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3 years ago

Negative ten is no less than two times a number plus fourteen

Mathematics

1 answer:

creativ13 [48]3 years ago

5 0

All you do is change signs write 2x minus 14 equals negative 10-14 equals four then you write 2x over two equals four over two then u write x equals negative two

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Fruit Company A recently released a new applesauce. By the end of its first year, profits on this product amounted to $37,100. T

Anastasy [175]

Answer: 11 year

P(1) = 37,100

P(4) = 58,400

The linear equation (for x ≥ 1)

P(x) = 37,100 + a(x-1)

For x = 4

58,400 = 37,100 + a(4-1)

58,400 - 37,100 = 3a

21300 = 3a

a = 7100

So, the linear equation:

P(x) = 37100 + 7100*(x-1)

P(x) = 37100 + 7100x - 7,100

P(x) = 7100x + 30000

To find when the profit should reach 108100, we can substitute P(x) by 108100.

108100 = 7100x + 30000

108100 - 30000 = 7100x

78100 = 7100x

x = 78100/7100

x = 11

Answer: 11 year

7 0

1 year ago

A "child has six blocks, three of which are red and three of which are green". How many patterns can shemake by placing them all

makvit [3.9K]

Answer: There are 20 ways and 1680 ways respectively.

Step-by-step explanation:

Since we have given that

Total number of blocks = 6

Number of red blocks = 3

Number of green blocks = 3

So, Number of patterns she can make by placing them all in a line is given by

$\dfrac{6!}{3!\times 3!}\\\\=20$

If there are 3 white blocks

so, total number of white blocks becomes 9

So, Number of total pattern she can make by placing all nine blocks in a line is given by

$\dfrac{9!}{3!\times 3!\times 3!}\\\\=1680\ ways$

Hence, there are 20 ways and 1680 ways respectively.

6 0

3 years ago

Find the exact value of cos210 using the unit circle

Eduardwww [97]

Cos 210° = cos ( 180° + 30° ) - cos 30° = - √3/2

3 0

3 years ago

Here is a simple probability model for multiple-choice tests. Suppose that each student has probability p of correctly answering

Alla [95]

Answer:

a) The probability that Jodi scores 78% or lower on a 100-question test is 4%.

b) The probability that Jodi scores 78% or lower on a 250-question test is 0.023%.

Step-by-step explanation:

a) To approximate this distribution we have to calculate the mean and the standard distribution.

The mean is the proportion p=0.85.

The standard deviation can be calculates as:

$\sigma=\sqrt{\frac{p(1-p)}{n} }= \sqrt{\frac{0.85*(1-0.85)}{100} }=0.04$

To calculate the probability that Jodi scores 78% or less on a 100-question test, we first calculate the z-value:

$z=\frac{p-p_0}{\sigma} =\frac{0.78-0.85}{0.04} =-1.75$

The probability for this value of z is

$P(x$

The probability that Jodi scores 78% or lower on a 100-question test is 4%.

b) In this case, the number of questions is 250, so the standard deviation needs to be calculated again:

$\sigma=\sqrt{\frac{p(1-p)}{n} }= \sqrt{\frac{0.85*(1-0.85)}{250} }=0.02$

To calculate the probability that Jodi scores 78% or less on a 250-question test, we first calculate the z-value:

$z=\frac{p-p_0}{\sigma} =\frac{0.78-0.85}{0.02} =-3.5$

The probability for this value of z is

$P(x$

The probability that Jodi scores 78% or lower on a 250-question test is 0.023%.

6 0

3 years ago

A rectangular prism has a volume of 729 ft3. The length width and height are all the same. What is the is the length of each sid

swat32

Answer:

9 ft

Step-by-step explanation:

As length, width and height are same, then it is a square prism / cube

Volume of prism = 729 ft³

side³ = 729

side³ = 9³

Side = 9 ft

3 0

3 years ago

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