All categories

3 years ago

Slove for fg -9h= 10j to get g by itself

1 answer:

7 0

Simplifying fg + -9n = 10j Solving fg + -9n = 10j Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '9n' to each side of the equation. fg + -9n + 9n = 10j + 9n Combine like terms: -9n + 9n = 0 fg + 0 = 10j + 9n fg = 10j + 9n Divide each side by 'g'. f = 10g-1j + 9g-1n Simplifying f = 10g-1j + 9g-1n

You might be interested in

Find the surface area of the triangular prism

lesya692 [45]

The surface area of the triangular prism is 1664 square inches.

Explanation:

Given that the triangular prism has a length of 20 inches and has a triangular face with a base of 24 inches and a height of 16 inches.

The other two sides of the triangle are 20 inches each.

We need to determine the surface area of the triangular prism.

The surface area of the triangular prism can be determined using the formula,

$SA= bh+pl$

where b is the base, h is the height, p is the perimeter and l is the length

From the given the measurements of b, h, p and l are given by

$b=24$ , $h= 16$ , $l=20$ and

$p=20+20+24=64$

Hence, substituting these values in the above formula, we get,

$SA= (24\times16)+(64\times20)$

Simplifying the terms, we get,

$SA=384+1280$

Adding the terms, we have,

$SA=1664 \ square \ inches$

Thus, the surface area of the triangular prism is 1664 square inches.

6 0

3 years ago

In a survey of 603 adults, 98 said that they regularly lie to people conducting surveys. Create a 99% confidence interval for th

marysya [2.9K]

Answer:

The population proportion is estimated to be with 99% confidence within the interval (0.1238, 0.2012).

Step-by-step explanation:

The formula for estimating the population proportion by a confidence interval is given by:

$\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}$

Where:

$\hat{p}$ is the sample's proportion of success, which in this case is the people that regularly lie during surveys,

$z_{\alpha /2}$ is the critical value needed to find the tails of distribution related to the confidence level,

$n$ is the sample's size.

First we compute the $\hat{p}$ value:

$\hat{p}=\frac{successes}{n}=\frac{98}{603}=0.1625$

Next we find the z-score at any z-distribution table or app (in this case i've used StatKey):

$z_{\alpha /2}=2.576$

Now we can replace in the formula with the obtained values to compute the confidence interval:

$\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}=0.1625\pm 2.576\times\sqrt{\frac{0.1625\times(1-0.1625)}{603}}=(0.1238, 0.2012)$

5 0

3 years ago

The area of a circle is equal to 1 dm2. Find the radius of the circle.

lisov135 [29]

Answer:

2000

Step-by-step explanation:

1 dm =1000

2dm =?

2dm x 1000

1dm

2000

7 0

2 years ago

Help please. (Simple question)

vladimir1956 [14]

Both missing angles are 45°

3 0

3 years ago

The ratio between the volumes of two cubes is 125 to 216. what is the ratio between their respective surface areas?

MAVERICK [17]

Volume of a cube is length * width * height. Because it's a cube, all of these lengths are the same measurement so rather than doing V = l*w*h, we can do one of the measurements cubed, let's call it x.

So Volume = x³. So if we are given the volume, we can the length by doing the cube root.

∛125 = 5
∛216 = 6

Surface area of a cube = 6x². So now we plug both of these measurements into the formula.

For 5:

SA = 6(5)² = 6(25) = 150

For 6:

SA = 6(6)² = 6(36) = 216

The ratio of their surface areas is 150:216 or if you simplify it by dividing both by the GCF of 6, 25:36

8 0

3 years ago