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3 years ago

11

Mr nealy has $107.40 he withdrew $120 from the ATM. Does he have enough money to pay for the meal? If he has enough money, how m

uch change will he get back?

1 answer:

guapka [62]3 years ago

7 0

Answer: He has enough

Step-by-step explanation:120-107.40=12.60

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Negitive 1/5 n +7=2 solve quick first to get mark brainlest

antiseptic1488 [7]

Step-by-step answer:

-1/5n+7=2

-1/5n+7-7=2-7

-1/5n=-5

-1/5n/-1/5=-5/-1/5

n=25

4 0

3 years ago

Given sin(u)= -7/25 and cos(v) = -4/5, what is the exact value of cos(u-v) if both angles are in quadrant 3

solmaris [256]

Given:

$\sin (u)=-\dfrac{7}{25}$

$\cos (v)=-\dfrac{4}{5}$

To find:

The exact value of cos(u-v) if both angles are in quadrant 3.

Solution:

In 3rd quadrant, cos and sin both trigonometric ratios are negative.

We have,

$\sin (u)=-\dfrac{7}{25}$

$\cos (v)=-\dfrac{4}{5}$

Now,

$\cos (u)=-\sqrt{1-\sin^2 (u)}$

$\cos (u)=-\sqrt{1-(-\dfrac{7}{25})^2}$

$\cos (u)=-\sqrt{1-\dfrac{49}{625}}$

$\cos (u)=-\sqrt{\dfrac{625-49}{625}}$

On further simplification, we get

$\cos (u)=-\sqrt{\dfrac{576}{625}}$

$\cos (u)=-\dfrac{24}{25}$

Similarly,

$\sin (v)=-\sqrt{1-\cos^2 (v)}$

$\sin (v)=-\sqrt{1-(-\dfrac{4}{5})^2}$

$\sin (v)=-\sqrt{1-\dfrac{16}{25}}$

$\sin (v)=-\sqrt{\dfrac{25-16}{25}}$

$\sin (v)=-\sqrt{\dfrac{9}{25}}$

$\sin (v)=-\dfrac{3}{5}$

Now,

$\cos (u-v)=\cos u\cos v+\sin u\sin v$

$\cos (u-v)=\left(-\dfrac{24}{25}\right)\left(-\dfrac{4}{5}\right)+\left(-\dfrac{7}{25}\right)\left(-\dfrac{3}{25}\right)$

$\cos (u-v)=\dfrac{96}{625}+\dfrac{21}{625}$

$\cos (u-v)=\dfrac{1 17}{625}$

Therefore, the value of cos (u-v) is 0.1872.

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3 years ago

ANSWERRR LIKE ASAPPPPP, i'LL MARK AS BRAINLIST!

Umnica [9.8K]

Answer:

3.

Step-by-step explanation:

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3 years ago

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Question 12 The GPAs of all students enrolled at a large university have an approximately normal distribution with a mean of and

andreev551 [17]

Complete question :

The GPAs of all students enrolled at a large university have an approximately normal distribution with a mean of 3.02 and a standard deviation of .29.Find the probability that the mean GPA of a random sample of 20 students selected from this university is 3.10 or higher.

Answer:

0.10868

Step-by-step explanation:

Given that :

Mean (m) = 3.02

Standard deviation (s) = 0.29

Sample size (n) = 20

Probability of 3.10 GPA or higher

P(x ≥ 3.10)

Applying the relation to obtain the standardized score (Z) :

Z = (x - m) / s /√n

Z = (3.10 - 3.02) / 0.29 / √20

Z = 0.08 / 0.0648459

Z = 1.2336940

p(Z ≥ 1.2336) = 0.10868 ( Z probability calculator)

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3 years ago

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21 meters cubed. A sphere with height h a

8090 [49]

Answer:

C. 14 metres cubed

Step-by-step explanation:

The volume of a sphere is denoted by: $V=\frac{4}{3} \pi r^3$ , where r is the radius, while the volume of a cylinder is denoted by: $V=\pi r^2h$ , where r is the radius and h is the height.

Here, we know that the sphere and cylinder have the same radius and height. However, the "height" of the sphere is technically just the diameter, which is twice the radius. So, h = 2r. We know the volume of the cylinder is 21, so:

$V=\pi r^2h=\pi r^2*2r=2\pi r^3$

$21=2\pi r^3$

πr³ = 21/2 = 10.5

Now plug this into the volume of a sphere formula:

$V=\frac{4}{3} \pi r^3$

$V=\frac{4}{3} *10.5=14$

The answer is C, 14 metres cubed.

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3 years ago

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