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m_a_m_a [10]
2 years ago
10

The range of the function

Mathematics
1 answer:
Rus_ich [418]2 years ago
4 0
The range of this function is all real numbers. When it is a linear function it can reach negative and positive infinity. 
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Find the slope of the line that passes through the given points.<br> (7,3) and (13,8)
Trava [24]

Answer:

\frac{5}{6}

Step-by-step explanation:

To find the slope, use the equation to find slope. The picture below shows what it looks like.

Using the equation, substitute the values in the x and y values.

  • \frac{8-3}{13-7}

Then solve

  • \frac{5}{6}

4 0
3 years ago
Nina has some nickles and 9 pennies in her pocket her friend Maurice has twice as many nickles as Nina together their coins are
kotykmax [81]
I think if we add 34 + 9 + 20 + 21 + is = 84
7 0
3 years ago
We wish to give a 90% confidence interval for the mean value of a normally distributed random variable. We obtain a simple rando
coldgirl [10]

Answer: (9.27025,\ 11.12975)

Step-by-step explanation:

Given : Sample size : n= 9

Degree of freedom = df =n-1 =8

Sample mean : \overline{x}=10.2

sample standard deviation : s= 1.5

Significance level ; \alpha= 1-0.90=0.10

Since population standard deviation is not given , so we use t- test.

Using t-distribution table , we have

Critical value = t_{\alpha/2, df}=t_{0.05 , 8}=1.8595

Confidence interval for the population mean :

\overline{x}\pm t_{\alpha/2, df}\dfrac{s}{\sqrt{n}}

90% confidence interval for the mean value will be :

10.2\pm (1.8595)\dfrac{1.5}{\sqrt{9}}

10.2\pm (1.8595)\dfrac{1.5}{3}

10.2\pm (1.8595)(0.5)

10.2\pm (0.92975)

(10.2-0.92975,\ 10.2+0.92975)

(9.27025,\ 11.12975)

Hence, the 90% confidence interval for the mean value= (9.27025,\ 11.12975)

6 0
3 years ago
The segment GH and GI are tangent
vodka [1.7K]

Answer:

  OG = 8.7

Step-by-step explanation:

The angle a tangent makes with a radius at the point of tangency is a right angle. That means ΔOGH is a right triangle.

The tangents to a circle from an external point are congruent, so GH = GI = 6.3. Now we know the sides of the right triangle are of lengths 6 and 6.3. The hypotenuse, OG is found using the Pythagorean theorem.

  OG² = OH² +GH²

  OG² = 6² +6.3² = 75.69

  OG = √75.69 = 8.7

The length of OG is 8.7 units.

______

<em>Additional comment</em>

You might recognize this triangle as a 0.3 multiple of the Pythagorean triple (20, 21, 29).

8 0
2 years ago
If f(x) = x + 7 and g(x)=1/x, what is (f o g)(x)?
Black_prince [1.1K]

Answer: 1/x + 7

Step-by-step explanation: you plug the function g(x) into the function f(x) .. substitue g(x) for the x in f(x)

G(x) = 1/x , so you plug that in the x of f(x) and get 1/x + 7

8 0
3 years ago
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