What is m∠1? m∠1 =
?

Answer:

18480 feet

Step-by-step explanation:

5280 feet are in a mile 3.5 ×5280=18480

The total number of combo possibilities that you have is given as follows:

64,000.

The Fundamental Counting Theorem states that if there are n independent trials, each with \(n_1, n_2, \cdots, n_n\) possible results, the total number of outcomes is calculated by the multiplication of the number of outcomes for each trial as presented as follows:

\(N = n_1 \times n_2 \times \cdots \times n_n\)

For each of the three numbers in this problem, there are 40 options, hence the total number of combo possibilities that you have is given as follows:

40 x 40 x 40 = 64,000.

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Answer:

THE ANNOYING ORANGE THE ANOYING ORANGE THE ANNOYING ORANGE THE ANNOYING ORANGE!!!!!!!

Step-by-step explanation:

Answer:

1:4 is the ratio

Step-by-step explanation:

2:8 simplified is 1:4

not sure if this is exactly the right answer but I hope it helps

Exact Form:

419/15

Decimal Form:

27.93...

Mixed Number Form:

27  14/15

Hope this helps(:

Answer:

i dont know man

Step-by-step explanation:

i dont know

Answer:

The circumference of circle with radius x+3 is: \(2\pi x+6\pi\)

Step-by-step explanation:

Given that

Radius = r =x+3

The circumference of a circle is the distance around boundary of the circle.

The circumference of circle is given by the formula.

\(C = 2\pi r\)

Putting the value of r, we get

\(C = 2\pi (x+3)\\C = 2\pi x+6\pi\)

Hence,

The circumference of circle with radius x+3 is: \(2\pi x+6\pi\)

The test would be done at 0.10/2 = 0.05 significance level.

To determine if the mean weights differ between baby boys and girls, we need to state the appropriate null and alternative hypotheses.

Null hypothesis (H0): The mean weight of baby boys (μ1) is equal to the mean weight of baby girls (μ2)).

Alternative hypothesis (H1): The mean weight of baby boys (μ1) is not equal to the mean weight of baby girls (μ2)

Since we are comparing the means of two independent samples, this is a two-sample t-test. The null hypothesis assumes that there is no difference in the mean weights between baby boys and girls. The alternative hypothesis suggests that there is a difference.

In this case, we will use the P-value method with a significance level of α = 0.10 to determine if there is enough evidence to reject the null hypothesis. The P-value is the probability of obtaining a test statistic as extreme as the observed one, assuming that the null hypothesis is true.

To perform the two-sample t-test and calculate the P-value, we can use statistical software like Excel or a statistical calculator. We will need the sample weights for boys and girls.

The given data are as follows:

Boys: 7.6, 6.4, 8.1, 7.9, 8.3, 7.3, 6.4, 8.4, 8.5, 6.9, 6.3, 7.4, 7.8, 7.5, 6.9, 7.8, 8.6, 7.7, 7.4

Girls: 7.0, 8.2, 7.4, 6.0, 6.7, 8.2, 7.5, 5.7, 6.6, 6.8, 7.5, 7.2, 6.9, 8.2, 6.5, 6.7, 7.2, 6.3, 5.9

By performing the two-sample t-test and calculating the P-value, we can determine if there is enough evidence to conclude that the mean weights differ between baby boys and girls.

Here are the null and alternate hypotheses that would be suitable for this case:

Null Hypothesis, H0: µ1 = µ2

Alternate Hypothesis, H1: µ1 ≠ µ2

Since it's a two-tailed test, the test would be done at 0.10/2 = 0.05 significance level.

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The test would be done at 0.10/2 = 0.05 significance level. it's a two-tailed test, the test would be done at  0.05 significance level. we need to state the appropriate null and alternative hypotheses.

If the mean weights differ between baby boys and girls, we need to state the appropriate null and alternative hypotheses.

Null hypothesis (H0): The mean weight of baby boys (μ1) is equal to the mean weight of baby girls (μ2)).

Alternative hypothesis (H1): The mean weight of baby boys (μ1) is not equal to the mean weight of baby girls (μ2)

Since we are comparing the means of two independent samples, this is a two-sample t-test. The null hypothesis assumes that there is no difference in the mean weights between baby boys and girls. The alternative hypothesis suggests that there is a difference.

In this case, we will use the P-value method with a significance level of α = 0.10 to determine if there is enough evidence to reject the null hypothesis. The P-value is the probability of obtaining a test statistic as extreme as the observed one, assuming that the null hypothesis is true.

To perform the two-sample t-test and calculate the P-value, we can use statistical software like Excel or a statistical calculator. We will need the sample weights for boys and girls.

The given data are as follows:

Boys: 7.6, 6.4, 8.1, 7.9, 8.3, 7.3, 6.4, 8.4, 8.5, 6.9, 6.3, 7.4, 7.8, 7.5, 6.9, 7.8, 8.6, 7.7, 7.4

Girls: 7.0, 8.2, 7.4, 6.0, 6.7, 8.2, 7.5, 5.7, 6.6, 6.8, 7.5, 7.2, 6.9, 8.2, 6.5, 6.7, 7.2, 6.3, 5.9

By performing the two-sample t-test and calculating the P-value, we can determine if there is enough evidence to conclude that the mean weights differ between baby boys and girls.

Here are the null and alternate hypotheses that would be suitable for this case:

Null Hypothesis, H0: µ1 = µ2

Alternate Hypothesis, H1: µ1 ≠ µ2

Since  0.10/2 = 0.05 significance level.

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The total surface area of the trapezoidal prism is S = 3,296 inches²

Given data ,

Let the total surface area of the trapezoidal prism is S

Now , the measures of the sides of the prism are

Side a = 10 inches

Side b = 32 inches

Side c = 10 inches

Side d = 20 inches

Length l = 40 inches

Height h = 8 inches

Lateral area of prism L = l ( a + b + c + d )

L = 40 ( 10 + 32 + 10 + 20 )

L = 2,880 inches²

Surface area S = h ( b + d ) + L

On simplifying the equation , we get

S = 2,880 inches² + 8 ( 52 )

S = 3,296 inches²

Hence , the surface area of prism is S = 3,296 inches²

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The evaluated integral using the substitution method is 5x^2 - 7x - 86 + C.

The integral can be evaluated using the substitution method to find the antiderivative and then simplifying the result.

Let's break down the given integral step by step. We are given:

∫(6x^2 - 2x) du

To evaluate this integral, we can use the substitution method. Let's choose u = 2x + 7. Differentiating u with respect to x gives du/dx = 2.

Now, we can rewrite the integral in terms of u:

∫(6x^2 - 2x) du = ∫(6(u-7)/2 - u/2)(du/2)

Simplifying further:

= ∫(3u - 21 - u/2) du

= ∫(5u/2 - 21) du

Now, we can integrate term by term:

= (5/2)∫u du - 21∫du

= (5/2)(u^2/2) - 21u + C

Finally, we substitute u back in terms of x:

= (5/2)((2x + 7)^2/2) - 21(2x + 7) + C

Simplifying and combining terms:

= (5/4)(4x^2 + 28x + 49) - 42x - 147 + C

= 5x^2 + 35x + 61 - 42x - 147 + C

= 5x^2 - 7x - 86 + C

Therefore, the evaluated integral using the substitution method is 5x^2 - 7x - 86 + C.

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The shortest distance from the point (1, 0, −4) to the plane x + y + z = 4 is approximately 0.577 units.

To determine the shortest distance, d, from the point (1, 0, −4) to the plane x + y + z = 4, we can use the formula for the distance between a point and a plane.

Let's first find a point on the plane.

To do that, we can set two of the variables equal to zero, then solve for the third variable.

For example, if we let x = 0 and y = 0, we can solve for z:0 + 0 + z = 4z = 4

So the point (0, 0, 4) lies on the plane x + y + z = 4.Now we can use the distance formula:d = |ax + by + cz + d| / sqrt(a² + b² + c²)

where (a, b, c) is the normal vector of the plane, and d is any point on the plane (in this case, (0, 0, 4)).

The normal vector of the plane x + y + z = 4 is (1, 1, 1), since the coefficients of x, y, and z are all 1.

So we can plug in these values to get:d = |1(1) + 1(0) + 1(-4) + 4| / sqrt(1² + 1² + 1²)d = 1/√3

(Note: √3 is the square root of 3)

Therefore, the shortest distance from the point (1, 0, −4) to the plane x + y + z = 4 is approximately 0.577 units.

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The potential difference V(B) − V(A) is determined by subtracting the potential at A from the potential at B.

The potential difference V(B) − V(A) is -5V.

The potential difference between two points in an electric field is determined by subtracting the potential at one point from the potential at the other point.

The potential difference V(B) − V(A) in the given scenario can be determined as follows.

The electric field E due to the first charge Q1, which is +1×10^-8 C at the origin, at point A on the x-axis is given by,

E1 = kQ1/x

where k is the Coulomb constant k = 9 × 10^9 Nm^2/C^2 and x is the distance from the point to the charge.

According to the above equation,

E1 = (9 × 10^9)(1 × 10^-8)/4E1 = 2.25 V/m

The potential at point A due to the first charge Q1 is given by,V1 = E1 × xV1 = (2.25 V/m) × 4 mV1 = 9V

The electric field E due to the second charge Q2, which is -2×10^-8 C at a distance of 4m on the y-axis, at point B is given by,E2 = kQ2/d

where d is the distance from the point to the charge.

According to the above equation,E2 = (9 × 10^9)(-2 × 10^-8)/5E2 = -3.6 V/m

The potential at point B due to the second charge Q2 is given by,

V2 = E2 × dV2 = (-3.6 V/m) × 3 mV2 = -10.8 V

The potential difference V(B) − V(A) is determined by subtracting the potential at A from the potential at B.

V(B) − V(A) = V2 − V1V(B) − V(A)

= -10.8 V - 9 VV(B) − V(A)

= -19.8 VV(B) − V(A)

= -5 V

Therefore, the potential difference V(B) − V(A) is -5V.

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Answer:

x=2c/3+1

Step-by-step explanation:

Subtract 2c from both sides.

−3x=−3−2c

The equation is in standard form.

−3x=−2c−3

Divide both sides by −3.

-3x/-3=-2c-3/-3

Dividing by −3 undoes the multiplication by −3.

x=-2c-3/-3

Divide −3−2c by −3.

x=2c/3+1

Answer:

8(6-x)

Step-by-step explanation:

Both 48 and 8 can be divisible by 8.

48 ÷ 8 = 6

8 ÷ 8 = 1

Therefore you get the answer 8(6-x)

as the simplest form.

Hope this helps.

Given:

90 + 27

Let's apply the distributive property to factor out the greatest common factor.

First find greatest common factor of 90 and 27

Greatest common Factor of 90 and 27 = 9

Thus, we have:

Applying distribuive property, we could rewrite as: 9(10 + 3)

ANSWER:

9(10 + 3)

Answer: B

Step-by-step explanation:

Because the curve doesn’t stop in any point so it is -infinity < y < +infinity

Answer:

-∞<y<2

Step-by-step explanation:

The range is the output values

The range is maxed at 2 and goes to negative infinity

-infinity to 2 but does not include 2

-∞<y<2

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. The distance from point A to point B is 763.752ft.

The tangent or tanθ in a right angle triangle is the ratio of its perpendicular to its base. it is given as,

\(\rm Tangent(\theta) = \dfrac{Perpendicular}{Base}\)

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The base is the adjacent smaller side of the angle θ.

A.) The distance between the boat and the lighthouse when the angle of depression is 10°.

Tan(10°) = Height of lighthouse/ distance between the boat and the lighthouse

Distance between the boat and the lighthouse

= 145/Tan(10°) = 822.336ft

B.) The distance between the boat and the lighthouse when the angle of depression is 68°.

Tan(68°) = Height of lighthouse/ distance between the boat and the lighthouse

Distance between the boat and the lighthouse

= 145/Tan(68°) = 58.584ft

The distance between point A and B = 822.336ft - 58.584ft = 763.752 ft

Hence, the distance from point A to point B is 763.752ft.

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Answer:

764

Step-by-step explanation:

Rounded. Just did the question

Answer:

the slope is 1

Step-by-step explanation:

Then the slope of the given line will be negative 4. Then the correct option is B.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equation is given as,

y = mx + c

Where m is the slope of the line and c is the y-intercept of the line.

The linear equation is given as,

x/a + y/b = 1

Where 'a' is the x-intercept of the line and ‘b’ is the y-intercept of the line.

From the graph, the x-intercept is (1, 0) and the y-intercept is (4, 0). Then the equation is written as,

x / 1 + y / 4 = 1

Convert the equation into slope-intercept form, then we have

x / 1 + y / 4 = 1

4x + y = 4

y = - 4x + 4

Then the slope of the given line will be negative 4. Then the correct option is B.

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The missing graph is drawn below.

The right answer is that there are four electrons.

The charge number of an atomic nucleus is the chemical element's atomic number, also known as the nuclear charge number.

For conventional nuclei, this is comparable to the proton number, or the number of protons found in the nucleus of each atom of that element.

Equal numbers of protons and electrons make up a neutral atom. This figure establishes the atom's atomic number.

The fourth element on the periodic table is beryllium.

Number of protons in Be-atom = 4

Number of electrons in Be-atom = 4

Therefore, it is true that there are four electrons.

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Answer:

x = 4.5, 4/7

Step-by-step explanation:

To find the roots of a factored equation you need to set the y value at 0, that way you can solve for x. Once you solve for x you get two quantities, which can be graphed. These two quantities are where the x intercepts are.

Answer:

A = 2(7) + (1/2)(4)(4 + 9) = 14 + 26 = 40 m²

hi, I'm no bot just in case...

the grapgh of the line shows y intercept of -9 and rate of change by 4

SoThe equation of the lline will be: \(y=4x-9\)

Step-by-step explanation:

That means the 96 is  75% of your grade

   96 (.75) + 75 (.25) = 90.75  final grade

Answer:4

Step-by-step explanation:22-4=18-4=14-4=10-4=6=2

The expressions below best represent within the context of the word problem is x + (x - 24) = 68, Sarah's age is 46 years. Mother's age is 46 - 24 = 22. Therefore, Sarah is 46 years old, and her mother is 22 years older than her, making her mother 68 years old.

In the given word problem, we are given two pieces of information about Sarah and her mother's ages. Firstly, we know that Sarah is 24 years younger than her mother. Secondly, we know that the sum of their ages is 68. To find out Sarah's age, we need to represent it using an expression. Let's say Sarah's age is 'x'. Therefore, the expression that best represents Sarah's age is 'x'.

Now, we also need to represent Sarah's mother's age using an expression. As we know that Sarah's mother is 24 years older than her, we can subtract 24 from Sarah's age to get her mother's age. So, the expression that best represents Sarah's mother's age is 'x - 24'.

To find Sarah's age, we can use the sum of their ages, which is 68. We know that Sarah's age is 'x', and her mother's age is 'x - 24'. Therefore, we can write an equation:

x + (x - 24) = 68

Solving this equation, we get:

2x - 24 = 68

2x = 92

x = 46

Hence, Sarah is 46 years old.

In the given word problem, we are asked to find the age of Sarah, knowing that she is 24 years younger than her mother and the sum of their ages is 68. We can use the expressions x and x - 24 to represent Sarah's and her mother's ages, respectively.

Let x represent Sarah's age. Since Sarah is 24 years younger than her mother, we can represent her mother's age as x - 24. According to the problem, the sum of their ages is 68. We can now set up an equation using this information:

x (Sarah's age) + (x - 24) (Mother's age) = 68

Solve the equation to find the value of x, which represents Sarah's age:

x + x - 24 = 68
2x - 24 = 68

Now, add 24 to both sides of the equation:

2x = 92

Next, divide both sides by 2:

x = 46

So, Sarah's age is 46 years. To find her mother's age, we can substitute the value of x in the expression x - 24:

Mother's age = 46 - 24 = 22

Therefore, Sarah is 46 years old, and her mother is 22 years older than her, making her mother 68 years old.

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The inference procedure for each is give below-

A. The inference procedure: Confidence Interval - One mean, μ.

C. The inference procedure: Hypothesis test - Difference in proportions from two samples, P1-P2.

E. The inference procedure: Confidence Interval - One proportion, p.

G. The inference procedure: Confidence Interval - Difference in proportions from two separate samples, M1-M2

I. The Inference procedure: Hypothesis test - Difference in means from two independent samples.

K. The Inference procedure: Hypothesis test - Paired means, HD.

B. The Inference procedure: Hypothesis test - Difference in proportions from two samples, P1-P2.

D. The Inference procedure: Hypothesis test - One mean, μ.

F. Inference procedure: Confidence Interval - Paired means, HD.

H. Inference procedure: Hypothesis test - One proportion, p.

J. Inference procedure: Confidence Interval - Difference in means from two independent samples.

L. It doesn't directly involve inference.

Now we have-

A. What's the average number of free throws for the Warriors to attempt during a game?

Distribution type: z

C. Do the Warriors make more free throws (on average) during games at home than on the road?

Simulation type: BT (bootstrap)

Distribution type: z

E. What proportion of free throw attempts do the Warrior players make?

Simulation type: BT (bootstrap)

Distribution type: z

G. How much better (or worse) are the Warriors at making free throw attempts compared to their opponents?

Simulation type: BT (bootstrap)

Distribution type: z

I. Is the mean number of free throw attempts awarded to the Warriors during their games different from the mean number attempted by their opponents?

Distribution type: z

K. (Challenge) On average, is the point spread when GSWarriors win larger than the point spread when they lose?

Simulation type: BT (bootstrap)

Distribution type: z

B. Is the proportion of free throws made by the Warriors different between games they play at home and those they play on the road?

Simulation type: BT (bootstrap)

Distribution type: z

D. Over the past 10 years, NBA teams have averaged close to 25 free throw attempts per game. Treating this as the population mean, is the mean number of free throw attempts by the Warriors much different?

Simulation type: BT (bootstrap)

Distribution type: z

F. How many more (or fewer) free throw attempts do the Warriors take on average for home games compared to road games?

Simulation type: BT (bootstrap)

Distribution type: z

H. Players in the NBA as a whole make about 75.6% of their free throws. Is the proportion made by the Warriors different from this?

Simulation type: BT (bootstrap)

Distribution type: z

J. How does the average number of free throws made (per game) by the Warriors compare to their opponents?

Distribution type: z

L. (Extra) On average, what is the point spread in GS Warrior games? (where "+" means they won; "-"means they lost)

This case doesn't directly involve inference.  As it requires calculating the average point spread, but it doesn't involve making statistical inferences about a population parameter.

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Answer:

X=-1, y=1

Step-by-step explanation:

- x=2x+3

-3x=3

X=-1

Y=-1*-1=1

Answer:

3,276

Step-by-step explanation:

10% of 3,640 is 364.

So, 3,640 - 364 = 3,276

90% of 3,640 is 3,276.

Answer:

shown below

Step-by-step explanation:

1) tanY = 0.2334

Y = arctan(0.2334)

Y = 13.14 degrees

2) X = 12 / tan(40)

X = 14.3km

3) x = arctan(5/8)

x = 32°