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11111nata11111 [884]
3 years ago
8

Can someone please help me

Mathematics
1 answer:
Vsevolod [243]3 years ago
5 0
The restrictions for the equation is that the denominator can not be zero. So the restrictions for x would be what values make the denominator zero.

7x^2 + 6x = 0
factor
x(7x + 6) = 0
multiply any number by 0 and you get 0. So either x = 0 or 7x+6 = 0
since there's a x in the numerator x/x = 1 so this will not be a restriction. Then the only restriction is:
7x+6 = 0
7x = -6
x = -6/7
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A cylindrial hole is cut through the cylinder below.
Vika [28.1K]

Answer:

V=1884 Cubic mm

Step-by-step explanation:

We know that the volume of the Sphere is given by the formula

V= \pi r^2h

Where r is the radius and h is the height of the cylinder

We are asked to determine the radius of the hollow cylinder , which will be the difference of the solid cylinder and the cylinder being carved out.

V=V_1-V_2

V=\pi r_1^2 \times h-\pi r_2^2 \times h

V=\pi \times h \times (r_1^2-r_2^2)

Where

V_1 is the the volume of solid cylinder with radius r_1 and height h

V_2 is the volume of the cylinder being carved out with radius r_2 and height h

where

r_1 = 7 mm ( Half of the bigger diameter )

r_2 = 5 mm ( Half of the inner diameter )

h=25 mm

Putting these values in the formula for V we get

V=\pi \times 25\times (7^2-5^2)

V=3.14 \times 25 \times(49-25)

V=3.14 \times 25 \times 24

V= 1884

3 0
3 years ago
An ice cream cone has a height of 14 cm and
sergejj [24]

Answer:

height of cone(h)=14cm

volume of cone(v)=528cm³

radius of cone =?

now,

by using formula

  • v=1/3πr²h
  • 528=1/3A×r²×14
  • r²=113.14
  • r=4.83cm

hope it helps.

6 0
3 years ago
An article regarding interracial dating and marriage recently appeared in the Washington Post. Of the 1,709 randomly selected ad
VMariaS [17]

Answer:

The 95% confidence interval for the percent of all black adults who would welcome a white person into their families is (0.8222, 0.8978).

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

323 blacks, 86% of blacks said that they would welcome a white person into their families. This means that n = 323, p = 0.86

95% confidence level

So \alpha = 0.05, z is the value of Z that has a pvalue of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.86 - 1.96\sqrt{\frac{0.86*0.14}{323}} = 0.8222

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.86 + 1.96\sqrt{\frac{0.86*0.14}{323}} = 0.8978

The 95% confidence interval for the percent of all black adults who would welcome a white person into their families is (0.8222, 0.8978).

5 0
3 years ago
Find the variance of: 6 6 7 8 10 10​
marta [7]
<h3>3.368</h3>

Step-by-step explanation:

I hope this helps!!!!!

7 0
2 years ago
Solve the following equation for the variable x. ( 1/27 is a fraction )
igor_vitrenko [27]
The answer is,
\frac{10935}{59048}
Also equivalent to about, 0.185188.
5 0
3 years ago
Read 2 more answers
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