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2 years ago

Which expression is equivalent to x - 13 = 16?

Mathematics

1 answer:

sasho [114]2 years ago

5 0

It would be c because you would subtract 13 on both side and the equation would be x - 13 = 16

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A.Directions: Solve the system of equations by substitution and elimnination. Check your solutions.

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Answer:

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3 years ago

A contractor is required by a county planning department to submit one, two, three, four, five, or six forms (depending on the n

Ratling [72]

Answer:

$k = \dfrac{1}{21}$

b) 0.476

c) 0.667

Step-by-step explanation:

We are given the following in the question:

Y = the number of forms required of the next applicant.

Y: 1, 2, 3, 4, 5, 6

The probability is given by:

$P(y) = ky$

a) Property of discrete probability distribution:

$\displaystyle\sum P(y_i) = 1\\\\\Rightarrow k(1+2+3+4+5+6) = 1\\\\\Rightarrow k(21) = 1\\\\\Rightarrow k = \dfrac{1}{21}$

b) at most four forms are required

$P(y \leq 4) = \displaystyle\sum^{y=4}_{y=1}P(y_i)\\\\P(y \leq 4) = \dfrac{1}{21}(1+2+3+4) = \dfrac{10}{21} = 0.476$

c) probability that between two and five forms (inclusive) are required

$P(2\leq y \leq 5) = \displaystyle\sum^{y=5}_{y=2}P(y_i)\\\\P(2\leq y \leq 5) = \dfrac{1}{21}(2+3+4+5) = \dfrac{14}{21} = 0.667$

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3 years ago

A reading specialist wanted to estimate the mean word length, in number of letters, for an elementary school history textbook. T

Alika [10]

Answer:

Step-by-step explanation:

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2 years ago

Read 2 more answers

Todd has 250% more video games than jaylon Todd has 56 video games he give jaylon 8 games how many games did they both have in t

topjm [15]

Answer:

Todd originally had 64 games; Jaylon had eight.

Step-by-step explanation:

If Todd has 56 games now, after having given eight games to Jaylon, Todd must have started with 64 games.

Let x = Jaylon's original games.

If Todd has <em>250 % more games</em> than Jaylon, he has <em>3.5 times as many </em>games as Jaylon.

Let x = Jaylon's original number of games. Then

x+ 8 = Jaylon's games now

∴ 56 = 3.5(x+8)

Distribute the 3.5 56 = 3.5x +28

Subtract 26 from each side 3.5x = 26

Divide each side by 3.5 x = 8

Jaylon originally had eight video games.

Check:

64 - 8 = 3.5(8 + 8)

56 = 3.5 × 16

56 = 56

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3 years ago

Read 2 more answers

the temperature of a cup of coffee obeys newton's law of cooling. The initial temperature of the coffee is 150F and 1 minute lat

natka813 [3]

Answer:

Newton's law of cooling says that:

T(t) = Tₐ + (T₀ - Tₐ)*e^(k*t)

or:

$\frac{dT}{dt} = -k*(T - T_a)$

in the differential form.

where:

T is the temperature as a function of time

Tₐ is the ambient temperature, in this case, 70F

T₀ is the initial temperature of the object, in this case, 150F

k is a constant, and we want to find the value of k.

Then our equation is:

T = 70F + (150F - 70F)*e^(k*t)

Now we also know that after a minute, or 60 seconds, the temperature was 135F

then:

135F = 70F + (150F - 70F)*e^(k*60s)

We can solve this for k:

135F = 70F + 80F*e^(k*60s)

135F - 70F = 80F*e^(k*60s)

65F = 80F*e^(k*60s)

(65/80) = e^(k*60s)

Now we can apply the Ln(x) function to both sides to get:

Ln(65/80) = Ln(e^(k*60s))

Ln(65/80) = k*60s

Ln(65/80)/60s = k = -0.0035 s^-1

Then the differential equation is:

$\frac{dT}{dt} = -0.0035 s^-1*(T - 70F)$

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2 years ago