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2 years ago

Explain in full, is this congruent, not congruent, or not enough information?

Mathematics

1 answer:

nadya68 [22]2 years ago

5 0

It’s congruent. The line OL is shared which means it’s congruent for both triangles and since ON is congruent to ED, EN and OD have to be congruent.

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The distance between the two islands shown on the map is 210 miles. A ruler measures the distance on the map is three 1/2 inches

BARSIC [14]

<span>210 miles equals 1 and 1/2 inches (3 1/2"s or 0.5"). 1 and 1/2" is equal to two 3/4" (3/4 + 3/4 = 1 and 1/2). 1.5" is equal to 210 miles, and 1.5" is equal to 2 * .75", you can divide 210 miles by two, which gives you 105 miles.</span>

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3 years ago

Factor the following question x^{2} -9x-36

Klio2033 [76]

Step-by-step explanation:

${x}^{2} - 9x - 36 \\ (x - 12)(x + 3)$

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2 years ago

Question 4 This question has two parts. First, answer Part A. Then, answer Part B. Part A Fill in the blank question. COLLEGE LI

Annette [7]

The equation that models the number of students who live in apartments will be 6n + 15

<h3>How to illustrate the equation?</h3>

Total number of students T = 17n + 23

Students who live in dorm rooms on campus D = 11n + 8.

Therefore, the students who live in apartments will be:

= 17n + 23 - (11n + 8)

= 6n + 15

In order to predict the number of students who will live on campus in 2020, we will need the students that do not share dorm rooms.

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7 0

1 year ago

H(1) = -26<br> h(n) = h(n-1) x (-9)<br><br> Find an explicit formula for h(n).<br><br> h(n)= ___

ValentinkaMS [17]

Answer:

you do not have to state explicitly which limit law(s) you are using. 1 - 5n ... Q: 9) n(x) = 2x - 2 g(x)= x2 + 5 Find h(g(1) A) 5 B) 10 C) 21 D) 40.

Step-by-step explanation:

4 0

3 years ago

The amount of time required for an oil and filter change on an automobile is normally distributed with a mean of 45 minutes and

Firdavs [7]

Answer:

$P(39 < X < 48 ) = 0.8767$

95% of all sample means will fall between $40.1 < \mu < 49.9$

$\= x = 41. 795$

$n = 25$

Step-by-step explanation:

From the question we are told that

The mean is $n = 45$

The population standard deviation is $\sigma = 10$

The sample size is n = 16

Generally the standard error of the mean is mathematically represented as

$\sigma_{x} = \frac{ \sigma}{\sqrt{n} }$

=> $\sigma_{x} = \frac{ 10 }{\sqrt{16 } }$

=> $\sigma_{x} = 2.5$

Generally the probability that the sample mean will be between 39 and 48 minutes is

$P(39 < X < 48 ) = P( \frac{ 39 - 45}{ 2.5} < \frac{X - \mu }{\sigma } < \frac{ 48 - 45}{ 2.5} )$

=> $P(39 < X < 48 ) = P(-2.4 < Z< 1.2 )$

=> $P(39 < X < 48 ) = P( Z< 1.2 ) - P(Z < -2.4)$

From the z table the area under the normal curve to the left corresponding to 1.2 and -2.4 is

=> $P( Z< 1.2 ) = 0.88493$

and

$P( Z< - 2.4 ) = 0.0081975$

$P(39 < X < 48 ) = 0.88493 -0.0081975$

=> $P(39 < X < 48 ) = 0.8767$

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \frac{\sigma }{\sqrt{n} }$

=> $E = 1.96 * 2.5$

=> $E =4.9$

Generally the 95% of all sample means will fall between

$\mu -E < and \mu +E$

=> $45 -4.9\ and \ 45 + 4.9$

Generally the value which 90% of sample means is greater than is mathematically represented

$P( \= X > \= x ) = 0.90$

=> $P( \= X > \= x ) = P( \frac{\= X - \mu }{ \sigma_x} > \frac{\= x -45 }{ 2.5} ) = 0.90$

=> $P( \= X > \= x ) = P( Z > z ) = 0.90$

Generally from the z-table the critical value of 0.90 is

$z = -1.282$

$\frac{\= x -45 }{ 2.5} = -1.282$

=> $\= x = 41. 795$

Considering question 2

Generally we are told that the standard deviation of the mean to be one fifth of the population standard deviation, this is mathematically represented as

$s = \frac{1}{5} \sigma$

Generally the standard deviation of the sample mean is mathematically represented as

$s = \frac{\sigma }{ \sqrt{n} }$

=> $\frac{1}{5} \sigma = \frac{\sigma }{ \sqrt{n} }$

=> $n = 5^2$

=> $n = 25$

5 0

2 years ago