Solve the equation using either addition or substitution. Show all your work

Answer:

x =  √ 40

Step-by-step explanation:

Answer:

Step-by-step explanation:

hope it helps make brainliest

Answer:

42 minutes

Step-by-step explanation:

18/3= 6

6*7=42

The probability of selecting a value at random and discovering that it has a value of less than 395 pounds is 0.3085.

a. The area between 415 pounds and a mean of 400 pounds is:

0.9332 - 0.5 = 0.4332.

b. The area between the mean and 395 pounds is:

0.5 - 0.3085 = 0.1915

c.The probability of selecting a value at random and discovering that it has a value of less than 395 pounds is 0.3085.

Given the mean of a normal probability distribution as 400 pounds and the standard deviation as 10 pounds.

We have to calculate the area between 415 pounds and a mean of 400 pounds, the area between the mean and 395 pounds, and the probability of selecting a value at random and discovering that it has a value of less than 395 pounds.

a. What is the area between 415 pounds and a mean of 400 pounds?

The Z-score can be calculated as follows:

Z = (x - μ) / σ

= (415 - 400) / 10

= 1.5

From the Z-table, the area to the left of 1.5 is 0.9332.

Therefore, the area between 415 pounds and a mean of 400 pounds is:

0.9332 - 0.5 = 0.4332.

b. What is the area between the mean and 395 pounds?

The Z-score can be calculated as follows:

Z = (x - μ) / σ

= (395 - 400) / 10

= -0.5

From the Z-table, the area to the left of -0.5 is 0.3085.

Therefore, the area between the mean and 395 pounds is:

0.5 - 0.3085 = 0.1915.

c. What is the probability of selecting a value at random and discovering that it has a value of less than 395 pounds?

The Z-score can be calculated as follows:

Z = (x - μ) / σ

= (395 - 400) / 10

= -0.5

From the Z-table, the area to the left of -0.5 is 0.3085.

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Answer:

x= 8/5

Step-by-step explanation:

Let's solve your equation step-by-step.

1

3

(x+3)+

1

6

=

1

2

(x−1)−(x−3)

Step 1: Simplify both sides of the equation.

1

3

(x+3)+

1

6

=

1

2

(x−1)−(x−3)

1

3

(x+3)+

1

6

=

1

2

(x−1)+−1(x−3)(Distribute the Negative Sign)

1

3

(x+3)+

1

6

=

1

2

(x−1)+−1x+(−1)(−3)

1

3

(x+3)+

1

6

=

1

2

(x−1)+−x+3

(

1

3

)(x)+(

1

3

)(3)+

1

6

=(

1

2

)(x)+(

1

2

)(−1)+−x+3(Distribute)

1

3

x+1+

1

6

=

1

2

x+

−1

2

+−x+3

(

1

3

x)+(1+

1

6

)=(

1

2

x+−x)+(

−1

2

+3)(Combine Like Terms)

1

3

x+

7

6

=

−1

2

x+

5

2

1

3

x+

7

6

=

−1

2

x+

5

2

Step 2: Add 1/2x to both sides.

1

3

x+

7

6

+

1

2

x=

−1

2

x+

5

2

+

1

2

x

5

6

x+

7

6

=

5

2

Step 3: Subtract 7/6 from both sides.

5

6

x+

7

6

−

7

6

=

5

2

−

7

6

5

6

x=

4

3

Step 4: Multiply both sides by 6/5.

(

6

5

)*(

5

6

x)=(

6

5

)*(

4

3

)

x=

8

5

Answer:

There will be 225 cars on the lot.

A car dealership has 180 cars on their lot. If they increase their inventory be 25%, how many cars will be on the lot?

25/100 * 180

= 5 * 9 = 45

Therefore:

180 + 45 = 225 cars

Answer:

There will be 225 cars on the lot.

There are a total of 9 possible sums. Suppose, the cards in the first set are 4, 5, and 6.

Similarly, the cards in the second set are 5, 6, and 7. A total of nine cards are there. If we choose one card from the first set and one card from the second set, then we get a total of nine possible pairs.

Hence, the sum of these pairs can be 4 + 5, 4 + 6, 4 + 7, 5 + 5, 5 + 6, 5 + 7, 6 + 5, 6 + 6, and 6 + 7. Therefore, there are nine possible sums possible.

Additionally, there are three possibilities in the first set (4, 5, and 6) and three possibilities in the second set (5, 6, and 7).

This means that there are 3 × 3 = 9 possible pairs of cards that we can choose, so there are 9 possible sums.We can list all of these sums as follows:4 + 5 = 96 + 5 = 116 + 5 = 116 + 6 = 127 + 5 = 127 + 6 = 137 + 7 = 14. Therefore, there are a total of 9 possible sums.

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Answer:

Step-by-step explanation:

(a) The center of the circle is also the circumcenter of the triangle PQR.

Since ΔPQR is equilateral, all sides are equal, therefore opposite angles are also congruent:

Sum of the three angles is 360° as cover the full circle.

Each angle measure is:

(b) Each side is 16 cm and the radius is 12 cm.

The distance of the midpoint M of PQ from the center O is perpendicular bisector of ΔPOQ.

The segment MO is:

ΔXYZ is isosceles with:

(a) The altitude of ΔXYZ is a perpendicular bisector of YZ. h = XM is the altitude

Find h:

(b) Note the ∠ZXM is half of the ∠ZOM as both the angles intercept half of the arc ZY and ∠ZOM is a central angle.

Find ∠ZXM:

Find ∠ZOM:

Find the measure of the radius:

Find the measure of the diameter:

If dimensions of the globe that is 16 inches in diameter were reduced by half, then its volume would be [tex]$V= 267.9 \text{ in}^{3}$[/tex]

The volume of an object is a measure of the amount of space occupied by that object.

Here given that originally diameter was 16 inches but then dimensions of the globe was reduced by half

The new diameter is equal to

[tex]$$D=16 / 2=8 \mathrm{in}$$[/tex]

Hence radius is equal to

[tex]$$r=8 / 2=4 \mathrm{in}$$[/tex]

The volume of the reduced globe is

[tex]$V=\frac{4}{3}(\pi)(r)^{3}$[/tex]

[tex]$V=\frac{4}{3}(3.14)(4)^{3}$\\[/tex]

[tex]$V= 267.9 \text{ in}^{3}$[/tex]

If dimensions of the globe that is 16 inches in diameter were reduced by half, then its volume would be [tex]$V= 267.9 \text{ in}^{3}$[/tex]

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Answer:

267.9 in3

Step-by-step explanation:

I took the test and got it right!

Answer:

The height is 6.3

Step-by-step explanation:

Pythagorean Theorm: a² + b² = c²

5² + b² = 8²

25 + b² = 64

b² = 39

b = 6.2449979984

Answer:

-5/4 is the slope of the line.

Given z-score is z = 2.58 and the null hypothesis isH0: p = 0.85, where p is the true proportion, and we need to find the p-value.

We know that for a two-tailed test, the p-value is the probability that a z-score is greater than or equal to the absolute value of the calculated z-score or less than or equal to its negative value. So, the p-value for a two-tailed test is: p-value = P(z ≥ 2.58) + P(z ≤ -2.58)  ..............(1) Here, z = 2.58 represents the upper critical value, and the negative of it is the lower critical value (z = -2.58)

As the given hypothesis is a two-tailed test, we need to calculate the probabilities for both critical values. From the standard normal distribution table, the probabilities for these critical values are:

P(z ≥ 2.58) = 0.0049 (approx.)  P(z ≤ -2.58) = 0.0049 (approx.)

Substituting these values in equation (1), we get: p- value = 0.0049 + 0.0049 p-value = 0.0098Hence, the p-value is 0.0098 (approx.)

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do it in your own answer

Answer:

27/50 is the fraction.

Step-by-step explanation:

Answer:

(1, 2.5 (or 3/2))

Step-by-step explanation:

It's the point the two lines meet

Answer:

b

Step-by-step explanation:

Answer:

The answer is the Last one

The calculated value of the current price of the stock is $75

From the question, we have the following parameters that can be used in our computation:

Growth = 5%

Required return = 12%

Last dividend payment = $5

The dividend is calculated as

D = Last dividend payment * (1 + Growth )

So, we have

D = 5 * (1 + 5%)

Evaluate

D = 5.25

the current price of the stock is calculated as

Price = D/(r - g)

So, we have

Price = 5.25/(12% - 5%)

Evaluate

Price = 75

Hence, the current price of the stock is $75

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The expectation (mean) of the company's daily loss due to blackouts is $200, and the variance is $350.

To compute the expectation of the company's daily loss, we multiply each possible loss value by its corresponding probability and sum them up. In this case, we have three possible loss values (0, 1, and 2) with their respective probabilities (0.7, 0.2, and 0.1). Multiplying each loss value by its probability and summing them gives us the expected value of $200.

To calculate the variance, we need to find the squared differences between each possible loss value and the expected value, multiply them by their respective probabilities, and sum them up. Squaring the differences ensures that negative differences do not cancel out positive differences. In this case, the variance is calculated as (0 - 200)^2 * 0.7 + (1 - 200)^2 * 0.2 + (2 - 200)^2 * 0.1, resulting in a variance of $350.

The expectation and variance provide useful measures of the central tendency and variability, respectively, of the company's daily loss due to blackouts.

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Answer:

Subtract 23 from both sides

Step-by-step explanation:

This is how algebra works, to get a variable by itself you have to do the opposite to both sides. Hope this helped.

Answer:

It's D: subtract 23 from both sides of the equation because inverse operations  

Step-by-step explanation:

Answer:

Step-by-step explanation:

-4m≥96

-m≥24

m≤-24

Step-by-step explanation:

area: 28/4=7

7x7=49

diagonal=square root 7²+7²

9.89949

9.90

hope it can help you

Answer:

radius = 62 cm

Step-by-step explanation:

radius = diameter/2

radius = 124/2 = 62 cm

Answer:

the radius 62

Step-by-step explanation:

the radius is really just the diameter split in half.

So, 124/2 = 62

Answer:

Length is 138 ft, area is 412 ft

Step-by-step explanation:

The length is determined by the perimeter, so add both side of the perimeter together, and you have your length. Area is determined by perimeter + Length, to add both sides of perimeter and length and you get 412 ft.

Answer:

Radius = r

Diameter = 2r

Circumference = 2πr

Area = πr²

a diameter of a circle is a line drawn through the center of a circle.

The given system y(0) = x(t)sin(wt) is linear, time-invariant, and causal. It satisfies the properties of superposition and homogeneity, exhibits the same time shift in the output as in the input, and the output at any given time depends only on the current and past values of the input.

a) Linearity: A system is linear if it satisfies the properties of superposition and homogeneity. In this case, the system is linear because it satisfies both properties. The input signal x(t) can be scaled or added together, and the corresponding output y(t) will also be scaled or added accordingly.

b) Time-invariance: A system is time-invariant if a time shift in the input signal results in the same time shift in the output signal. In this case, the system is time-invariant because shifting the input signal x(t) by a time delay will result in the same time delay in the output signal y(t).

c) Causality: A system is causal if the output at any given time depends only on the current and past values of the input. In this case, the system is causal because the output y(t) at any time t depends only on the values of the input x(t) for t' ≤ t.

In conclusion, the given system y(0) = x(t)sin(wt) is linear, time-invariant, and causal based on the justification provided above.

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Answer:

I think it is A

Step-by-step explanation:

Answer:

59

Step-by-step explanation:

[tex](12*3)-5*(-4)+3=59[/tex]

Juan should order approximately 1,813 T-shirts from his China supplier at a time.

This inventory management problem can be categorized as the EOQ (Economic Order Quantity) model with continuous demand distribution. In this case, the demand for T-shirts is approximately normally distributed, and the EOQ model assumes a continuous demand pattern.

In order to calculate the optimal order quantity (EOQ), we can use the following formula:

EOQ = ✓((2 * D * S) / H)

where:

D = Annual demand (mean) = 30 T-shirts/day * 365 days/year = 10,950 T-shirts/year

S = Ordering cost per order = $150

H = Holding cost per unit = 20% of wholesale cost = 0.2 * $5 = $1

EOQ = ✓((2 * 10,950 * 150) / 1)

= ✓(3,285,000)

≈ 1,812.99

Therefore, Juan should order approximately 1,813 T-shirts from his China supplier at a time.

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