Need help with two questions I am not good with this

Answer:

Step-by-step explanation:

All the masses here are based on the main mass of the sand.  So we will call sand "x".  If there is two times as much cement as sand, then cement is 2x; if there is three times as much stone as sand, then stone is 3x.  All of these added together equal a mass of 600 kg:

x + 2x + 3x = 600 so

6x = 600 and

x = 100 kg

There are 100 kg of sand.  That means that there is 200 kg of cement and 300 kg of stone

Answer:

200 kg

Step-by-step explanation:

Total weight of the mixture = 600kg

Let the weight of the cement in the mixture be x kg.

According to the problem statement, there is twice as much cement as sand, therefore the weight of sand relative to cement will be 1/2, i.e.

sand weight = 1/2x =0.5x

Similarly, weight of stone will be three times as much as sand.

Meaning, stone weight = 3*0.5x=1.5x

Total weight of all the components will be

cement weight + sand weight  + stone weight  =

x + 0.5x + 1.5x = 3x

But 3x = 600,

x = 600/3= 200 kg

Answer

Cluster sampling. See explanation below.

Step-by-step explanation:

For this case they not use random sampling since we are selecting people from flights. Because we select just 5 random flights.

Is not stratified sampling since we don't have strata clearly defined on this case, and other important thing is that in order to apply this method we need homogeneous strata groups and that's not satisfied on this case.

Is not convenience sampling because they NOT use a non probability method in order to select the people from the flights.

So then the only possible method is cluster sampling since we have clusters clearly defined (Passengers from the airlines), and we satisfy the condition of homogeneous characteristics on the clusters and an equal chance of being a part of the sample, since we are selecting RANDOMLY, the 5 flights to take the information.

Final answer:

The total cost, including a 5% GST and a 15% tip on a bill of $123, would be $147.60, calculated by adding the GST and the tip amount to the original bill.

Explanation:

To calculate the total cost of the meal including tax and tip, we add both the Goods and Services Tax (GST) and the tip percentage to the original bill amount.

The total cost, including a 5% GST and a 15% tip on a bill of $123, would be $147.60.

Answer:

The Statements which are true are:

(2)(6) > (–2)(2)

6/-2 < -2/-2

6/2 > -2/2

Step-by-step explanation:

Given:

6 > –2

We need to check all options which are true,

Hence we will check for all 1 by 1.

(2)(6) > (–2)(2)

It means that when 2 is multiplied on both side we get the value as

12 > -4

Since 12 is greater than -4.

Hence this statement is true.

6/2 < -2/2

It means that when 2 is divided on both side we get the value as

3 < -1

Since 3 is greater than -1.

Hence this statement is false.

(–2)(6) > (–2)(–2)

It means that when -2 is multiplied on both side we get the value as

-12 > 4

Since -12 is less than 4.

Hence this statement is false.

6/-2 < -2/-2

It means that when -2 is divided on both side we get the value as

-3 < 1

Since -3 is lesser than 1.

Hence this statement is true.

5) (2)(6) < (–2)(2)

It means that when 2 is multiplied on both side we get the value as

12 < -4

Since 12 is greater than -4.

Hence this statement is False.

6/2 > -2/2

It means that when 2 is divided on both side we get the value as

3 > -1

Since 3 is greater than -1.

Hence this statement is True.

Answer:

A,D,F

Step-by-step explanation:

I got these correct!

Answer: [tex]\dfrac{15}{17}[/tex]

Step-by-step explanation:

Total number of cards in a deck = 52

Number of red cards = 26

Number of cards not red =

Number of ways to draw not red cards = [tex]^{26}C_3[/tex]

Total ways to draw 3 cards = [tex]^{52}C_3[/tex]

The probability that none of three cards are red = [tex]\dfrac{^{26}C_3}{^{52}C_3}[/tex]

[tex]=\dfrac{\dfrac{26!}{3!(26-3)!}}{\dfrac{52!}{3!(52-3)!}}[/tex]  [∵ [tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]]

[tex]=\dfrac{\dfrac{26\times25\times24\times23!}{(23)!}}{\dfrac{52\times51\times50\times49!}{3!(49)!}}=\dfrac{2}{17}[/tex]

Now , the probability that at least one of the cards drawn is a red card = 1- Probability that none cards are red

[tex]=1-\dfrac{2}{17}=\dfrac{17-2}{17}=\dfrac{15}{17}[/tex]

Hence, the required probability = [tex]\dfrac{15}{17}[/tex]

Answer: The outbound trip is 18 miles per hour

Step-by-step explanation:

Let x represent the speed of the plane.

An aircraft carrier made a trip. Let us assume that this trip was outbound. The trip there took 5 hours.

Distance = speed × time. Therefore

Distance = 5x

The trip back took 6 hours. It averaged 3 mph faster on the trip there then on the return trip. This means that the speed on the trip back is x - 3 mph.

Distance = 6(x-3) = 6x - 18

Since the distance is the same,

5x = 6x - 18

6x - 5x = 18

x = 18

The speed on return or inbound trip would be 18 - 3 = 15 mph

Answer: the slope of the line is 2

Step-by-step explanation:

The equation of a straight line is represented in the slope intercept form as

y = mx + c

Where

m = slope

c = intercept

The given equation is y = 2x + 4

Comparing it with the slope intercept form given above,

m = 2. Therefore, the slope of the line is 2

Answer:

[tex] Depth = \frac{Area}{# frontage feet}= \frac{87120 ft^2}{400}=217.8 \approx 218[/tex]

So for this case the best answer would be:

d. 218’

Step-by-step explanation:

Previous concepts

Foot front : "Is a foot measured along the front of a piece of property".

Solution to the problem

For this case we need to begin finding the number of frontage feet, with the following formula:

[tex]Frontage fronts=\frac{Amount paid}{Unitary price}[/tex]

And for this case if we replace the values given we got:

[tex]Frontage fronts=\frac{100000}{250}=400 fromtage foot[/tex]

Now we need to convert the area to square feet. And we know that:

[tex] 1 acre= 43560 ft^2[/tex]

And converting we got: [tex]2 acre *\frac{43560 ft^2}{1 acre}=87120 ft^2[/tex]

Now we can divide the total area by the total of frontage feer and we got:

[tex] Depth = \frac{Area}{# frontage feet}= \frac{87120 ft^2}{400}=217.8 \approx 218[/tex]

So for this case the best answer would be:

d. 218’

Answer:

-6 and -7 are the roots

Step-by-step explanation:

The quadratic equation given is:

[tex]x^{2}+13x=-42\\Taking\ -42\ to\ left\ hand\ side\ we\ get\\x^{2} +13x+42=0[/tex]

We can factorise the equation as:

[tex]x^{2}+6x+7x+42=0\\(x^{2}+6x)+(7x+42)=0\\[/tex]

Taking x common from the first bracket and 7 common from the second bracket we get:

[tex]x(x+6)+7(x+6)[/tex]

Taking (x+6) common from both terms we get:

[tex](x+6)(x+7)=0[/tex]

x= -6 or x=-7

Hence -6 and -7 are the roots of the given quadratic equation.

Answer:

The answer is option is (4) y ≤ 14

Step-by-step explanation:

The given function, y = - 0.5[tex](x + 10)^{2} + 14[/tex]

We have to find the range of this function. If we take the first part of the function alone we can see that it is always negative or zero. So the maximum value of the function is 14.

This happens when we make the first part zero and for that we put x = -10.

So the maximum value of the function occurs at x = -10 and that value is y = 14.

Hence the range is y ≤ 14.

The answer is option is (4) y ≤ 14

Answer: [tex]\$1.99[/tex]

Step-by-step explanation:

The missing figure is attached.

For this exercise you need to analize the information provided.

You can observe in the picture attached that the cost of a package of wrapping paper is $3.76 and each bow costs $1.05.

Since Inez bought 1 package of wrapping paper and 4 bows, you get that the total amount of money she spent was:

[tex]Total=\$3.76+4(\$1.05)\\\\Total=\$7.96[/tex]

According to the data given in the exercise, Inez wrapped 4 identical gifts.  So, let be "x" the cost for wrapping each gift.

This is:

[tex]x=\frac{\$7.96}{4}\\\\x=\$1.99[/tex]

1.99

Step-by-step explanation:

Answer:

Option (4) is the answer.

Step-by-step explanation:

The given question is without options ; here is the complete question.

Myriah wants to use dimensional analysis to find out how many centimeters (cm) are in 1.4 meters (m). Which of these equalities will be useful for this calculation?

2.54 cm = 1 in.

1 m = 39.37 in.

1 cm = 10 mm

100 cm = 1 m

During the dimensional analysis Myriah wants to convert the dimension from meter to centimeter.

Option (1), In this option given equality is to convert centimeter to inch. which is not required.

Option (2), In this option equality is to convert meter to inch which is not required.

Option (3) the equality given will convert cm to mm, which is not required.

Option (4) equality given in this option will convert meter to centimeter which is the required equality.

Therefore, Option (4) will be the answer.

Answer:

[tex]\frac{25}{102}[/tex].

Step-by-step explanation:

Total number of cards in a deck = 52

number of black cards in a deck = 26

Find the probability that both cards are black (without replacement).

Therefore, both events are dependent.

The probability of first card is black = [tex]P_{1}=\frac{26}{52}[/tex]

the probability of second card is black = [tex]P_{2}=\frac{25}{51}[/tex]

[tex]P=\frac{26}{52}[/tex] × [tex]=\frac{25}{51}[/tex]

   = [tex]\frac{1}{2}[/tex] × [tex]\frac{25}{51}[/tex]

   = [tex]\frac{25}{102}[/tex]

The probability that both cards are black is [tex]\frac{25}{102}[/tex].

The probability that both cards picked without replacement are black is [tex] \frac {25}{102}[/tex]

Number of black cards in deck = 26

Total number of cards = 52

Recall :

Probability = (required outcome / Total possible outcomes)

Therefore,

Ist pick :

P(black card) = 26/52

Number of black cards left = 26 - 1 = 25

Total number of cards left = 52 - 1 = 51

2nd pick:

P(black card) = 25 / 51

Therefore, probability that both cards are black is ;

[tex]P(Both \: black) = \frac{26}{52} \times \frac{25}{51} = \frac {25}{102}[/tex]

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Answer:

Bakery will sell  [tex]4w+6[/tex] loaves of bread next year.

Step-by-step explanation:

Given:

Number of loaves of bread sold last year = 'w'

Now Given:

This year, the bakery sold three more than twice the number of loaves of bread sold last year.

Framing in equation form we get

Number of loaves of bread sold this year = [tex]2w+3[/tex]

Also Given:

next year the bakery plans on selling twice the number of loaves of bread sold this year.

framing in equation form we get;

Number of loaves of bread bakery will sell next year = [tex]2(2w+3) = 4w+6[/tex]

Hence Bakery will sell  [tex]4w+6[/tex] loaves of bread next year.

The bakery expects to sell  4w + 6  loaves of bread next year.

Let's break down the problem step by step:

1. Number of loaves sold this year:

  - Last year, the bakery sold  w  loaves of bread.

  - This year, the bakery sold three more than twice the number of loaves sold last year.

  - Therefore, the number of loaves sold this year is:

   [tex]\[ 2w + 3 \][/tex]

2. Number of loaves expected to be sold next year:

  - Next year, the bakery plans to sell twice the number of loaves sold this year.

  - Therefore, the number of loaves expected to be sold next year is:

   [tex]\[ 2 \times (2w + 3) \][/tex]

3. Simplify the expression:

  - Distribute the 2 in the expression:

  [tex]\[ 2 \times (2w + 3) = 2 \times 2w + 2 \times 3 = 4w + 6 \][/tex]

Therefore, the bakery expects to sell  4w + 6  loaves of bread next year.

Answer:

60 lines can be typed in the page

Step-by-step explanation:

Given:

Length of the page  = 17 inches

Length of the margin = 0.5-inch

length of one line  = 4/15

To Find:

The number of lines that can be typed on a page

Solution:

Let the number of line  that can be typed be  n

then

n <= [tex]n \leq \frac{\text { total length of the page}-\text {top margin} - \text{ bottom margin}}{\text{size of each line }}[/tex]

the top and bottom margins are 0.5 inches each

so we will be having

=> [tex]n \leq \frac{17 -0.5-0.5}{\frac{4}{15}}[/tex]

=>[tex]n \leq \frac{16}{\frac{4}{15}}[/tex]

=>[tex]n \leq \frac{16\times 15}{4}[/tex]

=>[tex]n \leq\frac{240}{4}[/tex]

=> [tex]n \leq 60[/tex]

If the cutting plane was parallel to the circular base of the cones, then we would have a circular cross section (assuming the plane doesnt cut through the vertex). However, we're told than the plane intersects both nappes, or cones, so it's not possible for the plane to be parallel to the base faces. We can rule out choice A.

We can rule out choice C and choice D for similar reasons. An ellipse only forms if the plane only cuts through one cone only, which is the same story for a parabola as well.

Answer:

Step-by-step explanation:

Based on what you have here as the slope we can set the slope formula equal to 34 using the points (0, 8) and (8, c) to solve for c, then use the points (0, 8) and (a, 5) to solve for a.  

c first:

[tex]\frac{c-8}{8-0}=34[/tex] and

[tex]\frac{c-8}{8}=34[/tex] and

c - 8 = 272 s0

c = 280

For a:

[tex]\frac{5-8}{a-0}=34[/tex] and

[tex]\frac{-3}{a}=34[/tex] and

-34a = 3 so

[tex]a=-\frac{3}{34}[/tex]

That seems a little weird, but when you plug those points into the slope formula to solve for the slope, it works out the way it should.

Answer:

a) A response of 8.9 represents the 92nd ​percentile.

b) A response of 6.6 represents the 62nd ​percentile.

c) A response of 4.4 represents the first ​quartile.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 5.9

Standard Deviation, σ = 2.2

We assume that the distribution of response is a bell shaped distribution that is a normal distribution.

Formula:

[tex]z_{score} = \displaystyle\frac{x-\mu}{\sigma}[/tex]

a) We have to find the value of x such that the probability is 0.92

P(X < x)  

[tex]P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.92[/tex]

Calculation the value from standard normal z table, we have,  

[tex]P(z<1.405) = 0.92[/tex]

[tex]\displaystyle\frac{x - 5.9}{2.2} = 1.405\\x = 8.991 \approx 8.9[/tex]

A response of 8.9 represents the 92nd ​percentile.

b) We have to find the value of x such that the probability is 0.62

P(X < x)  

[tex]P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.62[/tex]

Calculation the value from standard normal z table, we have,  

[tex]P(z<0.305) = 0.92[/tex]

[tex]\displaystyle\frac{x - 5.9}{2.2} = 0.305\\x = 6.571 \approx 6.6[/tex]

A response of 6.6 represents the 62nd ​percentile.

c) We have to find the value of x such that the probability is 0.25

P(X < x)  

[tex]P( X < x) = P( z < \displaystyle\frac{x - 5.9}{2.2})=0.25[/tex]

Calculation the value from standard normal z table, we have,  

[tex]P(z<0.305) = -0.674[/tex]

[tex]\displaystyle\frac{x - 5.9}{2.2} = -0.674\\x = 4.4172 \approx 4.4[/tex]

A response of 4.4 represents the first ​quartile.

Answer:

187 eggs

Step-by-step explanation:

Correct Question:

After collecting eggs from his chickens, Dale puts the eggs into cartons to sell. Dale fills 15 cartons and has 7 eggs left over. Each carton holds 12 eggs. How many eggs did Dale collect?

Dale filled up each carton with 12 eggs (that's the full capacity.

Dale filled up 15 full cartons.

So, the eggs he collected in carton:

15 * 12 = 180 eggs

He still had 7 left over, so total number of eggs that Dale collected is:

180 + 7 = 187 eggs

Answer:

12

Step-by-step explanation:

3x + 7 = 5x - 17

5x - 3x = 7 + 17

2x = 24

x = 12

｡☆✼★ ━━━━━━━━━━━━━━  ☾

The correct option would be A. an = 3 + 4n

You may test my substituting values in:

3 + 4(1) = 7

3 + 4(2) = 11

etc

Have A Nice Day ❤  

Stay Brainly! ヅ  

- Ally ✧  

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Answer:

a

Step-by-step explanation:

Answer:

The answer to your question is below

Step-by-step explanation:

1)  Given

2)  Subtraction property of equality (because we are subtracting the same quantity on both sides).

3) Simplification

4) Subtraction property of equality ( because we are subtracting the same quantity on both sides).

5) Simplification

6) Multiplication property of equality (because we are multiplying the same quantity on both sides).

7) Simplification

Answer:

(a) statistic

Step-by-step explanation:

The researcher conducted the research using sample space of 25 three-year-old girls and 25 three-year-old boys. This sample space is subjected to test with an expected outcome. The test allows the research to perform analysis on the event base on data he has collected. The collection, analysis and interpretation of data is called statistics.

Final answer:

To find the probability that A.J. and M.J. finish their jobs within a certain time, we need to calculate the z-score for the given values and use a standard normal distribution table or a calculator to find the probability.

Explanation:

(a) To find the probability that A.J. finishes in less than 900 minutes, we need to calculate the z-score (standard score) for the value 900 using the formula: z = (x - mean) / standard deviation. In this case, x = 900, mean = 50 minutes, and standard deviation = 10 minutes. Once we have the z-score, we can use a standard normal distribution table or a calculator to find the probability.

(b) To find the probability that M.J. finishes in less than 900 minutes, we use a similar process as in part (a), but with different mean and standard deviation values. In this case, x = 900, mean = 52 minutes, and standard deviation = 15 minutes.

(c) To find the probability that A.J. finishes before M.J., we can compare the means of the two distributions. Since A.J.'s mean is lower than M.J.'s mean, the probability of A.J. finishing before M.J. is higher.

Answer:

A. increase the sample size

Step-by-step explanation:

By increasing sample size, the amount of data included in the statistical calculation is more. As the size increases, the uncertainty decreases, hence the confidence level on our estimate is higher. By having more sample, we have more accurate analysis, and our margin of error can be reduced as well.

Answer:

Only one.

Step-by-step explanation:

Given that there are 25 cookie of the same type in a cookie jar.

We have to select 4 cookies from these 25.

Since they are all the same type, they are identical.

The question is

How many ways can you choose 4 cookies from a cookie jar containing 25 cookies of all the same type?

There is no difference if we take any four cookies from these 25.

Hence no of different ways = 1

Only one is the answer.

Answer:

Step-by-step explanation:

25 P4=25×24×23×22=303600

Answer:

  ? = 47°

Step-by-step explanation:

The angle marked B at the intersection of the secants is half the difference of the arcs they intercept.

  ∠B = (DE -AC)/2 = (142° -48°)/2 = 47°

The unknown angle is 47°.

Answer: A pair of boots costs $120.25. A pair of tennis shoes costs $75.87✔️

Step-by-step explanation:

Let B the cost of a pair of boots and let T the cost of a pair of tennis shoes.

Then we know:

A pair of boots and a pair of tennis shoes cost $196.12:

B + T = $196.12 } Equation 1

We also know:

The difference in their cost is $44.38:

B - T = $44.38 } Equation 2

From the equation 1 we know T:

T = $196.12 - B

Now we can substitute this value in equation 2:

B - ($196.12 - B) = $44.38

B - $196.12 + B = $44.38

2B = $44.38 + $196.12 = $240.5

B = $240.5/2 = $120.25◄cost of a pair of boots

Since we know the value of T from the equation 1:

T = $196.12 - B = $196.12 - $120.25 = $75.87◄cost of a pair of tennis shoes

Answer: A pair of boots costs $120.25. A pair of tennis shoes costs $75.87✔️

We can substitute these values in equations 1 and 2 and check the results:

B + T = $196.12 } Equation 1

$120.25 + $75.87 = 196.12 ✔️check!

B - T = $44.38 } Equation 2

$120.25 - $75.87 = $44.38 ✔️check!

Spymore

The cost of a pair of boots is $120.25 and the cost of a pair of tennis shoes is $75.87.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Given that, a pair of boots and a pair of tennis shoes cost $196.12.

Let the cost of a pair of boots be b and the cost of a pair of tennis shoes be t.

Now, b+t=196.12 --------(I)

The difference in their cost is $44.38.

b-t=44.38 --------(II)

Add equation (I) and (II), we get

b+t+b-t=196.12+44.38

2b=240.5

b=240.5/2

b=$120.25

Substitute b=$120.25 in equation (I), we get

b+t=196.12

t=196.12-120.25

t=$75.87

Therefore, the cost of a pair of boots is $120.25 and the cost of a pair of tennis shoes is $75.87.

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Answer:

The first option is the correct one, the area of the shaded portion of the circle is

[/tex](5 \pi -11.6)ft^2[/tex]

Step-by-step explanation:

Let us first consider the triangle + the shadow.

The full area of the circle is the radius squared times pi, so

A=[tex](5 ft)^2 \cdot \pi \\25 ft^2 \cdot \pi[/tex]

Since [tex]\frac{72^{\circ}}{360^{\circ}}=\frac{1}{5}[/tex], the area of the triangle + the shaded area is one fifth of the area of the whole circle, thus

[tex]A_1=\frac{1}{5}25 ft^2 \cdot \pi\\ =5 ft^2 \cdot \pi[/tex]

If we want to know the area of the shaded part of the circle, we must subtract the area of the triangle from [tex]A_1[/tex].

The area of the triangle is given by

[tex]A_{triangle}=\frac{1}{2}\cdot (2.9+2.9)ft \cdot 4 ft\\= 11.6 ft^2[/tex]

Thus the area of the shaded portion of the circle is

[tex]A_1-A_{triangle}=5 \pi ft^2-11.6ft^2\\= (5 \pi -11.6)ft^2[/tex]

Answer:

A

Step-by-step explanation: i did the test and review

Answer:

time series

Step-by-step explanation:

A time series is a sequence of observations on a variable measured at successive points in time or over successive periods of time.