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2 years ago

Pls help me on this !!!

Mathematics

1 answer:

alexira [117]2 years ago

4 0

Answer:

Step-by-step explanation:

To solve this question you need the formula of hypothenuse theorem, I personally use $a^{2} + b^{2} = c^{2}$ .

Since $c^{2}$ is the hypothenuse, and the hypothenuse in this case is 15, the equation will be $12^{2}+ b^{2} = 15^{2}$ .

144+ $b^{2}$ =225

subtract 144 from both sides

$b^{2}$ = 81

$\sqrt{b^{} } = \sqrt{81}$

b=9

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solmaris [256]

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3 years ago

A quadratic equation is shown below:

sweet [91]

Answer:

Part A:

( 1.8333, -0.08333)

Part B:

x = 2 or x = 5/3

Step-by-step explanation:

The quadratic equation

$3x^{2}-11x+10=0$ has been given.

Part A:

We are required to determine the vertex. The vertex is simply the turning point of the quadratic function. We shall differentiate the given quadratic function and set the result to 0 in order to obtain the co-ordinates of its vertex.

$\frac{d}{dx}(3x^{2}-11x+10)=6x-11$

Setting the derivative to 0;

6x - 11 = 0

6x = 11

x = 11/6

The corresponding y value is determined by substituting x = 11/6 into the original equation;

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y = -0.08333

The vertex is thus located at the point;

( 1.8333, -0.08333)

Find the attached

Part B:

We can use the quadratic formula to solve for x as follows;

The quadratic formula is given as,

$x=\frac{-b+/-\sqrt{b^{2}-4ac } }{2a}$

From the quadratic equation given;

a = 3, b = -11, c = 10

We substitute these values into the above formula and simplify to determine the value of x;

$x=\frac{11+/-\sqrt{11^{2}-4(3)(10) } }{2(3)}=\frac{11+/-\sqrt{1} }{6}\\\\x=\frac{11+/-1}{6}\\\\x=\frac{11+1}{6}=2\\\\x=\frac{11-1}{6}=\frac{5}{3}$

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3 years ago

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yaroslaw [1]

Answer:

Step-by-step explanation:

First expand the expression so you know the coefficients of x and y.

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3 years ago

To estimate the percentage of defects in a recent manufacturing batch, a quality control manager at General Foods selects every

Hoochie [10]

Answer:

B. Systematic

Step-by-step explanation:

<em>Since Quality Control Manager is selecting every 10th soup. This type of Sampling Method is called Systematic Sampling.</em>

Further,

If the whole population is divided into many groups(strata) such that between the group units are heterogeneous and within the group units are homogeneous then units are randomly selected from these groups. This type of sampling is called Stratified Sampling.

If the sampling is done by any criteria then this type of sampling method is called Systematic Sampling. Like observer is taken every 5th unit as a sample.

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If the observers collect the sample as his\her convenience, then this type of sampling method is called Convenience Sampling.

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3 years ago