Solve for k:
K/2 plus 1/2=3

Answer:

22

-10

-16

-21

-32

Explanation:

On a number line, negative numbers are on the left and positive numbers are on the right. So, typically, the positive numbers would be less than the negative numbers.

Hope this Helps!

Answer:

20

21.75

27.85

29.5

Step-by-step explanation:

Arranging the values in ascending order we get

16 21 24 24 27 28 30 35

n = Number of values = 8

Rank is given by

[tex]\dfrac{\text{Percentile}}{100}\times (n+1)[/tex]

[tex]=\dfrac{20}{100}(8+1)=1.8[/tex]

Taking the fraction of the rank i.e., 0.8 and work out the weighted mean

[tex]0.8\times (21-16)+16=20[/tex]

The 20th percentile is 20

[tex]\dfrac{25}{100}(8+1)=2.25[/tex]

[tex]0.25(24-21)+21=21.75[/tex]

The 25th percentile is 21.75

[tex]\dfrac{65}{100}(8+1)=5.85[/tex]

[tex]0.85(28-27)+27=27.85[/tex]

The 65th percentile is 27.85

[tex]\dfrac{75}{100}(8+1)=6.75[/tex]

[tex]0.75(30-28)+28=29.5[/tex]

The 75th percentile is 29.5

Answer:

Step-by-step explanation:

In this problem we are required to provide the expression for the two scenarios highlighted

The first scenario is

"Each pound of trout costs $30, and the company charges a $2 fee for

shipping the order"

The expression for the above scenario is given as

30x + 2, 0 < x < 10

The second scenario is

"if Karen orders 10 or more pounds, the trout costs only $24 per pound, but the shipping fee is $6."

The expression for the second scenario is

24x + 6, x > 10

Answer:

34.57 I'm pretty sure yayyy

Answer:

34.567 rounded to tenths is 34.6

Step-by-step explanation:

because if you look at the number to the right it five or more so you raise the score and the five turns to a 6 so 34.567 = 34.6

Answer:

Small dog =18

Big dog=50

Step-by-step explanation:

68-50=18

Answer:

75+68

Step-by-step explanation:

Answer:

I think the first answer is 8 and I dont know the second answer

Answer:

-38 + (-30) = -68

-28 + 45 = 17

Answer:

4.23 rounded to the nearest whole number is 4.

Answer:

4.23 2.115 per item

Step-by-step explanation:

Answer: The first 3 are functions. The last one is not a function

Step-by-step explanation: What you can do is the line test. If you draw a line through it, the line shouldn't touch the arrow twice. Like the last one, it touches the line twice, so it is not a function

Answer:

The absolute change would be 3 percentage points.

The relative change would be 100%

Step-by-step explanation:

The answer is number 4. x=1 x=2 x=-2

Answer: 4

Step-by-step explanation: Brainliest plz!!

Answer:-1

Step-by-step explanation: It’s seen as a pattern going back and forth between a few answers.

Answer:

It's -1.

Step-by-step explanation:

i has no value but if you multiply it by itself 30 times you get -1. Imaginary numbers are great, I know.

Answer:

x-2 =0

x=2

now

putting the x value in p

we have,

p(2) = x2 + 2x +k

= 2×2 +2×2+k

= 4+4+k

= 8+k

so,

Either

8+k =0

k= - 8

Answer: The domain is all of the possible values for the input (x) axis.  The range is the possible values for the output (y).

Step-by-step explanation: You will have to subtract the least value from the greatest value for both your x and y.

Answer: 0.375

Step-by-step explanation:

Given: The difference between actual and predicted weekly sales of a company follows a uniform distribution between -$4000 and $4000.

Probability density function: [tex]f(x)=\dfrac{1}{b-a}=\dfrac{1}{4000-(-4000)}=\dfrac{1}{8000}[/tex]

The probability that the actual sale is within $1500 of the predicted sale = [tex]\int^{1500}_{-1500}f(x)dx=\int^{1500}_{-1500}\dfrac{1}{8000}dx=\dfrac{1}{8000}[x]^{1500}_{-1500}\\\\= \dfrac{1}{8000}(1500-(-1500))\\\\= \dfrac{1}{8000}(3000)=0.375[/tex]

Hence, Required probability =0.375

Answer: 1.54

Step-by-step explanation:

Given that :

Z = normal random variable

Area to the left of z = 0.9382

For a random normal distribution ;

P(Z < x) = 0.9382

Using the Z table (standard normal distribution table) ;

Locating the probability value (0.9382) on the table and picking the intersecting z value both horizontally and vertically :

Horizontal value = 1.5

Vertical value = 0.04

Horizontal + vertical = (1.5 + 0.04) = 1.54

Q: -10x-(-4)=14

A: x=-1

Process:

-Subtracting a negative is just like adding 10x+4=14

-Subtract 4 from both sides -10x=10

Divide -10 from both sides x=-1

Answer:

120cm

Step-by-step explanation:

The surface area of the square pyramid is 127.4 square centimeters

A three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

The given figure is a square pyramid

The formula to find surface area = a²+2a√a²/4+h²

a is the base edge length and h is the height

a is 6 cm and h is 7 cm

Surface area =  6²+2(6)√6²/4+7²

=36+12√36/4+49

=127.4 square centimeters

Hence, the surface area of the square pyramid is 127.4 square centimeters

To learn more on Three dimensional figure click:

https://brainly.com/question/2400003

#SPJ2

Answer:

you could stay there 6 nights

Step-by-step explanation:

to solve this you would do 825$ ÷ by the amout which is 134$ and then you get 6.15671641791 then you would round it which give you 6 nights.

Complete Question

A random sample of 114 observations produced a sample mean of 30. Find the critical and observed values of z for the following test of hypothesis using α=0.01. The population standard deviation is known to be 5 and the population distribution is normal.

[tex]H_o: \mu =28[/tex]  versus H1: μ>28.

Round your answers to two decimal places.

[tex]z_{critical} =[/tex]

Answer:

 [tex]z_{critical} = 2.33[/tex]

The observed value  is   [tex] z = 4.27  [/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  n  =  114

   The sample mean  is  [tex]\= x   =  30[/tex]

   The  significance level is  [tex]\alpha = 0.01[/tex]

   The population standard deviation is  [tex]\sigma = 5[/tex]

The null hypothesis is  [tex]H_o: \mu =28[/tex]  

 The alternative hypothesis is   H1: μ>28.

 Generally the test statistics (observed value ) is mathematically represented as

      [tex] z = \frac{ \= x - \mu }{ \frac{\sigma }{\sqrt{n} } } [/tex]

=>     [tex] z = \frac{ 30- 28 }{ \frac{5}{\sqrt{114} } }  [/tex]

=>     [tex] z = 4.27  [/tex]

From the normal distribution table the critical value  of  [tex]\alpha = 0.01[/tex] is  

     [tex]z_{critical} = 2.33[/tex]

Answer:

The mean and variance of X are 2.82 and 0.1692  respectively

Step-by-step explanation:

The binomial distribution is a discrete probability distribution that tells the percentage in which a result is likely to be obtained between two possibilities when performing n number of tests. In other words, a binomial distribution is a discrete probability distribution that describes the number of successes when conducting n independent experiments on a random variable.

In a binomial distribution, the mean indicates the mean value of a random phenomenon. It is calculated by:

μ=n*p

Where:

This case is a binomial distribution, where n = 3 and p = 0.94. Then:

μ=3*0.94

μ=2.82

The mean of X is 2.82.

Variance is a measure of dispersion that represents the variability of a data series with respect to its mean. It is calculated by:

Var[X]= n*p*q

Where:

Remembering that the random variable X expresses the number of successes obtained when performing "n" independent Bernouilli tests or tests with probability "p" of success and "(1-p)" of failure, then q = 1-p.

So:

Var[X]= n*p*(1-p)

In this case:

Var[X]=3*0.94*(1-0.94)

Var[X]=3*0.94*0.06

Var[X]=0.1692

The variance of X is 0.1692

The system of equations is Option D.

12x + 15y = 9

-12x - 18y = -6

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the first equation be A , 4x + 5y = 3

Let the second equation be B , 2x + 3y = 1

Now ,

The equations can be solved by

4x + 5y = 3   be equation (1)

2x + 3y = 1   be equation (2)

Multiply equation (1) by 3 , we get

12x + 15y = 9   be equation (3)

Multiply equation (2) by -6 , we get

-12x - 18y = -6   be equation (4)

So , the system of equations are

A , 12x + 15y = 9

B , -12x - 18y = -6

Hence , the system of equations are 12x + 15y = 9  and  - 12x - 18y = -6

To learn more about equations click :

https://brainly.com/question/10413253

#SPJ5

Answer:

y+4

Step-by-step explanation:

Answer:

(f + g)(x) = 3x + 6

Step-by-step explanation:

Brainliest?

Answer:

0.3125

Step-by-step explanation:

From the full question in your book, the probability can be computed as:

[tex]P(X+Y=6) = P \{X=1,Y=5\} \cup \{X=2,Y=4\} \cup \{X=3,Y=3\} \cup \{X=4,Y=2\} \cup \{X=5,Y=1\}[/tex]

[tex]= P(X=1,Y=5) + P(X=2,Y=4)+P(X=3,Y=3)+P(X=4,Y=2)+P(X=5,Y=1)[/tex]

since all events are enclosed in brackets, they are mutually exclusives.

Then:

[tex]= P(X=1)P(Y=5)+P(X=2)P(Y=4)+P(X=3)P(Y=3)+P(X=4)P(Y=2)+P(X=5)P(Y=1)[/tex]

as X and Y are independent;  

= [tex](0.25\times0.25 + 0.25\times0.25 + 0.25\times0.25+0.25\times0.25 + 0.25\times0.25)[/tex]

= 0.3125

Therefore;

P(X+Y= 6) = 0.3125

Answer:

Step-by-step explanation:

Mean μ = 36

standard deviation σ = 10

n = 16

standard deviation of the group σ₁ = σ / √n

σ₁ = 10/ √16

= 10 / 4 = 2.5

σ₁  = 2.5

P ( x > 35 ) = 1 - P ( x < 35 )

P ( x < 35 ) = P( z < (35 - 36) / 2.5 ) = P( z < (35 - 36) / 2.5 )

= P( z < 0.4  )

= .3446

P ( x > 35 ) = 1 - .3446

= .6554 .

Answer: Use the graph of the line to answer the questions.

What is an equation of the line in point-slope form?

✔ y + 1 = (1/3)(x + 2)

How can the point-slope form be written in function notation?

✔ f(x) = (1/3)x – (1