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
Vaselesa [24]
3 years ago
14

Evaluate the function f(x) = -3x² – 20 Find f(-9)​

Mathematics
1 answer:
dexar [7]3 years ago
8 0

Answer:

f(-9) = -263

Step-by-step explanation:

Find f(-9) by plugging in -9 into the function, and simplifying it:

f(x) = -3x² - 20

f(-9) = -3(-9)² - 20

f(-9) = -3(81) - 20

f(-9) = -243 - 20

f(-9) = -263

So, the answer is f(-9) = -263

You might be interested in
A researcher planned a study in which a crucial step was offering participants a food reward. It was important that three food r
lbvjy [14]

Answer:

Step-by-step explanation:

Hello!

A pilot study was conducted to test if three food rewards are equally appealing to the participants.

Of 60 participants surveyed:

16 preferred cupcakes (CC)

26 preferred candy bars (CB)

18 preferred dried apricots (DA)

If the three types of food are equally appealing for the participants, you'd expect that their proportions will be equal: P(CC)=P(CB)=P(DA)= 1/3

1.

The objective of this pilot study is to test if the observed frequencies follow a theoretical model/ distribution. To analyze this, you have to apply a Chi Square Goodness to Fit test. X^2=sum \frac{(O_i-E_i)^2}{E_i} ~~X^2_{k-1} Where k= number of categories of the variable.

For this example the statistical hypotheses are:

H₀: P(CC)=P(CB)=P(DA)= 1/3

H₁: At least one of the proportions isn't equal to the others.

2.

To calculate the expected frequencies for each category you have to use the formula: E_i= n* P_i where Pi represents the theoretical proportion for the i category, stated in the null hypothesis.

E_{CC}= n* P(CC)= 60*1/3= 20

E_{CB}= n*P(CB)= 60*1/3= 20

E_{DA}= n* P(DA)= 60* 1/3= 20

3.

The cutoff or critical value indicates the beginning of the rejection region for the hypothesis test. For the Chi-Square tests, the rejection region is always one-tailed to the right, meaning that you'll reject the null hypothesis if the value of the statistic is big. For the goodness to fit test you have k-1 degrees of freedom, so the critical value will be:

Assuming α: 0.05

X^2_{k-1;1-\alpha /2}= X^2_{2;0.975}= 7.378

The rejection region is then X²₂ ≥ 7.378

4.

X^2_{H_0}= \frac{(O_{CC}-E_{CC})^2}{E_{CC}} + \frac{(O_{CB}-E_{CB})^2}{E_{CB}}  + \frac{(O_{DA}-E_{DA})^2}{E_{DA}} = \frac{(16-20)^2}{20} +\frac{(26-20)^2}{20} +\frac{(18-20)^2}{20}=  \frac{14}{5}= 2.8

I hope this helps!

5 0
3 years ago
Ryan is selling his collection of Nike Air Jordans. He paid a total of $1720 for the 12 sneakers when they were new. When he goe
timofeeve [1]

Answer:

$1035

Step-by-step explanation:

50% of 1720 = 860

the fixed amount for the sneakers is $175

175+860=$1035

7 0
3 years ago
What is the supplement of an angle having a measure of 120 degrees?
kipiarov [429]
The supplementary angle of 120° is 60°.
So your answer is 60 degrees.
5 0
3 years ago
Pls I need help !!!!
harkovskaia [24]

Answer:I have an answer a good answer

S H R E K I S L O V E

Step-by-step explanation:

Hail Shrek

5 0
3 years ago
How are 1/4 of 12 and 12 divided by 4 related????
Jobisdone [24]
Both expressions are related because 12 divided by 4 equals to 3, and 1/4 of 12 equals to 3 too.
3 0
3 years ago
Other questions:
  • How to turn 3x = -2y into standard form
    11·1 answer
  • Solve the pair of simultaneous equations: <br> 2x + y=7<br> x-2y+1
    7·2 answers
  • Can some help with this ​
    11·2 answers
  • The graph below represents the price of sending text messages using the services of a phone company. What is the constant of pro
    15·2 answers
  • What's the answer 2 over 3 h =-9
    10·2 answers
  • What is the same as moving the decimal point 3 places to the right in a decimal point.
    5·2 answers
  • HELP! Can someone please explain to me how to solve this question?
    6·2 answers
  • Help me by tonight please ! Thank you
    7·1 answer
  • 311/500 write each fraction or mixed numbers as a decimals
    5·1 answer
  • Is the equation a linear function or nonlinear function?
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!