How many tablespoons would you need if a recipe called for 1 ½ cups of flour?

The number of minutes a scented candle lasts if it burns out sooner than 80% of all scented candles is 244 minutes.

When the distribution is normal, we use the z-score formula.

In a set with mean µ and standard deviation σ , the z-score of a measure X is given by:

Z = (X – µ) / σ

The Z-score shows how many standard deviations the measure is from the mean. After finding the Z-score, need to look at the z-score table and discover the p-value associated with the z-score. This p-value is the probability that the value of the measure is smaller than X, means, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

So, in this case, given that:

µ = 249, σ = 20

The number of minutes a scented candle lasts if it burns out sooner than 80% of all scented candles:

100 – 80 = 20th percentile, which is X when Z has a p-value of 0.2. So, X when Z = –0.253.

Now, put all the values into the formula:

Z = (X – µ) / σ

–0.253 = (X – 249) / 20

X – 249 = –0.253 * 20

X = 244

Hence, the candle burns for 244 minutes.

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The mean of the total length is 36 inches, and the standard deviation is 0.17 inches. This means that on average, the total length of the sticks will be 36 inches, and there will be a variation of approximately 0.17 inches around this mean length.

The mean of the total length for both Alex and Brandon can be determined by multiplying the mean length of a single stick by the number of sticks required for each toy. In this case, each toy requires four 9-inch long sticks.

Mean of the total length for both Alex and Brandon: 4 sticks * 9 inches = 36 inches.

Since both Alex and Brandon have sticks with the same mean length and standard deviation, the standard deviation of the total length for both of them remains the same.

Standard deviation of the total length for both Alex and Brandon: 0.17 inches.

Therefore, The mean of the total length is 36 inches, and the standard deviation is 0.17 inches. This means that on average, the total length of the sticks will be 36 inches, and there will be a variation of approximately 0.17 inches around this mean length.

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So, the approximate probability of seeing more than 45 coin flips as heads out of 100 flips is approximately 0.1539, or 15.39%.

To approximate the probability of seeing more than 45 coin flips as heads out of 100 flips, we can use the central limit theorem. The central limit theorem states that for a large enough sample size, the distribution of the sum (or average) of independent and identically distributed random variables approaches a normal distribution.

In this case, each coin flip is a Bernoulli trial with a probability of success (getting heads) of 0.4. We can consider the number of heads obtained in 100 flips as a sum of 100 independent Bernoulli random variables.

The mean of a single coin flip is given by μ = np = 100 * 0.4 = 40, and the standard deviation is given by σ = sqrt(np(1-p)) = sqrt(100 * 0.4 * 0.6) ≈ 4.90.

Now, to approximate the probability of seeing more than 45 coin flips as heads, we can use the normal distribution with the mean and standard deviation calculated above.

Let X be the number of heads in 100 flips. We want to find P(X > 45).

Using the standard normal distribution, we can calculate the z-score for 45 flips: z = (45 - 40) / 4.90 ≈ 1.02

Using a standard normal distribution table or a calculator, we can find the probability associated with this z-score: P(Z > 1.02) ≈ 1 - P(Z < 1.02)

Looking up the value in the table, we find that P(Z < 1.02) ≈ 0.8461.

Therefore, P(Z > 1.02) ≈ 1 - 0.8461 ≈ 0.1539.

So, the approximate probability of seeing more than 45 coin flips as heads out of 100 flips is approximately 0.1539, or 15.39%.

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Answer:

3. 6 5. 3

Step-by-step explanation:

PEMDAS

3. 0.5 x (24) / 3 + 2

12/3 +2

4 + 2

6

5. (4 + 6/3) x 0.5

(4 + 2) x 0.5

6 x 0.5

3

Answer: number 3. is 6 and number 5. is 3

hope it helped

Inequalities ensure that Liam buys enough tickets (at least 20), and also that he stays within his budget (spends no more than $250).

Let's use the variables "a" and "c" to represent the number of adult and child tickets Liam buys, respectively. Then the total number of tickets he buys is a + c, and the total cost of the tickets is 15.75a + 13c.

To find the system of inequalities, we need to use the given information:

Liam wants to have at least 20 tickets: a + c ≥ 20

Each adult ticket costs $15.75 and each child ticket costs \($13: 15.75a\) + 13c ≤ 250 (since Liam wants to spend no more than \($250)\)

So the system of inequalities is:

a + c ≥ 20

15.75a + 13c ≤ 250

These inequalities ensure that Liam buys enough tickets (at least 20), and also that he stays within his budget (spends no more than \($250).\)

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The x position of  center of mass is =  0.389 m  , the y position of center of mass is = 0.444 m    .

In the question ,

it is given that , first stick lies along y-axis from y = 0.470 m to y = 1.47 m.

So , coordinate of first stick is (x1 , y1) = (0 , (0.47+1.47)/2) = (0 , 0.97)

the second stick lies along x-axis from x = 0.320 m to x = 1.32 m ,

So , the coordinate of second stick is (x2 , y2) = ((0.32+1.32)/2 , 0) = (0.82 , 0)

the third stick is positioned so that one end is on x-axis at x = 0.690 m, and the other end is on the y-axis at y = 0.724 m .

the coordinate of third stick is (x3 , y3) = (0.690/2 , 0.724/2) = (0.345 , 0.362)

So , x position of center of mass is x = (0 + 0.82 + 0.345)/3

= 0.389 m

So , y position of center of mass is y = (0.97 + 0 + 0.362)/3

= 0.444 m

Therefore , The x position of the center of mass is =  0.389 m  , the y position of center of mass is = 0.444 m    .

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Step-by-step explanation:

(A) squares are congruant .

(B) rectangle having equal length of same side is congruent.

(C)it is true because it have same side length are equal.

(D)it is true because same same side length are equal.

(E) it is truebecause same side length are equal.

The statements that are correct in the given question are: options A, B and C.

Quadrilaterals are figures or shape bounded by four straight sides. Thus each quadrilateral has its sum of interior angles to be \(360^{o}\). Examples include; rectangle, square, trapezium, rhombus, kite, parallelogram.

Considering the properties of each quadrilateral given in the question, it can be inferred that;

Therefore, the appropriate statements that are correct are: options A, B and C.

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This is a simple inequality problem involving absolute values.

The given inequality is: $-4 < |x-3|$.We need to find the range of real values of $x$ that satisfy this inequality.
First, let's consider the case when $x-3$ is positive. In this case, the absolute value of $x-3$ is simply $x-3$. So, we can write the inequality as: $-4 < x-3$
Adding $3$ to both sides, we get: $-1 < x$

This means that all values of $x$ greater than $-1$ satisfy the inequality when $x-3$ is positive.
Now, let's consider the case when $x-3$ is negative. In this case, the absolute value of $x-3$ is $-(x-3)$. So, we can write the inequality as: $-4 < -(x-3)$. Expanding the right-hand side, we get: $-4 < -x + 3$

Subtracting $3$ from both sides, we get: $-7 < -x$. Multiplying both sides by $-1$ (which reverses the inequality), we get: $x < 7$.This means that all values of $x$ less than $7$ satisfy the inequality when $x-3$ is negative. Putting both cases together, we have:$x < 7$ or $x > -1$
This is the final answer. We can express it more concisely as:
$-1 < x < 7$

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Answer:

Wheres the picture that gose with it ?

Step-by-step explanation:

Answer:

x= 17

Step-by-step explanation:

Go to

Answer:

A

✔ (1, 6)

B

✔ (0, 4)

C (3, 4)

D

✔ (2, 6)

Step-by-step explanation:

edge 2020.

the problem: What are the coordinates of the vertices of the pre-image given? ry= −x ◦ T1, −2(x, y)?

Answer:

a (1,6)

b (0,4)

d (2,6)

Step-by-step explanation:

edg 2021

A significance level of 0.05, the critical value for the right-tailed test is z = 1.645.

To test if the data provides enough evidence to conclude that the cream improved the skin of more than 60% of the women, we can conduct a hypothesis test.

Let p be the true proportion of middle-aged women who show skin improvement after using the anti-aging skin cream.

The null hypothesis is: H0: p ≤ 0.6

The alternative hypothesis is: Ha: p > 0.6

We can use a one-tailed z-test for proportions to test this hypothesis, where the test statistic is given by:

z = (P - p0) / sqrt(p0 * (1 - p0) / n)

where P is the sample proportion, p0 = 0.6 is the null hypothesis value, and n = 33 is the sample size.

From the table, we see that 26 out of 33 women showed skin improvement after using the cream. Therefore, the sample proportion is:

P = 26 / 33 = 0.7879

Substituting the values, we get:

z = (0.7879 - 0.6) / sqrt(0.6 * 0.4 / 33) = 2.162

Using a significance level of 0.05, the critical value for the right-tailed test is z = 1.645.

Since the calculated test statistic (z = 2.162) is greater than the critical value (z = 1.645), we reject the null hypothesis and conclude that there is enough evidence to suggest that the cream improved the skin of more than 60% of the women.

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Answer:

A, C, D and K

Step-by-step explanation:

Inequalities:

y ≤ −2x + 10  and  y >1/2x-2

Finding zeros for the first inequality:

Space to the left of this line (as y≤ ) is the solution for this inequality, any points on this line are inclusive.

Finding zeros for the second inequality:

Space above this line (as y > sign) is the solution for this inequality, any points on this line are not inclusive.

Now we have the space of intersection of the above inequalities.

So the points in same section are the solution.

They are:

See attached for explanation

As Malia walks her dog 140% of the distance walked by Tiara’s, so Tiara walks her dog less as compared to Malia’s. And the distance Tiara walks her dog is 5 miles.

Let us consider the distance covered by Tiara and Malia in walking their dogs be ‘x’ and ‘y’ respectively.

we have been provided with the value of ‘y’,  i.e.

                                               y = 7 miles

Now,

            Distance walked by Malia’s dog = 140% of the distance walked by Tiara’s dog

                                                               Or

                                                            y  = 140/100 × x

                                                            7   =  140/100 × x

Therefore,                                           x   =  100/140 × 7

                                                            x   = 5 miles

Hence, the distance Tiara walked her dog was 5 miles.

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Answer:

A 28°

Step-by-step explanation:

we see that the sum of angle 1 and 62° must be 90° (right angle).

90 = 62 + angle 1

28° = angle 1

Answer:

Hope the picture will help you......

Answer:

The answer would be 27 students

Step-by-step explanation:

4=boys

5=girls

4 x 3 = 12

5 x 13 = 15

12+ 15 = 27

To find the dimensions of the rectangle with maximum area, we need to consider the relationship between the rectangle and the semicircle.

Let's assume that the base of the rectangle is the diameter of the semicircle. Since the radius of the semicircle is given as 16, the diameter (and base of the rectangle) will be 2 * 16 = 32.

Now, we need to determine the height of the rectangle. Since the other two vertices of the rectangle lie on the semicircle, the height of the rectangle will be the distance from the center of the semicircle to the top edge of the rectangle.

The center of the semicircle is also the midpoint of the base of the rectangle, so the distance from the center to the top edge of the rectangle will be equal to the radius of the semicircle.

Therefore, the height of the rectangle will be 16.

Hence, the dimensions of the rectangle with maximum area are:

Base: 32

Height: 16

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The estimated current price of the stock is $57.83.

To calculate the stock's current price, we can use the dividend discount model (DDM). The DDM states that the price of a stock is equal to the present value of its future dividends.

In this case, the dividend is expected to grow at a rate of 24% per year for the next 2 years and then at a constant rate of 5% thereafter. We can calculate the dividends for the next two years as follows:

D1 = D0 * (1 + growth rate) = $2.2 * (1 + 0.24) = $2.728

D2 = D1 * (1 + growth rate) = $2.728 * (1 + 0.24) = $3.386

To find the price of the stock at the end of year 2 (P2), we can use the Gordon growth model:

P2 = D2 / (r - g) = $3.386 / (0.09 - 0.05) = $84.65

Next, we need to discount the future price of the stock at the end of year 2 to its present value using the required rate of return. The required rate of return is the risk-free rate plus the product of the stock's beta and the market risk premium:

r = risk-free rate + (beta * market risk premium) = 0.09 + (1.3 * 0.045) = 0.1565

Now, we can calculate the present value of the future price:

P0 = P2 / (1 + r)^2 = $84.65 / (1 + 0.1565)^2 = $57.83

Therefore, based on the given information and calculations, the estimated current price of the stock is $57.83.

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Answer:

subtraction

Step-by-step explanation:

its subtraction because if you do 62.5-2.5 it = 60 and then 60-2.5=57.5 57.5-2.5=55 55-2.5=52.5 52.5-2.5=50 50-2.5= 47.5 47.5-2.5 = 45 s so it was 7 or 8 years ago idk count them see how many times i did it

Answer:

In standard position, the terminal ray of angle A passes through the point (10,-4) on the coordinate plane. The distance of the point (10, -4) from the origin (0,0) is the hypotenuse of a right triangle. The horizontal distance of the point from the y-axis is the x-coordinate, which is 10, and the vertical distance of the point from the x-axis is the y-coordinate, which is -4.

The secant of an angle is the ratio of the hypotenuse (c) to the adjacent side (a). In this case, the hypotenuse is the distance between the point (10, -4) and the origin (0,0) and the adjacent side is the x-coordinate which is 10.

So sec(A) = c/a = √(10² + (-4)²)/10 = √(100+16)/10 = √116/10 = √29/5

So sec(A) = √29/5 which is the simplified form.

After answering the presented question, we can conclude that As a cylinder result, the depth of the water in the tank rises by 6.33 cm.

A cylinder is a three-dimensional geometric shape made up of two parallel congruent circular bases and a curving surface connecting the two bases. The bases of a cylinder are always perpendicular to its axis, which is an imaginary straight line passing through the centre of both bases. The volume of a cylinder is equal to the product of its base area and height. A cylinder's volume is computed as V = r2h, where "V" represents the volume, "r" represents the radius of the base, and "h" represents the height of the cylinder.

This cylinder has the following volume:

V_cylinder = π × r² × h

= π × (40 cm)² × (50 cm)

= 251,327.41 cm³

Hence the volume of water displaced by the cube is 125,000 cm, and the volume of water displaced by the cylinder with the same height and radius as the tank is 251,327.41 cm3. As a result, the depth of the water rises by:

Δh = V_cube / (π × r²) - V_cylinder / (π × r²)

= (125,000 cm³) / (π × (40 cm)²) - (251,327.41 cm³) / (π × (40 cm)²)

= 6.33 cm

As a result, the depth of the water in the tank rises by 6.33 cm.

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It would cost approximately $1.10 to use the clothes washer.

To calculate the cost of using the clothes washer, you'll need to multiply the energy usage (in kilowatts) by the duration (in hours) and the cost per kilowatt-hour. In this case, the clothes washer used 2.6 kilowatts for 0.9 hours and the electricity cost is $0.47 per kilowatt-hour.

To find the total cost, use the following formula:

Total cost = Energy usage (kilowatts) × Duration (hours) × Cost per kilowatt-hour

Plug in the given values:

Total cost = 2.6 kilowatts × 0.9 hours × $0.47 per kilowatt-hour

Total cost = $1.1046

To find the cost to the nearest penny, round the result to two decimal places:

Total cost = $1.10

So, it cost approximately $1.10 to use the clothes washer.

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Answer:

\(11^{\frac{1}{2} }\)

Step-by-step explanation:

The rational exponent form is as the pictures show. (The first one just shows random examples).

Hope it helps!

Hope you understand :)

The value of angel A = 40 and side= 9.3 cm

The ratio of the side and the corresponding angle of a triangle is equal to the diameter of the circumcircle of the triangle. The sine law is can therefore be given as,

a/ sin A= b/ sin B= c/ sin C

The law of sines formula is used for relating the lengths of the sides of a triangle to the sines of consecutive angles. It is the ratio of the length of the side of the triangle to the sine of the angle thus formed between the other two remaining sides. The law of sines formula is used for any triangle apart from SAS triangle and SSS triangle. It says,

a/sin A = b/sin B = c/sin C

where,

a, b, and c are the lengths of the triangle

A, B, and C are the angles of the triangle.

Using angle sum property,

<A + <B + <C= 180

<A + 110 + 30 = 180

<A = 180- 140

<A= 40

Now, Using  law

a/ sin A= b/ sin B= c/ sin C

12/sin 40 = c/ sin 30

c= 9.3

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The change in real GDP when government spending increases from 200 to 400 is 400. The multiplier effect measures how changes in government spending impact the overall economy.

To start, let's calculate the initial level of real GDP. The short-run aggregate supply equation tells us that Y (real GDP) equals 6,000 + 200P (price level). Since the price level is not given, we can assume it to be constant for simplicity.
Thus, the initial real GDP (Y) is 6,000.
Next, we'll calculate the change in government spending (ΔG). ΔG is the increase in government spending, which is 400 - 200 = 200.

The multiplier effect formula is given as 1 / (1 - MPC), where MPC is the marginal propensity to consume. In this case, the marginal propensity to consume is 0.5, as indicated by the consumption function C = 200 + 0.5(Y - NT).
Using the formula, the multiplier effect is 1 / (1 - 0.5) = 2.
To find the change in real GDP, we multiply the change in government spending (ΔG) by the multiplier effect.
Change in real GDP = ΔG * Multiplier effect = 200 * 2 = 400.
Therefore, the change in real GDP when government spending increases from 200 to 400 is 400.

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A correlation coefficient is a numerical index that reflects the relationship between two variables.

A correlation coefficient is a statistical measure that quantifies the strength and direction of the linear relationship between two variables.

The correlation coefficient ranges from -1 to +1, where -1 indicates a perfectly negative linear relationship, 0 indicates no linear relationship, and +1 indicates a perfectly positive linear relationship of two variables.

The correlation coefficient is calculated using a formula that takes into account the covariance and standard deviations of the two variables.

It is commonly used in many fields, such as psychology, economics, and biology, to explore and understand the association between two variables.

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Answer: he got 15 new pairs

Step-by-step explanation: