A pair of sneakers which normally cost $120 is on sale for $78. What is the percent markdown(percent decrease)?

Answer:

yes mine to!!!!!!!!!!!!!!!!!

The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.

In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.

The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.

The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.

Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.

First, we need to standardize the value of 60.8 using the formula:

Z = (X - μ) / σ

Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.

In this case, the standardized value is:

Z = (60.8 - 60) / sqrt(0.16)

Z = 0.8 / 0.4

Z = 2

Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.

Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

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Answer:

None of the answers choices.

Step-by-step explanation:

Slope-intercept form is [ y = mx + b ] where m = slope and b = y-intercept.

We are given the slope, so we need to find the y-intercept.

y = 2x + b

19 = 2(5) + b

19 = 10 + b

9 = b

Fill in the formula with everything we solved for.

y = 2x + 9

Best of Luck!

Answer:

nono

Step-by-step explanation:

ANSWER

The vertex is located at (1, -2) (letter J)

SOLUTION:

The vertex is the minimum/maximum point in the graph. It is the tip of the curve. It is the peak/valley of a curve.

Answer:

C

Step-by-step explanation:

the scale factor is the ratio of corresponding sides, image to original, so

scale factor = \(\frac{EF}{BC}\) = \(\frac{11}{66}\) = \(\frac{1}{6}\)

Using chain rule, the derivative of f(x) = 4√(8x³ + 2x⁴) is

f'(x) = (2/√(8x³ + 2x⁴)) * (24x² + 8x³)

To find the derivative of the function f(x) = 4√(8x³ + 2x⁴), we can use the chain rule.

Let's break down the function into its components:

u(x) = 8x³ + 2x⁴ (inside function)

v(u) = 4√u (outer function)

To find the derivative, we apply the chain rule, which states:

(f(g(x)))' = f'(g(x)) * g'(x)

In this case, f(g(x)) = v(u(x)), and g(x) = u(x).

First, let's find the derivative of the inner function u(x):

u'(x) = 24x² + 8x³ (using the power rule for differentiation)

Next, let's find the derivative of the outer function v(u):

v'(u) = 4 * (1/2) * 1/√u = 1/√2u = 2/√u

Now, we can apply the chain rule:

f'(x) = v'(u(x)) * u'(x)

f'(x) = (2/√u) * (24x² + 8x³)

f'(x) = (2/√(8x³ + 2x⁴)) * (24x² + 8x³)

The derivative of the function is  (2/√(8x³ + 2x⁴)) * (24x² + 8x³)

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Answer:

5.75.

Step-by-step explanation:

The mean = (8+5+7+10+3+4+31+12)/ 8

= 80/8

= 10.

Now we calculate the difference of each value from the mean We take the absolute ( positive) differences

10 - 8 = 2

10 - 5 = 5

10 - 7 = 3

10 - 10 = 0

10-3 = 7

10 = 4 = 6

10 - 31 = 21

10 - 12 = 2

Sum of the differences = 46

and the mean deviation  is 46/8 = 5.75.

Answer:

50% Chance

Step-by-step explanation:

So Pr(0.3, 0.5, and 0.7) = (30% + 50% + 70%) / 300

= 1/2

Answer:

D.angle

Step-by-step explanation:

If two rays have the same endpoint, then they do not necessarily have to be opposite rays. They could form an angle instead.

Based on how Colton built the castle in relation to Gage, and the blocks used to build, the blocks used by Colton was 100 blocks.

Colton built 5 times as fast as Gage did. This means that for every block used by Gage, Colton used 5 blocks.

This means that in the same time, the number of blocks used by both was:
= 5 + 1

= 6 blocks

The number of blocks used by Colton was:

= Number of blocks used by Colton per time / Total blocks used per time x Total blocks to build castle

= 5 / 6 x 120

= 100 blocks

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The number of standard deviations from the mean that include all

data values is two.

From the gathering of information, we will see that the minimum worth is $19.95 and also the most worth is $29.95. So , we would like to seek out the amount of normal deviations, let's decision it "a" , such that\(\overline x $\color \ - a\cdot\sigma \le 19.95}\) and   \(\overline x $\color \ +a\cdot\sigma \geq 29.95}\)

Use the given values of mean  \(\overline x\) and normal deviation (σ) to notice the worth of "a".

         \(\overline x $\color \ - a\cdot\sigma \le 19.95}\\25.07\ - 2.62a \leq 19.95\\5.12\leq 2.62a\\1.9541\leq a\)

On rounding off we get a = 2

Checking another inequality

         \(\overline x $\color \ + a\cdot\sigma \geq 29.95}\\25.07 \ + 2(2.62) \geq 29.95\\25.07 + 5.24 \geq 29.95\\30.31\geq 29.95\)

Thus , 2 standard deviation include the all values from the given set of data .

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Answer:

yes,you are finding the probalitiy of exactly 5 not

being broken

Answer:

C

Step-by-step explanation:

L x w x h

it's c I think hope this helps

Answer:

1 9/11

Step-by-step explanation:

1.81 repeating is the equivalent to 1 9/11

Given statement solution is :- The present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

To calculate the present value of an investment with compound interest, we can use the formula for the present value of an annuity:

PV = A *\((1 - (1 + r)^(-n)) / r\)

Where:

PV = Present value

A = Annual payment or cash flow

r = Interest rate per period

n = Number of periods

In this case, the annual payment (A) is R13,000, the interest rate (r) is 10% per year, and the investment is made for 8 years (n).

Using the formula and substituting the given values, we can calculate the present value:

PV = \(13000 * (1 - (1 + 0.10)^(-8)) / 0.10\)

Calculating this expression:

PV = \(13000 * (1 - 1.10^(-8)) / 0.10\)

= 13000 * (1 - 0.46318) / 0.10

= 13000 * 0.53682 / 0.10

= 6977.66 / 0.10

= 69776.6

Therefore, the present value of R13,000 per year invested for 8 years at 10% compound interest is approximately R69,776.60.

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A' - (-1,4)

B' - (-1,8)

C' - (-5,4)

hope this helps

The amount more in income tax that Cho pays than Helen each month would be £56.

First, find Helen's yearly salary :

= 1, 720 x  12

= £ 20, 640

Both Cho's and Helen's annual salaries fall within the Basic rate tax bracket.

Cho 's monthly tax would be:

= (( 24, 000 - 12, 570 ) x 20 % ) / 12

= £ 190. 50

Helen's monthly tax :

= (( 20, 640 - 12, 570 ) x 20 % ) / 12

= £ 134.50

The difference is therefore :

= 190. 50 - 134.50

= £56

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Answer:

The answer is 245.7

Step-by-step explanation:

7 days in a week. 9 weeks. 9 x 7 = 63.

63 x 3.9 = 245.7

Answer:

As a claustrophobia, I can ????

O 35°, 35°, 20°

The cost of 14 red peppers with the same unit rate is $8.4.

Given that, Sophia bought 9 red peppers for $5.40.

Unit rate can be defined as the ratio between two measurements with the second term as 1. It is considered to be different from a rate, in which a certain number of units of the first quantity is compared to one unit of the second quantity.

Part A:

Let the cost in dollars c to the number of red peppers p.

Now, c=9p

⇒ 9p=5.40

⇒ p=5.40/9

⇒ p=$0.6

Part B:

The cost of 14 red peppers

= 14×0.6

= $8.4

Therefore, the cost of 14 red peppers with the same unit rate is $8.4.

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The measure of central angle DBC is 68 degree.

Hence, option C is correct.

In the given figure,

Measure of intercepted arc = 68 degree,

We have to find the measure of central angle DBC

We know that,

When two circle radii intersect in the center of a circle, they produce a vertex. These circle arms may begin at two distinct positions along the arc of such a circle. The two radii cross to produce a central angle, which serves to divide a circle into separate sectors.

A central angle is generated in the center of a circle when two radii within the circle overlap. As previously stated, a central angle in geometry is one whose vertex forms at the canter of the circle and whose arms cross the circle at two separate positions.

By connecting these two locations, an arc on the circle is formed. As a result, a central angle is the angle formed by an arc in the center of a circle.

Thus by property of central angles,

central angle = measure of intercepted arc

Hence,

⇒ m ∠DBC = 68 degree.

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The answer is C. There is a positive linear relationship between player height and number of points scored for basketball players in the coach's state.

A confidence interval is a range of values that is calculated from the data and is believed to contain the true population parameter with a certain level of confidence, in this case 96%. The slope of the regression line is the average change in y for a one unit change in x, which represents the direction and strength of the relationship between x and y.

The confidence interval for the slope is (−0.432,1.844), which does not include 0, which means that the slope is not equal to 0. If the slope were 0, there would be no relationship between player height and points scored. The fact that the confidence interval is positive means that the slope is positive, which indicates a positive linear relationship between player height and number of points scored.

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In an Arithmetic progression, \(\sf{t_{15} = 30 \; , t_{20} = 50 }\)

Find S₁₇ ?

Given that;

t₁₅ represents the 15th term of the AP

t₂₀ represents the 20th term of the AP

Now,

We know that;

t₁₅ can be represented as , a + 14d

t₂₀ can be represented as , a + 19d

Now, This implies

Subtract eq 1 from eq 2

a + 19d = 50

a + 14d = 30

(-)(-) (-)

-------------------

0 + 5d = 20

So,

Common difference (d) = 4

Substituting the value of d in eq-1

So,

First term (a) = -26

Now,

Let's find the sum of first 17 terms !

We know that;

\(\tt{S_{n}= \dfrac{n}{2}[2a+(n-1)d]}\)

Now,

Here the no. of term (n) = 17

We have,

Therefore,

A rectangle that could have a perimeter of 52 feet is a 12 feet by 14 feet rectangle.

The symbols W and L are variables.

The symbol P is a constant.

In Mathematics and Geometry, the perimeter of a rectangle can be calculated by using this mathematical equation (formula);

P = 2(L + W)

Where:

By substituting the given side lengths into the formula for the perimeter of a rectangle, we have the following;

P = 2(L + W)

52 = 2(12 + 14)

52 = 2(26)

52 feet = 52 feet.

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Based on the information, the hedgehogs have made the better offer

The Turkeys are offering a yearly salary of S(t) = 90000t over the course of eight years. To calculate the present value of each payment, an equation is used:

PV = S(t) * e^(-rt)

The variable "r" denotes a continuous interest rate of 0.03. "t" equals the years from t=0 to the time of payment. By this method, the current value of the Turkeys' offer can be assessed as follows:

PV(Turkeys) = ∫[0,8] 90000t * e^(-0.03t) dt

= 736,918.63

Comparatively, the Hedgehogs propose a yearly salary of S(t) = 80000t for nine years. Utilizing the formula employed in the previous scenario, the following result is derived:

PV(Hedgehogs) = ∫[0,9] 80000t * e^(-0.03t) dt

= 753,472.49

Given these calculations and the presumption that Rogelio may earn a continuous interest rate of 3% on his funds, it would best serve him to accept the Hedgehogs’ item offer since they have offered him a more favorable contract based on the accumulated present value of both contracts.

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The tangent line at that point is:

y = (-3/25)*x + 6/5

so m = -3/25, and b = 6/5

To find the slope at that point, we need to evaluate the derivative at that point.

y = 3/x

The derivative is:

y' = -3/x²

When x = 5, we have:

y' = -3/5² = -3/25

So that is the slope, m.

Now let's find the line.

The line must pass trhough the point (5, 3/5), then:

3/5 = (-3/25)*5 + b

3/5 = -3/5 + b

3/5 + 3/5 = b

6/5 = b

The equation of the line is:

y = (-3/25)*x + 6/5

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