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Anuta_ua [19.1K]
4 years ago
15

Given the function f(x) = - 4x + 2. Find the range using the domain. D:{-1, 2} R:{ , }

Mathematics
1 answer:
Svet_ta [14]4 years ago
5 0

Answer:

R { - 6, 6 }

Step-by-step explanation:

To find the range substitute the values of x from the domain into f(x)

f(- 1) = - 4(- 1) + 2 = 4 + 2 = 6

f(2) = - 4(2) + 2 = - 8 + 2 = - 6

Range { - 6, 6 }

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Mike is redecorating his office’s conferences rooms. When they were last painted it took 20 pints of paint. The paint he is usin
german

Previously the volume of paint consumed was: 20 pints

New paint is available in unit of liters.

since, 1 pint = 0.47 liter

20 pint = 9.46 liters (10 liters approx.)

Mike will need to buy 10 liters of paint.

4 0
3 years ago
5. Many samples of the same size are taken from a population with a population proportion of 0.75. Which sample
antoniya [11.8K]

Answer:

18.

Step-by-step explanation:

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean \mu and standard deviation \sigma, the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n(n being at least 30), the sampling distribution of the sample proportion will be approximately normal with mean \mu = p and standard deviation s = \sqrt{\frac{p(1-p)}{n}}

In this question:

n has to be at least 30. So the choice that answer this question, a size of n too small to use a normal curve to approximate the sampling distribution, is 18.

8 0
3 years ago
Find the slope of the line through each pair of points
NNADVOKAT [17]

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

95)

(-13,\ -10)\to x_1=-13,\ y_1=-10\\(16,\ 16)\to x_2=16,\ y_2=16

substitute:

m=\dfrac{16-(-10)}{16-(-13)}=\dfrac{16+10}{16+13}=\dfrac{26}{29}

96)

(6,\ -16)\to x_1=6,\ y_1=-16\\(-15,\ 9)\to x_2=-15,\ y_2=9

substitute:

m=\dfrac{9-(-16)}{-15-6}=\dfrac{25}{-21}=-\dfrac{25}{21}

97)

(12,\ -11)\to x_1=12,\ y_1=-11\\(14,\ -12)\to x_2=14,\ y_2=-12

substitute:

m=\dfrac{-12-(-11)}{14-12}=\dfrac{-12+11}{2}=-\dfrac{1}{2}

OK. I think you already know how to solve it. I will give short solutions now.

98)

m=\dfrac{15-(-3)}{8-(-14)}=\dfrac{18}{22}=\dfrac{9}{11}

99)

m=\dfrac{3-(-5)}{-7-3}=\dfrac{8}{-10}=-\dfrac{4}{5}

100)

m=\dfrac{-8-8}{-11-0}=\dfrac{-16}{-11}=\dfrac{16}{11}

101)

m=\dfrac{13-(-5)}{-13-(-13)}=\dfrac{18}{0}!!!-\boxed{NOT\ EXIST}

102)

m=\dfrac{18-1}{-10-2}=\dfrac{17}{-12}=-\dfrac{17}{12}

103)

m=\dfrac{19-14}{7-(-17)}=\dfrac{5}{24}

104)

m=\dfrac{12-0}{-6-4}=\dfrac{12}{-10}=-\dfrac{6}{5}

5 0
3 years ago
I need help, i don’t understand if
MakcuM [25]

Answer:

(6,6)

Step-by-step explanation:

Hope this helps!

7 0
3 years ago
How to find the surface area of an irregular cylinder
Nataly [62]
Https://math.wonderhowto.com/how-to/find-surface-area-cylinder-easily-302679/ the video on this website helped me a lot hope it helps you
8 0
3 years ago
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