The sum of four consecutive integers is -10. What is the largest integer?

Answer:

slope intercept form

Step-by-step explanation:

The normal distribution with a mean of 0 and a standard deviation of 1 is known as the standard normal distribution.

The usual normal distribution is then followed by the z variable. A value of the x variable's z variable, also known as the z-score of the x variable, indicates how many standard deviations from the mean it is.

The area under the normal distribution curve must be calculated that lies between

z=−1.56 and z=1.56

Using the standard normal table, the area is calculated as:

P(−1.56<z<1.56)

=P(z<1.56)−P(z<−1.56)

=P(z<1.56)−(1−P(z<1.56))

=0.9406−(1−0.9406)

=0.8812

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The complete question is

if z is a standard normal variable, find the probability. the probability that z lies between -1.56 and 1.56 is

Answer:

45

Step-by-step explanation:

8 numbers summed and divided by 8 = 41

8numberssummed  / 8 = 41

8numberssummed = 41 * 8 = 328

now taking out two numbers whose mean is 29 is the same as taking out two 29's from the sum ....so now there are SIX numbers

  6numberssummed = 8numberssummed - 29 -29

                                   =   328    -29 -29 = 270

  so to find the mean of the remaining six numbers:

     6numberssummed / 6    is        270/6 = 45

Answer:

mean = 45

Step-by-step explanation:

mean is calculated as

mean = \(\frac{sum}{count}\)

given the mean of 8 numbers is 41 , then

\(\frac{sum_{8} }{8}\) = 41 ( multiply both sides by 8 )

sum₈ = 328

given the mean of 2 of the numbers is 29 , then

\(\frac{sum_{2} }{2}\) = 29 ( multiply both sides by 2 )

sum₂ = 58

Then

sum₆ = sum₈ - sum₂ = 328 - 58 = 270

then the mean of the other six numbers is

mean = \(\frac{sum_{6} }{6}\) = \(\frac{270}{6}\) = 45

Answer:

25 cups of apple juice and 10 sparkling water 

Step-by-step explanation:

There are 7 cups of sparkling juice in each batch, since 5 + 2 = 7. То make 35 cups Elena will need 5 batches since 5 x 7 = 25. 5 batches mean 25 cups of apple juice and 10 cups of sparkling water

(brainliest?)

There are 84 sets of pictures she can post on her wall.

Since Alyssa has taken a picture with every single athlete individually. It means she has taken 9 pictures.

Now she wants to post 3 pictures on her wall.

We need to use Combination for arranging pictures. A combination is a mathematical technique that determines the number of possible arrangements in a collection of items where the order of the selection does not matter. In combinations, we can select the items in any order.

Therefore, The number of different sets of pictures = Selecting 3 pictures from a set of 9 pictures

9C3  =  (9!)/((9-3)!*3!)

(9*8*7)(3*2*1)= 84 ways

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To write y as the sum of a vector in w and a vector orthogonal to w, we first need to find a basis for w. Since w is spanned by bold u 1 and bold u 2, we can use these vectors as our basis for w:
B = {bold u 1, bold u 2}

Now, we can use the orthogonal complement of w, denoted by w⊥, to find a vector that is orthogonal to w. By definition, w⊥ is the set of all vectors that are orthogonal to every vector in w. We can find w⊥ by taking the null space of the matrix whose rows are the basis vectors of w:

A = [bold u 1; bold u 2]

w⊥ = null(A)

Once we have a basis for w⊥, we can find a vector that is orthogonal to w by taking a linear combination of the basis vectors of w⊥. Let's call this vector z:

z = c_1*bold v_1 + c_2*bold v_2 + ... + c_k*bold v_k

where c_1, c_2, ..., c_k are constants, and bold v_1, bold v_2, ..., bold v_k are the basis vectors of w⊥.

Finally, we can express y as the sum of a vector in w and a vector orthogonal to w:

y = a*bold u 1 + b*bold u 2 + z

where a and b are constants that we can find by projecting y onto the basis vectors of w:

a = (y · bold u 1) / (bold u 1 · bold u 1)
b = (y · bold u 2) / (bold u 2 · bold u 2)

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Answer:

57×6 is 342 ,not sure what you mean by the word expression

If \(y=x^m\) is a solution to the ODE

\(x^2 y'' - 7xy' + 15y = 0\)

then substituting \(y\) and its derivatives

\(y' = mx^{m-1} \text{ and } y'' = m(m-1)x^{m-2}\)

gives

\(m(m-1)x^2x^{m-2} - 7mxx^{m-1} + 15x^m = 0\)

\(m(m-1)x^{m} - 7mx^{m} + 15x^m = 0\)

\((m(m-1) - 7m + 15)x^{m} = 0\)

We ignore the trivial case of \(y=x^m=0\). Solve for \(m\).

\(m(m-1) - 7m + 15 = 0\)

\(m^2 - 8m + 15 = 0\)

\((m - 3) (m - 5) = 0\)

\(\implies \boxed{m=3} \text{ or } \boxed{m=5}\)

The formula to calculate the confidence interval is given by: \(CI = X \pm Z^* \cdot \frac{\sigma}{\sqrt{n}}\) Here, X = sample mean, σ = population standard deviation, n = sample size, and Z = z-value corresponding to the level of confidence.

Constructing the 99% confidence interval:We have X = $62,000, σ = $23,000, and n = 65.The z-value for a 99% confidence interval can be found using a standard normal distribution table or a calculator.Using the calculator, we get: Z = 2.576 (rounded off to three decimal places)Now, we can substitute these values in the formula:

\(CI = X \pm Z^* \cdot \frac{\sigma}{\sqrt{n}}\)

= $62,000 ± 2.576*($23,000/√65)CI

= $62,000 ± $7,999.16

The lower limit of the interval is given by:

$62,000 - $7,999.16

= $54,000.84T

he upper limit of the interval is given by:

$62,000 + $7,999.16

= $69,000.16

Therefore, the 99% confidence interval for the average bonus that all employees working for financial companies in New York City received last year is ($54,000.84, $69,000.16).

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Answer:

3136 = 2^6 × 7^2

2744 = 2^3 x 7^3

✓3136/3✓2744​ = ✓(2^6 × 7^2)/3✓(2^3 x 7^3) = (2^3 x 7)/3 x 14(✓14) = 56/42✓14 =4/3✓14

Answer:

pretty sure it's c

ANSWER:

The total surface area of the triangular prism is 69.77 square millimeters

STEP-BY-STEP EXPLANATION:

We have that the formula surface area of the remaining prism is the following

Replacing:

s1, s2 and s3 are the sides of the triangle, the base and the height are of the triangle and L is the length of the rectangle.

Answer:

given,

base (b) = 2.25cm

height (h) = 1.5 cm

now,

area (a) = b×h

or, a=2.25cm×1.5cm

therefore the area of parallelogram is 3.375cm^2.

hope it helps..

Answer:3.375 cm²

Step-by-step explanation:

Find the area of the following

parallelogram:

1.5 cm

2.25 cm

Solution:

(1.5×2.25)cm²

= 3.375 cm²

Hope it helps

Answer:

The answer is 24%.

Step-by-step explanation:

If you subtract 798 from 1050 you will get 252. Then, divide 252 by 1050. What you get from this is 0.24, which in percentage form is 24%.

Answer:

see explanation

Step-by-step explanation:

in a parallelogram]

• opposite sides are congruent

• opposite angles are congruent

• consecutive angles are supplementary , sum to 180°

• diagonals bisect each other

Then

DC = AB = 15

BC = 2 × WC = 2 × 9 = 18

∠ BAC = ∠ BDC = 110°

∠ DCA = 180° - 110° = 70°

DC = 15 (opposite sides in a parallelogram is parallel and equal to each other)
BC = 18 (the diagonals in a parallogram bisect at their midpoints -> BW = WC = 9 -> BC = 9 + 9 = 18)
angle BAC = 110 (opposite angles are equal to each other)
angle DCA = 70 (consecutive angles add up to 180, angle BAC and angle DCA are consecutive -> 180 - 110 = 70)

Answer:

65

Step-by-step explanation:

The $3 per unit subsidy will increase consumer surplus, decrease producer surplus, and increase total surplus. The $8 price floor will decrease consumer surplus, increase producer surplus, and decrease total surplus.

(a) To find the effect of a $3 per unit subsidy, we need to compare the equilibrium price and quantity before and after the subsidy. In the absence of the subsidy, the equilibrium price is determined by setting the demand equation equal to the supply equation:

7 - 0.5P = -2 + P

Solving for P, we find the equilibrium price P_eq = $5. The equilibrium quantity can be obtained by substituting this price back into either the supply or demand equation:

Q_eq = -2 + P_eq = -2 + 5 = 3 units

With the $3 per unit subsidy, the supply equation becomes Q = -2 + P - 3 = -5 + P. The new equilibrium price and quantity are determined by setting the demand equation equal to the new supply equation:

7 - 0.5P = -5 + P

Solving for P, we find P_subsidy = $6. The equilibrium quantity can be obtained by substituting this price back into the supply equation:

Q_subsidy = -5 + P_subsidy = -5 + 6 = 1 unit

To calculate the effects on consumer surplus (CS), producer surplus (PS), and total surplus (TS), we need to compare the areas of the relevant triangles. Before the subsidy, CS is the area above the demand curve and below the equilibrium price, PS is the area below the supply curve and above the equilibrium price, and TS is the sum of CS and PS. After the subsidy, CS expands, PS contracts, and TS increases.

(b) To find the effect of a $8 price floor, we need to compare the equilibrium price and quantity before and after the price floor. In the absence of the price floor, the equilibrium price and quantity remain the same as calculated in part (a): P_eq = $5 and Q_eq = 3 units.

With the $8 price floor, the market price cannot fall below $8. If the price floor is above the equilibrium price, it does not have any effect on the market. In this case, the price floor is below the equilibrium price, so it becomes binding. The new equilibrium price and quantity are determined by setting the supply equation equal to the price floor:

-2 + P_floor = 8

Solving for P_floor, we find P_floor = $10. The equilibrium quantity remains the same as Q_eq = 3 units.

To calculate the effects on CS, PS, and TS, we compare the areas of the relevant triangles. Before the price floor, CS is the area above the demand curve and below the equilibrium price, PS is zero because no units are being supplied, and TS is equal to CS. After the price floor, CS contracts, PS expands to include the entire area below the price floor and above the equilibrium quantity, and TS decreases.

In conclusion, the $3 per unit subsidy increases consumer surplus, decreases producer surplus, and increases total surplus. On the other hand, the $8 price floor decreases consumer surplus, increases producer surplus, and decreases total surplus. These effects can be visualized by comparing the areas of the relevant triangles in each scenario.

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Answer:

  -4.697 in/s

Step-by-step explanation:

You want to know the rate of change of radius of a cone 11 inches high with a radius of 5 inches and a volume that is decreasing at the rate of 541 cubic inches per second.

The volume of a cone is given by ...

  V = π/3r²h

The rate of change is found by implicit differentiation:

  V' = (π/3)((2rr')h +r²h')

Here, the height is constant, so h' = 0. Solving for r', we find ...

  r' = 3V'/(2πrh)

Using the given values of V', r, and h, we find the rate of change of radius to be ...

  r' = 3(-541 in³/s)/(2π(5 in)(11 in)) = -1623/(110π) in/s ≈ -4.69652 in/s

The radius is decreasing at about -4.697 inches per second.

__

Additional comment

The initial radius of the cone is irrelevant to the problem, since we want to know the rate of change at a specific different radius. Whether the cone is inverted or not is also irrelevant to its volume.

Answer:

The simplified expression is 498,400÷7. The value is 71,200.

Step-by-step explanation:

712×25×14×2= 498,400.

498,400÷7 becomes our expression. And that answer is 71,200. I hope this helps

Answer:

Step-by-step explanation:

substitute

a + 2p = 4

x − 2y = 6

Answer:

-12

Step-by-step explanation:

-1(-2)-14

2-14=-12

Answer:

-12

Step-by-step explanation:

you should give the other person brainliest

well, for the piece-wise function, we know that hmmm x = -1, -1 is less 1, so the subfunction that'd apply to that will be -2x + 1, because on that section "x is less than or equals to 1".

so f(-1) => -2(-1) + 1 => 3.

Answer:3

Step-by-step explanation:

In this case x=-1 so you will use the top equation because x<1

so f(-1) = -2(-1) + 1

          = 2+1

           =3

Answer:

hi

Step-by-step explanation:

let x be the cost of jwellery sold by you.

The equation for option A is given by:

The equation for option B is given by:

So the equality is given by:

Hence the sales should be 100000$ for you to make the same salary on both options.

Answer:

The machine requires at least 9 hours and 45 minutes to complete the hole on schedule.

Step-by-step explanation:

To find this, you can use the formula provided in the previous response:

(required depth - current depth) / digging rate = hours of digging

Plugging in the values from the problem, you get:

(12.5 feet - 4.75 feet) / (3/5 feet per hour) = (7.75 feet) / (3/5 feet per hour)

This simplifies to:

(7.75 feet) / (3/5 feet per hour) = 15.5 hours

Then, to convert this number of hours to hours and minutes, you can divide by the number of minutes in an hour (60 minutes) and round up to the nearest whole number for the number of hours. The remainder will be the number of minutes:

15.5 hours / 60 minutes/hour = 0.258333... hours

Rounding up to the nearest whole number, you get:

0.258333... hours = 1 hour

The remainder is:

15.5 hours - 1 hour = 14.5 hours

14.5 hours / 60 minutes/hour = 0.241666... hours

Rounding up to the nearest whole number, you get:

0.241666... hours = 0 hours

The remainder is:

14.5 hours - 0 hours = 14.5 hours

14.5 hours / 60 minutes/hour = 0.241666... hours

Rounding up to the nearest whole number, you get:

0.241666... hours = 0 hours

The remainder is:

14.5 hours - 0 hours = 14.5 hours

14.5 hours * 60 minutes/hour = 870 minutes

Therefore, the machine requires at least 9 hours and 45 minutes to complete the hole on schedule.

Answer:

A

Step-by-step explanation:

i counted all of the cubes and came up with 14 hence 14 is the answer

Answer:

a. 14 Cubic Units

Step-by-step explanation:

This is a complex shape made by a 2x3 and a 2x4 shape

The volume of each of them are 6 cubic units and 8 cubic units respectively.

Together they make a complex shape with the volume of 14 cubic units

Answer:

19) y = 3/2x + 1

20) y = x + 4

21) a: 4/5 b: y = 4/5x + 4 c: 16 feet d: 4

22) a: y + 1 = 4(x - 6)