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yuradex
1 day ago
7

Solve 4x - 5 = 7 + 4y for y

Mathematics
1 answer:
PIT_PIT [3.9K]1 day ago
3 0

Answer:

y = x - 3

Step-by-step explanation:

4x - 5 = 7 + 4y  subtracting 7 from each side

4x - 12 = 4y

 then dividing every term by 4

x - 3 = y

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What's the verbal expression for the algebraic expression 1/8y .?
Leona [4166]
The given expression is \frac{1}{8}y

Thus, in verbal form, we can express it as one eighth of a number.


5 0
3 days ago
The steps to derive the quadratic formula are shown below: Step 1 ax2 + bx + c = 0 Step 2 ax2 + bx = − c Step 3 x2 + b over a ti
PIT_PIT [3919]

Answer:

x + \frac{b}{2a} = \frac{+/ - \sqrt{b^2-4ac} }{2a}

Step-by-step explanation:

Step 1:

ax^2+bx+c = 0

Step 2:

ax^2+bx = -c

Step 3:

\frac{ax^2+bx}{a} = \frac{-c}{a}

Step 4:

To complete the square, add \frac{b^2}{4a^2} to both sides.

x^2 + \frac{bx}{a} + \frac{b^2}{4a^2} = \frac{-c}{a} + \frac{b^2}{4a^2}

Step 5:

x^2 + \frac{bx}{a} + \frac{b^2}{4a^2} = \frac{-4ac+b^2}{4a^2}

Step 6:

Taking square roots on both sides.

x + \frac{b}{2a} = \frac{+/ - \sqrt{b^2-4ac} }{2a}

3 0
1 day ago
A statistician at a metal manufacturing plant is sampling the thickness of metal plates. If an outlier occurs within a particula
babunello [3635]

Answer: 26.3 mm

Step-by-step explanation:

The two-standard deviations rule for outliers states that any value lying outside two standard deviations from the average is considered an outlier.

Given that the Mean is 23.5 millimeters (mm) and the standard deviation is 1.4 mm

The maximum thickness that should be reviewed = mean + 2 (standard deviation)

= 23.5 + 2(1.4)

= 23.5 + 2.8

= 26.3 mm

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7 0
15 days ago
Which of the following can be reasonably modeled by a normal distribution?
Inessa [3907]

Response:

A) The preferred colors of kindergarten students

B) The growth heights of tomato plants that were all planted on the same day

E) The age ratings (G, PG, PG-13, R) assigned to films released in 2019

Clarification:

A normal distribution is characterized by a bell-shaped curve where a majority of data points cluster near the average. Instances pertaining to intelligence, height, blood pressure, student evaluations, shoe sizes, birth weights, citizen incomes, stock market data, and random events like rolling dice or flipping coins, are examples that can be well-described using a normal distribution. The central limit theorem is applicable here, considering that various independent factors impact a particular characteristic.

3 0
9 days ago
A book shelf holds twenty books. Eleven are hard- covered, nine of the books are nonfiction, and four of the nonfiction books ar
tester [3916]

Answer:

1) Determine the likelihood that a selected book is a nonfiction hard cover. P(N ∩ H) = 4/20

2) Calculate the probability of picking a hard-covered book. P(H) = 11/20

3) Compute the conditional probability. = 4/11

---------------------------------------------------------------------------------------------

1.) 4/20

2.) 11/20

3.) 4/11

7 0
2 days ago
Read 2 more answers
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