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2 years ago

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