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2 years ago

Determine the radius in metres Diameter=2230mm height=3130mm

Mathematics

2 answers:

Maru [420]2 years ago

6 0

Answer: 1.115 metres

Step-by-step explanation:

The radius is half the diameter.

2,230 mm / 2 = 1,115 mm

To turn mm into metres, we divide the length by 1,000.

1,115 mm / 1,000 = 1.115 metres

irga5000 [103]2 years ago

5 0

Answer:

1.115m

Step-by-step explanation:

$radius = \frac{diameter}{2} \\ = \frac{2230}{2} \\ = 1115mm \\ = from \: mm \: to \: m \\ = \frac{1115}{1000} \\ 1.115m$

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The triangle has an area of 7\frac{7}{8}7 8 7 cm2 and a base of 5\frac{1}{4}5 4 1 cm. What is the length of h? Explain your

motikmotik

Answer:

Step-by-step explanation:

Area of a triangle = 1/2 * base * height

Given

Area = 7 7/8cm²

Base = 5 1/4 cm

Required

Height of the triangle

Substitute;

7 7/8 = 1/2 * 5 1/4 * Height

63/8 = 1/2 * 21/4 * h

63/8 = 21H/8

63 = 21H

H = 63/21

H = 3cm

Hence the length of h is 3cm

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3 years ago

A state's Department of Education reports that 12% of the high school students in that state attend private high schools. The St

bogdanovich [222]

Answer:

a) p*n = 46 and q*n = 454 data is enough for inference

b) CI = ( 0,099 ; 0,141)

c) CI we will find with 90% of confidence the value of p in that interval

d) No, we accept H₀ we don´t have evidence to claim that the percentage in the State University is smaller than that of the Department of Education

Step-by-step explanation:

Information from A state´s Department of Education is:

p₀ = 12 % p₀ = 0,12

The State University sample:

Sample size n = 500

Sample proportion 46 out of 500

p = 46/500 p = 0,092 then q = 1- p q = 1 - 0,092 q = 0,908

Both p*n = 46 and q*n = 454

a) Are big enough to approximate the binomial distribution to normal distribution

b) CI = 90% CI = 0,9 significance level α = 0,10 for an CI we need

α/2 = 0,10/2 α/2 = 0,05

z(c) = - 1,64 ( from z-table)

MOE = z(c)*√(p*q)/n

MOE = 1,64 * √ ( 0,092*0,908)/500

MOE = 1,64 *√0,08353/500

MOE = 1,64 * 0,0129

MOE = 0,021

Then CI = 90 % is:

CI = ( 0,12 - 0,021 < P < 0,12 + 0,021 )

CI = ( 0,099 ; 0,141)

We have with 90 % of confidence for finding the value of p in the interval

Test Hypothesis

Null Hypothesis H₀ p = p₀

Alternative Hypothesis Hₐ p < p₀

we have for α = 0,1 z(c) = - 2,32 from z table

And z(s) = ( p - p₀ ) / √ (p*q)/n

z(s) = ( 0,092 - 0,12 ) / √(0,092*0,908)/500

z(s) = - 0,028 / 0,0129

z(s) = - 2,17

Comparing z(s) and z(c) we see that

|z(s)| < |z(c)|

So z(s) is in the acceptance region. We can support the claim that the percentage in the State University is the same than that of the Departament of Education

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3 years ago

you read 4 pages in 16 minutes. Your friend reads 5 pages in 22 minutes. Who is reading at a faster rate?

Natalka [10]

Answer:

Your friend

Step-by-step explanation:

16 divided by 4= 4 which is the unit rate

22 divided by 5 = 4.4 which is the unit rate

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3 years ago

Scale on map is Lin 86 mi if actual distance is 35 mi . Between two cities how far apart on the map are they

Mrac [35]

Answer:

0.41 cm

Step-by-step explanation:

The scale on the map is 1 in 86 mi.

This means that, 1 cm on the map represents 86 miles in real life, or on earth.

Then we're told that in real life, a distance is 35 miles, and how far they are on the map.

If 1 cm equals 86 miles, then we can say that x cm equals 35 miles

1 cm ----> 86

x cm ----> 35

x * 86 = 35 * 1

x = 35 / 86

x = 0.41 cm

Therefore, they must be 0.41 cm farther or closer apart on the map scale.

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3 years ago

Which function has a removable discontinuity

geniusboy [140]

Answer:

$\frac{x-2}{x^2-x-2}$

Step-by-step explanation:

A removable discontinuity is when there is a hole in your graph. This is usually because one X value has been canceled out. Most of the time, it takes factoring to figure out if there is a removable discontinuity when looking at an equation.

First, look at the numerator $x-2$ . This can't be factored any further. However, $x^2-x-2$ can be factored since it is a trinomial (has three terms) .