What is the slope of the line that passes through the points (-9, 2) and (0.4)

Find a constant c for which p(z ≥ c.= 0.1587. round the answer to two decimal places.

Vikki [24]

What you see in the z score table is P(z< a constant), for P( z≥ a number), subtract the probability from 1:
1-0.1587=0.8413
on the z score table, you will see that p(z<1.00)=0.8413
so c=1.00

8 0

2 years ago

To the nearest tenth of a degree, ﬁnd the sizes of the acute angles in the 7-24-25 right

fiasKO [112]

First of all, just to avoid being snookered by a trick question, we should verify that these are really right triangles:

7² + 24² really is 25² , and 8² + 15² really is 17² , so we're OK there.

In the first one:
sin(one acute angle) = 7/25 = 0.28
the angle = sin⁻¹ (0.28) = 16.26°
the other acute angle = (90° - 16.26°) = 73.74°

In the second one:
sin(one acute angle) = 8/17 = 0.4706...
the angle = sin⁻¹ (0.4706...) = 28.07°
the other acute angle = (90° - 28.07°) = 61.93°

I'm sorry, but just now, I don't know how to do the
third triangle in the question.

7 0

3 years ago

У = х — 22 Perpendicular?

Romashka-Z-Leto [24]

Answer:

i got y=-x

Step-by-step explanation:

c

7 0

3 years ago

Find f. A) 7.4 B) 8.2 C) 10.5 D) 11.1

tatyana61 [14]

F=72

g=6

------------

$\cos { \left( F \right) } =\frac { { e }^{ 2 }+{ g }^{ 2 }-{ f }^{ 2 } }{ 2eg }$

Therefore:

$\cos { \left( 72 \right) } =\frac { { e }^{ 2 }+{ 6 }^{ 2 }-{ f }^{ 2 } }{ 2\cdot e\cdot 6 } \\ \\ \cos { \left( 72 \right) } =\frac { { e }^{ 2 }+36-{ f }^{ 2 } }{ 12e }$

$\\ \\ 12e\cdot \cos { \left( 72 \right) } ={ e }^{ 2 }+36-{ f }^{ 2 }\\ \\ \therefore \quad { f }^{ 2 }={ e }^{ 2 }-12e\cdot \cos { \left( 72 \right) } +36\\ \\ \therefore \quad f=\sqrt { { e }^{ 2 }-12e\cdot \cos { \left( 72 \right) +36 } } \\ \\ \therefore \quad f=\sqrt { e\left( e-12\cos { \left( 72 \right) } \right) +36 }$

But what is e?

E=76

G=32

g=6

And:

$\frac { e }{ \sin { \left( E \right) } } =\frac { g }{ \sin { \left( G \right) } }$

Which means that:

$\frac { e }{ \sin { \left( 76 \right) } } =\frac { 6 }{ \sin { \left( 32 \right) } } \\ \\ \therefore \quad e=\frac { 6\cdot \sin { \left( 76 \right) } }{ \sin { \left( 32 \right) } }$

If you take this value into account, you will discover that f is...

$f=\sqrt { \frac { 6\cdot \sin { \left( 76 \right) } }{ \sin { \left( 32 \right) } } \left( \frac { 6\cdot \sin { \left( 76 \right) } }{ \sin { \left( 32 \right) } } -12\cos { \left( 72 \right) } \right) +36 } \\ \\ \therefore \quad f=10.8\quad \left( 1\quad d.p \right)$

So I would have to say that the answer is approximately (c).

6 0

2 years ago

Do not multiply by pi. Just use the whole number and do not try to include pi in the

IrinaK [193]

Answer:

Surface area = 1808.64in² and volume is 7234.56in³

Step-by-step explanation:

The figure above is a sphere, and it has a diameter of 24in

Radius = ?

Radius = diameter / 2

R = 24 / 2

R = 12in

Surface area of of sphere = 4πr²

Volume of a sphere = 4/3 πr³

π = 3.14

1. Surface area = 4 * 3.14 * 12²

Surface area = 4 * 3.14 * 144

Surface area = 1808.64in²

2. Volume of the sphere = 4/3πr³

Volume = 4/3 * 3.14 * 12³

Volume = 4/3 * 3.14 * 1728

Volume = 7234.56in³

The surface area of the sphere is 1808.64in² and the volume is 7234

56in³

4 0

3 years ago