14 ones = ? Ten and ? ones

The required probability as calculated from the data given is 0.144.

number of taffy =  11

number of butterscotch = 3

number of caramel = 4

Total number of candies = 18

A: the probability that the first candy selected is taffy and the second candy is caramel

P(A) =  (11/18)(4/17)

= 0.144

Probability means the likelihood of an even to occur it is calculated as the number of favorable outcomes divided by the total number of outcomes. It is use to make predictions and is helpful in industries such as weather forecasting.

Some common terms associated with probability are experiment , event , outcome, sample space etc.

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Answer: -24x^2+28x

Step-by-step explanation: -4x*6x-(-4x)*7 to -24x^2+28x

Answer:

425

Step-by-step explanation:

Answer:

k=425

Step-by-step explanation:

Answer:

Sides: a = 9.165   b = 4   c = 10

Step-by-step explanation:

Is that check mark supposed to be square root?

Answer:

\((4^{2} +(\sqrt{84} ^{2} )\\=100\)

Step-by-step explanation:

Answer:

\(3x = 84 - 2y - - - (i) \\ 9x = 8y - 24 - - - - (ii) \\ from \: (ii) \\ 3(3x) = 8y - 24 \\ but \: from \: (i) \: \: 3x = 84 - 2y \\ hence \: put \: (i) \: in \: (ii) \\ 3(84 - 2y) = 8y - 24 \\ 252 - 6y = 8y - 24 \\ 276 = 14y \\ y = \frac{138}{7} \\ x = \frac{104}{7} \)

Answer:

12.57 units

Step-by-step explanation:

i put the explanation in the picture because i didnt know how to put it in here

The length of arc EG is 12.56 units.

The arc length of a circle is the distance between two points on the curve of the circle.

We have,

Arc length = (angle/360) x (2πr)

Now,

From the circle,

EF = r = 15 units

m∠EFG = angle = 48

Substituting.

Arc length

= (angle/360) x (2πr)

= 48/360 x 2π x 15

= 12.56

Thus,

The length of arc EG is 12.56 units.

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Answer:

The height of the lighthouse is approximately 166.6 feet.

Step-by-step explanation:

Let the height of the lighthouse be represented by s, then;

Tan 48° = (opposite) ÷ (adjacent)

Tan 48° = s ÷ 150

⇒ s = 150 × Tan 48°

      = 150 × 1.1106

     = 166.59

s ≅ 166.6 feet

Therefore, the height of the lighthouse is approximately 166.6 feet.

Answer:

The height of the lighthouse is approximately 42.

Step-by-step explanation:

This situation forms a right triangle so the angles would be 90 and 48

90+48+x=180

138+x=180

x=180-138

x=42

Answer:

4a⋅ x/ae

Step-by-step explanation:

Answer:

20 students

Step-by-step explanation:

Turn 25 to 25/1 and multiply it by 4/5. You get 100/5=20

The Reduction in the Price of Computer is $56.25

What is Percentage?

A percentage is a figure or ratio that may be stated as a fraction of 100 in mathematics. If we need to compute the percentage of a number, divide it by the entire and multiply by 100. As a result, the percentage denotes a part per hundred. The term 100% refers to one hundred percent. It is denoted by the sign "%".

Solution:

To solve this problem we need to find 15% of $375

15 * 375 / 100 = 56.25 $

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a) The Corresponding minimum UGPA = 3.70

b) The range of middle 50% values will be: (3.28, 3.52).

A measure of how many standard deviations below or above the population mean a raw score is called z score. It will be positive if the value lies above the mean and negative if it lies below the mean. It is also known as standard score. It indicates how many standard deviations an entity is, from the mean. In order to use a z-score, the mean μ and also the population standard deviation σ should be known. A z score helps to calculate the probability of a score occurring within a standard normal distribution. It also enables us to compare two scores that are from different samples.

a) z score corresponding to top 5% area = 1.645

Hence, Corresponding minimum UGPA = 3.40 + 1.645*0.18 = 3.70

b) z score corresponding to middle 50% area = -0.67, 0.67

Hence, The range of middle 50% values will be:

(3.40 - 0.67*0.18, 3.40 + 0.67*0.18)

(3.28, 3.52)

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Answer:

Step-by-step explanation:

answer is b

Rotating 120° counterclockwise about point x, made the transformation shown in the picture above

Answer:

Step-by-step explanation:

Number needed is 4² = 16

Answer:

Solution given:

x² + 8x =6

x²+2.x.4+4²-4²=6

(x+4)²=6+16

(x+4)²=22

so

no needed is 4² or 16.

Answer:

5 cm

Step-by-step explanation:

Opposite sides are equal in a rectangle.

So, Area of missing length = 16-11 = 5 cm

The diameter of the circle is approximately 60 inches.

To explain further, we can use the formula relating the central angle of a sector to the length of its intercepted arc. The formula states that the length of the intercepted arc (A) is equal to the radius (r) multiplied by the central angle (θ) in radians.

In this case, we are given the central angle (225 degrees) and the length of the intercepted arc (30π inches).

To find the diameter (d) of the circle, we need to find the radius (r) first. Since the length of the intercepted arc is equal to the radius multiplied by the central angle, we can set up the equation 30π = r * (225π/180). Simplifying this equation gives us r = 20 inches.

The diameter of the circle is twice the radius, so the diameter is equal to 2 * 20 inches, which is 40 inches. Therefore, the diameter of the circle is approximately 60 inches.

In summary, by using the formula for the relationship between central angle and intercepted arc length, we can determine the radius of the circle. Doubling the radius gives us the diameter, which is approximately 60 inches.

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The explicit rule for the mentioned graph is, If the involved variables are correlated, the points will fall along a line or curve.

Scatter plots have been described as one of the most useful inventions in statistical graphs. Scatter plots were originally presented by British scientist John Frederick W. Herschel in 1833. Herschel used it when studying the orbits of binary stars. He plotted the angle of the double star against the measured year. Scatter plots were used to understand the underlying relationship between the two measurements. Bar charts and line charts are commonly used, but scatter charts still dominate the world of science and business. It's very easy to see the points on a scale and understand their relationships.

A scatterplot is a way of displaying data in a graphical format. A simple scatterplot uses axes to plot points based on their values.

Since the cost of safari increases with the number of passengers, it shows the direct and positive correlation between the variables and hence the formation of linear scatter plot.

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The value of the given expression is

\($\boxed{\frac{2\sqrt{2}}{3}ab^2\left(\sqrt{3}+2\ln(2+\sqrt{3})\right)}$\)

(approx. 3.78ab²).

Here, we have,

We have been given the expression as follows:\($$ \iint_R(x^2-y^2) \, dA $$\)

Here, R is bounded by the ellipse \((\frac{x^2}{b^2})+ (\frac{y^2}{a^2} )\leq 1\)

The region R is shown in the figure below:

Region R has been bounded by an ellipse. We need to find the value of the given expression for this region.

Using double integral,

we can find the value of the expression as follows:

\($$ \iint_R(x^2-y^2) \, dA $$\)

Since, the region R is symmetric in x and y, we can use the formula for double integral as follows:

\($$ \int_{-a}^a \int_{-b\sqrt{1-\frac{x^2}{a^2}}}^{b\sqrt{1-\frac{x^2}{a^2}}}(x^2-y^2) \, dy \, dx $$\)

\($$ \int_{-a}^a \left[xy-\frac{y^3}{3}\right]_{-b\sqrt{1-\frac{x^2}{a^2}}}^{b\sqrt{1-\frac{x^2}{a^2}}}dx $$\)

Now, putting the limits, we get:

\($$ \int_{-a}^a \left[xb^2\sqrt{1-\frac{x^2}{a^2}}+\frac{2b^2}{3}\left(1-\frac{x^2}{a^2}\right)^{3/2}-xa^2\sqrt{1-\frac{x^2}{a^2}}-\frac{2a^2}{3}\left(1-\frac{x^2}{a^2}\right)^{3/2}\right]dx $$\)

Simplifying the above expression, we get:

\($$ \int_{-a}^a \left[\frac{2}{3}(a^2-b^2)x\sqrt{1-\frac{x^2}{a^2}}+\frac{4}{3}b^2\left(1-\frac{x^2}{a^2}\right)^{3/2}\right]dx $$Now, putting $x=a\sin\theta$,\)

we get:

\($$ \int_{-\frac{\pi}{2}}^{\frac{\pi}{2}} \left[\frac{2}{3}(a^2-b^2)a\sin\theta\cos\theta+\frac{4}{3}b^2\left(1-\sin^2\theta\right)^{3/2}\right]a\cos\theta \, d\theta $$\)

Simplifying the above expression, we get:

\($$ \frac{4}{3}ab^2\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}}\left[\cos^2\theta\sqrt{1-\sin^2\theta}\right]d\theta $$Using the identity $\cos^2\theta=1-\sin^2\theta$,\)

we can simplify the above expression as:

\($$ \frac{4}{3}ab^2\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}}\left[\sin^2\theta\cos^2\theta\right]^{1/2}d\theta $$\)

Now, using the substitution

\($u=\sin\theta$,\)

we get:\($$ \frac{4}{3}ab^2\int_{-1}^1\sqrt{u^2-u^4}du $$\)

Using the substitution

\($u=\sin\phi$, we get:$$ \frac{4}{3}ab^2\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}}\sqrt{\sin^2\phi-\sin^4\phi}\cos\phi \, d\phi $$\)

Now, using the identity

\($\sin^2\phi=1-\cos^2\phi$,\)

we can simplify the above expression as:

\($$ \frac{4}{3}ab^2\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}}\sqrt{1-\sin^2\phi-\sin^4\phi}\cos\phi \, d\phi $$\)

Now, using the identity

\($\sin^2\phi=\frac{1-\cos(2\phi)}{2}$,\)

we get:

\($$ \frac{4}{3}ab^2\int_{-\frac{\pi}{2}}^{\frac{\pi}{2}}\sqrt{1-\frac{1}{2}\cos^2(2\phi)-\frac{1}{4}\cos^4(2\phi)}\cos\phi \, d\phi $$\)

Using the substitution

\($v=\cos(2\phi)$,\)

we get:

\(\frac{2\sqrt{2}}{3}ab^2\int_0^1\sqrt{1-\frac{1}{2}v^2-\frac{1}{4}v^4}dv $$\)

Using the substitution \($v=\sqrt{2}\sin\theta$,\)

we get:

\(\frac{2\sqrt{2}}{3}ab^2\int_0^{\frac{\pi}{2}}\sqrt{1-\sin^2\theta+\frac{1}{2}\sin^4\theta}\cos\theta \, d\theta\)

Now, using the identity \($\sin^2\theta=1-\cos^2\theta$,\)

we can simplify the above expression as:

\(\frac{2\sqrt{2}}{3}ab^2\int_0^{\frac{\pi}{2}}\sqrt{2\cos^2\theta-\cos^4\theta}\cos\theta \, d\theta\)

Now, using the substitution

\($w=\cos\theta$,\)

we get:

\(\frac{4}{3}ab^2\int_0^1\sqrt{2w^2-w^4}dw\)

Using the substitution

\($w=\sqrt{2}\sin\phi$,\)

we get:

\(\frac{4}{3}ab^2\int_0^{\frac{\pi}{2}}\sqrt{2\sin^2\phi-2\sin^4\phi}\cos\phi \, d\phi $$\)

Now, using the identity

\($\sin^2\phi=1-\cos^2\phi$,\)

we can simplify the above expression as:

\(\frac{4}{3}ab^2\int_0^{\frac{\pi}{2}}\sqrt{2\cos^2\phi-2\cos^4\phi}\cos\phi \, d\phi $$\)

Using the substitution

\($z=\cos\phi$,\)

we get:

\(\frac{2\sqrt{2}}{3}ab^2\int_0^1\sqrt{1-z^2}\sqrt{2z^2-1}dz $$\)

Now, using the substitution

\($z=\frac{1}{\sqrt{2}}\cosh u$,\)

we get:

\(\frac{4\sqrt{2}}{3}ab^2\int_0^\sqrt{2}}\sinh^2u \, du $$\)

Now, using the identity

\($\sinh^2u=\frac{1}{2}(\cosh 2u-1)$,\)

we can simplify the above expression as:

\(\frac{4\sqrt{2}}{3}ab^2\left[\frac{1}{4}\sinh 2u-\frac{1}{2}u\right]_0\sqrt{2}} $$\)

Putting the limits, we get:

\(\frac{4\sqrt{2}}{3}ab^2\left(\frac{1}{4}\sqrt{3}+\frac{1}{2}\ln(2+\sqrt{3})\right) $$\)

Hence, the value of the given expression is

\($\boxed{\frac{2\sqrt{2}}{3}ab^2\left(\sqrt{3}+2\ln(2+\sqrt{3})\right)}$\)

(approx. 3.78ab²).

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The area of Liberty's township square playground; trinomial x²-10x+25 can also be represented as the square of (x - 5).

The trinomial x² - 10x + 25 represents the area of Liberty's township square playground.

To understand this trinomial, let's break it down and analyze its components:

x²represents the area of a square with side length x.

-10x represents the length of the rectangular portion of the playground.

25 represents the area of a smaller square within the playground.

So, in essence, the playground can be visualized as a square with side length x, from which a rectangular section measuring 10x is subtracted, and within that remaining space is a smaller square with side length 5 (since 5² = 25).

In terms of factoring the trinomial, we can rewrite it as a perfect square:

x² - 10x + 25 = (x - 5)²

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Answer:

k = 33, 35

Step-by-step explanation:

k + 3 = 36

k = 36 - 3

k = 33

k + 1 = 36

k = 36 - 1

k = 35

If the rate of interest is 8.95% and the loan amount is $2900 for 11 months then the amount to be charged after 11 months will be $3137.92.

Given that the rate of interest is 8.95%, loan amount is $2900 and the number of months is 11 and we have to assume each month be 1/12 of a year.

We are required to find the amount to be charged after 11 months.

Simple interest is basically calculated by multiplying the daily interest rate by the principal by the number of days that elapse between payments.

Loan amount=$2900

Interest rate=8.95%

Months=11

Interest of 11 months=(2900*8.95*11/1200)

=$237.92

Total amount=$2900+237.92

=$3137.92

Hence if the rate of interest is 8.95% and the loan amount is $2900 for 11 months then the amount to be charged after 11 months will be $3137.92.

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One line in the question is wrong. The correct line that we have to assume each month be 1/12 of a year.

Answer:

= and \(\leq\) and \(\geq\)

Step-by-step explanation:

Absolute value -9 is 9, but there is a negative sign so it is -9

-9=-9

Greater than or equal to works because of the equal sign.

Less than or equal to also works because of the equal sign.

Answer:

x+7=19-x

Move the x to the other side by adding it,

2x+7=19

Now move the 7 to the other side by subtracting it

2x=12

Lastly divide both sides by 2 to get x alone

x=6

6 is your answer

:)

Step-by-step explanation:

Answer:

A and C

Step-by-step explanation:

did assignment on edge

Answer:

There is 91.44 centimeters in 3 feet.

Step-by-step explanation:

First, you would have to know that there are 12 inches in 1 feet. So, if you do 12 x 3, you would get 36 inches to equal 3 feet. Then, you can do 36 x 2.54 and get your answer of 91.44 centimeters.