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3 years ago

Determine the relationship between the two triangles and whether or not they ca

Mathematics

1 answer:

AnnZ [28]3 years ago

4 0

Answer:

They are congruent.

Step-by-step explanation:

The have the same side length, as shown by the marking on the side next to the double marked angle and across from single marked angle. They have the same angle measures located in the same places as well. They are congruent as proven by shape, angle measures, and side length.

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The table shows the results of a survey in which 10th-grade students were asked how many siblings (brothers and/or sisters) they

lesantik [10]

Answer:

70%

Step-by-step explanation:

Given

Number of Siblings: || 0 || 1 || 2 || 3

Number of Students: || 4 || 18 || 10 || 8

Required

Determine the probability of a student having at least one but not more than 2 siblings

First, we have to determine the total number of 10th grade students

$Total = 4 + 18 + 10 + 8$

$Total = 40$

The probability of a student having at least one but not more than 2 siblings = P(1) + P(2)

Solving for P(1)

P(1) = number of students with 1 sibling / total number of students

From the given parameters, we have that:

Number of students with 1 sibling = 18

So:

$P(1) = \frac{18}{40}$

Solving for P(2)

P(2) = number of students with 2 siblings / total number of students

From the given parameters, we have that:

Number of students with 2 siblings = 10

So:

$P(2) = \frac{10}{40}$

$P(1) + P(2) = \frac{18}{40} + \frac{10}{40}$

Take LCM

$P(1) + P(2) = \frac{18 + 10}{40}$

$P(1) + P(2) = \frac{28}{40}$

Divide numerator and denominator by 4

$P(1) + P(2) = \frac{7}{10}$

$P(1) + P(2) = 0.7$

Convert to percentage

$P(1) + P(2) = 70\%$

Hence, the required probability is 70%

6 0

3 years ago

Help help help !!!!! iam stuck in this question

Zina [86]

It is A because x is less than one and it is open since there is no like underneath the sign.

5 0

3 years ago

Read 2 more answers

4x + 7y = 12 -8x - 14y = -24

Masteriza [31]

Answer:

x = 3

y = 0

Step-by-step explanation:

4(3) + 7(0) = 12

-8(3) - 14(0) = -24

8 0

3 years ago

When an opinion poll selects cell phone numbers at random to dial, the cell phone exchange is first selected and then random dig

Aliun [14]

Answer:

c. 8.25

Step-by-step explanation:

The given scenario corresponds to binomial experiment because

1. There are two possible outcomes i.e. each number can be working or not working.

2. On each dialing the probability of getting working cell number is p=0.55.

3. Cell phone numbers are randomly dialed so these are independent.

4. A pollster dialed 15 cell numbers i.e. n=15.

The mean number of calls that reach a working cell number can be calculated by computing mean of binomial distribution using the given information.

Mean of binomial distribution=E(x)=np

The mean number of calls that reach a working cell number=15*0.55=8.25

Thus, the mean number of calls that reach a working cell number=8.25

3 0

3 years ago

Solve using logarithms to remove the variable from the exponent: 6^(x-7)=9

ladessa [460]

Answer:

x=8.226294

Step-by-step explanation:

4 0

3 years ago