All categories

3 years ago

A model ship is 28 in. by 65 in. Use the scale 1 in. : 1/2 ft to find the dimensions of the actual ship

1 answer:

6 0

The scale given (1 in : 1/2 ft) implies that 1 inch on the model is equal to 1/2 foot on the actual ship. Therefore, we can multiply the two inch values by 1/2 foot to find the true dimensions of the ship in feet. Starting with 28 inches:

28 × (1/2 ft) = 14 ft

28 inches is proportional to 14 feet. Now calculate 65 inches:

65 × (1/2 ft) = 32.5 ft

65 inches is proportional to 32.5 feet. Therefore, the answer to this problem is:

D) 14 ft. by 32 1/2 ft.

I hope this helps!

You might be interested in

If the equation x^2 + 16x + c = 0 has only one real solution, the value of c must equal

kumpel [21]

If the equation x² + 16x + c = 0 has only one real solution, the value of c is equal to 64.

<h3>Discriminant: </h3>

The quadratic formula includes the discriminant, which comes after the square root. The discriminant of a quadratic equation is important because it indicates the quantity and kind of solutions.

The formula for the Discriminant of a Quadratic Equation ax²+bx +c = 0 is given by

<h3> Discriminant Δ = b² - 4ac </h3>

Here we have

x² + 16x + c = 0 equation has only one real solution

Compare given equation with ax²+ bx + c = 0

=> a = 1, and b = 16

As we know when an equation has only one real solution

then its Discriminant will be equal to zero

=> b² - 4ac = 0

By the above values,

=> 16² - 4(1)c = 0

=> 256 - 4c = 0

=> 4c = 256

=> c = 256/4

=> c = 64

Therefore,

If the equation x² + 16x + c = 0 has only one real solution, the value of c is equal to 64.

Learn more about Discriminant at

brainly.com/question/15884086

#SPJ1

3 0

1 year ago

Which answer is equivalent to √ 25/√ 49

Nata [24]

5 and 7 that’s the answer

4 0

3 years ago

Jasmine baby-sits for $8.25 per hour. If she baby-sits for 12 hours in one weekend, how much money will she earn? Write your ans

forsale [732]

Answer:

Step-by-step explanation:

8.25*12= $99.00

7 0

2 years ago

If f(x) = 4x2 - 5x + 7 and g(x) = 3x2 - 2x + 8, find f(x) + g(x). A) 7x2 - 7x + 15 B) 7x4 - 7x2 + 15 C) 7x2 + 15 D) 12x4 - 8x3 +

lutik1710 [3]

Answer:

A) 7x^2-7x+15

Step-by-step explanation:

f(x) = 4x2 - 5x + 7,

g(x) = 3x2 - 2x + 8

f(x) +g(x) =

4x^2 - 5x + 7 + 3x^2 - 2x + 8=

7x^2-7x+15

8 0

3 years ago

An insurance company states that it settles 85% of all life insurance claims within 30 days. A consumer group asks the state ins

BlackZzzverrR [31]

Using the z-distribution, it is found that since the p-value of the test is less than 0.05, we reject the null hypothesis and find that there is enough evidence to conclude that the true proportion of all life insurance claims made to this company that are settled within 30 days is less than 85%.

<h3>What are the hypothesis tested?</h3>

At the null hypothesis, it is tested if there is not enough evidence that the proportion is below 85%, that is:

$H_0: p \geq 0.85$

At the alternative hypothesis, it is tested if there is enough evidence that the proportion is below 85%, that is:

$H_0: p < 0.85$

<h3>What is the test statistic?</h3>

The test statistic is given by:

$z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}$

In which:

$\overline{p}$ is the sample proportion.

p is the proportion tested at the null hypothesis.

n is the sample size.

For this problem, the parameters are:

$p = 0.85, n = 250, \overline{p} = \frac{203}{250} = 0.812$

Hence the test statistic is:

$z = \frac{\overline{p} - p}{\sqrt{\frac{p(1-p)}{n}}}$

$z = \frac{0.812 - 0.85}{\sqrt{\frac{0.85(0.15)}{250}}}$

z = -1.68

<h3>What is the p-value and the conclusion</h3>

Using a z-distribution calculator, with a left-tailed test, as we are testing if the proportion is less than a value, and z = -1.68, the p-value is of 0.0465.

Since the p-value of the test is less than 0.05, we reject the null hypothesis and find that there is enough evidence to conclude that the true proportion of all life insurance claims made to this company that are settled within 30 days is less than 85%.

More can be learned about the z-distribution at brainly.com/question/16313918

#SPJ1

4 0

1 year ago