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2 years ago

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Mathematics

2 answers:

Ludmilka [50]2 years ago

5 0

Answer:

given,

angles of triangle= 42°, 20° , x(let)

we know,

The sum of interior angles of triangle is 180°

so,

42°+20°+x=180°

62°+x=180°

X=180°-62°

X= 118°

Hence,the other angle is 118°

Harman [31]2 years ago

4 0

Answer: 118 degrees

Step-by-step explanation:

Angles in a triangle add up to 180 degrees.

So...

180 - (42+20) = 118 degrees

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What is v^4-1 simplified

lina2011 [118]

The answer is:
(v-1)(v+1)(v^2+1)

3 0

3 years ago

Read 2 more answers

The SAT Reasoning Test (formerly called the Scholastic Aptitude Test) is perhaps the most widely used standardized test for coll

mihalych1998 [28]

Given Information:

Mean SAT score = μ = 1500

Standard deviation of SAT score = σ = 3 00

Required Information:

Minimum score in the top 10% of this test that qualifies for the scholarship = ?

Answer:

$\bar{x} = 1884\\$

Step-by-step explanation:

What is Normal Distribution?

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.

We want to find out the minimum score that qualifies for the scholarship by scoring in the top 10% of this test.

$P(X > \bar{x} )= P(Z > \bar{x}) = 0.10\\P(X < \bar{x} )= P(Z < \bar{x}) = 1 - 0.10\\P(X < \bar{x} )= P(Z < \bar{x}) = 0.90\\$

The z-score corresponding to the probability of 0.90 is 1.28 (from the z-table)

$\bar{x} = \mu + z(\sigma) \\\bar{x} = 1500 + 1.28(300)\\\bar{x} = 1500 + 384\\\bar{x} = 1884\\$

Therefore, you need to score 1884 in order to qualify for the scholarship.

How to use z-table?

Step 1:

In the z-table, find the probability value of 0.90 and note down the value of the that row which is 1.2

Step 2:

Then look up at the top of z-table and note down the value of the that column which is 0.08

Step 3:

Finally, note down the intersection of step 1 and step 2 which is 1.28

4 0

3 years ago

What is 87 x 54 - 200 divided by 7

Svet_ta [14]

Answer:

87 x 54 - 200 divided by 7
solving-4669[3|7] , 4669.428571
answer-32686.7

Step-by-step explanation:

4 0

2 years ago

A survey of middle school students asked if they play video games. The responses are

kow [346]

Answer:

A. 35.69%

B. 62.77%

Step-by-step explanation:

In this case, what we must do is calculate the probability supported with the data in the table.

Part A.

What is the probability that a randomly selected student is a 7th grader?

Here the total is all the students that would be the sum of all the grades, which are 325 students.

the number of 7th graders is 116, so the probability is:

116/325 = 0.3569

that is, 35.69%

Part B: What percentage of the students interviewed play Video games?

The total number of students is the same 325 and of those 204 play video games, therefore:

204/325 = 0.6277

that is, 62.77%

6 0

3 years ago

Ernie Rolph borrowed $3200 at 10% annual simple interest. If exactly 1 year later he was able to repay the loan without penal

Setler [38]

Answer:

$320

Step-by-step explanation:

From simple interest formular

A=P(1+int) where A is amount payable, P is principal amount borrowed and int is interest gained

int=Rt where R is rate of interest in decimal form, t is duration

The rate of 10% converted to decimal is 10/100=0.1

Substituting P for $3200, R for 0.1 and t for 1 year

A=$3200(1+(0.1*1))=$3200*(1+0.1)=3200*1.1=$3520

To find the interest, it's A-P hence $3520-$3200=$320

Therefore, interest owed is $320

6 0

3 years ago

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