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3 years ago

7

The base of the regular triangular pyramid has sides that are 14 cm with a height of 12.1 cm. The slant height of the pyramid is

12.1 cm. What is the surface area of the pyramid?

1 answer:

KatRina [158]3 years ago

6 0

Answer:ni

Step-by-step explanation:

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The operations manager of a large production plant would like to estimate the mean amount of time a worker takes to assemble a n

xz_007 [3.2K]

Answer:

(15,595, 16,805)

Step-by-step explanation:

We have to:

m = 16.2, sd = 3.75, n = 150

m is the mean, sd is the standard deviation and n is the sample size.

the degree of freedom would be:

n - 1 = 150 - 1 = 149

df = 149

at 95% confidence level the t is:

alpha = 1 - 95% = 1 - 0.95 = 0.05

alpha / 2 = 0.05 / 2 = 0.025

now well for t alpha / 2 (0.025) and df (149) = t = 1,976

the margin of error = E = t * sd / (n ^ (1/2))

replacing:

E = 1,976 * 3.75 / (150 ^ (1/2))

E = 0.605

The 95% confidence interval estimate of the popilation mean is:

m - E <u <m + E

16.2 - 0.605 <u <16.2 + 0.605

15,595 <u <16,805

(15,595, 16,805)

5 0

3 years ago

Please answer the question now in two minutes

oksian1 [2.3K]

Answer:

Coordinates of point P is $(-14,3)$ .

Step-by-step explanation:

Given that mid point of line segment $\overline {PQ}$ is at <em>M(-9, 8.5).</em>

Q is at <em>(-4, 14)</em>.

Let coordinate of P be $(x,y)$ .

Using the ratio, we can say the following:

<em>The coordinates of mid point</em> $(X,Y)$ of a line with endpoints $(x_1, y_1)$ and $(x_2, y_2)$ is given as:

$X=\dfrac{(x_1+ x_2)}{2}$

$Y=\dfrac{(y_1+ y_2)}{2}$

Using the formula for above given dimensions:

$-9 =\dfrac{x+(-4)}{2}\\\Rightarrow x = -18+4 = -14$

$8.5=\dfrac{(14+ y)}{2}\\\Rightarrow y = 17-14 =3$

So, the <em>coordinates of point P are</em> $(-14,3)$ .

6 0

3 years ago

PLSSS HELP THIS IS HARD ANYONE

Nikolay [14]

Answer:

270 degrees counterclockwise rotation/ the last answer

Step-by-step explanation:

reflection over the y axis wouldn't work bc the shape would still be a horizontal rectangle

dilation would change the size of the shape

and translation wouldn't map it correctly bc it would still be turned the wrong way

3 0

3 years ago

Read 2 more answers

Volume of a Sphere =

Fofino [41]

The answer is C I think

7 0

3 years ago

Gannon has deposited $742 in a savings account that earns interest at a rate of 3.4% compounded monthly. What will the account b

marta [7]

Firstly, solve the effective annual interest (ieff) with the equation,

ieff = (1 + i/m)^m -1

where i is the interest rate and m is the number of times the interest is compounded in a year. In this problem, m is 12

Substituting the values,
ieff = (1 + 0.034/12)^12 - 1 =0.03453

To solve for the future (F) amount of the present investment (P),

F = P x (1 + ieff)^n

where n is number of years.

F = ($742) x (1 + 0.03453)^15

Thus, the answer is $1234.76.

7 0

3 years ago