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xenn [34]
3 years ago
9

Question 18(Multiple Choice Worth 1 points) (01.01) Period 1 has 15 students in it and a test average of 86%. Period 2 has 21 st

udents in it and an average of 88%. Period 3 has 12 students in it and an average of 95%. Use weighted means to find the overall average of the classes.
Mathematics
1 answer:
andrew11 [14]3 years ago
8 0

Answer:

89.125%

Step-by-step explanation:

The weighted mean is simply the multiplication of the number of student in each period times the respective average of said period, divided by the total number of students:

Average = \frac{15* 86 + 21*88 + 12*95}{15 + 21 + 12} = 89.125%

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The calibration of a scale is to be checked by weighing a 13 kg test specimen 25 times. Suppose that the results of different we
Natali5045456 [20]

Solution :

a).

Given : Number of times, n = 25

            Sigma, σ = 0.200 kg

            Weight, μ = 13 kg

Therefore the hypothesis should be tested are :

$H_0 : \mu = 13 $

$H_a : \mu \neq 13$

b). When the value of $\overline x = 12.84$

 Test statics :

   $Z=\frac{(\overline x - \mu)}{\frac{\sigma}{\sqrt n}} $

  $Z=\frac{(14.82-13)}{\frac{0.2}{\sqrt {25}}} $

          $=\frac{1.82}{0.04}$

          = 45.5  

P-value = 2 x P(Z > 45.5)

            = 2 x 1 -P (Z < 45.5) = 0

Reject the null hypothesis if P value  < α = 0.01 level of significance.

So reject the null hypothesis.

Therefore, we conclude that the true mean measured weight differs from 13 kg.

3 0
3 years ago
What are the missing angle measures for
Alenkinab [10]
W=148
V=180-148=32
V=32
T=148
S=148
Yes, it is correct
7 0
4 years ago
A car painting company has determined that the painting time of cars is uniformly distributed between 25 and 105 minutes. What i
Masteriza [31]

Answer:

P=\frac{5}{16}

Step-by-step explanation:

For a uniform distribution we have to:

P (X\leq x) =\frac{x-a}{b-a}   for x∈ (a, b)

P (X\leq x) =0}   for x\leq a

P (X\leq x) =1}   for x\geq b

In this case we have to:

a = 25 min and b = 105 min

We want to find:

P (40 \leq X \leq 65)

Then

P (x_1 \leq X \leq x_2) = P(X \leq x_2) - P(X \leq x_1)

P (x_1 \leq X \leq x_2)= \frac{x_2 -x_1}{b-a}

In this case:

x_2 = 65\\\\x_1=40

Therefore:

P (40 \leq X \leq 65)=\frac{65 -40}{105-25}

P (40 \leq X \leq 65)=\frac{25}{80}

P (40 \leq X \leq 65)=\frac{5}{16}

4 0
3 years ago
F(–4) if f(x) = –11x + 7
Alex777 [14]

Answer:

51

Step-by-step explanation:

Hello! Thanks for letting me answer your question! If you have any more questions feel free to ask me! If not, Have a WONDERFUL day and Please don't forget to consider making me Brainliest on your question today!

4 0
3 years ago
Find the sum 33,123.9+795.45
elena55 [62]
33123.9 + 795.45 = 33919.35

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