Please complete problems 2 and 3.
- Show your work.
- Label each answer

Please, refer to the attached image

Answer:

5.6

Step-by-step explanation:

Answer:

5.6

Step-by-step explanation:

5.6 to the nearest 10th

All possible points should be equidistant from center.

so all the values here are possible.

(- 3, 2) ✓

(- 2, - 3) ✓

(2, - 3) ✓

(2, 3) ✓

(-2,3) ✓

(3, - 2) ✓

(- 3, - 2) ✓

The surface area of the triangular prism is, 178 cm²

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

The triangular prism is shown in figure.

Now, We know that;

The surface area of the triangular prism is,

⇒ S.A = 2B + ph

Where, B stands for the area of the base, p represents the perimeter of the base, and h stands for the height of the prism.

Here, We have;

Height = 3 cm

Area of Base is,

⇒ B = 11 × 4

       = 44 cm²

Perimeter of base is,

⇒ p = 2 (11 + 4)

      = 2 × 15

      = 30

Hence, The surface area of the triangular prism is,

⇒ S.A = 2B + ph

          = 2 × 44 + 30 × 3

          = 88 + 90

          = 178 cm²

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5 kilograms (kg) is equivalent to 11.02 pounds (lbs). To convert kilograms to pounds, you need to use the conversion factor of 2.20462 pounds per kilogram.

This means that you can multiply the number of kilograms by this conversion factor to get the equivalent weight in pounds. The conversion from kilograms to pounds is commonly used in daily life, especially for weighing objects such as produce, parcels, and personal belongings.

Understanding how to convert between different units of weight is also important for international travel and trade, where different countries may use different units of measurement.

It's important to note that while kilograms and pounds are both units of weight, they are not interchangeable with other units of measurement such as volume or length. Additionally, some countries use different units of weight such as grams or ounces, so it's important to pay attention to the units used in a given context.

In summary, 5 kilograms is equal to 11.02 pounds, and understanding how to convert between different units of weight is important in daily life, international trade, and other applications that involve measuring weight.

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One milliliter (mL) is equal to 0.033814 fluid ounces (fl oz). Therefore, to convert milliliters to fluid ounces, you need to divide the number of milliliters by 29.5735.

So, the value of 75 mL is equal to 2.53605 fluid ounces.

The metric system uses millilitres as the unit of volume, denoted by the letters ml or mL. One cubic centimetre, or one thousandth of a litre, is equivalent to one millilitre.

Fluid ounces is a measure of liquid; in Britain, 0.0284 of a litre.

Here, we want to convert the 75 mL into fluid ounces.

To convert milliliters (mL) to fluid ounces (oz), you can use the conversion factor of 0.033814.

So to convert 75 mL to ounces:

75 mL x 0.033814 oz/mL

= 2.53605 oz (rounded to five decimal places)

Therefore, 75 mL is approximately equal to 2.53605 fluid ounces.

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The measurements of AB = 20 in and AC = 10 in

Triangles that are similar to each other have corresponding sides that are proportional to one another and corresponding angles that are equal to one another.

Triangles with similar appearances can have varying diameters. In a set of similar triangles, the ratio of corresponding sides will be equal.

Here we have

Two Similar  triangles ABC and CDE  

Since the two triangles are Similar

=> AB/DE = AC/EC = BC/DC

Substitute each measurement of the sides

=> AB/16  = AC/8 = 15/12  

Take, AB/16 = 15/12  

=> AB/16 = 5/4

=> AB = 5(16)/4

=> AB = 20 in  

Take AC/8 = 15/12  

=> AC = 15(8)/12

=> AC = 15(2)/3

=> AC = 10

Therefore,

The measurements of AB = 20 in and AC = 10 in

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Answer:

If there is a 25% chance that a customer who purchases milk will also purchase bread. the probability of a milk purchase is 70%.  the probability that a customer will purchase bread given that they purchase milk is 36%.

How to find the probability?

Using this formula to find the probability that a customer will purchase bread given that they purchase milk

P(B | M) = P(M / B) / P(M)

Let plug in the formula

P(B | M) = 0.25 / 0.70

P(B | M) = 0.3571 ×100

P(B | M) = 36% (approximately)

Therefore the probability is 36%.

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A probability mass function is a function that describes the probability of a discrete random variable taking on each possible value in its sample space.

A probability mass function (PMF) is a function that assigns a probability to each possible value of a discrete random variable. The PMF maps each value to the probability of that value occurring in the random variable's sample space. The probabilities assigned by the PMF must sum to 1, since the random variable must take on one of the possible values in its sample space.

The PMF is used to calculate the expected value, variance, and other statistical properties of the random variable. It is also used to create probability distributions and generate simulations of the random variable. Probability mass functions are commonly used in probability theory, statistics, and other fields that involve discrete random variables.

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15/100

1/10+5/100

step1: di LCM si nye denominator si nye 100..emegbe zã denominator la nàtsɔ ama LCM la ..le ema megbe la, èdzinɛ ɖe edzi kple numerator

10+5/100

afɔɖeɖe 2: ƒo xexlẽdzesifianu la nu ƒu

15/100

ale,1/10+4/100 ƒe ƒuƒoƒo nye 15/100

The researcher's hypotheses for this study are:

H0: The mean birth weight of babies whose mothers did not see a doctor before delivery is equal to or greater than 3000 grams.

Ha: The mean birth weight of babies whose mothers did not see a doctor before delivery is less than 3000 grams.

In this case, the null hypothesis (H0) states that there is no difference in the mean birth weight of babies whose mothers did not see a doctor before delivery and the mean birth weight of 3000 grams. The alternative hypothesis (Ha) states that the mean birth weight of babies whose mothers did not see a doctor before delivery is less than 3000 grams.

To test these hypotheses, the researcher will need to collect data on the birth weights of babies whose mothers did not see a doctor before delivery and compare the mean birth weight to 3000 grams. If the mean birth weight is significantly less than 3000 grams, the researcher will reject the null hypothesis and accept the alternative hypothesis. If the mean birth weight is not significantly less than 3000 grams, the researcher will fail to reject the null hypothesis.

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Answer:

Step-by-step explanation:

Greetings!!

Vertical angles are angles that are opposite of each other when two lines cross. Vertical angles are. congruent, meaning that they have the same angle measure. For example, angle 1 and angle 3 are vertical angles.

Also look at the image attached above

Hope it helps!!!!

The conversion of 180 centimetres in feet is equals to the 5.90 feet. Thus, conversion factor for conversion of units, centimetres to feet is 5.90/180 = 0.032.

A conversion is defined as to convert one set of units into another set of units by multiplication or division. A number or value which used in conversion is called conversion factor. If conversion is necessary, a conversion factor suitable for equivalent value must be used. For example, to convert meters to centimetres, the appropriate conversion value is 100 centimetres equal 1 meter. It includes converting a value from inches to millimeters, for distance from miles to kilometers, feet or other units. How to convert centimeters to feet : One meter is a measure of length and equals approximately 3.28 feet. Thus conversion factor is 3.28 feet. So, 180 meters

= 180 × 3.28 feet

= 590.4 feet --(1)

But we need to convert 180 centimeters to feet. So, change meters to centimeters. As you know, 1 meter = 100 centimeters, so 180 meters = 18000 centimeters --(2). Now from equations (1) and (2),

18500 centimeters = 590.4 feet,

Divide both parts by 100,

=> 180 centimetres = (590.4/100 ) feet

= 5.90 feet

Hence required value is 5.90.

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Based on the information, the probability that the next buyer did not buy apples last week is: 0.23

To calculate the probability that the next buyer did not buy apples last week we must carry out the following mathematical procedure:

Add up all the values.

Now we add the number of buyers who bought apples

Finally, to find the probability we must divide the number of people who bought apples by the total number of buyers.

However, to find the value of those who did NOT buy apples we must subtract this value from 1.

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Answer: $12.50

Step-by-step explanation:

10% of 12.50 is 1.25

add and get 13.75

Therefore, we would anticipate finding 150,000x golden fish throughout the entire lake based on the class average.

Volume is the measure of room within a particular 3D entity in mathematics. For illustration, a fish aquarium measures three feet long by one foot wide by two feet high. The capacity is calculated by multiplying the length, the breadth, and the height, or 3x1x2, that also equals six. The fish aquarium therefore has a 6 cubic foot capacity.

Let's say the class average is "x" yellow fish per liter of water.

If the sample contained 500 liters of water, we can estimate the number of yellow fish in the sample as:

500 * x = 500x

Now that we have an approximation, we can use it to determine the anticipated number of yellow fish in the 150,000,000-liter pool as a whole.

The expected number of yellow fish in the whole lake would be:

(500x / 500) * 150,000,000 = 150,000x

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Answer:

[tex]a = \frac{5 \sqrt{2} }{2} [/tex]

[tex]c = \frac{3 \sqrt{3} }{2} [/tex]

Step-by-step explanation:

The first triangle is an isoceles right triangle, so the length of the hypotenuse is √2 times the length of each leg. So we have:

[tex]a \sqrt{2} = 5[/tex]

[tex]a = \frac{5}{ \sqrt{2} } = \frac{5 \sqrt{2} }{2} [/tex]

The second right triangle is a 30°-60°-90° triangle, so the length of the shorter leg is one-half the length of the hypotenuse, and the length of the longer leg is √3 times the length of the shorter leg. Here, the length of the shorter leg is 3/2, or 1.5, and so we have:

[tex] {( \frac{3}{2}) }^{2} + {c}^{2} = {3}^{2} [/tex]

[tex] {c}^{2} = \frac{27}{4} [/tex]

[tex]c = \frac{3 \sqrt{3} }{2} [/tex]

5/6 can be expressed as 83% in percentage form.

Percentages are a way of expressing a fraction as a portion of 100. This makes it easier to compare fractions and understand their relative sizes. In this case, we will be converting the fraction 5/6 into a percentage.

To convert 5/6 into a percentage, we need to first divide the numerator (top number) by the denominator (bottom number) and then multiply the result by 100. This will give us the percentage equivalent of the fraction.

So, let's do the math:

5 ÷ 6 = 0.83333...

We can round this to two decimal places, giving us:

0.83

Now, we need to multiply this by 100 to convert it into a percentage:

0.83 × 100 = 83%

It's important to remember that percentages are a way of expressing a portion of 100. So, when we say that 5/6 is 83%, we are saying that 5/6 is equivalent to 83 out of 100. This means that if we were to divide something into 100 equal parts, 83 of those parts would be equivalent to 5/6.

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Answer:

D.  (39.6) or 39.0

Step-by-step explanation:

See the attached worksheet.

Two right triangles are formed in the diagram.  Use the pythagorean theorem on both, starting with the lower triangle, since two of the sides are known and the third (d) may be calculated.  

1.  From the first (bottom) triangle, we find that d is 36.66.

2.  Using this value of d in the upper triangle provided a length for x of 39.6, closest to answer option D at 39.0

Answer:2

Step-by-step explanation:

Positive correlation means that both variables tend to increase (or decrease) together. Thus, Option A is the answer.

Positive correlation refers to a relationship between two variables in which an increase in one variable is associated with an increase in the other variable. Negative correlation, on the other hand, refers to a relationship in which an increase in one variable is associated with a decrease in the other variable. No correlation means that there is no relationship between the two variables.

To determine the strength of a correlation, we can use a statistical measure called the correlation coefficient, which ranges from -1 to 1. A correlation coefficient of 1 indicates a perfect positive correlation, a correlation coefficient of -1 indicates a perfect negative correlation, and a correlation coefficient of 0 indicates no correlation.

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Answer: 16

Step-by-step explanation:

48/3=16

Answer: x= 20.3333 degress

Step-by-step explanation:

61 degrees=3x

3x=61 degrees

x=61 degrees/3

x=20.3333 degrees

The probability of drawing an even number and then a diamond out of the deck is 9. 8 %

The probability of drawing an even number out of a standard deck of cards is :

= Number of even numbers / Number of total numbers

= 20 / 52

= 5 / 13

The probability of drawing a diamond, assuming the even picked was not a diamond, is :

= Number of diamond cards / 51 cards

= 13 / 51

The probability of both :

= 5 / 13 x 13 / 51

= 9. 8 %

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Full question is :

What is the probability of drawing an even number then drawing a diamond out of the deck.

Answer:

5 × 3.25 (3 1/4)=16.25 (16 1/4)

Step-by-step explanation:

If each batch requires 3 1/4 cups, and she bakes it repeatedly 5 times, then you multiply 3 1/4 by 5 to get 16 1/4.

The answer is 16 1/4 cups of flour she will use.

Answer:

To find out how much flour Kristen used in total, we can start by multiplying the amount of flour per batch by the number of batches.

First, we need to convert the mixed number 3 1/4 to an improper fraction, which is 13/4.

So, the amount of flour per batch is 13/4 cups.

To find out how much flour Kristen used in total for 5 batches of cookies, we can multiply the amount of flour per batch by the number of batches:

13/4 cups per batch x 5 batches = 65/4 cups

We can simplify this fraction by dividing both the numerator and denominator by 5, which gives us:

65/4 ÷ 5/1 = 13/4 ÷ 1/1 = 13/4 cups

Therefore, Kristen used 13 and 1/4 cups of flour in total for 5 batches of cookies.

A definite integral is an integral of a function over a closed interval. An improper integral is a definite integral that has at least one of its limits of integration set at infinity or an interval of integration that is infinite.

This can happen when the domain of the function is infinite or when one of the limits of integration is infinite. In this case, the integral can either diverge (no finite answer) or it may converge to a finite value. In either case, it is an improper integral.

A definite integral is an integral of a function over a closed interval, taking the form of the definite integral: ∫ a b f(x)dx. This means that the function is integrated from the lower limit of “a” to the upper limit “b”. An improper integral is a definite integral where either one of the limits of integration is set at infinity or the interval of integration is infinite. This can happen when the domain of the function is infinite, meaning that the function exists and is defined for all real numbers, or when one of the limits of integration is infinite. In this case, the integral can either diverge (no finite answer) or it may converge to a finite value. In either case, it is an improper integral, and it must be treated differently than a regular definite integral.

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Using the ratios we know that out of 102 cans, 34 cans will be of green beans that John will use.

In mathematics, a ratio shows how frequently one number appears in another.

For instance, the ratio of oranges to lemons in a fruit plate would be eight to six if there were eight oranges and six lemons.

Oranges make up 8:14 of the total fruit, whereas lemons make up 6:8 of the total fruit.

If you enter this into a calculator, the result will come out as 0.6 decimal.

In other words, 3/5 is equal to any two numbers that divide to provide the same result.

So, the total cans that John wants to use:
102

Then, the ratio of pumpkin to green beans:
4:2

Sum: 4+2 = 6

Then, out of 102 cans, the cans of green beans would be:

= 102 * 2/6

= 102 * 1/3

= 34

Therefore, using the ratios we know that out of 102 cans, 34 cans will be of green beans that John will use.

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We can convert milliliters to teaspoons using the formula 1 milliliters = 0.202 teaspoons as per the standard US unit conversion.

The milliliters is the unit of volume. A teaspoon is likewise a volume unit, however it is a smaller unit and usually it is used on the dinner tables.

As per the standard conversion rates, one milliliters is equal to 0.202 US teaspoons.

As a consequence, we may use the unit conversion concept to describe the connection.

One milliliter is equivalent to 0.202 US teaspoons.

For instance, 8 milliliters is equal to 1.61 teaspoons.

As a result, we now have a standard formula for calculating the value of volume in small amount in teaspoons to milliliters and milliliters to teaspoons.

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To generate a slope field, use an online slope field generator tool by specifying the differential equation and the range of values for the independent and dependent variables.

A slope field, also known as a direction field, is a visual representation of the solution curves of a differential equation. It shows the direction of the solution curve at various points in the plane, which can help in understanding the behavior of the solution.

To generate a slope field, one can use an online tool that allows specifying the differential equation and the range of values for the independent and dependent variables. The generator then plots the direction vectors at each point in the plane based on the slope of the differential equation at that point.

Slope field generators are commonly used in the study of differential equations to visualize and better understand their solutions and behaviors.

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The system of equation is 100x + 72y = 1760 and 97x + 72y = 1718. The special price is $14 for hardcover books and $5 for paperback books.

Equations are declarations of equality between two mathematical expressions containing one or more variables. A linear equation is one in which the maximum power of the variable is one. Any arithmetic equation can be solved using linear equations, which can also be used to find the precise value or root of the variable that answers the question.

Let us suppose the price of hardback covers = x.

Let us suppose the price of paperback covers = y.

Given that, Mr. Howard purchased 100 new hardcover books and 72 new paperback books, which cost a total of $1,760.

100x + 72y = 1760........(1)

He also purchased 97 new hardcover books and 72 new paperback books for the adult fiction section, spending a total of $1,718.

97x + 72y = 1718.........(2)

The system of equation to describe the situation is:

100x + 72y = 1760.

97x + 72y = 1718

To find the solution subtract the two equations:

100x + 72y = 1760.

- (97x + 72y = 1718)

Thus,

3x = 42

x = 14

Substitute the value of x in equation 1:

100(14) + 72y = 1760

1400 + 72y = 1760

72y = 360

y = 5

Hence, the special price is $14 for hardcover books and $5 for paperback books.

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