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sveticcg [70]
1 year ago
13

Cheese sticks that were previously priced at "10 for $1" are now "2 for $1". Find each percent change.

Mathematics
1 answer:
AysviL [449]1 year ago
7 0

Answer:

The percent decrease in the number of cheese sticks you can buy for $1 is 80%.

Step-by-step explanation:

Given : Cheese sticks that were previously priced at "10 for $1" are now "2 for $1".

To find : The percent decrease in the number of cheese sticks you can buy for $1 ?

Solution :

The formula used to find percent decrease is given by,

\%\text{ change}=\frac{\text{Amount of change}}{\text{Original amount }}\times 100

The price change from 10 to 2,

\%\text{ change}=\frac{10-2}{10}\times 100

\%\text{ change}=\frac{8}{10}\times 100

\%\text{ change}=80\%

The percent decrease in the number of cheese sticks you can buy for $1 is 80%.

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Answer:

=(k−1)*P(X>k−1) or (k−1)365k(365k−1)(k−1)!

Step-by-step explanation:

First of all, we need to find PMF

Let X = k represent the case in which there is no birthday match within (k-1) people

However, there is a birthday match when kth person arrives

Hence, there is 365^k possibilities in birthday arrangements

Supposing (k-1) dates are placed on specific days in a year

Pick one of k-1 of them & make it the date of the kth person that arrives, then:

The CDF is P(X≤k)=(1−(365k)k)/!365k, so the can obtain the PMF by  

P(X=k) =P (X≤k) − P(X≤k−1)=(1−(365k)k!/365^k)−(1−(365k−1)(k−1)!/365^(k−1))=

(k−1)/365^k * (365k−1) * (k−1)!

=(k−1)*(1−P(X≤k−1))

=(k−1)*P(X>k−1)

6 0
2 years ago
0.01234567901 as a fraction
balu736 [363]

Answer: 1234567901 /100000000000

Step-by-step explanation:

Convert the decimal number to a fraction by placing the decimal number over a power of ten. Since there are  11  numbers to the right of the decimal point, place the decimal number over  10 ∧11   ( 100000000000 ) . Next, add the whole number to the left of the decimal.

1234567901 /100000000000

6 0
1 year ago
Two wires with lengths of 448 cm and 616 cm are to be cut into pieces of all the same length without a remainder. Find the great
Y_Kistochka [10]

Answer:

56 cm

Step-by-step explanation:

We need ro find the GCD of these numbers. In finding the GCD, we list the multiples of the number, beginning with the smallest number. Here, the

The factors of 616=2*2*2*7*11

The factors of 448 =2*2*2*2*2*2*7

Common factors in both are 2*2*2*7=56

Therefore, the greatest possible length is 56 cm

6 0
2 years ago
(1 point) Let P(t) be the performance level of someone learning a skill as a function of the training time t. The derivative dPd
monitta

Answer:

P(t)=M+Ce^{-kt}

Step-by-step explanation:

Given the differential model

\dfrac{dP}{dt}=k[M-P(t)]

We are required to solve the equation for P(t).

\dfrac{dP}{dt}=kM-kP(t)\\$Add kP(t) to both sides\\\dfrac{dP}{dt}+kP(t)=kM\\$Taking the integrating factor\\e^{\int k dt} =e^{kt}\\$Multiply all through by the integrating factor\\\dfrac{dP}{dt}e^{kt}+kP(t)e^{kt}=kMe^{kt}\\\dfrac{dP}{dt}e^{kt}=kMe^{kt}\\(Pe^{kt})'=kMe^{kt} dt\\$Take the integral of both sides with respect to t\\\int (Pe^{kt})'=\int kMe^{kt} dt\\Pe^{kt}=kM \int e^{kt} dt\\Pe^{kt}=\dfrac{kM}{k} e^{kt} + C_0, C_0$ a constant of integration

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4 0
1 year ago
Find the difference. Express your answer in
Leokris [45]

Answer:

-4g-3

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

g+2

Step-by-step explanation:

g+1                     5g+4

-------------  -   ------------------

g+2                     g+2

Since the denominators are the same, subtract the numerators

g+1 - (5g+4)

Distribute the negative sign

g+1 -5g-4

-4g-3

Put this back over the denominator

-4g-3

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

g+2

6 0
2 years ago
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