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LenaWriter [7]
3 years ago
12

Write the equation of a line with slope m=6 and including point (0,1).

Mathematics
1 answer:
Orlov [11]3 years ago
3 0

Answer:

the equation of the line is y=6x+1

hope you have a great day! hope this helped :D

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A bakery offers a sale price of $3.50 for 4 muffins. What is the price per dozen?
Elena-2011 [213]
A dozen is 12 and since 4 is a multiple of 12, I did 12 divided by 4 which is three. So i did 3.50 multiplied by 3 and the answer is 10.50
5 0
3 years ago
Question 4 options: Find the mean and standard deviation for a binomial distribution with 680 trials and a probability of succes
lys-0071 [83]

Answer:

Mean for a binomial distribution = 374

Standard deviation for a binomial distribution = 12.97

Step-by-step explanation:

We are given a binomial distribution with 680 trials and a probability of success of 0.55.

The above situation can be represented through Binomial distribution;

P(X=r) = \binom{n}{r}p^{r} (1-p)^{n-r} ; x = 0,1,2,3,.....

where, n = number of trials (samples) taken = 680 trials

            r = number of success  

           p = probability of success which in our question is 0.55

So, it means X <em>~ </em>Binom(n=680, p=0.55)

<em><u>Now, we have to find the mean and standard deviation of the given binomial distribution.</u></em>

  • Mean of Binomial Distribution is given by;

                    E(X) = n \times p

       So, E(X) = 680 \times 0.55 = 374

  • Standard deviation of Binomial Distribution is given by;

                   S.D.(X) = \sqrt{n \times p \times (1-p)}

                               = \sqrt{680 \times 0.55 \times (1-0.55)}

                               = \sqrt{680 \times 0.55 \times 0.45} = 12.97

Therefore, Mean and standard deviation for binomial distribution is 374 and 12.97 respectively.

3 0
3 years ago
A drawer contains 4 white socks, 5 black socks, and 3 brown socks. Find the probability that...
IRINA_888 [86]

Answer:

5/12

7/12

125/36 = 3,47%

50/11 = 4,54%

Step-by-step explanation:

Probability a black sock is selected when a person chooses 1 sock = 5/12

Probability a white or brown sock is selected when a person chooses 1 sock =

7/12

Probability  a person chooses 3 socks and selects a white first, a black second, and a brown last if the socks are replace = (4/12 * 5/12 * 3/12)*100 =125/36 = 3,47%

Pobability  a person chooses 3 socks and selects a white first, a black second, and a brown last if the socks are NOT replace = (4/12 * 5/11 * 3/ 10)*100 = 50/11 = 4,54%

3 0
3 years ago
The weight of an object is equal to 3\4 of its own weight plus 3\4of a pound. What is the weight?
Phoenix [80]

Answer:

The weight of the object is 3 kg.

Step-by-step explanation:

<u>Step 1: </u>

Let object weight be x kg.

Now, as per the available data,

3/4 kg + 3/4 (x kg) = x kg

<u>Step 2: </u>

3/4 (1 + x) = x

1 + x = 4x/3

1 = x (4/3 - 1)

x = 1 / (1/3)

x = 3

Weight of Object is 3 kg.

<u>Step 3: </u>

Let's check if this value satisfies the first equation.

3/4 + 3/4 x 3 = 3/4 + 9/4 = 12/4 = 3

Hence proved.

8 0
3 years ago
What is the perimeter of a rectangular garden with a width of 24 feet and a diagonal of 40 feet?
elena55 [62]
Drawing it out, as seen, using the Pythagorean theorem we get that w^2+l^2 (with w=width and l=length)=diagonal^2=24^2+l^2=40^2. Subtracting 24^2 from both sides, we get 40^2-24^2=l^2=1024. Square rooting both sides, we get l=32. Since the perimeter is 2w+2l, we get 32*2+24*2=64+48=112

8 0
3 years ago
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