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shtirl [24]
3 years ago
7

From this given statement, select the definition , property, postulate, or theorem that justifies the prove statement.

Mathematics
1 answer:
USPshnik [31]3 years ago
5 0
Additive property of equality states that:

if a=b, then a+c = b+c, 

that is, if 2 quantities of the same value are added the same quantity, they are again equal.


In our problem a=AD, b=DB,    and c= CD=DE

thus a+c=b+c means <span>AD + CD = DE + DE, 

by the </span><span>Addition Property


Answer: </span><span>Addition Property

</span>
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7 . Sampling distribution of the difference between two means A statistician is interested in the effectiveness of a weight-loss
UkoKoshka [18]

Answer:

0.229

Step-by-step explanation:

Given that the difference between the two sample means follows anormal distribution with a mean of11.00 and standard deviation equal to1.4387

A statistician is interested in the effectiveness of a weight-loss supplement. She randomly selects two independent samples. Individuals in the first sample of size n1 = 24 take the weight-loss supplement. Individuals in the second sample of size n2 = 21 take a placebo. Individuals in both samples follow identical exercise and diet programs. At the end of the study, the statistician measures the weight loss (in percent) of each participant.

We find that mean difference actual = 13-2 = 11

Probability that difference >12 =P(Z>\frac{12-11}{1.3487} \\)

=P(Z>0.742)=.0.229

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3 years ago
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vladimir2022 [97]
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8 0
2 years ago
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A farm is to be built in the shape of Quadrilateral ABCD, as shown below. All four sides are equal.
lapo4ka [179]

9514 1404 393

Answer:

  65.52 square feet

Step-by-step explanation:

The area of a rhombus is half the product of the diagonals.

  A = (1/2)ab

  A = (1/2)(12.6 ft)(10.4 ft) = 65.52 ft²

The area of the farm is 65.52 square feet.

6 0
3 years ago
There are 12 girls and 18 boys in a class. Teacher wants to form groups with the same
Stells [14]

Answer:

6 groups

2 girls, 3 boys

Step-by-step explanation:

To find the answer, first find the Greatest Common Factor or the GCF. The GCF in this case is 6. So, the amount of groups is 6. Then divide each number by 6, so there will be 2 girls in each group and 3 boys in each group.

8 0
3 years ago
Hello I need help jsjdbdjdjdjdkdkd
Alexandra [31]

I'll assume the question is: what's the volume?


It's two L×W×H rectangular prisms (aka boxes) put together

The bottom one is 2×3×4

The top one is 5×4×1

Volume = 2×3×4 + 5×4×1 = 24 + 20 = 44

Answer: 44 cubic feet


3 0
3 years ago
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