a recipe has three parts and it calls for 19 oz of flour for the first part, 2 oz for the second part and 25 oz for the third part. how many pounds of flour is needed for this recipe?

Accοrding tο the given infοrmatiοn, Mοira will need tο pay $432 fοr the tiles tο cοver her entire kitchen flοοr.

The area οf a rectangle is the amοunt οf space enclοsed within the bοundary οf a rectangle. It is calculated by multiplying the length οf the rectangle by its width. If we denοte the length οf the rectangle by 'l' and its width by 'w', then the area οf the rectangle can be expressed as:

Area = length x width = l x w

Tο find οut hοw many tiles Mοira needs, we first need tο find the tοtal area οf her kitchen flοοr. We can dο this by multiplying the length and width οf the kitchen:

Area οf kitchen flοοr = length x width = 12' x 18' = 216 square feet.

Next, we need tο figure οut hοw many tiles will cοver this area. Tο dο this, we need tο divide the area οf the kitchen flοοr by the area οf each tile:

Area οf each tile = 1/2' x 3/4' = 3/8 square feet

Number οf tiles = (Area οf kitchen flοοr) / (Area οf each tile) = 216 / (3/8) = 576 tiles.

Finally, we can calculate the tοtal cοst οf the tiles by multiplying the number οf tiles by the cοst per tile:

Tοtal cοst οf tiles = (Number οf tiles) x (Cοst per tile) = 576 x $0.75 = $432.

Sο, Mοira will need tο pay $432 fοr the tiles tο cοver her entire kitchen

floor.

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Answer:

Step-by-step explanation:

You want the area of the figure composed of a triangle and a semicircle.

The area of the triangle is ...

  A = 1/2bh

  A = 1/2(8 in)(6 in) = 24 in²

The area of the semicircle is ...

  A = 1/2πr²

The radius is half the diameter, so this is ...

  A = 1/2(3.14)(3 in)² = 14.13 in²

The area of the figure is the sum of the areas of the triangle and semicircle:

  Figure = triangle + semicircle

  Figure = 24 in² +14.13 in² = 38.13 in²

The area of the figure is about 38.13 square inches.

__

Additional comment

Using the "pi button" for π, we get about 38.1372 square inches for the total area.

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Inequality stating that there are 8000 sq. m. of land available: Let B be the number of units of house B and C be the number of units of house C.

Therefore,B+C ≤ 8000/200 [Reason: House C requires 200 sq. m. of land]⇒B+C ≤ 40b. Inequality that the engineer has at most 6400 man-hour available for construction:

160B + 256C ≤ 6400c

Inequality stating that the engineer has at least 12 million pesos to spend for materials:

600B + 800C ≤ 12000d

. Let us write down a table to calculate the cost, income and profit as follows:Units of house BLabor Hours per unit of house BUnits of house CLabor Hours per unit of house CTotal Labor HoursMaterial Cost per unit of house BMaterial Cost per unit of house CTotal Material CostIncome per unit of house BIncome per unit of house C

Total IncomeTotal ProfitBC=8000/200-B160CB+256C600000800000+256C12,000,0003,500,0004,000,0003,500,000B+C ≤ 40 160B + 256C ≤ 6400 600B + 800C ≤ 12000 Units of house B requires 160 man-hour and a unit of house C requires 256 man-hour.

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The width of bolts of fabric is normally distributed with mean 952 mm and standard deviation 10 mm. We need to find the probability that a randomly chosen bolt has a width between 944 and 959 mm.

Using z-score formula, we have;

z = (x - μ)/σ

where x is the given value, μ is the mean, and σ is the standard deviation.Now substituting the given values, we get;

z1 = (944 - 952)/10 = -0.8z2 = (959 - 952)/10 = 0.7

Using a standard normal table or calculator, we can find the probability associated with each z-score as follows:

For z1, P(z < -0.8) = 0.2119

For z2, P(z < 0.7) = 0.7580

Now, the probability that a randomly chosen bolt has a width between 944 and 959 mm can be calculated as;

P(944 < x < 959) = P(-0.8 < z < 0.7) = P(z < 0.7) - P(z < -0.8) = 0.7580 - 0.2119 = 0.5461:

The probability that a randomly chosen bolt has a width between 944 and 959 mm is 0.5461.

The probability that a randomly chosen bolt has a width between 944 and 959 mm was solved using the formula for z-score and standard normal distribution, where the probability associated with each z-score was found using a standard normal table or calculator. we are supposed to find the appropriate value for C such that a randomly chosen bolt has a width less than C with probability 0.8438.

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Yes, The relation represent a function.

What is Function?

A relation between a set of inputs having one output each is called a function.

Given that;

The points are,

{ (- 12, - 21) , (- 21, - 22) , (22, - 12) , (21, 22) , (17, -22) } ​

Now,

Since, The points are,

{ (- 12, - 21) , (- 21, - 22) , (22, - 12) , (21, 22) , (17, -22) } ​

Clearly, All inputs having exactly one output.

Thus, The relation represent a function.

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If I discovered two numerical values that were twice as big as the next highest value, I would expunge them because they can affect the final results.

A numerical data is also referred to as a quantitative data and it can be defined as a data set that is primarily expressed in numbers only.

This ultimately implies that, a numerical data is a data set consisting of numbers rather than words.

An outlier can be defined as a numerical value that is either unusually too small or large (big) in comparison with the overall pattern of the numerical values contained in a data set.

Assuming I am counting the number of expert tutors on Brainly and I discovered two numerical values that were twice as big as the next highest value, I would expunge them because they can affect the final results.

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Answer:

I think it is 1/2 because it goes up 1 over 2

Answer:

Step-by-step explanation:

The order of letters in "figure's name" is important

NEPK ≅ VXSR

A). KN (4th and 1st) ≅ RV (4th and 1st)

NEPK ≅ VXSR

G). NE (1st and 2nd) ≅ VX (1st and 2nd)

NEPK ≅ VXSR

D). PK (3rd and 4th) ≅ SR (3rd and 4th)

NEPK ≅ VXSR

F). EP (2nd and 3rd) ≅ XS (2nd and 3rd)

The area of the shaded region is given by\(\( A = \frac{(-1)^n}{4} \)\), where n represents the number of intersections with the x-axis.

To solve the integral and find the area of the shaded region, we'll evaluate the definite integral of \(\( \frac{1}{2} \sin 2\theta \)\) with respect to \(\( \theta \)\) over the given limits of integration.

The integral is:

\(\[ A = \frac{1}{2} \int_{\theta_1}^{\theta_2} \sin 2\theta \, d\theta \]\)

where \(\( \theta_1 = \frac{(2n-1)\pi}{4} \) and \( \theta_2 = \frac{(2n+1)\pi}{4} \)\) for integers n.

Using the double angle identity for sine \((\( \sin 2\theta = 2\sin\theta\cos\theta \))\), we can rewrite the integral as:

\(\[ A = \frac{1}{2} \int_{\theta_1}^{\theta_2} 2\sin\theta\cos\theta \, d\theta \]\)

Now we can proceed to solve the integral:

\(\[ A = \int_{\theta_1}^{\theta_2} \sin\theta\cos\theta \, d\theta \]\)

To simplify further, we'll use the trigonometric identity for the product of sines:

\(\[ \sin\theta\cos\theta = \frac{1}{2}\sin(2\theta) \]\)

Substituting this into the integral, we get:

\(\[ A = \frac{1}{2} \int_{\theta_1}^{\theta_2} \frac{1}{2}\sin(2\theta) \, d\theta \]\)

Simplifying the integral, we have:

\(\[ A = \frac{1}{4} \int_{\theta_1}^{\theta_2} \sin(2\theta) \, d\theta \]\)

Now we can integrate:

\(\[ A = \frac{1}{4} \left[-\frac{1}{2}\cos(2\theta)\right]_{\theta_1}^{\theta_2} \]\)

Evaluating the definite integral, we have:

\(\[ A = \frac{1}{4} \left(-\frac{1}{2}\cos(2\theta_2) + \frac{1}{2}\cos(2\theta_1)\right) \]\)

Plugging in the values of \(\( \theta_1 = \frac{(2n-1)\pi}{4} \) and \( \theta_2 = \frac{(2n+1)\pi}{4} \)\), we get:

\(\[ A = \frac{1}{4} \left(-\frac{1}{2}\cos\left(\frac{(2n+1)\pi}{2}\right) + \frac{1}{2}\cos\left(\frac{(2n-1)\pi}{2}\right)\right) \]\)

Simplifying further, we have:

\(\[ A = \frac{1}{4} \left(-\frac{1}{2}(-1)^{n+1} + \frac{1}{2}(-1)^n\right) \]\)

Finally, simplifying the expression, we get the area of the shaded region as:

\(\[ A = \frac{(-1)^n}{4} \]\)

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When given the average number of surface defects per panel as 0.8, Poisson distribution should be used to find the probability of 2 defects on a randomly selected panel. So, the correct answer is A.

Poisson distribution is a statistical probability that indicates how many times an event is likely to occur in a specified time period. The distribution gives an estimate of how rare or common an event is likely to occur in a specified time period. This distribution is commonly used in business, engineering, and finance.

The Poisson distribution is also useful in situations where the number of events is rare but the frequency of occurrences is high.

The formula for the Poisson distribution is:

P(X=x)= (e^−λλ^x)/x!

Where:

λ = the mean number of events (λ > 0)

x = the number of events that occurred in a specific time period

x! = x factorial.

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Answer:

8 Hours

Step-by-step explanation:

We know she travels 220 miles in 5 hours, so lets create an equation with a ratio which finds the miles she drives in a single hour, multiply that by x, and then set it equal to 352.

\(\frac{220}{5}x=352\)

Multiply both sides by 5

\(220x=1760\)

Divide both sides by 220

\(x=8\)

Therefore it would take 8 hours.

8 Hours long would it take to travel 352 miles,

The distance that an object travels in relation to the amount of time it takes to do so can be used to define speed. In other words, it is a measurement of an object's motion's speed without direction Velocities are what we get when speed and direction are combined. The SI unit system is most frequently used to express speed units. In that system, since distance is measured in metres and time is measured in seconds, speed is expressed in metres per second, or m/s. Three components make up the speed formula: distance, time, and speed.

We know she travels 220 miles in 5 hours, so lets create an equation with a ratio which finds the miles she drives in a single hour, multiply that by x, and then set it equal to 352.

Multiply both sides by 5

Divide both sides by 220

Hence, it would take 8 hours.

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Answer:

20 n + 5

Step-by-step explanation:

15 n + 5n + 5

15n + 5n = 20n

(20n + 5)

The probability is approximately 0.000183, or about 0.0183%. It's a very low probability, highlighting the challenge of randomly guessing the correct combination.

To calculate the probability that Sofie correctly identifies the set of 3 out of 33 ingredients used in the cake by randomly guessing, we can use the concept of combinations.

The total number of possible combinations of 3 ingredients chosen from a set of 33 ingredients can be calculated using the combination formula:

C(n, r) = n! / (r!(n - r)!)

where n is the total number of ingredients (33 in this case), and r is the number of ingredients chosen (3 in this case).

Plugging in the values:

C(33, 3) = 33! / (3!(33 - 3)!)

        = 33! / (3! * 30!)

        = (33 * 32 * 31) / (3 * 2 * 1)

        = 5456

There are 5456 possible combinations of 3 ingredients that Sofie can choose from.

Since Sofie is randomly guessing, there is only one correct combination out of the total possible combinations. Therefore, the probability of Sofie correctly identifying the set of 3 ingredients is:

Probability = 1 / 5456 ≈ 0.000183

So, the probability is approximately 0.000183, or about 0.0183%. It's a very low probability, highlighting the challenge of randomly guessing the correct combination.

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Answer:

51,200 unidades

Step-by-step explanation:

Paso 1

Calculamos el porcentaje de disminución

= 100000 - 80000/100000 × 100

= 20000/100000 × 100

= 20%

Por lo tanto, el porcentaje de disminución cada mes = 20%

Paso 2

La fórmula de la disminución exponencial

y = a (1 - r) ^ t

a = 80.000

r = 20% = 0,2

t = tiempo en meses = 2

y = 80000 (1 - 0,2) ^ 2

y = 51.200 unidades

Usando una función exponencial, se encuentra que habra 71.554 unidades despues de los siguientes dos meses.

Una función exponencial decreciente tiene el siguiente formato:

\(A(t) = A(0)(1 - r)^t\)

En que:

En este problema:

\(A(t) = A(0)(1 - r)^t\)

\(80000 = 100000(1 - r)^4\)

\((1 - r)^4 = 0.8\)

\(\sqrt[4]{(1 - r)^4} = \sqrt[4]{0.8}\)

\(1 - r = 0.945742\)

Por eso:

\(A(t) = A(0)(1 - r)^t\)

\(A(t) = 100000(0.945742)^t\)

Apos el siguinte dos meses, hay el mes 6, por eso:

\(A(6) = 100000(0.945742)^6 = 71554\)

Habra 71.554 unidades despues de los siguientes dos meses.

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Answer: You are incorrect, the slope is correct, but the actual y-intercept is 205 ft.

Then the equation is:

y = (-15 ft/min)*x + 205 ft

Step-by-step explanation:

Ok, let's solve this.

We know that water is drained from a reservoir, let's assume that we can model this situation with a linear relation:

y = a*x + b

Where x is time, y is the height of the water in the reservoir, a is the slope (in this case represents how much changes the height of the water in the reservoir in one unit of time) and b is the initial height of the water in the reservoir.

We know that for a line that passes through the points (x₁, y₁) and (x₂, y₂) the slope is:

a = (y₂ - y₁)/(x₂ - x₁)

For this particular case we know that after 2 minutes the height of the water is 175 ft, then we have the point (2 min, 175 ft)

and after 5 minutes (so 7 minutes in total), the height of the water is 100ft, then: (7 ft, 100ft)

Then the slope of this:

a = (100 ft - 175 ft)/(7 min - 2 min) = (-75ft/5min) = - 15 ft/min

Then our line is something like:

y = (-15ft/min)*x + b

To find the value of b, we can use the fact that when x = 2 min, y = 175 ft

So if we replace these two values in the equation we get:

175ft = (-15 ft/min)*2 min + b

175 ft = -30 ft + b

175 ft + 30 ft = b                  

(here is your problem, it seems like you subtracted instead of adding in this part)

205 ft = b

Then the equation is:

y = (-15 ft/min)*x + 205 ft

So you are incorrect (but only for a little bit), you computed wrong the y-intercept.

Answer:

α = 164.5387822595581°

Step-by-step explanation:

Calculate dot product:

a · b = ax · bx + ay · by = 5 · (-7) + (-4) · 3 = - 35 - 12 = -47

Calculate magnitude of a vector:

|a| = ax2 + ay2 = 52 + (-4)2 = 25 + 16 = 41

|b| = bx2 + by2 = (-7)2 + 32 = 49 + 9 = 58

Calculate angle between vectors:

cos α =   a · b

|a|·|b|

cos α =   -47

41 · 58

 = -  47

2378

√2378 ≈ -0.9638111202541978

α = 164.5387822595581°

Given information:Gayle installed a rectangular section of hardwood flooring measuring 12 ft by 12 ft in her family room. She plans on increasing the area of the flooring to 256 ft2 by increasing the width and length by the same amount, x.

Formula for the area of a rectangular is given as follows:Area of a rectangular = Length × WidthLet, the width and length of the rectangular be x.So, the area of the rectangular after increasing the width and length by the same amount will be:(12 + x) × (12 + x)According to the question, the area of the rectangular after increasing the width and length by the same amount is 256.So, the equation that represents the given situation is:256 = (12 + x) × (12 + x)256 = (12 + x)²Answer:Option A: 256 = (12 + x) × (12 + x) is the correct equation to find x.

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Answer:

To be honest

Step-by-step explanation:

14

Answer:

y=-5x+4

Step-by-step explanation:

Since the 2 equations have to be parallel, the slope is the same. Just substitute the x-value into the slope, and figure out the y. So therefore the answer is y=-5x+4.

Answer: 2.18

Step-by-step explanation:

Angle B= 180- (Angle A + Angle C)

= 180- (70+90)

= 180-160=20

((sin A)/BC)=((sin B)/AC)

((sin 70)/6)=((sin 20)/AC)

(0.9/6)=(0.3/AC)

AC= (6*0.3)/0.9

AC= 2.18

Answer:

2.5

Step-by-step explanation:

Answer:

6 guests will cost $18.

Step-by-step explanation:

If 5 guests cost $15

then find the unit rate by doing

15/5

which equals 3

which means each guest invite costs $3

Now 6x$3=$18

so if 5 guests cost $15, then by using unit rate it would cost $18 for 6 guests.

Answer:

it is going to be 10

Step-by-step explanation:

10•4=40

Answer:

Step-by-step explanation:

5.71×105 =599.55

Answer: top right

Step-by-step explanation: it makes the most sense

The most realistic value for the standard deviation is d) 4.

Since adult weights follow a bell-shaped distribution, we can assume a normal distribution. We know the range is from 55 to 80 pounds with a mean of 66 pounds. The standard deviation determines how spread out the data is from the mean. If the distribution is more spread out, then the standard deviation will be higher. Given the range of weights, a standard deviation of 4 seems like a reasonable value as it would allow for some variability in the weights while keeping them within the observed range. Values such as 100 billion or even 45 would not be realistic as they are too large and would imply a highly variable and skewed distribution.

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Answer:

25

Step-by-step explanation:

The required amount of strawberries eaten by the friend is given as 25 strawberries.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

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,
Let the number of strawberries he eat be x,
According to the question,
Strawberries that his friend eat = 5x - 25
Put x = 10
Strawberries that his friend eat = 50 - 25 = 25

Thus, the required amount of strawberries eaten by the friend is given as 25 strawberries.

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Answer:

b = n + n

Step-by-step explanation:

The volume of the ring-shaped remaining solid is 1797 cm³.

The volume is the total space occupied by an object.

The volume of a sphere of radius r units is given as (4/3)πr³.

The volume of a cylinder with radius r units and height h units is given as πr²h.

In the question, we are asked to find the volume of the remaining solid when a sphere of radius 9cm is drilled by a cylindrical driller of radius 5cm.

The volume will be equal to the difference in the volumes of the sphere and cylinder, where the height of the cylinder will be taken as the diameter of the sphere (two times radius = 2*9 = 18) as it is drilled through the center.

Therefore, the volume of the ring-shaped remaining solid is given as,

= (4/3)π(9)³ - π(5)²(18) cm³,

= π{972 - 400} cm³,

= 572π cm³,

= 1796.99 cm³ ≈ 1797 cm³.

Therefore, the volume of the ring-shaped remaining solid is 1797 cm³.

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Answer:

Step-by-step explanation:

A box and whisker plot (also known as a "box plot"), is a graph displaying the distribution of a set of data based on a five number summary.

To calculate the values of the five-number summery, first order the given data values from smallest to largest (this has already been done for us).

The median is the middle value when all data values are placed in order of size.

There are 28 data values in the data set, so this is an even data set.

The middle two values are 84 and 88.

\(\textsf{60, 64, 68, 68, 72, 76, 76, 80, 80, 80, 84, 84, 84, \boxed{\sf 84, 88,} 88, 88,}\\ \textsf{92, 92, 96, 96, 96, 96, 96, 96, 96, 100, 100.}\)

As there are an even number of data values, the median is the mean of the middle two values:

\(\implies \sf Median\;(Q_2) = \dfrac{84+88}{2}=86\)

The lower quartile (Q₁) is the median of the data points to the left of the median.  Again, as there is an even number of data points to the left of the median, the lower quartile is the mean of the the middle two values:

\(\textsf{60, 64, 68, 68, 72, 76, \boxed{\sf 76, 80,} 80, 80, 84, 84, 84, 84, $|$ 88, 88, 88,}\\ \textsf{92, 92, 96, 96, 96, 96, 96, 96, 96, 100, 100.}\)

\(\implies \sf Lower\;Quartile\;(Q_1) = \dfrac{76+80}{2}=78\)

The upper quartile (Q₃) is the median of the data points to the right of the median.  Again, as there is an even number of data points to the right of the median, the upper quartile is the mean of the the middle two values:

\(\textsf{60, 64, 68, 68, 72, 76, 76, 80, 80, 80, 84, 84, 84, 84, $|$ 88, 88, 88,}\\ \textsf{92, 92, 96, \boxed{\sf 96, 96,} 96, 96, 96, 96, 100, 100.}\)

\(\implies \sf Upper\;Quartile\;(Q_3) = \dfrac{96+96}{2}=96\)

An outlier is any value that lies more than one and a half times the length of the box from either end of the box.  The length of the box is called the interquartile range (IQR).  IQR = Q₃ - Q₁.

\(\begin{aligned}\sf Q_1- (1.5)(IQR) &= 78-(1.5)(96-78)\\&=78-(1.5)(18)\\&=78-27\\&=51\end{aligned}\)

\(\begin{aligned}\sf Q_3+ (1.5)(IQR) &= 96+(1.5)(96-78)\\&=96+(1.5)(18)\\&=96+27\\&=123\end{aligned}\)

As 51 is less than the minimum value of 60, and 123 is more than the maximum value of 100, there are no outliers in the data set.

The minimum data value is 60.

The maximum data value is 100.

Therefore, the five-number summary is:

Construct the box and whisker plot:

The data represented by the box is the interquartile range (IQR) where 50% of the data is found.

The left whisker represents the bottom 25% of the data and the right whisker represents the top 25% of the data.

The median score was 86, and 50% of the students scored between 78 and 96.  Therefore, it was a high scoring test and the students succeeded on the test.