Mia has 140 cookies to sell. There are 4 different types of cookies.
1
4 of the cookies are chocolate chip
1
• 7 of the cookies are peanut butter
2
5 of the cookies are M&M
• The rest are sugar cookies
How many sugar cookies are there?

In a one-sample t-test to determine if the mean level, the null distribution of the test statistic is t(20).  The p-value for this hypothesis test falls in the interval (0.01, 0.025).

Explanation: In a one-sample t-test, the null hypothesis assumes that the mean level of Selenium in the blood for elderly people remains at the historical value of 19.6 mg/dL. The alternative hypothesis states that the mean level has increased. The null distribution of the test statistic is t(20) since the sample size is 21, resulting in 20 degrees of freedom (n-1).

To compute the observed value of the test statistic, we use the formula:

t = (sample mean - hypothesized mean) / (sample standard deviation / √n)

Given the sample mean of 22.1889, the hypothesized mean of 19.6, and the sample standard deviation of 4.225254, we can plug in these values to calculate the observed value of the test statistic. The calculation gives t ≈ 2.267.

The p-value is the probability of observing a test statistic as extreme as the observed value, assuming the null hypothesis is true. Since the p-value is less than 0.025 (but greater than 0.01), we can conclude that there is significant evidence to reject the null hypothesis in favor of the alternative hypothesis. This indicates that the mean level of Selenium in the blood for elderly people has increased from the historical value.

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All of the statements are true. The statements can be evaluated as follows-

1. As of 2019, the most recent comparable data for India indicated that over 58% of the population were living on less than $1.90 per day; and 21% were below $3.10 per day. (True)

2. Since independence, Burundi and Rwanda are on different development trajectories, mainly due to the fact that the former did not have to face violent conflict while the latter experienced a devastating genocide. (True)

3. An underdevelopment trap can be seen as a low-level investment equilibrium for a family, community, or nation. (True)

4. An underdevelopment trap is an equilibrium outcome when complementarities and coordination failures arise. (True)

5. An underdevelopment trap can be seen as a vicious circle in which poverty and underdevelopment lead to more poverty and underdevelopment, often from one generation to the next. (True)

6. China has benefited from a demographic dividend that occurs in the process of economic development after the drop in births per woman but before the previous larger cohorts retire. (True)

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As of 2019, the most recent comparable data for India indicated that over of the population were living on less than $1.90 per day; and were below $3.10 per day. 58%,21% 12%,58% 21%,85% 21%,58% Since independence Burundi and Rwanda are on different development trajectories, mainly due to the fact that the former did not have to face violent conflict while the latter experienced a devastating genocide. True False An underdevelopment trap can be seen as a low-level investment equilibrium for a family, community, or nation. is an equilibrium outcome when complementarties and coordination failures arise. all of the other answers are correct. can be seen as a vicious circle in which poverty and underdevelopment lead to more poverty and underdevelopment, often from one generation to the next. China has benefited from a demographic dividend that occurs in the process of economic development after the drop in births per woman but before the previous larger cohorts retire. True False

The income elasticity of demand is positive, implying that chocolate is a normal good = 0.037

The demand function, Q = 54−5P + 4PA + 0.1Y.

Where Q is the quantity of chocolate demanded, P is the price of chocolate, PA is the price of an apple, and Y is income.

(i) The own-price elasticity of demand for chocolate, we first need to find the expression for it.

The own-price elasticity of demand can be expressed as:

Own-price elasticity of demand = (Percentage change in quantity demanded) / (Percentage change in price)Or,E

P = (ΔQ / Q) / (ΔP / P)E P = dQ / dP * P / Q

Let's calculate the own-price elasticity of demand:

EP= dQ / dP * P / Q= (-5) / (54 - 5P + 4PA + 0.1Y) * 3 / 30

= -0.1667

So, the own-price elasticity of demand for chocolate is -0.1667.

(ii) The cross-price elasticity of demand, we must first determine the expression for it.

The cross-price elasticity of demand can be expressed as:

Cross-price elasticity of demand

= (Percentage change in quantity demanded of chocolate) / (Percentage change in price of apples) Or, E

PA = (ΔQ / Q) / (ΔPA / PA)E PA = dQ / dPA * PA / Q

Let's calculate the cross-price elasticity of demand:

EP = dQ / dPA * PA / Q= (4) / (54 - 5P + 4PA + 0.1Y) * 2 / 30= 0.0296

So, the cross-price elasticity of demand is 0.0296.

(iii) The income elasticity of demand can be expressed as:

Income elasticity of demand = (Percentage change in quantity demanded) / (Percentage change in income)Or,E

Y = (ΔQ / Q) / (ΔY / Y)E Y = dQ / dY * Y / Q

Let's calculate the income elasticity of demand: EY = dQ / dY * Y / Q= (0.1) / (54 - 5P + 4PA + 0.1Y) * 100 / 30

= 0.037

The own-price elasticity of demand is negative, meaning that the quantity demanded of chocolate decreases when the price of chocolate increases.

The cross-price elasticity of demand is positive, indicating that chocolate and apples are substitute goods.

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the left-endpoint sum using four subintervals for the function f(x) = -11 on the interval [4, 5] is -2.75.

To compute the left-endpoint sum using n subintervals, we partition the interval [4, 5] into n equal subintervals of length Δx = (5-4)/n = 1/n. Then, we evaluate the function at the left endpoint of each subinterval and multiply by the width of the subinterval, and finally sum up these values.

For the function f(x) = -11 on [4, 5], we have:

Δx = 1/n

x0 = 4

xi = x0 + iΔx = 4 + i/n, for i = 1, 2, ..., n.

The left endpoint of each subinterval is xi-1, so we have:

L_n = Δx [ f(x0) + f(x1) + ... + f(x_{n-1}) ]

 = Δx [ f(4) + f(4 + 1/n) + f(4 + 2/n) + ... + f(4 + (n-1)/n) ]

 = (1/n) [ -11 + (-11) + ... + (-11) ]   (there are n terms)

 = -11/n

To find L4, we plug in n=4 into the formula we just derived:

L4 = -11/4 = -2.75 (rounded to four decimal places)

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Answer:

25.44

Step-by-step explanation:

Each meal cost $12.00 and there are two people sharing the bill (Annie and Sarah)

     ⇒ Therefore, we can add the two meals together to get 24 ( 12+12)

Now, we can multiply 24 by 0.06

  ⇒ which gives us 1.44

Add 24 and 1.44 together

  ⇒ and that is how we get 25.44

Answer:

m  = 2

m = 2,75

Step-by-step explanation:

Được-

Phương trình =

4 ^ x + 4 ^ -x = 2 ^ (x + 1) - 2 ^ (1-x) + 4-m

Thay các giá trị của x = 0 vào phương trình đã cho ta được

4 ^ 0 + 4 ^ -0 = 2 ^ (0 + 1) - 2 ^ (1-0) + 4-m

1 +1 = 2 -2 + 4-m

m = 4-2 = 2

Thay các giá trị của x = 1 vào phương trình đã cho ta được

4 ^ 1 + 4 ^ -1 = 2 ^ (1 + 1) - 2 ^ (1-1) + 4-m

4 + 0,25 = 4 - 1 + 4 -m

m = 7-4,25 = 2,75

To estimate errors in the approximations t8 and m8, we can use the fact that the range of the sine and cosine functions is bounded by ±1.

In part (a), we have approximations t8 and m8.

To estimate the error in t8, we can compare it to the actual value of the function. Let's denote the actual value of the function at t8 as T8. Since the range of the sine function is bounded by ±1, the maximum error in the approximation t8 would be |t8 - T8| ≤ 1.

Similarly, to estimate the error in m8, we can compare it to the actual value of the function. Let's denote the actual value of the function at m8 as M8. Since the range of the cosine function is also bounded by ±1, the maximum error in the approximation m8 would be |m8 - M8| ≤ 1.

Therefore, the estimated errors in the approximations t8 and m8 are |et| ≤ 1 and |em| ≤ 1, respectively.

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Answer:

1/2

Step-by-step explanation:

Answer:

1/2 i think

Step-by-step explanation:

hope this helps :))

The answer is D) 5/4.

To find the limit of the given function as x approaches 2, we can plug the value of 2 directly into the function. However, since the denominator of the function becomes 0 when x=2, we need to simplify the function first.

(x^2 + x - 6)/(x^2 - 4) can be factored as [(x+3)(x-2)]/[(x+2)(x-2)].

We can then cancel out the common factor of (x-2) in the numerator and denominator, leaving us with (x+3)/(x+2) as the simplified function.

Now, we can plug in the value of 2 into this simplified function:

limx→2 (x+3)/(x+2)

= (2+3)/(2+2)

= 5/4

Therefore, the answer is D) 5/4.

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Step-by-step explanation:

1-a ,2-c,3_d

i thibk is you're answer

Hi there!

\(\large\boxed{4x - 2}\)

7x - (3x + 2)

Simplify by distributing the negative sign:

7x - (3x) - (2)

Combine like terms:

4x - 2

Answer:

2(2x - 1)

Step-by-step explanation:

opening the parenthesis and distributing the - sign to both 3x and 2

= 7x - 3x - 2

= 4x - 2

taking 2 common

= 2 (2x - 1)

Answer:

This is a function

Step-by-step explanation:

It's a function because those x's that repeat has the same y's meaning that this is a function.

Answer:

yes (i think)

Step-by-step explanation:

none of the x values are shared by different multiple y values, so yes it is a function.

The ounces of food eaten by Becca is 29 ounces.

This is a question of linear equation in one variable.

Given that:-

Total amount of food eaten by Liz and Becca = 152 ounces

Also, Liz ate seven more ounces that 4 times the amount Becca ate.

We have to find the ounces of food eaten by Becca.

Let the ounces of food eaten by Becca be x.

Hence, we can write,

Food eaten by Liz = (4x + 7) ounces

Total food eaten = 152 ounces = x + (4x + 7) = 5x + 7

Hence,

152 = 5x + 7

5x = 152 - 7

5x = 145

x = 145/5 = 29 ounces.

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Answer:

the diameter of a circle always passes the center, by knowing two diameters, you know the center is where they intersect

Step-by-step explanation:

yeah

Answer:

  (d)  The slope is −0.3, which indicates a negative correlation

Step-by-step explanation:

You want to identify the slope and its meaning when the line of best fit has the equation y = 3.9 -0.3x.

The equation is in slope-intercept form:

  y = mx +b . . . . . . . . line with slope m and y-intercept b

Comparing the equations, we see ...

  m = -0.3

  b = +3.9

The slope is m = -0.3. The negative slope of the line of best fit means the correlation is negative. The best description is ...

  (d)  The slope is -0.3, which indicates a negative correlation.

__

Additional comment

The sign of the slope is the sign of the correlation coefficient.

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There are 144 ways to form a five-digit number that is divisible by 5 using the numerals 0, 1, 2, 3, 4, and 5 without repetition.

For the number to be divisible by 5, its units digit must be either 0 or 5. Since we cannot repeat digits, we have two cases to consider:

Case 1: The units digit is 0.

In this case, we have 5 choices for the units digit (0, 1, 2, 3, or 4). For the remaining four digits, we can choose them in 4! ways (i.e., 4 choices for the first digit, 3 choices for the second digit, 2 choices for the third digit, and 1 choice for the fourth digit).

Therefore, the total number of five-digit numbers that are divisible by 5 and have a units digit of 0 is:

5 × 4! = 120

Case 2: The units digit is 5.

In this case, we have only one choice for the units digit, which is 5. For the remaining four digits, we can choose them in 4! ways as before.

Therefore, the total number of five-digit numbers that are divisible by 5 and have a units digit of 5 is:

1 × 4! = 24

The total number of ways to form a five-digit number that is divisible by 5 without repeating digits is the sum of the numbers from both cases:

120 + 24 = 144

Therefore, there are 144 ways to form a five-digit number that is divisible by 5 using the numerals 0, 1, 2, 3, 4, and 5 without repetition.

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bac=57

Step-by-step explanation:

lmk=50

abc= 63 (if they are parallel)

Therefore, the dimensions of the kennel are 3.5 feet by 9 feet.

In mathematics, area is a measure of the amount of space inside a two-dimensional shape, such as a rectangle, circle, triangle, or polygon. It is expressed in square units, such as square meters (m²), square feet (ft²), or square centimeters (cm²). Knowing the area of a shape can be useful in many real-world situations, such as calculating the amount of paint needed to cover a wall, determining the size of a piece of land, or estimating the amount of material needed for a construction project.

Here,

Let the length of the kennel be L and the width be W. Since we are using 25 feet of fence material, the total length of fencing we need is:

2L + W = 25 - 9 = 16

We also know that one side of the kennel is 9 feet long, so we can substitute W = 9 into the equation above to get:

2L + 9 = 16

Subtracting 9 from both sides gives:

2L = 7

Dividing by 2 gives:

L = 3.5

So the length of the kennel is 3.5 feet and the width is 16 - 2(3.5) = 9 feet.

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Answer:

The amount to be received is Rs. 4550

Step-by-step explanation:

Mathematically, amount is principal Plus interest

We can calculate the interest using the simple interest formula

Mathematically;

I = PRT/100

I = (3500 * 7.5 * 4)/100

I = 1050

So the amount will be ;

1050 + 3500 = 4,550 Ruppee

Answer:

1. 0/10

2. -9/0

Step-by-step explanation:

you want to do the second y- the first y / the second X-the first x

Answer:

Each container weigh 10^3pounds

Step-by-step explanation:

The question lacks the necessary values. Let's restructure the question and include values.

Your roommate's closet is full of skeletons. There are containers full of skeletons which weigh 100,000 pounds total. If there are 100 containers, how much does each container weigh? Leave your answer in the form a^b.

From the question, we are given the following;

Weight of containers full of skeleton = 100000 pounds

Number of containers = 100

Required

Weight of each container

Let's say:

100containers = 100000pounds

1 container = xpound

Cross multiply

100×x = 100,000

Divide both sides by 100

100x/100 = 100,000/100

x = 10,000/100

x = 10^5/10^2

Using the law of indices

x = 10^{5-2}

x = 10^3

Hence the answer in form of a^b is 10^3 pounds.

The average speed, in miles per hour, of car X for the 2-hour trip is 56 mph.

The average speed, in miles per hour, of car x for the 2-hour trip is 56 mph.Let’s first identify what the given is.The problem states that car X and car Y started from the same point and traveled on a straight course in opposite directions for 2 hours, at which time they were 208 miles apart. The problem also states that car X traveled, on average, 8 miles per hour faster than car Y.So we have two cars, X and Y, that traveled in opposite directions.

In this problem, we are asked to find the average speed of car X for the 2-hour trip.Let’s use the formula that relates distance, speed, and time. For any given problem, this formula will help us determine which variable we need to solve for.distance = speed × timeSo, in this problem, we know the time and distance, but we need to find the speed.

We can use the information given in the problem to set up an equation for the two cars.Using the formula, we can set up the following equation for car X:dX = speedX × 2Using the same formula, we can set up the following equation for car Y:dY = speedY × 2Since car X traveled, on average, 8 miles per hour faster than car Y, we can write this as speedX = speedY + 8.

Now we know that the sum of the distances that car X and car Y traveled is equal to the total distance that separates them. Using this information, we can set up the following equation:dX + dY = 208To solve for the speed of car X, we need to isolate speedX in the equation that relates speedX and speedY. We can do this by substituting the equation for dX and dY in the equation that relates speedX and speedY.

This gives us the following equation:(speedY + 8) × 2 + speedY × 2 = 208Simplifying this equation, we get:4 speedY + 16 = 2084 speedY = 192speedY = 48 mphNow that we know the speed of car Y, we can use the equation for speedX and speedY to find the speed of car X. This gives us:speedX = speedY + 8 = 48 + 8 = 56 mph.

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8√2 u ²

1) Since, we've been given those points let's find their distances through this formula below, derived from the Pythagorean Theorem:

Side GH:

2) Plotting the graph and using the side GH as the base and tracing a height 8 units plugging into the formula for the area

The correct answer is b. Each block should consist of volunteers who live in similar environments when it comes to mosquitoes.

Explanation:

In a randomized block design, blocks are formed to control for potential confounding factors or sources of variation that may affect the outcome of the experiment. By forming blocks based on similar environments when it comes to mosquitoes, the researchers ensure that any differences in the effectiveness of the bracelet and bug spray are not solely due to variations in mosquito exposure.

If the researchers were to choose option a (both the volunteers and researchers should be kept blind as to which block the volunteers are in), it would be related to blinding the participants and researchers to the treatment assignment, not forming blocks. This method does not address the need for controlling potential confounding factors.

Option c (each block should consist of volunteers who live in different environments when it comes to mosquitoes) would not be suitable because it would introduce additional variability and make it difficult to compare the effectiveness of the bracelet and bug spray.

Option d (each volunteer should be randomly assigned to a block) is not recommended in this case because it does not take into account potential confounding factors related to mosquito exposure.

Option e (volunteers in one block should use the bracelet, while volunteers in the other block should use bug spray) does not control for potential confounding factors, as individuals in different blocks may have different levels of mosquito exposure.

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Using the normal approximation to the binomial, there is a 0.9713 = 97.13% probability that the sum of these variables is less than 60.

This problem is incomplete, but researching it on a search engine, it asks the probability that the sum of these Bernoulli variables is of less than 60.

The z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The binomial distribution is a series of n Bernoulli trials with p probability of a success on each trial, hence the parameters for the binomial distribution are given as follows:

n = 100, p = 0.5.

The mean and the standard deviation are given by:

Using continuity correction, the probability that the sum is less than 60 is P(X < 59.5), which is the p-value of Z when X = 59.5, hence:

\(Z = \frac{X - \mu}{\sigma}\)

Z = (59.5 - 50)/5

Z = 1.9

Z = 1.9 has a p-value of 0.9713.

Hence there is a 0.9713 = 97.13% probability that the sum of these variables is less than 60.

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The reason given for the statement are based on information from

the question, or a postulate or theorem.

Reasons:

The two column proof in the question is presented as follows;

Statement             \({}\)          Reason

1. ∠A ≅ ∠C            \({}\)          Given

2. ∠DEA ≅ ∠BEC        \({}\)    Given (Error)

3. \(\overline{AE}\) ≅ \(\overline{EC}\)            \({}\)         Given

4. ΔAED ≅ ΔCEB         \({}\)   Angle-Side-Angle congruence

Required:

The first error made in the proof

Solution:

The first error made in the above proof is the reason for statement 2.

2. ∠DEA ≅ ∠BEC \({}\)   Given (Error)

The correct reason is as follows;

2. ∠DEA ≅ ∠BEC \({}\)   Vertical angle postulate

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Answer:

A. Zoe used an invalid reason to justify the congruence of a pair of sides or angles.

Step-by-step explanation:

Step 1

The diagram does support the claim that \angle A \cong \angle C∠A≅∠Cangle, A, \cong, angle, C because they both have double arcs.

Step 1 is correct.

Step 2

The diagram does not give us congruence symbols or equal measures for \angle DEA∠DEAangle, D, E, A and \angle BEC∠BECangle, B, E, C.

Zoe needed to justify this step by stating that vertical angles are congruent.

Zoe used an invalid reason to justify the congruence of a pair of sides or angles.

Answer:

x = 6/7

Step-by-step explanation:

Answer:

1/4, -1/4

Step-by-step explanation:

Simply solve for y

Answer:

15 nights

Step-by-step explanation:

44 cm over 11 nights equals 4 cm per night

let 'n' = number of nights

4n = 60

n = 15