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egoroff_w [7]
3 years ago
6

5/2x - 1.5 = 3.5 what is the value of x

Mathematics
1 answer:
azamat3 years ago
8 0

Answer:

2

Step-by-step explanation:

<em>Add 1.5 to both sides:</em>

5/2x-1.5+1.5=3.5+1.5

5/2x=5

<em>Multiply both sides by 2/5</em>

(2/5)*(5/2x)=(2/5)*(5)

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Step-by-step explanation:

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What is the measurement of an angle formed in the morning at 9 o’ clock?​
atroni [7]

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90°

Step-by-step explanation:

hope this helps.....

6 0
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Read 2 more answers
A publisher reports that 65% of their readers own a laptop. A marketing executive wants to test the claim that the percentage is
muminat

Answer:

z=\frac{0.60 -0.65}{\sqrt{\frac{0.65(1-0.65)}{340}}}=-1.933  

The p value for this case can be calculated with this probability:

p_v =2*P(z  

For this case is we use a significance level of 5% we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true proportion is different from 0.65 or 65%. We need to be careful since if we use a value higher than 65 for the significance the result would change

Step-by-step explanation:

Information given

n=340 represent the random sample taken

\hat p=0.60 estimated proportion of readers owned a laptop

p_o=0.65 is the value that we want to test

z would represent the statistic

p_v{/tex} represent the p valueHypothesis to testWe want to check if the true proportion of readers owned a laptop if different from 0.65&#10;Null hypothesis:[tex]p=0.65  

Alternative hypothesis:p \neq 0.65  

The statistic is given by:

z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}} (1)  

Replacing we got:

z=\frac{0.60 -0.65}{\sqrt{\frac{0.65(1-0.65)}{340}}}=-1.933  

The p value for this case can be calculated with this probability:

p_v =2*P(z  

For this case is we use a significance level of 5% we have enough evidence to FAIL to reject the null hypothesis and we can't conclude that the true proportion is different from 0.65 or 65%. We need to be careful since if we use a value higher than 65 for the significance the result would change

5 0
4 years ago
A right triangle has side lengths a, b, and c as shown below.
Musya8 [376]

Answer:

\bold{\sin x = \frac{b}{c}}\bold{\\\cos x = \frac{a}{c}}\bold{\\\tan x = \frac{b}{a}}

Step-by-step explanation:

Given that

A right triangle has side lengths a, b, and c

Because you did not attached photo of the right triangle so I will assume that:

  • Side a is the adjacent (A)
  • Side b is the opposite (O)
  • Side c is the hypotenuse (H)

(Please have a look at the attached photo)

To solve for the trigonometric functions of x, we need to recall the ratios they represent as shown below.

\sin x = \frac{O}{H}\\\cos x = \frac{A}{H}\\\tan x = \frac{O}{A}

EX: the sine of x is equal to the side opposite of angle x over the hypotenuse. Hence, we have the expressions of the trigonometric functions as shown below:

\bold{\sin x = \frac{b}{c}}\bold{\\\cos x = \frac{a}{c}}\bold{\\\tan x = \frac{b}{a}}

Hope it will find you well

4 0
3 years ago
Someone please explain how to do this question
aleksley [76]

Answer:

1. 37.0 in²

2. 55 m²

Step-by-step explanation:

1) all angles in an equilateral triangle are 60°

The dotted line is an angle bisector which also divides the triangle into two congruent right angle triangles

Find the base using trig ratio

cos(30) = 8/base

base = 16sqrt(3)/3

Area = ½ × 16sqrt(3)/3 × 8

= 36.95041723 in²

2. d1: 5 + 5 = 10

d2: 3 + 8 = 11

Area = ½ × 10 × 11

= 55 m²

8 0
3 years ago
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