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ra1l [238]
3 years ago
15

there are 65 cookies in a jar. the probability of randomly choosing an oatmeal cookie from the jar is 40% how many of the cookie

s are oatmeal cookies pls help
Mathematics
2 answers:
ale4655 [162]3 years ago
4 0
25 cookies are oatmeal
natulia [17]3 years ago
3 0

Answer:

25

Step-by-step explanation:

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Complete the equation of the line through (3,-8)(3,−8)left parenthesis, 3, comma, minus, 8, right parenthesis and (6,-4)(6,−4
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y=mx+b
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substitute:\\\\  \left\{\begin{array}{ccc}-8=3m+b\\-4=6m+b&|\cdot(-1)\end{array}\right\\\\\underline{+\left\{\begin{array}{ccc}-8=3m+b\\4=-6m-b\end{array}\right}\ \ \ |add\ both\ sides\\.\ \ \ \ -4=-3m\ \ \ |:(-3)\\.\ \ \ \ m=\dfrac{4}{3}\\\\substitute\ the\ value\ of\ m\ to\ first\ equation:\\\\3\cdot\dfrac{4}{3}+b=-8\\\\4+b=-8\ \ \ |-4\\b=-12\\\\Answer:\boxed{y=\dfrac{4}{3}x-12}
4 0
3 years ago
A rectangle has vertices located at (–4, 4), (2, 4), (2, –4) and (–4, –4). What is the length of a diagonal of the rectangle?
Allisa [31]

Answer:

A diagonal of this rectangle has length 10.

Step-by-step explanation:

The vertices (-4, 4) and (-4, -4) have the same x-coordinate (-4) and different y-coordinates (4 and -4).  These two points are the endpoints of a vertical side of the rectangle which has length 4 - (-4) = 8.

Similarly, the vertices (2, -4) and (-4, -4) have the same y-coordinate (-4) but different x-coordinates (2 and -4).  To find the horizontal dimension of the rectangle, we calculate 2 - (-4), which comes out to 6.

Thus, the width of the rectangle is 6 and the length is 8.

Using the Pythagorean Theorem, we find the length of a diagonal as follows:

d = √(6^2 + 8^2) = √(36 + 64) = √100 = 10.

A diagonal of this rectangle has length 10.

5 0
3 years ago
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