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topjm [15]
2 years ago
12

Anyone plz plz help only 4 questions and I will mark as brainliest plz more points​

Mathematics
1 answer:
LiRa [457]2 years ago
5 0

Answer:

i)

  • x = 50°, alternate interior angles
  • z = 60°, corresponding angles
  • y = 180° - (50° + 60°) = 70°, straight angle is 180°

ii)

  • b = 180° - 152° = 28°, consecutive interior angles
  • a + b = 58° ⇒ a = 58° - 28° = 30°, alternate interior angles

iii)

<u>Imagine parallel line through vertex of angle x.</u>

  • x = 36° + 28° = 64°

iv)

<u>Same as above:</u>

  • x = 360 - (45° + 35°) = 280°
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Changing the mean and standard deviation of a Normal distribution by a moderate amount can greatly change the percent of observa
sweet-ann [11.9K]

Answer:

a) P(X>750)=P(\frac{X-\mu}{\sigma}>\frac{750-\mu}{\sigma})=P(Z1.798)

P(Z>1.798)=1-P(z

f. 3.59 %

b) P(X>750)=P(\frac{X-\mu}{\sigma}>\frac{750-\mu}{\sigma})=P(Z2.21)

P(Z>2.21)=1-P(Z

d. 1.36 %

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Part a

Let X the random variable that represent the scores of men of a population, and for this case we know the distribution for X is given by:

X \sim N(527,124)  

Where \mu=65.5 and \sigma=2.6

We are interested on this probability

P(X>750)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>750)=P(\frac{X-\mu}{\sigma}>\frac{750-\mu}{\sigma})=P(Z1.798)

And we can find this probability using the complement rule and with the normal standard distribution table or excel:

P(Z>1.798)=1-P(Z

So then the correct answer for this case would be:

f. 3.59 %

Part b

Let X the random variable that represent the scores of women's of a population, and for this case we know the distribution for X is given by:

X \sim N(496,115)  

Where \mu=496 and \sigma=115

We are interested on this probability

P(X>750)

And the best way to solve this problem is using the normal standard distribution and the z score given by:

z=\frac{x-\mu}{\sigma}

If we apply this formula to our probability we got this:

P(X>750)=P(\frac{X-\mu}{\sigma}>\frac{750-\mu}{\sigma})=P(Z2.21)

And we can find this probability using the complement rule and with the normal standard distribution table or excel:

P(Z>2.21)=1-P(Z

So then the correct answer for this case would be:

d. 1.36 %

7 0
3 years ago
PLEASE EEEEE !!!!!!!!!!!! I NEED IT
tino4ka555 [31]

Answer:

1) ∠A=84°

2) ∠C=20°

Step-by-step explanation:

1)

First, find ∠C:

<em>(I'm assuming the exterior angle of 126° makes a straight line with ∠C)</em>

The angles on a straight line always add up to 180. Therefore:

∠C+126=180

∠C=180-126

∠C=54

Then find ∠B:

We also know that all the angles in a triangle add up to 180. Therefore:

∠A+∠B+∠C=180

∠A+∠B+54=180

∠A+∠B=126

<em>(we know ∠A=2(∠B))</em>

2(∠B)+∠B=126

3(∠B)=126

∠B=42

Now, find ∠A:

∠A=2(∠B)

∠A=2(42)

∠A=84°

2)

First, find ∠B:

<em>(Again, I'm assuming the exterior angle of 100° makes a straight line with ∠B)</em>

The angles on a straight line always add up to 180. Therefore:

∠B+100=180

∠B=180-100

∠B=80

Then find ∠A:

We also know that all the angles in a triangle add up to 180. Therefore:

∠A+∠B+∠C=180

∠A+80+∠C=180

∠A+∠C=100

<em>(we know ∠A=4(∠C))</em>

4(∠C)+∠C=100

5(∠C)=100

∠C=20°

6 0
3 years ago
Please help<br><br>numbers 42, 43, 44
Aleks [24]
<h3>Answer:</h3>

42.  29°

43.  3x³ +2x² -3x +10

44.  20a² +68a

<h3>Step-by-step explanation:</h3>

42.  The right-angle corner tells you the two marked angles are complementary — they sum to 90°.

  (-3x +20)° + (-2x +55)° = 90°

  -5x +75 = 90 . . . . . . . . . . collect terms, divide by °

  -5x = 15 . . . . . . . . . . . . . . . subtract 75

  x = -3 . . . . . divide by the coefficient of x

The angle of interest is (-3x+20)°. Filling in the found value for x, we have ...

  (-3·(-3) +20)° = 29° = m∠BDC

___

43.  The distributive property is useful for multiplying polynomials.

  (x +2)(3x² -4x +5) = x(3x² -4x +5) +2(3x² -4x +5)

  = 3x³ -4x² +5x +6x² -8x +10 . . . . . eliminate parentheses

  = 3x³ +2x² -3x +10

___

44.  Area is the product of length and width, so this becomes a problem in multiplying polynomials.

  area = (5a +17)(4a) = 20a² +68a . . . . area in square feet

3 0
3 years ago
I need help! ASAP<br><br> ( 6th grade tape charts! )
ruslelena [56]
There is nothing attached
7 0
3 years ago
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Four points, E, F, G, and H lie on the coordinate plane. Of the choices given, which two points have the longest
svp [43]

Answer:

D H and E i think .........

3 0
3 years ago
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