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Agata [3.3K]
3 years ago
14

henry has a fair number pyramid with four faces and a spinner with three equal size colored section. the possible outcomes for e

ach are shown below. what is the probability that the number pyramid will land on 3 and the spinner will stop on blue
Mathematics
1 answer:
Leya [2.2K]3 years ago
8 0
Assuming the pyramid is numbered 1 to 4 and there are 3 colors on the spinner, the probability of landing on 3 and blue is 1/12.

To find the combined probability, we just multiply the 2 individual probabilities.

P(3) = 1/4
P(blue) = 1/3

1/4 x 1/3 = 1/12
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The scale factor for a model is 5cm= m model: 9.5cm actual : 30.5m
MaRussiya [10]

We are given dimensions of model and actual figure.

model: 9.5cm actual : 30.5m.

We need to find the length of actual shape for the scale factor 5cm.

Let us assume actual length be x m.

Let us set a proportion now.

<h3>5 : x = 9.5 : 30.5</h3>

Let us convert proportion into fractions.

\frac{5}{x}=\frac{9.5}{30.5}

On cross multiplying, we get

9.5x = 5× 30.5

9.5x = 152.5.

On dividing both sides by 9.5, we get

\frac{9.5x}{9.5}=\frac{152.5}{9.5}

x=16.05.

<h3>Therefore, the scale factor for a model is 5cm= 16.05 m.</h3>

6 0
3 years ago
What would m equal if -6.85+m/4=-11​
BARSIC [14]

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4 0
3 years ago
Help! It says that I need to determine If both equations represent lines which are parallel, perpendicular, or none...
12345 [234]
    4x + 2y = 8     (1)
    8x + 4y = -4y  (2)

A) Two lines are parallel if they have the same gradient
       - putting both equations into the gradient- intercept form ( y = mx + c                where m is the gradient)
            (1) 4x + 2y = 8
                          2y = 8 - 4x
                            y = -2x + 4
             
            (2) 8x + 4y = -4y
      <span>                    </span>8x = -4y - 4y
                            y = \frac{-8x}{-8}
                            y = -x
   <span>Thus the gradient of the two equations are different and as such          the two lines are not parallel
</span>
B)  When two lines are perpendicular, the product of their gradient is -1
                   m_{1} * m_{2} = p
                                             p = (-2) * (-1)
                                             p =  2
<span>          ∴ the two lines are not perpendicular either.</span>

Thus these lines are SKEWED LINES

4 0
2 years ago
Find each value if f(x) = 2x - 1 and g(x) = 2 - x2.
bixtya [17]
Well i don’t know i just need me pints but sorry i’m so sorry
3 0
3 years ago
HELP DUE IN 5 MINUTES​
Daniel [21]

\huge \mathfrak \blue{Solution \:  - }

The formula for area of triangle is -

\frac{1}{2}   \times base \times height

________________________________

So, the area of first triangle =

\frac{1}{2}  \times base \:  \times height

\frac{1}{2}  \times 4  \times 3

=  \pink{6  \: units}

________________________________

Area of second triangle =

\frac{1}{2 }  \times base \times height

\frac{1}{2}  \times 4 \times 6

=  \pink {12 \:  units}

________________________________

Area of second triangle - Area of first triangle

= 12 - 6

= 6

\sf \underline\purple{The \: area \: increases \: by \: 6 \: square \: units.}

3 0
3 years ago
Read 2 more answers
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