Evaluate 1.3 x 0.03​

Answer:

The probability that Harry will be chosen as either as Secretary or as treasurer but not as president out of those 10 members will be [tex]\frac{1}{5}[/tex].

Step-by-step explanation:

We have 10 members out of which one is Harry, we need to choose one of the 10 members as President, one to be as secretary out of the remaining 9, one  as the treasurer of the remaining 8 members.

We want harry to be as either as secretary or as treasurer. so we will consider both the cases

Probability is given by = No of favorable outcomes/ Total no of outcomes

(1) Harry as secretary : If harry is to be chosen as secretary then he can't be a president or he cant be a Treasurer

  As president = [tex]\frac{1}{10}[/tex]

  Not as president = [tex]1 - \frac{1}{10}[/tex] = [tex]\frac{9}{10}[/tex]

Now he is selected for the secretary so he can't be selected as treasurer.

Not as treasurer = 1

Probability for chosen as secretary = [tex]\frac{9}{10}*\frac{1}{9}*1[/tex]  = [tex]\frac{1}{10}[/tex]  

(2) Harry as treasurer : If harry is to be chosen as the treasurer so he can't be chosen as a President or as a Secretary.

Probability for not chosen as president = [tex]\frac{9}{10}[/tex]

Probability for not chosen as secretary =  [tex]1-\frac{1}{9} = \frac{8}{9}[/tex]

Probability to be chosen as treasurer = [tex]\frac{1}{8}[/tex]

Probability to be chosen as Treasurer = [tex]\frac{9}{10}*\frac{8}{9}*\frac{1}{8}[/tex] = [tex]\frac{1}{10}[/tex]

Total probability for Harry to be chosen as either secretary or as treasurer will be = P(Secretary) +P(Treasurer)

           = [tex]\frac{1}{10} +\frac{1}{10} = \frac{1}{5}[/tex]

Therefore the probability that Harry will be chosen as either as Secretary or as treasurer but not as president out of those 10 members will be [tex]\frac{1}{5}[/tex].

Answer:

-5x + 4

Step-by-step explanation:

Answer:

Express 5 72 in simplest radical form:

Factorize the 72 in your expression:  

5√72 = 5√(2*2*2*3*3)

take a pair of two's and a pair of three's out of the radical sign:

5√72 = 5*2*3√2 = 30√2

this is the simplest radical form

Step-by-step explanation:

Answer:  Express 5 72 in simplest radical form:

Factorize the 72 in your expression:  

5√72 = 5√(2*2*2*3*3)

take a pair of two's and a pair of three's out of the radical sign:

5√72 = 5*2*3√2 = 30√2

this is the simplest radical form

Step-by-step explanation:

HOPE I HELPED

Answer:

2k+4

Step-by-step explanation:

Jeremy ran

2k+4

Jeremy ran 4 more miles than twice of Kate.

Given, distance covered by Kate = k

Let distance covered by Jeremy = x

According to Question :

Distance covered by Jeremy = 4 + 2 × distance covered by Kate

Hence, x = 4 + 2k

Therefore, expression used to represent situation is :

Answer:

The slope is 1/5

Andre is saving 4 dollars per week.

Step-by-step explanation:

Answer:

71 1/4 pans of lasagna

Step-by-step explanation:

From the above question:.

4 cans of tomato sauce = 1 pan of lasagna

285 cans of tomato sauce = x

Cross Multiply

4x = 285 × 1

x = 285/4

x = 71 1/4 pans of lasagna

Violet could make 71 1/4 pans of lasagna

Answer:

I believe the answer is c hope this helps

Answer:

A. [tex]\displaystyle y = -\frac{1}{2} x -4[/tex]

Step-by-step explanation:

Equation of a Line

The equation of the line in slope-intercept form is:

y=mx+b

Where:

m = slope

b  = y-intercept.

The point-slope form of the equation of a line is:

y - k = m ( x - h )

Where:

(h,k) is a point through which the line passes.

The line we are looking for has a slope defined for the fact that is perpendicular to the line shown in the graph.

Two perpendicular lines with slopes m1 and m2 satisfy the equation:

[tex]m_1m_2=-1[/tex]

We'll find the slope m1 of the given line and then solve the above equation for m2:

[tex]\displaystyle m_2=-\frac{1}{m_1}[/tex]

The line of the graph passes through two clear points (-3,-3) and (0,3). Let's calculate the slope.

Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:

[tex]\displaystyle m_1=\frac{3+3}{0+3}=\frac{6}{3}=2[/tex]

Now we calculate the second slope:

[tex]\displaystyle m_2=-\frac{1}{2}[/tex]

We use the point-slope form, given the point (6,-7):

[tex]\displaystyle y + 7 = -\frac{1}{2} ( x - 6 )[/tex]

Operating the parentheses:

[tex]\displaystyle y + 7 = -\frac{1}{2} x +\frac{1}{2}\cdot 6 )[/tex]

Simplifying:

[tex]\displaystyle y = -\frac{1}{2} x +3-7[/tex]

A. [tex]\mathbf{\displaystyle y = -\frac{1}{2} x -4}[/tex]

Answer:

12 bars for $10.00

Step-by-step explanation:

Answer:

 |x − 0.5| = 0.05

Step-by-step explanation:

Here x represents the diameter,

Since, an error of 0.05 millimeters is allowance in diameter,

Thus, the maximum acceptable diameter = x + 0.05,

And, the minimum acceptable diameter = x - 0.05

According to the question,

The holes will have a diameter of 0.5 millimeters,

Thus, x - 0.05 < 0.5  and 0.5 < x + 0.05

⇒ x - 0.5 < 0.05 and x - 0.5 > - 0.05  

⇒ x - 0.5 < 0.05 and -(x -0.5) < 0.05

⇒ |x-0.5| < 0.05

⇒ Option D is correct.

Answer:

y=3-2x

any more help just ask :)

Answer:

1. 4

2. 11

3. 18

4. 25

Step-by-step explanation:

Answer:

my hand writing is sloppy hope it helps tho

Step-by-step explanation:

Answer:

y=3 1/3x

This is because x number of minutes times 3 and 1/3 is equal to y or the number of pages. Substitute the value of x to find the answer to the second question:

y= 3 1/3 * 72

Answer:

b

Step-by-step explanation:

Answer:

The answer is D= Dana filtered the sample and larger granules of the sample were left behind

Step-by-step explanation:

I got it correct ✌

Answer:

− x+9

Step-by-step explanation:

−

7

7

+

9

{\color{#c92786}{\frac{-7x}{7}}}+9

7−7x​+9

−

+

9=−

+

9

Answer:

The probability that the die will land on 2 or 3 Is a 1/6 chance the coin to land on tails is a 1/2 chance.

Hope this helps!

Answer:

The values of k will be:

[tex]k=-1,\:k=3[/tex]

Step-by-step explanation:

Let the expression of polynomial P be

[tex]P\left(x\right)=3x^2-4kx-4k^2[/tex]

Let the expression if the polynomial Q be

[tex]\:Q\left(x\right)=\:\left(x+2\right)\:[/tex]

Plug in Q(x) = 0

0 = x+2

x = -2

As (x+2) is a factor of 3x²-4kx-4k²

substitute x = -2 in the the polynomial

3x²-4kx-4k² = 0

[tex]3\left(-2\right)^2-4k\left(-2\right)-4k^2\:=0[/tex]

[tex]12+8k-4k^2=0[/tex]

Write in the standard form ax²+bx+c = 0

[tex]-4k^2+8k+12=0[/tex]

Factor out common term -4

[tex]-4\left(k^2-2k-3\right)=0[/tex]

Factor k²-2k-3: (k+1)(k-3)

[tex]-4\left(k+1\right)\left(k-3\right)=0[/tex]

Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

[tex]k+1=0\quad \mathrm{or}\quad \:k-3=0[/tex]

solving k+1=0

k+1 = 0

k = -1

solving k-3=0

k-3=0

k = 3

Thus, the values of k will be:

[tex]k=-1,\:k=3[/tex]

Answer:

x = 12.489996 ft

Step-by-step explanation:

In order to solve one side length of a right triangle given two of other side lengths, you can use the pythagorean theory.

The theory states that the sum of the two adjacent side squares equals the square of the hypotenuse.

Basically:

[tex]x^2 + y^2 = h^2[/tex]

Since the problem gives you the hypotenuse and one adjacent side length you rearrange the formula as so:

[tex]x^2 = h^2 - y^2[/tex]

[tex]x=\sqrt{h^2 - y^2}[/tex]

Then plug in the values:

[tex]x = \sqrt{16^2 - 10^2} = \sqrt{256-100}=\sqrt{156} = 2\sqrt{39}=12.489996[/tex]

Answer:

623

hope this helped?

Answer:

Negative and positive

Step-by-step explanation:

Complete the statements about the key features of the graph of f(x) = x5 – 9x3.

As x goes to negative infinity, f(x) goes to "NEGATIVE" infinity, and as x goes to positive infinity, f(x) goes to "POSITIVE" infinity.

The complete statement is:

As x goes to negative infinity, f(x) goes to negative infinity, and as x goes to positive infinity, f(x) goes to positive infinity

The function is given as:

[tex]f(x) = x^5 - 9x^3[/tex]

Set x to 2

So, we have:

[tex]f(2) = 2^5 - 9(2)^3[/tex]

[tex]f(2) = -40[/tex]

Set x to 5

[tex]f(5) = 5^5 - 9(5)^3[/tex]

[tex]f(5) = 2000[/tex]

Notice that, as the value of x increases from 2 to 5, the function increases from -40 to 2000

Hence, the texts that complete the blanks are (a) negative and (b) positive, respectively

Read more about function behaviors at:

https://brainly.com/question/24114085

Answer:

The solution for your question is X=6

Step-by-step explanation:

5x - 32 = kx + 3

(5 - k)x = 35

This equation fails when (5 - k) = 0, or k = 5.

Answer:

LP = 18

Step-by-step explanation:

Given that,

In ΔLPN,

LQ = 6, LM = 11 and MN = 22

We need to find the length of LP.

As QM ║PN, let QP = x

[tex]\dfrac{LQ}{LP}=\dfrac{LM}{LN}\\\\\dfrac{6}{6+x}=\dfrac{11}{11+22}\\\\\dfrac{6}{6+x}=\dfrac{11}{33}\\\\198=66+11x\\\\198-66=11x\\\\132=11x\\\\x=12[/tex]

LP = 6+x

= 6+ 12

= 18

Hence, the length of LP is 18.

Answer:

A = 60 degrees

C = 8 m

Step-by-step explanation:

Whenever we are faced with a geometry problem, and we have a right-angled triangle within the problem, we are to remember Pythagoras' Law first, and the fact that a right-angled triangle always has an angle that measures 90 degrees.

We will also need to know that the sum of the angles in a triangle is 180 degrees.

Therefore, angle A will be = 180 - (90 +30) = 60 degrees

From Pythagoras' Law, we can see that [tex]c= tan 30 \times 8\sqrt{3} =8[/tex]

therefore, line c = 8m