What would 9x(7x-3)-4x-15
​

Answer:

3x + 1

Step-by-step explanation:

You can always think of "a number" as a variable and adding 1 just means plus 1.

Answer:

  1435.5 m²

Step-by-step explanation:

You want the area of the triangular prism with base side lengths 12 m, 33 m, and 35 m, and height 13 m. The altitude of the base triangle is given as 11.3 m from the longest side.

The area of each triangular base is ...

  A = 1/2bh

  A = 1/2(35 m)(11.3 m) = 197.75 m²

The area of the three rectangular faces will be ...

  LA = (12 m)(13 m) +(33 m)(13 m) +(35 m)(13 m)

  = (13 m)(12 +33 +35 m) = (13 m)(80 m) = 1040 m²

The total area is the sum of the lateral area and the areas of the two bases:

  A = 1040 m² +2(197.75 m²) = 1435.5 m²

The surface area of the triangular prism is about 1435.5 m².

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The process is capable of producing outputs within the specification limits is true.

There are a number of potential reasons for why the process is not meeting the target value. One possibility is that the target value is too ambitious and is not realistic given the current process capability. Another possibility is that there is some inherent variability in the process that is not being accounted for. It is also possible that there are some external factors that are affecting the process, such as changes in the raw materials or the environment.

The design engineers have established an upper specification limit of 22 and a lower specification limit of 18. This means that they are confident that the process is capable of producing outputs within these limits. However, the fact that the process is consistently averaging 19.8 with a standard deviation of 0.5 suggests that there is some room for improvement.

One potential way to improve the process is to focus on reducing the inherent variability. This can be done by identifying and addressing the sources of variability in the process. Another potential way to improve the process is to reduce the target value. This may be necessary if the current target value is not realistic given the process capability.

It is also important to monitor the process over time to ensure that it is remaining within the specification limits. This will help to identify any potential issues that may arise and allow for corrective action to be taken if necessary.

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A.The process is in statistical control.

B.The process is capable of producing outputs within the specification limits.

C.The process is capable of producing outputs within the tolerance limits.

D.The process is capable of producing outputs within the control limits.

E.The process is capable of producing outputs that are normally distributed. The process is capable of producing outputs within the specification limits

which statement concerning this process is true?

The probability that x is less than 5 = 0.45

Discrete probability distribution:

It is a type of probability distribution that displays all the possible values of a discrete random variable accompanying the affiliated probabilities. We can also say that a discrete probability distribution provides the chance of occurrence of every possible value of a discrete random variable.

Discrete probability distribution:

x          = -10      0       10        20

P(X=x) = 0.35  0.10   0.15     0.40

The probability that x is less than 5:

P(X<5) = 1 - P (X = 10) - P(X= 20)

1 - 0.15 - 0.40 = 0.45

The probability that x is less than 5 is = 0.45

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Answer:

So it would take Yolanda 9 hours to drive 495 miles at the same rate.

Step-by-step explanation:

To solve this problem, we can use the formula: distance = rate x time.

We know that Yolanda's rate of driving is 605 miles in 11 hours, so we can find her average speed by dividing the distance by the time:

rate = distance / time

rate = 605 miles / 11 hours = 55 miles per hour

Now that we know Yolanda's average speed, we can use it to find the time it would take her to drive 495 miles at that rate:

time = distance / rate

time = 495 miles / 55 miles per hour = 9 hours

The probability that Ken will use all the toothpaste in the tube is 7.64%.

From the given information,Mean, μ = 0.13 ounceStandard deviation, σ = 0.02 ounceNumber of times Ken brushes his teeth, n = 6.

The amount of toothpaste Ken squeezes out of the tube each time he brushes is independent and can be modeled by a Normal distribution.

From this information, we can obtain that:Mean of toothpaste used in 6 brushes = n × μ = 6 × 0.13 = 0.78 ounceStandard deviation of toothpaste used in 6 brushes = $\sqrt{n}$ × σ = $\sqrt{6}$ × 0.02 = 0.049 ounce.

To find the probability that Ken will use all the toothpaste in the tube, we need to calculate the probability of the amount of toothpaste used in 6 brushes being more than or equal to 0.85 ounce,
which is the total amount of toothpaste in the tube.P(X ≥ 0.85) = P( Z ≥ (0.85 - 0.78) / 0.049) = P(Z ≥ 1.43) = 1 - P(Z < 1.43)Using standard normal distribution table, we find the value of P(Z < 1.43) as 0.9236. Therefore,P(X ≥ 0.85) = 1 - P(Z < 1.43) = 1 - 0.9236 = 0.0764 or 7.64%.

The amount of toothpaste that Ken squeezes out each time he brushes is modeled by a normal distribution with mean 0.13 ounces and standard deviation 0.02 ounces.

The amount of toothpaste squeezed out at each brushing is independent of the previous amount of toothpaste squeezed out. We want to determine the probability that Ken will use all of the toothpaste in a 0.85-ounce tube if he brushes his teeth six times.

To do so, we first find the mean and standard deviation of the amount of toothpaste squeezed out in six brushes. If Ken brushes his teeth six times, then the mean amount of toothpaste squeezed out is nμ = 6(0.13) = 0.78 ounces. If the amount of toothpaste squeezed out at each brushing is independent, then the standard deviation of the amount of toothpaste squeezed out in six brushes is sqrt(6) * 0.02 = 0.049 ounces.

We now want to find the probability that Ken will use all of the toothpaste in the tube.

This is equivalent to finding the probability that the amount of toothpaste squeezed out in six brushes is greater than or equal to 0.85 ounces, which is the total amount of toothpaste in the tube.

If X is the amount of toothpaste squeezed out in six brushes, then we want to find P(X >= 0.85).We can standardize the distribution of X by subtracting the mean and dividing by the standard deviation.

Z = (X - μ) / σ is the standard normal random variable associated with X. In this case, Z has mean 0 and standard deviation 1. We want to find P(Z >= (0.85 - 0.78) / 0.049), which simplifies to P(Z >= 1.43). Using a standard normal distribution table, we can find P(Z < 1.43) = 0.9236. Therefore, P(Z >= 1.43) = 1 - P(Z < 1.43) = 1 - 0.9236 = 0.0764, or 7.64%.Therefore, the probability that Ken will use all the toothpaste in the tube is 7.64%.

Therefore, the probability that Ken will use all the toothpaste in the tube is 7.64%.

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The department's sales per square foot are $51.16 per square foot.

Division is the process of dividing a number by a given number.

Given that, the supermarket had sales last week of $15349, and the area of the department is 300 square feet.

The sales per square foot are:

(total sales)/ (total area)

= 15349/300

= 51.16

Hence, the department's sales per square foot are $51.16 per square foot.

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Answer:

112

Step-by-step explanation:

Vertical angles are always equivalent, so the measure of angle 1 is just 112.

Solution:

We know that:

\(\bullet \ \ \tex\text{Area of triangle:} = \frac{1}{2} \times \tex\text{Base} \times \tex\text{Height}\)

Let the base of the triangle be 11 yd. If we extend the base, it will allow us to find the height of the triangle, which is 8 yd.

Using the formula:

\(\bullet \ \ \tex\text{Area of triangle:} = \frac{1}{2} \times 11 \times 8\)

Now, let's simplify.

\(\bullet \ \ \tex\text{Area of triangle:} = \frac{1}{2} \times 11 \times 8\)

\(\bullet \ \ \tex\text{Area of triangle:} = 11 \times 4\)

\(\boxed{\bold{\tex\text{Area of triangle:} = 44 \ \tex\text{yd}^{2}}}\)

angle has a measure equal to the sum of the the question is ∠DQS.


According to the problem, we need to find an angle whose measure is equal to the sum of the measures of ∠SQR and ∠QRS. We can use the angle addition postulate which states that the measure of an angle formed by two adjacent angles is equal to the sum of their measures.

Let's consider angle ∠DQS. This angle is formed by adjacent angles ∠SQR and ∠QRS. Therefore, according to the angle addition postulate, the measure of angle ∠DQS is equal to the sum of the measures of ∠SQR and ∠QRS.



Thus, we can conclude that the angle ∠DQS has a measure equal to the sum of the measures of ∠SQR and ∠QRS.

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As per the given speed, the ball will cross each other at the time of 5 seconds.

Given,

Two balls are thrown upward from the edge of a cliff 432 ft above the ground. The first is thrown with a speed of 48 ft/s and the other is thrown a second later with a speed of 24 ft/s.

Here we need to find if the ball will cross each other.

Let us find the equation for your first ball and it can be identified by using "f" for fast, since it's thrown at twice the speed of the other.

Here we have given the equation is ft/sec, so g = -32.

So, it can be written as,

=> yf = 1/2gt² + v₀ft + y₀f

Apply the values, then we get,

=> yf = -16t² + 48t + 432

Here we know that the second ball, or "slow" ball, is thrown a second later which means all of t values are shifted to the right by 1 second.

So, here we put (t - 1) instead of t

Then we get,

=> ys = 1/2g(t - 1)² + v₀s(t - 1) + y₀s

We know that, the Gravity remains the same.

So, the value of v₀s will be 24, and y₀s will also be 432 ft.

So, the equation is,

=> ys = -16(t - 1)² + 24(t - 1) + 432

When we compare these then we get,

=> -16t² + 48t + 432 = -16(t - 1)² + 24(t - 1) + 432

=> -16t² + 48t = -16(t² - 2t + 1) + 24(t - 1)

=> -16t²+ 48t = -16t² + 32t - 16 + 24t - 24

=> 48t = 56t - 40

=> 8t = 40

=> t = 5

Therefore, it looks like the balls cross each other at t = 5.

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Answer:

7(x+1)+4-4=2

We move all terms to the left:

7(x+1)+4-4-(2)=0

We add all the numbers together, and all the variables

7(x+1)-2=0

We multiply parentheses

7x+7-2=0

We add all the numbers together, and all the variables

7x+5=0

We move all terms containing x to the left, all other terms to the right

7x=-5

x=-5/7

x=-5/7

The solution to the inequality -32 < -4x is x < 8.

Given the inequality in the question:

-32 < -4x

To solve the inequality -32 < -4x, we need to isolate the variable x.

-32 < -4x

Divide both sides of the inequality by -4.

Note that, if we are dividing by a negative number, the direction of the inequality sign will flip.

Hence:

-32 / -4 > -4x / -4

-32 / -4 > x

8 > x

Next, rewrite the inequality in the standard form, with x on the left side.

x < 8

Therefore, x < 8 is the solution to the inequality.

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Answer:

A. 18x - 3y = 6

Step-by-step explanation:

By taking 3 common from the terms 18x and 3y we get,

3 (6x-3y) = 6

or, 6x - y = 6/3

or, 6x - y = 2

And,

The equation becomes,

y = 6x - 2

The equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.

A finite set of equations for which common solutions are sought is referred to in mathematics as a set of simultaneous equations, often known as a system of equations or an equation system.

An equation is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

By taking 3 commons from the terms 18x and 3y we get,

3 (6x-3y) = 6

6x - y = 6/3

6x - y = 2

The equation becomes,

y = 6x - 2

Therefore, the equation has exactly one solution in common with the equation y=6x-2 will be 18x - 3y = 6. The correct option is A.

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Answer:

parallel is a correct answer

Answer:

Right angle

Step-by-step explanation:

The logical equivalence (p ∨ ~q) ∧ (~p ∨ ~q) ≡ ~q.

1. Start with the given expression: (p ∨ ~q) ∧ (~p ∨ ~q).
2. Apply the distributive law: (p ∧ ~p) ∨ (~q ∧ ~q).
3. Apply the law of contradiction: False ∨ (~q ∧ ~q).
4. Simplify: ~q ∧ ~q.
5. Apply the law of idempotence: ~q.

In this derivation, we used the distributive law to expand the expression and then applied the law of contradiction to simplify it further. Finally, we used the law of idempotence to arrive at the final expression ~q, which proves the logical equivalence.

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In reality, however, the two drugs do not differ. This is an example of a Type I errors.

In statistics, a Type I error, also known as a false positive or alpha error, occurs when a null hypothesis that is actually true is rejected. In the context of the given randomized trial, the null hypothesis states that there is no difference between the efficacy of the two drugs.

However, due to random chance or other factors, the trial yielded a statistically significant difference (with a P value < 0.05) between the drugs, leading to the rejection of the null hypothesis.

In reality, since the two drugs do not actually differ in efficacy, the observed difference is likely due to random sampling variability or experimental error. A Type I error can occur when the significance level (alpha) used in the hypothesis test is set too low, leading to a higher likelihood of rejecting the null hypothesis incorrectly.

It is essential to consider Type I errors and carefully interpret the significance of study findings to avoid drawing erroneous conclusions based on statistical significance alone.

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2 of Spades: There's only one 2 of spades card in the deck, so the probability of choosing the 2 of spades is 1/52.

A Jack: There are 4 Jacks in the deck, so the probability of choosing a jack is 4/52, or 1/13.

A red King: There are 2 red kings in the deck, so the probability of choosing one is 2/52, or 1/26.

A Diamond suit: There are 13 diamond cards in the deck, so the probability of choosing one is 13/52, or 1/4.

The formula for the general nth term of the sequence is αₙ= -3-n.

The given sequence -4,-5,-6,-7,-8,··········· is an arithmetic sequence as all the terms differ by a number -1.

The nth term αₙ of any arithmetic sequence is given by αₙ= α+(n-1) d where α is the first term, d is a common difference and n is the number of terms.

Here, α= -4

         d=α₂-α₁

           = -5+4

           = -1

  ⇒αₙ= -4+(n-1)(-1)

  ⇒αₙ = -4-n+1

  ⇒αₙ  = -3-n

The correct answer is -3-n.

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Answer:Answer is 318

Step-by-step explanation:3 times -6 is -18

                                             28 times 12 is 336

                                             -18 + 336 is 318

             So therefore the answer would be 318.

Answer:

5.6ft squared

Step-by-step explanation:

4x7 = 28 divided by 5 which is 5.6

Answer:

m∠W = 125°

m∠X = 55°

m∠Z = 55°

Step-by-step explanation:

The explanation of angle measures is shown below:-

The shape which is parallelogram WXYZ. m∠Y = 125

A parallelogram represents the shape of quadrilateral in which both opposite sides and opposite angles are similar to each other. One parallelogram diagonals bisect each other. Consecutive angles are also supplementary to a parallelogram.

In WXYZ parallelogram is there

m∠Z + m∠Y = 180° is an angle of Consecutive in a parallelogram is supplementary

m ∠ Z + 125 = 180

m ∠ Z = 180 - 125

m ∠ Z = 55°

m ∠ W which equals to m∠Y where equal angles are Opposite

m∠W = 125°

m ∠ W + m ∠ X = 180°

which is the angle of Consecutive in a parallelogram called supplementary)

m ∠ X + 125 = 180

m ∠ X = 180 - 125

After solving the above equation we will get

m ∠ X = 55°

The magnitude of electric field is 644 N/C and the direction is towards the origin.

Let's start by finding the electric field contribution from the 2 µC charge. The magnitude of the electric field E1 at the origin due to this charge is given by

E1 = k * q / r^2

where k is Coulomb's constant, q is the charge of the point charge, and r is the distance between the point charge and the origin. In this case, q = 2 µC and r = 1 m (the distance between the 2 µC charge and the origin). Plugging in the values, we get

E1 = 9 x 10^9 * (2 x 10^-6) / (1^2) = 18 N/C

The direction of E1 is towards the origin since the 2 µC charge is positive and the electric field lines point away from positive charges and towards negative charges.

Similarly, we can find the electric field contribution from each of the other charges

E2 (due to -1 µC charge) = k * q / r^2 = 9 x 10^9 * (-1 x 10^-6) / (7^2) = -183 N/C (away from the -1 µC charge)

E3 (due to 4 µC charge) = k * q / r^2 = 9 x 10^9 * (4 x 10^-6) / (7^2) = 653 N/C (towards the origin)

E4 (due to -7 µC charge) = k * q / r^2 = 9 x 10^9 * (-7 x 10^-6) / (5^2) = -252 N/C (away from the -7 µC charge)

E5 (due to 5 µC charge) = k * q / r^2 = 9 x 10^9 * (5 x 10^-6) / (7^2) = 408 N/C (away from the 5 µC charge)

Finally, we can find the net electric field at the origin by summing up all the electric field contributions

E = E1 + E2 + E3 + E4 + E5 = 18 - 183 + 653 - 252 + 408 = 644 N/C

The direction of the net electric field is towards the origin since the positive contributions (from the 2 µC and 4 µC charges) outweigh the negative contributions (from the -1 µC, -7 µC, and 5 µC charges).

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The value of the cosine ratio cos(L) is 5/13

The complete question is added as an attachment

Start by calculating the hypotenuse (h) using

h^2 = 5^2 + 12^2

Evaluate the exponent

h^2 = 25 + 144

Evaluate the sum

h^2 = 169

Evaluate the exponent of both sides

h = 13

The cosine ratio is then calculated as:

cos(L) = KL/h

This gives

cos(L) =5/13

Hence, the value of the cosine ratio cos(L) is 5/13

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Q.2: A review of the t-test on the significance of individual independent variable suggests that, based on the p-values. None of the independent variables could be retained. This is because if the p-value is high, it means the significance is low.

Q3: Choose the right option below. Based on the full regression model involving all of the independent variables. VIF for Size = 5.3352, VIF for Fireplace = 10.1873, VIF for bedrooms = 2.7885.

Q.4: Based on VIF values, there is concern for collinearity in this dataset. True

Q5: Based on the normal probability plot, the normality assumption seems to be met. True

Q7: Based on conducting residual analysis the model seems. Adequate.

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Answer:

Half;  twice

Step-by-step explanation:

In a circle, the radius is said to be the distance from the center of the circle to any point on the edge of the circle, it is denoted as "r". The radius is called a radii if it is more than one.. The radius of a circle is half the length of the diameter of a circle because the diameter of a circle is the distance of the line that passes through the center of a circle touching both edges of the circle. It is denoted as "d".

Thus,

2r = d

r = d/2

For example, if the radius of a circle is 10cm, the diameter of the circle will be calculated as: d = 2 * 10 = 20cm. Which means if the radius is 10cm, diameter will be 20cm.

Therefore, the radius of a circle is half the length of its diameter. the diameter of a circle is twice the length of its radius

Answer:

36a + 15a^2 - 3a^3

Step-by-step explanation:

I recommend using a calculator. It helps a lot.

If you're not going to do that, then all you do is multiply the 3a by the 12, tha 5a, and the 1a.