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Volgvan
3 years ago
13

The O'Brien family is ordering food for a family reunion. The family orders 16 pounds of potato salad. If 20 people attend the r

eunion, what is the largest amount of potato salad each person could receive
Mathematics
1 answer:
sukhopar [10]3 years ago
5 0

Answer:

Each person would receive maximum 0.8 pounds of potato.

Step-by-step explanation:

Given:

Total Amount of Potato = 16 pounds.

Number of people attend reunion = 20

We need to find the largest amount of potato each person would receive.

Solution:

largest amount of potato each person would receive can be calculated by dividing Total Amount of Potato with Number of people attend the reunion.

framing in equation form we get;

largest amount of potato each person would receive = \frac{16}{20} =0.8\ pounds

Hence Each person would receive maximum 0.8 pounds of potato.

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I really need help what is 13.2 = t - 4.4 in a solution???
Masja [62]

Answer:

Answer for that: 13.2 = 8.8 - 4.4

5 0
3 years ago
The College Board reports that 2% of students who take the SAT each year receive special accommodations because of documented di
Sonbull [250]

Answer:

(a) P(X=1) = 0.3079

(b) P(X≥1) = 0.3965

(c) P(X≥2) = 0.0886

(d) P(X≤1.9) = 0.9114

(e) Expected no. of hours = 3.594 hours

Step-by-step explanation:

We have,

p = 0.02

n = 25

q = 1-p

q = 0.98

We will use the binomial distribution formula to solve this question. The formula is:

P(X=x) = ⁿCₓ pˣ qⁿ⁻ˣ

where n = total no. of trials

           x = no. of successful trials

           p = probability of success

           q = probability of failure

Let X be the number of students who received a special accommodation.

(a) P(X=1) = ²⁵C₁ (0.02)¹ (0.98)²⁵⁻¹

          = 25*0.02*0.61578

P(X=1) = 0.3079

(b) P(X≥1) = 1 - P(X<1)

               = 1 - P(X=0)

               = 1 - (²⁵C₀ (0.02)⁰ (0.98)²⁵⁻⁰)

              = 1 - 0.6035

   P(X≥1) = 0.3965

(c)  P(X≥2) = 1 - P(X<2)

                 = 1 - [P(X=0) + P(X=1)]

                 = 1 - (0.6035 + 0.3079)

                 = 1 - 0.9114

     P(X≥2) = 0.0886

(d) The probability that the number among 25 who received a special accommodation is within 2 standard deviations of the expected number of accommodations. This means we need to compute the probability P(X-μ≤2σ). For this we need to calculate the mean and standard deviation of this distribution.

μ = np = (25)*(0.02) = 0.5

σ = \sqrt{npq} = √(25)*(0.02)*(0.98) = √0.49 = 0.7

P(X-μ≤2σ) = P(X - 0.5≤ 2(0.7)) = P(X≤ 1.4 + 0.5) = P(X≤1.9)

P(X≤1.9) = P(X=0) + P(X=1)

             = 0.6035 + 0.3079

P(X≤1.9) = 0.9114

(e) Student who does not receive a special accommodation i.e. X=0 is given 3 hours for the exam whereas an accommodated student P(X>0) is given 4.5 hours. The expected average number of hours given on the exam can be calculated as:

Expected no. of hours = ∑x*P(x)

                                     = 3*P(X=0) + 4.5*P(X>0)

                                     = 3*0.6035 + 4.5(1 - P(X≤0))

                                     = 1.8105 + 4.5(1 - 0.6035)

                                     = 1.8105 + 1.78425

Expected no. of hours = 3.594 hours

5 0
2 years ago
Read 2 more answers
HCF of 2 numbers is 18 and product of 2 numbers is 648 . Find the LCM of 2 numbers
Alla [95]

Answer:

what is HCF

but I will try

To sum up, the lcm of 2 and 8 is 8. In common notation: lcm (2,8) =

Step-by-step explanation:

7 0
2 years ago
Rotate RST 90° counterclockwise around the origin.<br>​
Nostrana [21]

The image of the triangle RST when rotated 90° counterclockwise around the origin is (-15,5), (-15,15) and (-5,10)

<h3>
How to rotate the triangle?</h3>

The coordinates of RST are given as:

R = (5,15)

S = (15,15)

T = (10,5)

The rule of 90° counterclockwise around the origin is:

(x,y) -> (-y,x)

So, we have:

R' = (-15,5)

S' = (-15,15)

T' = (-5,10)

Hence, the image of the triangle when rotated 90° counterclockwise around the origin is (-15,5), (-15,15) and (-5,10)

Read more about rotation at:

brainly.com/question/4289712

#SPJ1

4 0
2 years ago
Gamal is buying ham and turkey to make sandwiches for a party. At most, he can spend $50, and he must buy more than 8 pounds of
IRINA_888 [86]
H +t = 8
$6h + $7t ≤$50

h+t = 8
h +t-t=8-t
h= 8-t

$6(8-t) + $7t ≤$50
48-6t +7t≤50
48-48+t≤50-48
t ≤ 2
h=6

$6(6) + $7(2) ≤$50
36 + 14 ≤ 50
50≤50

He can buy 6 pounds of ham and 2 pounds of turkey
3 0
3 years ago
Read 2 more answers
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