Thomas records the masses of several rocks as 7.40 g, 7.85 g, 7.60 g, and 7.40 g. what is the mode of thomas’s data set? 0.45 7.40 7.55 7.60

Answer:

Step-by-step explanation:

Given:

Let's first try to simplify ∠CAB in ΔABC. Then we can find the 'x' in ΔFDE with the help of ΔABC.

ΔABC = 108 + 48 + ∠CAB = 180°

=> 156 + ∠CAB = 180°

=> ∠CAB = 24°

=> 48 + 108 + 2x - 48 = 180°

=> 108 + 2x = 180°

=> 2x = 72°

=> x = 36°

So, after working on this problem, we can conclude that 'x = 36°' and 'y = 48°'. Hoped this helped.

Answer: x=36, y=48

Step-by-step explanation:

The sum of the angles in a triangle is 180.  From triangle ABC we see that:

108 + 48 + Z = 180, where Z is the unknown third angle.

156  + Z = 180

Z= 24 (angle CAB).

Since the triangles are similar, we can say angle EDF(y) is equal to angle CAB (48).  Thus,

y = 48

we can also say that angle CAB is the same as angle DFE:

24 = (2x-y)  

24=2x-48

72=2x

x=36

Answer:

If the beekeeper takes so much honey off, the bees can face malnutrition during times of starvation or wintering in colder climates. Depending on how the beekeeper extracts honey from the hive, the bees will be irritated and face a lot of maintenance work after the frames have been removed and replaced.

Step-by-step explanation:

Answer:

IF the beekeeper takes too much honey off, the bees may face starvation during periods of dearth or wintering in colder climates.

Step-by-step explanation:

Answer:

yo no se pero ahorita yo te ayudo

Answer:

Area = 14.5

Step-by-step explanation:

Let's label the given coordinates A, B, C;

Thus;

A = (2, 3)

B = (-1, 0)

C = (2, -4)

From the coordinate geometry formula, the formula for area of a triangle with 3 vertices is;

Area = [Ax(By - Cy) + Bx(Cy - Ay) + Cx(Ay - By)]/2

Area = [2(0 - (-4)) + (-1)(-4 - 3) + 2(3 - (-4))]/2

Area = 29/2

Area = 14.5

Area = l ×b

\(a = l \times b \\ a = 11 \times 9 \\ a = 99\)

Answer:

No, the reasoning is not correct.

Step-by-step explanation:

39.99 x .14 = 5.5986  Does it make sense that the sales price plus the tax would be $5.60?  Doesn't that seem really low?

39.99 x .3  = 11.997 is the amount that we are taking off of the original price.

39.99 - 12 (Rounded to the nearest cent) is 27.99.

Now we pay the tax on the discounted amount of the item.  

27.99 x .16 = 4.4784 or 4.48 rounded to the nearest cent.

The out the door cost of the item

is 27.99 + 4.48 = 32.48

If the null hypothesis is rejected, and the proportion of customers willing to pay more is significantly different from 10%, this would support my hypothesis that customers are willing to pay more for eco-friendly packaging.

Let's say you work for a company that has been using a certain type of packaging material for their products. However, there have been concerns raised about the environmental impact of this material, and the company is considering switching to a more eco-friendly option. You believe that customers would be willing to pay more for products that are packaged with the eco-friendly material, but you need to test this hypothesis.

Variable: The variable that would be tested is whether customers are willing to pay more for products that are packaged with the eco-friendly material.

Guess of value: I would guess that customers would be willing to pay more for eco-friendly packaging, but I'm not sure how much more. Let's say my guess is that customers would be willing to pay 10% more for products packaged with the eco-friendly material.

Hypothesis test: To test this hypothesis, I would conduct a survey where I randomly select a sample of customers and ask them if they would be willing to pay more for products packaged with the eco-friendly material. I would then compare the proportion of customers who are willing to pay more to my guess of the value (10%).

Null hypothesis: The null hypothesis would be that the proportion of customers willing to pay more for eco-friendly packaging is not significantly different from 10%.

Alternative hypothesis: The alternative hypothesis would be that the proportion of customers willing to pay more for eco-friendly packaging is significantly different from 10%.

 If the null hypothesis is not rejected, this would suggest that customers are not willing to pay more for eco-friendly packaging, and the company may need to reconsider their decision to switch to the more expensive material.

To learn more about proportion visit:

brainly.com/question/30657439

#SPJ11

We can simplify the fraction by dividing both numbers by 4 (or by 2 two times), we will get the equivalent fraction 19/18

Here we have a quotient (or we can also call it a fraction) which is:

76/72

To simplify any fraction, what you need to do is divide both numerator and denominator by the same number.

For example, if we use 2, we will get:

76/2 = 38

72/2 = 36

then we have the equivalent fraction.

38/36

But we can keep simplifying this, divide by 2 again:

38/2 = 19

36/2 = 18

We get:

19/18

We can't simplify this anymore because 19 is prime.

Learn more about fractions at:

https://brainly.com/question/11562149

#SPJ1

Answer:

C is at -2

Step-by-step explanation:

distance from A to B is 10

10 × 3/5 = 6

add 6 to -8 to get -2

Answer:

The weight, in pounds, of one bag of beans.

Step-by-step explanation:

Since we know that there are 15 bags of beans, we can eliminate the first option and anything about something other than th e beans. Also, we know that we are not given the information on how heavy the bag of beans are, so with process of elimination, the 3rd one is the answer.

I hope this helped!

It would be greatly appreciated if you marked this answer as brainliest!

The probability of having, at most, 9 girls, is 0.9515

The probability that a random baby is a girl is:

p = 0.5

And the probability that a random baby is a boy is:

q = 0.5

Then the probability that, at most, 9 out of 11 babys are girls, is given by:

1 - p(10) - p(11)

Where P(10) is the probability that 10 of the babies are girls and p(11) is the probability that the 11 babies are girls.

p(10) = C(11, 10)*(0.5)^10*(0.5)^1 = C(11, 9)*(0.5)^11

Where C(11, 10) is the combinations of 10 elements that we can make with a set of 11 elements, such that:

C(11, 10)=  11!/(11 - 10)!*10! = 11

Replacing that, we get:

P = 11*(0.5)^11 = 0.0054

p(11) = C(11, 11)*0.5^11 = 1*0.5^11 = 0.0005

Then the probability is:

P = 1 - 0.0054 - 0.0005 = 0.9515

The probability of having, at most, 9 girls, is 0.9515

If you want to learn more about probability:

https://brainly.com/question/25870256

#SPJ1

Answer: option A

(A)  y= -5/8 x + 6      <========+ 100%

Step-by-step explanation:

Which equation represents the line that passes through and left-parenthesis 4, StartFraction 7 Over 2 right-parenthesis.?  

y equals negative StartFraction 5 Over 8 EndFraction x plus 6.

y equals negative StartFraction 5 Over 8 EndFraction x plus 16.

y equals negative StartFraction 15 Over 8 EndFraction x plus minus 49.

y equals negative StartFraction 15 Over 2 EndFraction x plus 71.

The line that passes through and left-parenthesis 4, StartFraction 7 Over 2 right-parenthesis  is y equals negative StartFraction 5 Over 8 EndFraction x plus 6.

An equation is written as two expressions, connected by an equals sign ("="). The expressions on the two sides of the equals sign are called the "left-hand side" and "right-hand side" of the equation.

According to question

Equation represents the line that passes through and left-parenthesis 4, StartFraction 7 Over 2 right-parenthesis means :

We want a line that passes through the point (4, 7/2)

We know that a line can be written as:

y = a*x + b.

Now we want that, when x = 4, we must have y = 7/2.

7/2 = a*4 + b

b = -a*4 + 7/2

Then we can write this line as:

y = a*x - a*4 + 7/2.

Where a can take any value, and it is the slope of our line.

Now according to option we will check which will satisfy the condition

y equals negative StartFraction 5 Over 8 EndFraction x plus 6.

y=-5/8x + 6

putting x value x = 4

y=(-5/8)*4 + 6

y = -5/2 + 6

y= 7/2 which satisfy our condition

Hence, y equals negative StartFraction 5 Over 8 EndFraction x plus 6.

Is the one which satisfy our condition .

To know more about equation representation here :

https://brainly.com/question/12934362

# SPJ2

Alejandro stated -4/3 instead of -3/4 as the slope of the perpendicular line in step 2, therefore, his first error is in step 2.

For any two given perpendicular lines, they must have slope (m) values that are negative reciprocals of each other. The equation of any line can be written in slope-intercept form as, y = mx + b, where m is the slope of the line.

Given the equation, 4x - 3y = -8, rewrite in slope-intercept form:

-3y = -4x - 8

-3y/-3 = -4x/-3 - 8/-3

y = 4/3x + 8/3

This means that the line has a slope of 4/3. Thus, the slope of the line that is perpendicular to the given line would be the negative reciprocal of 4/3, which is: -3/4.

Thus, we can see that Alejandro stated -4/3 instead of -3/4 as the slope of the perpendicular line in step 2, therefore, his first error is in step 2.

Learn more about slope pf perpendicular lines on:

https://brainly.com/question/1362601

#SPJ1

Answer:

AB= A. (50)^1/2

BC= B. (65)^1/2

AC= D. (145)^1/2

<ABC≈ 105

Answer:

56 marbles in total

Step-by-step explanation:

32 blue marbles + 24 green marbles

yes what the person above me said

Answer:

Step-by-step explanation:

Hyhh

Answer:

\(Lets\ consider\ the\ divisor\ (n-\frac{1}{2})\ as\ g(x) \\In\ order\ to\ perform\ synthetic\ division\ we\ need\ to\ find\ the\ zero\ of\ the\ divisor\ . \\Hence,\\g(x)=0\\n-\frac{1}{2}=0\\n= \frac{1}{2}\\\)

\(Now\ we\ must\ write\ the\ dividend\ in\ its\ standard\ form\ and\ seperate\ out\ its\ coeffeicient.\)\(So,\\\\The\ Coefficients\ will\ be\ in\ this\ order\ : 6,-57,+19,-14\)

                                                                               \(\frac{1}{2}\)  | 6     -57    19    -14                                          

                                                                            +   |           3    -27    -4                                                                                            

                                                                                Q =  [6     -54     -8]   |-18 =R              

\(Hence,\\The\ acquired\ quotient\ is\ 6n^2-54n-8\)

Hence,

As the divisor is rational,  

The quotient would be multiplied by the zero(1/2).

\(Hence,\\the\ final\ quotient\ = 3n^2-27n-4\)

\(Remainder =-9\)

Answer:

27

Step-by-step explanation:

9x3 is 27. Coefficient is the number in the term.

The value of the function f(-3) in f(x) = -2x² + 3x - 6 is -33

from the question, we have the following parameters that can be used in our computation:

f(x) = -2x² + 3x - 6

To find the value of f(-3). we set x = -3

Using the above as a guide, we have the following equation

f(-3) = -2(-3)² + 3(-3) - 6

Evaluate the expression

f(-3) = -33

Hence, the solution is f(-3) = -33

Read more about function at

https://brainly.com/question/28277110

#SPJ1

Answer:

30 degree c

Step-by-step explanation:

answer:

(-4, -2)

thats all lol

The median and quartiles fall in the middle age classes.

The median is the middle value in a set of data, meaning that half of the data falls below the median and half falls above it. The quartiles divide the data into four equal parts, with the first quartile (Q1) being the 25th percentile, the second quartile (Q2) being the median or 50th percentile, and the third quartile (Q3) being the 75th percentile.

In terms of age classes, the median and quartiles would fall in the middle age classes. For example, if the age classes were 0-10, 11-20, 21-30, 31-40, 41-50, 51-60, 61-70, 71-80, and 81-90, the median and quartiles would fall in the 21-30, 31-40, and 41-50 age classes.

It is important to note that the specific age classes that the median and quartiles fall in will depend on the distribution of the data. However, they will always fall in the middle age classes, as they represent the middle values of the data set.

Know more about median here:

https://brainly.com/question/26151333

#SPJ11

Answer: 5.46 packets of sod

Step-by-step explanation:

First you need to find the area of the feild, which is 273, and then divide 273 ÷ 50 and then you will get your answer

The probability of winning $1000 a day for life is approximately 5.245 x 10^-11 and the probability of winning $1000 a week for life is approximately 1.07 x 10^-8. The probability of winning the jackpot ($1000 a day for life) is 1/(60^5 * 4), while the probability of winning $1000 a week for life is 1/(60^5).

In the Florida Lottery Cash4Life game, a player must select five numbers from 1 to 60 and then one Cash Ball number from 1 to 4. The jackpot prize is $1000 a day for life if all five numbers and the Cash Ball match the winning numbers drawn on Monday nights. If just all five numbers match the winning numbers, the player will win $1000 a week for life.
To determine the probability of winning $1000 a day for life, we can use the formula for the probability of independent events: P(A and B) = P(A) x P(B)

(a) To win the jackpot of $1000 a day for life, the player needs to match all five numbers and the Cash Ball. There are 60 options for each of the five numbers and 4 options for the Cash Ball. The total number of possible outcomes is 60^5 (60 choices for each of the five numbers) times 4 (for the Cash Ball). So the probability of winning the jackpot is 1/(60^5 * 4). (b) To win $1000 a week for life, the player needs to match only the five numbers, without considering the Cash Ball. The total number of possible outcomes for this scenario is 60^5. Therefore, the probability of winning $1000 a week for life is 1/(60^5).

To know more about probability visit:-

https://brainly.com/question/32201909

#SPJ11

The probability that one marble is red and the other is white when two marbles are selected from the bag is 3/7

To find the probability that one marble is red and the other is white when two marbles are selected from a bag containing 6 red and 2 white marbles, you can use the following formula:

P(Red and White) = P(Red first) * P(White second) + P(White first) * P(Red second)

In this case:

P(Red first) = 6/8 (since there are 6 red marbles and a total of 8 marbles)
P(White second) = 2/7 (after removing one red marble, there are 2 white marbles and a total of 7 marbles left)

P(White first) = 2/8 (since there are 2 white marbles and a total of 8 marbles)
P(Red second) = 6/7 (after removing one white marble, there are 6 red marbles and a total of 7 marbles left)

Now, substitute these values into the formula:

P(Red and White) = (6/8) * (2/7) + (2/8) * (6/7) = (12/56) + (12/56) = 24/56

Simplify the fraction:

P(Red and White) = 3/7

So, the probability that one marble is red and the other is white when two marbles are selected from the bag is 3/7.

Learn more about "probability": https://brainly.com/question/13604758

#SPJ11

Answer:

∠FQD is 146°

Step-by-step explanation:

Because ∠P is on the same line as angle ∠Q, they are both corresponding angles meaning that they are equal so:

2x = 5x  - 51

Add 51 to both sides of the equation:

2x + 51 = 5x - 51 + 51

2x + 51 = 5x

Subtract 2x from both sides:

2x - 2x + 51 = 5x - 2x

51 = 3x

Divide both sides by 3:

\(\frac{3x}{3} = \frac{51}{3}\)

x = 17

Now we can calculate ∠FQE by substituting the known x into the equation:

5x-51

5(17) - 51 = 34

Now subtract this from 180 as all angles must add up to 180 on a straight line:

180 - 34 = 146

That means ∠FQD is 146°

Hope this helps!

Based on unit conversions, the total cost for Walter to buy the wax for 75 candles is $29.25.

The total cost of the wax can be determined by unit conversions, using multiplication.

Unit conversion involve expressing a measurement from one measurement unit to another using multiplication or division.

The cost of wax per ounce = $0.15

The weight of the wax per cubic inch = 0.26 ounces

The volume of each candle = 10 in³

The number of candles required = 75

The total volume of the 75 candles = 750 in³ (10 x 75)

The total weight of the wax = 195 ounces (750 x 0.26)

The total cost of the required wax = $29.25 ($0.15 x 195)

Thus, 75 candles will cost Walter $29.25 in wax.

Learn more about unit conversions at https://brainly.com/question/174910.

#SPJ4

Walter goes to a hobby store to buy the wax for his candles. The wax costs $0.15 per ounce. If the weight of the wax is 0.26 ounce per cubic inch and each candle measures 10 cubic inches, how much will it cost Walter to buy the wax for 75 candles?

Hey there mate :)

As per question,

Given that Nicole made:-

\(5 {x}^{3} - 13x^{2} - 20x + 800\)

And she packed:-

\((x - 5)\)

1. The number of boxes can be obtained as the quotient when 5x^3-13x^2-20x+800 divided by x-5.

(The division part is attached as image. Check it)

Thus the number of boxes is 5x^2+12x+40

2) The number of cupcakes left unpacked is equal to the remainder when 5x^3-13x^2-20x+800 divided by x-5.

Thus, the number of cakes left and unpacked is 1000

Answer:

I think it is but not 100% sure

Step-by-step explanation: