A can of soup weighs
23.5 ounces. The can contains
2.5 servings. How many
ounces are in 1 serving?

Answer:

Option (6)

Step-by-step explanation:

Name f the planes of the figure given,

Plane JKL or plane Z

Plane PSR

Plane PQK

Plane SRL

Plane PSM

Plane QRL

Therefore, the number of planes of the box standing vertical on a table are 6.

Option (6) will be the answer.

The probability of rolling a die and getting a 2, then a 5, is 1/36.

To determine the probability of rolling a die and getting a 2, then a 5, we need to multiply the probabilities of each event happening.

First, let's consider the probability of rolling a die and getting a 2. Since there are six equally likely outcomes when rolling a fair six-sided die (numbers 1 to 6), the probability of rolling a 2 is 1/6.

Now, let's consider the probability of rolling a die and getting a 5. Again, there are six equally likely outcomes, so the probability of rolling a 5 is also 1/6.

To find the probability of both events happening, we multiply the probabilities:

Probability of rolling a 2 and then a 5 = (1/6) * (1/6) = 1/36.

Therefore, the probability of rolling a die and getting a 2, then a 5, is 1/36.

It's important to note that each roll of the die is an independent event, meaning that the outcome of one roll does not affect the outcome of the next roll. Therefore, the probability of rolling a 2 and then a 5 remains constant at 1/36 regardless of previous rolls or the order in which they occur.

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Answer:

a.) 0.5

b.) 0.66

c.) 0.83

Step-by-step explanation:

As given,

Total Number of Batteries in the drawer = 10

Total Number of defective Batteries in the drawer = 4

⇒Total Number of non - defective Batteries in the drawer = 10 - 4 = 6

Now,

As, a sample of 3 is taken at random without replacement.

a.)

Getting exactly one defective battery means -

1 - from defective battery

2 - from non-defective battery

So,

Getting exactly 1 defective battery = ⁴C₁ × ⁶C₂ =  \(\frac{4!}{1! (4 - 1 )!}\) × \(\frac{6!}{2! (6 - 2 )!}\)

                                                                            = \(\frac{4!}{(3)!}\) × \(\frac{6!}{2! (4)!}\)

                                                                            = \(\frac{4.3!}{(3)!}\) × \(\frac{6.5.4!}{2! (4)!}\)

                                                                            = \(4\) × \(\frac{6.5}{2.1! }\)

                                                                            = \(4\) × \(15\) = 60

Total Number of possibility = ¹⁰C₃ = \(\frac{10!}{3! (10-3)!}\)

                                                        = \(\frac{10!}{3! (7)!}\)

                                                        = \(\frac{10.9.8.7!}{3! (7)!}\)

                                                        = \(\frac{10.9.8}{3.2.1!}\)

                                                        = 120

So, probability = \(\frac{60}{120} = \frac{1}{2} = 0.5\)

b.)

at most one defective battery :

⇒either the defective battery is 1 or 0

If the defective battery is 1 , then 2 non defective

Possibility  = ⁴C₁ × ⁶C₂ = 60

If the defective battery is 0 , then 3 non defective

Possibility   = ⁴C₀ × ⁶C₃

                   =  \(\frac{4!}{0! (4 - 0)!}\) × \(\frac{6!}{3! (6 - 3)!}\)

                   = \(\frac{4!}{(4)!}\) × \(\frac{6!}{3! (3)!}\)

                   = 1 × \(\frac{6.5.4.3!}{3.2.1! (3)!}\)

                   = 1× \(\frac{6.5.4}{3.2.1! }\)

                   = 1 × 20 = 20

getting at most 1 defective battery = 60 + 20 = 80

Probability = \(\frac{80}{120} = \frac{8}{12} = 0.66\)

c.)

at least one defective battery :

⇒either the defective battery is 1 or 2 or 3

If the defective battery is 1 , then 2 non defective

Possibility  = ⁴C₁ × ⁶C₂ = 60

If the defective battery is 2 , then 1 non defective

Possibility   = ⁴C₂ × ⁶C₁

                   =  \(\frac{4!}{2! (4 - 2)!}\) × \(\frac{6!}{1! (6 - 1)!}\)

                   = \(\frac{4!}{2! (2)!}\) × \(\frac{6!}{1! (5)!}\)

                   = \(\frac{4.3.2!}{2! (2)!}\) × \(\frac{6.5!}{1! (5)!}\)

                   = \(\frac{4.3}{2.1!}\) × \(\frac{6}{1}\)

                   = 6 × 6 = 36

If the defective battery is 3 , then 0 non defective

Possibility   = ⁴C₃ × ⁶C₀

                   =  \(\frac{4!}{3! (4 - 3)!}\) × \(\frac{6!}{0! (6 - 0)!}\)

                   = \(\frac{4!}{3! (1)!}\) × \(\frac{6!}{(6)!}\)

                   = \(\frac{4.3!}{3!}\) × 1

                   = 4×1 = 4

getting at most 1 defective battery = 60 + 36 + 4 = 100

Probability = \(\frac{100}{120} = \frac{10}{12} = 0.83\)

Answer:

this is since the decimal point moves

Step-by-step explanation:

forget about the decimal point for right now

025

04

-------

0

8

20

0

0

0

+

-----

100

now there are 3 numbers behind the decimal points (2,5,and 4) so put the decimal point where 3 numbers are behind it.

.100 or .1

Answer:

mean dear I cannot get the question??

Answer:

3.65

Step-by-step explanation:

The square root of 2 is 1.4 and the square root of 5 is 2.2 adding that together you get 3.6

Answer/Step-by-step explanation:

1. Given:

m<ABC = 4x°,

m<BCD = 3x°,

m<CDA = 2x°,

m<DAB = 3x°

Sum of quadrilateral = (n - 2)180

Quadrilateral has 4 sides, therefore, n = 4.

Sum of quadrilateral = (4 - 2)180 = 2*180 = 360°

Equation to solve for x would be:

m<ABC + m<BCD + m<CDA + m<DAB = 360

Substituting the given expression for each angle, we have:

4x + 3x + 2x + 3x = 360

12x = 360

Use the above equation to solve for x by dividing both sides by 12

x = 30

Find the measures of all the interior angles by substituting the value of x in each given expression for each angle as follows:

m<ABC = 4x = 4*30 = 120°

m<BCD = 3x = 3*30 = 90°

m<CDA = 2x = 2*30 = 60°

m<DAB = 3x = 3*30 = 90°

[Check: 120 + 90 + 60 + 90 = 360°]

2. <CDA and <ADE form a linear pair. They are supplementary angles.

Since supplementary angles sum up to equal 180°, and <ADE is a supplement of <CDA (60°), therefore:

m<ADE = 180° - 60° = 120°

Answer:

a) 388.03

b) 148.49

c) π/8

Step-by-step explanation:

Find the diagram attached

Let the opposite side be y

Given

a) Hypotenuse = 420

theta = 3π/8 rad

theta = 3(180)/8

theta = 67.5degrees

Using the SOH CAH TOA identity

sin theta = opposite/hypotenuse

sin 67.5 = y/420

x = 420sin67.5

x = 420(0.9238)

x = 388.03

Hence the length of the side opposite to the given angle is 388.03

b) Hypotenuse = 420

theta = 3π/8 rad

theta = 3(180)/8

theta = 67.5degrees

Using the SOH CAH TOA identity

cos theta = adjacent/hypotenuse

cos 67.5 = x/420

x = 420cos67.5

x = 420(0.3827)

x = 148.49

Hence the length of the side adjacent to the given angle is 148.49

c) The sum of angle in the triangle is π

Let the measure of the unknown angle be z

z + 3π/8 + π/2 = π

z + 3π+4π/8 = π

z + 7π/8 = π

z = π - 7π/8

z = (8π-7π)/8

z = π/8

Hence the measure of the other acute angle is π/8

Answer:

B FS

Step-by-step explanation:

Answer:

data set: a ; slope: 1/2

Step-by-step explanation:

If an equation is linear, then the first common differences are all the same.

In table a:

17-12 = 5

22-17 = 5

27-22 = 5

etc.

Equation:

m represents slope

y = mx + b

y = mx + 12 (y-intercept is 12)

17 = 10m + 12

10m = 17-12

10m = 5

m = 10/5 = 1/2

Answer:

One ticket cost $10.90.

Step-by-step explanation:

The total spent was $98.50--food, drinks, admission--everything.

$44.00 was for food and drinks.

We can take the 44 away from the total.

98.50 - 44.00

= 54.50

They spent 54.50 on 5 tickets to get in. Divide to find the cost of one tickets. This assumes that all 5 tickets were the same price.

54.50 ÷ 5 = 10.90



The price of one ticket was $10.90

To make this look like algebra class...

let x = the price of one ticket

5x = the price of 5 tickets

5x + 44 = 98.50

subtract 44

5x = 54.50

divide by 5

x = 10.90

Answer:

The trip took 22 hours

Step-by-step explanation:

1100 miles divided by 50 mph to find an hour which ended up as 22

It should be noted that the value of v in the fraction v/5 - 6 = -1 is 25.

It should be noted that from the information that's illustrated, it was written that:

v/5 - 6 = -1

The goal here is to simply calculate the value of v.

Add +6 to both sides

v/5 - 6 + 6 = -1 + 6

v / 5 = 5

Cross multiply

v = 5 × 5

v = 25

Therefore, it should be noted that the value of v in the fraction v/5 - 6 = -1 is 25.

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Answer:

-9(m+2)+406-7m)

=-16+388

A rectangle's greatest area is 32 square units.

Given:

A parabola's equation is y = 12 - x2, which is an even function

As a result, its rectangular shape is also even at the origin.

We are aware that the area of a rectangle is equal to its length times its width.

Here,

width = y, length = 2x

A = 2x, where (12 -  \(x^{2}\))

⇒ A = 24x - 2\(x^{3}\)

Consider the A derivative with regard to x.

⇒ A' = 24 - 6 \(x^{2}\)

When A' = 0, the area is the largest.

⇒ 24 - 6x2 = 0

⇒ \(x^{2}\) = 4

⇒ x = 2

Replace x with its value in y = 12 -  \(x^{2}\).

⇒ y = 12 - 4

⇒ y = 8

Area = 2(2)(8) = 32

Hence, a rectangle's greatest area is 32 square units.

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Answer:

To locate the number 8 and its opposite on the number line, we can use the given number line:

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

Number 8 is located to the right of zero. Its opposite can be found by moving an equal distance to the left of zero. Since the number line is symmetric about zero, the opposite of 8 would be -8.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑ ↑

So, the opposite of 8 is -8. They are related to zero as equal distances on opposite sides of zero on the number line.

Now, let's address exercises 2-3:

a. To locate the opposite of 9, we need to move an equal distance to the left of zero. The opposite of 9 is -9.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑

b. To locate the opposite of -2, we need to move an equal distance to the right of zero. The opposite of -2 is 2.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑

c. To locate the opposite of 4, we need to move an equal distance to the left of zero. The opposite of 4 is -4.

-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7

↑

So, the opposites of the given numbers are:

9 → -9

-2 → 2

4 → -4

They are related to zero as equal distances on opposite sides of zero on the number line.

Step-by-step explanation:

Correction in point 1: Purchases of supplies for cash during December were $3,300. Supplies on hand at the end of December equal $2,800.

What is Journal Entry?

The act of recording any economic transactions is called a journal entry. An accounting journal lists transactions and displays a company's debit and credit balances. Each recording in the journal entry can be either a debit or a credit, and it can be made up of multiple recordings. The way an accounting transaction is entered into a company's accounting records is through an accounting journal entry.

This question is related to the account and finance subject.

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Answer:

102

Step-by-step explanation:

The median of a data set is found by putting the data set in ascending numerical order and identifying the middle number. If there are an odd number of data values in the data set, the median is a single number. If there are an even number of data values in the data set, the median is the average of the two middle numbers. Sorting the data set for the values entered above we have:

65 , 67 , 78 , 80 , 88 , 102 , 105 , 110 ,119 , 126 , 134

Since there is an odd number of data values in this data set, there is only one middle number. With 11 data values, the middle number is the data value at position 6. Therefore, the median is 102.

Answer:

102

Step-by-step explanation:

1. The median is the quantity that's in the middle of a data set.

2. First, we have to arrange the given data set from least to greatest:

3. Now, when we try and locate the middle number, we can see that the number is 102.

Therefore, the median is 102.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.

Area of a square = side length × side length

Substituting the given side length into the formula:

Area = 3.1 m × 3.1 m

To perform the calculation:

Area = 9.61 m²

It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.

Remember, to find the area of any square, you simply need to multiply the length of one side by itself.

The area of the square with a side length of 3.1 meters is 9.61 square meters.

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Answer:

4(-7+ (1))

Step-by-step explanation:

The null hypothesis cannot be rejected.

Given that,

A study is done to determine the average cost difference between utilizing two different statistical tools to analyze data. 15 data sets are used to do this. Each program performs an analysis on each, and the cost of the analysis is noted.

To test if cost is same, we test mean difference of scores =0

H0: d=0

H0: d != 0

z0 = 0-(-05467) / 0.039976

= 1.367

z score for alpha = .05 is 1.96

Since, z0 < z score, we cannot reject the null hypotheses

Therefore, the null hypothesis cannot be rejected.

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Answer:

Wherer is the pic

Step-by-step explanation:

i cant see the pic send the pic and i promise i will answer as fast as i can

The measure of side KL from triangle KLM is 22 units.

Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.

Given that, triangle HIJ is similar to triangle KLM.

From the similar triangles,

JH/MK =HI/KL

31/13.9 =49/KL

31KL=49×13.9

31KL=681.1

KL=681.1/31

KL=21.97

KL≈22

Therefore, the measure of side KL is 22 units.

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Answer:

90

Step-by-step explanation:

Answer:

It seems like the chat transitioned to a different topic. However, based on the search results, it appears that the query was related to solving distance problems using linear equations. One common application of linear equations is in distance problems, where you can create and solve linear equations to find the distance between two points or the rate of travel. Here's an example problem:

Joe drove from city A to city B, which are 120 miles apart. He drove part of the distance at 60 miles per hour (mph) and the rest at 40 mph. If the entire trip took three hours, how many miles did he drive at each speed?

To solve this problem, you can use a system of two linear equations. Let x be the number of miles driven at 60 mph, and y be the number of miles driven at 40 mph. Then you have:

x + y = 120 (total distance is 120 miles) x/60 + y/40 = 3 (total time is 3 hours)

To solve for x and y, you can multiply the second equation by 120 to eliminate fractions and then use the first equation to solve for one of the variables. For example:

x/60 + 3y/120 = 3 x/60 + y/40 = 3 2x/120 + 3y/120 = 3 x/60 + y/40 = 3 x/60 = 3 - y/40 x = 180 - 3y/2 (from the first equation)

Substitute the expression for x into the second equation and solve for y:

x/60 + y/40 = 3 (180 - 3y/2)/60 + y/40 = 3 3 - 3y/160 + y/40 = 3 3 - 3y/160 = 2.75 -3y/160 = -0.25 y = 20

Substitute y = 20 into the expression for x to get:

x = 180 - 3y/2 x = 120

Therefore, Joe drove 120 - 20 = 100 miles at 60 mph and 20 miles at 40 mph.

Step-by-step explanation:

The sprinter will complete the race in approximately 17.07 seconds.

To calculate the time for the race, we need to consider two parts: the acceleration phase and the constant velocity phase.

Acceleration Phase:

The acceleration of the sprinter is 1.64 m/s², and the distance covered during this phase is 25 m. We can use the equation of motion to calculate the time taken during acceleration:

v = u + at

Here:

v = final velocity (which is the velocity at the end of the acceleration phase)

u = initial velocity (which is 0 since the sprinter starts from rest)

a = acceleration

t = time

Rearranging the equation, we have:

t = (v - u) / a

Since the sprinter starts from rest, the initial velocity (u) is 0. Therefore:

t = v / a

Plugging in the values, we get:

t = 25 m / 1.64 m/s²

Constant Velocity Phase:

Once the sprinter reaches the end of the acceleration phase, the velocity remains constant. The remaining distance to be covered is 100 m - 25 m = 75 m. We can calculate the time taken during this phase using the formula:

t = d / v

Here:

d = distance

v = velocity

Plugging in the values, we get:

t = 75 m / (v)

Since the velocity remains constant, we can use the final velocity from the acceleration phase.

Now, let's calculate the time for each phase and sum them up to get the total race time:

Acceleration Phase:

t1 = 25 m / 1.64 m/s²

Constant Velocity Phase:

t2 = 75 m / v

Total race time:

Total time = t1 + t2

Let's calculate the values:

t1 = 25 m / 1.64 m/s² = 15.24 s (rounded to two decimal places)

Now, we need to calculate the final velocity (v) at the end of the acceleration phase. We can use the formula:

v = u + at

Here:

u = initial velocity (0 m/s)

a = acceleration (1.64 m/s²)

t = time (25 m)

Plugging in the values, we get:

v = 0 m/s + (1.64 m/s²)(25 m) = 41 m/s

Now, let's calculate the time for the constant velocity phase:

t2 = 75 m / 41 m/s ≈ 1.83 s (rounded to two decimal places)

Finally, let's calculate the total race time:

Total time = t1 + t2 = 15.24 s + 1.83 s ≈ 17.07 s (rounded to two decimal places)

Therefore, the sprinter will complete the race in approximately 17.07 seconds.

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Remember that APR is calculated using the following formula:

Where:

• r is the periodic rate

• p is the number of periods in a year

And APY is calculated using the following formula:

Where:

• r is the periodic rate

• p is the number of periods in a year

Compounding daily, well have that

Using such values for p and r, let's calculate the APY

Therefore,

1.65% APR = 1.66% APY

Answer:

6

Step-by-step explanation:

hope it helps

The number 2/5 is both a ratio and a fraction.

The number 2/5 is both a ratio and a fraction. Fractions are meant to signify the numerator and denominator in an expression. in the above expression, we have the denominator as 5 and the numerator as 2.

The expression is also a ratio because it indicates the quantitative relationship between the figures.

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