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Savatey [412]
3 years ago
12

Mr. Parker asked his students to draw and label a solid figure. He gave these directions: . Use two rectangular prisms e The vol

ume should be 544 cubic centimeters Lana drew the solid figure betow. 4 cm 7 cm 5 cm 8 cm 12 cm Part A Did Lana draw a correct figure? Explain your reasoning.
Mathematics
1 answer:
Anastaziya [24]3 years ago
6 0

jkaa[kakskskawz82xb2b2jdw

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A sample of n = 16 scores has a mean of M = 40 and a variance of s2 = 64. What is the estimated standard error for the sample me
vaieri [72.5K]

Answer:

S.E = 2

Step-by-step explanation:

Given

Mean = 40

s^2 = 64 ----- variance

n = 16 ------------ sample

Required

Determine the S.E

The estimated standard error (S.E) for the sample mean is calculated using the following formula:

S.E = \frac{SD}{\sqrt n}

Where

SD = Standard\ Deviation

SD = \sqrt {s^2}

SD = \sqrt {64}

SD = 8

So:

S.E = \frac{SD}{\sqrt n}

S.E = \frac{8}{\sqrt{16}}

S.E = \frac{8}{4}

S.E = 2

Hence: the estimated standard error for the sample mean is 2

4 0
3 years ago
A parallelogram has a height of x cm. The length of its base is 4 cm greater than its height. A triangle has the same height as
LuckyWell [14K]

The value of x when the triangle and the parallelogram have the same area is 6 units

<h3>The dimensions</h3>

The dimension of the parallelogram is given as:

  • Height = x
  • Base = 4 + x

The dimension of the triangle is given as:

  • Height = x
  • Base = 20

<h3>Areas</h3>

The area of a shape is the amount of space it occupies

The area of the parallelogram is calculated as:

Area = x (4 + x)

The area of the triangle is calculated as:

Area = 0.5 \times 20 \times x

Area = 10x

Both areas are equal.

So, we have:

x(4 + x) = 10x

Divide both sides by x

4 + x = 10

Subtract 4 from both sides

x =6

Hence, the value of x is 6 units

Read more about areas at:

brainly.com/question/2126265

4 0
2 years ago
Find the value of the variable.
Oksanka [162]

Answer:

x = 8, y = 8√2

Step-by-step explanation:

x = 8

y = 8(√2) = 8√2

8 0
3 years ago
Read 2 more answers
Y = mx + b solve for b
coldgirl [10]
Y = mx + b....for b
subtract mx from both sides
y - mx = b <==

6 0
3 years ago
What line has slope of 5/8 and goes through the point (2,-3)
sweet-ann [11.9K]
Slope of a line passing through a point is given by: y - y1 = m(x - x1); where (x1, y1) = (2, -3) and m = 5/8.
Therefore equation of the line is y - (-3) = 5/8(x - 2)
8(y + 3) = 5x - 10
8y + 24 = 5x - 10
8y - 5x = -10 - 24 = -34
5x - 8y = 34
7 0
4 years ago
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