A sandwich is made with 1 type of bread, 1 type of meat, and 1 type of cheese. There are 3 types of bread: white, wheat, or rye; 2 types of meat: turkey or roast beef; and 2 types of cheese: American or Swill. Draw a tree diagram to show the possible sandwich choices.

Answer:

yes

Step-by-step explanation:

y = 19+ 3x

Let x = 3 and y = 28

28 = 19 + 3*3

28 =19+9

28 = 28

This is true so the point is one the line

Answer:

5cm

Step-by-step explanation:

50mm ÷ 10 = 5cm

The volume of Joe chocolate box is 48in³

1. Volume of Joe chocolate box

Given the following dimensions:

length = 6in

height = 2in

width = 4in

Recall that,

Volume = length x width x height

Volume = 6 in x 4 in x 2 in

Volume = 48in³

2. Gift paper to wrap rectangular gift box

To calculate the amount of gift paper required to wrap the rectangular box, we need to find the surface area of the box.

Recall that,

Surface Area = 2(length x width) + 2(length x height) + 2(width x height)

Surface Area = 2(15 in x 10 in) + 2(15 in x 8 in) + 2(10 in x 8 in)

Surface Area = 300 in² + 240 in² + 160 in²

Surface Area = 700in²

3. Quantity of pasta served to Olivia

To find the quantity of pasta served to Olivia, we need to calculate the volume of the rectangular prism lunch box.

The volume of a rectangular prism can be calculated by multiplying its length, width, and height.

Given the dimensions of the lunch box, we have:

Volume = Length x Width x Height

Volume = 5 in x 4 in x 3 in

Volume = 60in³

Therefore, the quantity of pasta served to Olivia is 60in³

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a) To find the average life of the ten batteries, we need to calculate the mean, which is the sum of all the values divided by the number of values.Sum of all values = 10.8 + 10.6 + 11.4 + 8.9 + 10.1 + 10.6 + 9.9 + 12.6 + 10.5 + 11.9 = 106.2

Number of values = 10

Average life = Sum of all values / Number of values = 106.3 / 10 ≈ 10.63

Therefore, the average life of the ten batteries, rounded to the nearest tenth of an hour, is approximately 10.6 hours.

b) Comparing the two advertisements:

i) The first advertisement claims that Atlas batteries are guaranteed to last 10 hours. This means that all Atlas batteries are expected to last at least 10 hours. However, based on the data provided, we can see that the average life of the batteries is approximately 10.6 hours, which is higher than the guaranteed 10-hour minimum

ii) The second advertisement claims that Atlas batteries have an average life of over 10 hours. This statement aligns with the data we have, as the average life of the batteries is indeed over 10 hours.

Based on the information provided, the second advertisement claiming that Atlas batteries have an average life of over 10 hours is more accurate, as the average life calculated from the given data is 10.6 hours.

In summary, the average life of the ten batteries is approximately 10.6 hours, and the second advertisement stating an average life of over 10 hours is more accurate based on the data provided.

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Possible strategic initiatives for the strategic objective to satisfy clients:

• Implement additional training course on serving and interacting with clients

a. client review and client growth percentage metrics likely relate to a strategic objective to satisfy and increase clients. The market share and profit margin metrics likely relate to a strategic objective to increase profits.

b.

New clients during the month

7

Lost clients during the month

(4)

Increase in clients

3

Total clients at the beginning of last month

÷ 72

Client growth percentage last month

4.17%

target met

c.

Number of 5-star reviews

55 × 5 =

275

Number of 4-star reviews

10 × 4 =

40

Number of 3-star reviews

3 × 3 =

9

Number of 2-star reviews

1 × 2 =

2

Number of 1-star reviews

1 × 1 =

1

Sum total of stars

327

Total number of reviews

÷ 70

Average online client satisfaction rating

4.67

stars, target

not met

d.

Possible strategic initiatives for the strategic objective to satisfy clients:

• Implement additional training course on serving and interacting with clients

• Invite clients to provide additional feedback through a brief online survey

• Have the company owner send a personal apology to any clients providing a review of 2 stars or less, and offer them some kind of compensation; also ask for their feedback regarding what caused them dissatisfaction

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Answer:

Ariel ate the most .

Step-by-step explanation:

hope this helps you.

Answer:

dan

Step-by-step explanation:

find the common denomanator= 28

dan 6/7 to the common denomanator is 24/28

ariel 3/4 is 21/28

Answer:

I think it should be the first or the second one

they both look the same

so choose either

Answer:

The 4th one ( graph #4)

Step-by-step explanation:

Answer:

Explanation:

The original price of the calculator = $40

Sales Price =$24

Difference = 40 - 24 =$16

Let the discount rate = x

Then:

We solve for x:

The confidence level for the true average strain is (24.69,27.31) and the prediction level is (20.01,31.99) and also it is estimated that prediction level is much wider than the confidence level

Given that sample size is 20, mean is 26%, standard deviation is 3.4, confidence level is 95%.

a)

We must calculate the true average strain in a way that conveys precision and reliability.

We have to use t-test in our problem because sample size is less than 30.

We Know that,

True average value is determined by formula,

\(\mu\pm t*\frac{S}{\sqrt{n}}\)

where μ is sample mean,

s is sample standard deviation.

Degree of freedom=n-1

=20-1

=19

t-value at 95% confidence interval=1.7281

\(26\pm 1.728*\frac{3.4}{\sqrt{20}}\\\\=26\pm1.728*0.7606\\\\=26\pm1.31\\\\=24.69,\ 27.31\)

b)

predicted value can be calculated by formula,

\(\mu \pm t*S\sqrt{1+\frac{1}{n}}\\\\=26\pm 1.728*3.4\sqrt{1+\frac{1}{20}}\\\\=26\pm 1.728*3.4*1.02\\\\=26\pm5.99\\\\=20.01,\ 31.99\)

As a result, we conclude that the prediction interval is greater than the confidence interval.

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Answer:

a. True

b. true

c. false

d. false

e. false

Step-by-step explanation:

a. true

polutation = 25% = 0.25

sample = n= 12

n x p

= 12 x o. 25 = 3 and 3 is less than 10

12(1 - p)

= 12 x 0.75

= 9 and is less than 10

b. True

the sample distribution of the population is normal when

sample size x population > or equal to 10

40 x 0.75

= 30 and 30 is greater than 10

c. false

50 x 0.25 = 12.5

50 x 0.20 = 10

z = 10 - 12.5/sqrt(12.5)

= -2.5/3.54

= -0.70

H0: Young american family who delayed

H1: young american family who did not delay

p(z = -0.70)

0.2420>0.005

therefore we accept the null hypothesis

d. false

150 x 0.20 = 30

150 x 0.75 = 37.5

z = 30 - 37.5/sqrt(37.5) = -7.5/6.12 = -1.22

p(z = -1.22) = 0.1112 > 0.05

therefore we do not reject the null hypothesis

e. false

se1 = sqrt(p(1-p)/n

se2 = sqrt(p(1-p)/3n

se2 = 1/sqrt(3)se2

The dimensions of the rectangular box are given as follows:

All the dimensions.

The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, according to the equation presented as follows:

Volume = length x width x height.

The box's volume is obtained as follows:

54 x 1³ = 128 x (3/4)³ = 54 cubic inches. (the volume of a cube is the side length cubed)

Hence all the options can be the dimensions of the box, as all the options have a multiplication resulting in 54.

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Answer:

\(\pi\)

Step-by-step explanation:

Area = \(\pi x^{2}\)  For a full circle.  This is 1/4 of a circle

A= \(\frac{\pi 2^{2} }{4}\) = \(\frac{\pi 4}{4}\) = \(\pi\)

Answer : The area of the shape is, 111.02 units 2

This problem is about find the patter on the number line to complete them all.

To know the unit rate, we just need to divide 10 by 3, since there are only three spots from 0 to 10.

Rounded to the nearest hundredth.

This means the first number is 3.33, the second number is 6.66, and then we have 10. You can also express the first number as 10/3, and the second number as 20/3, expressing them as fractions you will be more accurate. The image below shows the complete number line

Answer:

11 1/4

Step-by-step explanation:

first make the fractions equal. So 9 1/6 would be 9 2/12 so that we canadd them together.

9 2/12 + 2 1/12 = 11 3/12

but u can simplify the answer so itll be 11 1/4

\(answer = 11 \ \frac{3}{12} \\ solution \\ 9 \ \frac{1}{6} + 2 \ \frac{1}{12} \\ = \frac{55}{6} + \frac{25}{12} \\ = \frac{55 \times 2 + 25}{12} \\ = \frac{110 + 25}{12} \\ = \frac{135}{12} \\ = 11 \ \ \frac{3}{12} \\ hope \: it \: helps\)

Answer:

Solution given:

\( 2\frac{3}{5}-1 \frac{3}{8}\)

\(\frac{2*5+3}{5}-\frac{1*8+3}{8}\)

\(\frac{13}{5}-\frac{11}{8}\)

taking LCM

\(\frac{13*8-11*5}{5*8}\)

\(\frac{49}{40}\)

1\(\frac{9}{40}\)

is a required answer.

Given: The equation x² = 5x + 4

We have to draw the the graph for the given equation.

Consider the given equation,

x^2 - 5x - 4 = 0  

The vertex of the parabola of the form f(x) = ax^2 + bx + c   is given by x = -b/2a

Here,

a= 1

b= -5

c= -4

vertex = x = 5/2= 2.5

Also, the y coordinate at x = 2.5 is,

y = (2.5)^2 -5(2.5)-4

y = -10.25

Thus the vertex of parabola is (2.5 , -10.25)

y - intercept is the point where x = 0

put x = 0 in given equation

f(x) = 0 - 0 -4

f(x) = -4

hence y intercept is at (0, -4).

Now, we calculate x- intercept

x- intercept is where y is equal to 0.

Put f(x) = 0

We have,

x^2 - 5x - 4 = 0

by using quadratic formula,

x = -b ±√b² - 4ac/2a

x=5 ±√-5² - 4 (1)(-4)/2

x= 5±√41/2.

Hence with the obtained values the graph of the equation is obtained.

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Answer:

0.2

Step-by-step explanation:

A probability is always out of 100% (which also means out of 1)

So the probability that the dice rolls a 1 is 0.15/1, the probability it rolls a 3 is 0.3/1 and the probability it rolls a 4 is 0.35/1. The probability it rolls a 2 is x/1 where x is what we're looking for. If you add all the probabilities up you should have 1 in total. So 0.15 + x + 0.3 + 0.35 = 1

So to find the missing one you need to subtract all the probabilities you know from 1:

1 - 0.15 - 0.3 - 0.35 = 0.2

The probability of the die rolling 2 is 0.2

Probability is a measure of the likelihood of an event occurring. The probability of all the events in a sample space adds up to 1.

Given here the probabilities are 0.15,0.3, 0.35

since the probabilities, all add upto 1

therefore P(2) = 1-(0.15+0.3+0.35)

                       = 0.2

Hence the probability that the die will roll 2 is 0.2

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Answer:

50-12.50= 37.50

37.50/12.50 x100% =300%

Answer:

300%

Step-by-step explanation:

→ Work out the difference between the 2 numbers

$50 - $12.50 = $37.50

→ Divide it by the original

$37.50 ÷ $12.50 = 3

→ Multiply it by a hundred

300%

Answer:

93

Step-by-step explanation:

I think if the average is 93 or more, she has to get a 93% to get A.

Answer:

C

Step-by-step explanation:

y + 2x + 10 = 4x + 5

y = 4x - 2x + 5 - 10

y = 2x - 5

Answer- C

Answer:

f(x) \(\leq\) 3x + 4

g(x)  ≥ -1/2x - 5

Step-by-step explanation:

Point D is below f(x)  and above g(x)

Helping in the name of Jesus.

We have that the backpack weighs 4,289 grams = 4.289 kg.

Since Mikal weigh 17.989, we have that the total weight is:

therefore, Mikal and his backpack weigh 22.278 kg

\(\bold{\huge{\underline{ Solution }}}\)

Here, we will use the concept of integration and algebric identities

We have,

\(\bold{\displaystyle\int}{\bold{\dfrac{ cos^{2}x}{1 + sinx}}}{\bold{dx}}\)

By using trigonometric identity,

\(\sf{\displaystyle\int}{\sf{\dfrac{ 1 -sin^{2}x }{1 + sinx}}}{\sf{dx}}\)

By using algebraic identity :-

\(\sf{\displaystyle\int}{\sf{\dfrac{ (1 + sinx) (1 - sinx) }{1 + sinx}}}{\sf{dx}}\)

\(\sf{\displaystyle\int}{\sf{( 1 - Sinx)dx}}\)

\(\sf{ {\displaystyle\int} dx - {\displaystyle\int}sinxdx}\)

We know that,

\(\sf{ x - (-cosx) + c}\)

\(\bold{ x + cosx + c}\)

Hence, The answer is x + Cosx + c.

We are given with an integral and need to solve the integral , so let's start ;

\({:\implies \quad \displaystyle \int \sf \dfrac{\cos^{2}(x)}{1+\sin (x)}dx}\)

As we know that sin²(x) + cos²(x) = 1 , using this

\({:\implies \quad \displaystyle \int \sf \dfrac{1-\sin^{2}(x)}{1+\sin (x)}dx}\)

Can be further written as

\({:\implies \quad \displaystyle \int \sf \dfrac{1^{2}-\sin^{2}(x)}{1+\sin (x)}dx}\)

\({:\implies \quad \displaystyle \int \sf \dfrac{\cancel{\{1+\sin (x)\}}\{1-\sin (x)\}}{\cancel{\{1+\sin (x)\}}}dx\quad \qquad \{\because a^{2}-b^{2}=(a+b)(a-b)\}}\)

\({:\implies \quad \displaystyle \int \sf \{1-\sin (x)\}dx}\)

Now , as integrals follow distributive property , so ;

\({:\implies \quad \displaystyle \int \sf 1\: dx-\int \sin (x)dx}\)

Now , as antiderivative (Integration) of sin(x) is -cos(x) + C and that of dx is x + C So ;

\({:\implies \quad \displaystyle \bf \therefore \underline{\underline{\int \bf \dfrac{\cos^{2}(x)}{1+\sin (x)}=x+\cos (x)+C}}}\)

This is the Required answer

Complete question is;

Use technology and a t-test to test the claim about the population mean μ at the given level of significance α using the given sample statistics. Assume the population is normally distributed.

Claim: μ > 71; α = 0.05

Sample statistics:

¯x = 73.9, s = 3.7, n = 25

A) What are the null and alternative hypotheses?

Choose the correct answer below.

A. H0:μ = 71 ; HA:μ ≠ 71

B. H0:μ ≤ 71; HA:μ > 71

C. H0: μ ≥ 71; HA: μ < 71

D. H0: μ ≠ 71; HA: μ = 71

B) What is the value of the standardized test statistic? The standardized test statistic is (Round to two decimal places as needed.)

C) What is the P-value of the test statistic? P-value = Round to three decimal places as needed.)

D) Decide whether to reject or fail to reject the null hypothesis.

Answer:

A) Option B - Alternative hypothesis: HA: μ > 71

Null hypothesis: H0: μ ≤ 71

B) t = -7.54

C) p-value = 0.000

D) we reject the null hypothesis

Step-by-step explanation:

A) We are told that the claim is: μ > 71. Thus, due to the sign, the alternative hypothesis would be the claim. So;

Alternative hypothesis: HA: μ > 71

Null hypothesis: H0: μ ≤ 71

B)Formula for standardized test statistic with a t-test is;

t = (¯x - μ)/√(s/n)

Plugging in the relevant values, we have;

t = (71 - 73.9)/√(3.7/25)

t = -7.54

C) From online p-value from t-score calculator attached using t = -7.54, n = 25, significance level = 0.05, DF = 25 - 1 = 24 and a one - tailed test, we have;

p-value = 0.00001 ≈ 0.000

D) The p-value of 0.000 is less than the significance value of 0.05,thus we will reject the null hypothesis

(a) Consider the sequence {1/n}, where n is a positive integer greater than 1. This sequence does not contain 0 or 1 as a term, but it contains the subsequence {1}, which converges to 1, and the subsequence {1/n}, which converges to 0.

(b) Consider the sequence {(-1)^n × n}, which alternates between positive and negative values but is unbounded. However, the subsequence {n} is increasing and unbounded, but it converges to infinity.

(c) Consider the sequence {a_n}, where a_n = 1/n for n = 1, 2, 3, ..., and let x be any positive real number. Since 1/n converges to 0 as n approaches infinity, we can choose a term in the sequence such that 1/n < x. Let N be the smallest integer such that 1/N < x. Then the subsequence {a_N} converges to x. Since x was arbitrary, this sequence contains subsequences converging to every point in the infinite set {1, 1/2, 1/3, 1/4, 1/5, ...}.

(d) Consider the sequence {(-1)ⁿ}, which alternates between 1 and -1 but is unbounded. However, the subsequence {1, -1, 1, -1, ...} is bounded and converges to 1.

(e) Consider the sequence {n/(n+1)}, which is bounded between 0 and 1 but does not converge. However, any subsequence of this sequence is either eventually increasing or eventually decreasing and must converge to either 0 or 1. Therefore, there are no subsequences that converge.

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Answer:

x = 30° ; y = 45°

Step-by-step explanation:

Angle subtended by the diameter on any point of the circle is 90°. So,angleRSP = 90°

angleRST = 120° (given)

But,

angleRST = angleRSP + anglePST

\( = > 90 + x = 120\)

\( = > x = 120 - 90 = 30\)

In triangle PQR , PQ = RQ (given)

Hence , it is an isosceles triangle. As it is an isosceles triangle , the base angles are equal.

=> anglePRQ = angleRPQ = y°

anglePQR = 90° (Angle subtended by diameter on any point of circle is 90°)

According to Angle Sum Property of Triangle,

anglePRQ + angleRPQ = anglePQR

\( = > 90 + y + y = 180\)

\( = > 2y = 180 - 90 = 90\)

\( = > y = \frac{90}{2} = 45\)

The total space that the tiles will cover is 7x, where x is the number of tiles, and each tile has an area of 7 square inches. the maximum number of tiles that Lakita can use is  \(20\) .

Since each tile has an area of 7 square inches, the total area that the tiles will cover is 7x, where x is the number of tiles.

Lakita wants to find the maximum number of tiles she can use, so she needs to find the largest integer value of x that satisfies the inequality 7x < y, where y is the total area of the table-top.

To find the value of y, we need to find the area of the rectangle. The rectangle is 10 inches wide and 14 inches long, so its area is:

A = length × width    \(= 10 \times 14 = 140\) square inches

Therefore,  \(, y = 140\) square inches.

To find the maximum number of tiles, we can divide the total area of the table-top by the area of each tile:

\(x = y/7 = 140/7 = 20\)

Therefore, the maximum number of tiles that Lakita can use is  \(20\) .

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