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lbvjy [14]
3 years ago
9

The table gives the lowest recorded temperatures in Fahrenheit for each of four cities.

Mathematics
1 answer:
kiruha [24]3 years ago
6 0

Answer:

b

Step-by-step explanation:

im pretty sure

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A high- speed elevator can rise 500 feet in 30 seconds. Which expression represents the rate, in feet per minute, of the elevato
maria [59]
The expression is r = 500 • 2, where “r” represents the rate.
5 0
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How do you write 18/40 in a decimal
In-s [12.5K]

Answer:

0.45 you divide them

4 0
3 years ago
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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
raj and his sister zia are both at secondary school. Raj is three years older than zia. the sum of the squares of their ages is
Cerrena [4.2K]

Let Zia's age be = x years

Raj is three years older than Zia, so Raj's age = x+3 years

As the sum of the squares of their ages is 369, so

x^{2}+(x+3)^{2}=369

x^{2}+x^{2}+6x+9=369

2x^{2}+6x+9=369

2x^{2}+6x-360=0

Factoring 2 out we have,

x^{2}+3x-180=0

Now solving this equation,

x^{2}+15x-12x-180=0

x(x+15)-12(x+15)

(x+15)(x-12)

x=-15 and x=12

Neglect the negative value as x cannot be negative

So x=12

Hence, Zia's age is 12 years and

Raj's age is 12+3 = 15 years


4 0
3 years ago
PLEASE HELP! THANK YOU!<br><br> Explain your answer!!!
Brrunno [24]

Answer:

1) y = 1/2 x + 3 and y = 1/2 x  are parallel

2) y = 1/2 x + 4   and   y = 1/2 x + 1  are parallel

Step-by-step explanation:

Two lines are parallel only if their slope is equal.

1)

In the first problem:

y = 1/2 x + 3 and y = 1/2 x have same slope ( i.e slope = 1/2)

That means these two equations are parallel to each other.

2)

In the second problem:

y = 1/2 x + 4   and   y = 1/2 x + 1 have same slope( i.e slope = 1/2)

Hence above two equations are parallel to each other.

6 0
3 years ago
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