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zlopas [31]
3 years ago
7

Which equation demonstrates the distributive property? A) 2 (5 + 7) = 2 (7 + 5) B) 2 (5 + 7) = 2 × 5 + 2 × 7 C) (2 × 5) × 7 = 2

× (5 × 7) D) 7 × (2 × 5) = 7 × (5 × 2)
Mathematics
1 answer:
Sonbull [250]3 years ago
4 0

Answer:

B

Step-by-step explanation:

Distributive property is when you distribute the values in a parenthesis with the outside multiplying factor

2*(5+7)= 2*5 + 2*7

2*(12) = 10 +14

24 = 24

distributive property holds true

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AnnyKZ [126]

Answer:

its true answer is 0 how many times you multiply zero it's result is always zero

6 0
2 years ago
Read 2 more answers
Various problems with data collection can cause some observations to be missing. Suppose a data set has 20 cases. Here are the v
mr Goodwill [35]

Answer:

a) Mean= 15, standard deviation= 5.1575

b) Mean= 15, standard deviation= 3.6469

c) See below

Step-by-step explanation:

(a) Compute the mean and standard deviation for the 10 cases for which x is not missing.

The mean using the ten known values is

\bar x=\frac{17+6+12+14+20+23+9+12+16+21}{10}=15

The standard deviation is

\small s=\sqrt{\frac{(17-15)^2+(6-15)^2+(12-15)^2+(14-15)^2+(20-15)^2+(23-15)^2+(9-15)^2+(12-15)^2+(16-15)^2+(21-15)^2}{10}}=5.1575

(b) Create a new data set with 20 cases by using imputation where you set the values for the 10 missing cases equal to the mean that you computed in the previous part. Compute the mean and standard deviation for this new data set with 20 cases.

The new data set would be

17, 6, 12, 14, 20, 23, 9, 12, 16, 21, 15, 15, 15, 15, 15, 15, 15, 15, 15, 15

The new mean for this set of values would be then

\bar x=\frac{\displaystyle\sum_{i=1}^{20}x_i}{20}=15

The new standard deviation is now

s=\sqrt{\frac{\displaystyle\sum_{i=1}^{20}(x_i-\bar x)^2}{20}}=3.6469

(c) Summarize what you have learned about the possible effects of this type of imputation on the mean and the standard deviation.

Obviously, this way of imputation is somewhat arbitrary and will produce a set of data undoubtedly skewed.  

It could possibly be a sensible way of imputing data if the amount of missing data is very little compared to the whole set, for example one or two data in a set of 100, but in this case we have 50% of missing data and it makes no sense this procedure.

4 0
3 years ago
Normally, a car wash costs $6. Today, Marie found a coupon so she only has to pay 60% of the normal amount. How much will Marie
Snezhnost [94]
Marie will pay $3.60
7 0
2 years ago
Find the measure of each missing angle.
nadya68 [22]

Answer:

Step-by-step explanation:

Angle sum property of triangle: Sum of all the angles of a triangle is 180

Alternate interior angles: When two parallel lines are intersected by a transversal, the pair of angles on the inner side of  each of these lines but on the opposite side of the transversal are called  alternate interior angles

In ΔABC,

  ∠1 + 90 + 38 = 180    {angle sum property of triangle}

         ∠1 + 128 =  180

               ∠1     = 180 - 128

            \sf \boxed{\bf  \angle 1     = 52^ \°}

AB // CD and AC is transversal.

 \sf \boxed{\bf  \angle 3 = 38^\circ}   {Alternate interior angles are equal}

In ΔACD,

      ∠2 + ∠3 + 63 = 180 {angle sum property of triangle}

       ∠2 + 38 +63  = 180

               ∠2  + 101 =180

                         ∠2 = 180 - 101

                      \sf \boxed{\bf  \angle 2 = 79^ \°}

5 0
1 year ago
If T equals 1 / r + 1 / s equals r + S over RS, then what is 1 / T in terms of R&S?
Thepotemich [5.8K]
T=\dfrac{1}{r}+\dfrac{1}{s}\\\\T=\dfrac{1\cdot s}{r\cdor s}+\dfrac{1\cdot r}{r\cdot s}\\\\T=\dfrac{s}{rs}+\dfrac{r}{rs}\\\\T=\dfrac{s+r}{rs}\to\dfrac{1}{T}=\dfrac{rs}{s+r}
7 0
3 years ago
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