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2 years ago

A rectangular balcony is 14 feet long and 6 feet wide. What is its area?

Mathematics

2 answers:

Burka [1]2 years ago

8 0

Answer:

84 feet long

Step-by-step explanation:

kobusy [5.1K]2 years ago

5 0

Answer: 224
Explanation: area=length x width
14 x 6 = 224

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Sin(73) = cos (x) pls help lol

viva [34]

X = 17+360n, 343+360n

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3 years ago

The vertical number line on the Coordinate Plane<br> is called the

Assoli18 [71]

Answer: y axis

Just think the yo yo goes up and down

Step-by-step explanation:

7 0

3 years ago

A survey of 80 randomly selected companies asked them to report the annual income of their presidents. Assuming that incomes are

Artyom0805 [142]

Answer:

The 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).

Step-by-step explanation:

The information provided is:

$n=80\\\sigma=30,000\\\bar x=585062.50\\\text{Confidence level} = 90\%$

The critical value of <em>z</em> for 90% confidence level is, 1.645.

Compute the 90% confidence interval estimate of the mean annual income of all company presidents as follows:

$CI=\bar x\pm z_{\alpha/2}\cdot\frac{\sigma}{\sqrt{n}}\\\\=585062.50\pm 1.645\times\frac{30000}{\sqrt{80}}\\\\=585062.50\pm5517.50\\\\=(579545, 590580)$

Thus, the 90% confidence interval estimate of the mean annual income of all company presidents is ($579,545, $590,580).

This interval implies that there is 90% probability that the true mean annual income of all company presidents is within this interval.

4 0

2 years ago

2.5 kg of potatoes cost £1.40<br> Work out the cost of 4.25 kg of potatoes.<br> 5.95

kvasek [131]

Answer:

£2.38

Step-by-step explanation:

Write and solve an equation of ratios:

£1.40 2.5 kg

----------- = ------------

c 4.25 kg

Cross multiplying, we get:

(£1.40)(4.25 kg) = (2.5 kg*c), or

(£1.40)(4.25 kg)

c = -------------------------- = £2.38

2.5 kg

4 0

3 years ago

Mary must choose a new password where the first and last choices are possibly repeated lowercase letters; the second and third

Salsk061 [2.6K]

The number of ways she can choose a password is 3986236800

<h3>In how many ways can she choose a password?</h3>

The given parameters and the possible selection of characters are:

First and last choices are possibly repeated lowercase letters;

There are 26 lower characters.

Since the characters can be repeated, then we have

First = 26

Last = 26

The second and third positions must be distinct uppercase letters

There are 26 upper characters.

Since the characters are distinct, then we have

Second = 26

Third = 25

The fourth position must be a # , $, or & symbol;

So, we have

Fourth = 3

The next four positions are distinct nonzero digits.

There are 9 nonzero digits.

Since the digits are distinct, then we have

Next = 9, 8, 7, 6

The number of ways she can choose a password is

Ways = First * Second * Third * Fourth * Next * Last

So, we have

Ways = 26 * 26 * 25 * 3 * 9 * 8 * 7 * 6 * 26

Evaluate the product

Ways = 3986236800

Hence, the number of ways she can choose a password is 3986236800