What is the product of 7/9 and 1/4

Answer:

i think its 140m

Step-by-step explanation:

If researchers report that the results from their study were significant, p < .05, this means that we would expect the results to occur by chance less than 5 times out of 100.

When researchers report that the results from their study were significant, p < .05, it means that we would expect the results to occur by chance less than 5 times out of 100. This threshold is commonly used in statistical hypothesis testing.

In statistical hypothesis testing, the p-value represents the probability of obtaining results as extreme as the observed results, assuming that the null hypothesis is true. If the p-value is less than the predetermined significance level of .05 (or 5%), it is considered statistically significant. This means that the observed results are unlikely to have occurred by chance alone, and there is evidence to support the alternative hypothesis.

Therefore, option D, "We would expect the results to occur by chance less than 5 times out of 100," is the correct interpretation of reporting significant results with p < .05.

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Answer:

Sunshine has $19 left after spending $10.

Step-by-step explanation:

29 - 10 = x

Subract 10 from 29 to solve for x.

x = 19

Given :

A hostel of 500 boys has provisions for 4 days.

To Find :

If the provisions were continued for  20 days, how many students have gone out of the hostel.

Solution :

Let, number of students left after 20 days are x.

Now, provisions are given by :

\(\text{Provisions = Number of students}\times \text{Number of days}\)

Also, provisions remains same.

So, initial provision = final provision

\(500\times 4 = x \times 20\\\\x=100\)

Therefore, 100 students have gone out of the hostel.

Hence, this is the required solution.

(a) The differential equation that is satisfied by y is:

\(\frac{dy}{dt} = ky(1-y)\)

(b) To solve the differential equation, we separate the variables and integrate both sides:

\(\frac{dy}{y*(1-y)} = k*dt\)

Integrating both sides, we get:

\(\frac{lnly}{1-y} = k*t +c1\)

where C1 is an arbitrary constant of integration.

We can rewrite the equation in terms of y:

\(\frac{y}{1-y} = e^{(k*t+c1)}\)

Multiplying both sides by (1-y), we get:

\({y} = e^{(k*t+c1)} *(1-y)\)

\(y= \frac{C}{(1+(c-1)e^{-kt} }\)

where C = y(0) is the initial fraction of the population who have heard the rumor.

(c) In this case, the initial fraction of the population who have heard the rumor is y(0) = \(\frac{100}{1300}\) = 0.077. At noon, half the town has heard the rumor, so y(4) = 0.5.

Substituting these values into the equation from part (b), we get:

\(0.5= \frac{0.077}{1+(0.777-1) e^{-k4} }\)

Solving for k, we get:

\(k= ln(\frac{12.857}{4} )\)

Substituting this value of k into the equation from part (b), and setting y = 0.9 (since we want to find the time at which 90% of the population has heard the rumor), we get:

\(0.9= \frac{0.077}{1+(0.777-1) e^{-ln(12.857}*\frac{t}{4} }\))

Solving for t, we get:

t = 8.7 hours after the beginning (rounded to one decimal place)

A differential equation is a mathematical equation that relates a function to its derivatives. It is a powerful tool used in many fields of science and engineering to describe how physical systems change over time. The equation typically includes the independent variable (such as time) and one or more derivatives of the dependent variable (such as position, velocity, or temperature).

Differential equations can be classified based on their order, which refers to the highest derivative present in the equation, and their linearity, which determines whether the equation is a linear combination of the dependent variable and its derivatives. Solving a differential equation involves finding a function that satisfies the equation. This can be done analytically or numerically, depending on the complexity of the equation and the available tools.

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Answer: y= 4+2x

Step-by-step explanation: Move all terms that don't contain y to the right side and solve.

To calculate the cash balance at the end of the period, we need to consider the cash inflows and outflows.

Starting cash balance: $4,520

Cash inflows: $1,654 (receivables collected)

Cash outflows: $1,961 (payments to suppliers) + $500 (cash expenses)

Total cash inflows: $1,654

Total cash outflows: $1,961 + $500 = $2,461

To calculate the cash balance at the end of the period, we subtract the total cash outflows from the starting cash balance and add the total cash inflows:

Cash balance at the end of the period = Starting cash balance + Total cash inflows - Total cash outflows

Cash balance at the end of the period = $4,520 + $1,654 - $2,461

Cash balance at the end of the period = $4,520 - $807

Cash balance at the end of the period = $3,713

Therefore, the cash balance at the end of the period is $3,713.

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p(B) = 0.5 up to the first decimal place.

We can use Bayes' theorem to find p(B) given the conditional probabilities provided:

\(p(A|B) = 0.7, p(A|BC) = 0.3, and p(A) = 0.5\)

First, we can use the law of total probability to find p(A|B) and p(A|BC):

\(p(A) = p(A|B)p(B) + p(A|BC)p(B^c)\)

where \(B^c\) denotes the complement of B, i.e., not B. Substituting the given values, we get:

\(0.5 = 0.7p(B) + 0.3p(B^c)\)

We can rearrange this equation to solve for p(B):

\(0.2 = 0.4p(B) - 0.3p(B^c)\\0.5 = p(B) + p(B^c)\)

Substituting \(p(B^c) = 1 - p(B)\), we get:

\(0.5 = p(B) + (1 - p(B))\)

Solving for p(B), we get:

\(p(B) = 0.5 - p(B^c) = 0.5 - (1 - p(B)) = 2p(B) - 0.5\\0.5 = p(B)\)

Therefore, p(B) = 0.5 up to the first decimal place.

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Answer:

72.22

Step-by-step explanation:

C = \(\pi \: d\)

3.14×23=72.22

The circumference of a circle whose radius is 11.5 inches.

Thus, option (a) is correct.

Given:

Diameter = 23 inch

So, Radius of circle = diameter/2

                                =23/2

                                = 11.5 inch

Now, the formula for circumference of a circle is

= 2πr

Substituting the value of r= 11.5 into the formula as

= 2 x 3.14 x 11.5

= 72.22 inches

Thus, the circumference of circle is 72.22 inches.

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Answer:

DE = 32

EF = 34

Step-by-step explanation:

3x + 5 + 4x - 2 = 66

7x + 3 = 66

7x = 63

x = 9

DE = 3(9)+5 = 32

EF = 4(9)-2 = 34

check:  32 + 34 = 66

Answer:

DE = 32

EF = 34

DF = 66

Step-by-step explanation:

DE + EF = DF from the segment addition postulate

3x+5  + 4x-2 = 66

Combine like terms

7x+3 = 66

Subtract 3 from each side

7x+3-3 = 66-3

7x = 63

Divide each side by 7

7x/7 = 63/7

x = 9

DE = 3x+5 = 3(9)+5 = 27+5 = 32

EF = 4x-2 = 4(9) -2 = 36-2 = 34

DF = 66

Answer:

Step-by-step explanation:

11 8/100 +2 25/100 is 13 33/100

Answer:

The volume of her cube is 15.625cm^3

Step-by-step explanation:

The formula V = s³, where s represents the side length of the cube.

a) The average estimated time for Bill to drive to work when he leaves on time at 6:30 with no red lights and no trains to wait for is approximately -19.9166 minutes. b) The estimated coefficients of REDS and TRAINS in the regression model are 1.3353 (REDS). c) The absolute value of the calculated t-value (-1.7733) is less than the critical t-value (1.9719), we fail to reject the null hypothesis.

a) To find the average estimated time in minutes for Bill to drive to work when he leaves on time at 6:30 and there are no red lights and no trains at the crossroad to wait, we substitute the values into the regression model:

TIME = -19.9166 + 0.3692(DEPART) + 1.3353(REDS) + 2.7548(TRAINS)

Given:

DEPART = 0 (as he leaves on time at 6:30)

REDS = 0 (no red lights)

TRAINS = 0 (no trains to wait for)

Substituting these values:

TIME = -19.9166 + 0.3692(0) + 1.3353(0) + 2.7548(0)

    = -19.9166

Therefore, the average estimated time for Bill to drive to work when he leaves on time at 6:30 with no red lights and no trains to wait for is approximately -19.9166 minutes. However, it's important to note that negative values in this context may not make practical sense, so we should interpret this as Bill arriving approximately 19.92 minutes early to work.

b) The estimated coefficients of REDS and TRAINS in the regression model are:

1.3353 (REDS)

2.7548 (TRAINS)

Interpreting the coefficients:

- The coefficient of REDS (1.3353) suggests that for each additional red light, the estimated time to drive to work increases by approximately 1.3353 minutes, holding all other factors constant.

- The coefficient of TRAINS (2.7548) suggests that for each additional train Bill has to wait for at the crossing, the estimated time to drive to work increases by approximately 2.7548 minutes, holding all other factors constant.

c) To test the hypothesis that each train delays Bill by 3 minutes, we can conduct a hypothesis test.

Null hypothesis (H0): The coefficient of TRAINS is equal to 3 minutes.

Alternative hypothesis (Ha): The coefficient of TRAINS is not equal to 3 minutes.

We can use the t-test to test this hypothesis. The t-value is calculated as:

t-value = (coefficient of TRAINS - hypothesized value) / standard error of coefficient of TRAINS

Given:

Coefficient of TRAINS = 2.7548

Hypothesized value = 3

Standard error of coefficient of TRAINS = 0.1390

t-value = (2.7548 - 3) / 0.1390

       = -0.2465 / 0.1390

       ≈ -1.7733

Using a significance level of 5% (or alpha = 0.05) and looking up the critical value for a two-tailed test, the critical t-value for 230 degrees of freedom is approximately ±1.9719.

Since the absolute value of the calculated t-value (-1.7733) is less than the critical t-value (1.9719), we fail to reject the null hypothesis. This means that there is not enough evidence to conclude that each train delays Bill by 3 minutes.

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Answer:

x=21

<1=120

Step-by-step explanation:

So to find x set up an equation like this:

(5x+15)+(3x-3)=180

since the bottom and top lines are congruent they are 'interior angles on the same side of a transversal' which are always supplementary, so that's where 180 comes from.

calculate the equation and you'll get x=21 :D

next to find 1 just put 21 in place of x: 3(21)-3=60

since it's supplementary to angle 1 you take 180-60=120

angle <1=120!

Answer:

I have reason to believe its a

Step-by-step explanation:

Easy 9nth grade math :)

We need the formulas for combinations and permutations

Replacing the information we have

Then 9C3=84 and 12P3=1320.

Answer:

must sell atleast 26 T shirts

Step-by-step explanation:

First, let's create an expression.

x = # of t-shirts.

$10.99x - ($280 + $3.99x)

Now, let's set our expression equal to 0.

$10.99x - ($280 + $3.99x) = 0

Distribute the negative sign.

$10.99x - $280 - $3.99x = 0

Combine like terms.

$7x - $280 = 0

Add $280 to both sides.

$7x = $280

Divide both sides by $7

x = 40

The students would have to sell 40 t-shirts to break even.

Answer:

7/12 < 2/3 < 17/24 < 3/4

Step-by-step explanation:

least to greatest

Answer is 10

Explaination:

10x3=30

30-4=26

Perimeter = length times 2 + width times 2

26 x 2= 52

10 x 2= 20

52+20=72

Please mark brainliest

The probability that at least 10 of those students are from section 0101 is given as follows:

P(X >= 10) = 0.172 = 17.2%.

The mass probability formula, giving the probability of x successes out of n options, is presented as follows:

\(P(X = x) = h(x,N,n,k) = \frac{C_{k,x}C_{N-k,n-x}}{C_{N,n}}\)

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

The parameters are listed and explained as follows:

The parameter values for this problem are given as follows:

N = 180, k = 120, n = 12.

The probability of at least 10 is given as follows:

P(X >= 10) = P(X = 10) + P(X = 11) + P(X = 12)

Using a hypergeometric distribution calculator with the above parameters, the probability is given as follows:

P(X >= 10) = 0.172 = 17.2%.

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Answer:

x = 11

z = 86

Step-by-step explanation:

8x + 6 and 10x-16 are vertical angles

Vertical angles are pairs of angles that are opposite each other and have the same vertex, or point of intersection. They are formed when two lines intersect at a point, and are always congruent, or of equal measure.

To solve this equation, we need to isolate the variable x on one side of the equation. To do this, we can start by subtracting 6 from both sides of the equation:

8x + 6 - 6 = 10x - 16 - 6

8x = 10x - 22

Now we can subtract 8x from both sides of the equation:

8x - 8x = 10x - 22 - 8x

0 = 2x - 22

To solve for x, we can add 22 to both sides of the equation:

0 + 22 = 2x - 22 + 22

22 = 2x

Finally, we can divide both sides of the equation by 2 to find the value of x: 22 / 2 = 2x / 2

x = 11

Therefore, the solution to the equation is x = 11.

Now that we have x, z is a supplementary angle to 8x + 6 (or you could do 10x - 16)

Supplementary angles are pairs of angles that add up to 180 degrees. They are formed when two lines intersect at a point, and the angles formed at the intersection are supplementary.

First plug in x, 8x + 6 = 8(11) + 6 = 88 + 6 = 94

180 - 94 = z

z = 86

The measure of the angle ∠CDE in the cyclic quadrilateral AEDC and the angle ∠BFC indicates;

(a) \(G\widehat{A}E\) = 38°

(b) \(A \widehat{E}B\) = 63°

A cyclic quadrilateral is an inscribed quadrilateral of a circle.

(a) The quadrilateral ACDE is a cyclic quadrilateral, therefore;

∠CDE and ∠AEF are supplementary angles

m∠CDE + m∠AEF = 180° (Definition of supplementary angles

m∠CDE = 128°

Therefore; m∠EAF = 180° - 128° = 52°

AC is a diameter of the circle, therefore FA is a radius of the circle and ∠GAF is a right angle (90°) (Properties of a tangent to a circle)

∠GAF = ∠GAE + ∠EAF (Angle addition postulate)

m∠GAE  = m∠GAF - m∠EAF

m∠GAE  = 90° - 52° = 38°

Angle \(G\widehat{A}E\) = 38°

(b) Angle AEB, angle AFE and angle EAF are the interior angles of the triangle AEF, therefore;

m∠AEB + m∠AFE + m∠EAF = 180° (Angle sum property of a triangle)

m∠AEB = 180° - (m∠EAF + m∠AFE)

m∠AEB = 180° - (52° + m∠AFE)

∠AFE and ∠BFC are vertical angles, therefore;

m∠AFE = m∠BFC = 65°

m∠AEB = 180° - (52° + 65°) = 63°

\(A\widehat{E}B\) = 63°

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By the property of the mid point theorem of triangle:

(1) MN = 1/2 QR and (ii) MN || QR

A point that divides a line segment into two equal halves is the midway of the segment. The line segment's midpoint is located precisely in the middle.

(1) MN = 1/2 QR

By the property of the mid point theorem of triangle:

MN = 1/2 QR , As M and Na are the mid points sides QP and PR of triangle .

(ii) MN || QR

And thus, both the lines MN and QR will be parallel.

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complete question:

In the figure M and N are mid point at QP and PR prove that: respectively

(1) MN = 1/2 QR

(ii) MN || QR

The figure is attached.

The intersection of N(x) and N'(x), denoted by N(x)∩N'(x), is an open neighborhood of x. Since N(x)∩N'(x) ⊆ N(x) ⊆ U and N(x)∩N'(x) ⊆ N'(x) ⊆ X\U, we can conclude that N(x)∩N'(x) ⊆ UA.

Since N(x)∩A is a non-empty set contained in A\U, we have shown that every point in (A\U)' has a neighborhood contained in A\U. Therefore, (A\U)' is open in X, which implies that A\U is closed in X.

To show that if U is open in X and A is closed in X, then UA is open in X and A\U is closed in X, we need to prove two statements:

Let's prove these statements one by one:

Let x be an arbitrary point in UA. Since x is in UA, it must belong to U as well as A. Since U is open in X, there exists an open neighborhood N(x) of x that is completely contained within U. Now, since x is in A, it is also in X\U (complement of U in X). As A is closed in X, X\U is closed in X, which means its complement, U, is open in X. Therefore, there exists an open neighborhood N'(x) of x that is completely contained within X\U.

Now, consider the intersection of N(x) and N'(x), denoted by N(x)∩N'(x). This intersection is an open neighborhood of x. Since N(x)∩N'(x) ⊆ N(x) ⊆ U and N(x)∩N'(x) ⊆ N'(x) ⊆ X\U, we can conclude that N(x)∩N'(x) ⊆ UA.

Since N(x)∩N'(x) is an open neighborhood of x completely contained within UA, we have shown that UA is open in X.

Let x be an arbitrary point in (A\U)'. Since x is not in A\U, it means that x must either be in A or in U (or both). If x is in A, then x is not in A\U. Therefore, x is in U.

Since x is in U and U is open in X, there exists an open neighborhood N(x) of x that is completely contained within U. Now, consider the intersection of N(x) and A. Since x is in A, N(x)∩A is a non-empty set. Let y be any point in N(x)∩A.

We know that N(x)∩A ⊆ U∩A ⊆ A\U, because if y was in U, it would contradict the assumption that y is in A. Therefore, N(x)∩A is a subset of A\U.

Since N(x)∩A is a non-empty set contained in A\U, we have shown that every point in (A\U)' has a neighborhood contained in A\U. Therefore, (A\U)' is open in X, which implies that A\U is closed in X.

Hence, we have shown that if U is open in X and A is closed in X, then UA is open in X, and A\U is closed in X.

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The answer is 0.5833 using probability.

What is probability?

By simply dividing the favorable number of possibilities by the entire number of possible outcomes, the probability of an occurrence can be determined using the probability formula. Because the favorable number of outcomes can never exceed the entire number of outcomes, the chance of an event occurring might range from 0 to 1.

The probability of an event can be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

When two dice are rolled sample space is of 36 elements.

The elements which give sum less than 8 are given as follow

(1,1),(1,2),(1,3),(1,4),(1,5),(1,6)

(2,1),(2,2),(2,3),(2,4),(2,5)

(3,1),(3,2),(3,3),(3,4)

(4,1),(4,2),(4,3)

(5,1),(5,2)

(6,1)

Here the total number of elements that satisfy conditions is 21

Hence probability is given by (21/36)

Probability=0.5833

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The correct Fourier transform of the signal y(n) = 3x[n]n (n) is 3X(e−j(v−3n)).

Explanation:

Given information: a signal x[n] having the corresponding Fourier transform X(c j), and another signal y(n) = 3x[n]n (n) .

We know that, the Fourier transform of y(n) is given by:

Y(e^jv)=sum from - infinity to infinity y(n)e^jvn.

where y(n) = 3x[n]n (n)

Substituting y(n) in the above equation, we get:

Y(e^jv) = 3 * sum from - infinity to infinity x[n]n (n) * e^jvn.

We know that, the Fourier transform of x[n]n (n) is X(e^j(v-2pi*k)/3).

Therefore, substituting the value of y(n) in the above equation, we get:

Y(e^jv) = 3 * sum from - infinity to infinity x[n]n (n) * e^jvn

= 3X(e^j(v-3n)).

Hence, the Fourier transform of the signal y(n) = 3x[n]n (n) is 3X(e−j(v−3n)).

Conclusion: The correct Fourier transform of the signal y(n) = 3x[n]n (n) is 3X(e−j(v−3n)).

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Answer:

x is 55 degrees because the whole angle is a total of 180 degrees. All you have to do is do 180 minus the given angle, 125