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2 years ago

Please help! Greatly appreciated

Mathematics

1 answer:

Pavlova-9 [17]2 years ago

6 0

$\boxed{\sf 11, 7}\boxed$

Isolate this variable, <em>x</em>,<em> </em>by dividing each side by factors that do <em>not</em> contain the variable.

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Consider the inequality x + 7 < 9. Select all the true statements.

alex41 [277]

Answer:

Step-by-step explanation:

here you go mate

step 1

x + 7 < 9 equation

step 2

x + 7 < 9 subtract -7

x+7(-7)<9(-7)

answer

x<2

3 0

3 years ago

I Need Help With This Its Due In An Hour

AfilCa [17]

Answer:

A. The car travels 65 miles in one hour

B. 97.5 miles

C. 24 Minutes

Step-by-step explanation:

5 0

3 years ago

The length of the human pregnancy is not fixed. It is known that it varies according to a distribution which is roughly normal,

fgiga [73]

Answer:

a) Figure attached

b) $P(234$

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:

$P(234$

And we can find this probability with this difference:

$P(-2$

An we know using the graph in part a that this area correspond to 0.95 or 95%

c) $P(250$

And we can find this probability with this difference:

$P(-1$

An we know using the graph in part a that this area correspond to 0.95 or 34+34+13.5+2.35%=83.85%

d) $P(X$

And using the z score we got:

$P(X$

And that correspond to approximately 0.15%

Step-by-step explanation:

Part a

For this case we can see the figure attached.

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 b

Let X the random variable that represent the length of human pregnancy of a population, and for this case we know that:

Where $\mu=266$ and $\sigma=16$

We are interested on this probability

$P(234$

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:

$P(234$

And we can find this probability with this difference:

$P(-2$

An we know using the graph in part a that this area correspond to 0.95 or 95%

Part c

$P(250$

And we can find this probability with this difference:

$P(-1$

An we know using the graph in part a that this area correspond to 0.95 or 34+34+13.5+2.35%=83.85%

Part d

We want this probability:

$P(X$

And using the z score we got:

$P(X$

And that correspond to approximately 0.15%

5 0

3 years ago

Rewrite 8x6+8x7 using the distributive property

Tema [17]

Answer:

8x(6+7)

Step-by-step explanation:

4 0

3 years ago

What is the length of AB when A is (-7,-6) and B is (1,0)

NemiM [27]

Answer:

The answer is

<h2>10 units</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{( {x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

A (-7,-6) and B (1,0)

The distance between them is

$|AB| = \sqrt{( { - 7 - 1})^{2} + ({ - 6 - 0})^{2} } \\ = \sqrt{ ({ - 8})^{2} + ({ - 6})^{2} } \\ = \sqrt{64 + 36} \\ = \sqrt{100} \: \: \: \: \: \: \: \:$

We have the final answer as

<h3>10 units</h3>

Hope this helps you

5 0

3 years ago