what is the range of the function f(x)=(x+4)²+5

Answer:

A) It fulfills the condition of binomial experiment

B) P (x=12) =0.1678

C)P ( x ≥16)= 0.1011

d) P (x>17) =0.0096 < 0.5

Step-by-step explanation:

A. The binomial probability distribution has the following four properties

1. the outcomes of each trial maybe classified into success and failure.

2) the probability of success p remains constant for all trials.

3) the successive trials are all independent.

4) the experiment is repeated a fixed number of times ,n.

These all conditions are fulfilled by the given question so it is a  binomial experiment.

B) P (x=12) = 20C12 (0.64)^12 * (1-0.64)^8= 0.1678

C) P ( x ≥16) = P (x=16) + P (x=17) + P (x=18) + P (x=19)+ P (x=20)

where

P (x=16)= 20C16 (0.64)^16 * (1-0.64)^4= 0.0645

P (x=17)= 20C17 (0.64)^17 * (1-0.64)^3= 0.0270

P (x=18)= 20C18 (0.64)^18 * (1-0.64)^2= 0.0080

P (x=19)=20C19 (0.64)^10 * (1-0.64)^1= 0.0015

P (x=20)= 20C20 (0.64)^20 * (1-0.64)^0= 0.0001

so

P ( x ≥16)= 0.0645+ 0.0270 +0.0080+ 0.0015+0.0001= 0.1011

d) P (x>17)= P (x=17) + P (x=18) + P (x=19)+ P (x=20)

                    =0.0270 +0.0080+ 0.0015+0.0001

                         =0.0096

From this we see that the probability of  more than 17  people who flush public toilets with their foot is unusual because it is far away from the mean which is supposed to be somewhere 0.5 in a given distribution.

Answer:

4

Step-by-step explanation:

2×4 equals 8 4 papers in 8 hours

Answer:

(C) Maria's elevation increased between 9:00 and 12:00

Step-by-step explanation:

Looking at the graph, we can test each statement.

For A, it says Maria's elevation remained constant for 2 hours. Looking at the graph, we can see that it remained constant for just one hour, so this is eliminated.

For B, Maria's elevation decreased between 1:00 and 3:00, we can see that while x is between 1:00 and 3:00, the y is decreasing, meaning this statement is false - this is eliminated.

For C, Maria's elevation increased between 9:00 and 12:00, we can see that while x is between 9:00 and 12:00, the graph is increasing - which means this is correct.

For D, Maria spent more time decreasing her elevation than increasing, we can count how many hours were spent doing each. Comparing the x-axis, we can see that Maria spent 5 hours increasing and 3 hours decreasing, meaning that Maria spent more time INCREASING than decreasing, making this statement false.

Hope this helped!

Answer: C A B C D

Step-by-step explanation: I HAVE NONE IM JUST SMART

I THINK?

Answer:

[tex]16a(4a^2-9a)+27b^2(4a-b)[/tex]

Step-by-step explanation:

The question is not properly formatted, here is a good format for proper understanding and readability

[tex]64a^3-27b^3-144a^2+108ab^2[/tex]

let us first collect/ group like terms

[tex]64a^3-144a^2+108ab^2-27b^3[/tex]

we can now bring out the common factors we have

[tex]16a(4a^2-9a)+27b^2(4a-b)[/tex]

The simplified expression is

[tex]16a(4a^2-9a)+27b^2(4a-b)[/tex]

Answer:

Step-by-step explanation:

In this problem we are required to place flowers evenly across  3 flower vases.

Given that we have 25 flower to collect from and distribute evenly.

we are going to divide 25 by 3

We have

[tex]= \frac{25}{3}\\\\ =8\frac{1}{3}[/tex]

From the result in the improper fraction we can see the Darren can place 8 flowers evenly of the 25 flowers and there will be just one left over

Answer:

y=-1/4x-1/2

Step-by-step explanation:

When two lines are parallel, they have the same slope.

So for this line, we already know that the slope (m) has to equal -1/4x.

Slope intercept form is y=mx+b, where m is the slope and b is the y intercept.

in order to find the equation, we must plug in x and y to solve for b, the y intercept (the value of y when x=0).

Now, let's plug in 2 for x and -1 for y and solve for b:

-1=-1/4(2)+b=-1=-1/2+b=-1+1/2=b

b=-1/2

Hence, the answer is y=-1/4x-1/2

Answer:

The answer is -1/4x - 1/2

Step-by-step explanation:

Just took the Unit Session

Answer: Hi!

The place value of 6 in 37651 is equal to 600, as it is in the hundreds place.

All we need to do is multiply 600 by 11:

600 * 11 = 6600

Hope this helps!

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

So in 37,651, the 6 is in the hundreds place since it's the third digit (from right to left).

6 in the hundreds place is 600.

600 times 11 equals 6600.

━━━━━━━━━━━━━━━ ♡ ━━━━━━━━━━━━━━━  

♡ Hope this helps! ♡

❀ 0ranges ❀

Answer:

Y= 7.9 lb

X= 10.1 lb

Step-by-step explanation:

The chef orders 2.2 lb more carrots than celery. The two orders weigh 10.8 lb combined.

Let carrot= x

Let celery= y

X+y = 18...... equation one

X= 2.2 +y.... equation two

Substituting the value of x into equation one

2.2 +y +y =18

2y= 18-2.2

2y= 15.8

Y= 7.9 lb

Substituting the value of yinto equation 2

X= 2.2 +y

X= 2.2 + 7.9

X= 10.1 lb

Answer: He doesn't have any money left that period point blank

Step-by-step explanation

7-6=1

1-3= you cant do that

so he doesn't get soda at all.

Answer:

When finding the y-intercept it indicates that the x-coordinate will be zero.

So,when letting x=0 you will get

y=-3(0)+4

Hence,

y=4

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Hello!

A function is a equation that every input has one output

To find if an equation is a function we put in a number for one variable and solve

I'll use 0

y^2 = 0^2 + 5(0) + 4

Simplify

y^2 = 0 + 0 + 4

Combine like terms

y^2 = 4

To remove the square from y you put 4 in the square root in both negative and positive

[tex]y=\sqrt{4}[/tex] [tex]y=-\sqrt{4}[/tex]

Simplify

y = 2, y = -2

For one input (0) we get two outputs (2 and -2) this means it is not a function. So the answer is B

Hope this Helps!

Answer:

The differences become smaller

Step-by-step explanation:

Normally, we use the t-distribution table rather than the normal distribution when the population standard deviation is unknown and when the sample size is small i.e. less than 30.

Now, as the sample size gets bigger, we will be getting closer to the point where we have to use the normal distribution.

This means that as the sample size increases, the values of the t-distribution will be getting close to that of the normal distribution because normal distribution is used when sample is more than 30.

For example the t-value for a sample of 25 people would be closer to the normal distribution value for a sample of 35 people while a t-value for a sample of 15 people will be far away from the normal distribution value for a sample of 35 people.

Thus, as the sample size increases, the differences between the t-distribution and standard normal distribution becomes smaller.

Answer:

please mark my answer brainliest

Step-by-step explanation:

in tri ABD and bcd...

AD =DC ...given

AB =BC.....given

BD =BD.....common

therefore...both tri are congruent...by SSS CRITERION

therefore angle adb...and angle bdc are equal...cpct...

therefore angle bdc =32°

angle dbc =90°

therefore angle bcd =angle C=180- (90 +32) =58°

angle C=58°....answer

Answer:

D. 8

Step-by-step explanation:

We can see the numbers from 20 (inclusive) to 45 on the plot:

Correct answer choice is: D. 8

Answer:

$43,350

Step-by-step explanation:

To find the increase in the salary we need to find the percentage.

2 percent of $42,500 = $850.

$42,500 + $850 =  $43,350.

New salary = $43,350.

Answer:16

Step-by-step explanation:

Given: 15% of 60 is 9.

so 9 kids are 15 year old.

and 1 other kid is 16 year old.

Thus, there are total of (15+1) kids that are either 15 or 16 year old. you can also draw venn diagram to find that.

Answer:

See below.

Step-by-step explanation:

1.

Statement 8. triangle SQR is congruent to triangle TQP

Reason 8. ASA

2.

The only way to prove those two sides are congruent is to first prove that the triangles that contain those sides are congruent. Then you can use CPCTC to prove those sides congruent.

Step-by-step explanation:

If (5) = 3

Then (10) = 6

Because 5 x 2 = 10 so 3 x 2 = 6

False.

Slope is the "rise over run" (y/x) in a linear equation. Because the denominators are the same in both fractions, it means you can just focus on the numerator with the larger number as that one will be the steeper line.

Answer:

c

Step-by-step explanation:

:)

Answer:

air conditioning or air cooling or climate control

hope this helps :)

Answer:

the answer is -7

Step-by-step explanation:

m+9=2-9

-9

m=. -7

Answer:

Step-by-step explanation:

H₀ : The distribution of the sample agrees with the population distribution.

H₁ : the distribution of the does not agree with the population distribution.

Using the  Chi-square test statistics

we will compute the expected frequencies

Now expected frequency for Washington will be

Fe = Npi = 1000×51% = 5100

expected frequency for Oregon

Fe = Npi = 1000×30% = 300

expected frequency for Idaho

Fe = Npi = 1000×11% = 110

expected frequency for  Montana

Fe = Npi = 1000×8% = 80

The Chi=square test statistics is;

x² = ∑ [ (Fo - Fe)² / Fe )

now we substitute

Given our Fo ( 450 in Washington, 340 in Oregon, 150 in Idaho, and 60 in Montana) from the question

x² =  (450-510)²/510 + (340-300)²/300 + (150-110)²/110 + (60-80)²/80

x²= 31.9376

so the chi-square test statistics is 31.9376

Now the chi-square critical value

first we compute for degree of freedom

d.f = k -1 = 4 - 1 = 3

So from the critical value table, degree of freedom 3 and significance level 0.05,

the chi-square critical value is 7.8147

Therefore chi-square test statistics 31.9376 is greater than the chi-square critical value 7.8147, so NULL HYPOTHESIS IS REJECTED at 5% significance.

There is sufficient evidence to warrant rejection  of the claim that the distribution of the sample agrees with the distribution of the state populations.

Answer:

14

Step-by-step explanation:

you clean 2 a hour so 7*2=14

Answer:

14 houses

Step-by-step explanation:

Answer:

0_10 =0_2

Step-by-step explanation:

Convert the following to base 2:

0_10

Hint: | Starting with zero, raise 2 to increasingly larger integer powers until the result exceeds 0.

Determine the powers of 2 that will be used as the places of the digits in the base-2 representation of 0:

Power | \!\(\*SuperscriptBox[\(Base\), \(Power\)]\) | Place value

0 | 2^0 | 1

Hint: | The powers of 2 (in ascending order) are associated with the places from right to left.

Label each place of the base-2 representation of 0 with the appropriate power of 2:

Place | | | 2^0 |  

| | | ↓ |  

0_10 | = | ( | __ | )_(_2)

Hint: | Divide 0 by 2 and find the remainder. The remainder is the first digit.

Determine the value of 0 in base 2:

0/2=0 with remainder 0

Place | | | 2^0 |  

| | | ↓ |  

0_10 | = | ( | 0 | )_(_2)

Hint: | Express 0_10 in base 2.

The number 0_10 is equivalent to 0_2 in base 2.

Answer: 0_10 =0_2

Answer:

a. 1120 is the area b. max # of ppl is 80

Step-by-step explanation:

a. Area= Length* width = 28 * 40 = 1120

(8,10) and (8,38) have 28 units between them

(8,10) and (48,10) have 40 units between them

b. Since the area is 1120 and they say that only one person is allowed per 14 square feet, you would divide 1120 by 14 to get 80 people

If each coordinate equals 1 foot then:

(8,10) to (48,10) is 40 feet (48-8)

(8,10) to (8,38) is 28 feet (38-10)

so now you got length 40 and width 28

40 x 28 = 1120

a. 1120ft^2

b. 1120 / 14 = 80

Answer:

B. To test if the mean annual income of Ontarians is higher than that of British Columbians

E. To test if there is a difference between the mean annual income of male British Columbians and that of female British Columbians.

Explanation:

The options chosen have two populations that are independent. For example in option B, the annual income of Ontarians is a different population from annual income of British Columbians and they are also independent. The two sample t test can only be used when the populations are independent, it can also be used when computing difference between the means of two populations

The scenarios where conducting a two-sample t-test for means be appropriate include:

It should be noted that the two sample t-test is used when the populations are independent band the sample size is small.

Therefore, it will be appropriate to test if there is a difference between the proportion of low-income families in British Columbia and a known national and the difference between the mean annual income of male British Columbians and that of female British Columbians.

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https://brainly.com/question/17042228