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saw5 [17]
3 years ago
7

Roberta has collected a set of data and calculated the mean to be 34. The set contains 75 numbers, but Roberta gets an email tel

ling her to add the following 5 numbers to her data: {23, 26, 32, 33, 40}
To the nearest tenth, what is the new mean for her data?


A) 27.8


B) 30.8


C) 33.8


D) 36.8
Mathematics
2 answers:
Alexus [3.1K]3 years ago
7 0

Answer:

C) New Mean = 33.8

Step-by-step explanation:

Mean of collected set of data = 34

Total number of observations = 75

Mean = \frac{\text{Sum of all observation}}{\text{Number of observations}}

Thus, we can  calculate the sum of observations as : Mean × Total number of observations = 2550

5 new numbers were added to data: 23, 26, 32, 33, 40

New sum of observations = 2550 + 23 + 26 + 32 + 33 + 40 = 2704

New total number of observations = 75 + 5 = 80

New Mean = \frac{\text{New sum of all observation}}{\text{New number of observations}} = \frac{2704}{80} = 33.8

Thus, option C) 33.8 is the new mean.

IRINA_888 [86]3 years ago
6 0
30.8 add it all up and divided how ever many number there are
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Step-by-step explanation:

Given

Speed of boat v=3m-2\ \text{knots per hour}

\text{time t= }4m+9\ \text{hours}

\Rightarrow \text{Distance =speed}\times \text{time}

\Rightarrow \text{Distance d=}(3m-2)\cdot (4m+9)\\\Rightarrow d=12m^2+19m-18

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3 years ago
Seven more than the quotient of a number and 2 is -4
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Answer:

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Step-by-step explanation:

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5 0
3 years ago
Find ƒ–1 for the function ƒ(x) = (x – 10)3 + 4
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Step-by-step explanation:

6 0
3 years ago
Can someone please help me out marking brainliest
Irina-Kira [14]
Vas happenin!
Hope your day is going well
2. C
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5 0
2 years ago
A small pizza has an 8-in. Diameter a large pizza has a 15-in. Diameter. The pizzeria charges the same price per square inch for
vlabodo [156]

The cost of large pizza is $24.62, a small pizza has an 8-in. diameter a large pizza has a 15-in. diameter the pizzeria charges the same price per square inch for both pizzas and the small pizza cost $7.

Step-by-step explanation:

The given is,

                A small pizza has an 8-inches in diameter

                A large pizza has a 15-inches in Diameter

                The small pizza cost $7

Step:1

                Area of smaller pizza,

                                        Area, A_{S} = \pi  r^{2}...................................(1)

                 Where, r - Radius of small pizza

                 From given, r=\frac{d}{2}

                                         = \frac{8}{2}

                                       r = 4 inches

                  Equation (1),

                                    A_{S} = \pi  4^{2}

                                          =(3.14)(16)                             ( ∵ \pi=3.14 )

                                          = 50.24 Square inches

Step:2

              Area of smaller pizza,

                                        Area, A_{L} = \pi  r^{2}...................................(1)

                 Where, r - Radius of small pizza

                 From given, r=\frac{d}{2}

                                         = \frac{15}{2}

                                       r = 7.5 inches

                  Equation (1),

                                    A_{S} = \pi  7.5^{2}

                                          =(3.14)(56.25)                             ( ∵ \pi=3.14 )

                                          = 176.625 Square inches

Step:3

            Cost of pizza per square meter,

                                                = \frac{Cost of small pizza}{Area of small pizza}

                                                =\frac{7}{50.24}

                                                = $ 0.1393 per square meter

                Cost of Larger pizza = Area of Larger pizza × Cost per square meter

                                                = (176.625)(0.139331)

                                                = $24.62

Result:

          The cost of large pizza is $24.62, a small pizza has an 8-in. diameter a large pizza has a 15-in. diameter the pizzeria charges the same price per square inch for both pizzas and the small pizza cost $7.

         

                                             

6 0
3 years ago
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