An airplane makes a 2,748-mile flight in 6 hours. What is the airplane's average rate of speed in miles per hour?

The next numbers in the series will be 0,1,-2,-1,0,-3,-2,-1........

This refers to a pattern of arranging numbers. In the number series problems, we will have to make the rules that result in the formation of a number series.

From the question:

1, 2, 3, 0, 1, 2, -1

First value plus one, second value plus one, Third value minus three. Then the pattern starts afresh again.

1 +1 = 2

2 + 1 = 3

3 -3 =0

0+1  = 1

1 + 1 = 2

2 -3 =-1

-1 + 1 =0

0 + 1 =1

1  - 3 = -2

-2 + 1 = -1

-1 + 1 = 0

0 -3 = -3

-3 + 1 = -2

-2 + 1= -1

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Answer:

28

Step-by-step explanation:

i have an a from edgenuity i got 100

The third graph represents the function g which is nonlinear and g(4) = 6.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Given that Function g is nonlinear and g(4) = 6.

A relation is a function if it has only one y-value for each x-value.

g(4) = 6.

The 4 is the input value and 6 is the output value.

(4, 6) is the ordered pair of the function g

Let us check the ordered pair (4, 6) which matches the graph.

The graph where a point touches at x = 4 and y =6 is the required graph

Hence, the third graph represents the function g which is nonlinear and g(4) = 6.

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Answer:

integer-4

proper fraction-1/10

improper fraction-0/4

Step-by-step explanation:

do not copy in the internet

The total surface area of the cylinder is 157 square feet.

Given the radius of the cylinder = 4 inches

height of the cylinder = 9 inches

Total surface area is calculated by the formula:

A = 2πr² + 2πh

A = 2 × 3.14 × 4² + 2 × 3.14 × 9

or, A = 157 square feet.

Therefore the total surface area of the cylinder is 157 square feet.

The surface area of a solid item is a measurement of the total volume that the surface of the thing occupies. The mathematical definition of surface area in the presence of curved surfaces is considerably more complicated than the definition of arc length for one-dimensional curves.

The definition of surface area for polyhedral (i.e., particles with flat polygonal faces), where the surface area is equal to the sum of the areas of its faces. When smooth surfaces, like spheres, are represented as parametric surfaces, their surface area can be calculated.

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Answer:

root(x+6) +3

Step-by-step explanation:

so you see that it is moved 2 left and 5 up

so root (x+6) +3

The the probability of being dealt no hearts is 0.75 and probability of being dealt at least one heart is 0.25 .

Total number of cards = 52

A : the probability of being dealt no hearts

B: the probability of being dealt with hearts

P( A ) = 1 - P( B)

= 1 - 13/52

= 1 -0.25

=0.75

C : probability of being dealt at least one heart

P(C) = 13C1 / 52C1

= 13 / 52

=0.25

Probability is a way to tell or calculate the possibility of an event to occur. Using it, we can make predictions about the likelihood of an event happening, or how likely it is , it helps to make predictions more clear .

The probability can be between 0 and 1 here , P being 0 means a failure and P being 1 means a success.

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Answer:

3√3v/3x V

Step-by-step explanation:

d/dt[32/3π, sin (tim), 3√3v/3x, V]

The volume of the triangular base prims is 21.6 inches cube.

A triangular base prism is a prism with a triangular base. Therefore, let's find the volume of the triangular prism.

volume of a triangular prism = base area × height

Therefore,

base area = 1 / 2 bh

where

Therefore, the triangular base has angles 45, 45 and 90 degrees. Using trigonometric ratios let's find the other legs.

tan 45 = opposite / adjacent

tan 45 = x / 6

x = 6 inches

Therefore,

base area = 1 / 2 × 6 × 6

base area = 36  /2

base area = 18 inches²

Hence,

volume of the triangular base prism = 18 × 1.2

volume of the triangular base prism = 21.6 inches³

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Answer:

90

Step-by-step explanation:

77degrees is one half of the side if see the line is exactly straight aplogies if i'm wrong

The Value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC Therefore, AC is Congruent to c .

Since AC and BD bisect each other at O, we can say that AO = OC and BO = OD.

We need to prove that AC = CD.To do this, we can use the segment addition postulate which states that if a line segment is divided into two parts, the length of the whole segment is equal to the sum of the lengths of the two parts.

Let us draw a diagram to represent the given information:From the diagram, we can see that:AO + OB = AB (By segment addition postulate)OC + OD = CD (By segment addition postulate)AO = OC (Given)BO = OD (Given)

Now, we can substitute the values of AO and OC as well as BO and OD into the equations above:AO + OB = AB ⇒ OC + OB = AB (Substituting AO = OC)OC + OD = CDNow, we can add both equations:OC + OB + OC + OD = AB + CD ⇒ 2(OC + OD) = AB + CDWe know that OC = AO and OD = BO.

Therefore, we can write:2(AO + BO) = AB + CDSince AO = OC and BO = OD, we can write:2(OA + OD) = AB + CDNow, substituting AO = OC and BO = OD, we can write:2AC = AB + CD

Finally, we can substitute the value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC

Therefore, AC is congruent to c .

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Given data

5/8 divided by (-3 3/4)

Firstly, convert the mixed fraction into an improper fraction

Answer = - 1/6

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

The probability of the sample mean being less than 25.3 is given as follows:

0.9713 = 97.13%.

The sample mean would not be considered unusual, as it has a probability that is greater than 5%.

The z-score of a measure X of a normally distributed variable that has mean represented by \(\mu\) and standard deviation represented by \(\sigma\) is obtained by the equation presented as follows:

\(Z = \frac{X - \mu}{\sigma}\)

The parameters for this problem are given as follows:

\(\mu = 25, \sigma = 1.3, n = 68, s = \frac{1.3}{\sqrt{68}} = 0.1576\)

The probability of a score less than 25.3 is the p-value of Z when X = 25.3, hence:

Z = (25.3 - 25)/0.1576

Z = 1.9

Z = 1.9 has a p-value of 0.9713.

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Answer:

\(BC=5.1\)

\(B=23^{\circ}\)

\(C=116^{\circ}\)

Step-by-step explanation:

The diagram shows triangle ABC, with two side measures and the included angle.

To find the measure of the third side, we can use the Law of Cosines.

\(\boxed{\begin{minipage}{6 cm}\underline{Law of Cosines} \\\\$c^2=a^2+b^2-2ab \cos C$\\\\where:\\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides.\\ \phantom{ww}$\bullet$ $C$ is the angle opposite side $c$. \\\end{minipage}}\)

In this case, A is the angle, and BC is the side opposite angle A, so:

\(BC^2=AB^2+AC^2-2(AB)(AC) \cos A\)

Substitute the given side lengths and angle in the formula, and solve for BC:

\(BC^2=7^2+3^2-2(7)(3) \cos 41^{\circ}\)

\(BC^2=49+9-2(7)(3) \cos 41^{\circ}\)

\(BC^2=49+9-42\cos 41^{\circ}\)

\(BC^2=58-42\cos 41^{\circ}\)

\(BC=\sqrt{58-42\cos 41^{\circ}}\)

\(BC=5.12856682...\)

\(BC=5.1\; \sf (nearest\;tenth)\)

Now we have the length of all three sides of the triangle and one of the interior angles, we can use the Law of Sines to find the measures of angles B and C.

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{\sin A}{a}=\dfrac{\sin B}{b}=\dfrac{\sin C}{c} $\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

In this case, side BC is opposite angle A, side AC is opposite angle B, and side AB is opposite angle C. Therefore:

\(\dfrac{\sin A}{BC}=\dfrac{\sin B}{AC}=\dfrac{\sin C}{AB}\)

Substitute the values of the sides and angle A into the formula and solve for the remaining angles.

\(\dfrac{\sin 41^{\circ}}{5.12856682...}=\dfrac{\sin B}{3}=\dfrac{\sin C}{7}\)

Therefore:

\(\dfrac{\sin B}{3}=\dfrac{\sin 41^{\circ}}{5.12856682...}\)

\(\sin B=\dfrac{3\sin 41^{\circ}}{5.12856682...}\)

\(B=\sin^{-1}\left(\dfrac{3\sin 41^{\circ}}{5.12856682...}\right)\)

\(B=22.5672442...^{\circ}\)

\(B=23^{\circ}\)

From the diagram, we can see that angle C is obtuse (it measures more than 90° but less than 180°). Therefore, we need to use sin(180° - C):

\(\dfrac{\sin (180^{\circ}-C)}{7}=\dfrac{\sin 41^{\circ}}{5.12856682...}\)

\(\sin (180^{\circ}-C)=\dfrac{7\sin 41^{\circ}}{5.12856682...}\)

\(180^{\circ}-C=\sin^{-1}\left(\dfrac{7\sin 41^{\circ}}{5.12856682...}\right)\)

\(180^{\circ}-C=63.5672442...^{\circ}\)

\(C=180^{\circ}-63.5672442...^{\circ}\)

\(C=116.432755...^{\circ}\)

\(C=116^{\circ}\)

\(\hrulefill\)

Additional notes:

I have used the exact measure of side BC in my calculations for angles B and C. However, the results will be the same (when rounded to the nearest degree), if you use the rounded measure of BC in your angle calculations.

The value of fraction 1 1/4 - 5/6 equals 5/12.

To subtract the fractions 1 1/4 and 5/6, we need to find a common denominator. The common denominator for 4 and 6 is 12.

First, convert 1 1/4 to an improper fraction:

1 1/4 = (4/4) + (1/4) = 5/4

Next, convert 5/4 to an equivalent fraction with a denominator of 12:

5/4 * 3/3 = 15/12

Now, subtract the fractions:

15/12 - 5/6

Since the denominators are now the same, we can subtract the numerators directly:

15/12 - 5/6 = (15 - 10) / 12 = 5/12

Therefore, 1 1/4 - 5/6 equals 5/12.

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Using the radius of the Ferris wheel and the angle between the two positions, the time spent on the ride when they're 28 meters above the ground is 12 minutes

The radius of the Ferris wheel is 30 / 2 = 15 meters.

The highest point on the Ferris wheel is 15 + 4 = 19 meters above the ground.

The time spent higher than 28 meters is the time spent between the 12 o'clock and 8 o'clock positions.

The angle between these two positions is 180 degrees.

The time spent at each position is 10 minutes / 360 degrees * 180 degrees = 6 minutes.

Therefore, the total time spent higher than 28 meters is 6 minutes * 2 = 12 minutes.

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Answer:

B

Step-by-step explanation:

Substitute x =7 in each inequality

In A.

\( - 4 + 3 \times 7 < 17 \\ - 4 + 21 < 17 \\ \\ - 17 < 17\)

Which is not true

B.

\( - 7 - 2 \times 7 > 1 \\ - 7 - 14 > 1 \\ - 21 > 1\)

Which is not true.

C.

\(5 - 7 \leqslant 9 \\ - 2 \leqslant 9\)

Which is true

D.

\(1 - 4 \times 7 \geqslant 25 \\ 1 - 28 \geqslant 25 \\ - 27 \geqslant 25 \\ \)

Which is not true

so option C is the right answer

Answer:

(5,7.5)

Step-by-step explanation:

Students should refer to the midpoint formula to find the midpoint of AB.

A (3,5)

B (7,10)

Midpoint formula: X₁ + X₂ / 2, Y₁+Y₂ / 2

Equation: 7+3 / 2, 10+5 /2

1/2= 2

17/2 = 7.5

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Answer:

(a) Sample Space

\(S = \{0,1,2,3\}\)

(b) PMF

\(\begin{array}{ccccc}x & {0} & {1} & {2} & {3} \ \\ {P(x)} & {1/3} & {1/6} & {1/6} & {1/3} \ \end{array}\)

(c) CDF

\(\begin{array}{ccccc}x & {0} & {1} & {2} & {3} \ \\ {F(x)} & {1/3} & {1/2} & {2/3} & {1} \ \end{array}\)

Step-by-step explanation:

Solving (a): The sample space

From the question, we understand that at most 3 cars will be repaired.

This implies that, the number of cars will be 0, 1, 2 or 3

So, the sample space is:

\(S = \{0,1,2,3\}\)

Solving (b): The PMF

From the question, we have:

\(P(2) = P(1)\)

\(P(0) = P(3)\)

\(P(1\ or\ 2) = 0.5 * P(0\ or\ 3)\)

\(P(1\ or\ 2) = 0.5 * P(0\ or\ 3)\) can be represented as:

\(P(1) + P(2) = 0.5[P(0) + P(3)]\)

Substitute \(P(2) = P(1)\) and \(P(0) = P(3)\)

\(P(1) + P(1) = 0.5[P(0) + P(0)]\)

\(2P(1) = 0.5[2P(0)]\)

\(2P(1) = P(0)\)

\(P(0)= 2P(1)\)

Also note that:

\(P(0) + P(1) + P(2) + P(3) = 1\)

Substitute \(P(2) = P(1)\) and \(P(0) = P(3)\)

\(P(0) + P(1) + P(1) + P(0) = 1\)

\(2P(1) + 2P(0) = 1\)

Substitute \(P(0)= 2P(1)\)

\(2P(1) + 2*2P(1) = 1\)

\(2P(1) + 4P(1) = 1\)

\(6P(1) = 1\)

Solve for P(1)

\(P(1) = \frac{1}{6}\)

To calculate others, we have:

\(P(2) = P(1)\)

\(P(2) = P(1) = \frac{1}{6}\)

\(P(0)= 2P(1)\)

\(P(0) =2 * \frac{1}{6}\)\(P(0) =\frac{1}{3}\)

\(P(3) = P(0) =\frac{1}{3}\)

Hence, the PMF is:

\(\begin{array}{ccccc}x & {0} & {1} & {2} & {3} \ \\ {P(x)} & {1/3} & {1/6} & {1/6} & {1/3} \ \end{array}\)

See attachment (1) for histogram

Solving (c): The CDF ; F(x)

This is calculated as:

\(F(x) = P(X \le x) =\sum\limit^{3}_{x_i \le x} P(x_i)\)

For x = 0;

We have:

\(P(X \le 0) = P(0)\)

\(P(X \le 0) = 1/3\)

For x = 1

\(P(X \le 1) = P(0) + P(1)\)

\(P(X \le 1) = 1/3 + 1/6\)

\(P(X \le 1) = 1/2\)

For x = 2

\(P(X \le 2) = P(0) + P(1) + P(2)\)

\(P(X \le 2) = 1/3 + 1/6 + 1/6\)

\(P(X \le 2) = 2/3\)

For x = 3

\(P(X \le 3) = P(0) + P(1) + P(2) + P(3)\)

\(P(X \le 3) = 1/3 + 1/6 + 1/6 + 1/3\)

\(P(X \le 3) = 1\)

Hence, the CDF is:

\(\begin{array}{ccccc}x & {0} & {1} & {2} & {3} \ \\ {F(x)} & {1/3} & {1/2} & {2/3} & {1} \ \end{array}\)

See attachment (2) for histogram

The  x and y-intercept of the equation [8x - 9y = 15] are ( 15/8, 0 ) and ( 0, -5/3 ) respectively.

Given the equation;

8x - 9y = 15

First, we find the x-intercepts by simply substituting 0 for y and solve for x.

8x - 9y = 15

8x - 9(0) = 15

8x = 15

Divide both sides by 8

8x/8 = 15/8

x = 15/8

Next, we find the y-intercept by substituting 0 for x and solve for y.

8x - 9y = 15

8(0) - 9y = 15

- 9y = 15

Divide both sides by -9

- 9y/(-9) = 15/(-9)

y = -15/9

y = -5/3

We list the intercepts;

x-intercept: ( 15/8, 0 )

y-intercept: ( 0, -5/3 )

Therefore, the  x and y-intercept of the equation [8x - 9y = 15] are ( 15/8, 0 ) and ( 0, -5/3 ) respectively.

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Answer: C) Closed circle at -5; shading to the left

The given inequality \(3x \le -15\) solves to \(x \le -5\) when we divide both sides by 3. The inequality sign does not change because we didn't divide both sides by a negative number.

The graph has a closed circle at -5 to include this value as part of the solution set. Shading is to the left to indicate values smaller than -5. Overall, the graph says "x can be -5 or smaller". If you wanted to exclude -5, you would say \(x < -5\) and use an open circle; but that's not the case here.

Answer:

C) Closed circle at -5; shading to the left

Step-by-step explanation:

Answer:

mean: 14

median: 15

mode: 6, 15, 18

Step-by-step explanation:

For the mean, you add up all the numbers and divide by the number of numbers there are. There are 7 numbers here, so add and divide by 7.

For the median, you line the numbers up from least to greatest.

6, 6, 15, 15, 18, 18, 20

and find the middle number, which is 15.

For the mode, you have to find the number that repeats the most. For this set of numbers, it's 15, 18, and 6. Hope that helps!

Answer:

Mean  = 14

Median = 15

Mode = 6, 18, 15

Step-by-step explanation:

I really hope this helps you. I worked these out however I looked up and did research. I checked out the website too. Check out (calculator soup)

It gives you the answers and explains all the steps.

Answer:

The first one means everything in the bracket is squared even the sign while the second one only the number is squared.

Step-by-step explanation:

Therefore answer for (-5)^(2) is 25

While for -5^2 is -25

Hope that helps

Answer:

x = 7

Step-by-step explanation:

(5 + x)(5) = (6 + 4)(6) => secant-secant theorem

5*5 + 5*x = (10)(6)

25 + 5x = 60

Subtract 25 from each side

25 + 5x - 25 = 60 - 25

5x = 35

5x/5 = 35/5

x = 7

Answer:

C) More than 1 solution

Step-by-step explanation:

\(3y-12x=18\\2y-8x=12\\\\3(y-4x)=18\\2(y-4x)=12\\\\y-4x=6\\y-4x=6\\\\6=6\)

Therefore, since both sides will always be equal to each other, then there are infinitely many solutions (so C is the best choice)

Answer:

12 hours

Step-by-step explanation:

the culture was first 300

the it grew to 500 in 4 hours

so that means it grew by 200 in 4 hours

and the triple it size is 900

you say;

if 200 =4 hours what about 600

=12 hours

Answer:

Um theres no atachment...

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Just stating the temperature, hope this helps

Answer:

temperature of 10 degrees

Step-by-step explanation:

every other option is negative, like owing $10 means you will have 10 less dollars, a hole 10 feet deep is 10 feet under the ground's surface, so they would be represented by -10. A temperature of 10 degrees is the only positive option :)