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earnstyle [38]
4 years ago
8

it took marjorie 15 minutes to drive from her house to her daughter's school. If the school was 4 miles away from her house, wha

t was her unit rate of speed?
Mathematics
1 answer:
kodGreya [7K]4 years ago
7 0

unit rate of speed is 0.27 miles per minute .

<u>Step-by-step explanation:</u>

Here we have , it took marjorie 15 minutes to drive from her house to her daughter's school. If the school was 4 miles away from her house, We need to find  what was her unit rate of speed . Let's find out:

We know that  , Speed = \frac{Distance}{Time}      ...........(1)

According to question we have following parameters as :

Distance = 4 miles\\Time=15min

Putting these value in equation (1) we get:

⇒ Speed = \frac{Distance}{Time}

⇒ Speed = \frac{4miles}{15min}

⇒ Speed = (\frac{4}{15} )\frac{miles}{min}

⇒ Speed = (0.27 )\frac{miles}{min}

Therefore ,  unit rate of speed is 0.27 miles per minute .

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Art [367]
For this case we have the following polynomials:
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 P - Q = 3x ^ 2 + (2x - x) + (-6 - 5)&#10;&#10;P - Q = 3x ^ 2 + x - 11
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3 0
4 years ago
Complete the synthetic division problem below. What is the quotient in polynomial form?
stellarik [79]
The polynomial would be 2x+5.

We bring down the first number inside the box, 2, unchanged.

    _______
-1|  2   7   5
    _______
      2

Now we multiply that 2 by the number outside, -1:
    _______
-1|  2   7   5
    <u>      -2     
</u>      2

Now we add the two numbers in the middle column:
    ________
-1|   2   7   5
    <u>       -2      </u> 
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Multiply the 5 we brought down by the -1:
    ________
-1|   2   7   5
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</u>       2   5   

Add the numbers in the last column:
    ________
 -1|   2   7   5
     <u>       -2  -5
</u>        2   5   0

The 3 numbers under the box represent the coefficients of x² and x, as well as the constant.  When we finish, we no longer have an x², but start at the next level down, which would be x.  2 would be the coefficient of x and 5 would be the constant, with 0 remainder.
3 0
3 years ago
A botanist measures the heights of 16 seedlings and obtains a mean and standard deviation of 72.5 cm and 4.5 cm, respectively. F
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Answer:

c. [70.30, 74.70]

Step-by-step explanation:

Confidence interval is a range of values in which there is a specified probability that the value of a parameter lies within that range.

The confidence interval of a statistical data can be written as.

x+/-zr/√n .......1

Given;

Mean gain x = 72.5 cm

Standard deviation r = 4.5 cm

Number of samples n = 16

Confidence interval = 95%

z (at 95% confidence) = 1.96 (from the table)

Substituting the values we have into equation 1;

72.5 +/- 1.96×4.5/√16

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4 0
3 years ago
How many solutions does this have? 4x + 12 = -2x + 16
Novay_Z [31]

The equation  4x + 12 = -2x + 16 is one solution.

<h3>What is equation?</h3>

A statement of equality between two expressions consisting of variables and/or numbers.

Given:

4x + 12 = -2x + 16

Now solving for x

4x + 2x = 16 - 12

6x = 4

x= 4/6

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Hence, the equation  4x + 12 = -2x + 16 has one solution.

Learn more about equation here:

brainly.com/question/16255566

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6 0
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rewona [7]
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I hope this explains it.
3 0
4 years ago
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