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3 years ago

How do the rules for adding and subtracting signed decimals compare with the rules for adding and subtracting integers?

1 answer:

3 0

If sign is the same add and keep the sign

If the sign is different subtract and keep the sign of larger absolute value

Subtraction rules: add opposite and then use addition rules

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BRAINLIEST!!!

Sonbull [250]

Answer:

$\sqrt{37}$

Step-by-step explanation:

The distance d between a point (m , n ) and a line in the form

Ax + By + C = 0 , is calculated as

d = $\frac{|Am+Bn+C|}{\sqrt{A^2+B^2} }$

Here (m, n ) = (6, 2 ) and

6x - y = - 3 ( add 3 to both sides )

6x - y + 3 = 0 → A = 6, B = - 1, C = 3

d = $\frac{|6(6)+-1(2)+3|}{\sqrt{6^2+(-1)^2} }$

= $\frac{|36-2+3|}{\sqrt{36+1} }$

= $\frac{|37|}{\sqrt{37} }$

= $\frac{37}{\sqrt{37} }$ × $\frac{\sqrt{37} }{\sqrt{37} }$

= $\frac{37\sqrt{37} }{37}$ ← cancel 37 on numerator/ denominator

= $\sqrt{37}$

7 0

3 years ago

What is 0.4698 repeating decimal as fraction

Papessa [141]

The answer is 522 over 1111

4 0

3 years ago

RSM Question, please help!

arlik [135]

Answer:

7/15 is greater than 5/11

Step-by-step explanation:

7/15= .4667

5/11= .454545

Hope that's helpful

8 0

2 years ago

Read 2 more answers

An appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W. From pre

Shtirlitz [24]

Answer:

Null Hypothesis, $H_0$ : $\mu \leq$ 250 W

Alternate Hypothesis, $H_A$ : $\mu$ > 250 W

Step-by-step explanation:

We are given that an appliance manufacturer claims to have developed a compact microwave oven that consumes a mean of no more than 250 W.

They take a sample of 20 microwave ovens and find that they consume a mean of 257.3 W.

Let $\mu$ = mean power consumption of microwave ovens.

So, Null Hypothesis, $H_0$ : $\mu \leq$ 250 W

Alternate Hypothesis, $H_A$ : $\mu$ > 250 W

Here, null hypothesis states that the mean power consumption of microwave ovens is no more than 250 W.

On the other hand, alternate hypothesis sates that the mean power consumption of microwave ovens is more than 250 W.

The test statistics that would be used here is One-sample z test statistics as we know about the population standard deviation;

T.S. = $\frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }$ ~ N(0,1)

Hence, this would be the appropriate hypotheses to determine if the manufacturer's claim appears reasonable.

5 0

3 years ago

HELP!!! Describe at least two differences between constructing an inscribed regular hexagon and constructing an inscribed square

KiRa [710]

An inscribed regular hexagon divides
the circle in six equal segments, while an
inscribed square divides the circle in four
equal segments.
An inscribed regular hexagon divides
the circle into isosceles triangles, while an
inscribed square divides the circle into right-
angled triangles.

4 0

2 years ago