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LiRa [457]
3 years ago
11

Which fraction is less then 1/3 or 1/5

Mathematics
2 answers:
kolezko [41]3 years ago
3 0

Answer:

1/12

Step-by-step explanation:

it is correct i know  it is

lina2011 [118]3 years ago
3 0

Answer: 1/5 is

Step-by-step explanation:

1/5 = 0.2

1/3 = 0.333

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Which of the following statements is not true of deductive reasoning? It is used when you solve an equation in algebra. It is us
erastova [34]

<u>Answer:</u>

"It is used when you solve an equation in algebra" is the untrue statement.

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

"It is used when you solve an equation in algebra."

When you solve an algebra problem, you are not using deductive reasoning. You are using the information in front of you to correctly answer.

"It is used to make broad generalizations using specific observations."

This is exactly what deductive reasoning is, you are making generalizations and coming up with your own conclusions through observation.

"It is used to prove basic theorems."

This is also true, you can use deductive reasoning by using your specific observations and drawing conclusions to prove the theorems.

"It is used to prove that statements are true."

Using your own observations, you can draw your own conclusions to prove what you are saying is factual.

6 0
2 years ago
Please explain this answer ☹️
GuDViN [60]

Answer:

see explanation

Step-by-step explanation:

Note that cos315° = cos45° and sin315° = - sin45° and

cos45° = sin45° = \frac{1}{\sqrt{2} } = \frac{\sqrt{2} }{2}

Hence

12(cos315° + isin315°)

= 12(cos45° - isin45°)

= 12(\frac{\sqrt{2} }{2} - i \frac{\sqrt{2} }{2})

= 6\sqrt{2} - 6i \sqrt{2}

7 0
3 years ago
If f(x)=square root x-3, which inequality can be used to find the domain of f(x)? A square root x-3 =&gt;0 B x-3=&gt;0 C square
ser-zykov [4K]
Hello : 
f(x) = √(x-3)
answer: B     x-3 <span>≥ 0</span>
7 0
3 years ago
For each of the following, state the equation of a perpendicular line that passes through (0, 0). Then using the slope of the ne
SVEN [57.7K]

Answer:

The answer is below

Step-by-step explanation:

a) y=3x-1

The standard equation of a line is given by:

y = mx + c

Where m is the slope of the line and c is the intercept on the y axis.

Given that y=3x-1, comparing with the standard equation of a line, the slope (m) = 3, Two lines with slope a and b are perpendicular if the product of their slope is -1 i.e. ab = -1. Let the line perpendicular to y=3x-1 be d, to get the slope of the perpendicular line, we use:

3 × d = -1

d = -1/3

To find the equation of the perpendicular line passing through (0,0), we use:

y-y_1=d(x-x_1)\\d\ is\ the \ slope:\\y-0=-\frac{1}{3} (x-0)\\y=-\frac{1}{3}x

To find  x if the point P(x, 4) lies on the new line, insert y = 4 and find x:

y=-\frac{1}{3}x\\ 4=-\frac{1}{3}x\\-x=12\\x=-12

b) y=1/4 x+2

Given that y=1/4 x+2, comparing with the standard equation of a line, the slope (m) = 1/4. Let the line perpendicular to y=1/4 x+2 be f, to get the slope of the perpendicular line, we use:

1/4 × f = -1

f = -4

To find the equation of the perpendicular line passing through (0,0), we use:

y-y_1=f(x-x_1)\\f\ is\ the \ slope:\\y-0=-4 (x-0)\\y=-4x

To find  x if the point P(x, 4) lies on the new line, insert y = 4 and find x:

y=-4}x\\ 4=-4x\\x=-1

8 0
2 years ago
A safety officer wants to prove that μ = the average speed of cars driven by a school is less than 25 mph. Suppose that a random
Akimi4 [234]

Answer:

t=\frac{24-25}{\frac{2.2}{\sqrt{14}}}=-1.70    

The degrees of freedom are given by:

df=n-1=14-1=13  

The p value for this case would be given by:

p_v =P(t_{(13)}  

Step-by-step explanation:

Information given

\bar X=24 represent the mean height for the sample  

s=2.2 represent the sample standard deviation

n=14 sample size  

\mu_o =25 represent the value that we want to test

t would represent the statistic

p_v represent the p value for the test

Hypothesis to verify

We want to cehck if the true mean is lees than 25 mph, the system of hypothesis would be:  

Null hypothesis:\mu \geq 25  

Alternative hypothesis:\mu < 25  

The statistic would be given by:

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}  (1)  

Replacing the info given we got:

t=\frac{24-25}{\frac{2.2}{\sqrt{14}}}=-1.70    

The degrees of freedom are given by:

df=n-1=14-1=13  

The p value for this case would be given by:

p_v =P(t_{(13)}  

8 0
2 years ago
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