What is the slope of the line that passes through the points (7, -4) and (7, 0)
Write It In Simplest Form Pls.

Answer:

28

Step-by-step explanation:

maybe

The 98% confidence interval for the population mean (μ) is approximately (2.711, 3.009).

1: Identify the given data

Sample size (n) = 150 students

Sample mean (x) = 2.86

Population standard deviation (σ) = 0.78

Confidence level = 98%

2: Find the critical z-value (z*) for a 98% confidence level

Using a z-table or calculator, you'll find that the critical z-value for a 98% confidence level is 2.33 (approximately).

3: Calculate the standard error (SE)

SE = σ / √n

SE = 0.78 / √150 ≈ 0.064

4: Calculate the margin of error (ME)

ME = z* × SE

ME = 2.33 × 0.064 ≈ 0.149

5: Construct the confidence interval

Lower limit = x - ME = 2.86 - 0.149 ≈ 2.711

Upper limit = x + ME = 2.86 + 0.149 ≈ 3.009

The 98% confidence interval is approximately (2.711, 3.009).

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1. The balloon's initial temperature was ____ °C.

2. The temperature of the oil is ____ °C.

1. To find the balloon's initial temperature, we can use the combined gas law, which states that the initial pressure times the initial volume divided by the initial temperature is equal to the final pressure times the final volume divided by the final temperature. Given that the volume changes to 76.4% of its initial volume and the final temperature is -80.0 °C, we can solve for the initial temperature. First, we convert the volume change to a decimal by dividing 76.4% by 100, giving us 0.764. Plugging in the values into the combined gas law equation, we can rearrange it to solve for the initial temperature.

2. To determine the temperature of the oil, we can use the ideal gas law, which states that the pressure times the volume divided by the temperature is equal to the gas constant times the number of moles. Since the volume remains constant and we are given the initial and final pressures, we can solve for the temperature. By plugging in the values into the ideal gas law equation and solving for the temperature, we can find the temperature of the oil in °C.

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Answer:

Angle X is 80 degrees mate

Step-by-step explanation:

How you may ask? Well since the angle CBD is given as 100 degrees, Angle BFH also becomes 100 degrees as corrosponding angles are always equal. If angle BFH becomes 100 degrees, Angle X becomes 80 degrees as 100+80=180 degrees.

Hope This Helped:)

Answer:

80

Step-by-step explanation:

The angle underneath the given one has to be 80 to form that straight line. And as you should know alternate interior angle are congruent meaning the angle you are looking for has to be 80.

Hope this helps :)

The complement output of a JK flip-flop is given by the Boolean expression JQ + KQ is the same as the characteristic equation for the regular output Q(t+1).

The characteristic equation for the complement output of a JK flip-flop can use the following steps:

Start with the excitation table for a JK flip-flop:

J  K  Q(t)  Q(t+1)

0  0   0      0

0  0   1      1

0  1   0      0

0  1   1      0

1  0   0      1

1  0   1      1

1  1   0      1

1  1   1      0

The expression for the complement output Q'(t+1) in terms of J, K, Q(t), and Q'(t):

Q'(t+1) = not(Q(t+1))

       = not(JQ(t) + K'Q'(t))  // since Q(t+1) = JQ(t) + K'Q'(t)

       = not(JQ(t)) × not(K'Q'(t))  // De Morgan's Law

       = (not(J) + Q(t)) × KQ'(t)  // since not(JQ)

= not(J) + not(Q)

Simplify the expression using Boolean algebra:

Q'(t+1) = (not(J) + Q(t)) × KQ'(t)

       = not(J)KQ'(t) + Q(t)KQ'(t)  // Distributive Law

       = J'K'Q'(t) + JKQ'(t)  // De Morgan's Law

       = (J'K' + JK)Q'(t)

The characteristic equation for the complement output of a JK flip-flop is:

Q'(t+1) = J'K'Q'(t) + JKQ'(t)

       = JQ + KQ

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The instantaneous rate of change of a function is the slope of the tangent line to the function at a specific point. It describes the rate at which the function is changing at that exact point.

To find the instantaneous rate of change of the function f(t) = t^2 at t = 3, we need to use definition 1 or 2 of the derivative.

Definition 1: f'(t) = lim h->0 [f(t+h) - f(t)]/h

Plugging in t = 3 and simplifying, we get:

f'(3) = lim h->0 [(3+h)^2 - 3^2]/h
     = lim h->0 [9 + 6h + h^2 - 9]/h
     = lim h->0 (6 + h)
     = 6

Therefore, the instantaneous rate of change of f(t) = t^2 at t = 3 is 6.

Definition 2: f'(t) = lim x->t [f(x) - f(t)]/(x - t)

Plugging in t = 3 and simplifying, we get:

f'(3) = lim x->3 [(x)^2 - 3^2]/(x - 3)
     = lim x->3 (x + 3)
     = 6

Therefore, the instantaneous rate of change of f(t) = t^2 at t = 3 is also 6 using definition 2.

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The domain is 0 ≤ x ≤ 52. The maximum number of laws that she can mow with 13 gallons is of 52, and the minimum number is of 0.

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

The graph touches the y-axis at y = 13, hence the intercept b is given as follows:

b = 13.

When x increases by 20, y decays by 5, hence the slope m is given as follows:

m = -5/20

m = -0.25.

Hence the function is:

y = -0.25x + 13.

From the intercept, the minimum amount can be mowed is given as follows:

0.

The maximum amount is given as follows:

-0.25x + 13 = 0

0.25x = 13

x = 13/0.25

x = 52.

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Answer: (2x + 3y)^2; m = 2 n = 3

Step-by-step explanation:

another way to write (2x + 3y)^2 is

(2x+3y) (2x+3y) if you FOIL (First, Outsides, Insides, Lasts) you will get

4x^2 + 6xy + 6xy + 9y^2

= 4x^2 + 12xy + 9y^2

Answer:

Step-by-step explanation:

To find:-

Answer:-

We are given a equation,

\(\longrightarrow (mx+ny)^2 = 4x^2+12xy+9y^2  \\\)

Consider the LHS ,

\(\longrightarrow (mx+ny)^2 \\\)

We can expand it using an indentity ,

Identity:-

\(\longrightarrow \boxed{ (a+b)^2=a^2+b^2+2ab}\\\)

So we have;

\(\longrightarrow (mx)^2+(ny)^2+2(mx)(ny) = 4x^2+12xy + 9y^2  \\\)

Simplify,

\(\longrightarrow  m^2(x^2) + n^2(y^2) + 2xy(mn) = 4x^2+12xy + 9y^2\\\)

On comparing the respective terms , we have;

Simplify and solve for m and n as ,

\(\longrightarrow m =\sqrt{4} =\boxed{2}\\\)

\(\longrightarrow n =\sqrt{9} =\boxed{3} \\\)

Hence the value of m is 2 and that of n is 3 .

Answer:

1) c. 5

2) 1.29

Step-by-step explanation:

1. To calculate the standard deviation, we first need to find the variance. The variance is the average of the squared differences from the mean.

Step 1: Find the differences from the mean:

15 - 21 = -6

21 - 21 = 0

17 - 21 = -4

16 - 21 = -5

26 - 21 = 5

18 - 21 = -3

29 - 21 = 8

Step 2: Square the differences:

(-6)^2 = 36

0^2 = 0

(-4)^2 = 16

(-5)^2 = 25

5^2 = 25

(-3)^2 = 9

8^2 = 64

Step 3: Find the average of the squared differences:

(36 + 0 + 16 + 25 + 25 + 9 + 64) / 7 = 175 / 7 = 25

Step 4: Take the square root of the variance to find the standard deviation:

√25 = 5

Therefore, the standard deviation is 5.

2. To calculate the standard deviation for the set of numbers 2, 3, 4, 4, 5, 6:

Step 1: Find the mean:

(2 + 3 + 4 + 4 + 5 + 6) / 6 = 24 / 6 = 4

Step 2: Find the differences from the mean:

2 - 4 = -2

3 - 4 = -1

4 - 4 = 0

4 - 4 = 0

5 - 4 = 1

6 - 4 = 2

Step 3: Square the differences:

(-2)^2 = 4

(-1)^2 = 1

0^2 = 0

0^2 = 0

1^2 = 1

2^2 = 4

Step 4: Find the average of the squared differences:

(4 + 1 + 0 + 0 + 1 + 4) / 6 = 10 / 6 ≈ 1.67

Step 5: Take the square root of the variance to find the standard deviation:

√1.67 ≈ 1.29

Therefore, the standard deviation is approximately 1.29

Answer:

35 miles

Step-by-step explanation:

Total Miles driven at full tank = 230 miles

Miles drive at full tank from Austin to Dallas = 195 miles

How many miles will be left once he arrives in Dallas?

Number of miles remaining at full tank = Total Miles driven at full tank - Miles drive at full tank from Austin to Dallas

= 230 miles - 195 miles

= 35 miles

Answer:

12.5%

Step-by-step explanation:

£632 - 100%

£711 - ?%

?%= (711*100)/632 = 112.5%

112.5-100=12.5%

Answer:

A. <3 and <5

is the answer.

Answer:

Step-by-step explanation:

Hello friend!!!

The first option is correct

<3 and <5 are the alternate interior angles

Hope this helps

plz mark as brainliest!!!!!!!!

Answer:

the last one or the second, sorry if you get it wrong also can you like and, also  can you give me brainly!!

Step-by-step explanation:

Answer:

Yes

Step-by-step explanation:

Answer:

the anwser is below sea level

Step-by-step explanation:

The completely factored form of the polynomial is 7x² (x + 6) (x - 4)

Given,

The polynomial ; 7x⁴ + 14x³ - 168x²

We have to find the complete factored form of this polynomial;

Polynomial;

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).

Here,

The polynomial is  7x⁴ + 14x³ - 168x²

Now,

Factorize the polynomial using common factors;

That is,

7x⁴ + 14x³ - 168x²

7x² (x² + 2x - 24)

Solve x² + 2x - 24 using quadratic formula;

That is,

\(\frac{-b(+-)\sqrt{b^{2}-4ac } }{2a}\) = \(\frac{-2(+-)\sqrt{2^{2} -4*1*-24} }{2*1}\) = \(\frac{-2(+-)\sqrt{4-96} }{2}\) = -2±√-92 / 2

Now,

Solve

-2 + √-92 / 2 = 3.79 ≈ 4

Solve

-2 - √-92 / 2 = -5.79 ≈ -6

Then,

The factors will be (x - 4) and (x + 6)

So,

7x² (x + 6) (x - 4) will be the factored form of the polynomial.

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Answer:

I use standard form

Step-by-step explanation:

I use the standard form.

Based on the information, the width of the river is approximately 71.508 meters

We can use the tangent function, which relates the angle and the sides of a right triangle. The formula is:

tan(angle) = opposite / adjacent

In this case, the adjacent side is the 60 meters that the surveyor walked, and the opposite side is the width of the river that we need to find.

Using the formula, we can rearrange it to solve for the opposite side:

opposite = adjacent * tan(angle)

Plugging in the values:

opposite = 60m * tan(50°)

opposite = 60m * tan(50°)

opposite ≈ 60m * 1.1918

opposite ≈ 71.508 meters

Therefore, the width of the river is approximately 71.508 meters.

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A surveyor needs to calculate the width of a river. From a point A located in front of a tree

bowl on the opposite shore, walk 60 meters (m) to the right. If the angle between the river bank

and the line of sight to the tree at this point is 50°, what is the width of the river?

Answer:

0.6

Step-by-step explanation:

The maximum probability is always 1. this to solve this question you need to subtract the probability of waiting for the bus from 1 and get your answer

thus: 1 - 0.4

= 0.6

is there a value to y? if not, this is what I got:

Y^2 + 2y + 3

Answer: I calculated the value after 5 years to be 5,734.40 or 5,734

Step-by-step explanation:

The probability of the event P(A is on \(\bar{CD}\)) is 6/13.

Probability:

The term probability defines the possibility of the favorable event across the total event.

Given,

Point A is chosen at random on \(\bar{BE}\).

Here we need to find the the probability of the following event.

P(A is on \(\bar{CD}\)).

Let us consider the following image, in order to solve this.

Based on the image we have identified that the probability of the event  P(A is on \(\bar{CD}\)) is calculated by dividing the length of CD by the length of BE.

So, the probability of the event P(A is on \(\bar{CD}\)) is,

P(A is on \(\bar{CD}\)) =  (length of CD) / (length of BE)

Apply the values then we get,

P(A is on \(\bar{CD}\)) = 12 / ( 5 + 12 + 9)

P(A is on \(\bar{CD}\)) = 12 / 26

And it can be simplified as,

P(A is on \(\bar{CD}\)) = 6/13

Therefore, the probability of the event P(A is on \(\bar{CD}\)) is 6/13.

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I can't see anything it is full black

Answer: 46 mph

Step-by-step explanation:

322 divided by 7 is 46 tyyy stan bts!

In a taste test comparing a generic soda to a brand name soda, the count of correct guesses among 20 tasters follows a binomial distribution with parameters n = 20 (number of trials) and p = 0.25 (probability of guessing correctly). The taste tests are conducted independently, with tasters in separate locations to avoid interaction between them during the test.

Binomial distribution: The binomial distribution is a discrete probability distribution of the number of successes in a fixed number of independent trials. P(X=k)= nCk * pk * (1-p)n-k, Where P(X=k) is the probability of getting k successes in n trials, nCk is the number of ways to get k successes in n trials, p is the probability of success, and 1 - p is the probability of failure.

So, the formula for the mean and variance of the binomial distribution is as follows: μ = npσ2 = np (1 - p).

Now, we have to find n and p. Probability of success, p is 0.25 and the number of trials, n is 20.

Thus,p = 0.25, n = 20.

So, n and p are 20 and 0.25 respectively.

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The simplified expression is (2a - 10)/(3a - 5), with the restriction a ≠ 5/3.

To simplify the given expression (a + 11)/(3a - 5) + (a - 21)/(3a - 5), we can combine the fractions with a common denominator:

[(a + 11) + (a - 21)] / (3a - 5)

Simplifying the numerator:

(a + 11 + a - 21) / (3a - 5)

Combining like terms:

(2a - 10) / (3a - 5)

Now, let's consider any possible restrictions on the variables. In this case, the only restriction is that the denominator (3a - 5) should not equal zero since division by zero is undefined. To find the restriction, we set the denominator equal to zero and solve for a:

3a - 5 = 0

3a = 5

a = 5/3

Hence, the restriction is a ≠ 5/3.

Therefore, the simplified expression is (2a - 10)/(3a - 5), with the restriction a ≠ 5/3.

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Answer:

3/56

Step-by-step explanation:

yeah mhm yaaaa