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Snezhnost [94]
2 years ago
10

Nestor works at a garden center where he pots plants. It takes him 2 1/2 hours to pot 15 plants.

Mathematics
1 answer:
insens350 [35]2 years ago
5 0

Answer: 6

Step-by-step explanation:

per half an hour he plants 3  so in an hour he plants 6

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Find the missing side lengths. Leave your answers as radicals in simplest form.
steposvetlana [31]

The length of missing sides x = 5 units and y = 5 units.

<h3>What is Trigonometric ratios?</h3><h3>The six trigonometric ratios are sine (sin), cosine (cos), tangent (tan), cotangent (cot), cosecant (cosec), and secant (sec).</h3>

In ΔABC,

AB (Base) = y  ,      BC(Hypotenuse) = 5\sqrt{2}   ,       CA (perpendicular) = x

and ∠ABC = 45^0

Now,

tan 45^0  = perp. / base

1 = x /y

x= y .................(i)

again,

sin 45^0 = perp. / Hypo.

\frac{1}{\sqrt{2} } = \frac{x}{5\sqrt{2} }

x = 5

put in equation (i), we get

y = 5

Thus, the length of missing side of the given triangle is x = 5 units and y =  5 units.

Learn more about trigonometric ratios from :

brainly.com/question/1201366

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6 0
2 years ago
Write a doubles fact that help you solve 6+5=11
Kipish [7]
5 plus five plus 1 that's what I could make.(hope it helps!!!)
5 0
3 years ago
Which of the following equations has a graph that passes through (3, 3) and has a slope of −2?
Tatiana [17]

Answer:

y - y1 = m(x - x1)

y - -3 = 3(x - 1)

y + 3 = 3x - 3

     y = 3x - 3 - 3

     y = 3x - 6

     y = 3x - 6

Step-by-step explanation:

Thie equation is in slope-intercept form (y = mx + b)

The y-intercept is -6 .... ((0, -6) is one point on the line.

It is given that (1, -3) is also on the line. So to graph, plot those

2 points and connect them with a line.

7 0
3 years ago
Read 2 more answers
What is the formula for the expected number of successes in a binomial experiment with n trials and probability of success​ p? C
charle [14.2K]

Answer:

(D)E[ X ] =np.

Step-by-step explanation:

Given a binomial experiment with n trials and probability of success​ p,

f(x)=\left(\begin{array}{c}n\\k\end{array}\right)p^x(1-p)^{n-x}, 0\leq  x\leq n

E(X)=\sum_{x=0}^{n}xf(x)= \sum_{x=0}^{n}x\left(\begin{array}{c}n\\k\end{array}\right)p^x(1-p)^{n-x}

Since each term of the summation is multiplied by x, the value of the term corresponding to x = 0 will be 0. Therefore the expected value becomes:

E(X)=\sum_{x=1}^{n}x\left(\begin{array}{c}n\\x\end{array}\right)p^x(1-p)^{n-x}

Now,

x\left(\begin{array}{c}n\\x\end{array}\right)= \frac{xn!}{x!(n-x)!}=\frac{n!}{(x-)!(n-x)!}=\frac{n(n-1)!}{(x-1)!((n-1)-(x-1))!}=n\left(\begin{array}{c}n-1\\x-1\end{array}\right)

Substituting,

E(X)=\sum_{x=1}^{n}n\left(\begin{array}{c}n-1\\x-1\end{array}\right)p^x(1-p)^{n-x}

Factoring out the n and one p from the above expression:

E(X)=np\sum_{x=1}^{n}n\left(\begin{array}{c}n-1\\x-1\end{array}\right)p^{x-1}(1-p)^{(n-1)-(x-1)}

Representing k=x-1 in the above gives us:

E(X)=np\sum_{k=0}^{n}n\left(\begin{array}{c}n-1\\k\end{array}\right)p^{k}(1-p)^{(n-1)-k}

This can then be written by the Binomial Formula as:

E[ X ] = (np) (p +(1 - p))^{n -1 }= np.

5 0
3 years ago
What type of number is the square root of 3
galina1969 [7]

Answer:

Irrational

Step-by-step explanation:

Since √3 is a non-terminating decimal (it repeats forever), it will be an irrational number.

6 0
3 years ago
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