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4 years ago

Find the value of x that will make a||b help ?

Mathematics

1 answer:

nydimaria [60]4 years ago

4 0

Answer:

x=30

Step-by-step explanation:

Find the value of x that will make A and B parallel

For A & B to be parallel, the interior angles must be supplementary, i.e.

4x+2x = 180

6x=180

x=30

When x=30, the interior angles are 120 and 60 which are supplementary.

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Scores on a standardized test are normally distributed with a mean of 480 and a standard deviation of 90. What proportion of the

Aloiza [94]

Answer:

Step-by-step explanation:

Since the scores on the standardized test are approximately normally distributed, we would apply the formula for normal distribution which is expressed as

z = (x - µ)/σ

Where

x = test scores.

µ = mean score

σ = standard deviation

From the information given,

µ = 480

σ = 90

1) The proportion of scores above 700 is expressed as

P(x > 700) = 1 - P(x ≤ 700)

For x = 700,

z = (700 - 480)/90 = 2.44

Looking at the normal distribution table, the probability corresponding to the z score is 0.99

P(x > 700) = 1 - 0.99 = 0.01

the proportion of scores above 700 is 0.01

2) For the 25 percentile, z = - 0.67. Therefore,

- 0.67 = (x - 480)/90

90 × - 0.67 = x - 480

- 60.3 = x - 480

x = - 60.3 + 480

x = 419.7

3) if Someone’s score is 600, then

z = (600 - 480)/90 = 1.33

From the table, the percentileis

0.91 × 100 = 91%

4) For x = 420,

z = (420 - 480)/90 = - 0.67

The proportion is 0.25

For x = 520,

z = (520 - 480)/90 = 0.44

The proportion is 0.67

The proportion of the score between 420 and 520 is

0.67 - 0.25 = 0.42

7 0

3 years ago

A 19 foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on level ground if 18 f

yaroslaw [1]

Answer:

The answer would be 342

Step-by-step explanation:

Multiply 19 by 18 and you get 342

3 0

3 years ago

Read 2 more answers

Simplify -6i(8-6i)(-8-8i)

padilas [110]

Answer:

-96 + 672\,i

Step-by-step explanation:

This is a product of complex numbers, so we have in mind not only the general rules for multiplying binomials, but also the properties associated with the powers of the imaginary unit "i", in particular $i^2=-1$

We start by making the first product indicated which is that of a pure imaginary number (-6i) times the complex number (8-6i). We use distributive property and obtain the new complex number that results from this product:

$-6\,i\,(8-6\,i)= (-6\,i)\,* 8 \, -\,6\,i\,(-6\,i)=-48\,i+36\,i^2=-48\,i+36\,(-1)=-36-48\,i$

Now we make the second multiplication indicated (using distributive property as one does with the product of binomials), and combine like terms at the end:

$(-36-48\,i)\,(-8-8\.i)=(-36)\.(-8)+(-36)(-8\,i)+(-48\,i)\,(-8)+(-48\,i)(-8\,i)=\\=288+288\,i+384\,i+384\,i^2=288+288\,i+384\,i+384\,(-1)=\\=288-384+288\,i+384\,i=-96+672\,i$