Pls help im in a hurry

For a researcher's sample of cigarette smoker with average 31 cigarettes a day, as t( critical value) > 0.05, so Null hypothesis can't be rejected and it concludes that the true mean number of cigarettes smoked per day is greater than 31, α=0.05.

We have a researcher who see that a cigarette smoker smokes on average 31 cigarettes a day. So, population or true mean = 31

Now, a sample of smokers is considered with Sample size, n = 10

Mean number of cigarettes they smoked per day = 28

Standard deviations = 2.7

level of significance = 0.05

We have to check the claim of researcher is true. Consider null and alternative hypothesis as right tailed, \(H_ 0 : \mu = 31\)

\(H_ a : \mu > 31\)

Using t- test for test statistic value :

\(t= \frac{\bar X -\mu}{ \frac{\sigma }{\sqrt{n}}}\)

Substitute all known values,

\(t= \frac{ 28 - 31}{ \frac{ 2.7 }{\sqrt{10} }}

\)

\(= \frac{ - 3}{ \frac{ 2.7 }{\sqrt{10} }}\)

= - 3.51364184463

degree of freedom, df = n - 1 = 9

From the t distribution table, the critical value for \(d_f = 9 \: and \: \alpha = 0.05\) is equals to 1.833. Since our computed t( critical) = 1.833 > 0.05, is not in the rejection region, we do not reject the null hypothesis. Hence, There is not enough evidence to support claim.

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For a researcher's sample of cigarette smoker with average 31 cigarettes a day, as t( critical value) > 0.05, so Null hypothesis can't be rejected and it concludes that the true mean number of cigarettes smoked per day is greater than 31, α=0.05.

We have a researcher who see that a cigarette smoker smokes on average 31 cigarettes a day. So, population or true mean = 31

Now, a sample of smokers is considered with Sample size, n = 10

Mean number of cigarettes they smoked per day = 28

Standard deviations = 2.7

level of significance = 0.05

We have to check the claim of researcher is true. Consider null and alternative hypothesis as right tailed,

Using t- test for test statistic value :

Substitute all known values,

= - 3.51364184463

degree of freedom, df = n - 1 = 9

From the t distribution table, the critical value for  is equals to 1.833. Since our computed t( critical) = 1.833 > 0.05, is not in the rejection region, we do not reject the null hypothesis. Hence, There is not enough evidence to support claim.

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Answer:

Trina is 45 years old.

Her grandfather is 50 years old.

Step-by-step explanation:

Trina is 5 years younger than grandfather, therefore:

45+50 = 95

The basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.

The given piecewise-defined function f(x) has different expressions for different intervals. For x greater than or equal to zero, f(x) takes the value of x. For x less than zero, f(x) is equal to -x. We need to find a basic function that captures this behavior.

Among the options provided, f(x) = |x| is equivalent to the given piecewise function. The absolute value function, denoted by |x|, returns the positive value of x regardless of its sign. When x is non-negative, |x| equals x, and when x is negative, |x| is equal to -x, mirroring the conditions of the piecewise-defined function.

The function f(x) = |x| represents the absolute value of x and matches the behavior of the given piecewise-defined function, making it the equivalent basic function.

In summary, the basic function equivalent to the piecewise-defined function f(x) = x if x ≥ 0 and -x if x < 0 is f(x) = |x|, which represents the absolute value of x.

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wait do you mean that one magazine is 2/11 inches thick

A and B have the same elements, the measure of AUB will be equal to the measure of B.

To show that if m*(A) = 0, then m*(AUB) = m*(B), we need to prove the following:
1. If m*(A) = 0, then A is a null set.
2. If A is a null set, then AUB = B.
3. If AUB = B, then m*(AUB) = m*(B).
Let's break down each step:
1. If m*(A) = 0, then A is a null set:
  - By definition, a null set has a measure of 0.
  - Since m*(A) = 0, it implies that A has no elements or its measure is 0.
  - Therefore, A is a null set.
2. If A is a null set, then AUB = B:
  - Since A is a null set, it means that it has no elements or its measure is 0.
  - In set theory, the union of a null set (A) with any set (B) results in B.
  - Therefore, AUB = B.
3. If AUB = B, then m*(AUB) = m*(B):
  - Since AUB = B, it implies that both sets have the same elements.
  - The measure of a set is defined as the sum of the measures of its individual elements.
  - Since A and B have the same elements, the measure of AUB will be equal to the measure of B.
  - Therefore, m*(AUB) = m*(B).
By proving these three steps, we have shown that if m*(A) = 0, then m*(AUB) = m*(B).

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Answer:

YES

Step-by-step explanation:

Finding Rate of Change. When finding the slope of real-world situations, it is often referred to as rate of change. “Rate of change” means the same as “slope.” If you are asked to find the rate of change, use the slope formula or make a slope triangle

Answer:

Step-by-step explanation:

AB=-6×-5÷-1×3

AB= 30÷-3

A correlation of .9 indicates that 81% of the variance between two variables has been explained.

Correlation measures the strength of the relationship between two variables. A perfect positive correlation is 1.0, indicating that the two variables move in the same direction together. A perfect negative correlation is -1.0, indicating that the two variables move in opposite directions. A correlation of 0 indicates no relationship between the two variables.

To determine the proportion of variance explained by a correlation, you need to square the correlation coefficient (in this case, 0.9). This is called the coefficient of determination (R^2). So, you calculate:

R^2 = (0.9)^2 = 0.81

Thus, a correlation of 0.9 explains 81% of the variance between the two variables.

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To calculate the number of votes that Mr. Dyer received, we need to multiply the ratio with the total votes. Mr. Dyer received 1,080 votes.

Ratio of votes = 4:3:2

Total votes = 4 + 3 + 2 = 9

Total votes cast = 2,700

Mr. Dyer's votes = (4/9) x 2,700 = 1,080 votes

The ratio of votes cast for Mr. Dyer, Ms. Frau and Mr. Borak was 4:3:2 respectively. This means that for every 9 votes cast, 4 votes were for Mr. Dyer, 3 votes were for Ms. Frau and 2 votes were for Mr. Borak. Since none of the 2,700 voters cast more than one vote, the total votes cast for each candidate would be 2,700. To calculate the number of votes that Mr. Dyer received, we need to multiply the ratio with the total votes. Therefore, Mr. Dyer received 1,080 votes (4/9 x 2,700).

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Answer:

h = 16 m

Step-by-step explanation:

Given that,

The area of a trapezium, A = 700 m²

The sum of the length of the parallel sides = 70 m

The area of a trapezium is given by :

\(A=\dfrac{1}{2}\times \text{sum of parallel sides}\times height\\\\h=\dfrac{2A}{Sum}\\\\=\dfrac{2\times 700}{70}\\\\=20\ m\)

So, the height of the flower bed is 20 m.

Answer:

D. 6 1/12

Step-by-step explanation:

First add the like fractions.

3 2/3 + 2/3 = 3 4/3 (Don't worry about simplifying yet)

Now find the least common multiple for 3 4/3 and 1 3/4 so we can add them.

3: 3, 6,  9, 12

4: 4, 8, 12

In this case 12 is the least common multiple.

3/4 x 3/3 = 9/12    9/12

4/3 x 4/4 = 16/12

Add those two fractions then add the whole numbers and put it in front.

4 25/12

Simplify

6 1/12

Answer:

d

Step-by-step explanation:

Answer: 5

Step-by-step explanation: with these problems you're supposed to add all the numbers and then you divide it by the number you're asking to find the probability of so 10/2=5

The probability that the dial stops on a red slice, when it is spun and stops on a slice at random is 1/5.

Probability of an event is the ratio of number of favorable outcome to the total number of outcome of that event.

A spinner with 10 equally sized slices has 2 red slices, 4 yellow slices, and 4 blue slices.

The total number of slices is 10 and the total number of favorable outcome to get a red slice is 2. Thus, the probability that the dial stops on a red slice is,

\(P=\dfrac{2}{10}\\P=\dfrac{1}{5}\)

Thus, the probability that the dial stops on a red slice, when it is spun and stops on a slice at random is 1/5.

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Answer:

-4

Step-by-step explanation:

The roots are 7 and -3, so the factored version is (x - 7) (x + 3)

Foil them and you get x^2 - 4x - 21

Answer:

(C)85.56 cm², 12.4 cm

Step-by-step explanation:

The Area of the screen of the new phone is :

19.68cm² + Area of the current phone screen size

The current phone screen size has dimensions: 6.1 cm and 10.8 cm,

Area of the current phone screen size = 6.1 cm × 10.8cm

Area of the current phone screen size = 65.88 cm²

Hence, The Area of the screen of the new phone is :

19.68cm² + Area of the current phone screen size

= 19.68cm² + 65.88cm²

= 85.56 cm²

The new phone screen must have an area of 85.56cm², which is the product of 6.9 cm and ___

The is calculated as:

85.56cm²/6.9cm

= 12.4cm

Therefore, the new phone screen must have an area of 85.56cm², which is the product of 6.9 cm and 12.4cm

Option C is correct

Answer:  1. Mary Ann has saved $2 more than Carlos

Step-by-step explanation: At 3 hours...

Carlos has $26 according to chart

Mary Ann has...

y=6(3)+10

y=18+10

y=28

so

28-26=2

she has 2 more dollars than him

The difference in their savings after 3 hours of working is option 1. Mary Ann has saved $2 more than Carlos.

A linear function can be defined as the function whose graph is a straight line. It can also be defined as the function with one or more variables and the exponent of the variable is 1.

Given are two linear functions.

Let x represent the number of hours each person works y represent the total earnings in dollars.

Savings of Mary Ann is represented as,

y = 6x + 10

Savings of Carlos is represented in the graph shown.

After working 3 hours,

Savings of Mary Ann = (6 × 3) + 10 = $28

From the graph,

Savings of Carlos = $26

Difference in the savings = $28 - $26 = $2

Hence Mary Ann has saved $2 more than Carlos.

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The graph of the curve x = cos(t), y = sin(2t) is concave upward on the intervals [0, π/2] and [π, 3π/2], and concave downward on the intervals [π/2, π] and [3π/2, 2π].

The curve x = cos(t), y = sin(2t) lies in the xy-plane, and it has parametric equations

x = cos(t),y = sin(2t),

for t in [0,2π].

Now, for this curve we can find its second derivative with respect to the variable t.

The second derivative of the curve is given by

y'' = -4 sin(2t).

We notice that this function changes sign only at t = 0, t = π/2, t = π, and t = 3π/2.

Therefore, the curve is concave upward on the interval [0, π/2] and on the interval [π, 3π/2], while the curve is concave downward on the interval [π/2, π] and on the interval [3π/2, 2π].

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Rounding 2.079404467 to 1 decimal place means keeping only one digit after the decimal point.

Looking at the second digit after the decimal point, which is 7, we see that it is greater than or equal to 5. Therefore, we round up the first digit after the decimal point, which is 9, by adding 1 to it.

So, rounding 2.079404467 to 1 decimal place, we get:

2.1

Therefore, 2.079404467 to 1 decimal place is equal to 2.1.

The inequality equation will be 0 < -15 - y. Then the value of the variable y is less than negative 15.

Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.

Zero is less than negative fifteen decreased by y, can be written as mathematically

0 < -15 - y

Then solving for y, we have

y < -15

The value of the variable y is less than negative 15.

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To prove that triangle FGE and triangle IJH we need information like the two sides of each triangle and the included angle to be congruent.

To prove two triangles are similar by the SAS is that you need to show that two sides of one triangle are proportional to two corresponding sides of another triangles, with the included corresponding angles being congruent.

For the SAS postulate you need two sides and the included angle in both triangles.

Side-Angle-Side (SAS) postulate:-

If two sides and the included angles of one triangle are congruent to two sides and the included angle of a second triangle, then the two triangles are congruent. SAS postulate relate two triangles and says that two triangles are congruent if two sides and the included angle of one triangle are congruent to two sides and the included angle of another triangle.

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The function S(t) = -15t^(5/3) + C which we get by integration of S'(t) and the company  will continue to manufacture this computer for approximately 5.47 months.

To find S(t), we need to integrate the given rate of decline, S'(t), with respect to time (t). We have:

S'(t) = -25t^(2/3)

Integrating both sides with respect to t, we get:

S(t) = ∫(-25t^(2/3) dt)

Using the power rule for integration, we obtain:

S(t) = (-25 * (3/5) * t^(5/3)) + C
S(t) = -15t^(5/3) + C

Now, we're given that at t = 0, S(0) = 2,050 computers. We can use this information to find the constant of integration, C:

S(0) = -15(0)^(5/3) + C
2,050 = C

Thus, the function for the monthly sales is:

S(t) = -15t^(5/3) + 2,050

The company will stop manufacturing when S(t) = 1,000 computers. To find when this occurs, we'll set S(t) equal to 1,000 and solve for t:

1,000 = -15t^(5/3) + 2,050
-1,050 = -15t^(5/3)

Now, isolate t^(5/3) and solve for t:

t^(5/3) = 1,050 / 15
t^(5/3) = 70

Take the cube root of both sides:

t^(5/3)^(3/5) = 70^(3/5)
t = 70^(3/5)

Calculating this value, we get approximately:

t ≈ 5.47

So, the company will continue to manufacture this computer for approximately 5.47 months.

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Answer: Blue felt = 20*2.5 = 5074-50=24 yards of red24/20 = 1.2 each student gets 1.2 yards of red felt So the answer is 1.2 Yards.each of his 20 students gets 2.5 yards of blue felt for the project. He also gives each student an equal amount of red felt.

Step-by-step explanation:

Answer:

9 cm

Step-by-step explanation:

It say ΔLMN and Δ PQR is equal

Therefore, LN is 9 cm Then PQ is 9 cm Too.

The standard deviation of the sample data is 4.6 and the variance is 21.2.

To compute the variance, follow these steps:

1. Calculate the mean (average) of the data values. In this case, (6 + 17 + 14 + 7 + 16) / 5 = 12.

2. Subtract the mean from each data value and square the result. For each value: (6 - 12)² = 36, (17 - 12)² = 25, (14 - 12)² = 4, (7 - 12)² = 25, and (16 - 12)² = 16.

3. Calculate the sum of all the squared differences: 36 + 25 + 4 + 25 + 16 = 106.

4. Divide the sum by the number of data values (5) to get the variance: 106 / 5 = 21.2 (rounded to 1 decimal place).

To compute the standard deviation, take the square root of the variance.

Standard deviation = √(21.2) = 4.6

Variance measures how much the data values differ from the mean, while the standard deviation represents the average amount of deviation from the mean. In this sample, the variance is 21.2 and the standard deviation is 4.6. These metrics help quantify the spread and variability of the data set.

Therefore the standard deviation of the sample data is 4.6.

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Trent will need a total of 100 star stickers to line both the top and bottom edges of his 0.75-meter-long poster, with each sticker being 15 millimeters wide.

To find out how many star stickers Trent needs for his poster, you should first convert the length of the poster and the width of the stickers to the same unit, either meters or millimeters.

Step 1: Convert the length of the poster to millimeters (1 meter = 1000 millimeters)
0.75 meters * 1000 = 750 millimeters

Step 2: Divide the length of the poster by the width of a star sticker
750 millimeters / 15 millimeters = 50 stickers

Step 3: Since there are two edges (top and bottom) of the poster, multiply the number of stickers needed for one edge by 2
50 stickers * 2 = 100 stickers


Trent needs 100 star stickers for his poster. First, convert the length of the poster to millimeters, which is 750 millimeters. Then divide this length by the width of a star sticker, 15 millimeters, which results in 50 stickers. Since there are two edges, multiply by 2 to get 100 stickers in total.


Trent will need a total of 100 star stickers to line both the top and bottom edges of his 0.75-meter-long poster, with each sticker being 15 millimeters wide.

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Answer:60118.93636

Step-by-step explanation: Based on the given conditions, formulate:: 49236.45 x (10.5%+1)² Evaluate the equation/expression:: 60118.93636

Answer:

-300

Step-by-step explanation:

Step 1:  Find the amount Elmer's funds decreased after purchasing the rabbits:

Let x represent Elmer's funds.

Since Elmer bought five rabbits for $10 each, he lost $10 5 times.

x - (10 * 5)

x - 50

Thus, Elmer lost (spent) $50 for the 5 rabbits.

Step 2:  Find the amount Elmer's funds decreased after purchasing the  cupboards:

Since Elmer bought four cupboards for $70 each, he lost $70 4 times:

x - (50 + (70 * 4))

x - (50 + 280)

x - 330

Thus, after purchasing the rabbits and cupboards, Elmer lost $330.

Step 3:  Find the amount Elmer's funds increased after finding the twenty-dollar bill:

Since Elmer found a twenty-dollar bill, he gained $20

x - (330 + 20)

x - 310

Step 4:  Find the amount Elmer's funds increased after returning one rabbit:

Since Elmer returned one rabbit, he gained $10:

x - (310 + 10)

x - 300

Thus, Elmer's funds changed totally by -$300.

Putting all the information together, we have:

x - 10 - 10 - 10 - 10 - 10 - 70 - 70 - 70 - 70 + 20 + 10

x - 50 - 280 + 30

x - 330 + 30

x - $300

Answer:

Equilateral

Step-by-step explanation:

All angles are the same, so the sides are the same as well

Classifications:

Scalene = no sides and angles are the same to others

Equilateral = All sides and angles are congruent

Isosceles = 2 sides and 2 angles are congruent.

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Answer: equilateral

Step-by-step explanation:

An equilateral triangle is a triangle where all the sides are the same length.

Answer:

Yz=12 cm

m<Y=26

Step-by-step explanation:

angle Z is congruent to angle X. Angle z also corresponds to side XY, which is 12cm. This means that side YZ (corresponds to angle x) is 12 cm.

77+77+x=180

154+x=180

x=26