Find y round to the nearest tenth

9x+14=13x-10 I need the individual steps

kogti [31]

First start by subtracting 9x from both sides and getting 14=4x-10. Then add ten to both sides getting 24=4x. Then divide 24 by 4 and you get x=6

8 0

3 years ago

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Gillian read 3135 words in 19 minutes. Let w represent the words read each minute. If Gillian read the same number of words each

sweet [91]

Answer:

she read 165 words per minute

Step-by-step explanation:

if you tell us that Gillian read 3135 words in 19 minutes we can represent it as follows

19 m = 3135w

so now we have to find out how much I read in 1 minute, for this we have to divide both parts of equality by 19

19m = 3135w

19m/19 = 3135w/19

1m = 165w

she read 165 words per minute

5 0

2 years ago

Tomato as a taste modifier. Miraculin—a protein naturally produced in a rare tropical fruit—has the potential to be an alternati

telo118 [61]

Answer:

a) 0.033

b) 0.468

c) 100

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 105.3

Standard Deviation, σ = 8

The amount x of miraculin produced (measured in micro-grams per gram of fresh weight) had a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

a) P(x > 120)

$P( x > 120) = P( z > \displaystyle\frac{120 - 105.3}{8}) = P(z > 1.8375)$

$= 1 - P(z \leq 1.8375)$

Calculation the value from standard normal z table, we have,

$P(x > 120) = 1 - 0.967 = 0.033 = 3.3\%$

b) P(x between 100 and 110)

$P(100 \leq x \leq 110) = P(\displaystyle\frac{100 - 105.3}{8} \leq z \leq \displaystyle\frac{110-105.3}{8}) = P(-0.6625 \leq z \leq 0.5875)\\\\= P(z \leq 0.5875) - P(z \leq -0.6625)\\= 0.722 - 0.254 = 0.468 = 46.8\%$

$P(100 \leq x \leq 110) = 46.8\%$

c) P(x < a) = 0.25

$P( x \leq a) = P( z \leq \displaystyle\frac{a - 105.3}{8}) = 0.25$

Calculation the value from standard normal z table, we have,

$P( z \leq -0.674) = 0.25$

$\displaystyle\frac{x - 105.3}{8} = -0.674\\\\x = -0.674\times 8 + 105.3 = 99.908 \approx 100$

3 0

3 years ago

What is the range of the function? (5,9) (1,0) (4,-7) (6,-1)

gogolik [260]

The range of the function is {-7, -1, 0, 9}.

These are all of the y values in the ordered pairs, which is the definition of what range is.

5 0

3 years ago

In a 25-mile race, the 4 runners are each wearing a bib with their registration number. What is the registration number of the r

bearhunter [10]

0.8 of the 25 mile race is (0.8 x 25) = 20 miles .

8 0

3 years ago

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