1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sesenic [268]
3 years ago
6

. During the Grinch's engine test, if the path traveled is represented by the

Mathematics
1 answer:
s344n2d4d5 [400]3 years ago
4 0

Answer: f(-2)=-6

Step-by-step explanation:

For this exercise it is important to remember the multiplication of signs:

(+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-

You have the following function provided in the exercise, which represents the path traveled:

f(x) = 4x + 2

In order to find the value of f(-2) you can follow these steps:

1. You need to substitute x=-2 into the function, then:

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

2. Finally you must evaluate. Then you get:

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

You might be interested in
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
What is 2380 divided by 8 <br>in partial quotients<br>​
TiliK225 [7]
8
2380
=
8 goes into 80 0 times then goes into 380 47.5 times then it goes into 2000 250 times so 250 + 47.5 = 293.5
3 0
3 years ago
Find tan(a) in the triangle<br><br> Any help will be appreciated thank you
Cerrena [4.2K]

Answer:

b 24/25

Step-by-step explanation:

SOHCAHTOA

tan is Opposite over Adjacent sides of the triangle from the perspective of angle A

so the opposite side was 24 and the adjacent side was 25

so the answer is 24/25 aka B

7 0
3 years ago
The sum is 2 One number is twice the other one.​
Scorpion4ik [409]

Answer:

The smaller number is 0.6666... repeating, and the larger number is 1.3333... repeating.

Step-by-step explanation:

7 0
3 years ago
Ms. Anguiano is enjoying a bicycle ride on a country road
GalinKa [24]

Answer:

The rate is 13 miles per hour

Step-by-step explanation:

* Lets explain how to solve the problem

- Jim lives three miles east of State College

- At noon, he leaves his house and begins to walk due east at a

constant speed of 2 miles per hour

- Annie lives four miles north of State College

- At noon, she leaves her house and begins to bicycle due north at a

constant speed of 8 miles per hour

- The east is perpendicular to the north

* Lets solve the problem

∵ At noon means 12 p.m

∵ They moved till 1 p.m

∵ Jim walked for 1 hour and Annie bicycled for 1 hour

∵ The rate of Jim is 2 miles per hour

∵ The rate of Annie is 8 miles per hour

- The distance = rate × time

∴ Jim walked = 2 × 1 = 2 miles

∴ Annie bicycled = 8 × 1 = 8 miles

- Lets calculate the distance of Jim from the State College till his

position at 1 p.m

∵ Jim lives three miles east of State College

∴ His distance at 1 p.m = 3 + 2 = 5 miles east

- Lats calculate the distance of Annie from the State College till her

position at 1 p.m

∵ Annie lives four miles north of State College

∴ Her distance at 1 p.m = 4 + 8 = 12 miles North

- Lets find the distance between them at 1 p.m

∵ The north ⊥ east

- Use Pythagoras Theorem to find the distance

∴ The distance = √(5² + 12)² = √(25 + 144) = √169 = 13 miles

- The rate = distance/time

∵ The distance between them is 13 miles in 1 hour

∴ The rate = 13/1 = 13 miles per hour

* The rate is 13 miles per hour

6 0
3 years ago
Other questions:
  • I think of a number I multiply it by 2,add 50 and my answer is 74 what was my number
    15·2 answers
  • Five hundred customers were asked to rate a service on a scale of 1 (terrible) to 5 (perfect). Results are below: Number of cust
    9·1 answer
  • Simplify 10 (3n+2+10n)
    10·2 answers
  • The variables x and y are related proportionally. When x = 8, y = 20. Find y when x = 80.
    7·1 answer
  • Select "Rational" or "Irrational" to classify each number.
    5·1 answer
  • The FBI selects a random sample of 1000 crime victims of either homicide, robbery, or assault and records whether the criminal w
    15·1 answer
  • The circumference of the hub cap of a tire is 82.58 centimeters.
    13·1 answer
  • Help<br> Is it linear or exponential
    11·1 answer
  • Can someone help me with these two please , i’ll cashapp
    12·1 answer
  • Convert 6 yards into meters. Round your answer to the nearest tenth.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!