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Otrada [13]
2 years ago
9

Noah started to solve the equation –4.6p – 6.3p + 3.9 = –9.18 below. Combine like terms: –10.9p + 3.9 = –9.18 Apply the next ste

ps to solve the equation. What is the solution? p =
Mathematics
1 answer:
irinina [24]2 years ago
7 0

Answer:

The next steps are to:

1) subtract 3.9 from both sides

2) divide both sides by -10.9

3) p = 1.2

Step-by-step explanation:

To solve a multi-step equation, you need to first combine like terms, which was done for your to get the equation:  -10.9p + 3.9 = -9.18.  At this point, you have a two-step equation where you need to use inverse (opposite) operations to isolate the variable.  Whatever you do to one side of the equation, you do to the other:

1) -10.9p + 3.9 - 3.9 = -9.18 - 3.19 or -10.9p = -13.08

2) -10.9p/-10.9 = -13.08/-10.9

3) p = 1.2

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Suppose that the duration of a particular type of criminal trial is known to be normally distributed with a mean of 21 days and
Black_prince [1.1K]

Answer:

0.33411

The probability that a particular criminal trial lasted atleast 24 days is 0.33411

Step-by-step explanation:

The random variable X is normally distributed with a mean of 21 and standard deviation of 7

;

X ~ N(μ = 21 ; σ = 7)

X ~ N(21, 7)

Probability that a trial lasted atleast 24 days :

P(X ≥ 24) :

The standardized score :

Z = (x - μ) / σ ; (24 - 21) / 7 ; 3 / 7 = 0.4286

Hence,

P(Z ≥ 0.4286) = 0.33411

The probability that a particular criminal trial lasted atleast 24 days is 0.33411

6 0
2 years ago
The m6 = (11x + 8)° and m7 = (12x – 4)° What is the measure of 4? m4 = 40° m4 = 48° m4 = 132° m4 = 140°
bezimeni [28]
M< 6 = m< 7 (vertical angles)
11x + 8 = <span>12x – 4
12x - 11x = 8 + 4
 x = 12
so
m< 6 = </span>11x + 8 
m< 6 = 11(12) + 8
m< 6 = 132 + 8
m< 6 = 140

m<4 = 180 - m<6
m<4 = 180 - 140
m<4 = 40

answer

<span>m<4 = 40</span>
7 0
2 years ago
Read 2 more answers
Ava wants to figure out the average speed she is driving. She starts checking her car’s clock at mile marker 0. It takes her 4 m
VLD [36.1K]
<h2>Answer:</h2>

The average speed of car is:

                 0.75 miles per minutes.

The equation of line is:

                    n=\dfrac{3}{4}t

<h2>Step-by-step solution:</h2>

The table that describes the time and number of  miles marked is given by:

Time       Miles

  0              0

  4               3

  8               6

Clearly we could observe that with the increase in time by every 4   minutes the number of mile increases by 3.

i.e. the average speed is calculated as the ratio of change in miles to the change in time.

Hence,

Average\ Speed=\dfrac{3-0}{4-0}\\\\\\i.e.\\\\\\Average\ Speed=\dfrac{3}{4}=0.75

Hence, the average speed=0.75 miles per minutes.

Also we will find the equation of the lines that related the miles and time by using the two-point formula.

i.e. any line passing through (a,b) and (c,d) is calculated by using the formula:

y-b=\dfrac{d-b}{c-a}\times (x-a)

Here (a,b)=(0,0) and (c,d)=(4,3)

i.e. the equation is given by:

n-0=\dfrac{3-0}{4-0}\times (t-0)\\\\i.e.\\\\n=\dfrac{3}{4}t

6 0
2 years ago
Read 2 more answers
A map of a rectangular park has a length of 4 inches and a width of 6 inches. It uses a scale of 1 inch for every 30 Miles. What
MakcuM [25]

Answer:

The actual area 21600 miles²

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- A drawing that shows a real object with accurate sizes reduced or

 enlarged by a certain amount called the scale

- Drawing scale is a ratio between the drawing length and the

 actual length

- To find the actual dimensions from the drawing dimensions use the

  scale drawing

*<em> Lets solve the problem</em>

- A map of a rectangular park has a length of 4 inches and a width

 of 6 inches

∴ The drawing dimensions are:

# length = 4 inches

# width = 6 inches

- The scale of the map is 1 inch foe every 30 miles

∴ The scale drawing is 1 : 30

- To find the actual area find the actual dimensions

∵ The scale drawing is 1 : 30

∵ The length = 4 inches and the width = 6 inches

- By using cross multiplication

∴  1        :        30

   4       :  actual length

   6       :  actual width

∴ Actual length = (4 × 30)/1 = 120

∴ Actual length = 120 miles

∴ Actual width = (6 × 30)/1 = 180

∴ Actual Width = 180 miles

∴ The actual dimensions are 120 miles and 180 miles

∵ The area of any rectangle = length × width

∴ The actual area = 120 × 180 = 21600

∴ The actual area 21600 miles²

5 0
2 years ago
Based on the graph shown to the right, whose phones cost varies directly with the amount of time spent talking?
Lena [83]

Answer:

B

Step-by-step explanation:

Given 2 quantities that vary directly, then the graph must pass through the origin.

Nikiya's graph is the only one to do this ⇒ B



8 0
2 years ago
Read 2 more answers
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