Solve the following equation : -3(x + 15) + 4 - 5x = 2 + 10x - 7.

In this question, we are asked to find the success probability for X and hence \($p_{X}$\).

Given brand of dinnerware has three colors: red, white, and blue.

Customers order the red set \($(X)=20 \%$\)

Customers order the white set \($(Y)=45 \%$\)

Customers order the blue set \($=35 \%$\)

Let \($X=1$\) if a randomly chosen order is for a red set, let \($X=0$\)otherwise.

Let \($Y=1$\) if a randomly chosen order is for a white set, let \($Y=0$\)otherwise.

Let \($Z=1$\) if a randomly chosen order is for either a red or white set, let \($Z=0$\) otherwise.

Since given data is in percentage.

We can say out of 100 customers, 20 customers ordered the red set.

\(\begin{gathered}p_{X}=\frac{\text { No.of customers whoordered the redset }}{\text { Totalno.of customers }} \\p_{X}=\frac{20}{100}=0.20\end{gathered}\)

Hence the success probability for \($X\left(p_{X}\right)$ is $0.20$.\)

What is percentage ?

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Jeanine Baker can create 6,188 different selections of the 5 flowers from the 17 available.

Jeanine Baker can create different floral arrangements using combinations. In this case, she has 17 different cut flowers and plans to use 5 of them. The number of possible selections can be calculated using the combination formula:
C(n, r) = n! / (r!(n-r)!)
Where C(n, r) represents the number of combinations, n is the total number of items (17 flowers), and r is the number of items to be chosen (5 flowers).
C(17, 5) = 17! / (5!(17-5)!)
Calculating the result:
C(17, 5) = 17! / (5!12!)
C(17, 5) = 6188
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Answer:

-5

Step-by-step explanation:

=> x + (-5) = -10

=> x - 5 = -10

=> x = -10 + 5

=> x = -5

Decreasing the period to 1 ms helps ensure bounces will not be noticed (option c).

1. The synchsm samples the state of button A0 every 5 ms. This means that every 5 ms, it checks whether the button is pressed (1) or not pressed (0).

2. The button has a bounce duration of up to 20 ms. When the button is pressed or released, it may exhibit temporary fluctuations in its state due to mechanical factors. This is known as "button bounce."

3. To ensure that bounces are not noticed, the synchsm needs to accurately capture the true state of the button and filter out any temporary fluctuations.

4. Option (a) states that a bounce will never be noticed. However, since the button can bounce for up to 20 ms, this option is not true.

5. Option (b) suggests increasing the period to 30 ms. Increasing the period between samples would provide more time for the button to settle and reduce the chances of capturing a bounce. However, a period of 30 ms is still longer than the maximum bounce duration of 20 ms, so this option does not guarantee that bounces will not be noticed.

6. Option (c) proposes decreasing the period to 1 ms. By reducing the period, the synchsm can sample the button state more frequently, increasing the chances of capturing the true state and minimizing the impact of bounces. This option helps ensure that bounces will not be noticed.

7. Option (d) suggests eliminating the period and running the synchsm as fast as possible. However, without a period, the synchsm would continuously sample the button state, making it susceptible to capturing bounces. Therefore, this option does not help ensure that bounces will not be noticed.

Based on the above analysis, option (c) is the correct answer as decreasing the period to 1 ms helps ensure bounces will not be noticed.

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The order of steps for solving an equation are as follows;

In order to evaluate and solve any given equation or expression, we would have to apply the PEMDAS rule, where mathematical operations within the parenthesis (grouping symbols) are first of all evaluated, followed by exponent, and then multiplication or division from the left side of the equation to the right.

Lastly, the mathematical operations of addition or subtraction would be performed from left to right with respect to any given equation or expression.

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Answer:

2/1

Step-by-step explanation:

you just have to put the number over 1

Answer:

I don't know that this answer would be right or wrong

Step-by-step explanation:

So please first check

Answer:

The equation that describes the profit the store makes in a day that X units of yo-yo is sold is  P= X × $8.00 - $50.00

Step-by-step explanation:

The information given are;

The price of each yo-yo = $8.00

The only available cost is the store clerk fee cost per day = $50.00

Let us call the number of yo-yo's sold per day as X

Therefore, the amount sold per day = X × $8.00

The company's profit, P = Total sales - Total cost

∴ P= X × $8.00 - $50.00

Therefore, the equation that describes the profit the store makes in a day that X units of yo-yo is sold = P= X × $8.00 - $50.00.

The correct statement according to the zero product property is the one in option B.

The zero product property says that if the product of two numbers A and B is zero, then either A or (and) B are equal to zero.

Then if:

(x + 10)*x = 0

Then we have that either:

x = 0

or:

x + 10 = 0

x = -10

Then the correct option is B:

"Either x = 0 or x + 10 =0"

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Answer:

the constant is 2

Step-by-step explanation:

since 2 is alone without any variables

Answer:

6

Step-by-step explanation:

we will calculate the prime factors( gcd) of the numbers by matching the biggest comman factor of 24 or 30

Since 56 pints of Cold Farm ice cream cost $140, and 28 quarts of Cold Farm, ice cream cost $133, hence the large size container is the better deal for Sheldon.

From the table, we are told that 1 pint of Cold farm costs $2.50, this can be written as:

56pints of the cold farm will cost (56 * 2.50) = $140

Similarly, 1 quartz of Cold farm costs $4.75, this can be written as:

28pints of the cold farm will cost (28 * 4.75) = $133

56 pints of Cold Farm ice cream cost $140, and 28 quarts of Cold Farm, ice cream cost $133, hence the large size container is the better deal for Sheldon.

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Answer:

$5.23

Step-by-step explanation:

$3.99 + $3.49 + $7.29 = $14.77

$20 - $14.77 = $5.23

Answer:

$5.23

Step-by-step explanation.

Coffee($3.99) + Coffee creamer($3.49) + Apple pie($7.29) = $14.77

$20 - $14.77 =$5.23

To find the expected value and variance of the total number of prizes won, we need to first calculate W using the information given in part (1), and then use those values in the formulas.

(1) To find the expected value (E[W]) and variance (Var[W]) of the number of groups that have three women (W), we need to consider the probability distribution of W.Since there are 50 women and 25 study groups, the maximum value of W can be 25. However, W cannot be less than zero. To calculate E[W], we multiply each possible value of W by its corresponding probability and sum them up. Since the assignment of students to study groups is random, the probability of a group having three women is the same for each group. Therefore, the probability of a group having three women is (50/75) * (49/74) * (48/73) = 0.1667.

E[W] = 25 * 0.1667 = 4.17

To calculate Var[W], we need to calculate the probability of each value of W and its squared difference from E[W]. The variance formula is Var[W] = E[(W - E[W])^2]. Using the probabilities mentioned above, we can calculate Var[W] as:

Var[W] = (0 - 4.17)^2 * (1 - 0.1667) + (1 - 4.17)^2 * 0.1667 + (2 - 4.17)^2 * 0 + ... + (25 - 4.17)^2 * 0

(2) To find the expected value and variance of the total number of prizes won by women in the groups with three women, we can use the concept of the binomial distribution. Let X be the total number of prizes won. Since each woman in a group independently wins a prize with a probability of 0.4, the distribution of X follows a binomial distribution with parameters n = W (number of groups with three women) and p = 0.4.

The expected value of X is given by E[X] = n * p = W * 0.4.

The variance of X is given by Var[X] = n * p * (1 - p) = W * 0.4 * 0.6.

Therefore, to find the expected value and variance of the total number of prizes won, we need to first calculate W using the information given in part (1), and then use those values in the formulas mentioned above.

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Bella is learning to type. She typed a letter to her teacher but misspelled 8 words. If she misspelled 25% of the words she typed, how many words did she type in her letter?

_________________________________________

She misspelled 8 words = 25% of the words she typed

25%= (8 / total words)* 100

0.25 = 8 / total words

total words = 8/0.25

total words = 32

__________________________-

The total words she typed in her letter were 32

The coordinate matrix of x in Rn relative to the basis b' is [5, 6]. To find the coordinate matrix of x in Rn relative to the basis b', we need to express x as a linear combination of the basis vectors in b'.

Given the basis b' = {(9, 0), (0, 4)} and the vector x = (45, 24), we want to find the scalars c1 and c2 such that:

x = c1*(9, 0) + c2*(0, 4)

By solving this equation, we can determine the values of c1 and c2, which represent the coordinates of x in the basis b'.

Expanding the equation, we have:

(45, 24) = (9c1, 0) + (0, 4c2)

Equating the corresponding components, we get two equations:

45 = 9c1   (equation 1)

24 = 4c2    (equation 2)

Solving equation 1, we find c1 = 5.

Solving equation 2, we find c2 = 6.

Therefore, the coordinate matrix of x in Rn relative to the basis b' is [5, 6].

In other words, the vector x can be expressed as a linear combination of the basis vectors in b' with coefficients 5 and 6, respectively.

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Answer:

|5 - 7| =2

What you want to do first is to do the equation 5-7 which is -2 but there is an absolute value sign so 2.

-3|11 - 15|=-12

For this one it is a little more difficult but all you have to do is do the equation 11-15 which is -4 but there is an absoulte value sign so 4 you then multiply 4 by -3 which is -12 bam.

The speed of the car with a wheel having a radius of 10in and rotating at 700 rpm is 4.08 miles/hour.

Speed is simply referred to as distance traveled per unit time.

Mathematically, Speed = Distance ÷ time.

To find the speed of the car, we need to use the formula:

speed = distance/time

First, we need to find the distance traveled by the car in one minute, since we know the wheels are rotating at 700 rpm.

In one revolution, the circumference of the wheel is 2πr,

where r is the radius of the wheel.

Therefore, in one minute, the distance traveled by the car will be;

distance = circumference × revolutions per minute

distance = 2πr × rpm

distance = 2π( 10 ) × 700

distance = 439822.97 in/min

Next, we need to convert this distance to miles per hour.

Since there are 12 inches in a foot and 5280 feet in a mile.

Hence;

distance = 439822.97 in/min × (1 ft/12 in) × (1 mile/5280 ft) × (60 min/hour)

distance = 4.08 miles/hour

Therefore, the speed of the car is 4.08 mi/h.

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Answer:

\(f(x)\neq g(x)\)

\(when ~x=3\)

\(So, the ~third~ option~is ~your~ answer\)

Answer: The answer is > because it means greater than, and -2.7 is closer to becoming a positive than -3.6.

Answer:

It converges

Step-by-step explanation:

dx/dy = x∧4 + 9x∧21

f(x) = ∫(x∧4 + 9x∧21)dy        0  > f(x) > ∞

= x∧5/5 + 9x∧22/22 + c  

    x = ∞ and x = 0

∴ c = 1 /5 +  9/22 = 27/22

Answer:

34 hours

Step-by-step explanation:

dora has saved $35

A total of $358

$358 - $35 =$323

she need $323 more to save up to $358

she earns $9.50 per hour

$9.50 = 1hr

$323 = x hrs

x = $323 ÷ $9.50

x = 34hours...

The translation of the point, (5, 3) according to the rule, (x, y) → (x - 7.5, y + 6.8), gives the point, (-2.5, 9.8)

A translation transformation is one in which the image of a pre–image is located at a position according to a rule. such that the difference between the image and the pre-image is a change in location.

Given parameters;

The coordinates of the given point = (5, 3)

The rule for the given transformation = (x, y) → (x - 7.5, y + 6.8)

The original coordinates of the point = (5, 3)

The coordinates of the image following the transformation is therefore;

\((5, 3) \: \underrightarrow{ T } \: (5 - 7.5,\: 3 + 6.8) \)

Where;

\(T = T_{ (- 7.5,\: 6.8)}\)

(5 - 7.5, 3 + 6.8) = (-2.5, 9.8)

Which gives;

\((5, 3) \: \underrightarrow{ T_{( - 7.5,\: 6.8)} } \: ( - 2.5,\: 9.8) \)

The transformation of the point (5, 3) according to the rule (x, y) → (x - 7.5, y + 6.8), gives (-2.5, 9.8)

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1 1000 0110 0001 1000 0000 0000 0000. The machine code is a concatenation of the sign bit, the biased exponent, and the mantissa. Therefore, the machine code for -4.375 in 32 bits is 1 1000 0110 0001 1000 0000 0000 0000.

Sign in binary is: 1. We need to first check the sign of the number.-4.375 is a negative number, therefore, the sign bit is Value to the left of the binary point, i.e., integral part in binary is: 100.

First, we take the absolute value of the number, then divide it by 2 until we obtain 0 in the quotient.The remainders of each division, read from bottom to top, give the binary representation of the integral part.

Therefore, the binary representation of the integral part of -4 is 100.9c) Fractional part is: 011. We convert the decimal part to binary by multiplying it by 2 until we obtain a fractional part of 0.

The integer parts of each multiplication, read from top to bottom, give the binary representation of the fractional part. Therefore, the binary representation of the fractional part of 0.375 is 0.011. 9d)

Putting together the sign, integral part, and fractional part is: 1 100 011. The sign is 1 (negative), the binary representation of the integral part is 100, and the binary representation of the fractional part is 011.9e)

Normalize the value in 9d): 1.100011 x 2^-2. We need to place the binary point after the first 1. Then, we shift the binary point to the left until we obtain a number between 1 and Therefore, the normalized form of 1 100 011 is 1.100011 x 2^-2.9f)

Compute the exponent in biased form: 125. The exponent is the number of bits we shift the binary point to the left during normalization.The bias is the value we add to the exponent to obtain its biased form. For 32 bits, the bias is 127. Therefore, the exponent of 1.100011 x 2^-2 is 2 + 127 = 129 in biased form.9g)

Write the machine code in 32 bits for the sign, exponent, and mantissa: 1 1000 0110 0001 1000 0000 0000 0000. The machine code is a concatenation of the sign bit, the biased exponent, and the mantissa. Therefore, the machine code for -4.375 in 32 bits is 1 1000 0110 0001 1000 0000 0000 0000.

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In Utah, if not directly involved in diving activity, motorized vessels and personal watercraft (PWCs) must remain 150 feet from the diver down flags.

The diver down flag is a banner that is used by vessels to indicate that divers are in the water. It is typically a red flag with a white diagonal stripe that is used to indicate the presence of divers in the water. The flag must be at least 12 x 12 inches in size and must be clearly visible from all directions. When the flag is raised, boaters are expected to keep a safe distance from the divers and to take extra precautions to ensure that they do not pose a hazard to the divers.The diver down flag should be used whenever there are divers in the water. This includes scuba divers, free divers, and anyone else who is swimming or diving underwater. The flag should be raised before the divers enter the water and should be lowered when they exit the water. In addition to the flag, divers are required to use other means of indicating their presence in the water, such as lights and audible signals, to ensure that boaters can see and hear them. Motorized vessels and personal watercraft (PWCs) must remain at least 150 feet from the diver-down flag. This means that they must keep a safe distance from the divers and take extra precautions to ensure that they do not pose a hazard to the divers. If a motorized vessel or PWC is directly involved in the diving activity, such as transporting divers to and from the dive site, they may operate closer to the flag, but they must still maintain a safe distance from the divers at all times.

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Answer:

1/14

Step-by-step explanation:

Let A represent the event First person getting red velvet cake
Let B represent the event Second person getting red velvet cake

P(A) = Total number of Red Velvet Cakes ÷ Total Number of Cakes =

6/21 = 2/7

If the first person gets a red velvet cake, then there are 5 red velvet cakes and 20 total cakes

Therefore P(B|A) = Number of red velvet cakes left ÷ total number of cakes left = 5/20 = 1/4

P(A and B) == probability of both getting red velvet cake P(A∩B) = P(A).P(B|A) = 2/7 × 1/4 = 2/28 = 1/14

Answer:

Line C

Step-by-step explanation:

The scatter plot follows line C the most.

Hope this helps! :)

Answer:

D. Each segment of the electorate provides significant support to Mr Quintana

Step-by-step explanation:

From the question, we have the following logic statement;

If those segment that provide significant support to Ms Puerto also provide support to Mr. Quintana then no segment of the electorate that provides significant support to Mr. Quintana provides significant support to Mr. Ramirez

Counter to the If Then Logic structure

At least one segment of the lectorate provides significant support to Mr. Quintana and Mr. Ramirez

Therefore, there is at least one segment that provides support to Mr. Quintana but not to Ms. Puerta

The segments that provide support to Ms. Puerta do not provide support to Mr. Ramirez

Mr. Quintana's support includes those from the supporters of Ms. Puerta and those from the supporters of Mr. Ramirez

Therefore, each segment of the electorate provide significant support to Mr. Quintana.