Find the midpoint of the segment with the following endpoints.
(4, -10) and (0,0)

Answer:

a)P ( A∩S) =  0.116

b) P (x= 5) =0.272

c)  P (at most 5) = 0.950647

Step-by-step explanation:

Let A be an event that the  maize (modern-day corn) ears carry single spikelets and B be an event that the  maize carry paired spikelets.

Then P (B) = 60% = 0.6

P (A) = 1-P (b) = 0.4

Let S be the event that seed with single spikelets will produce an ear with single spikelets and Q be the event that seed with  paired spikelets will produce an ear with single spikelets .

Then

P (S) = 29% = 0.29

P (Q ) = 26% = 0.26

n= 10

We want to find out that exactly 5 single spikelets  seeds produce single spikelets .

P ( A∩S) = P(A) *P(S) = 0.4 * 0.29= 0.116

Now we have to find that exactly five of the ears produced by these seeds have single spikelets.

b) P (x= 5) =  P(A) *P(S)+  P(B) *P(R)

= 0.4 * 0.29 + 0.6 * 0.26

= 0.116+ 0.156= 0.272

At most five ears have single spikelets.This follows a binomial distribution where n is fixed and also p and q are same.

P ( x= at most 5) = 10C5 ( 0.116)^ 5(0.884)^5 +10C4 ( 0.116)^ 4(0.884)^6+10C3 ( 0.116)^ 3(0.884)^7+10C2 ( 0.116)^ 2(0.884)^8 +10C9 ( 0.116)^ 1(0.884)^9+10C10 ( 0.116)^ 0(0.884)^10    

=0.002857+0.018145+ 0.0000234+0.2558+ 0.3824+ 0.29144

= 0.950647

Answer:

78 41/50 :)

Step-by-step explanation:

The Operating income is $172,500.

To calculate the margin of safety, contribution margin ratio, and operating income, we need to use the given information.

a. Margin of Safety:

Margin of Safety = Actual Sales - Break-even Sales

Given that the break-even point is at $750,000 in sales revenue and actual sales are $1,100,000, we can calculate the margin of safety:

Margin of Safety = $1,100,000 - $750,000 = $350,000

Therefore, the margin of safety is $350,000.

b. Margin of Safety as a Percentage of Sales:

Margin of Safety Percentage = (Margin of Safety / Actual Sales) * 100

Using the values from the previous calculations:

Margin of Safety Percentage = ($350,000 / $1,100,000) * 100 = 31.82%

Therefore, the margin of safety expressed as a percentage of sales is approximately 31.82%.

c. Contribution Margin Ratio:

Contribution Margin Ratio = (Contribution Margin / Sales) * 100

To calculate the contribution margin, we need to subtract variable costs from sales:

Contribution Margin = Sales - Variable Costs = $1,100,000 - $645,000 = $455,000

Using the values, we can calculate the contribution margin ratio:

Contribution Margin Ratio = ($455,000 / $1,100,000) * 100 = 41.36%

Therefore, the contribution margin ratio is approximately 41.36%.

d. Operating Income:

Operating Income = Sales - Variable Costs - Fixed Costs

Using the values provided:

Operating Income = $1,100,000 - $645,000 - $282,500 = $172,500

Therefore, the operating income is $172,500.

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Answer:

h(-2) = -5

Step-by-step explanation:

Step 1: Define

h(x) = 3x + 1

h(-2) is x= -2

Step 2: Substitute and Evaluate

h(-2) = 3(-2) + 1

h(-2) = -6 + 1

h(-2) = -5

Answer:

47

Step-by-step explanation:

starts off with 26 and has $21 to spend, if there each $1 then she can buy 21 more so the answer is 26+21 which = 47

Answer:

No, it is not

Step-by-step explanation:

5 cant be simplified even down further unless it is a decimal or a fraction

Answer:

The single transformation in this figure is reflection through the y axis at 2 y axis

If my answer helped, please mark me as the brainliest!!

Thank You!!

Answer :

Part 17: The value of x is 5.

Part 18: The value of x is 2°.

Step-by-step explanation :

Part 17:

Given:

Length SR = 2x - 9

Length RQ = x + 6

Length SQ = 12

Now we have to determine the value of x.

Length SQ = Length SR + Length RQ

12 = (2x - 9) + (x + 6)

12 = 2x - 9 + x + 6

12 = 3x - 3

3x = 15

x = 5

The value of x is 5.

Part 18:

Given:

∠MLK = 81x - 2

∠HLK = 54x + 2

∠MLH = 50°

Now we have to determine the value of x.

∠MLK = ∠HLK + ∠MLH

81x - 2 = 54x + 2 + 50°

81x - 2 - 54x - 2 = 50°

27x - 4 = 50°

27x = 54°

x = 2°

The value of x is 2°

Answer:

Commutative Property, the third one is Associative Property

Step-by-step explanation:

Answer:

Associative property

Step-by-step explanation:

On the second line, two of the numbers are switched, this is associative property, which is the numbers in an addition or multiplication problem can be put into any order because you will get the same answer

Answer:

28$

Step-by-step explanation:

(267-15)/9

Answer:

b. form: p → q invalid, converse error q ∴ p

Step-by-step explanation:

Let

p = "there are as many rational numbers as there are irrational numbers,"

let

q = "the set of all irrational numbers is infinite."

We can write the above argument as:

If there are as many rational numbers as there are irrational numbers, then the set of all irrational numbers is infinite

p → q

The set of all irrational numbers is infinite

q

There are as many rational numbers as there are irrational numbers

p

So collectively it can be written as:

p → q

 q

∴p

So it looks like

if p then q

q

therefore p

This is a fallacious argument.  This means the conclusion can be false even when the premises are true. This type of argument is invalid.

Suppose we know that “If there are as many rational numbers as there are irrational numbers, then the set of all irrational numbers is infinite” is a true conditional statement. We also know that "the set of all irrational numbers is infinite" is true. This is not enough to say that "there are as many rational numbers as there are irrational numbers," is true. The reason for this is that there is nothing logically about “If p then q” and “q” that means p must follow. So this is a converse error and since converse error is an invalid method of inference rule so this argument is invalid.

Let us prove this argument is invalid with a truth table:

p   q   p → q   q   p

T   T      T       T   T

T   F      F       F   T

F   T      T       T   F

F   F      T       F   F

Since we know that the premises are:

p → q   and  q

and the conclusion is p

and an argument is valid if and only if all of its premises are true, then the conclusion is true. We should check that whenever both p → q   and  q are true then p is true but the third row fails. Thus this is an invalid argument.

Step-by-step explanation:

-km = 1

M = 1

-k

That is the answer

Answer:

it will be c, x=8.5

Step-by-step explanation:

-18+4x=-4x+50

4x+4x=18+50

8x=68

x=8.5

Answer:

<x=60

z= 90

<y = 30

Step-by-step explanation:

<x=60 cause 180-120=60

z= 90 cause it is a right angle

<y = 30 cause 180-150 =30.

Answer:

-3.78

Step-by-step explanation:

The opposite of a positive number will always be negative, and the opposite of a negative number will always be positive.

Answer:

Y=3

Step-by-step explanation:

Bc im right

Answer:

Kindly check explanation

Step-by-step explanation:

Given that:

Number of donuts consumed in a month = y

Age = x

Regression equation obtained :

y=47-1.36x

Meaning of slope of the regression line ;

Comparing the regression equation obtained with the general equation of a linear regression line ;

y = mx + c; where m = slope of the regression line

Hence, the value of slope in the equation is = - 1.36

Thus, the slope can be interpreted as ; The number of donuts consumed in a month is expected to decrease by 1.36 for per(1) increase in age x of consumer.

The slope means that the number of donuts reduces by 1.36 as people get older.

A linear equation is in the form:

y = mx + b;

where y, x are variable, m is the slope of the line and b is the y intercept.

Let y represent the number of donut ate by the customers in a month and x represent their age

Given the regression line:

y = 47 - 1.36x

The slope means that the number of donuts reduces by 1.36 as people get older.

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Answer:

2 with a left over 3/12

Step-by-step explanation:

1/3 translates to 4/12 which can go into 11/12 twice, leaving 3/12 left over.

Answer:

Each term in marks pattern is 10 more than the corresponding term in joes pattern

Step-by-step explanation:

Given

Joe

[tex]Start = 18[/tex]

[tex]Additional = 3[/tex]

Mark

[tex]Start = 28[/tex]

[tex]Additional = 3[/tex]

Required

Determine which option answers the question

From the question, we have that Mark and Joe have the same additional rule of increment.

This implies that, the difference of each term is the same as the difference of the starting number of both:

Since Mark started at a higher number than Joe, the difference can be said to be.

[tex]Difference = Start_{Mark} - Start_{Joe}[/tex]

[tex]Difference = 28 -18[/tex]

[tex]Difference = 10[/tex]

Hence:

Option B answers the question

Answer:

0.4 or 0.40 or 0.400

Step-by-step explanation:

I am not sure what they are asking, but 4/10 is the same as 40%, which is the same as 0.4 or 0.40 or 0.400

Answer:

Set your calculator to Degree mode.

a² = 17² + 20² - 2(20)(17)cos(89°)

a² = 677.13236

a = 26.0 in.

sin(89°)/26.02177 = (sin B)/17

sin B = 17sin(89°)/26.02177

B = 40.8°

C = 50.2°

Answer:

glasses 13 times 2 =26 China 13times4=52 dinnerware 13 times 6= 78 fine China 5100 times 4 pounds =20400 pounds times 13 a pound =265200.

The number which is represented by the expression "five more than a certain number is 4 less than one-half that number" is -2/3

let

the unknown number = x

x + 5 = 4 - 1/2x

x + 1/2x = 4 - 5

1 1/2x = -1

x = -1 ÷ 3/2

= -1 × 2/3

= -2/3

Therefore, the number which is represented by the expression "five more than a certain number is 4 less than one-half that number" is -2/3

Learn more about equation:

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174 is equal to 174 if thats what the last one means

Answer:

174

Step-by-step explanation:

the option c is your answer

[tex]I \: hope \: it's \: help \: you \\ dear[/tex]

i don’t know for sure but i just figured it out....

Answer:

Clara can feed 10 friend

I may be wrong, but I tried :P

Answer:

The cell wall lies outside the plasma membrane. The plant cell wall is mainly composed of cellulose. Cellulose is a complex substance and provides structural strength to plants. Bacteria is not a plant therefore its cell wall is made up of peptidoglycan

Step-by-step explanation:

Hello! If you're seeing this, good luck with your schoolwork and have a nice day!

     - Classmate

¡Hola!

Your answer to the question is 10/12.

Step-by-step explanation:

By using the y^2-y^1/x^2-x^1

12-2= 10

16-4= 12

So your answer is 10/12.

Hope this Helps!

Answer:

a)0.03558

b) 95%

c) 95.6985%

d) 16%

e)15.58%

Step-by-step explanation:

a) Determine the sample standard deviation weight.

Step 1

We find the Mean

Sum of terms/ Number of terms

Number of terms = 50

= 43.73/50

= 0.8746 grams

≈ 0.875 grams

Formula for sample standard deviation = √(x - Mean)²/n - 1

= √0.062042/50 - 1

= √0.001266163265

= 0.03558318796 grams

The empirical rule formula:

1) 68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .

2) 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

3)99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ

b. Use the Empirical Rule to determine the percentage of M&Ms with weights between 0.803 and 0.947 gram. Hint: = 0.875.

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

μ – 2σ

0.875 - 0.03558 × 2

= 0.80384

μ + 2σ

= 0.875 + 0.03558 × 2

= 0.94616

Hence, 95% of M&Ms with weights between 0.803 and 0.947 gram.

c. Determine the actual percentage of M&Ms that weigh between 0.803 and 0.947 gram, inclusive.

The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

For x = 0.803

= 0.803 - 0.875/0.03558

= -2.02361

Probability value from Z-Table:

P(x = 0.803) = 0.021505

For x = 0.947

= 0.947 - 0.875/0.03558

= = 2.02361

Probability value from Z-Table:

P(x = 0.947) = 0.97849

Hence,

P(x = 0.947 ) - P(x = 0.803)

= 0.97849 -0.021505

= 0.956985

Converting to percentage

= 0.956985 × 100

= 95.6985%

d. Use the Empirical Rule to determine the percentage of M&Ms with weights more than 0.911 gram.

68% of data falls within 1 standard deviation from the mean - that means between μ - σ and μ + σ .

=Mean = 0.875

Standard deviation = 0.03558

μ + σ

0.875 + 0.03558

= 0.91058

≈ 0.911

Hence, 68% of M&Ms with weights more than 0.911 gram.

Therefore, percentage of M&Ms with weights more than 0.911 gram, is on the right hand side(one side of the distribution)

=( 100 - 68)%/2

= 32%/2

= 16%

e. Determine the actual percentage of M&Ms that weigh more than 0.911 gram

The formula for calculating a z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.

Mean = 0.875

Standard deviation = 0.03558

x = 0.911

= 0.911 - 0.875/0.03558

= = 1.0118

Probability value from Z-Table:

P(x<0.911) = 0.84418

P(x>0.911) = 1 - P(x<0.911) = 0.15582

Converting to percentage =

0.15582 × 100

= 15.58%

Answer:

The answer is "Option a and Option b".

Step-by-step explanation:

In the given question, the data value is missing which is defined in the attached file, please find it.

We have variance sample =[tex](S^2x, S^2y)[/tex]  and the carariance sample = [tex]Sxy[/tex].  

if "[tex]S^2x = 85.27, S^2y = 175.76, and \ \ Sxy = 116.25[/tex]"  its sample coefficient correlation will be defined as follows:

[tex]\bold{r= \frac{Sxy}{\sqrt{S^2x \times S^2 y}} }\\\\[/tex]

  [tex]= \frac{116.25}{\sqrt{85.23}  \times \sqrt{175.76}} \\\\= \frac{116.25}{ 9.23  \times 13.25}\\\\= \frac{116.25}{122.29}\\\\=0.95[/tex]