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3 years ago

Find the length of the side labeled “x”. a) 4.88 b) 10.96 c)5.34 d)26.95

Mathematics

2 answers:

Radda [10]3 years ago

8 0

Answer:

Step-by-step explanation:

Sphinxa [80]3 years ago

8 0

Answer:

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan24° = $\frac{opposite}{adjacent}$ = $\frac{x}{12}$ ( multiply both sides by 12 )

12 × tan24° = x , then

x ≈ 5.34 ( to 2 dec. places ) → C

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Expain the diffents between numerical expressions and algebraic expressions

Oduvanchick [21]

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3 years ago

Eli's Electronics has 60-inch television on sale this week for $798. The television is regularly priced for $1050. By what perce

umka2103 [35]

Answer: that would be 76% hope that helps

Step-by-step explanation:

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3 years ago

Work out the area of this circle.<br> Give your answer in terms of it and state its units.<br> 6 mm

andrey2020 [161]

Answer:

113.142 mm

Step-by-step explanation:

Easy.

Formula:

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3 years ago

Read 2 more answers

2.5% of a population are infected with a certain disease. There is a test for the disease, however the test is not completely ac

Aleks04 [339]

Answer:

$P(disease/positivetest) = 0.36116$

Step-by-step explanation:

This is a conditional probability exercise.

Let's name the events :

I : ''A person is infected''

NI : ''A person is not infected''

PT : ''The test is positive''

NT : ''The test is negative''

The conditional probability equation is :

Given two events A and B :

P(A/B) = P(A ∩ B) / P(B)

$P(B) >0$

P(A/B) is the probability of the event A given that the event B happened

P(A ∩ B) is the probability of the event (A ∩ B)

(A ∩ B) is the event where A and B happened at the same time

In the exercise :

$P(I)=0.025$

$P(NI)= 1-P(I)=1-0.025=0.975\\P(NI)=0.975$

$P(PT/I)=0.904\\P(PT/NI)=0.041$

We are looking for P(I/PT) :

P(I/PT)=P(I∩ PT)/ P(PT)

$P(PT/I)=0.904$

P(PT/I)=P(PT∩ I)/P(I)

0.904=P(PT∩ I)/0.025

P(PT∩ I)=0.904 x 0.025

P(PT∩ I) = 0.0226

P(PT/NI)=0.041

P(PT/NI)=P(PT∩ NI)/P(NI)

0.041=P(PT∩ NI)/0.975

P(PT∩ NI) = 0.041 x 0.975

P(PT∩ NI) = 0.039975

P(PT) = P(PT∩ I)+P(PT∩ NI)

P(PT)= 0.0226 + 0.039975

P(PT) = 0.062575

P(I/PT) = P(PT∩I)/P(PT)

$P(I/PT)=\frac{0.0226}{0.062575} \\P(I/PT)=0.36116$

8 0

3 years ago

A submarine traveling 200 meters below the surface of the ocean increases its depth by 45 meters. Adam says that the new locatio

My name is Ann [436]

Answer:

The error that Adam could have made is added 45 to the depth of

submarine instead of adding -45

Step-by-step explanation:

* Lets explain how to solve the problem

- A submarine traveling 200 meters below the surface of the ocean

- Increases its depth by 45 meters

- Adam says that the new location of the submarine is -155 meters

- We need to know the error of Adam

∵ We consider the surface of the ocean is the zero level

∵ The submarine is 200 meters below the surface of the ocean

∵ Below means negative

∴ The depth of submarine is -200 meters

∵ It increases the depth by 45 meters

- <em>That means it travels down another 45 meters</em>

∵ Down means negative

∴ The depth of submarine = -200 + (-45) = -245 meters

∴ The depth of submarine is 245 below the surface of the ocean

- Adam could thought that the submarine traveled up for 45 meters

then he add 45 to -200

∵ -200 + 45 = -155 meters

∴ The error that Adam could have made is added 45 to the

depth of submarine instead of adding -45

3 0

3 years ago