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3 years ago

Is 5.78778778 a rational or irrational number? Explain

1 answer:

6 0

Hello There!

It is rational as it can be written as a fraction and had a pattern to it.

Hope This Helps You!
Good Luck :)

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Problem PageQuestion Calcium levels in people are normally distributed with a mean of mg/dL and a standard deviation of mg/dL. I

SIZIF [17.4K]

Complete Question

The complete question is shown on the first uploaded image

Answer:

The calcium level that is the borderline between low calcium levels and those not considered low is $c = 8.68$

Step-by-step explanation:

From the question we are told that

The mean is $\mu = 9.5\ mg/dL$

The standard deviation $\sigma = 0.5 \ mg/dL$

The proportion of the population with low calcium level is $p =$ 5% = 0.05

Let X be a X random calcium level

Now the P(X < c) = 0.05

Here P denotes probability

c is population with calcium level at the borderline

Since the calcium level is normally distributed the z-value is evaluated as

$P(Z < \frac{c - \mu}{\sigma } ) = 0.05$

The critical value for 0.05 from the standard normal distribution table is

$t_{0.05} = -1.645$

=> $\frac{c - \mu}{\sigma } = -1.645$

substituting values

$\frac{c - 9.5}{0.5 } = -1.645$

=> $c - 9.5 = -0.8225$

=> $c = 8.68$

6 0

3 years ago

Factorise fully p^3 + p^2

nikklg [1K]

Answer:

$\huge\boxed{p^3+p^2=p^2(p+1)}$

Step-by-step explanation:

$p^3+p^2\\\\p^3=p^{2+1}=p^2\cdot p\\\\p^3+p^2=p^2\cdot p+p^2\cdot1=p^2(p+1)$

Used:

$a^n\cdot a^m=a^{n+m}\\\\\text{distributive property}:\ a(b+c)=ab+ac$

3 0

2 years ago

What is the equation of the line passing through the points (3,6) and (2,10)

andrezito [222]

Answer: y= - 4x+18

Step-by-step explanation:

Equation: y=mx+b

***remember: b is the y-intercept and m is the slope.

m= $\frac{y2-y1}{x2-x1}$

3= x1

2= x2

6= y1

10=y2

m= $\frac{10-6}{2-3}$ = $\frac{4}{1}$ = -4

m=-4

Now we have y=-4x+b , so let's find b.

You can use either (x,y) such as (3,6) or (2,10) point you want..the answer will be the same:

(3,6). y=mx+b or 6=-4 × 3+b, or solving for b: b=6-(-4)(3). b=18.

(2,10). y=mx+b or 10=-4 × 2+b, or solving for b: b=10-(-4)(2). b=18.

Equation of the line: y=-4x+18

3 0

3 years ago

Which operations will ALWAYS result in an irrational number?

kupik [55]

Answer: Math isnt my thing buttttt

Its R+R its right on ed

Step-by-step explanation:

8 0

3 years ago

Is 4(5a-8)+2a equivalent to 12a-6

dem82 [27]

No, it would end up being 20a-32 which is not equivalent to 12a-6

8 0

3 years ago

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