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olga nikolaevna [1]
3 years ago
12

A brand name has a a 40 40​% recognition rate. Assume the owner of the brand wants to verify that rate by beginning with a small

sample of 6 6 randomly selected consumers. Complete parts​ (
a. through​ (
d. below.
a. What is the probability that exactly 5 5 of the selected consumers recognize the brand​ name?
Mathematics
1 answer:
Vladimir79 [104]3 years ago
5 0
I think that it's d. below
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Solve for x.<br><br><br>−4/5x+3/10&lt;8/10
Deffense [45]

Answer:

x > -5/8

Step-by-step explanation:

Simplify by combining x and 4/5 and then moving 4 to the left side of x

-x * 4/5 + 3/10 < 8/10

-4x/5 + 3/10 < 8/10

Now we cancel the common factor of 8 and 10.

Factor 2 out of 8

-4x/5 + 3/10 < 2(4)/10

2 from 10

-4x/5 + 3/10 < 4/5

Now move all the terms not containing x to the right side

Lets subtract 3/10 from both sides

-4x/5 < 4/5 - 3/10

Now we multiply by 2/2 to write 4/5 with a common denomi.

-4x/5 < 4/5 * 2/2 - 3/10

Now write with a common denom of 10 and multiply by 1

-4x/5 < 4*2/5 * 2 - 3/10

5 by 2

-4x/5 < 4 * 2/10 - 3/10

Combine

-4x/5 < 4 * 2 - 3/10

Simplify the numerator by multiplying then subtracting

-4x/5 < 8 - 3/10

-4x/5 < 5/10

Cancel the common factor of 5 and 10...

-4x/5 < 5(1)/10

-4x/5 5* 1/5 * 2

-4x/5 < 1/2

Now we divide by -1

-4x/5)/-1 > 1/2)/-1

4x/5 > 1/2)-1

4x/5 > -1/2

Multiply both sides by 5 and cancel common factors. (5)

4x * 5 > -1/2 * 5

4x > -1/2 * 5

4x > -5/2

Now divide by 4 in each term

4x/4 > -5/2)/4

x > -5/2)/4

Multiply the numer by the reciprocal of the denom

x > -5/1 * 1/4

x > -5/4 * 2

x > -5/8

5 0
2 years ago
Read 2 more answers
9. Given the point (6,-8) values of the six trig function.
lozanna [386]

Answer:

Here's what I get.

Step-by-step explanation:

9. (6, -8)

The reference angle θ is in the fourth quadrant.

∆AOB is a right triangle.

OB² = OA² + AB² = 6² + (-8)² = 36 + 64 = 100

OB = √100 = 10  

\sin \theta = \dfrac{-8}{10} = -\dfrac{4}{5}\\\\\cos \theta =\dfrac{6}{10} = \dfrac{3}{5}\\\\\tan \theta = \dfrac{-8}{6} = -\dfrac{4}{3}\\\\\csc \theta = \dfrac{10}{-8} = -\dfrac{5}{4}\\\\\sec \theta = \dfrac{10}{6} = \dfrac{5}{3}\\\\\cot \theta = \dfrac{6}{-8} = -\dfrac{3}{4}

10. cot θ = -(√3)/2

The reference angle θ is in the second quadrant.

∆AOB is a right triangle.

OB² = OA² + AB² = (-√3)² + (2)² = 3 + 4 = 7

OB = √7

\sin \theta = \dfrac{2}{\sqrt{7}} = \dfrac{2\sqrt{7}}{7}\\\\\cos \theta = \dfrac{-\sqrt{3}}{\sqrt{7}} = -\dfrac{\sqrt{21}}{7}\\\\\tan \theta = \dfrac{2}{-\sqrt{3}} = -\dfrac{2\sqrt{3}}{3}\\\\\csc \theta = \dfrac{\sqrt{7}}{2} \\\\\sec \theta = \dfrac{\sqrt{7}}{-\sqrt{3}} = -\dfrac{\sqrt{21}}{3}\\\\\cot \theta = -\dfrac{\sqrt{3}}{2}

3 0
3 years ago
A small publishing company is planning to publish a new book. The production costs will include one-time fixed costs (such as ed
hammer [34]
<u>Information:</u>

Fixed Cost = $32,634
Variable Cost = $8.75 per book.
Selling Price = $24.50 per book.

<u>Define x:</u>

Let x be the number of books sold.

<u>Construct Equation:</u>

For production cost to be equal auto money from sales:
⇒ 24.5x = 32634 + 8.75x 

<u>Solve x:
</u>
24.5x = 32634 + 8.75x 

Take away 8.75x from both sides:
15.75x = 32634

Divide both sides by 15.75:
x = 2072

Answer: The publisher must sell 2072 books.
6 0
3 years ago
What role do animals have in the carbon cycle?
dangina [55]
I believe it is use sugar and and release carbon. We breath in oxygen so you know it can’t be anything where we release oxygen. And I don’t know how we could release nitrogen so I would go with the second one
4 0
3 years ago
Read 2 more answers
A spinner is divided into 16 sections.3 sections are red 6 are blue 5 are purple and 2 are orange. If you spin the spinner what
Ahat [919]
6/16 or 3/8 because if there are 6 blue out of 16 that it obvious. Please press thank you cuz I hope it helps.
7 0
4 years ago
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