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3 years ago

Which statement is true?

Mathematics

2 answers:

quester [9]3 years ago

5 0

<h2>Answer:</h2>

The correct statement among the given statement is:

a. A ten degree angle is congruent to a 10 degree angle.

<h2>Step-by-step explanation:</h2>

<u>Congruent angles--</u>

Two angles are said to be congruent if both have the same angle measure.

They may be of any measure.

They may have any orientation on the plane.

Also, the construction of such a angle is simple with the help of a compass and a straight edge.

Now, if we consider two angles such that the measure of each angle is 60 degree.

Then they add up to 60+60=120 degrees.

and hence options: b and d are incorrect.

BlackZzzverrR [31]3 years ago

3 0

For this problem, the answer is choice A.

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45% of all 1st graders at Sierra Elementary School are female students. This year there are 54 female 1st graders at Sierra Elem

Anit [1.1K]

Answer:

There are 120 1st graders at Sierra Elementary School this year

Step-by-step explanation:

Let n represent the total number of 1st graders at Sierra Elementary School

Since 45% of all 1st graders at Sierra Elementary School are female students and this year there are 54 female 1st graders, 45% of n is equal to 54

→ n( $\frac{45}{100}$ ) = 54

→ 45n = 5400

→ n = 120

3 0

3 years ago

Read 2 more answers

. Simplify the following:<br> a) 52 x 53 x 54

lesantik [10]

Hey,I don’t think this is the whole question

5 0

3 years ago

PLESE HELP! 50 POINTS! GIVING BRAINLIEST.

shusha [124]

bro which class question is this then I can help you with ur question

7 0

3 years ago

The question is in the photo

vovikov84 [41]

$\displaystyle\bf 3x+7\geq 52 \ ; \ x>15 \\\\3x\geq 45\\\\x\geq 15 \ \ \ and \ \ \ x>15$ here is a contradiction because in one inequality x can be equal to 15 ; and in the other it cannot

6 0

3 years ago

A research team conducted a study showing that approximately 25% of all businessmen who wear ties wear them so tightly that they

Sonbull [250]

Answer:A) 0.9866

Step-by-step explanation:

Probability of at least one tie is too tight is

Probability of tight tie 25/100

Probability of not a tight tie is 1-25/100=3/4

=1-(3/4)^15=0.9866

B)0.764

C)0.013

D)0.236

Method 2

This is binomial probability.

n=15 (number of businessmen

p=.25 (probability that a businessman wears the tie so tightly

x = number of businessmen out of 15 who wears the tie so tightly

P( at least 1) = P( x >= 1) = 1-P(x=0)

P(x=0) = 15C0 (.25)^0 (.75)^(15-0) = (0.75)^15 = 0.013363

P( at least 1) = 1- 0.013363 = 0.9866

P(more than 2) = P( x > 2) = 1-P( x=0)-P(x=1)-P(x=2)

P(x=0) = 15C0 (.25)^0 (.75)^(15-0) = (0.75)^15 = 0.013363

P(x=1) = 15C1 (.25)^1 (.75)^14 = 0.066817

P(x=2) = 15C2 (.25)^2 (.75)^13 = 0.155907

1-P( x=0)-P(x=1)-P(x=2) = 1 - 0.013363 - 0.066817 - 0.155907 = 0.763912

P(x=0) = 15C0 (.25)^0 (.75)^(15-0) = (0.75)^15 = 0.013363

P( at least 13) = P(x=13)+P(x=14)+P(x=15)

P(x=13)= 15C13 (.25)^13 (.75)^2 = 0.000001

P(x=14)= 15C14 (.25)^14 (.75)^1 = 0.000000

P(x=15)= 15C15 (.25)^15 (.75)^0 = 0.000000

P(x=13)+P(x=14)+P(x=15) = .000001+.000000+.000000 = 0.000001

4 0

4 years ago

Read 2 more answers