8/6 or 0.75
Give your answer as a fraction in its simplest form.

Answer:

- 3, - 2, 0, 5

Step-by-step explanation:

1.4 (d - 2) - 0.2d ≤ 3.2 ← distribute parenthesis and simplify left side

1.4d - 2.8 - 0.2d ≤ 3.2

1.2d - 2.8 ≤ 3.2 ( add 2.8 to both sides )

1.2d ≤ 6 ( divide both sides by 1.2 )

d ≤ 5

the only value less than or equal to 5 are

- 3, - 2, 0 ,5

\( \qquad \qquad\huge \rm༆ Answer ༄\)

Here's the solution ~

\(\qquad \sf \dashrightarrow \: - 3y - ( - 8y)\)

\(\qquad \sf \dashrightarrow \: - 3y + 8y\)

\(\qquad \sf \dashrightarrow \: 5y\)

The required result is 5y

False. A significant P-value from a chi-square test indicates that there is a statistically significant difference between the observed and expected values.

However, it does not indicate the number of significant differences or which specific categories are contributing to the overall difference.

To determine the specific differences between categories, posthoc tests or further analysis may be needed. Therefore, it is incorrect to assume that a significant P-value from a chi-square test implies only one significant difference between the parameters for the categories.

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Answer:

140

Step-by-step explanation:

15/100 = 21

21*100= 21000

21000/15= 140

Using the normal distribution formula, we know that the z score that is equivalent to 25 is 1.5.

A continuous probability distribution for a real-valued random variable in statistics is known as a normal distribution or Gaussian distribution.

The characteristics of normal distributions are as follows: Bell-like in its symmetry.

The distribution's mean and median, which are both at its center, are equal.

68 percent of the data, or approximately, falls within one standard deviation of the mean.

So, the formula is used to determine the Z score for a data point x in a normal distribution:

Z = z - mean/standard deviation

Now, use the formula to calculate the z value as follows:

Z = z - mean/standard deviation

Z = 25 - 16/6

Z = 9/6

Z = 3/2

Z = 1.5

Therefore, using the normal distribution formula, we know that the z score that is equivalent to 25 is 1.5.

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Answer:

189

Step-by-step explanation:

The volume of a pyramid is Bh/3

B=9*9, h=7

9*9*7/3=189

Answer:

V = 189

Step-by-step explanation:

V = \(\frac{1}{3}\)Bh

9 x 9 = 81

81 x 7 = 567

567 ÷ 3 = 189

\(\frac{1}{3}\) means to divide by 3, when trying to find the volume of a pyramid or cone.

Let me know if this helps!

The decimal equivalent of the hex number 0x3F is 63.

To convert the hex number 0x3F to its decimal equivalent, we need to multiply each digit by the corresponding power of 16 and sum them up.

Starting from the rightmost digit, we have:

Now, we multiply each digit by the corresponding power of 16:

Finally, we sum up the results:

(15 * 1) + (3 * 16) = 15 + 48 = 63

Therefore, the decimal equivalent of the hex number 0x3F is 63.

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The equation of the vertical asymptote is `x = 5`.

The given rational function is `f(x) = (-x^2 + 9)/(x^3 - 125)`. We need to find the following for the given function. (a) Find equations for the vertical asymptotes, if any(b) Find the x-intercepts, if any (c) Find the y-intercept, if any(a)

To find the equations for the vertical asymptotes, we need to determine the values of `x` which make the denominator zero but the numerator non-zero. This is because the denominator of a rational function can never be zero. In the given function, the denominator is `x^3 - 125 = (x - 5)(x^2 + 5x + 25)`.

So, the values that make the denominator zero are `x = 5, -2.5 + 4.33i, -2.5 - 4.33i`. However, only `x = 5` is the value that makes the numerator non-zero.

Thus, we have a vertical asymptote at `x = 5`.Hence, the equation of the vertical asymptote is `x = 5`.

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Answer:

D

Step-by-step explanation:

yo so basically started blasting

Customers who like burritos are more likely to also like hamburgers compared to customers who like hamburgers being more likely to also like burritos.

Part C: To determine which data point has the strongest association of its two factors, compare the conditional relative frequencies of the two data points.

From the table, the number of customers who like both hamburgers and burritos is 77, and the number of customers who like hamburgers is 134.

Therefore, the conditional relative frequency of "Likes burritos" given "Likes hamburgers" is:

77/134 ≈ 0.574

Similarly, from the table, the number of customers who like both hamburgers and burritos is 77, and the number of customers who like burritos is 56.

Therefore, the conditional relative frequency of "Likes hamburgers" given "Likes burritos" is:

77/56 ≈ 1.375

Since the conditional relative frequency of "Likes hamburgers" given "Likes burritos" is greater than 1, conclude that the data point "Likes burritos" has the strongest association of its two factors.

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Answer:

y= -2/7x +4

Step-by-step explanation:

Answer: -2/7

Step-by-step explanation:

1. Use the slope equation (y2-y1)/(x2-x1) you take 2 coordinates in the chart and use the second coordinates y output minus the first corrdinates y output and the same for the x inputs and whatever you get is your slope

1. Plug the first two coordinates into the slope formula:

(6-8)/(-7-(-14))

2. Solve:

-2/7!

I hope this helped :)

Answer:

\(x = 48\)

Step-by-step explanation:

Quotient means what you get when you divide a number by another number.

What we can do is make an equation using the information given, which turns out to be this:

\((\frac{x}{6}) - 2 = 10\)

Add 2.

\(\frac{x}{6} = 8\)

Multiply by 6.

\(x = 48\)

Answer:

33

Explanation:

replace y with 18 and solve.

18 = 2/3x - 4

add 4 to both sides and divide by 2/3

\(~~~~~~ \textit{Simple Interest Earned} \\\\ I = Prt\qquad \begin{cases} I=\textit{interest earned}\\ P=\textit{original amount deposited}\dotfill & \$5000\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ t=years\dotfill &3 \end{cases} \\\\\\ I = (5000)(0.05)(3) \implies I = 750\)

Answer: I think it’s A

Step-by-step explanation:

But go for it

Answer:4log5=4log5

Step-by-step explanation:

Take the log of both sides

log5^4 =log 625

By log log a^b=b loga

4log 5=log5^4

4log5 =4log 5

Expressions and equations can be written in logarithmic forms.

The logarithmic form of \(5^4 = 625\) is \(\log_5(625) = 4\)

The equation is given as:

\(5^4 = 625\)

Take the logarithm of both sides of the equation

\(\log(5^4) = \log(625)\)

Apply law of logarithm

\(4\log(5) = \log(625)\)

Divide both sides of the equation by log(5)

\(4 = \frac{\log(625)}{\log(5)}\)

Apply change of base law of logarithm

\(4 = \log_5(625)\)

Rewrite the equation as follows:

\(\log_5(625) = 4\)

Hence, the logarithmic form of \(5^4 = 625\) is \(\log_5(625) = 4\)

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The solution set of a homogeneous system of 18 linear equations in 20 variables lies in the null space of the coefficient matrix.

To know that every associated nonhomogeneous equation has a solution, we need to ensure that the homogeneous system has a nontrivial solution.

This means that we need to know whether the rank of the coefficient matrix of the homogeneous system is less than the number of variables, i.e., whether there exist free variables.

If the rank is less than the number of variables, then there are infinitely many solutions to the homogeneous system, and thus every associated nonhomogeneous equation has a solution.

However,

We also need to ensure that the particular solution to the nonhomogeneous equation does not lie in the null space of the coefficient matrix.

This is equivalent to checking whether the null space of the coefficient matrix is orthogonal to the vector on the right-hand side of the nonhomogeneous equation.

If it is, then the nonhomogeneous equation has a solution.

So, in summary, to know that every associated nonhomogeneous equation has a solution.

We need to know whether the rank of the coefficient matrix of the homogeneous system is less than the number of variables, and we need to check whether the particular solution lies in the null space of the coefficient matrix.

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The Great Rift Valley of Africa was formed by tectonic-plates diverging from each other, and the land between them sinking or subsiding.

The "Great-Rift-Valley" is a geological feature in East Africa that stretches over 6,000 kilometers (3,700 miles). It is a result of the movement of tectonic plates in the Earth's crust.

The African continent is situated on the African Plate, which is bordered by the Arabian Plate in the northeast. As these plates diverge, the Earth's crust weakens, and the land between them sinks down, creating a large depression known as a rift valley.

This process is known as rifting and has resulted in the formation of the Great Rift Valley of Africa.

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The given question is incomplete, the complete question is

Fill in the banks.

The Great Rift Valley of Africa was formed by tectonic plates ___________ and the land _________.

7.68 pounds of honey remains after the bears ate 0.32 pounds.

What is a initial amount mean?

When referring to any Capital Appreciation Bond, Original Amount refers to the Bond's Accrued Value as of the date of issuance.

To find how much honey remains, we need to subtract the amount eaten by the bears from the initial amount produced:

Remaining honey = Initial honey - Honey eaten by bears

Remaining honey = 8 pounds - 0.32 pounds

Remaining honey = 7.68 pounds

Therefore, 7.68 pounds of honey remains after the bears ate 0.32 pounds.

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To answer your question, we need to use some geometry and conversion factors. The two 50-degree sectors cut from the silver disk form a wedge shape, which we can calculate the volume of.

First, we need to find the radius of the original silver disk. We know that the angle of each sector is 50 degrees, which is 1/5 of a full circle (360 degrees). So, the circumference of the circle would be divided into five equal parts. The formula for circumference is C = 2πr, where r is the radius. Therefore, we can set up the equation 5C/5 = 2πr, or C = (2πr)/5. We know that the weight of the silver disk is 2.3 grams, so we can assume that the density of silver is 10.5 grams per cubic centimeter. Using these values, we can solve for the radius:
2.3 g / (10.5 g/cm^3) = V
V = 0.219 cm^3
C = (2πr)/5
C = (2π)(r) / 5
0.219 = (2π)(r) / 5
r = 0.0878 cm

Now that we know the radius, we can calculate the volume of each earring wedge. The formula for the volume of a wedge is V = (1/6)πh^2(3R-h), where h is the height of the wedge and R is the radius of the original circle. Since we cut two 50-degree sectors from the circle, the central angle of the wedge is 100 degrees, or 5/9 of a full circle. We can use this angle to find the height of the wedge:
100/360 = h / 0.0878
h = 0.0242 cm

Now we can calculate the volume of each wedge:
V = (1/6)π(0.0242)^2(3(0.0878)-0.0242)
V = 0.000069 cm^3

Finally, we can convert this volume to milligrams using the density of silver:
0.000069 cm^3 x 10.5 g/cm^3 x 1000 mg/g = 0.7245 mg
So the silver wedge for each earring weighs approximately 0.725 milligrams.

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Answer:

\( - 30\)

Step-by-step explanation:

\( \sin {}^{ - 1} ( - \frac{1}{2} ) = \)

Using the identity,

\( \sin( - x) = - ( \sin(x) )\)

\( \sin( \frac{1}{2} ) = \frac{\pi}{6} \)

so

\( \sin {}^{ - 1} ( \frac{ - 1}{2} ) = - \frac{\pi}{6} \)

Convert to degrees.

\( - 30\)

Answer:

F=ma

F=1250*40

F=50000N

Ok so firstly, you need to remember that when a radius is touching a tangent, the angle is always equal to 90°. So x + 57° = 90°. That means your angle is 33°. You have drawn a right angle which is correct so the left triangle's angle is 90° - 33° = 57°. Now because both sides of the triangle is radius, that means c and 57° are equal. That means c = 57°.

Answer:

c = 57 degrees.

Step-by-step explanation:

This is the Alternate Segment theorem:

The angle between a chord of a circle and a tangent to the circle = the angle subtended by the chord in the alternate segment.

So c = 57 degrees.

Answer:

the answer is 102

Step-by-step explanation:

hope this helps

The scalar product P.Q = 33, P.S = -25, and Q.S = -2. The scalar product P-Q, P-S, and Q-S are not defined.

The scalar product, also known as the dot product, is a mathematical operation that takes two vectors and returns a scalar quantity. To compute the scalar product of two vectors, we multiply their corresponding components and sum the results.

For the given vectors, P = (11)i + (10)j + (11)k, Q = (3)i + (4)j - (5)k, and S = -4i + j - 2k.

To find P.Q, we multiply the corresponding components of P and Q and sum the results: P.Q = (11)(3) + (10)(4) + (11)(-5) = 33.

Similarly, P.S = (11)(-4) + (10)(1) + (11)(-2) = -25, and Q.S = (3)(-4) + (4)(1) + (-5)(-2) = -2.

However, the scalar product P-Q, P-S, and Q-S are not defined since these operations involve subtracting vectors, and the scalar product is not defined for vector subtraction.

Therefore, the scalar products P.Q = 33, P.S = -25, and Q.S = -2, while the scalar products P-Q, P-S, and Q-S are not defined.

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Answer:

Step-by-step explanation:

25p = (25)(p)

50q = (25)(2q)

therefore

25p + 50q = (25)(p) + (25)(2q) = (25)(p + 2q)

Answer:

p + 2q = 1

Step-by-step explanation:

25(p + 2q) = 25

p + 2q = 1

The 25 Kg weight will stretch the spring 120.84 cm .

In the question ,

it is given that

the distance(D) that spring  stretches by hanging objects vary directly to the weight(W) of the object .

which means

D ∝ W

to remove the proportionality sign , we write the constant k

So, D = k × W  ,

where k is the constant of proportionality

given that 6 Kg weight stretches the spring 29 cm

So,

29 = k * 6

k = 29/6

to find the stretch for 25 Kg weight

D = (29/6)*25

D = 120.84 cm

Therefore ,The 25 Kg weight will stretch the spring 120.84 cm .

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