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3 years ago

A farmer has 184 sheep. 23% are ewes. How many rams does have?

Mathematics

1 answer:

Ludmilka [50]3 years ago

7 0

The correct answer is 142

number of sheep= 184

ewe= 23% of total sheep

= 23/100 × 184

= 42 approximately

if number of ewe = 42

Then number of ram= ( total number of sheep - number of ewe)

= 184- 42

= 142 approximately

Therefore, number of of ram is 142

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Cloud seeding has been studied for many decades as a weather modification procedure. The rainfall in acre-feet from 20 clouds th

kow [346]

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

X : 18.0, 30.7, 19.8, 27.1, 22.3, 18.8, 31.8, 23.4, 21.2, 27.9, 31.9, 27.1, 25.0, 24.7, 26.9, 21.8, 29.2, 34.8, 26.7,31.6

True standard deviation (σ) = 4

α = 0.01

Mean (m) of the data:

Σ(X) /n = 520.7/20

m = 26.035 = 26.04

Uaing calculator :

Sample standard deviation (s) = 4.785

Null hypothesis : μ = 25

Alternative hypothesis : μ > 25

Test statistic (t) : (m - μ) / (s/√n)

t = (26.04 - 25) / (4.785/√20)

t = 0.972

We can obtain the p value using the pvalue from t score calculator :

df = n - 1 = 20 - 1 = 19

Decision:

If p < 0.01 ; reject null

p(0.972, 19) = 0.1716

Since p > 0.1716 ; we fail to reject the Null

6 0

3 years ago

Expressions 4 tens + 6 tens in standard form

Ira Lisetskai [31]

40+60=100
I hope this helps^^

5 0

4 years ago

As an estimation we are told 5 miles is 8km convert 30<br> miles to km

Nutka1998 [239]

Find the scale:

30 miles / 5miles = 6

Multiply km by the scale:

8 km x 6 = 48 km

The answer is 48 km

8 0

3 years ago

Read 2 more answers

When bands play at the arena the money made from ticket sales is split in an agreed ratio. When Phillip Cage played, £21,000 was

natulia [17]

Answer:

£6000

Step-by-step explanation:

Given:

Phillip Cage played, £21,000 was split at a ratio of 2:5 between the arena and Phillip Cage.

Question asked:

How much money did the arena make from Phillip Cage's concert?

Solution:

Ratio Arena and Philip cage in which money distributed = 2 : 5

Let ratio be $x$

Money earned by Arena = $2x$

Money earned by Phillip Cage = $5x$

Phillip Cage played total for = £21,000

<u>Money earned by Arena + Money earned by Phillip Cage = £21,000</u>

$2x+5x=21000\\7x=21000\\$

Dividing both sides by 7

$x=3000$

Money earned by Arena = $2x$ = $2\times3000=6000$

Thus, Arena made £6000 from Phillip Cage's concert.

5 0

4 years ago

An executive invests 29,000, some at 8% and the rest at 7% annual interest. If he receives an annual return of $2,230, how much

jeka57 [31]

Answer:

Amount invested in A (8%) = $20,000

Amount invested in B (7%) = $9,000

Step-by-step explanation:

Given:

Total amount invested = $29,000

Interest rate A = 8% = 0.08

Interest rate B = 7% = 0.07

Annual return = $2,230

Find:

Amount invested in each

Computation:

Assume;

Amount invested in A = x

Amount invested in B = 29,000 - x

So,

Interest receive from A = x × 0.08

Interest receive from A = 0.08 x

Interest receive from B = (29000 - x) × 0.07

Interest receive from B = 2,030 - 0.07 x

Annual return = Interest receive from A + Interest receive from B

2,230 = 0.08 x + 2,030 - 0.07 x

x = 20,000

Amount invested in A = $20,000

Amount invested in B = 29,000 - $20,000

Amount invested in B = $9,000

8 0

3 years ago