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galina1969 [7]
3 years ago
15

Find the surface area of composite figure. Please help

Mathematics
1 answer:
Ivan3 years ago
8 0

Answer:

The surface area of the composite figure is 410\ m^{2}

Step-by-step explanation:

we know that

The surface area of the composite figure is equal to the surface area of the rectangular prism of the bottom plus the lateral area o the rectangular prism of the top

so

Step 1

Find the surface area of the rectangular prism of the bottom

The surface area is equal to

SA=2B+Ph

Find the area of the base B

B=10*10=100\ m^{2}

P=4*10=40\ m

h=3\ m

substitute

SA=2(100)+40(3)=320\ m^{2}

Step 2

Find the lateral area of the rectangular prism of the top

The lateral area is equal to

LA=Ph

P=2*(4+5)=18\ m

h=5\ m

substitute

LA=18(5)=90\ m^{2}

Step 3

Find the surface area of the composite figure

320\ m^{2}+90\ m^{2}=410\ m^{2}

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Answer:

e)The information from the sample does not give enough information  to support that more than 70% of Canadian children receive antibiotics during the first year of life

Step-by-step explanation:

The proportion we will use for the test is  p  = 70 %

From a random sample we got

n  =  616

x = 438      then   p₁ = 438/616     p₁  =  0,71    p₁  = 71 %

Then  q₁  =  1 - p₁      q₁  = 1 - 0,71    q₁ = 0,29   q₁ = 29 %

a) Hypothesis test:

Null hypothesis                      H₀           p₁   = p

Alternative hypothesis          Hₐ           p₁  > p >70 %

CI = 95 % significance level    α  = 5 %   α = 0,05

z(c) for  α  =  0,05   from z-table is    z(c)  = 1,64

b) To calculate  z(s)  =  ( p₁  -  p ) / √ p₁*q₁ / n

z(s) = ( 0,71  -  0,70 )/ √ 0,71*0,29/616

z(s) = 0,01 /0,01828

z(s) = 0,547 ≈ 0,55

c) p-value for   z(s) is from z-table   p-value ≈ 0,7088

d) p-value > 0,05   then we accept H₀  we don´t have enough evidence to reject H₀

e)The information from the sample does not give enough information  to support that more than 70% of Canadian children receive antibiotics during the first year of life

3 0
3 years ago
X+6>24 if x=18 is it TRUE or FALSE
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Answer:

False

Step-by-step explanation:

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4 0
3 years ago
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A 2-column table with 6 rows. Column 1 is labeled Number of Items Made with entries 1,125, blank, blank, blank, blank, blank. Co
Nadya [2.5K]

Answer:

4,500 items are made every 4 hours.

5,625 items are made every 5 hours.

Step-by-step explanation:

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10. There are nine golf balls numbered from 1 to 9 in a bag. Three balls are randomly selected without replacement to form a 3-d
lbvjy [14]

Answer:

a) 504

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Step-by-step explanation:

Data provided in the question:

There are nine golf balls numbered from 1 to 9 in a bag

Three balls are randomly selected without replacement

a) 3-digit numbers that can be formed

= ^nP_r

n = 9

r = 3

= ⁹P₃

= \frac{9!}{9!-3!}

= 9 × 8 × 7

= 504

b)  3-digit numbers start with the digit 1

=  _ _ _

in the above 3 blanks first digit is fixed i.e 1

we and we have 8 choices left for the last 2 digits

Thus,

n = 8

r = 2

Therefore,

= 1 × ⁸P₂

= 1 × \frac{8!}{8!-2!}

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= 56

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Now,

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and total 3-digit numbers that can be formed is part a)

therefore,

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