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3 years ago

Which expression represents the volume of the pyramid?

Mathematics

1 answer:

GREYUIT [131]3 years ago

6 0

Answer:

V = 1/3 (s²)(h)

Step-by-step explanation:

I don't see this in the answer choices you gave but it should be V = 1/3 (s²)(h), because the formula for the volume of a pyramid is V = 1/3 Bh

The base is a square so it would be s² and the height is h

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NEED HELP ASAP PLS

harina [27]

Answer:

2/1 or 2overrun

Step-by-step explanation:

You can see that the rais/run for C to D is 2/1. So that would be the slope.

5 0

3 years ago

Simplify each expression

Simora [160]

$2x-2y-6x-3-2y+6=(2x-6x)+(-2y-2y)+(-3+6)\\\\=-4x-4y+3\\\\3x+4y+2y-4+5y-10=(3x)+(4y+2y+5y)+(-4-10)\\\\=3x+11y-14\\\\3x-6y-6+2x+6y+2=(3x+2x)+(-6y+6y)+(-6+2)\\\\=5x-4\\\\8x+2y+3x-9y+3x^2-2y=(3x^2)+(8x+3x)+(2y-9y-2y)\\\\=3x^2+11x-9y$

3 0

3 years ago

A magazine provided results from a poll of 500500 adults who were asked to identify their favorite pie. Among the 500500 respon

Komok [63]

Answer:

99% confidence interval is wider as compared to the 80% confidence interval.

Step-by-step explanation:

We are given that a magazine provided results from a poll of 500 adults who were asked to identify their favorite pie.

Among the 500 respondents, 14% chose chocolate pie, and the margin of error was given as plus or minus ±3 percentage points.

The pivotal quantity for the confidence interval for the population proportion is given by;

P.Q. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of adults who chose chocolate pie = 14%

n = sample of adults = 500

p = true proportion

Now, the 99% confidence interval for p = $\hat p \pm Z_(_\frac{\alpha}{2}_) \times \sqrt{\frac{\hat p(1-\hat p)}{n} }$

Here, $\alpha$ = 1% so $(\frac{\alpha}{2})$ = 0.5%. So, the critical value of z at 0.5% significance level is 2.5758.

Also, Margin of error = $Z_(_\frac{\alpha}{2}_) \times \sqrt{\frac{\hat p(1-\hat p)}{n} }$ = 0.03 for 99% interval.

So, 99% confidence interval for p = $0.14 \pm2.5758 \times \sqrt{\frac{0.14(1-0.14)}{500} }$

= [0.14 - 0.03 , 0.14 + 0.03]

= [0.11 , 0.17]

Similarly, 80% confidence interval for p = $0.14 \pm 1.2816 \times \sqrt{\frac{0.14(1-0.14)}{500} }$

Here, $\alpha$ = 20% so $(\frac{\alpha}{2})$ = 10%. So, the critical value of z at 10% significance level is 1.2816.

Also, Margin of error = $Z_(_\frac{\alpha}{2}_) \times \sqrt{\frac{\hat p(1-\hat p)}{n} }$ = 0.02 for 80% interval.

So, 80% confidence interval for p = [0.14 - 0.02 , 0.14 + 0.02]

= [0.12 , 0.16]

Now, as we can clearly see that 99% confidence interval is wider as compared to 80% confidence interval. This is because more the confidence level wider is the confidence interval and we are more confident about true population parameter.

5 0

4 years ago

-8-n=-3(2n-4) solve for n please help

Masja [62]

-8-n=-6n+12
+8. +8
-n=-6n+20
+6n +6n
5n=20
5. 5
n=4

5 0

3 years ago

Solve the equation 2p/3-12=-2

-BARSIC- [3]

Hey there!

$\frac{2p}{3} - 12 = -2$

Firstly, we are going add $12$ on each of the sides that we're working with. like ↓

$p - 12 + 12 \\ \\ = -2 + 12$

This gives us $\frac{2}{3}p = 10$ (if you are wondering how we got the out come of $10$ it is because I added $-2 + 12 = 10$

Now multiply $\frac{3}{2}$ on each of your sides

$\frac{3}{2} ( \frac{2}{3}p) \\ \\ = \frac{3}{2} (10)$

Cancel the first set and you will find the value of $p$

$p = 15$

Good luck on your assignment and enjoy your day

~ $LoveYourselfFirst:)$

5 0

3 years ago