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3 years ago

Find the critical value Za/2 corresponding to a 99.5% confidence level.

Mathematics

1 answer:

m_a_m_a [10]3 years ago

4 0

Answer:

The correct option is;

2.81

Step-by-step explanation:

The critical value $Z_{\alpha /2}$ , is found from the z score table as follows, where the the confidence level is 99.5

Therefore, we have α = 1 - 99.5/100 = 1 - 0.995 = 0.005

α/2 = 0.0025

The critical value is thus found from the z-score table value of 1 - 0.0025 = 0.9975

From the z-table, we can find the 0.9975 score on the row with z = 2.8 where 0.9975 can be located under the 0.1 column giving the critical value as 2.81

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The diameter of a circle is 34 millimeters. What is the circle's area?<br> Use 3.14 for .

icang [17]

Answer:

907.46 mm2

Step-by-step explanation:

Area of circle = (¶d^2)/4

d = 34 mm

Therefore

Area A = (3.14 x 34^2)/4

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3 years ago

Allison has 1/2 cup of yogurt for making fruit parfaits.Each parfait requires 1/8 a cup of yogurt.How many parfaits can she make

cupoosta [38]

Allison can make 4 fruit parfaits.

Since one parfait requires 1/8 cup of yogurt, add:
1/8 + 1/8 + 1/8 + 1/8

They all share a common denominator, so:

1/8 + 1/8 +1/8 + 1/8 = 4/8

Simplify your answer (divide numerator and denominator by the common factor of 2) :

4/8 = 1/2

1/2 represents the total amount of cups of yogurt used. Since it took adding 1/8 four times that represents 4 parfaits.

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2 years ago

A family decides to put tiles in the entryway of their home. The entryway has an area of 7 square meters. If each tile is 5 cent

lyudmila [28]

9514 1404 393

Answer:

2800 tiles

Step-by-step explanation:

Each tile has an area of (0.05 m)² = 0.0025 m². Then the number of tiles required to cover 7 square meters is ...

(7 m²)/(0.0025 m²/tile) = 2800 tiles

It will take 2800 tiles to cover the entryway.

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2 years ago

How to do frackions , percents, and how to convert frackions.

Vera_Pavlovna [14]

Answer:

To convert a decimal to percent, we multiply the decimal by 100. To convert a fraction to decimal, we divide the numerator by the denominator using long division and to convert a fraction to percent, we convert the fraction to decimal and the decimal to percent.

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2 years ago

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tangare [24]

Answer:

Since $64= 2^6$ , you have the following arrangements.

Optional: $64 \times 1$ (and it's mirror version $1 \times 64$ , if you want to consider a long strip of bottles a rectangle. Technically it is, but it's open to interpretation.

$32 \times 2$ and it's mirror $2 \times 32$ ;

$16 \times 4$ and it's mirror $4 \times 16$ ;

Optional: $8 \times 8$ . Since a square is a rectangle with extra limitations.

6 0

2 years ago