calculate the probability as follows:

P(X=3) = (10 choose 3) * (1/4)^3 * (3/4)^(10-3)

(10 choose 3) = 10! / (3! * (10-3)!)
= 10! / (3! * 7!)
= (10 * 9 * 8) / (3 * 2 * 1)
= 120

Now we can substitute the values into the formula:

P(X=3) = 120 * (1/4)^3 * (3/4)^(10-3)
= 120 * (1/64) * (3/4)^7
= 120 * (1/64) * (2187/16384)
= 0.2816

Therefore, the probability that Judy will answer exactly 3 questions correctly is 0.2816.

The correct answer is option a-0.2816.

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The Wald test is a statistical test that can be used to test the significance of a group of coefficients in a multiple regression model.

The test statistic is calculated as the ratio of the estimated coefficient to its standard error. If the test statistic is significant, then the null hypothesis that the coefficient is equal to zero can be rejected.

Suppose we have a multiple regression model with three independent variables: age, gender, and education. We want to test the hypothesis that the coefficients for age and education are both equal to zero. The Wald test statistic would be calculated as follows:

Test statistic = (Estimated coefficient for age) / (Standard error of estimated coefficient for age) + (Estimated coefficient for education) / (Standard error of estimated coefficient for education)

If the test statistic is significant, then we can reject the null hypothesis that the coefficients for age and education are both equal to zero. This would mean that there is evidence that age and education are both associated with the dependent variable.

The Wald test is a powerful tool that can be used to test the significance of a group of coefficients in a multiple regression model. However, it is important to note that the test statistic is only valid if the assumptions of the multiple regression model are met. If the assumptions are not met, then the p-value of the Wald test may be inaccurate.

Here are some of the assumptions of the multiple regression model:

* The independent variables are independent of each other.

* The dependent variable is normally distributed.

* The errors are normally distributed.

* The errors have constant variance.

If any of these assumptions are not met, then the Wald test may not be accurate.

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Answer:

10ft × 7ft = 70sq ft

Step-by-step explanation:

The width of the Bed is = The width of the study corner = 10ft

Answer:

48 cubic feet

Step-by-step explanation:

Answer:

The answer is 48ft

Step-by-step explanation:

Hope this helps

Answer:

Rank Topic Problem Formatted Problem

1 Factor x^2‑4 x2−4x2‑4

2 Factor 4x^2+20x+16 4x2+20x+164x2+20x+16

3 Graph y=‑x^2 y=−x2y=‑x2

Step-by-step explanation:

Answer:

4. refusal

Step-by-step explanation:

since defiance means not willing to cooperate

Answer:

refusal

Step-by-step explanation:

Defiance is the act of resistance against something. Confusion, fear, and need do not really relate to resisting something. The only answer that seems closest to the meaning of defiance (going against something) is refusal which is also not wanting to do something.

The estimated number of bacteria present in the culture after 5 hours as per exponential growth is equal to 5,240.

Initial population size (N₀) = 500 bacteria

Population size after 1 hour (N) = 800 bacteria

let us consider,

N₀ is the initial population size,

N is the population size at a given time,

k is the growth rate constant,

t is the time in hours,

e is the base of the natural logarithm (approximately 2.71828).

To determine the number of bacteria present in the culture after 5 hours,

Use the exponential growth formula for uninhibited growth,

N = N₀ × \(e^{(kt)\)

To find the growth rate constant (k), rearrange the formula as follows,

⇒k = ln(N / N₀) / t

⇒k = ln(800 / 500) / 1

⇒k = ln(1.6)

Using a calculator, we find that k ≈ 0.470

Now, use the growth formula to calculate the population size after 5 hours,

N = N₀ × \(e^{(kt)\)

N = 500 ×\(e^{(0.470 \times 5)\)

N = 500 × \(e^{2.35\)

Using a calculator, we find that \(e^{2.35\) ≈ 10.48

⇒N ≈ 500 × 10.48

⇒N ≈ 5240

Therefore, it is estimated that there will be approximately 5,240 bacteria present in the culture after 5 hours using exponential growth .

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Answer: 14.4 h

The speed is : \(v=\frac{d}{t} =\frac{252}{13} =19.46\) \(miles/h\\\)

The time it takes to travel 279 miles :

\(t'=\frac{d}{v} =\frac{279}{19.46} =14.4 hours\)

The angle between the vectors can be found using the dot product. The formula is θ= |A| =√(x12 + y12 + z12) The angle between the vectors -2i + 3j + k and i + 2j - 4k is approximately 137.8 degrees.

v1 • v2 = (-2i + 3j + k) • (i + 2j - 4k)

= -2 - 6 + 1 = -7

|v1| = \(\sqrt{((-2)^2 + 3^2 + 1^2)}\)

=\(\sqrt{(4 + 9 + 1)}\)

=\(\sqrt{14}\)

|v2| = \(\sqrt{((1)^2 + 2^2 + (-4)^2)}\)

= \(\sqrt{(1 + 4 + 16) }\)

= (\(\sqrt{21}\)

θ= |A| (-7/\(\sqrt{14}\)\(\sqrt{21}\))

=  |A| (-7/21*14)

=  |A|(-7/294)

= 137.8 degrees

The angle between two vectors can be found using the dot product formula. This formula isθ= |A| =√(x12 + y12 + z12). In the case of the vectors -2i + 3j + k and i + 2j - 4k, this formula can be used to find the angle between them. The dot product of the two vectors is -2 - 6 + 1 = -7. The magnitude of the first vector, |v1|, can be found using the Pythagorean theorem, which is

\(\sqrt{((-2)^2 + 3^2 + 1^2)}\)

= \(\sqrt{(4 + 9 + 1)}\)

= \(\sqrt{14}\).

The magnitude of the second vector, |v2|, can be found using the Pythagorean theorem, which is

\(\sqrt{((1)^2 + 2^2 + (-4)^2)}\)

= \(\sqrt{(1 + 4 + 16)}\)

= \(\sqrt{21}\)

Once the dot product and magnitudes are known, the angle between the two vectors can be found using the formula .Therefore, the angle between the two vectors is approximately 137.8 degrees.

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The diver's velocity during the first 2 sec of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.

Given data: Initial velocity, u = 0 ft/sec

Acceleration, a = g = 32.2 ft/sec²

The maximum rate of fall, vmax = 80 mph

Time, t = 2 seconds

Air resistance constant, Ar = 0.2

We are supposed to determine the sky diver's velocity during the first 2 seconds of fall using the modified Euler method.

The governing equation for the velocity of the skydiver is given by the following:

ma = -m * g + k * v²

where, m = mass of the skydive

r, g = acceleration due to gravity, k = air resistance constant, and v = velocity of the skydiver.

The equation can be written as,

v' = -g + (k / m) * v²

Here, v' = dv/dt = acceleration

Hence, the modified Euler's formula for the velocity can be written as

v1 = v0 + h * v'0.5 * (v'0 + v'1)

where, v0 = 0 ft/sec, h = 2 sec, and v'0 = -g + (k / m) * v0² = -g = -32.2 ft/sec²

As the initial velocity of the skydiver is zero, we can write

v1 = 0 + 2 * (-32.2 + (0.2 / 68.956) * 0²)0.5 * (-32.2 + (-32.2 + (0.2 / 68.956) * 0.5² * (-32.2 + (-32.2 + (0.2 / 68.956) * 0²)))

v1 = 62.732 mph

Therefore, the skydiver's velocity during the first 2 seconds of fall using the modified Euler method with Ar= 0.2 is 62.732 mph.

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Answer:

\(y=4x-6\)

Step-by-step explanation:

Okay, to do this we must understand what parallel means.

parallel means that that one line will NEVER touch the other. In order for this to happen they must be increasing (or decreasing) by the SAME rate. I.e the slope of your line must be the same as the lin in question thus our equation looks like,

\(y=4x+c\).

Now lets find \(c\).

To do this, plug the point (3,6) into the equation

6=4(3)+C

6=12+C

-6=C

Thus now that we know C, our equaiton is

\(y=4x-6\)

Answer:

y = 4 x - 6

Step-by-step explanation:

We have to know that,

If two lines are parallel the slopes of the two lines are equal but not the y - intercept.

In the equation,

y = m x + c

m ⇒ slope

c ⇒ y - intercept.

According to the question,

the equation they have given is,

y = 4x - 7

We have already find the slope of the new line.

That is,

m = slope = 4 (because the 2 lines are parallel)

Now we have to find y - intercept.

Let us find now.

( 3 , 6 ) ⇔ ( x , y )

y = m x + c

6 = 4 × 3 + c

6 = 12 + c

6 - 12 = c

-6 = c

There fore, the equation of the new line is,

y = m x + c

y = 4 x - 6

Hope this helps you :-)

Let me know if you have any other questions :-)

Answer:

It is 1/8 ask your teacher to fix it because 3/4 divided by 6 is 1/8

Step-by-step explanation:

Using the definition of slope, the points (-2 , 6), (0 , 2), and (1 , 0) are collinear.

Three or more points are said to be collinear if they lie on a single straight line.

To determine whether the given points are collinear, use the definition of slope. The slope, m, determines the steepness of a line. It can be measured by the vertical distance from one point to another divided by the horizontal distance of the same points.

m = (y2 - y1)/(x2 - x1)

Getting the slope of each pair of points:

(-2 , 6) and (0 , 2)

m = (y2 - y1)/(x2 - x1)

m = (2 - 6)/(0 - -2)

m = -4/2

m = -2

(0 , 2), and (1 , 0)

m = (y2 - y1)/(x2 - x1)

m = (0 - 2)/(1 - 0)

m = -2/1

m = -2

(-2 , 6) and (1 , 0)

m = (y2 - y1)/(x2 - x1)

m = (0 - 6)/(1 - -2)

m = -6/3

m = -2

Since collinear points lies on the same line, the slope of any pair of points should be the same. Since the slopes of each pair of points is equal with each other, then they are collinear.

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Answer:

(0, \(\frac{5}{3}\) )

Step-by-step explanation:

3x + 6y = 10 → (1)

2x + 3y = 5 → (2)

multiplying (2) by - 2 and adding to (1) will eliminate y

- 4x - 6y = - 10 → (3)

add (1) and (3) term by term to eliminate y

- x + 0 = 0

- x = 0

x = 0

substitute x = 0 into either of the 2 equations and solve for x

substituting into (2)

2(0) + 3y = 5

3y = 5 ( divide both sides by 3 )

y = \(\frac{5}{3}\)

solution is (0, \(\frac{5}{3}\) )