Tripp made bread to share with his guests and each guest received 3/4 of a loaf of bread to eat. The model shows the amount of bread Tripp made. The shaded portion of the model represents how much bread his guests ate. After serving his guests the bread, he unexpectedly had 3 additional guests arrive. So, he baked more bread for the new guests. How many total loaves of bread did Tripp need to bake and how many guests did he have?

Answer: 20 6-cents, 30 8-cents, 10 10-cents and 2 20- cents

Step-by-step explanation:

6 cent = x+10

10 cent= x

8 cent= 3x

20 cent=2

6x+60+10x+24x+40

400 divided by 40=X

x=10.

10+10=20/ 6 cents

3x10=30/ 8 cents

x=10/ 10 cents

20 cents= 2.

a. Null Hypothesis: H0: μ1 = μ2 , Alternative Hypothesis: H1: μ1 > μ2

b. Test Statistic = 1.43

c. The degrees of freedom are 2089.

a. State the appropriate null and alternate hypotheses:

The hypothesis for testing if the mean number of hours per week spent on the Internet decreased between 2010 and 2012 can be stated as follows;

Null Hypothesis: The mean number of hours spent on the Internet in 2010 and 2012 are equal or there is no significant difference in the mean numbers of hours spent per week by adults on the Internet in 2010 and 2012. H0: μ1 = μ2

Alternative Hypothesis: The mean number of hours spent on the Internet in 2010 is greater than the mean number of hours spent on the Internet in 2012. H1: μ1 > μ2

b. Compute the test statistic: To calculate the test statistic we use the formula:

Test Statistic = (x¯1 − x¯2) − (μ1 − μ2) / SE(x¯1 − x¯2)where x¯1 = 10.52, x¯2 = 9.58, μ1 and μ2 are as defined above,

SE(x¯1 − x¯2) = sqrt(s12 / n1 + s22 / n2), s1 = 14.76, n1 = 1020, s2 = 13.33 and n2 = 1071.

Using the above values we have:

Test Statistic = (10.52 - 9.58) - (0) / sqrt(14.76²/1020 + 13.33²/1071) = 1.43

c. The degrees of freedom can be calculated

using the formula:

df = n1 + n2 - 2

where n1 and n2 are as defined above.

Using the above values we have:

df = 1020 + 1071 - 2 = 2089

Therefore, the degrees of freedom are 2089.

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Answer:

A, C, D

Step-by-step explanation:

Total number of outcomes for randomly choosing a vehicle = 25

What is outcome of an event?

Suppose an event is happening. The results which are possible in that event is known as outcome of that event.

Number of sportscar a car dealership has = 12

Number of sports utility vehicle a car dealership has = 6

Number of luxury car a car dealership has = 7

Total number of outcomes for randomly choosing a vehicle

                                                                                  = 12 + 6 + 7 =              

                                                                                  =  25

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Answer:

y = 1/2x + 5

Step-by-step explanation:

We can use point slope form since we are given a point and the slope

y -y1 = m( x-x1)

where ( x1,y1) is a point and m is the slope

y -0 = 1/2 (x- -10)

y = 1/2( x+10)

y = 1/2x + 5

The number of vehicles Luann had in mind is 135.

The calculation of the number of vehicles Luann had in mind is based on the ratio of the number of predicted SUVs to the number of predicted vehicles, and the actual number of SUVs seen by Luann.

First, we know that for every 45 vehicles that pass by, 14 are expected to be SUVs. This means that 14/45 of the vehicles are expected to be SUVs.

Next, we know that Luann saw 42 SUVs pass by. To find the actual number of vehicles that have passed by, we set up a proportion:

We can then solve for the actual number of vehicles by cross-multiplying and dividing:

So the number of vehicles Luann had in mind is 135.

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Complete Question:

Luann predicted that if a certain number of vehicles passed by her by, 42 of them would be SUVs. What was the certain number of vehicles she had in mind?

Types of Vehicles  |   Number of vehicles

    Car                   |   6

  Truck                 |   10

    SUv                 |     14

 Minivan             |     15

Etruscsn small mammals on earth the Bumblebee bat

The x-intercept is (4, 0) and y-intercept is (0, 1200) for the equation y = -300x + 1200 and graph shown below.

The data are simply presented in a structured manner in the graph. It helps us understand the data better. The mathematical data accumulated through perception is alluded to as information.

The data or information is shown in a line graph by being connected to one another by a straight line, which is a series of markers or dots.

Given equation is:  y = -300x + 1200

For y-intercept we have to put, x=0

⇒ y = 1200

For x-intercept put, y= 0

⇒ 0 = -300x +1200

⇒ x= 4

Hence, the y-intercept is ( 0, 1200 ) and the x-intercept is ( 4, 0 )

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(a) The probability that exactly two of the four components last longer than 1,000 hours is 0.3679

(b) The probability that the subsystem operates longer than 1,000 hours is 0.8130

(a) Let X be the number of components that last longer than 1,000 hours. Then X follows a binomial distribution with n = 4 and p = 0.55 (the probability that a component lasts longer than 1,000 hours is 1 - 0.45 = 0.55). The probability that exactly two of the four components last longer than 1,000 hours is

P(X = 2) = (4 choose 2) × 0.55^2 × 0.45^2 = 6 × 0.3025 × 0.2025 = 0.3679

So the probability that exactly two of the four components last longer than 1,000 hours is 0.3679 (rounded to four decimal places).

(b) The subsystem will operate if any two of the four components are operating. This means that the subsystem will fail if either none or only one component is operating. Let Y be the number of components that are operating. Then Y follows a binomial distribution with n = 4 and p = 0.45 (the probability that a component fails in less than 1,000 hours is 0.45). The probability that none of the four components are operating is

P(Y = 0) = 0.45^4 = 0.0081

The probability that exactly one of the four components is operating is

P(Y = 1) = (4 choose 1) × 0.55 × 0.45^3 = 0.1789

Therefore, the probability that the subsystem fails is

P(failure) = P(Y = 0) + P(Y = 1) = 0.0081 + 0.1789 = 0.1870

So the probability that the subsystem operates longer than 1,000 hours is

P(success) = 1 - P(failure) = 1 - 0.1870 = 0.8130 (rounded to four decimal places).

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40  

because 95/100 x 38/1 = 40

Answer:

Step-by-step explanation:

Set up a proportion

Cross multiply

Divide both sides by 95 to solve for x

95 / 100 = 38/ x

95(x) = 38 x 100

95x = 3800

X = 40 There were 40 questions on the test

Answer:

x = sqrt(95)

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

7^2 + x^2 = 12^2

49 + x^2 =144

Subtract 49 from each side

x^2 = 144-49

x^2 = 95

Take the square root of each side

sqrt(x^2) = sqrt(95)

x = sqrt(95)

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

7^2 + x^2 = 12^2

49 + x^2 =144

Subtract 49 from each side

x^2 = 144-49

x^2 = 95

Take the square root of each side

sqrt(x^2) = sqrt(95)

x = sqrt(95)

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The shortest length possible in the given question is 4.0×\(10^{-10}\) cm .

Distance is measured by length. The quantity of length has the dimension of distance in the International System of Quantities. Most measurement systems choose a base unit for length from which all other units are derived. The metre serves as the fundamental unit of length in the International System of Units.

Most people interpret length to mean an object's longest dimension. Nevertheless, depending on the object's position, this is not always the case.

There are several terms for the length of a fixed object, including height, which is also known as vertical length or vertical extent, and width, breadth, or depth. When a base exists from which vertical measurements can be taken, height is used.

Nanometer(nm)- In the International System of Units (SI), a nanometer (American spelling) is a unit of length that is equal to 1000 picometres and one billionth (short scale) of a meter (0.000000001 m).

now , for find the shortest length we can covert all the given units into centimeter,

1 pm = \((10)^{-10}\) cm

1 nm = \((10)^{-7}\) cm

1 m =  100 cm

we have , 400 pm = 4× \((10)^{-8}\) cm

                4.0 nm  =  4 × \((10)^{-7}\) cm

      4.0 x \((10)^{-4}\)m = 4 × \((10)^{-2}\) cm

and   4.0 x \((10)^{-10}\) cm

hence , clearly it is shown that shortest length is 4.0 x \((10)^{-10}\) cm .

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Answer: x=3/2 y=4

Step-by-step explanation:

The purchase price of the computer is $41,000.

We know that,

   1 year = 12 months

 5 year =( 12 * 5 ) months

  ∴5 year = 60 months

According to the question,

The company rented a computer for $800 a month.

The company had purchased the computer and paid a $100 maintenance charge.

The company would have saved $1000.

Purchase price=(800×60)- [(5×12 month×100)+1,000]

Apply BODMAS Rule,

⇒Purchase price=48,000-[60 * 100+1,000)

⇒Purchase price=48,000-[6,000+1,000)

⇒Purchase price=48,000-7,000 ( using subtraction)

⇒Purchase price=41,000

So, the purchase price of the computer is $41,000.

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ANSWERS

• A = 36.8°

• B = 23.2°

• a = 7.6

EXPLANATION

We can find B using the law of sines,

We have b = 5, c = 11 and C = 120°. Using the last two ratios,

Rise both sides of the equation to -1 - i.e. flip both sides,

Multiply both sides by b,

And take the inverse of the sine,

Replace with the values and solve,

Then, knowing that the sum of the measures of all the interior angles of a triangle is 180°, we find A,

Solving for A,

Finally, let's find a using the law of sines with the first and last ratios,

Solving for a,

Hence, the missing elements are A = 36.8°, B = 23.2° and a = 7.6.

Answer:Two quantities have a proportional relationship if they can be expressed in the general form y = kx, where k is the constant of proportionality. In other words, these quantities always maintain the same ratio. That is, when you divide any pair of the two values, you always get the same number k.

Step-by-step explanation:

Answer:

In one day, you travel 15 mph

Step-by-step explanation:

30/2 = 15

15:1

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90 seconds does it take to go from the bottom of the wheel to the top of the wheel, so the correct option is option C.

The height above ground for a person riding a ferris wheel after t seconds is modeled by h(t) = 150 sin (π/45 t+67.5) + 160 feet.

To determine the seconds does it take to go from the bottom of the wheel to the top of the wheel.

By the given equation

h(t) = 150 sin (π/45 t+67.5) + 160

This is a sine fraction.

w = λ/45 :period = 2λ/w

period = 2λ/w = 90.

Therefore, 90 seconds does it take to go from the bottom of the wheel to the top of the wheel.

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a) Let's test the given claim by formulating the hypotheses:Null hypothesis: Commercial truck owners do not violate laws requiring front license plates at a higher rate than passenger car owners.

Alternative hypothesis: Commercial truck owners violate laws requiring front license plates at a higher rate than passenger car owners.Test statistic: We'll use a two-proportion z-test to compare the proportions of commercial truck and passenger car owners who have only rear license plates. We need to compute the sample proportions of each group having only rear license plates.P-value: Using a 0.01 significance level, we'll reject the null hypothesis if the P-value is less than 0.01. The hypotheses are two-tailed, and the P-value is the area in both tails beyond the observed test statistic.

We can use the following formula to find the P-value.z = (p1 - p2) / sqrt(p_hat * (1 - p_hat) * (1/n1 + 1/n2)), wherep1 and p2 are the sample proportions, n1 and n2 are the sample sizes, andp_hat = (x1 + x2) / (n1 + n2), where x1 and x2 are the number of successes (only rear license plates) in each sample.Passenger car sample proportion = p1 = 220 / 2020 ≈ 0.109Commercial truck sample proportion = p2 = 55 / 386 ≈ 0.142Pooled sample proportion = p_hat = (220 + 55) / (2020 + 386) ≈ 0.118z = (0.109 - 0.142) / sqrt(0.118 * 0.882 * (1/2020 + 1/386)) ≈ -3.02The P-value is the area in both tails beyond z = ±3.02 on the standard normal distribution curve.

Using a standard normal distribution table or calculator, we can find that P(z ≤ -3.02) ≈ 0.0012 and P(z ≥ 3.02) ≈ 0.0012.

Therefore, the two-tailed P-value is P ≤ 0.0024.Based on the P-value of 0.0024 and the significance level of 0.01, we can conclude that the null hypothesis can be rejected. We have evidence that commercial truck owners violate laws requiring front license plates at a higher rate than passenger car owners.

We tested the given claim by comparing the proportions of commercial truck owners and passenger car owners who have only rear license plates. A two-proportion z-test was used to formulate the null and alternative hypotheses and to compute the test statistic and P-value. The null hypothesis was that there was no difference in the proportions of the two groups violating laws requiring front license plates, while the alternative hypothesis was that commercial truck owners violated these laws at a higher rate than passenger car owners.

Using a 0.01 significance level, we found that the P-value was 0.0024, which was less than 0.01. Therefore, we rejected the null hypothesis and concluded that commercial truck owners violate laws requiring front license plates at a higher rate than passenger car owners.

Thus, the null hypothesis was rejected because the P-value was less than 0.01, and we have evidence that commercial truck owners violate laws requiring front license plates at a higher rate than passenger car owners.

b) Test the claim by constructing an appropriate confidence interval:

We can also test the given claim by constructing a confidence interval for the difference between the two proportions. A 99% confidence interval will allow us to estimate the range of plausible values for the difference with 99% confidence. If the interval doesn't contain 0, we can conclude that there is a statistically significant difference between the two groups.

Let's construct the confidence interval:

Passenger car sample proportion = p1 = 220 / 2020 ≈ 0.109Commercial truck sample proportion = p2 = 55 / 386 ≈ 0.142Pooled sample proportion = p_hat = (220 + 55) / (2020 + 386) ≈ 0.118.

Standard error = sqrt(p_hat * (1 - p_hat) * (1/n1 + 1/n2)) ≈ 0.0195Margin of error = z* * SE ≈ 0.0305, where z* is the z-value for a 99% confidence interval.

Since the difference in proportions is p2 - p1 ≈ 0.033, the 99% confidence interval is [0.002, 0.064].Since the interval doesn't contain 0, we can conclude that there is a statistically significant difference between the proportions of commercial truck owners and passenger car owners who have only rear license plates. Therefore, the alternative hypothesis is supported.

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The formula we need to use is given above. In this formula, we will substitute the desired values. Let's start.

A) First, we can start by analyzing the first premise. The team has \(8\) wins and \(5\) losses. It earned \(8 \times 3 = 24\) points in total from the matches it won and \(1\times5=5\) points in total from the matches it drew. Therefore, it earned \(24+5=29\) points.

B) After \(39\) matches, the team managed to earn \(54\) points in total. \(12\) of these matches have ended in draws. Therefore, this team has won and lost a total of \(39-12=27\) matches. This number includes all matches won and lost. In total, the team earned \(12\times1=12\) points from the \(12\) matches that ended in a draw.

\(54-12=42\) points is the points earned after \(27\) matches. By dividing \(42\) by \(3\) ( because \(3\) points is the score obtained as a result of the matches won), we find how many matches team won. \(42\div3=14\) matches won.

That leaves \(27-14=13\) matches. These represent the matches team lost.

Finally, the answers are below.

\(A)29\)
\(B)13\)

Answer:

  a) 29 points

  b) 13 losses

Step-by-step explanation:

You want to know points and losses for different teams using the formula P = 3W +D, where W is wins and D is draws.

The number of points the team has is ...

  P = 3W +D

  P = 3(8) +(5) = 29

The team has 29 points.

You want the number of losses the team has if it has 54 points and 12 draws after 39 games.

The number of wins is given by ...

  P = 3W +D

  54 = 3W +12

  42 = 3W

  14 = W

Then the number of losses is ...

  W +D +L = 39

  14 +12 +L = 39 . . . substitute the known values

  L = 13 . . . . . . . . . . subtract 26 from both sides

The team lost 13 games.

__

Additional comment

In part B, we can solve for the number of losses directly, using 39-12-x as the number of wins when there are x losses. Simplifying 3W +D -P = 0 can make it easy to solve for x. (In the attached, we let the calculator do the simplification.)

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Answer: d = 1/4

Step-by-step explanation:

−16(d+1)=−20

Step 1: Simplify both sides of the equation.

−16(d+1)=−20

(−16)(d)+(−16)(1)=−20(Distribute)

−16d+−16=−20

−16d−16=−20

Step 2: Add 16 to both sides.

−16d−16+16=−20+16

−16d=−4

Step 3: Divide both sides by -16.

-16d = -4

-16     -16

d = 1/4

Hope this helps :)

Answer:

d=1/4 or .25

Step-by-step explanation:

-16(d+1)=-20

-16d-16=-20

-16d=-20+16

-16d/-16=-4/-16

d= 1/4 or .25

Answer:

Slope is 2/5

Step-by-step explanation:

Answer:

am 50%

Step-by-step explanation:

I try my best

Answer:

10%

Step-by-step explanation:

The relation displayed in the table is

The relation in the table is compared by identifying how a coordinate point are expressed as ordered pair and how they are expressed as a table

For instance, say (b, c) is represented in a table as

x    y

a    b

Using this instance and writing out the values in the table we have

(3, 3), (-1, 1), (2, -2), and (-3, 2)

This is similar to option B making option B the appropriate option

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Answer:

5cm

Step-by-step explanation:

Given

Height of the pole = 4m = opposite

Angle of elevation = 58 degrees

Required

length of shadow(hypotenuse)

Using the trig identity

Sin theta = opp/hyp

Sin 58 = 4/x

x = 4/sin58

x = 4/0.8480

x = 4.71cm

x ≈ 5cm

Hence the length of the shadow is 5cm to the nearest cm

Least to greatest: 0.64, 0.654, 0.66, 0.7

Answer:

1. 0.64

2. 0.654

3. 0.66

4. 0.7

Answer:

Answer:

See attached image.

Step-by-step explanation:

If x=y, the (x,y) = (x,x) or (y,y).  All points have the same x and y values.

Extra people required is 50.

Each of the five workers should increase their efficiency to a rate of 15 sandwiches per 10 hour shift.

Proportions are defined as the concept where two or more ratios are set to be equal to each other.

Question 1 :

Number of associates = 30

Number of direct workers = 30 - 2 = 28

You work 8 hours a day and 5 days a week with two 15 minutes break or 30 minutes break per day.

Direct rate = 150 units per hour

Number of working hours in a week with break = 8 × 5 = 40 hours per week Number of working hours in a week = 7.5 hours per day × 5 days a week

                                                            = 37.5 hours per week

Units that department produce in a 40 hour week = 37.5 × 150 = 5625 units

28 people produce 5625 units in a week

Let x people produce 10,000 + 5625 = 15,625 units in a week

Using proportion,

28 : 5625 = x : 15,625

28 / 5625 = x / 15,625

x = (28 × 15,625) / 5625 = 77.78 ≈ 78

Extra people required = 78 - 28 = 50

Question 2 :

Number of sandwiches made in 10 minutes = 1

Number of sandwiches made in 10 hours = 60

5 workers are there. one worker makes 60/5 = 12 sandwiches

But Deli want number of sandwiches in 10 hours = 75

One worker should make 75/5 = 15 sandwiches instead of 12.

Number of sandwiches made in 8 minutes should be 1.

So the working efficiency on each worker should be increased and produce each one should produce 15 sandwiches in a 10 hour shift.

Hence extra people required in question 1 is 50 and efficiency of each worker in question 2 should be increased to 15 sandwiches in 10 hours shift.

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