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2 years ago

The area is approximately ___ square units. Use 3.14 for π.

Mathematics

1 answer:

ss7ja [257]2 years ago

8 0

Answer:

A = 914 units

Step-by-step explanation:

The figure consists of a rectangle and a circle.

The sides of rectangle are 30 units and 20 units

The diameter of circle is 20 unit

Radius = 10 units

Required area = area of rectangle + area of circle

$=l\times b+\pi r^2\\\\=30\times 20+3.14\times 10^2\\\\=914\ units$

So, the area of the figure is equal to 914 units.

You might be interested in

A study is planned to compare the proportion of men who dislike anchovies with the proportion of women who dislike anchovies. Th

andrey2020 [161]

Answer:

The requirements are satisifed since we have the proportion estimated, the sample sizes provided, we assume random sampling for the selection of the data and the distribution for the difference of proportions can be considered as normal

$z=\frac{0.67-0.84}{\sqrt{0.755(1-0.755)(\frac{1}{41}+\frac{1}{56})}}=-1.923$

Step-by-step explanation:

Data given and notation

$n_{M}=41$ sample of male selected

$n_{W}=56$ sample of demale selected

$p_{M}=0.57$ represent the proportion of men who dislike anchovies

$p_{WCB}=0.84$ represent the proportion of women who dislike anchovies

z would represent the statistic (variable of interest)

$p_v$ represent the value for the test (variable of interest)

Concepts and formulas to use

We need to conduct a hypothesis in order to check if the proportion for men is different from women , the system of hypothesis would be:

Null hypothesis: $p_{M} = p_{W}$

Alternative hypothesis: $p_{M} \neq p_{W}$

We need to apply a z test to compare proportions, and the statistic is given by:

$z=\frac{p_{M}-p_{W}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{M}}+\frac{1}{n_{W}})}}$ (1)

Where $\hat p=\frac{X_{M}+X_{W}}{n_{M}+n_{W}}=\frac{0.67+0.84}{2}=0.755$

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

Calculate the statistic

Replacing in formula (1) the values obtained we got this:

$z=\frac{0.67-0.84}{\sqrt{0.755(1-0.755)(\frac{1}{41}+\frac{1}{56})}}=-1.923$

4 0

3 years ago

Whats a integer ,can someone answer this a short explanation ?

madreJ [45]

Answer:

An Integer is a whole number

Step-by-step explanation:

Integers can be positive, negative, and even zero.

Integers can't be fractions, decimals, ect.