suppose p(a) = 0.25. the probability of complement of a is: group of answer choices

Answer:

1,327

Step-by-step explanation:

In linear equation, 27/2 pancakes are in the box .

What in mathematics is a linear equation?

Number of b pancake mix  to be need  =  1½ cups

Number of box has pancake mix   = 9 cups

Therefore, in order to get the total number of  batches of pancakes  needed for the batches will be calculated thus

             =  1½  * 9

             = 3/2 * 9

             = 27/2

therefore 27/2 pancakes are in the box .

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Using Algebraic expressions,  the number of baskets Desiree can assemble in 6 hours is 4.5. It will take her 5.5 days to complete the order.

We are describing an algebraic expression when we explain an expression in words that has a variable (an expression with a variable). For instance, the algebraic expression for "3 more than x" can be written. x + 3 x+ 3 x+3 .

According to the question,

Using Algebraic expressions,

Each basket takes her 3/4 of an hour to put together

5 baskets already assembled that Desirae can use for this order

a) the number of baskets Desiree can assemble in 6 hours = 3/4 × 6

= 4.5 baskets

b) Total baskets to prepare = 25

Days it will take her to complete the order = 25/4.5

= 5.5 days.

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Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

a=14/27

Decimal Form:

a=0.¯¯¯¯¯¯518

Step-by-step explanation:

The correlation coefficient is -0.29.

Correlation refers to a process for establishing whether or not relationships exist between two given variables.

In statistics, correlation coefficients are used to quantify the strength of the association between two variables. Like Pearson's correlation, which is frequently employed in linear regression, there are other varieties of correlation coefficients. It is widely used in statistics and is highly well-liked.

X      Y        X²          Y²           XY

0       8        0           64            8

1        11        1            121           11

3       10       9           100          30

4        13       16         169          52

7        10       49         100         70

10       6        100       36           60

∑X = 25

∑Y = 58

∑X² = 175

∑Y²= 590

∑XY= 231

r = N×∑XY−(∑X∑Y) / √[N∑x2−(∑x)2][N∑y2−(∑y)2]

Putting all the values,

r = 6*231 - (25*58) / √(6*175-625)(6*590-3364)

r = 1368 - 1450 / √(425)(176)

r = -82/ √ 74800

r = -82/ 273.49

r= -0.29

Therefore, the correlation coefficient is -0.29.

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Answer: he bought 5 binders in total (sry if it’s wrong)

Step-by-step explanation:

The solution to the system of linear inequalities (x, y) are (-1, 2)

A system of linear inequalities is just like a system of linear equations, except it is composed of inequalities instead of equations. Systems of linear inequalities are used to model scenarios with multiple constraints.

In the given problem, we can find the value of x and y as;

x + y > 1 ...eq(i)

-x + y ≤ 3 ...eq(ii)

Solving both inequalities;

The solution is;

1 - x < y ≤ 3 + x

We can easily plot this on a graph and the point of intersection will be our solution;

From the graph attached below, the solution to this inequality (x , y) are (-1, 2)

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Condense the right side a single sine expression:

sin(6x) - cos(6x) = R sin(6x - t)

Expanding the right side gives

sin(6x) - cos(6x) = R sin(6x) cos(t) - R cos(6x) sin(t)

Then we have

R cos(t) = 1

R sin(t) = 1

Solve for R and t:

(R cos(t))² + (R sin(t))² = 1² + 1²

R² = 2

R = √2

and

(R sin(t))/(R cos(t)) = 1/1

tan(t) = 1

t = arctan(1) = π/4

So we rewrite the equation as

√2 sin(6x - π/4) = √2

Solve for x :

sin(6x - π/4) = 1

6x - π/4 = arcsin(1) + 2nπ

(where n is any integer)

6x - π/4 = π/2 + 2nπ

6x = 3π/4 + 2nπ

x = π/8 + nπ/3

Answer:

see photo

Step-by-step explanation:

see photo, have a nice day!

The specific function g(x) and its properties are not indicated in the question. The correct answer is option D.3.

From the given information, we have:

The linear property of a particular integral states that the integral of the sum or difference of functions is equal to the sum or difference of those integrals.

This property allows you to split an integral over a given interval into multiple integrals over subintervals and combine the results.

∫₄₋₇ g(x) dx = 10

∫₄-₁₀ g(x) dx = 13

To find ∫₁₀₋₇ g(x) dx, we can use the linearity property of definite integrals. According to this property, the integral of the difference of two functions is equal to the difference of their integrals.

∫₁₀₋₇ g(x) dx = ∫₁₀ g(x) dx - ∫₋₇ g(x) dx

Substituting the given values:

∫₁₀₋₇ g(x) dx = ∫₄₁₀ g(x) dx - ∫₄₋₇ g(x) dx

∫₁₀₋₇ g(x) dx = 13 - 10

∫₁₀₋₇ g(x) dx = 3

We determined the result of the integration of g(x) from 10 to -7, relying only on the given information and the linear properties of the particular integral.

Therefore, the answer is D. 3.

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Answer:

-0.0714 approx

Step-by-step explanation:

78x − 12 = 316x + 5

Bring all the like terms together

78x -316x = 5 + 12

-238x = 17

∴ x = 17 ÷ -238 = -0.0714 (rounded up to 3 significant figures)

The values x such that (6, x, −11) and (5, x, x) are orthogonal is 6,5.

The orthogonal vectors have dot product to be zero. Thus, the formula to be used is -

a . b = a1b1 + a2b2 + a3b3, where a1, a2 and a3 are components a vector and b1, b2 and be are components of b vector.

Keep the values in formula -

a . b = 6(5) + x² + (-11)x

a . b = 30 + x² - 11x = 0

So, x² - 11x + 30 = 0

x(x - 6) - 5(x - 6) = 0

(x - 6) (x - 5) = 0

So, the value of x is 6,5.

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Answer:

7. -27 + 6y = 3y - 9

6y-3y = -9+27

3y = 18

3=6

8. 3(m-2) = -2(m-3)

3m-6 = -2m + 6

3m+2m= 6+6

5m=12

m= 12/5

Answer:

13

Step-by-step explanation:

1. convert percent into decimal

12.5% = 0.125

2. find the product

0.125 * 104 = 13

The number 13 is 12.5 percent of 104.

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100. The proportion therefore refers to a component per hundred. Per 100 is what the word percent means.

Let x be 12.5% of 104.

Here, 12.5% of 104 =x

x= 12.5/100 ×104 (The word "of" means multiplication)

x= 0.125×104

x= 13

Therefore, 13 is 12.5 percent of 104.

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Answer:

a = -3

Step-by-step explanation:

a − 2 + 3 = −2

Combine like terms

a+1 = -2

Subtract 1 from each side

a+1-1 = -2-1

a = -3

Answer:

a-2+3=-2

a+1=-2

a=-2-1

a=-3

To graph the function \(y=2x^2\), use technology such as graphing software to plot the points and visualize the parabolic curve.

Determine a range of x-values that you want to plot in the quadratic function graph. Let's choose the range from -5 to 5 for this example.

Substitute each x-value from the chosen range into the function \(y=2x^2\) to find the corresponding y-values. Here are the calculations for each x-value:

For x = -5:

y = \(2(-5)^2\) = 2(25) = 50

So, the first point is (-5, 50).

For x = -4:

y = \(2(-4)^2\) = 2(16) = 32

So, the second point is (-4, 32).

For x = -3:

y = \(2(-3)^2\) = 2(9) = 18

So, the third point is (-3, 18).

Continue this process for x = -2, -1, 0, 1, 2, 3, 4, and 5 to find their respective y-values.

Plot the points obtained from the previous step on a coordinate plane. The points are: (-5, 50), (-4, 32), (-3, 18), (-2, 8), (-1, 2), (0, 0), (1, 2), (2, 8), (3, 18), (4, 32), and (5, 50).

Connect the plotted points with a smooth curve. Since the function \(y=2x^2\) represents a parabola that opens upward, the curve will have a U-shape.

Label the axes as "x" and "y" and add any necessary scaling or units to the graph.

By following these steps, you can find the points and graph the function \(y=2x^2\).

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To find the reciprocal, replace the numerator and the denominator by each other

for the final number

the reciprocal of 4 2/3 is 3/14

Answer:

The answer is 28............

Using unit conversions the total height change from the top of mount Everest to the bottom of the Mariana trench is 12.3 miles

We know that 1 km = 0.62136 miles and 1 foot = 0.000189 miles

Depth of Mariana Trench (d) = 11 km = 11 × 0.62136

                                                          = 6.835 miles

Height of Mount Everest (h) = 29000 ft = 29000 × 0.000189

                                                              = 5.492 miles

Therefore the total height difference top of Mount Everest and to bottom of the Mariana Trench is given by

H = Depth of Mariana Trench + Height of Mount Everest

H = d + h

H = 6.835 miles + 5.492 miles

H = 12.327 miles

H = 12.3 miles

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Answer:

the perimeter is simply 2L + 2W

So lengthy 8.3

2(8.3) + 2(w) =22.4

16.6=2(w) =22.4

2(w) = 5.8

w = 5.8 divide by 2

The width is 2.9

Answer:

The third one............

The answer is the third choice

If you rearrange the equation... your answer will be the third one

Using the triangle inequality theorem, the largest possible whole-number length for the third side is 4.

The third side of a triangle must be shorter than the sum of the other two sides and longer than the difference between the other two sides.

So, for a triangle with sides of length 1, 4, and x (where x is the length of the third side), we have:

1 + 4 > x

4 + x > 1

1 + x > 4

Simplifying these inequalities, we get:

5 > x

x > 3

x > -3 (this inequality is always true)

The largest possible whole-number length for the third side is 4, since it is the largest integer that satisfies the above inequalities.

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Answer:

He paid $6.54 for each ball

Answer:

the second one, 280/32

Step-by-step explanation:

i did the calculating

sorry if wrong

Answer:

The answer is D. Multiply 3 1/8 and 2 3/4 in order to get something close to that. Since there are no answers involving the max amount of space, this is the most likely answer.

hope it helped

3(y-1)=2x+2

3(y-1)/3=2x+2/3

y-1=2x/3+2/3

y=2x/3+2/3+1

y=2x/3+5/3

m=2/3

Answer:

20/27

Step-by-step explanation:

Answer:

35 quizzes

Step-by-step explanation:

We need to determine how many ways we can choose 4 questions out of 7 to make the quizzes.

We do this by using the formula \(\displaystyle nCr=\frac{n!}{r!(n-r)!}\) which describes the number of ways we can choose \(r\) objects given \(n\) possible choices. So, if \(n=7\) and \(r=4\), then:

\(_4C_7=\frac{7!}{4!(7-4)!}\\\\_4C_7=\frac{7*6*5*4!}{4!*3!}\\\\_4C_7=\frac{210}{6}\\\\_4C_7=35\)

Hence, the teacher can make 35 different geometry quizzes.

The arithmetic mean of the integers on Jake's list is:7773 / 3 = 2591.

To find the arithmetic mean of the integers on Jake's list, we must determine all of the four-digit positive integers with this property.  Given that the product of the four digits of the four-digit positive integer is 5. Thus, we must determine all the four-digit positive integers with this property.

The four digits of the given number are distinct and positive integers. As a result, the given digits could only be 1 and 5 because the product of the four digits is 5.Therefore, the given number could be 1511, 1151, or 5111.

Since the digits are distinct, we cannot include 1115 or 1151. As a result, only three positive integers have the desired property, and their sum is:1511 + 1151 + 5111 = 7773.

The arithmetic mean of the three integers in Jake's list is given by the sum of the integers divided by the number of integers, which is 3. Therefore, the arithmetic mean of the integers on Jake's list is:7773 / 3 = 2591.

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