3 – 9x = –6 – 8x
What is X

Answer:

[tex]\sf \dfrac{1}{10}[/tex]

Step-by-step explanation:

From the table:

[tex]\sf Probability \ of \ an \ event \ occurring = \dfrac{Number \ of \ ways \ it \ can \ occur}{Total \ number \ of \ possible \ outcomes}[/tex]

[tex]\sf \implies P(Sophomore)=\dfrac{10}{37}[/tex]

[tex]\sf \implies P(Boy \cap Sophomore)=\dfrac{1}{37}[/tex]

[tex]\begin{aligned}\sf P(Boy | Sophomore) & = \sf\dfrac{P(Boy \cap Sophomore)}{P(Sophomore)}\\\\ & = \sf \dfrac{1}{37} \div \dfrac{10}{37}\\\\ & = \sf\dfrac{1}{37} \times\dfrac{37}{10}\\\\ & = \sf\dfrac{1}{10}\end{aligned}[/tex]

Answer:

1/10

Explanation:

Given Boy Sophomores: 1

Given Total Boy: 3 + 1 + 4 + 2 = 10

So

⇒  P(Boy|Sophomore)  

⇒  Boy Sophomore/Total Boy

⇒  1/10

Δ perimeter of swimming area:

Δ area of roped off section:

Answer:

4 and 9

Step-by-step explanation:

Composite numbers are whole numbers that can have more than 2 factors.

Answer:

B. Obtuse

Step-by-step explanation:

An obtuse angle is defined as one that extends beyond 90 degrees. An acute angle is defined as one that is less than 90 degrees. A right angle is one that is 90 degrees.

Answer:

X=6

Step-by-step explanation:

Answer:

(B). Some activities may be inappropriate for particularly young or old participants.

Step-by-step explanation:

its the most formal answer hopfully this helps you.

Using the together rate, it is found that it would take the assistant 31 hours and 30 minutes to do it alone.

It is the sum of each separate rate.

In this problem, the rates are given as follows:

Hence:

[tex]\frac{1}{9} + \frac{1}{x} = \frac{1}{7}[/tex]

[tex]\frac{x + 9}{9x} = \frac{1}{7}[/tex]

[tex]9x = 7x + 63[/tex]

2x = 63

x = 31.5.

It would take the assistant 31 hours and 30 minutes to do it alone.

More can be learned about the together rate at https://brainly.com/question/25159431

Step-by-step explanation:

Here,let x = 1,2,3 and 4

Then,

Domain =(1,2,3,4)

Again,

f(1)= 3*1 + 5

=3 + 5

=8

f(2)=3*2 + 5

=6 + 5

=11

f(3)=3*3 + 5

=9 + 5

=14

f(4)=3*4 + 5

=12 + 5

=17

Therefore, Range=(8,11,14,17)

Answer:

62.83185

Step-by-step explanation:

C=2πr=2·π·10≈62.83185

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Circumference of circle is :

[tex]\qquad \tt  \dashrightarrow \:\pi d[/tex]

where,

[tex]\qquad \sf  \dashrightarrow \:c = 20 \pi \: \: cm[/tex]

Now, let's plug approximate value of pi

[tex]\qquad \sf  \dashrightarrow \:c = 20 \times 3.14\: \: [/tex]

[tex]\qquad \sf  \dashrightarrow \:c = 62.8 \: \: cm[/tex]

Answer:

It should be 32 and 18 but I'm bro entirely sure

Answer:

PA = 8 cm

Step-by-step explanation:

First, create a right triangle with legs OA and SA and hypotenuse OS. Use the Pythagorean Theorem to get the length of OS. Since this is a pythagorean triple (3-4-5) triangle, the hypotenuse is 5, meaning that OS is 5 cm long. Because OS and OP are both radii of the circle, they are equal. So, OP = 5 cm. Finally, simply add OA and OP to get PA:

OA + OP = PA

3 + 5 = PA

PA = 8 cm

let's recall Descartes rule of signs, to get the Real Positive ones we start by checking the sign changes for f(x), and to get the Real Negative ones we check the sign changes for f( -x ).

Check the picture below.

Answer:

The principal amount is 5000 dollars = 3, 70,000 rupees (5000 dollars x 74 Rupees)

Rate = 2.5%

Time = 1 year

Now, on putting the values given in the formula

S.I.= 9,250 Rupees

Now we convert it into dollars by diving 9,250 rupees by 74 rupees.

We get,

9250/74 = 125 dollars

Step-by-step explanation:

Answer:

[tex]\frac{9}{10}[/tex]

Step-by-step explanation:

first we write 1 4/5 as an improper fraction:

[tex]1 \frac{4}{5}=\frac{5}{5}+\frac{4}{5}=\frac{5+4}{5}=\frac{9}{5}[/tex]

Now we multiply :

[tex]\begin{aligned}1 \frac{4}{5} \times \frac{1}{2} &=\frac{9}{5} \times \frac{1}{2} \\&=\frac{9 \times 1}{5 \times 2} \\&=\frac{9}{10}\end{aligned}[/tex]

Answer: A

Step-by-step explanation:

Since diagonals of a rectangle are congruent and bisect each other, we know that the two opposite triangles formed by the diagonals are congruent by SAS.

Therefore, the measure of angle 1 is equal to 25 degrees.

Answer:

117

Step-by-step explanation:

well, if they are supplementary, and they are on the same line and a line is equal to 180 degrees, then its as easy as 180-63=117

Answer:

7 sq units

Step-by-step explanation:

Area of right angled triangle

= 1/2 * ZJ * JW

= 1/2 * 14 * 1

= 7 sq units

Answer:

968 is what they need and no they do not enough material

Step-by-step explanation:

What I always do on these questions is length times width and they need 536 more material

I'm pretty sure it's either D or B, I'm literally so sorry if it's wrong

Answer:

1 / 216, or 0.00462...

Step-by-step explanation:

[tex]\text{Given that,}~f(x)=x^3-2x^2\\\\f(i)=i^3-2i^2\\\\~~~~~~=i^2 \cdot i -2(-1)~~~~~;[i^2=-1]\\\\~~~~~~=-i+2\\\\~~~~~~=2-i[/tex]

The expression equivalent to f(i) is 2-i.

The expression is mathematical statement which consist of variables, numbers and connected by at least one operation.

Given that, a function f(x) = x³ - 2x², we need to find the expression equivalent to f(i),

To find the same we will put x = i,

So,

f(i) = i³ - 2i² [i = √-1]

= (√-1)³ - 2(√-1)²

= -i - 2(-1)

= -i+2

= 2-i

Hence, the expression equivalent to f(i) is 2-i.

Learn more about expression, click;

https://brainly.com/question/14083225

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The maximum error of estimate with a sample of 300 cell phones is 29.73%

The formula for calculating the maximum error of the estimate is expressed as:

ME = √0.25/n

n is the total sample

Given the following parameters

n = 300

Substitute into the formula to have:

ME = √0.25/n

ME = √0.25/300
ME = 0.2973
ME = 29.73%

Hence the maximum error of estimate with a sample of 300 cell phones is 29.73%

Learn more on maximum error here: https://brainly.com/question/13370015

The weight of cell phones is normally distributed. The mean weight of a sample of 300 cell phones is 112 grams, with a standard deviation of 2 grams. With a 95% confidence level, determine

the maximum error of estimate

Answer:

29.73%

[tex] \green{ - - - - - - - - - - - - - - - - - - }[/tex]

•— Therefore, the answer is x = 5

[tex] \green{ - - - - - - - - - - - - - - - - - - }[/tex]

Answer:

  $2,856.80

Step-by-step explanation:

The formula for the balance of an account earning interest compounded annually is ...

  A = P(1 +r)^t . . . . where P is the principal invested at annual rate r for t years

__

Using the given values, we find the account balance to be ...

  A = $8400(1 +0.05)^6 ≈ $11,256.80

The excess over the initial investment is the interest earned:

  $11,256.80 -8,400 = $2,856.80

The account has accrued $2,856.80 in interest after 6 years.

_____

Additional comment

If the account earns simple interest, it is computed using ...

  I = Prt = $8400(0.05)(6) = $2,520

Answer: the third one

Step-by-step explanation: how i know by guessing

Answer:

11 and 9

Step-by-step explanation:

With a width of 11 and a length of 9 the area of the rectangle would be

11 * 9 = 99

By adding 11 and 9, then mulitplying it by 2 we get the perimeter

11 + 9 = 20

20 * 2 = 40

Answer:

Step-by-step explanation:

As the problem statement suggests, the question of time in the air can be answered by finding the zeros of the function. Similarly, the question of the ball's maximum height can be answered by finding the vertex. These findings are related by the fact that the vertex is on the line of symmetry, which passes through the midpoint between the zeros.

__

The function can be factored as ...

  h = -16t(t -3)

At any zero, one of the factors must be zero. (This is the "zero product rule.") The factors are zero for t=0 and for t=3.

  The zeros are (0, 0) and (3, 0).

This tells you the height of the ball is zero initially (at t=0), and 3 seconds later (at t=3).

  The ball is in the air for 3 seconds.

__

The midpoint between the zeros is their average: (0 +3)/2 = 1.5. At that value of t, the ball will be at its maximum height.

  The ball will reach its maximum height at t=1.5 seconds.

Using the above factored form to find the height, we get ...

  h = -16(1.5)(1.5 -3) = 16(2.25) = 36 . . . feet

 The ball's maximum height is 36 feet.

_____

Additional comment

The x-coordinate of the vertex of quadratic ax²+bx+c is found at the value ...

  x = -b/(2a)

Here, that would be ...

  t = -48/(2(-16)) = 3/2

__

A graphing calculator can answer all of these questions quite rapidly.

Answer:

Step-by-step explanation:

Answer:

[tex][7\times(-2)]^5 = 7^5 \times (-2)^5[/tex]

Step-by-step explanation:

Answer:

parabola is open upwards