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3 years ago

How many different arrangements of letters can be formed if the first letter must be W or K (repeats of letters are allowed)?

Mathematics

1 answer:

Tanya [424]3 years ago

6 0

Answer:

This can vary. Are we doing 4 letter words, 5 letter, etc?

Step-by-step explanation:

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Find the standard form of the equation of the parabola with a focus at (0, -3) and a directrix at y = 3. (5 points)

OLEGan [10]

Answer:

From given option , the equation of parabola is y = negative x² divided by 12

Step-by-step explanation:

Given as for parabola :

The focus is at (0 , - 3)

The directrix equation is y = 3

Now, equation of parabola parallel to y-axis is

( x - h )² = 4 p ( y - k )

where focus is ( h , k+p ) and directrix equation is y = k - p

So, from equation

h = 0 and k + p = - 3

And y = k - p i.e k - p = 3

Now solving ( k + p ) + ( k - p ) = - 3 + 3

or, 2 k = 0 ∴ k = 0

Put the value of k , k + p = - 3

So, 0 + p = - 3 ∴ p = - 3

Now equation of parabola with h = 0 , k = 0 , p = - 3

( x - h )² = 4 p ( y - k )

I.e ( x - 0 )² = 4 × ( - 3 ) ( y - 0 )

Or, x² = - 12 y is the equation of parabola

Hence From given option , the equation of parabola is y = negative x² divided by 12 Answer

7 0

3 years ago

PLEASE HELP MY HOMEWORK IS DUE 10 MIN!!!!!!!!!!!!!!!!! Now think about changing the triangle. What happens to angle Z if the unk

kompoz [17]

Answer:

Angle Z wil change because the side length is getting longer and tbe triangle would no longer fit the conditions

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3 years ago

Jesse deposits $3,500 in an account at green market group. Find the amount of interest earned and the total value of the account

creativ13 [48]

Answer:

we need to know the interest percent

Step-by-step explanation:

4 0

3 years ago

PLEASE HELP IM STUCK

Fiesta28 [93]

Answer:

y = 7.25 + 0.65x

Step-by-step explanation:

y = total cost

x = each mile

it starts at 7.25

any mile after that is an extra $0.65

y = 7.25 + 0.65x

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2 years ago

Engineers must consider the diameters of heads when designing helmets. The company researchers have determined that the populati

Margaret [11]

Answer:

1. The minimum head breadth that will fit the clientele is of 4.41-in.

2. The maximum head breadth that will fit the clientele is of 7.19-in.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

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

Normally distributed with a mean of 5.8-in and a standard deviation of 0.8-in.

This means that $\mu = 5.8, \sigma = 0.8$

1. What is the minimum head breadth that will fit the clientele?

The 4.1st percentile, that is, X when Z has a pvalue of 0.041, so X when Z = -1.74.

$Z = \frac{X - \mu}{\sigma}$

$-1.74 = \frac{X - 5.8}{0.8}$

$X - 5.8 = -1.74*0.8$

$X = 4.41$

The minimum head breadth that will fit the clientele is of 4.41-in.

2. What is the maximum head breadth that will fit the clientele?

100 - 4.1 = 95.9th percentile, that is, X when Z has a pvalue of 0.959, so X when Z = 1.74.

$Z = \frac{X - \mu}{\sigma}$

$1.74 = \frac{X - 5.8}{0.8}$

$X - 5.8 = 1.74*0.8$

$X = 7.19$

The maximum head breadth that will fit the clientele is of 7.19-in.

8 0

3 years ago

How many different arrangements of letters can be formed if the first letter must be W or K​ (repeats of letters are​ allowed)?

How many different arrangements of letters can be formed if the first letter must be W or K (repeats of letters are allowed)?