The average of eight different numbers is 5. If 1 is added to the largest number, what is the resulting average of the eight numbers?

Answer:

-6

Step-by-step explanation:

(3 x 6) - (3 x 14)

= 18 - 42

= -24

-24/4

= -6

Answer:

√43

Step-by-step explanation:

Implement the Pythagorean formula to solve for sides of a right triangle: a^2 + b^2 = c^2, where "a" and "b" are the legs and "c" is the hypotenuse.

a = √6 and c = 49

√6^2 + b^2 = 49

6 + b^2 = 49

b^2 = 43

b = √43

Answer:

The square root of 43

Step-by-step explanation:

 I did this in class the other day

Answer:

There are less yellow marbles than red

:)

Step-by-step explanation:

Answer:

There are less yellow marbles than red marbles.

Step-by-step explanation:

The first ten terms of the sequence are 1, 2, 8, 33, 148, 765, 4626, 32431, 259512, 2335689.

The n-th term of the sequence is aₙ ₊ ₁ = (aₙ + 1) · n.

A sequence is a set of elements generated by at least one condition, usually an equation. In this case, the sequence is generated by a recurrence formula:

a₁ = 1, aₙ ₊ ₁ = (aₙ + 1) · n        (1)

The first ten terms of the sequence are:

n = 1

a₂ = (a₁ + 1) · 1

a₂ = 2

n = 2

a₃ = (a₂ + 2) · 2

a₃ = 4 · 2

a₃ = 8

n = 3

a₄ = (a₃ + 3) · 3

a₄ = 11 · 3

a₄ = 33

n = 4

a₅ = (a₄ + 4) · 4

a₅ = 37 · 4

a₅ = 148

n = 5

a₆ = (a₅ + 5) · 5

a₆ = 153 · 5

a₆ = 765

n = 6

a₇ = (a₆ + 6) · 6

a₇ = (765 + 6) · 6

a₇ = 4626

n = 7

a₈ = (a₇ + 7) · 7

a₈ = 4633 · 7

a₈ = 32431

n = 8

a₉ = (a₈ + 8) · 8

a₉ = 32439 · 8

a₉ = 259512

n = 9

a₁₀ = (a₁₀ + 9) · 9

a₁₀ = 259521 · 9

a₁₀ = 2335689

To learn more on sequences: https://brainly.com/question/21961097

#SPJ1

To find the distance above the ground at which the tack is, we need to calculate the vertical displacement of the front wheel when the tack was picked up.

First, let's determine the circumference of the front wheel. The circumference of a circle is given by the formula C = πd, where C is the circumference and d is the diameter. Given that the diameter is 26 inches, we can calculate the circumference:

C = π × 26

C ≈ 81.64 inches

This means that for every complete revolution of the wheel, Devon travels a distance of approximately 81.64 inches.

Next, we need to determine how many complete revolutions the front wheel made as Devon rolled another 100 feet (1200 inches). Since the circumference of the wheel is 81.64 inches, we can divide 1200 inches by 81.64 inches to find the number of revolutions:

1200 / 81.64 ≈ 14.68 revolutions

Now, we know that the tack was picked up after one full revolution. Therefore, out of the 14.68 revolutions, 13 complete revolutions have occurred. The tack is located at the point where the 14th revolution starts.

Since each revolution covers a distance equal to the circumference of the wheel, the vertical displacement of the tack is the height of the wheel, which is the radius of the wheel. The radius is half the diameter, so in this case, it is 26 / 2 = 13 inches.

Therefore, the tack is located 13 inches above the ground.

For more such questions on distance

https://brainly.com/question/26550516

#SPJ8

Answer:

B

Step-by-step explanation:

The sum of all angles in a triangle must equal 180 degrees. Knowing this, you can find the values of p and q.

p

80 + 20 + p = 180

100 + p = 180

100 - 100 + p = 180 - 100

p = 80

q

55 + 45 + q = 180

100 + q = 180

100 - 100 + q = 180 - 100

q = 80

Conclusion

That means that p & q are equal to one another.

I hope this helps! Have a great day!

The thing that's true about the values p and q is that p = q.

The total sum of the angles in a triangle is 180°.

From the first triangle, the value of p will be:

80° + 20° + p = 180°

100° + p = 180°

p = 180° - 100°

p = 80°

From the second triangle, the value of q will be:

55° + 45° + q = 180°

100° + q = 180°

q = 180° - 100°

q = 80°

Therefore, p = q.

Read related link on:

https://brainly.com/question/16020981

Answer:

a.y=13/16x+37/8

b.y=3/2x+6

c.y=3/4x+9/2

d.x=-2

Step-by-step explanation:

All lines must pass through (-2,3)

a. The slope must be 13/16;

y=13/16x+b, SInce it must pass through (-2,3), plug in -2 as the x-value and 3 as the y-value

3=13/16(-2)+b, solve for b.

24/8=-13/8+b

37/8=b

y=13/16x+37/8

b, It must be parallel to the line 3x-2y=2; first, find the slope by converting to y=mx+b

3x-2y=2

-2y=-3x+2

y=3/2x-1, Parallel lines have the same slope so a line parallel to 3x-2y=2 and passing through (-2,3) will have a slope of 3/2.

Plug in (-2,3) to find the b-value again.

(3)=3/2(-2)+b

3=-3+b

6=b

y=3/2x+6

c. It must have a line perpendicular to 4x+3y=6.  Again like in b, find the slope.

y=-4/3+2, the slope is -4/3.

Now, perpendicular lines have the opposite inverse slopes which means that you add a negative sign and flip the numerator and denominator

-(-3/4), this is just 3/4

Ok, the slope of the line is 3/4, plug in (-2,3) to find the b-value again.

(3)=3/4(-2)+b

6/2=-3/2+b

9/2=b

y=3/4x+9/2

d. The line is paralell to the y-axis.

This just means that the line is vertical. The line has no slope.

The vertical line that passes through the x-value -2 is x=-2

x=-2

The fraction of the money the youngest boy does get is 5x/22.

Given that, three brothers share some money. The oldest 5/11 of the money.

Let the total money be x.

Share of oldest boy = 5/11 ×x

= 5x/11

Remainder = x-5x/11

Remainder = 6x/11

The next boy gets 7/12 of the remainder.

Share of next boy = 7/12 × 6x/11

= 7x/22

Share of youngest boy = 6x/11 - 7x/22

= (12x-7x)/22

= 5x/22

Therefore, the fraction of the money the youngest boy does get is 5x/22.

To learn more about the fraction visit:

brainly.com/question/1301963.

#SPJ1

Rotations and reflections can produce symmetry but translations cannot because the shape or size is unchanged in translation.

In geometry, rotational symmetry, also known as radial symmetry, is the quality that a shape exhibits when it looks the same after a partial turn rotation. The degree of rotational symmetry of an object is the number of possible orientations in which it appears exactly the same for each revolution.

The act of flipping an object across a line without affecting its size or shape is known as reflection. An item is rotated about a fixed point without changing its size or shape. Sliding a figure in any direction without changing its size, shape, or orientation is referred to as translation.

The symmetry element is made up of all the points that remain in the same position after the symmetry operation is done. The line of points that remain in the same place in a rotation constitutes a symmetry axis; in a reflection, the points that remain unchanged produce a plane of symmetry.

Learn more about symmetry in:

https://brainly.com/question/1002723

#SPJ1

Answer:

1. 6

2. 15

3. 11

Step-by-step explanation:

Answer:

Outside, as the distance between the point and the center of the circle is more than the radius.

Step-by-step explanation:

Equation of a circle:

The equation of a circle has the following format:

\((x-x_0)^2 + (y-y_0)^2 = r^2\)

In which \((x_0,y_0)\) is the center and r is the radius.

Testing if a point is inside the circle:

Point (x,y), we replace in the equation. If it is less than the radius squared(in this case, 62), it is in.

In this question:

Point (-3,-5). So

\((-3+7)^2 + (-5-2)^2 = 4^2 + (-7)^2 = 16 + 49 = 65\)

The square distance of the point to the center is of 65, which is more than the square of the radius, meaning that the point is outside the circle.

Answer:

Outside

Step-by-step explanation:

The dimensions of the rectangle are 4 ft by 5 ft.

Given that the length of a rectangle is 3 ft less than twice the width, and the area of the rectangle is 44 sq.ft. We have to find the dimensions of the rectangle. Let's consider the width of the rectangle as x ft.Length of the rectangle = (2x - 3) ftArea of the rectangle = Length x Width44 = (2x - 3) x x44 = 2x^2 - 3x44 = x (2x - 3)2x^2 - 3x - 44 = 0To solve for x, we will factorize the equation by splitting the middle term.2x^2 - 8x + 5x - 20 = 0Factorize2x(x - 4) + 5(x - 4) = 0(x - 4) (2x + 5) = 0x = 4 ft (since the width of a rectangle can't be negative)or 2x = -5This gives us an invalid value, so x = 4 ftNow that we have the width of the rectangle, we can calculate the length as follows:Length of the rectangle = (2x - 3) ftLength of the rectangle = (2 * 4) - 3Length of the rectangle = 8 - 3Length of the rectangle = 5 ft.

For more such questions on rectangle

https://brainly.com/question/28049884

#SPJ8

Answer:

\(\frac{4}7\)

Step-by-step explanation:

Just as a reminder, to find the ratio of 2 numbers, you divide the first by the second, and to divide 2 fractions, you multiply the dividend by the reciprocal of the divisor.

In this case, that would be:

\(\frac{\frac{4}{5}}{\frac{7}{5}}\)

\(= \frac{4}{5} \cdot\frac{5}{7}\)

=\(\frac{4}7\)

I hope this helped you.

Answer:

The null and alternative hypothesis can be written as:

\(H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2< 0\)

Step-by-step explanation:

This is a hypothesis test for the difference between proportions.

The claim is that the proportion of 18- to 34-year-old Americans that own a cell phone is less than the proportion of 35- to 49-year-old Americans.

This claim will be reflected in the alternnative hypothesis, that will state that the population proportion 1 (18 to 34) is significantly smaller than the population proportion 2 (35 to 49).

On the contrary, the null hypothesis will state that the population proportion 1 is ot significantly smaller than the population proportion 2.

Then, the null and alternative hypothesis can be written as:

\(H_0: \pi_1-\pi_2=0\\\\H_a:\pi_1-\pi_2< 0\)

The significance level is assumed to be 0.05.

The sample 1, of size n1=200 has a proportion of p1=0.63.

\(p_1=X_1/n_1=126/200=0.63\)

The sample 2, of size n2=175 has a proportion of p2=0.68.

\(p_2=X_2/n_2=119/175=0.68\)

The difference between proportions is (p1-p2)=-0.05.

\(p_d=p_1-p_2=0.63-0.68=-0.05\)

The pooled proportion, needed to calculate the standard error, is:

\(p=\dfrac{X_1+X_2}{n_1+n_2}=\dfrac{126+119}{200+175}=\dfrac{245}{375}=0.653\)

The estimated standard error of the difference between means is computed using the formula:

\(s_{p1-p2}=\sqrt{\dfrac{p(1-p)}{n_1}+\dfrac{p(1-p)}{n_2}}=\sqrt{\dfrac{0.653*0.347}{200}+\dfrac{0.653*0.347}{175}}\\\\\\s_{p1-p2}=\sqrt{0.001132+0.001294}=\sqrt{0.002427}=0.049\)

Then, we can calculate the z-statistic as:

\(z=\dfrac{p_d-(\pi_1-\pi_2)}{s_{p1-p2}}=\dfrac{-0.05-0}{0.049}=\dfrac{-0.05}{0.049}=-1.01\)

This test is a left-tailed test, so the P-value for this test is calculated as (using a z-table):

\(\text{P-value}=P(z<-1.01)=0.1554\)

As the P-value (0.1554) is bigger than the significance level (0.05), the effect is not significant.

The null hypothesis failed to be rejected.

There is not enough evidence to support the claim that the proportion of 18- to 34-year-old Americans that own a cell phone is less than the proportion of 35- to 49-year-old Americans.

Answer:

  f(x +h) = 4x² +4h² +8xh +5x +5h +3

  (f(x+h) -f(x))/h = 4h +8x +5

  f'(x) = 8x +5

Step-by-step explanation:

For f(x) = 4x² +5x +3, you want the simplified expression f(x+h), the difference quotient (f(x+h) -f(x))/h, and the value of that at h=0.

Put (x+h) where h is in the function, and simplify:

  f(x+h) = 4(x+h)² +5(x+h) +3

  = 4(x² +2xh +h²) +5x +5h +3

  f(x +h) = 4x² +4h² +8xh +5x +5h +3

The difference quotient is ...

  (f(x+h) -f(x))/h = ((4x² +4h² +8xh +5x +5h +3) - (4x² +5x +3))/h

  = (4h² +8xh +5h)/h

  (f(x+h) -f(x))/h = 4h +8x +5

When h=0, the value of this is ...

  f'(x) = 4·0 +8x +5

  f'(x) = 8x +5

__

Additional comment

Technically, the difference quotient is undefined at h=0, because h is in the denominator, and we cannot divide by 0. The limit as h→0 will be the value of the simplified rational expression that has h canceled from every term of the difference. This will always be the case for difference quotients for polynomial functions.

<95141404393>

Answer:

Step-by-step explanation:

Given the amount of detectors sold in the current year = 350

percent increment = 105%

To get the amount sold the previous year, we will use the expression;

(105% of x) + x =  350

1.05x = 350 + x

1.05x + x = 350

2.05x = 350

x = 350/2.05

x = 170.7

Hence the amount sold the previous year was 170.7 detectors

Answer:

y=3x-19 (start at -19 on the x axis and move one to the right and 3 up continuously, shown by using an arrow)

Step-by-step explanation:

You need to get the y by itself so first distribute the 3 to get y + 4 = 3x-15. Then subtract the 4 to get y = 3x - 19.

Answer:

\(x = 1.2\)

See Attachment for Graph

Step-by-step explanation:

Given

\(y = -x + 4\)

\(y = 4x - 2\)

Required

Determine the point of intersection

To do this, we simply equate both expressions of y

i.e.

\(-x + 4 = 4x - 2\)

Solve for x

\(-x - 4x = - 2 - 4\)

\(-5x = -6\)

Divide through by -5

\(x = \frac{-6}{-5}\)

\(x = \frac{6}{5}\)

\(x = 1.2\)

Hence, the point of intersection is 1.2

Answer:

DC

Step-by-step explanation:

It has through multiply points, and angular turns, causing it to not be a straight line.

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

0.61204

Step-by-step explanation:

μ = 125 ; σ = 16 ; n = 64

Probability that mean will be between 122.4 and 126.1

Z = (x - μ) / σ/sqrt(n)

x = 122.4

Z = (122.4 - 125) ÷ 16/sqrt(64)

Z = - 2.6 ÷ 2 = - 1.3

P(Z < - 1.3) = 0.0968

x = 126.1

Z = (126.1 - 125) ÷ 16/sqrt(64)

Z = 1.1 ÷ 2 = 0.55

P(Z < 0.55) = 0.70884

P(Z < 0.55) - P(Z < - 1.3)

0.70884 - 0.0968

= 0.61204

Answer:

Nico rounded 15.32 to 15.00 and 4.3 pounds to 3 before dividing

This has to be it for it to equal 5.00

Step-by-step explanation:

Hopefully I helped answer your question

Brainliest plz

Answer:

No,No,No,Yes,No,Yes

Step-by-step explanation:

Answer:

uhhh wheres the question

Step-by-step explanation:

I can't see what the question is, everything appears blank ... Sorry

answer is there a photo or something we can see

Step-by-step explanation:

because just saying plot 5 doesn't make sense so we probably need a photo or more information

Answer:

D. The days they were asked to sleep at the clinic were random. Hope it helps!~

(Sorry if you get it wrong or I got it wrong-)

~The Confuzzeled homan