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3 years ago

Please help *I’ll mark you as a brnlist please please ASAP ASAP please help me please

Mathematics

1 answer:

frosja888 [35]3 years ago

4 0

Answer:

12.6

Step-by-step explanation:

Given

with reference angle 57°

perpendicular (p) = y

hypotenuse (h) = 15

Now

sin 57° = p / h

0.84 = y / 15

y = 0.84 * 15

y = 12.6

Hope it will help :)

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A veterinarian weighed a sample of 666 puppies. Here are each of their weights (in kilograms): 1, 2, 7, 7, 10, 151,2,7,7,10,151,

rjkz [21]

Answer:

The standard deviation of the weight, σ, is approximately 4.73 kg

Step-by-step explanation:

The weights of the six puppies are;

$x_i$ = 1, 2, 7, 7, 10, and 15

The number of puppies, n = 6

Therefore, we have;

The mean = μ = ∑x/n = (1 + 2 + 7 + 7 + 10 + 15)/6 = 7

The standard deviation, σ, is given as follows;

$\sigma =\sqrt{\dfrac{\sum \left (x_i-\mu \right )^{2} }{n}}$

By substituting, we have;

$\sigma =\sqrt{\dfrac{ \left (1-7 \right )^{2} + \left (2-7 \right )^{2} + \left (7-7 \right )^{2} + \left (7-7 \right )^{2} + \left (10-7 \right )^{2} + \left (15-7 \right )^{2} }{6}}$

Simplifying gives;

$\sigma =\sqrt{\dfrac{ \left (-6 \right )^{2} + \left (-5 \right )^{2} + \left (0 \right )^{2} + \left (0 \right )^{2} + \left (3 \right )^{2} + \left (8 \right )^{2} }{6}} =\sqrt{\dfrac{ 36 + 25 + 0 +0+ 9 + 64 }{6}}$

$\sigma =\sqrt{\dfrac{ 134 }{6}} = \sqrt{\dfrac{67}{3} } \approx 4.72582$

The standard deviation of the weight, σ ≈ 4.73 kg to two decimal places.

4 0

3 years ago

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Jacob and Sara went to a restaurant, Jacob ordered a sandwich combo for $8.99 and Sarah ordered a salad combo for $7.95. They ag

Umnica [9.8K]

The answer is is 27.72

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3 years ago

The times a fire department takes to arrive at the scene of an emergency are normally distributed with a mean of 6 minutes and a

Kitty [74]

Answer:

Step-by-step explanation:

Let x be the random variable representing the times a fire department takes to arrive at the scene of an emergency. Since the population mean and population standard deviation are known, we would apply the formula,

z = (x - µ)/σ

Where

x = sample mean

µ = population mean

σ = standard deviation

From the information given,

µ = 6 minutes

σ = 1 minute

the probability that fire department arrives at the scene in case of an emergency between 4 minutes and 8 minutes is expressed as

P(4 ≤ x ≤ 8)

For x = 4,

z = (4 - 6)/1 = - 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.023

For x = 8

z = (8 - 6)/1 = 2

Looking at the normal distribution table, the probability corresponding to the z score is 0.98

Therefore,

P(4 ≤ x ≤ 8) = 0.98 - 0.23 = 0.75

The percent of emergencies that the fire department arrive at the scene in between 4 minutes and 8 minutes is

0.75 × 100 = 75%

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3 years ago

two planes, which are 1965 miles apart, fly toward each other. their speeds differ by 55mph. if they pass each other other in 3

Alexus [3.1K]

The speed of the planes are 300 miles per hour and 355 miles per hour.

<u>Solution:</u>

Given, Two planes are 1965 miles apart, flying toward each other.

Their speeds differ by 55 mph.

They pass each other in 3 hours,

We have to find what is the speed of each?

Let the speed of 1st plane be s miles per hour, then speed of the other plane will be s + 55 miles per hour.

And, distance travelled by 1st plane be d, then distance travelled by other plane will be 1965 – d miles

Now, we know that, distance = speed $\times$ time

So, for 1st plane ⇒ $\mathrm{d}=\mathrm{s} \times 3$

For 2nd plane ⇒ $1965-d=(s+55) \times 3$

By using 1st plane equation

1965 – 3s = 3s + 165

1965 – 165 = 3s + 3s

6s = 1800

s = 300

So, speed of 1st plane is 300 miles per hour, then speed of 2nd plane will be 300 + 55 = 355 miles per hour.

Hence, the speed of the planes are 300 miles per hour and 355 miles per hour.

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4 years ago

Solve the system of equations <br> 3x+4y=10 <br> 3x-4y=20

Vesnalui [34]

Answer:

x = 5

y = -1.25

Step-by-step explanation:

3x+4y=10

3x-4y=20

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

6x=30

x=5

3(5)-4y=20

15-4y=20

-4y=5

y=-1.25

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3 years ago

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