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Rainbow [258]
3 years ago
10

Hannah wants to buy a new shirt the original price is 32.75 but it is on sale for 40% off . what is sale price of the shirt

Mathematics
1 answer:
kati45 [8]3 years ago
4 0
1) 32.75 times .40= 13.10
2) 32.75-13.10=19.65
The sale price is $19.65
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In the xy-plane, the line x + y=k, where k is a constant, is tangent to the graph of y=x^2+3x+1. What is the value of k?
Talja [164]
Slope of tangent line = dy/dx = 2x+3
k is y_intercept of tangent line

2x+3 = -1
x = -2
y = (-2)^2+3(-2)+1 = -1

tangent line passes through point (-2,-1)

k = x+y

k = -2 -1

k = -3

4 0
3 years ago
Let x denote the lifetime of a mcchine component with an exponential distribution. The mean time for the component failure is 25
aliina [53]

Answer:

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations

Step-by-step explanation:

Exponential distribution:

The exponential probability distribution, with mean m, is described by the following equation:

f(x) = \mu e^{-\mu x}

In which \mu = \frac{1}{m} is the decay parameter.

The probability that x is lower or equal to a is given by:

P(X \leq x) = \int\limits^a_0 {f(x)} \, dx

Which has the following solution:

P(X \leq x) = 1 - e^{-\mu x}

The probability of finding a value higher than x is:

P(X > x) = 1 - P(X \leq x) = 1 - (1 - e^{-\mu x}) = e^{-\mu x}

The mean time for the component failure is 2500 hours.

This means that m = \frac{2500}, \mu = \frac{1}{2500} = 0.0004

What is the probability that the lifetime exceeds the mean time by more than 1 standard deviations?

The standard deviation of the exponential distribution is the same as the mean, so this is P(X > 5000).

P(X > x) = e^{-0.0004*5000} = 0.1353

0.1353 = 13.53% probability that the lifetime exceeds the mean time by more than 1 standard deviations

4 0
2 years ago
A pair of hikers, 18 miles apart, begin at the same time to hike toward each other. If one walks at a rate that is 1 mph faster
dsp73

Answer:

The chart below shows Mrs. Thompson's grocery bill. What is the average amount Mrs. Thompson spent on groceries?

A. $58

B. $68

C. $78

D. $340

3 0
3 years ago
Will someone please answer these questions fast and I will give the brainliest? I really need help and it would be appreciated.
Anika [276]

Hello there,

(1) $7934.37

interest would be $2934.37

(2)  $2593.74

interest would be $1593.74

(3) $1469.33

interest would be $469.33

(4) $1296.87

interest would be $796.87

(5) $239.66

interest would be $139.66

(6)  $4660.96

interest would be $3660.96


Hope I Helped!

-Char



7 0
3 years ago
Factor the following expression using the GCF: 10ab + 20.
Lostsunrise [7]
The first one is 10ab + 20
3 0
2 years ago
Read 2 more answers
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