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HACTEHA [7]
2 years ago
5

Corey walked three blocks east and then six blocks north. All the blocks were the same length. What is the value of the slope of

the line from where Corey began walking to where he finished?
Mathematics
2 answers:
serg [7]2 years ago
8 0
You can set up an equation of a line where it has a slope-intercept form written as y=mx + b where m is the slope and b is the y-intercept. The slope is calculated by the change in y over  the change in x. Hope this answers the question. Have a nice day
katen-ka-za [31]2 years ago
6 0

The answer is 2........................................

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Cora is playing a game that involves flipping three coins at once. Let the random variable HHH be the number of coins that land
arlik [135]

Answer:

0.875

Step-by-step explanation:

P(H=0) = 0.125

P(H=1) = 0.375

P(H=2) = 0.375

P(H=3) = 0.125

P(H<3) = P(H=0) + P(H=1) + P(H=2)

P(H<3) = 0.125 + 0.375 + 0.375

P(H<3) = 0.875

4 0
2 years ago
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Lance is at the grocery store and has three options for buying boxed mac 3 points
Nataly [62]

Answer:b

Step-by-step explanation:

Because it b

3 0
2 years ago
A rectangular piece of plywood has a diagonal which measures two feet more than the width. The length of the plywood is twice th
icang [17]

Answer:

The length of the plywood's diagonal(to the nearest tenth) is, 3.6 and 1.4

Step-by-step explanation:

let l be the length and w be the width of the rectangle respectively;

Diagonal(D) of a rectangle is given by:

D = \sqrt{l^2+w^2}                              ......[1]

As per the given statement we have;

Diagonal(D) = width + 2

and

l = 2 \times w = 2w

Now, substitute these in  [1] we have;

\sqrt{(2w)^2+w^2} = w+5

Squaring both the sides we get;

4w^2+w^2 = (w+2)^2

5w^2 = w^2 + 4 + 4w

or

5w^2 -w^2 = 4w + 4 or

4w^2= 4w + 4

Simplify:

w^2-w-1 =0                         ......[2]

The quadratic equation is in the form  of ax^2+bx+c = 0

the solution is given by:  x = \frac{-b \pm\sqrt{b^2-4ac}}{2a}

On comparing with [1] we get

a= 1 , b = -1 and c = -1

Then the solution is:

w= \frac{-(-1) \pm\sqrt{(-1)^2-4(1)(-1)}}{2(1)}

w =\frac{1 \pm\sqrt{1+4}}{2} = \frac{1 \pm\sqrt{5}}{2}

Simplify:

w \approx 1.62 and w \approx -0.62

Then, the diagonal D = w+2

For w \approx 1.62

D = 1.62 +2 \approx 3.62

For w \approx -0.62

D =-0.62 +2 \approx 1.38

therefore, the length of the plywood's diagonal(to the nearest tenth) is, 3.6 and 1.4





5 0
2 years ago
a school district requires all graduating seniors to take a mathematics test. This year, the rest scores were approximately norm
Klio2033 [76]
A score of 85 would be 1 standard deviation from the mean, 74.  Using the 68-95-99.7 rule, we know that 68% of normally distributed data falls within 1 standard deviation of the mean.  This means that 100%-68% = 32% of the data is either higher or lower.  32/2 = 16% of the data will be higher than 1 standard deviation from the mean and 16% of the data will be lower than 1 standard deviation from the mean.  This means that 16% of the graduating seniors should have a score above 85%.
3 0
2 years ago
Five and nine tenths in expanded form and standard
nika2105 [10]

Answer:

  • 5×1 +9×0.1
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Step-by-step explanation:

The verbiage "five and nine tenths" can refer to the mixed number 5 9/10, or to the decimal in standard form, 5.9. Simply converting the phrase to a decimal gets you the standard form.

The expanded form can be written a number of ways, depending on how you like to show the place value multipliers. The simplest expanded form is simply the sum of the digits:

  5 + 0.9

You can show the multipliers in standard form:

  5×1 + 9×0.1

Or, you can show the multipliers in exponential form:

  5×10⁰ +9×10⁻¹

3 0
2 years ago
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