What is the percentage of lemons in this group of lemons and strawberries?

Answer:

A'={1,3,5,7}

C'={1,6,7,8,9}

A' × C' = { (1,1),(1,6),(1,7),(1,8),(1,9),(3,1),(3,6),(3,7),(3,8),(3,9),(5,1),(5,6),(5,7),(5,8),(5,9),(7,1),(7,6),(7,7),(7,8),(7,9) }

The distribution of the sample proportion who voted for Obama approximately normal with a mean of 0.547 and a standard deviation of 0.0095

We are provided with the following;

Proportion of voters who voted for Obama, p=0.547 or 54.7%

Total number of voters, n=2752

Mean=official number of votes Obama got=54.7%=0.547

Let us calculate the standard deviation, s:

\(s=\sqrt\frac{p(1-p)}{n}\)

\(s=\sqrt\frac{0.547(1-0.547)}{2752}\)

s=0.009488

Hence, the sample proportion is approximately normal with a mean of 0.547 and a standard deviation of 0.0095

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Answer:

15 triangles.

Step-by-step explanation:

just count them eventually you will reach there.

Residual sum of squares (RSS) is a measure of the total amount of variance in a given data set that is not explained by a model.

It is equal to the sum of squared differences between the observed data values and the predicted values from the model. This measure is commonly used in regression analysis to evaluate the performance of a model. The formula for RSS is  RSS = Σ(y_i - ȳ)², where y_i is the observed value and ȳ is the predicted value.For example, let's say we have a data set of 10 observations (y_1, y_2, ...,y_10). We fit a linear regression model to the data set which predicts a value ȳ_i for each observation. The RSS for this model is calculated by summing the squared differences between the observed values (y_i) and the predicted values (ȳ_i) for each of the 10 observations. This yields the RSS, which is a measure of how much of the variance of the data set is not explained by the model.

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Answer:

Step-by-step explanation:

4 x 5 = 20 ft²

Answer:

A cord passing through the centre of the circle is called as its diameter

Step-by-step explanation:

brainliest plz

Answer:

Diameter

Step-by-step explanation:

Answer: 50 pizzas

Step-by-step explanation:

22 x 5 = 110

110 / 5 = 20

The slope of the given equation is -1/5 and the y - intercept is -1.

What is slope and y - intercept?

This procedure determines how quickly the value of the function's dependent variable, y, changes in relation to the independent variable, x. (independent variable). The slope itself identifies the slope and direction of the line.

the y-coordinate of a point on a surface, curve, or line where they cross the y-axis.

Consider, the given equation

p(x) = -1 - 1/5x

We have to find the slope and y - intercept of the given equation.

Rewrite the equation as,

y = -1/5x - 1

Compare this equation with

y = mx + c

where

m is the slope and

c is the y - intercept

So, from above equation, we get

m = -1/5 and c = -1

Hence, the slope of the given equation is -1/5 and the y - intercept is -1.

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Answer:

r = -1

or

r = 1

Step-by-step explanation:

because the outer lines "|    |" mean the absolute value, or the absolute opposite value of what is inside "|   |"

this means that if r = -1 then

3(-1) = -3 but -3 is in "|  |" so

|-3| = 3

and

|3| = 3

therefore r can equal -1 and/or 1

Hope this helps!

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joe runs each lap in 6 minutes, we can express the total time as 6n where n is the number of laps.

A relationship that compares two numbers or other mathematical expressions in an unequal way is known as an inequality. It is most frequently used to compare the sizes of two numbers on the number line.

A less than symbol a < b indicates that an is less than b.

A greater than b is indicated by the notation a > b.

He will run at most 66 minutes, "at most" means less than or equal.

Forming an inequality will be :

\(6n\) \(\leq\) \(66\)

Since he won't exceed 66 minutes.

The value of n will be :

\(6n\) \(\leq\) \(66\)

\(n\) \(\leq\)  \(\frac{66}{6}\)

\(n \leq 11\)

The answer is n ≤ 11

Hence, the possible number of laps he will run today  is 11

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Answer:

For half of that time, the airplane flew at a speed of 900 km/h, and for the rest of the time, it flew at a speed of 760 km/h.

Step-by-step explanation:

Answer:

The distance David travelled was 1540 km.

Step-by-step explanation:

To find the total distance David travelled, calculate the distance of the two legs of the journey separately, then add them together.

David flew at a speed of 880 km/h for one-fourth of 2.2 hours.

One-fourth of 2.2 hours is:

\(\implies \sf \dfrac{1}{4} \cdot 2.2 = 0.55\;\sf hours\)

To calculate the distance of this leg of the journey, substitute the given speed and found time into the Speed Distance Time formula.

\(\implies \sf Speed=\dfrac{Distance}{Time}\)

\(\implies \sf 880\;km/h=\dfrac{Distance}{0.55\;h}\)

\(\implies \sf Distance=880\;km/h \cdot 0.55\;h\)

\(\implies \sf Distance=484\;km\)

Therefore, David travelled a distance of 484 km during the first leg of his journey.

David flew at a speed of 640 km/h for the remainder of the journey.

The length of time of the second leg of the journey is 2.2 hours less 0.55 hours:

\(\implies \sf 2.2-0.55=1.65\;hours\)

To calculate the distance of this leg of the journey, substitute the given speed and found time into the Speed Distance Time formula.

\(\implies \sf Speed=\dfrac{Distance}{Time}\)

\(\implies \sf 640\;km/h=\dfrac{Distance}{1.65\;h}\)

\(\implies \sf Distance=640\;km/h \cdot 1.65\;h\)

\(\implies \sf Distance=1056\;km\)

Therefore, David travelled a distance of 1056 km during the second leg of his journey.

Therefore, the total distance is the sum of the distances of the two legs of the journey:

\(\sf \implies Total\;distance=484+1056=1540\;km\)

Answer:

The unit cost is: 0.02 $ per sticker

Step-by-step explanation:

Given

Total stickers = 75

The cost of 75 stickers = 1.50 (let say in $)

To determine

The unit cost per sticker

The unit cost per sticker can be calculated by dividing the total cost by the number of total stickers, so

Unit cost = 1.50 / 75

                = 0.02 $ per sticker

Therefore, the unit cost is: 0.02 $ per sticker

Answer: Choice C

\(0 \le d \le 2\)

Graph with filled in circles at d = 0 and d = 2, shading in between

==========================================

Explanation:

d = amount downloaded in gigabytes

The smallest amount is d = 0. We cannot download a negative amount of data, so this is why d = 0 is the smallest.

The largest amount allowed is d = 2. This is the cap that the ISP has set up.

So basically d can be anything between d = 0 and d = 2, including both endpoints. This means \(0 \le d \le 2\)

We use filled in circles for both endpoints to show to the reader "include these endpoints". Shading is done in between to show the entire solution set of possible d values. For instance d = 1 is in that region so it is possible to have this solution. Something like d = 4 is outside the region and not possible.

Mathematics → Solid Figures → Volume

The volume of a cylinder is:

In this question,

r = 2 ft (4/2 =2)

h = 5 ft

Then, the volume of the cylinder is (Vc):

Using π = 3:

The volume of a rectangular prism (Vr) is:

In this question:

l = 9 ft

w = 5 ft

h = 5 ft

Then, the volume of the rectangular prism is:

The volume of the object (V) is the sum of the volumes:

Answer: 285 ft³.

Step-by-step explanation:

(1 + i)¹⁴ = (1 + i)²×(1 + i)¹² = ((1 + i)²)⁷

(1 + i)² = 1 + 2i - 1 = 2i

((1 + i)²)⁷ = (2i)⁷ = 2⁷×i⁷ = 128×i²×i²×i²×i =

= 128×-1×-1×-1×i = -128i

Answer:

Step-by-step explanation:

Answer:

y=3x+6

Step-by-step explanation:

Answer:

-2n - 24

Step-by-step explanation:

2(-12 - n)       (use the distributive property)

Multiply 2 * -12, and multiply 2(-n) :

-24 - 2n

-2n - 24

The new variance is 0.41.

Given that the mean cost of a box of Cheerios oat crunch is $4.00 and the variance is 0.35.

The variance represents the average of the squared deviations from the mean, so we can write:

variance = (standard deviation)^2

The standard deviation is the square root of the variance, so we have:

standard deviation = sqrt(variance) = sqrt(0.35) = 0.59

Now, if the price of a box of Cheerios oat crunch increases by 25 cents, the new mean cost will be:

new mean = $4.00 + $0.25 = $4.25

To find the new variance, we need to calculate the new squared deviations from the mean and take their average. The squared deviation of each observation is given by:

(new cost - new mean)^2

We can simplify this expression by substituting the new mean and the original standard deviation:

(new cost - $4.25)^2 = (old cost - $4.00 + $0.25)^2 = (old cost - $4.00)^2 + 2($0.25)(old cost - $4.00) + $0.25^2

The first term on the right-hand side is the squared deviation of the original cost, the second term represents the change in the squared deviation due to the increase in price, and the third term is a constant that does not affect the variance.

To find the new variance, we need to take the average of these squared deviations. Since the original variance was 0.35, we have:

new variance = (1/n) * [sum of (new cost - new mean)^2]

where n is the number of observations (we assume it is large enough to use the normal distribution approximation). Using the expression above for the squared deviation, we can write:

new variance = (1/n) * [sum of (old cost - $4.00)^2 + 2($0.25)(old cost - $4.00) + $0.25^2]

We can simplify this expression by using the properties of summation:

new variance = (1/n) * [sum of (old cost - $4.00)^2] + (2/$n) * ($0.25) * [sum of (old cost - $4.00)] + ($0.25^2)

The first term is the original variance, the second term is zero (since the sum of deviations from the mean is always zero), and the third term is a constant that does not affect the variance. Therefore, the new variance is:

new variance = 0.35 + ($0.25)^2 = 0.41

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The number of postage stamps in John’s collection is 27.

We have given that,

John, Johan, and Jonathan collect postage stamps. Johan and Jonathan have the same number of stamps.

The elimination method is the process of eliminating one of the variables in the system of linear equations using the addition or subtraction methods in conjunction with the multiplication or division of coefficients of the variables.

Johan and Jonathan have the same number of stamps.

Let x be the Johan and Jonathan postal stamps.

Let y be the John postal stamps.

Two times Johan’s collection is eleven less than five times John’s collection.

2x = 5y - 11............(1)

Three times Jonathan’s collection is three less than seven times John’s collection.

3x = 7y - 3............(2)

Multiply equation 1 with 3

3(2x = 5y - 11)

⇒ 6x = 15y - 33.........(3)

Multiply equation 2 with 2

2(3x = 7y - 3)

⇒ 6x = 14y - 6.............(4)

Subtract equation 4 from equation 3

⇒ 6x - 6x = 15y - 33 - (14y - 6)

⇒ 0 = y - 27

⇒ y = 27

Hence, the number of postage stamps in John’s collection is 27.

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The counterclockwise circulation around c is 12 and the outward flux through c is zero.

Green's theorem is a useful tool for calculating the circulation and flux of a vector field around a closed curve in two-dimensional space.

In this case,

we have a field f=(7x−4y)i+(9y−4x)j and

a square curve c bounded by x=0, x=4, y=0, y=4.

To find the counterclockwise circulation, we can use the line integral of f along c, which is equal to the double integral of the curl of f over the region enclosed by c.

The curl of f is given by (0,0,3), so the line integral evaluates to 12.

To find the outward flux, we can use the double integral of the divergence of f over the same region, which is equal to zero since the divergence of f is also zero.

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Answer:

D is the answer

The equation in slope-intercept form, of the line that passes through (6, -5) and is parallel to the line given is: D. \(\mathbf{y = -\frac{3}{2} x + 4}\)

Recall:

From the graph shown, the slope (m) of the line is \(-\frac{3}{2}\).

Thus, the line that passes through (6, -5) and is parallel to the line in the graph will have the same slope of \(-\frac{3}{2}\).

Write the equation in point-slope form by substituting (a, b) = (6, -5) and m = -3/2 into y - b = m(x - a).

\(y - (-5) = -\frac{3}{2} (x - 6)\\\\y +5 = -\frac{3}{2} (x - 6)\)

Rewrite in point-slope form as y = mx + b

\(y +5 = -\frac{3}{2} (x - 6)\\\\y + 5 = -\frac{3}{2} x + 9\\\\y = -\frac{3}{2} x + 9 - 5\\\\\mathbf{y = -\frac{3}{2} x + 4}\)

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Step-by-step explanation:

....................

The estimated winners' prize in 2040, assuming the same rate of increase per year, is approximately $54,680,580,063,400.

The initial value is $150, and the final value is $1,163,000. The number of years between 1895 and 2007 is 2007 - 1895 = 112 years.

Using the formula for percentage increase:
Percentage Increase = [(Final Value - Initial Value) / Initial Value] * 100
= [(1,163,000 - 150) / 150] * 100
= (1,162,850 / 150) * 100
= 775,233.33%

Therefore, the winners' check increased by approximately 775,233.33% over the period from 1895 to 2007.

To estimate the winners' prize in 2040, we assume the same rate of increase per year. We can use the formula:
Future Value = Initial Value * (1 + Percentage Increase)^Number of Years

Since the initial value is $1,163,000, the percentage increase per year is 775,233.33%, and the number of years is 2040 - 2007 = 33 years, we can calculate the future value:

Calculating this expression:
Future Value = 1,163,000 * (1 + 775,233.33%)^33

Using a calculator or computer software, we can evaluate this expression to find the future value. Here's the result:

Future Value ≈ $1,163,000 * (1 + 77.523333)^33 ≈ $1,163,000 * 47,051,979.42 ≈ $54,680,580,063,400

Therefore, based on the assumed rate of increase per year, the estimated winners' prize in 2040 would be approximately $54,680,580,063,400.

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The age of the son and father obtained after solving the equation will be equal to 6 years and 34 years.

Mathematical expressions with two algebraic symbols on either side of the equal (=) sign are called equations.

This relationship is illustrated by the left and right expressions being equal. The left-hand side equals the right-hand side is a basic, straightforward equation.

As per the given information in the question,

Let the age of the father is f and the age of the son be s.

As per the given statement in the question,

The sum of the ages of a father and his son is 40 years.

f + s = 40   (i)    and,

f + s + 2(f -s) = 96    

3f - s = 96       (ii)

Add equations (i) and (ii)

4f = 136

f = 136/4

f = 34 years

Put f = 34 in equation (i)

f + s = 40

34 + s = 40

s = 40 - 34

s = 6 years.

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The height of the flagpole is 27 feet.

Given,

If two triangles are similar, sides of these triangles will be proportional.

Height of the flagpole  = h feet

Shadow castes by the flagpole  = 72 feet

Height of the person  = 6 feet

Shadow casted by the person = 16 feet

By using the property of similar triangles,

Hence, h/6 = 72/16

h = (6×72)/ 16

h = 27 feet

Therefore, The height of the flagpole is 27 feet.

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The value of the missing angles of the quadrilateral are:

a = 110°

b = 70°

c = 20°

Theorem sum of angles in a triangle states that they sum up to 180 degrees. Thus:

d = 180 - (78 + 32)

d = 70°

Similarly:

e = 180 - (78 + 32 + 18)

e = 20°

Sum of angles on a straight line is 180 degrees. Thus:

a = 180 - 70

a = 110°

We can see that e + b will be equal to 90 degrees because of the definition of right angles. Thus:

b = 90° - 20°

b = 70°

From sum of angles in a triangle as 180° is:

c = 180 - (90 + 70)

c = 20°

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