Please help please please please please

The point estimate for the mean mpg of hybrid cars is 33 mpg.

A Confidence interval has two bounds, a lower bound and an upper bound.

A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the bounds.

In the given problem, we have that:

Lower bound = 29

Upper bound = 37

Now, the point estimate will be:

(29+37)/2 = 33

Therefore, the point estimate for the mean mpg of hybrid cars is 33 mpg.

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Answer: Marvin walks a total of 4 + 3 + 4 = 11 blocks.

To find how far he is from his starting point, we need to use the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.

In this case, the 4 blocks north and 3 blocks east form the legs of a right triangle, and the distance Marvin is from his starting point is the hypotenuse.

So we can calculate it as follows:

distance = sqrt(4^2 + 3^2) = sqrt(16 + 9) = sqrt(25) = 5

Therefore, Marvin is 5 blocks from his starting point.

Step-by-step explanation:

There are 2 tablespoons in an ounce. So for 2 ounces, you will need 4 tablespoons, for 4 ounces 8 tablespoons, and so on.

A tablespoon is a unit of volume measurement in United States, and some other countries. It is equal to approximately 15 milliliters (0.51 fluid ounces). One tablespoon can be further divided into three teaspoons, meaning that one tablespoon is equal to three teaspoons.

In the United States, one tablespoon is equal to 0.5 ounce, which is equal to 14.3 grams. This is slightly different in the UK, where one tablespoon is equal to 0.6 ounces (which is equal to 17.7 grams). To convert tablespoons to ounces, you can use the following formula is 1 tablespoon = 0.5 ounces.

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B answer

Step-by-step explanation:

b is the asnwwr because 6+5=11, 3+5=8, 0+5=5

Answer:

Hope it is correct :) :)

Answer:

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

Each coordinate of the midpoint is the average of endpoints:

Therefore M is (13, 14).

Answer:

D

Step-by-step explanation:

because the new number is changing to a new and all old is ready.

Answer:

D

Step-by-step explanation:

To solve this question we can use the area formula for an octagon.

It is as follows:

A=2(1+√2)a^2

where "A" is the total area and "a" is the length of a side.

Plug in our side length a=10.4

A=2(1+√2)10.4^2

≈522.24268

Alternatively, you can split the octagon into 8 equal triangles.

The base of each triangle would be 10.4 and the height would be 12.5 since opposite sides are 25 feet apart. (25/2)

The area of a triangle would then be:

A=1/2bh

where "b" is base and "h" is height

A=125*10.4*1/2

=65

Since there are 8 we multiply that by 8 for the area of an octagon

65*8=520

The area of the octagon base is 520 square feet.

I'll use this value to do my calculations as it is more exact.

Now, using this area, we need to find the volume of the pool we are meant to fill.

To do this, we simply multiply the area of the base by the height.

520*3=1560

Now, we know that the volume of the pool is 1560 cubic feet.

Each cubic foot takes 7.5 gallons to fill.

1560*7.5=11700

Therefore, the pool takes 11700 gallons of water to fill.

point B is located in quadrant II (option B)

Point A: (6, 3) = (x, y)

reflection of point A across the y axis:

The x coordinate will be negative and the y coordinate will remain the same

reflection of point A across the y axis = (-6, 3)

Attaching the graph showing the point after reflection:

Since point B is the reflection of point A.

Hence, point B is located in quadrant II (option B)

Answer:

2,860cm³

Step-by-step explanation:

just multiply all of the numbers.

The probability that the first two marbles will be red and the third one will be blue is 35/2448

The probability of picking a red marble on the first draw is 5/18, and given that the first marble was red, the probability of picking another red marble on the second draw is 4/17 (since there are now only 4 red marbles left out of 17 total marbles).

Finally, given that the first two marbles were red, the probability of picking a blue marble on the third draw is 7/16 (since there are now 7 blue marbles left out of 16 total marbles).

To find the overall probability of this sequence of events, we multiply the probabilities of each individual event.

Therefore, the probability of picking two red marbles and one blue marble in this specific order is:

(5/18) × (4/17)× (7/16)

= 0.0285

Therefore, the probability of this specific sequence of events is 0.0285

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Answer:

60

Step-by-step explanation:

I hope this is correct, if it is wrong please feel free to let me know and I will fix it. I'm sorry in advance if it is incorrect.

Answer:

- 36

Step-by-step explanation:

(3x)² (y) ← substitute x = 2, y = - 1 into the expression

= (3(2))² (- 1)

= (6)² × - 1

= 36 × - 1

= - 36

x² + y² = 6xy

or, (x + y)² - 2xy = 6xy

or, (x + y)² = 8xy

or, (x + y)² = 2³xy

Taking (log) in both sides, we get

log (x + y)² = log (2³xy)

or, 2 log (x + y) = log (2³) + logx + logy

or, 2 log (x + y) = 3 log2 + logx + logy

there hopefuly it help!!!

Answer:

28.27

Step-by-step explanation:

Area of a circle A≈ πr2

3.14 x 3^2 ≈ 28.27

Answer:

see explanation

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , thus

w = 180° - (90 + 31) °= 180° - 121° = 59°

y = 59° ( vertical angle to w )

w and v are adjacent angles, thus

w + v = 180°

59° + v = 180° ( subtract 59° from both sides )

v = 121°

x = 121° ( vertical angle to v )

Thus

v = 121°, w = 59°, x = 121°, y = 59°

Answer:  50, 75 and 100  (2:3:4) for a total of 225

Step-by-step explanation:

2+3+4 = 9

Each can be expressed as a fraction:

2/9

3/9

4/9

(2/9 + 3/9 + 4/9 = 1)

2/9 * 225 =  50

3/9 * 225 =   75

4/9 * 225 =  100

                   225  

The answer can be stated as, " When writing a decimal number that is less than 1, one must apply the trailing zero rule."

Significant figures are the number of digits placed in a number that are required to indicate the measurement of a quantity with reliability.

Significant figures have following rules,

The number of zeros lying between any two numbers are significant. For example in 301 the zero between 3 and 1 are significant.

The number of zeros lying at the end of a decimal are significant. For example, in 0.300 there zeros after 3 are significant.

A decimal number can be written as in two parts.

The first part that comes before decimal is integer.

And, the second part are the equivalent part of the order of 10.

In order to write a decimal number less than one, the number before decimal is zero.

And, the numbers coming after it are the significant figures.

Thus, the trailing zeros before a digit and decimal are significant.

Hence, trailing zero rule can be applied for the given case.

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The  given equation x=\(y^{z}\), y=\(z^x}\) , z=\(x^{y}\)is: b . xyz=1.

To solve this system of equations we have to  substitute the given equations into one another:

First equation:

x = \(y^{z}\)

Substitute  into the second equation:

\((y^{z})^x\) = \(y^({zx})\)

Taking the logarithm of both sides:

log(y) = zx * log(y)

Simplify

1 = zx

Substitute the value of z into the third equation:

\(z = (x^y) = (y^z)^y = y^(^z^y).\)

Take the logarithm of both sides:

log(z) = zy * log(y)

Simplify

1 = zy

From the first equation x =\(y^z,\) 1 = zx and 1 = zy.

Multiply the equations

1 * 1 = zx * zy,

1 = \(z^2\) * xy,

xyz = 1

Therefore the correct option is b.

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Answer:

13.7

Step-by-step explanation:

Hope this helps

Step-by-step explanation:

Easy steps!

The hypotenuse of 4th triangle be \(2\sqrt{2}\\\)

The hypotenuse of 100th triangle be \(2\sqrt{26}\\\)

The hypotenuse of nth triangle be \(\sqrt{4+n}\\\)

Given, that Triangles be drawn according to the spiraling pattern

let hypotenuse of 1st triangle be \(h_{1}\), hypotenuse of 2nd triangle be \(h_{2}\) and so on.

as, we know Pythagoras theorem i.e.

\(hypotenuse^{2} = base^{2} + perpendicular^{2}\)

In 1st triangle,

base = 2 units and perpendicular = 1 unit

On applying Pythagoras theorem in 1st triangle, we get

\(h_{1}^{2}=2^2 +1^2\)

\(h_{1}^2=5\\ h_{1} = \sqrt{5}\) ... (1)

Now, hypotenuse of 1st triangle will be the base of 2nd triangle

so, In 2nd triangle,

base = \(\sqrt{5}\) units and perpendicular = 1 unit

On applying Pythagoras theorem in 2nd triangle, we get

\(h_{2}^2 = \sqrt{5}^2 + 1^2\)

\(h_{2}^2=5+1\\h_{2}^2=6\\ \\h_{2}=\sqrt{6} \\\)... (2)

Now, observing Eq (1) and Eq (2) we can define a rule to find the hypotenuse of nth triangle i.e.

\(h_{n}=\sqrt{4+n}\)

So, the hypotenuse of the 4th triangle be

\(h_{4}=\sqrt{4+4}\\ h_{4}=\sqrt{8}\\ h_{4}=2\sqrt{2}\)

Also, the hypotenuse of the 100th triangle be

\(h_{100}=\sqrt{100+4}\\ h_{100}=\sqrt{104}\\ h_{100}=2\sqrt{26}\)

The hypotenuse of 4th triangle be \(2\sqrt{2}\\\)

The hypotenuse of 100th triangle be \(2\sqrt{26}\\\)

The hypotenuse of nth triangle be \(\sqrt{4+n}\\\)

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There are 12 cellists

The angles of the given triangle are 136°,24°, and 20°.

Given that a triangle has angles as  4y°,(y-10)°, and 20° and asked to find out the angles of the given triangle

The sum of the angles of the triangle =180°

⇒4y°+(y-10)° + 20°=180° { adding the given angles and equating it to 180° as the sum of the angles in the triangle is 180°}

⇒5y+10=180°.{added all the given angles and equated it to 180°}

⇒5y=170°

⇒y=34°

⇒4y=136°, (y-10)°=24° and 20°

Therefore the angles of the given triangle are  136°,24°, and 20°.

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Answer:

So what’s the answer?

Step-by-step explanation:

Answer:

(2,4)

Step-by-step explanation: