Please help I can't work out the gradient

If y varies directly with x and y = 10 when k = 10, what is the value of x?

Damm [24]

y = k *x
 y=10 ; k=10

10 = 10*x
x = 10/10 = 1

x =1

7 0

3 years ago

What is the mean median mode and range

Leni [432]

Start off by ordering the numbers from least to greatest:

8, 8, 8, 10, 14, 15

Now we can find that...
the mean (average) is 10.5
the median (middle) is 9
the mode is (most repeated number) is 8
and the range (difference of the largest and smallest number) is 7

6 0

2 years ago

Chris purchased a used car for $19,700. The car depreciates exponentially by 10% per year. How much will the car be worth after

Monica [59]

Given: Purchasing value of car = $19,700,

Rate of depriciation = 10% per year.

To find: Final value of car after after 6 years.

Solution : Because rate of car is being depriciated exponential. So, we would exponential formula.

$A = Pe^{-kt}.$

Where, P is the purchase value, k is the rate of depriciation and t is the number of years.

Plugging values P = 19,700, r=10% that is 0.10 and t= 6 in above formula.

$A= 19,700e^{-0.10*6}$

$A= 19,700e^{-0.60}$

A= 19,700 (0.54881163609)

A= 10811.5892311.

Rounding to the nearest penny (two decimal places0.

A= 10811.59.

Therefore, Final value of car after after 6 years = $ 10811.59

6 0

2 years ago

A humanities professor assigns letter grades on a test according to the following scheme.

liraira [26]

Answer:

The numerical limits for a C grade are 60.6 and 69.1.

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 z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Scores on the test are normally distributed with a mean of 67 and a standard deviation of 7.3.

This means that $\mu = 67, \sigma = 7.3$

Find the numerical limits for a C grade.

Below the 100 - 38 = 62th percentile and above the 18th percentile.

18th percentile:

X when Z has a p-value of 0.18, so X when Z = -0.915.

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

$-0.915 = \frac{X - 67}{7.3}$

$X - 67 = -0.915*7$

$X = 60.6$

62th percentile:

X when Z has a p-value of 0.62, so X when Z = 0.305.

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

$0.305 = \frac{X - 67}{7.3}$

$X - 67 = 0.305*7$

$X = 69.1$

The numerical limits for a C grade are 60.6 and 69.1.

5 0

2 years ago

can anyone give me a simple answer to understand what root squared is and a way I can easily do it if ur stupid at maths

noname [10]

Think of a square that is 8 by 8. The area of this square is 8*8 = 64

Put another way, 8 squared = 8^2 = 8*8 = 64

The square root will undo what squaring does. The square root of 64 is 8. We're just going in reverse. Your teacher will use "inverse" as a fancy math way of saying "opposite" or "reverse"

4 0

2 years ago

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Please help I can't work out the gradient​

Please help I can't work out the gradient