U={ positive integer between 9 and 21} P={odd numbers} Given that P and Q are subsets of U a. List all the members of P, Q and U b. Illustrate the information on a Venn diagram c. Find P1 and Q1​

Answer:

As 1000g=1 kg ⟹1g=

1000

1

​

 kg.

26 kg 50 g.

=26 kg+50 g

=26 kg+50(

1000

1

​

)kg.

=26+0.05 kg.

=26.05 kg.

Answer: 26kg, 0.045kg

Step-by-step explanation:

The Approximate values of the five number summary are ;

(i) the Minimum is 10 ,

(ii) the First quartile is 30 ,

(iii) the Third Quartile is 80 ,

(iv) the Median is  55 ,

(v) the Maximum is  100 .

The values of the data set are : {10 ,15 ,20 ,25 ,30 ,35 ,40 ,45 ,50 ,55 ,60 ,65 ,70 ,75 ,80 ,85 ,90 ,95 ,100 } ;

The Five number summary consists of the minimum , maximum , first quartile , third quartile and the median .

(i) the Minimum of the data set is = 10 ;

(ii)  we split the data set into , 2 halves ;

that means ;  {10 ,15 ,20 ,25 ,30 ,35 ,40 ,45 ,50 }  and {60 ,65 ,70 ,75 ,80 ,85 ,90 ,95 ,100 } ;

the first quartile lies in the lower half : {10 ,15 ,20 ,25 ,30 ,35 ,40 ,45 ,50 }  ;

So , first quartile (Q₁) = 30 ;

(iii) the third quartile (Q₃) lies in the upper half : {60 ,65 ,70 ,75 ,80 ,85 ,90 ,95 ,100 } ;

So , Q₃ = 80 ;

(iv) the total number of terms in the set is = 19 ;

So , the median is = tenth term = 55 ;

(v) the maximum of the data set is = 100 .

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Answer:

x = 62

Step-by-step explanation:

2x ÷ 2 = 124 ÷ 2

x = 124 ÷ 2 = 62

The expressions, in terms of t, for each vehicle so that the vehicles start separated and meet at 10 seconds is:

Tractor's position = Vt * t

Scooter's position = Vs * t

Let's assume that the starting point for both the tractor and the scooter is at "0". We can then write the expressions for their positions in terms of time "t" as follows:

For the tractor:

Tractor's speed = Vt

Tractor's position = Vt * t

For the scooter:

Scooter's speed = Vs

Scooter's position = Vs * t

Now, as both the vehicles meet at 10 seconds, we can write the equation:

Vt * 10 = Vs * 10

The above equation represents the position of both the vehicles at 10 seconds. If we assume the speed of the tractor and the scooter to be constant, then the equation gives us the relationship between their speeds.

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Zachariah has a higher ratio of American stamps than Khai because 7 over 12 is less than 15 over 24.

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The complete expression in the blank is cos (56°) = sin(34°)​

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

cos (56°) = sin(°)​

The blank expression can be calculated as

When x + y = 90;

sin(x) = cos(y)

Using the above as a guide, we have the following:

Blank + 56 = 90

Evakuate the like terms

Blank = 34

So, we have

cos (56°) = sin(34°)​

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Answer: 77

Step-by-step explanation: to find the radius divide the circumference by 2.

A sample size of 44 is needed to assure with 95% confidence that the sample mean will not differ from the population mean by more than 2.5 units.

To find the sample size needed to assure with 95% confidence that the sample mean will not differ from the population mean by more than 2.5 units, we can use the formula:

n = [ (z * σ) / E ]^2

where n is the required sample size, z is the critical value for the desired confidence level (95% confidence level corresponds to a z-value of 1.96), σ is the population standard deviation (given as the square root of the variance, which is √(70) ≈ 8.37), and E is the maximum error, or the maximum difference between the sample mean and population mean that we are willing to tolerate (which is given as 2.5 units).

Substituting the given values into the formula, we get:

n = [ (1.96 * 8.37) / 2.5 ]^2

n ≈ 43.48

Rounding up to the nearest whole number, we get a required sample size of n = 44.

Therefore, a sample size of 44 is needed to assure with 95% confidence that the sample mean will not differ from the population mean by more than 2.5 units, assuming a normal distribution with a population variance of 70.

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scores on a certain test are normally distributed with a variance of 70 . a researcher wishes to estimate the mean score achieved by all adults on the test. find the sample size needed to assure with 95 percent confidence that the sample mean will not differ from the population mean by more than 2.5 units.

Answer: 1/9 is the fraction form

Step-by-step explanation:

Answer:

1/9

Step-by-step explanation:

[tex]3^{-2}[/tex]

= 1/[tex]3^{2}[/tex]

= 1/9

Since the research company is making a claim about the proportion of college students who shop online and Jamila is taking a sample of college students to test this claim, she should use a one-proportion z-test.

A one-proportion z-test is used to test whether the proportion of successes in a sample is significantly different from a hypothesized proportion. Here, the hypothesized proportion is 75% (the claim made by the research company) and the sample proportion is 120/200 = 0.6.

Jamila can use the one-proportion z-test to determine whether the difference between the sample proportion and the hypothesized proportion is statistically significant. The null hypothesis is that the sample proportion is equal to the hypothesized proportion (i.e., p = 0.75), and the alternative hypothesis is that the sample proportion is not equal to the hypothesized proportion (i.e., p ≠ 0.75).

Based on the sample size and the fact that the population standard deviation is not known, Jamila should use the normal approximation to the binomial distribution to perform the one-proportion z-test.

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The mean number of days to maturity for dollars invested in these five money market funds is approximately 8.95 days.

To calculate the weighted mean of the days to maturity, we need to multiply each value of days to maturity by its corresponding dollar value, sum the products, and divide the result by the total dollar value.

The calculation for the weighted mean is as follows:

Weighted Mean = (D1 x V1 + D2 x V2 + D3 x V3 + D4 x V4 + D5 x V5) / (V1 + V2 + V3 + V4 + V5)

where D represents the days to maturity and V represents the dollar value.

Using the given values, we can plug them into the formula and get:

Weighted Mean = (15 x 15 + 11 x 10 + 7 x 25 + 5 x 15 + 4 x 10) / (15 + 10 + 25 + 15 + 10)

Weighted Mean = 8.95 (rounded to two decimal places)

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A recipe for flapjacks uses only syrup sugar butter and oats in the ratio 1:2:2:4. Using this recipe 250g of syrup are needed to make 12 flapjacks. The quantity of oats needed to make 18 of these flapjacks is 375g.

The recipe for flapjacks has a ratio of syrup to sugar to butter to oats of 1:2:2:4. This means that for every 1 unit of syrup, there are 2 units of sugar, 2 units of butter, and 4 units of oats.

We know that 250g of syrup are needed to make 12 flapjacks. To find out how much oats are needed to make 18 flapjacks, we can set up a proportion:

syrup: sugar: butter: oats = 1:2:2:4

250g:x = 12:18

To solve for x, we can cross-multiply and simplify:

250g * 18 = 12x

4500g = 12x

x = 375g

Therefore, we need 375g of oats to make 18 flapjacks using this recipe.

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Answer:

Step-by-step explanation:

Add all the number of goals and then divide by 10.

The width of the bedroom is approximately 7.32 feet.

A rectangle is a four-sided figure with opposite sides being equal and parallel. The area of a rectangle is given by multiplying the length and width of the rectangle.

Let's assume that the width of the bedroom is 'x' feet. We know that the length of the room is 5 feet longer than its width. Therefore, the length of the room will be (x+5) feet.

Now, we can use the given area of the bedroom to set up an equation:

Area of rectangle = Length x Width

84 = (x+5) x x

Simplifying this equation, we get:

84 = x² + 5x

Rearranging, we get:

x² + 5x - 84 = 0

This is a quadratic equation that can be solved using the quadratic formula:

x = (-b ± √(b² - 4ac))/2a

In this case, a = 1, b = 5 and c = -84. Substituting these values in the formula, we get:

x = (-5 ± √(5² - 4(1)(-84)))/2(1)

Simplifying this, we get:

x = (-5 ± √721)/2

We can ignore the negative root since the width of the bedroom cannot be negative. Therefore, the width of the bedroom is:

x = (-5 + √721)/2

x ≈ 7.32 feet

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Part A: The  inequality to find the possible number of students, n, who ate the school lunch n > 542 students

Part B: The number of students, that possibly eat lunch at school is 542 or more students

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

Part A; The number of students who bring lunch, B > 485 students

The number of students who eat lunch in school, E = B + 57

∴ E > 485 + 57

The number of students who can possibly eat lunch in school;

E > 542 students

Part B;

The number of students, n, that possibly eat lunch at school, are;

n = 542 or more students.

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Answer:

there is no solution

Step-by-step explanation:

Amount of iced-tea consumed during party was 92 cups, which is equivalent to 23 quarts. It's important to note difference between volume units such as cups and quarts, and the conversion factor between them.

To determine the number of cups of iced-tea that were consumed during the party, we need to subtract the amount that remained from the total amount that was in the drink dispenser at the start of the party.

One cup of iced tea is equal to 1/16 of a quart, so 7 cups is equal to

7 * (1/16) = 7/16 quarts.

Thus, the total amount of iced tea that was consumed during the party is 912 quarts -

7/16 quarts = 912 - 7/16

= 912 - 7 * (1/16)

= (912 * 16 - 7 * 1) / 16

= 1476 / 16

= 92.25 cups, rounded down to the nearest whole number, which is 92 cups.

It is important to note that the answer is given in cups and not quarts. Quarts is a unit of volume and cups is a unit of volume as well, but they are not equivalent. 1 quart is equal to 4 cups. If we wanted to express the amount of iced tea consumed in quarts, we would multiply the answer by 1/4.

In conclusion, the number of cups of iced tea consumed during the party is 92 cups, and if we express this in quarts it is equivalent to

92 * (1/4) = 23 quarts.

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The expression 24a+(-26b)-13a+12b is equivalent to 11a-14b.

What is algebraic expression ?

An algebraic expression is a combination of variables, numbers, and mathematical operations, such as addition, subtraction, multiplication, and division. It can be used to represent a mathematical relationship or formula and can be simplified or evaluated using algebraic rules.

Examples of algebraic expressions include "3x + 4y", "2a^2 - 5b", and "(x + 3)(x - 2)".

Given expression ,

24a+(-26b)-13a+12b

= 24a - 13a +12 b - 26b

= 11a - 14b

Therefore, The expression 24a+(-26b)-13a+12b is equivalent to 11a-14b.

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Answer:

Step-by-step explanation:

2, there are 4, making it the most.

Answer:

2

Step-by-step explanation: this is because the plus sign splits the terms so simply 2 terms

Answer:x=251

Step-by-step explanation:

Step 1: Subtract 8 from both sides of the equation.

Explanation: Subtracting 8 from both sides of the equation keeps the equality balanced.

Step 2: x = 251

Explanation: Subtracting 8 from both sides of the equation gives us

x = 259 - 8 = 251.

Answer:

Step-by-step explanation:

x = -251

Answer:

The maximum of a set is the largest of a set.
arrange the terms in ascending order, 1.5, 3, 27.
take the biggest element of the ascending data set, which Is 27.

Step-by-step explanation

I tried my best I’m not the best at math. But I felt like someone needed help. I really hope you do well my friend. I’m sorry If the answer is in correct, I’m in geometry.

Plan B will save you money for a 1-day rental if you drive more than 166.67 miles.

To determine the range of miles for which Plan B will save money over Plan A for a 1-day rental, we need to set up an equation that compares the total cost of each plan.

For Plan A, the cost is given by:

Cost(A) = 30 + 0.12x

where x is the number of miles driven.

For Plan B, the cost is given by:

Cost(B) = 50

since there is no additional charge for mileage.

To determine the range of miles for which Plan B is cheaper than Plan A, we need to find the value of x for which:

Cost(B) < Cost(A)

Substituting the expressions for the costs of each plan, we get:

50 < 30 + 0.12x

Simplifying this inequality, we get:

0.12x > 20

x > 20 / 0.12

x > 166.67

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Answer:12

Step-by-step explanation:

8 times 3 equals 24.24 subtract36 get 12

Step-by-step explanation:

the zeros are the x-intercepts. because these are x values, when y (= f(x)) = 0.

a quadratic equation has 2 zeros (even if they are equal or complex numbers).

a quadratic equation

ax² + bx + c = 0

can always be solved by

x = (-b ± sqrt(b² - 4ac))/(2a)

in our case

x = (-14 ± sqrt(14² - 4×2×20))/(2×2) =

= (-14 ± sqrt(196 - 160))/4 =

= (-14 ± sqrt(36))/4 = (-14 ± 6)/4

x1 = (-14 + 6)/4 = -8/4 = -2

x2 = (-14 - 6)/4 = -20/4 = -5

these are the 2 zeros (x-intercepts).

if you need the explicit points :

(-5, 0) and (-2, 0)

the y-intercept is the y-value when x = 0

y = 2×0² + 14×0 + 20 = 20

the explicit point : (0, 20)

Answer:

csc(t) = -3/2

Step-by-step explanation:

Given sin(-t) = 2/3, we can find the value of csc(t) as follows:

sin(-t) = 2/3

sin(t) = -2/3 (since the sine function is an odd function)

Since csc(t) = 1/sin(t), we have:

csc(t) = 1/sin(t) = 1/(-2/3) = -3/2

Answer:

[tex]\displaystyle \csc(t)=-\frac{3}{2}[/tex]

Step-by-step explanation:

[tex]\displaystyle \sin(-t)=\frac{2}{3}\\\\\sin(t)=-\frac{2}{3}\\ \\\frac{1}{\sin(t)}=\frac{1}{-\frac{2}{3}}\\\\\\\csc(t)=-\frac{3}{2}[/tex]

The second step can be done because sin(-t) is an odd function.

The  two equivalent expressions for the total number of granola bars Tomas buys after 5 months is 5(4x + 2y) and 20x + 10y

In mathematics, an expression is a combination of symbols (such as numbers, variables, and operators) that represent a mathematical object or value.

Tomas buys 4 boxes of crunchy granola bars and 2 boxes of chewy granola bars each month. Let's assume that each box of crunchy granola bars contains x bars and each box of chewy granola bars contains y bars.

To express the total number of granola bars that Tomas buys in one month, we can use the following expression:

4x + 2y

This expression shows that Tomas buys 4 boxes of crunchy granola bars, each containing x bars, and 2 boxes of chewy granola bars, each containing y bars.

To find the total number of granola bars that Tomas buys after 5 months, we need to multiply the expression by 5, since he buys granola bars each month for 5 months. This gives us the expression:

5(4x + 2y) = 20x + 10y

Alternatively, we can also express the total number of granola bars that Tomas buys in 5 months using the following expression:

5x(4) + 5y(2) = 20x + 10y

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Answer:

  A.  Bimodal

Step-by-step explanation:

You want a description of the shape of the histogram shown.

The mode of a dataset is the value that appears most often. When two values have that distinction, the data is said to be "bimodal."

Here, the most a data item appears is 6 times. Two data items have that distinction: 2 and 7. Hence, the shape of the distribution is ...

  A.  Bimodal

<95141404393>

The number of Canadian dollars the bank exchange for $160 US dollars is 100.

Money is any item or medium of exchange that is accepted by people for the payment of goods and services, as well as the repayment of loans.

A current medium of exchange in the form of coins and banknotes.

Given that, the bank would exchange 1.6 Canadian dollars for one US dollar.

Here, there are $160 US dollars.

So, number of Canadian dollars

= 160/1.6

= 100

Therefore, the number of Canadian dollars the bank exchange for $160 US dollars is 100.

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An equivalent expression for 18c+144 is 18(c+8), by factoring out the greatest common factor of the terms 18 and 144.

In the original expression 18c + 144, we have two terms that do not have any common factors other than 1. However, we can see that both terms are multiples of 18, with 18 as the greatest common factor. So, we can factor out the 18 to simplify the expression.

To factor out 18, we divide each term by 18, which gives us:

18c/18 + 144/18

The first term simplifies to c, and the second term simplifies to 8, so we have:

c + 8

This expression represents the sum of c and 8, and it is equivalent to 18c + 144. However, we can still simplify this expression further by factoring out the common factor of c + 8, which gives us:

c + 8 = 18(c + 8)

So, we have the equivalent expression 18(c + 8), which is the original expression 18c + 144 after factoring out the greatest common factor of 18.

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