If the sum of six consecutive odd integers is 480, what is the smallest of the six integers

Answer:

13

Step-by-step explanation:

43 - 30 = 13

q = 13

Answer:

q=13

Step-by-step explanation:

first, subtract 30 from both sides of the equation

30-30+q=43-30

you should be left with q=13

that's your answer

Answer: C 0.22,

Step-by-step explanation:

We have a normal sampling distribution because we expect at least 10 successes and 10 failures per sample

Using the Central Limit Theorem, it is found that the best approximation of the sampling distribution of p is that it is approximately normal, with mean of 0.22 and standard deviation of 0.0586.

In this problem:

Then, [tex]s = \sqrt{\frac{0.22(0.78)}{50}} = 0.0586[/tex]

The sampling distribution of p is approximately normal, with mean of 0.22 and standard deviation of 0.0586.

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Answer:

[tex]\sin 117^{\circ} \approx 0.8910[/tex]

Step-by-step explanation:

Sine reaches upper bound when [tex]\theta = 90^{\circ}[/tex] and then decreases until reaches lower bound when [tex]\theta = 180^{\circ}[/tex]. By symmetry, we find the following fact:

[tex]\sin 117^{\circ} = \sin (90^{\circ}+27^{\circ}) = \sin (90^{\circ}-27^{\circ})[/tex]

[tex]\sin 117^{\circ} = \sin 63^{\circ}[/tex]

By information form table we find that:

[tex]\sin 63^{\circ} \approx 0.8910[/tex]

Therefore, we conclude that value of the given angle is:

[tex]\sin 117^{\circ} \approx 0.8910[/tex]

Answer:

he can run 24240 kilometers

Step-by-step explanation:

Answer:

5x + 3y = 12

Step-by-step explanation:

We are given the line 5x + 3y = 6 and are to find the equation of a new line that is parallel to this one and goes through (3, -1).

Parallel lines have the same slope.  The slope of the given line is determined by the coefficients 5 and 3 visible above.  Therefore, the form of the equation of the new line is 5x + 3y = C, where we must determine the value of C.

Substitute 3 for x and -1 for y in 5x + 3y = C, obtaining:  5(3) + 3(-1) = C.  Then 15 - 3 = 12 is the constant value, and the equation of the 'new line' is

5x + 3y = 12

Answer:

I hope im right so so sorry if im not

Step-by-step explanation:

first find area

1/2 bh

1/2 of base times height

bh=(9)(12)=108

if there is a right angle then that is 90°

so do 108° -90° which is 18°

So your answer is 18°

The solution is, the value of x = 36.87.

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

here, we have,

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

here, we have,

from the given figure,

we get,

height = 9

base = 12

by, using the trigonometric relations,

we get,

tan x = 9/12

or, tan x = 0.75

or, x = 36.87

Hence, The solution is, the value of x = 36.87.

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Answer: C

Step-by-step explanation: In geometry, a transversal is a line that passes through two lines in the same plane at two distinct points.

Answer: the chances are 5 out of 15 so in 30 draws she would draw 10 green hope it helps

Answer:

s=89

Step-by-step explanation:

Answer:

t = 5.79

Step-by-step explanation:

Given the regression line equation :

Cˆ=182+2.2A

Null ; H0:β=0

Alternative ; Ha:β≠0

Comparing with the general for of a linear regression equation :

y = bx + c

b =slope Coefficient ; c = intercept

b = 2.2 (from equation given)

The test statistic :

t = (Slope, b - null, β) / standard error of slope, E

(b - β) / E

(2.2 - 0) / 0.38

t = 2.2 / 0.38

t = 5.7894736

t = 5.79

Answer:

6 litres

Step-by-step explanation:

9:3=3

2×3=6

therefore the answer is 6.

Answer:

Привет! Кто-нибудь читал Криспину крест ведущего? Если да, то может ли кто-нибудь дать мне представление о том, как он изменился в этой истории! Спасибо за ваше время!

Step-by-step explanation:

Answer:

The slope of the line is 1

Step-by-step explanation:

the formula for slope is

y¹-y²

-----

x¹-x²

y¹ and x¹ can be either of the points.

So let's make it (6,5)

This means that y² and x² will be (8,7)

The equation will be

5-7d -2

----- = ---

6-8 -2

which can be simplified to 1 by divied both by -2

Answer:

[tex]Area = 8[/tex]

Step-by-step explanation:

Given

The attached figure

Required

Determine the area

The shape is a trapezium. So, the area is:

[tex]Area = \frac{1}{2} *(Sum\ of\ parallel\ sides) * Height[/tex]

From the attached,

The height is 2

The parallel sides are: 2 and 6

So, the area is:

[tex]Area = \frac{1}{2} *(2 + 6) * 2[/tex]

[tex]Area = \frac{1}{2} *8 * 2[/tex]

[tex]Area = 8[/tex]

Hence, the area is 8 units square

ok here you go its B

Answer:

x = 9°

y = 26°

Step-by-step explanation:

4x + 6x = 90

10x = 90

x = 9

y + 7(9) +1 = 90

y + 64 = 90

y = 26

Answer:

The Bakery will sell 22 more vanilla cupcakes than lemon cupcakes.

Step-by-step explanation

Ruling out the answers here, with the first answer you can get that by looking at the graph and can be supported with the data set. With the third answer that can also be supported by the data set and is a educated prediction. And for the fourth answer same thing as the last ones. The only one that wouldn't make sense if you were trying to support it with the data of cupcakes would be the second answer. Which therefore should be your answer.

Answer:

D- x^2

Step-by-step explanation:

Just did the practice edge. 2021

For a given function, y is inversely proportional to x.

Option A is correct.

A function is a mathematical process that uniquely relates the value of one variable to the value of one (or more) other variables.

A function is a special type of relation where every input has a unique output.

A function is a correspondence between two sets(called the domain and range) such that to each element of the domain, there is assigned exactly one element of the range.

Given function

y = [tex]\frac{1}{x^{2} }[/tex]

If x = 1, y =  [tex]\frac{1}{1^{2} }[/tex] = 1

If x = 2, y = [tex]\frac{1}{2^{2} }[/tex] = [tex]\frac{1}{4}[/tex] = 0.25

If x = 3, y = [tex]\frac{1}{3^{2} }[/tex] = [tex]\frac{1}{9}[/tex] = 0.111

If x is changing, y is also changing.

x is in denominator.

So, it means inversely proportional.

Y is inversely proportional to x.

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9514 1404 393

Answer:

  A) down

  B) 25 m; 200 m/s

  C) (20.41, 2065.82)

Step-by-step explanation:

When you are first introduced to equations for ballistic motion, you may be told that the formula is ...

  h(t) = -4.9t² +v₀t +h₀ . . . . . height in meters at time t seconds

where v₀ is the initial upward velocity in meters per second, and h₀ is the initial height in meters.

When you are first introduced to quadratic equations, and the vertex form in particular, you may be told that the form is ...

  f(x) = a(x -h)² +k . . . . . . . vertex (h, k) and vertical scale factor 'a'

When the scale factor (or leading coefficient) is negative the graph of the parabola opens downward. When it is positive, the graph opens upward.

Knowing these things, you are prepared to match the given equation to these patterns.

__

Part A: We observe that the leading coefficient of the function (-4.9) is negative, so the parabola opens down.

__

Part B: The constant in the first given equation is 25, so the initial height is 25 meters.

The coefficient of t in the first given equation is 200, so the initial velocity of the rocket is 200 m/s.

__

Part C: The vertex can be read from the second equation as ...

  (h, k) = (20.41, 2065.82)

Answer:

A=lw+l(w

2)2+h2+w(l

2)2+h2

Step-by-step explanation:

Answer:

0.6

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

[tex]\frac{y}{25}= \frac{32}{100}[/tex]

y × 100 = 32 × 25

100y = 800

100y ÷ 100 = 800 ÷ 100

y = 8

Here is a formula for most percentage problems.

9514 1404 393

Answer:

  112 ft²

Step-by-step explanation:

The shaded area is the difference of the areas of the outside rectangle and the inside rectangle. Each of those areas is the product of the rectangle dimensions.

  shaded area = (14')(12') -(8')(7') = (14')(12') -(14')(4') = (14')(12' -4')

  shaded area = 112 ft²

Answer:

$9200

Step-by-step explanation:

Given :

Working backwards :

Amount left before last $200 winning = $1200 - $200 = $1000

Amount had before 4th bet loss : $1000 * 2 = $2000

Amount lost on third bet loss = $300

Total amount had before 2nd bet loss = $(2000 + 300) = $2300

Amount had before second loss = 2 * 2300 = $4600

Amount had before first bet loss = $4600 * 2 = $9200

Hence, amount had before starting to lose games is $9200

Answer:

x > -3 or -3 < x < 3 or x > 3

Step-by-step explanation:

[tex]x^{2}[/tex] - 9

= (x + 3)(x - 3)

the undefined singularity points are at x = 3 and x = -3

x  > 3 or x > -3