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2 years ago

Need the answer for numbers 4,8,and 12

Mathematics

1 answer:

anzhelika [568]2 years ago

8 0

9514 1404 393

Answer:

4) -438.75

8) 539.68

12) 22.54

Step-by-step explanation:

Put the values in place of the corresponding variables and do the arithmetic.

4) 6xy = 6(-7 1/2)(9 3/4) = -6(7.5)(9.75) = -438.75

8) I = prt = $2442 × 0.085 × 2.6 = $539.68

12) I = prt = ($578)(0.0325)(1.2) = $22.54

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prisoha [69]

Answer:

3234=264

Step-by-step explanation:

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2 years ago

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Write the standard form of the equation of the circle that passes through the point

AnnZ [28]

Answer:

The standard form of the equation of the circle is $x^2+y^2=1$ .

Step-by-step explanation:

A circle is the set of points in a plane that lie a fixed distance, called the radius, from any point, called the center.

The equation of a circle in standard form is

$(x-h)^2+(y-k)^2=r^2$

where r is the radius of the circle, and h, k are the coordinates of its center.

When the center of the circle coincides with the origin $h=k=0$ , so

$(x-0)^2+(y-0)^2=r^2\\x^2+y^2=r^2$

We are also told that the circle contains the point (0, 1), so we will use that information to find the radius r.

$0^2+1^2=r^2\\r^2=0^2+1^2\\r^2=1\\r=\sqrt{1}$

Therefore, the standard form of the equation of the circle is $x^2+y^2=1$ .

5 0

3 years ago

Use the distributive property to rewrite and find 4 x (25 + 4). Thanks.

sesenic [268]

116 , (4 * 25) + ( 4 * 4 )
4 x (25 + 4)
4 * 25
4 * 4
(4 * 25) + ( 4 * 4 ) = Distributive Property
4 * 25 = 100
4 * 4 = 16
100 + 16 = 116

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3 years ago

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Which operation should be done first?

allochka39001 [22]

If square roots includes exponents then that one is first. but if not then it is division.

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2 years ago

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A certain insecticide kills 60% of all insects in laboratory experiments. A sample of 12 insects is exposed to the insecticide i

Vilka [71]

Answer:

The probability that exactly 10 insects will die

P( X = 10 ) = 0.06385

Step-by-step explanation:

Step(i):-

Given a certain insecticide kills 60% of all insects in laboratory experiments

Given proportion p = 0.60

q = 1 - 0.60 = 0.40

Given sample size 'n' = 12

Step(ii):-

Let "X' be the random variable of binomial distribution

$P(X=r) = n_{C_{r} } p^{r} q^{n-r}$

The probability that exactly 10 insects will die

$P(X=10) = 12_{C_{10} } (0.60)^{10} (0.40)^{12-10}$

$n_{C_{r} } = \frac{n!}{(n-r)!r!} = \frac{12!}{(12-10)!10!} = 66$

$P(X=10) = 66 X (0.60)^{10} (0.40)^{2} = 0.06385$

Final answer:-

The probability that exactly 10 insects will die

P( X = 10 ) = 0.06385

4 0

2 years ago