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Varvara68 [4.7K]

2 years ago

12

Q6. The diagram shows that a ship sails 34 nautical miles from its port. Then after sailing 19 nautical miles due east, it is di

rectly north of the port. How far is the ship from the port?

1 answer:

WARRIOR [948]2 years ago

4 0

the answer is... it might be tricky but the answer is

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Scores on an exam follow an approximately bell shaped distribution with a mean of 76.4 and a standard deviation of 6.1 points. A

Crazy boy [7]

Answer:

b) 95%

Step-by-step explanation:

We have been given that scores on an approximately bell shaped distribution with a mean of 76.4 and a standard deviation of 6.1 points. We are asked to find the percentage of the data that is between 64.2 points and 88.6 points.

First of all, we will find z-scores of each data point as:

$z=\frac{x-\mu}{\sigma}$

$z=\frac{64.2-76.4}{6.1}$

$z=\frac{-12.2}{6.1}$

$z=-2$

Let us find z-score corresponding to normal score 88.6.

$z=\frac{88.6-76.4}{6.1}$

$z=\frac{12.2}{6.1}$

$z=2$

To find the percentage of the data is between 64.2 points and 88.6 points, we need to find area under a normal distribution curve that lie within two standard deviation of mean.

The empirical rule of normal distribution states that approximately 95% of data points fall within two standard deviation of mean, therefore, option 'b' is the correct choice.

6 0

3 years ago

Nine divided by three tenths

gizmo_the_mogwai [7]

Answer:

30

Step-by-step explanation:

Q: (9/(3/10))

To solve, change the division sign to multiplication, and flip the denominator fraction.

(9/(3/10)) = 9 * (10/3)

Simplify. Multiply, then divide.

(9 * 10)/3 = (90)/3 = 30

30 is your answer.

~

6 0

3 years ago

Read 2 more answers

The side of a square is 2.5 cm. Find its perimeter and area.

Neko [114]

Answer:

Perimeter = 10 cm

Area = 6.25 cm²

Step-by-step explanation:

$\bf \: Given :$

$\sf \: Side \: of \: the \: square = 2.5 \: cm$

$\bf \: To \: find:$

$\rightarrow \sf \: Perimeter$

$\sf\rightarrow Area$

$\bf \: Solution :$

$\rm \: First \: w e \: need \: to \: find \: out \: the \: perimeter \: o f \: it.$

So to find the Perimeter of the square, we'll use this formula :

$\boxed{ \sf\longrightarrow \: Perimeter = 4 \times side}$

$\bf \: Step \: 1 : \rm \: Put \: the \: value \: of \: side \: of \: the \: square :$

$\sf\longrightarrow \: Perimeter = (4 \times 2.5)cm$

$\bf \: Step\;2 : \rm Multiply :$

$\sf\longrightarrow \: Perimeter = 10 \: cm$

Hence, the perimeter would be 10 cm .

$\rule{225pt}{2pt}$

$\sf \: Now,\; let's\; find \: the \: Area .$

We know that the formula of Area to find the square is,

$\boxed{ \sf \longrightarrow \: Area = (side) {}^{2} }$

Note : The answer would always be in cm².

$\bf Step\; 1 :\rm Put\; the\; value \; of\; side \; of \; the\; square :$

$\sf\longrightarrow{Area} = (2.5) {}^{2} \: cm {}^{2}$

$\sf\longrightarrow{Area} = (2.5 × 2.5 ) \: cm {}^{2}$

$\bf \: Step\;2 : \rm Multiply :$

$\longrightarrow\sf \: Area = 6.25 \: cm {}^{2}$

Hence, the area of the square would be 6.25 cm².

<em>We are done !</em>

$\rule{225pt}{2pt}$

I hope this helps!

Let me know if you have any questions.

:D

3 0

2 years ago

The ratio of adults to children is 7:3 and 370 people attend .How many are children?

nlexa [21]

Its 2:185 because when you do ratios you divide by 2

6 0

2 years ago

A. 25<br> B. 14<br> C. 11<br> D. 17

Darya [45]

The answer to this question is d

4 0

3 years ago