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abruzzese [7]
3 years ago
12

What is the answer to this

Mathematics
2 answers:
bija089 [108]3 years ago
4 0
  • <em>What is the mass of one of the cheese slices ?</em>

27 grams : 3 = 9 grams

weeeeeb [17]3 years ago
3 0

If all the cheese slices have same mass, say m grams

and mass of 3 cheese slices is 27

so,

m+m+m=27

3m=27

or m=27/3

m=9

thus

mass of one cheese slice is 9 grams

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A perpendicular bisector, CD is drawn through point C on AB. 
STALIN [3.7K]

<u>Answer</u>

B(18/5,0)


<u>Explanation</u>

First we find the coordinates of C;

C (x, y) = [(-3+7)/2, (2+6)/2]

           = (2, 4)

Find the equation of CD.

slope = (6-2)/(7--3)

         = 4/10  = 2/5

slope of CD = -5/2

-5/2 = (y - 4)/(x - 2)

-5/2(x - 2) = y - 4

(-5/2) x + 5 = y - 4

y = (-5/2)x + 9

For the x-intercept y = 0

∴ y = (-5/2)x + 9  

 0 = (-5/2)x + 9  

5/2 x = 9

x = 2/5 × 9

  = 18/5

x-intercept  = (18/5, 0)


3 0
3 years ago
Read 2 more answers
What is the area of the semicircle (use 3.14 for p)?<br> Please help! Will mark brainlyest.
Marizza181 [45]

Answer:

127.17 cm²

Step-by-step explanation:

  • Area of a semicircle: 1/2*π*r²
  • π (pi) = 3.14
  • r (radius) = d (diamater) / 2 => 18/2 = 9 cm

A = 1/2*π*r²

A = 1/2*3.14*9²

A = 1/2*3.14*81

A = 3.14*40.5

A = 127.17 cm²

Therefore, the area of the semicircle is 127.17 cm²

Hope this helps!

4 0
2 years ago
Read 2 more answers
In a recent survey, 60% of the community favored building a health center in their neighborhood. If 14 citizens are chosen, find
andreev551 [17]

Answer:

Probability that exactly 5 of them favor the building of the health center is 0.0408.

Step-by-step explanation:

We are given that in a recent survey, 60% of the community favored building a health center in their neighborhood.

Also, 14 citizens are chosen.

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 = 14 citizens

         r = number of success = exactly 5

        p = probability of success which in our question is % of the community

              favored building a health center in their neighborhood, i.e; 60%

<em>LET X = Number of citizens who favored building of the health center.</em>

So, it means X ~ Binom(n=14, p=0.60)

Now, Probability that exactly 5 of them favor the building of the health center is given by = P(X = 5)

        P(X = 5) = \binom{14}{5} \times 0.60^{5} \times (1-0.60)^{14-5}

                      = 2002 \times 0.60^{5} \times 0.40^{9}

                      = 0.0408

Therefore, Probability that exactly 5 of them favor the building of the health center is 0.0408.

4 0
3 years ago
The lowest number is 11 the range is 13 and the median is 17 what are the 3 numbers
11Alexandr11 [23.1K]

Answer:

11, 17, and 28.

Step-by-step explanation:

x, y, z\\

Lowest number is x

Median is y

Highest number is z

x=11\\y=17\\\\z-x=17\\z-11=17\\z-11+11=17+11\\z=28\\\\x=11\\y=17\\z=28\\\\11, 17, 28

3 0
3 years ago
Marco paid $36.89 for 8.6 gallons of gas.  What is the price per gallon?
Semenov [28]
36.89 total divided by the 8.6 gallons he bought = 4.2 so the price per gallon would be $4.20
6 0
3 years ago
Read 2 more answers
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