Dale is following this recipe to make shortbread fingers. Dale uses 75 g of sugar. How many shortbread fingers does he make? Recipe: Makes 22 fingers 125 g butter 55 g sugar 180 g flour

Answer:

Step-by-step explanation:

Note: When a body is travelling at uniform acceleration, the average velocity is given as  \(Average -velocity= \frac{v+u}{2}\\\\\)

Given

initial velocity u= 3 m/s

final velocity v= 5 m/s

\(Average -velocity= \frac{5+3}{2}\\\\\)

\(Average-velocity= \frac{8}{2}\)

To express this in mixed number we have \(=4\frac{0}{2}\)

The number of oranges that are expected to weigh more than 4 oz is:

1400 - (1400 × 0.0228)≈ 1368.

The mean weight of the oranges growing in an orchard is 8 oz and standard deviation is 2 oz, the distribution of the weight of oranges can be represented as normal distribution.

From the batch of 1400 oranges, the number of oranges is expected to weigh more than 4 oz can be found using the formula for the Z-score of a given data point.

\(z = (x - μ) / σ\)

Wherez is the Z-score of the given data point x is the data point

μ is the mean weight of the oranges

σ is the standard deviation

Now, let's plug in the given values.

\(z = (4 - 8) / 2= -2\)

The area under the standard normal distribution curve to the left of a Z-score of -2 can be found using the standard normal distribution table. It is 0.0228. This means that 0.0228 of the oranges in the batch are expected to weigh less than 4 oz.

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B. The data shows a positive, linear association.

To determine the association between height and weight of the ten boys, we will first observe the data points provided. We can compare the increase or decrease in height with the corresponding increase or decrease in weight to identify a pattern.

Here's a list of height and weight pairs:
(60, 125), (63, 139), (65, 155), (61, 136), (70, 170), (55, 108), (58, 116), (61, 139), (64, 129), (57, 121)

Upon observing these pairs, we can see that as height increases, weight generally increases as well. For example, when height increases from 55 inches to 70 inches, weight increases from 108 pounds to 170 pounds. This pattern can also be seen in other data pairs.

This means that there is a direct relationship between the height and weight of the boys, where taller boys tend to weigh more, and shorter boys tend to weigh less.

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Answer:

It will take Mandy 15 hours to make $180.

Step-by-step explanation:

180/12=15

Answer:

I think it is

24.6

Answer:

Step-by-step explanation:

\(x\times(x+ 28) = 20\times (20+32)\\\\x^2+28x-1040=0\\\\\ x=\dfrac{-28\pm\sqrt{28^2-4\cdot1\cdot(-1040)}}{2\cdot1}= \dfrac{-28\pm\sqrt{4944}}{2}\\\\x\approx21.2\quad or\quad x\approx-49.2\)

x has to be >0 so the answer is 21.2

Step-by-step explanation:

there is the graph

The percentage of respondents who chose Faygo Red Pop is too high to be statistically significant.

The percentage of respondents who chose Faygo Red Pop is 57%. This is a very high percentage, and it is unlikely that this percentage would be representative of the population as a whole. There are a few possible explanations for this:

The poll was conducted online, and it is possible that the respondents were not a representative sample of the population. For example, the poll may have been biased towards people who are already fans of Faygo Red Pop.

The poll was not conducted properly. For example, the poll may have been poorly advertised, or the respondents may have been allowed to vote multiple times.

In order to be statistically significant, the percentage of respondents who chose Faygo Red Pop would need to be much lower. For example, if the percentage of respondents who chose Faygo Red Pop was 10%, then it would be more likely that this percentage was representative of the population as a whole.

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The expected internal rate of return (IRR) for the home investment is 10.96%.

The standard deviation of IRR is 5.45%.

The coefficient of variation is 0.50.

These values indicate the expected return and risk associated with the investment.

The expected IRR of the home investment can be calculated by taking the weighted average of the IRRs based on the probabilities of different outcomes. Given the probabilities and the corresponding cash flows, we can calculate the IRR for each scenario and then take the weighted average.

In this case, we have four scenarios: no vaccine distribution, vaccine distribution to the elderly, vaccine distribution to the elderly and children, and vaccine distribution to everyone. The expected IRR is calculated as follows:

Expected IRR = (Probability of no vaccine * IRR of no vaccine) +

             (Probability of vaccine to elderly * IRR of vaccine to elderly) +

             (Probability of vaccine to elderly and children * IRR of vaccine to elderly and children) +

             (Probability of vaccine to everyone * IRR of vaccine to everyone)

= (0.30 * 0.1096) + (0.50 * 0.1189) + (0.20 * 0.1452) + (0.30 * 0.1096) = 0.0329 + 0.0595 + 0.0290 + 0.0329 = 0.1543 = 15.43%

The standard deviation of IRR measures the variability or risk associated with the investment. It tells us how much the actual returns are likely to deviate from the expected return. In this case, the standard deviation of IRR is 5.45%.

The coefficient of variation (CV) is a measure of risk-adjusted return and provides a relative measure of risk per unit of return. It is calculated by dividing the standard deviation of the investment's returns by the expected return. In this case, the CV is 0.50.

These three answers indicate the expected return, risk, and risk-adjusted return of the investment. The expected IRR of 10.96% indicates the average return the investor can expect from the investment. The standard deviation of 5.45% shows the variability or uncertainty in the returns. A higher standard deviation implies higher risk. The coefficient of variation of 0.50 suggests that for every unit of expected return, there is half a unit of risk. A lower CV indicates better risk-adjusted return.

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Answer:

Step-by-step explanation:

The question is asking how many times does 50 go into 425?

or 450/50 = ?

my calculator says it's 9 .  What does your calculator say?

since we now know it's 9 times,   we can just multiply 9 * 10 minutes

by observation of 9*10,  I get the answer,  what answer do you get?

The given equation y = 3x + 5 has infinitely many solutions.

What is a linear equation in two variables?

If an equation is written in the form ax + by + c=0, where a, b, and c are real numbers and the coefficients of x and y, i.e., a and b, respectively, are not equal to zero, then it is said to be a linear equation in two variables.

Given: Linear equation y = 3x + 5

We know that,

The linear equation in two variables in the form of ax + by + c = 0

For x = 0, y = 0 + 5 = 5. Therefore, (0, 5) is one solution.

For x = 1, y = 3 × 1 + 5 = 8. Therefore, (1, 8) is another solution.

For y = 0, 3x + 5 = 0, x = -5/3. Therefore, (-5/3, 0) is another solution.

Clearly, for different values of x, we get various values for y. Thus, any value substituted for x in the given equation will constitute another solution for the given equation. So, there is no end to the number of different solutions obtained by substituting real values for x in the given linear equation. Therefore, a linear equation in two variables has infinitely many solutions.

Hence, the given equation y = 3x + 5 has infinitely many solutions.

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Jenny bought 11 yards of ribbons.

A stored-value card is a payment card with a monetary value stored on the card itself, not in an external account maintained by a financial institution.

Given that, Jenny got a prepaid debit card with $20 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 13 cents per yard. If after that purchase, there was 18.57 left on the card,

We need to find that how many yards of ribbon did Jenny buy,

The money spend on purchasing = 20-18.57 = $1.43

$1.43 = 143 cents

Therefore, Jenny bought ribbons for 143 cents

Since, the cost of the ribbon was 13 cents per yard, therefore,

The size of ribbon Jenny bought = 143 / 13

= 11 yards

Hence, Jenny bought 11 yards of ribbons.

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Answer:

7:15. It is 7:15 simplified. Students who rode the bus to students who used other types of transportation simplified

Answer:

=−m3n9+a3

Step-by-step explanation:

Let's simplify step-by-step.

a3−m3n9

=a3+−m3n9

The required probability for the given event is given as 0.5.

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lie in the close interval of 0 and 1 [0,1].

Given that,

The probability of a door being locked is 70% = 0.7

Total number of keys is 10.

The number of keys being carried is 2.

Thus, there can be two cases for getting through the door.

Case 1: The door is locked.

The probability to open the door by 1 key is 1/10.

Then, the probability to open the door by 2 keys is 2/10 = 1/5.

Case 2: The door is open.

In this case no keys are needed which means the chance of getting through is the probability of door not being locked which is given as,

1 - 0.7 = 0.3.

Now, the overall probability should consider both the cases as,

P(getting through the door) = P(Door is closed and keys open it)

+ P(The door is open)

= 0.3 + 1/5

= 0.3 + 0.2

= 0.5.

Hence, the probability to get through the door without returning for more keys is 0.5.

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Answer:

Step-by-step explanation:

______________________________

(I've included the graphs below.)

So your answer is c, \(\bold{y+4=-\frac{3}{2}(x-2)}\).

______________________________

hi brainly user! ૮₍ ˃ ⤙ ˂ ₎ა

⊱┈────────────────────────┈⊰

\(\large \bold {ANSWER}\)

\(\large \bold {SOLUTION}\)

The first thing we must do is convert kilometers to meters. We will do this by multiplying by 1,000, since 1 km corresponds to 1,000 meters.

Now that we've done that, let's divide the values by 3,600, because an hour is 60 minutes, and each minute is 60 seconds, so 60*60 is 3,600.

\(\frac{80.0\not0\not0}{3.6\not0\not0}=22.22\)

\(\frac{120.0\not0\not0}{3.6\not0\not0}=33.33\)

Hence, 80 km/h = 22.22 m/s, 120 km/h = 33.33 m/s

Answer:

Step-by-step explanation:

\(▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪\)

Let's evaluate :

to minimize the time it takes to reach the island, the visitor has to run 15 km west of the tent to first get to the closest point of the shoreline to the island before swimming across to the island.

Here we have;

Location of island = 15km west

Location of tent = 2 km south of point on shoreline

Running speed of visitor = 8 km/h

Swimming speed = 1 km/h

Distance of island from tent = \(\sqrt{15^2 +2^2}\) = 15.13

Since, time = distance/speed, it will take 15.13/1 hours or 15.13 hours to swim directly to the island.

However if the visitor first runs to the closest point on the shoreline to the island, then swims across to the island, it will take;

15/8 Hr + 2/1 hr = 31/8 hours or 3.875 hours only.

Therefore, to minimize the time it takes to reach the island, the visitor has to run 15 km west of the tent to first get to the closest point of the shoreline to the island before swimming across to the island.

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Answer:

19 miles

Step-by-step explanation:

hope this helps!!

We can group the minterms to obtain the minimum sum of products (SOP):

F(A,B,C,D) = A'B' + CD' + ABC + A'B'CD' + ABCD

Expansion of the function f(A,B,C,D):

f(A,B,C,D) = (A+B+D')(A'C)(C+D)

= A'A'C + A'CC' + BA'C + BC + D'A'C + D'CC' + BD'(A'C) + BD'(C+D)

= 0 + 0 + BA'C + BC + 0 + 0 + BD'A'C + BD'C + BD'D

= BA'C + BC + BD'A'C + BD'C + BD'D

Minterms SOP for the function with K-map 5.16:

The truth table for the given function is:

A B C F

0 0 0 0

0 0 1 1

0 1 0 1

0 1 1 0

1 0 0 1

1 0 1 0

1 1 0 0

1 1 1 1

The K-map for this function is:

BC

A 00 01 11 10

0 |  0  1  0  1

1 |  1  0  0  1

We can group the minterms to obtain the minimum sum of products (SOP):

F(A,B,C) = A'B' + A'C + BC

Karnaugh map and minimum sum of products for the function F(A,B,C,D)=A'B'+CD'+ABC+A'B'CD'+ABCD:

The truth table for the given function is:

A B C D F

0 0 0 0 0

0 0 0 1 1

0 0 1 0 0

0 0 1 1 0

0 1 0 0 1

0 1 0 1 0

0 1 1 0 1

0 1 1 1 1

1 0 0 0 0

1 0 0 1 0

1 0 1 0 0

1 0 1 1 0

1 1 0 0 1

1 1 0 1 1

1 1 1 0 1

1 1 1 1 1

The K-map for this function is:

   CD

AB 00 01 11 10

00 |   0  1  0  0

01 |   1  0  0  1

11 |   1  1  1  1

10 |   0  0  1  0

We can group the minterms to obtain the minimum sum of products (SOP):

F(A,B,C,D) = A'B' + CD' + ABC + A'B'CD' + ABCD

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Type of Attention Impact on Encoding Process

1. Sustained attention Facilitates thorough encoding of information.

2. Selective attention Enhances encoding of attended stimuli while filtering out irrelevant information.

3. Divided attention Impairs encoding by dividing attentional resources among multiple tasks.

4. Exogenous attention Captures attention involuntarily, potentially interrupting the encoding process.

5. Endogenous attention Voluntarily directed attention that can prioritize specific information for encoding.

1. Sustained attention: Sustained attention refers to the ability to maintain focus over an extended period. It has a positive impact on the encoding process as it allows for thorough and comprehensive encoding of information.

2. Selective attention: Selective attention involves focusing on specific stimuli while filtering out irrelevant information. It enhances the encoding process by directing attention to the relevant stimuli, promoting their effective encoding.

3. Divided attention: Divided attention refers to the attempt to allocate attention to multiple tasks simultaneously. Dividing attention among multiple tasks impairs the encoding process as attentional resources become fragmented, leading to less effective encoding of information.

4. Exogenous attention: Exogenous attention is captured involuntarily by external stimuli, potentially interrupting the encoding process. It can divert attention away from the intended encoding task, resulting in a negative impact on encoding.

5. Endogenous attention: Endogenous attention is voluntarily directed attention that allows individuals to prioritize specific information for encoding. It enhances the encoding process by selectively focusing on relevant stimuli and allocating cognitive resources accordingly.

Different types of attention have varying impacts on the encoding process. Sustained attention and selective attention positively influence encoding, while divided attention and exogenous attention have negative effects. Endogenous attention, on the other hand, can enhance encoding by prioritizing specific information.

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Answer:

no, you're just simplifying the fraction.

Step-by-step explanation:

4/6=2/3

Answer:

123

Step-by-step explanation:

hope this helps

Answer:

option.d 123°

DETAILED EXPLANATION:

angle JIK+ angle IJ L= 1 80 ( By CO Interior angle )

57° + angle IJL= 180°

angle IJ L = 1 80°-57°

angle IJL=123°

Answer:

\(\large \boxed{\mathrm{C }}\)

Step-by-step explanation:

The ray CF does not contain the ray CB.

The number line, does not contain CB is CF. Therefore, option C is the correct answer.

A line segment is a path between two points that can be measured. Since line segments have a defined length, they can form the sides of any polygon.

In the given number, there are six divisions A, B, C, D, E, F.

Ray CB is in the line segment AD, AE, FA, BE, BF.

The number line, does not contain CB is CF. Therefore, option C is the correct answer.

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The radius of a circle circumscribed about a regular hexagon with a side length of 30 units is approximately 51.96 units.


To find the radius of a circle circumscribed about a regular hexagon, we can draw radii from the center of the circle to each vertex of the hexagon. This creates six congruent triangles, each with a central angle of 60 degrees.

Using trigonometry, we can calculate the length of the radius. The formula is r = a / (2 * sin(π/6)), where “r” is the radius and “a” is the side length of the hexagon. Plugging in the given side length of 30 units, we have r = 30 / (2 * sin(π/6)) ≈ 51.96 units. Therefore, the radius of the circle circumscribed about the regular hexagon is approximately 51.96 units.

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The cost of 10 strands of lights operating them for 30 days depends on a number of factors such as the type of lights, the wattage of the bulbs, and the cost of electricity per kilowatt-hour. To calculate the cost of electricity.

the formula is used:

Cost = Power × Time × Cost per kWh

Where,
Power is the wattage of the bulb
Time is the duration of use in hours
Cost per kWh is the cost of electricity per kilowatt-hour

Assuming that each strand of light has 100 bulbs, and each bulb has a wattage of 0.5 watts, then the total wattage of 10 strands of lights would be:

Total wattage = 100 bulbs × 0.5 watts/bulb × 10 strands
= 500 watts

Now, assuming that the cost of electricity per kilowatt-hour is $0.15, the cost of operating 10 strands of lights for 30 days would be:

Cost = Power × Time × Cost per kWh
= 500 watts × (30 days × 24 hours/day) × $0.15/kWh
= 500 watts × 720 hours × $0.15/kWh
= $54

Therefore, the total cost of operating 10 strands of lights for 30 days would be $54.

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The time complexity is O(1) as the recurrence reduces to a constant.

T(n) = 2T(n/2) + n/log n

T(1) = 1

T(2) = 2T(1) + 2/log 2

= 2 + 2/log 2

T(4) = 2T(2) + 4/log 4

= 2(2 + 2/log 2) + 4/log 4

T(8) = 2T(4) + 8/log 8

= 2(2(2 + 2/log 2) + 4/log 4) + 8/log 8

T(n) = 2^k T(1) + (2^k + 2^(k-1) + ... + 2 + 1)*n/log n

= 2^k + (2^k + 2^(k-1) + ... + 2 + 1)*n/log n

= 2^k + n*Σ_(i=1)^k▒2^i/log n

= 2^k + n/log n*(2^(k+1) - 1)

= 2^k + n/log n*(n/2 - 1)

= (2^k + n/2 - n/log n)*n/log n

= (2n - n/log n)*(log n/n)

= 2 - 1/log n

The time complexity is O(1) as the recurrence reduces to a constant.

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Answer:

(-4, -1)

Step-by-step explanation:

"A translation by 2 units to the left and 5 units down" would be: \((x,y)\rightarrow(x-2,y-5)\)

Apply the rule to point P:

\((-2,4)\rightarrow(-2-2,4-5)\rightarrow\boxed{(-4,-1)}\)

P' should be be (-4, -1).

Hope this helps.

The required points after the translation of  P (-2, 4) under a translation by 2 units to the left and 5 units down is P'(-4, -1).

Point P' is the image of P (-2, 4) under a translation by 2 units to the left and 5 units down. What are the coordinates of P' is to be determined.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
P (-2, 4)
under a translation by 2 units to the left and 5 units down.
P becomes P'
Coordinate of the P' = (-2 - 2 , 4 - 5)
                                  = (-4, -1)

Thus, the required points after the translation of  P (-2, 4) under a translation by 2 units to the left and 5 units down is P'(-4, -1).

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The question is incomplete. Here is the complete question.

Raoul measured the ehight of 12 different plants in his garden in April. He measured them again in June.

April Heights (in inches) 12 15 23 11 42 45 44 39 12 19 20 12

June Heights (in inches) 45 45 40 43 11 14 12 13 41 40 45 41

What is the difference between the mean height in April and the mean height in June?

Answer: The difference between means is 8.0

Step-by-step explanation: Mean is the average of a set of numbers.

It is calculated as:

\(\mu=\frac{\Sigma x}{n}\)

where

x is the numbers in the set

n is how many numbers are there in the set

For heights in April, the mean is:

\(\mu_{1}=\frac{12+15+23+11+42+45+44+39+12+19+20+12}{12}\)

μ₁ = 24.5

For heights in June, the mean os:

\(\mu_{2}=\frac{45+45+40+43+11+14+12+13+41+40+45+41}{12}\)

μ₂ = 32.5

The difference between means:

μ₂ - μ₁ = 32.5 - 24.5 = 8.0

The difference between the mean height in April and in June is 8.0 inches.