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DaniilM [7]
1 year ago
6

The height of one story of a building is about 10 feet. The bottom of the ladder on the fire truck must be at least 24 feet away

from the building. How many stories can the ladder reach?
Mathematics
2 answers:
DENIUS [597]1 year ago
5 0
The most possible answer is 2 stories 
Anni [7]1 year ago
3 0

Answer: There are atleast 2 stories that the ladder can reach.

Step-by-step explanation:

Since we have given that

Height of one story of a building  = 10 feet

Length between the bottom of the ladder and the building = 24 feet

So, we need to find the number of stories that the ladder can reach.

So, Number of stories is given by

\dfrac{\text{Length b/w ladder and building}}{\text{Height of one story}}\\\\=\dfrac{24}{10}\\\\=2.4

Hence, there are atleast 2 stories that the ladder can reach.

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Of 1,050 randomly selected adults, 360 identified themselves as manual laborers, 280 identified themselves as non-manual wage ea
garik1379 [7]

Answer:

We can claim with 95% confidence that the proportion of executives that prefer trucks is between 19.2% and 32.8%.

Step-by-step explanation:

We have a sample of executives, of size n=160, and the proportion that prefer trucks is 26%.

We have to calculate a 95% confidence interval for the proportion.

The sample proportion is p=0.26.

 

The standard error of the proportion is:

\sigma_p=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.26*0.74}{160}}\\\\\\ \sigma_p=\sqrt{0.0012}=0.0347

The critical z-value for a 95% confidence interval is z=1.96.

The margin of error (MOE) can be calculated as:

MOE=z\cdot \sigma_p=1.96 \cdot 0.0347=0.068

Then, the lower and upper bounds of the confidence interval are:

LL=p-z \cdot \sigma_p = 0.26-0.068=0.192\\\\UL=p+z \cdot \sigma_p = 0.26+0.068=0.328

The 95% confidence interval for the population proportion is (0.192, 0.328).

We can claim with 95% confidence that the proportion of executives that prefer trucks is between 19.2% and 32.8%.

3 0
2 years ago
Check each set that includes the number shown.
zavuch27 [327]

Answer:

Fourth option.

Sixth option.

Step-by-step explanation:

We know that:

- Any number you can find on the number line, is a Real number.

- Integers contains positive numbers, negative numbers and zero. Every Integer is a Rational number.

- A Rational number is that number that can be written in the following form:

\frac{a}{b}

Where "a" and "b" are integers (b\neq 0).

- An Irrational number cannot be written as a simple fraction.

- A Whole number is any of the numbers {{0, 1, 2, 3...}}. Every Whole number is a Rational number.

- Natural numbers contain  the set of positive integers{{1, 2, 3...}} or to the set of nonnegative integers {{0, 1, 2, 3...}}, Every Natural number is a Rational number.

 Based on this, since \frac{5}{9} is in the form \frac{a}{b} where a=5 and b=9, it is a Rational Number and therefore a Real number.

7 0
2 years ago
Sam knows that his annual homeowners insurance premium is $0.27 per $100 of value, which usually works out to be $683.10 annuall
valentina_108 [34]

Answer:

C. $14,000

Step-by-step explanation:

7 0
1 year ago
The density of gold is 19.3 g/cm3. A weight of 1 ounce is equivalent to a mass of about 28.35 g. Which of these is closest to th
cluponka [151]

Answer: The side length of the cube is 2.27cm

Step-by-step explanation:

The options are not given, then let's solve this in a general way.

We know that the density of gold is 19.3g/cm^3.

We also know that 1 oz = 28.35g.

And we know the relation:

Density = mass/volume.

Now, let's find the volume of 8 ounces of gold.

First, let's rewrite the density changing the units, from grams to ounces.

We know that:

1 oz = 28.35g

(1 oz/28.35g) = 1.

Then if we multiply the density by this ( that is equal to 1) we can change the units and leave the actual quantity invariant.

d =  19.3g/cm^3 =  19.3g/cm^3*(1 oz/28.35g) = 0.68 oz/cm^3

Now let's use the equation for the density, knowing this time that the mass is 8 ounces.

0.68 oz/cm^3 = mass/volume = 8oz/V

Let's find the value of V

0.68 oz/cm^3 = 8oz/V

V = 8oz/0.68 oz/cm^3 = 11.76 cm^3

Now, we know that this is a cube.

Remember that the volume of a cube of side length L is:

V = L^3

Then we have:

L^3 = 11.76 cm^3

L = ∛11.76 cm^3 = 2.27 cm

The side length of the cube is 2.27cm

8 0
1 year ago
 If the trapezoid below is reflected across the x-axis, what are the coordinates of B'?
Grace [21]
The x-coordinate remains the same as the x-coordinate of point B.
The y-coordinate becomes the additive inverse of the y-coordinate of point B.

Answer: B. (3, -8)

9 0
1 year ago
Read 2 more answers
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