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Sonja [21]
3 years ago
6

Help how do yall find this easy i cannot-

Mathematics
1 answer:
IgorC [24]3 years ago
7 0

Answer:

153/50 or 3.06

Step-by-step explanation:

Just convert them into improper fractions and put parenthesis around the numbers with a division symbol in the middle of the two numbers.

Ex. (3/2)*(4/3)

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The percentage of discount is 40%
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What is the answer to -6+(-4)
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The answer to your question would be -10
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A particular automatic sprinkler system has two different types of activation devices for each 3 sprinkler head. One type has a
zmey [24]

Answer:

There is an 85% probability that the sprinkler head will be activated.

Step-by-step explanation:

We have these following probabilities:

50% of the first sprinkler being triggered

90% of the first sprinkler being reliable

50% of the second sprinkler being triggered

80% of the second sprinkler being reliable.

What is the probability that the sprinkler head will be activated?

P = P_{1} + P_{2}

P_{1} is the probability of the first sprinkler being triggered and activated. So:

P_{1} = 0.5*0.9 = 0.45

P_{2} is the probability of the second sprinkler being triggered and activated. So:

P_{2} = 0.5*0.8 = 0.40

P = P_{1} + P_{2} = 0.40 + 0.45 = 0.85

There is an 85% probability that the sprinkler head will be activated.

6 0
3 years ago
Brandon is cutting 9 boards for a woodworking project. Each board is 4 5/8 feet long. What is the total length of the boards
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What is the equation of the quadratic graph with a focus of (-4,17/8) and a directrix of y=15/8
Temka [501]
So hmm notice the graph below

based on where the focus point is at, and the directrix, then, the parabola is opening upwards, meaning the squared variable is the "x"

\bf \begin{array}{llll}&#10;(y-{{ k}})^2=4{{ p}}(x-{{ h}}) \\\\&#10;\boxed{(x-{{ h}})^2=4{{ p}}(y-{{ k}})}\\&#10;\end{array}&#10;\qquad &#10;\begin{array}{llll}&#10;vertex\ ({{ h}},{{ k}})\\\\&#10;{{ p}}=\textit{distance from vertex to }\\&#10;\qquad \textit{ focus or directrix}&#10;\end{array}

now, keep in mind, the vertex is at coordinates h,k
the vertex itself is half-way between the focus and directrix
the directrix is at y=15/8 and the focus is at y=17/8
so, half-way will then be \bf \cfrac{17}{8}-\cfrac{15}{8}=\cfrac{2}{8}\iff \cfrac{1}{4}

well, so is 1/4 between the focus point and the directrix, half of that is 1/8
so, if you move from the focus point 1/8 down, you'll get the y-coordinate for the vertex, or 1/8 up from the directrix, since the vertex is equidistant to either

what's the "p" distance? well, we just found it, is just 1/8

so, the x-coordinate is obviously -4, get the y-coordinate by 17/8 - 1/8   or 15/8 + 1/8

and plug your values (x-h)² = 4p(y-k)   and then solve for "y", that's the equation of the quadratic

4 0
3 years ago
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