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lara [203]
3 years ago
5

Plz help and explain!!!1-2-3

Mathematics
1 answer:
Andrew [12]3 years ago
3 0

function notation would be f(x)=mx+b

so, y=5(x-2) use the distribuative property first to make the equation 5x-10

f(x)=5x-10

y=-x+3     f(x)=-x+3

y=5+6x   f(x)=6x+5

You might be interested in
the graph below shows how many gallons of gas are used by a boat when it travels. how many gallons of gas would the boat use to
Sindrei [870]
The boat uses 4 gallons to travel 6 miles. Traveling 4 times as far is expected to require 4 times the gas.

4 gallons = 6 miles
Multiply by 4.
16 gallons = 24 miles

⇒ 16 gallons
3 0
3 years ago
A college infirmary conducted an experiment to determine the degree of relief provided by three cough remedies. Each cough remed
KiRa [710]

Answer:

p_v = P(\chi^2_{4,0.05} >3.81)=0.43233

Since the p values is higher than the significance level we FAIL to reject the null hypothesis at 5% of significance, and we can conclude that we don't have significant differences between the 3 remedies analyzed. So we can say that the 3 remedies ar approximately equally effective.

Step-by-step explanation:

A chi-square goodness of fit test "determines if a sample data matches a population".

A chi-square test for independence "compares two variables in a contingency table to see if they are related. In a more general sense, it tests to see whether distributions of categorical variables differ from each another".

Assume the following dataset:

                               NyQuil          Robitussin       Triaminic     Total

No relief                    11                     13                      9               33

Some relief               32                   28                     27              87

Total relief                7                       9                      14               30

Total                         50                    50                    50              150

We need to conduct a chi square test in order to check the following hypothesis:

H0: There is no difference in the three remedies

H1: There is a difference in the three remedies

The level os significance assumed for this case is \alpha=0.05

The statistic to check the hypothesis is given by:

\sum_{i=1}^n \frac{(O_i -E_i)^2}{E_i}

The table given represent the observed values, we just need to calculate the expected values with the following formula E_i = \frac{total col * total row}{grand total}

And the calculations are given by:

E_{1} =\frac{50*33}{150}=11

E_{2} =\frac{50*33}{150}=11

E_{3} =\frac{50*33}{150}=11

E_{4} =\frac{50*87}{150}=29

E_{5} =\frac{50*87}{150}=29

E_{6} =\frac{50*87}{150}=29

E_{7} =\frac{50*30}{150}=10

E_{8} =\frac{50*30}{150}=10

E_{9} =\frac{50*30}{150}=10

And the expected values are given by:

                               NyQuil          Robitussin       Triaminic     Total

No relief                    11                     11                       11               33

Some relief               29                   29                     29              87

Total relief                10                     10                     10               30

Total                         50                    50                    50              150

And now we can calculate the statistic:

\chi^2 = \frac{(11-11)^2}{11}+\frac{(13-11)^2}{11}+\frac{(9-11)^2}{11}+\frac{(32-29)^2}{29}+\frac{(28-29)^2}{29}+\frac{(27-29)^2}{29}+\frac{(7-10)^2}{10}+\frac{(9-10)^2}{10}+\frac{(14-10)^2}{10} =3.81

Now we can calculate the degrees of freedom for the statistic given by:

df=(rows-1)(cols-1)=(3-1)(3-1)=4

And we can calculate the p value given by:

p_v = P(\chi^2_{4,0.05} >3.81)=0.43233

And we can find the p value using the following excel code:

"=1-CHISQ.DIST(3.81,4,TRUE)"

Since the p values is higher than the significance level we FAIL to reject the null hypothesis at 5% of significance, and we can conclude that we don't have significant differences between the 3 remedies analyzed.

4 0
3 years ago
Cindys grandmother is five times her age. Find each of their ages if the sum of their ages is 90
yan [13]

Answer:

cindy=15 grandmother=75

Step-by-step explanation:

90 divide 6 equal to 15

6 0
3 years ago
16. What will be the midpoint of AB with A= (-3,-8) and B = (-9,-8)
mihalych1998 [28]
The answer is: (-6,-8)

7 0
3 years ago
Assign a variable to each quantity and write each statement as an inequality. Then give an example
RideAnS [48]

Answer:

1.

Variable: x

Inequality: x ≤ 12

Value that matches: 12

2.

Variable: y

Inequality: y < 66

Value that matches: 60

Step-by-step explanation:

Solving (1):

Let x be the variable

Reading through the question, we have the inequality to be represented by "at most".

At most is used for less than or equal to.

Hence, the expression can be represented by:

x ≤ 12

The range of this inequality is limited to all natural number that do not exceed 12.

Examples are 8, 2, 11, 12

Solving (2):

Let the variable be y

Reading through the question, we have the inequality to be represented by "below".

Below means less than

Hence, the expression can be represented by:

y < 66

The range of this inequality is limited to all number less than 66.

Examples are 65, 1 , 60......

6 0
3 years ago
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