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3 years ago

Please help me I need to finish

Mathematics

1 answer:

Talja [164]3 years ago

5 0

The given triangle is a Right angled triangle,

By applying trigonometry :

$\boxed{\tan( \theta) = \frac{opposite \: \: side}{adjacent \: \: side} }$

$\tan(45 \degree) = \dfrac{7}{a}$

$1 = \dfrac{7}{a}$

$a = 7$

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1/2×4/5 can be written

Leno4ka [110]

I think it will be because if you multiply 1/2 times 4/5 it will be 0.4

6 0

3 years ago

Calculate the difference between the 1990-1997 average blue crab population and the 1998-2009 average blue crab population predi

Karolina [17]

The difference of the blue crab population From 1990-1997, the average was (800+750)/2 = 775; and from 1989-2009: (350+350)/2 = 350. I predict that from 2010 to 2020 the population will increase to about 500 because it seems to go on trends of increasing and decreasing.

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4 years ago

The length between the bases on a Major League Baseball diamond is 90 feet. Allyson wants to make a scale drawing of a baseball

Vinil7 [7]

Answer:

$\text{The scale is }\frac{1}{432}$

Step-by-step explanation:

Length between the bases on a major league diamond = 90 feet

1 feet = 12 inches

90 feet = 90 × 12

= 1080 inches

Length between the bases on a major league baseball diamond on scale drawing = 2.5 inches

$\text{Scale factor = }\frac{\text{Actual length}}{\text{Scale length}}\\\\\text{Scale factor = }\frac{1080}{2.5}=432$

$\text{Hence, the scale is }\frac{1}{432}$

4 0

3 years ago

6=p*36. <br><br> **HINT** 17% IS NOT THE ANSWER AS TESTED!

grin007 [14]

Divide both sides by 36
6/36 = p
1/6 = p

3 0

3 years ago

A test consists of 10 true or false questions. To pass the test a student must answer at least eight questions correctly. If the

forsale [732]

<h3>The probability of student passing the quiz with at least 50% of the questions correct is 0.05457.</h3>

Step-by-step explanation:

Here, the total number of T/F question = 10

The minimum answers needed correctly answered = 8

So, student needs to answer at least 8 questions correctly.

Here, the possibility of answering a question correctly = $(\frac{1}{2})$ = p = 0.5

Also, the possibility of answering a question wrong = $(\frac{1}{2})$ = q = 0.5

Now, to pass he needs to answer 8 or more ( 8 , 9 or 10) answers correctly.

P(answering 8 correct answer) = $^{10}C_8(p)^8(q)^2 = ^{10}C_8(0.5)^8(0.5)^2 = 0.0439$

P(answering 9 correct answer) = $^{10}C_9(p)^9(q)^1 = ^{10}C_9(0.5)^9(0.5)^1 = 0.0097$

P(answering 10 correct answer) = $^{10}C_{10}(p)^{10}(q)^0 = ^{10}C_{10}(0.5)^{10}(0.5)^0 = 0.00097$

So, the total Probability = P(8) + P(9) + P(10)

= (0.0439) + (0.0097) + (0.00097)

= 0.05457

Hence, the probability that the student passes the quiz with at least 8 of the questions correct is 0.05457.

6 0

4 years ago