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musickatia [10]
2 years ago
10

Any help. (5 marks)

Mathematics
1 answer:
anyanavicka [17]2 years ago
6 0

Population of England in 2003 = 383 * 130,281 = 49,897,623

In 2008 this is 0.84 * 61,000,000 = 51,240,000

Increase = 51,240,000 - 49,897,623 = 1,342,377

Answer is 1,300,000 to 2 significant figures.

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6. The value of (tan 1° tan2º tan 3º ... tan 89°) is​
Thepotemich [5.8K]

Answer:

1

Step-by-step explanation:

Using the trigonometric identities

tan(90 - x) = cotx , cotx = \frac{1}{tanx}

Given

tan1tan2tan3....................... tan87tan88tan89

= tan1tan2tan3............... tan(90-3)tan(90-2)(tan90 - 1)

= tan1tan2tan3.............. cot3cot2cot1

= tan1cot1tan2cot2tan3cot3 ........................

= 1 × 1 × 1 ×....................... × 1

= 1

4 0
3 years ago
Records for the past several years show that 46% of customers at a local game shop use a customer loyalty card. Due to a recent
Ratling [72]

Answer:

1. Null hypotheses: p=0.49

Alternative hypotheses: p>0.49

2. p=0.5704 or 57.04%

Step-by-step explanation:

1.

We have to writer the hypotheses for testing the proportion has increased from 49%. So, the population proportion that is to be tested is 0.49.

As we already know that the null hypotheses always contain equality so,

Null hypotheses: p=0.49

and we have to test whether the proportion has increased from 0.49, so,

Alternative hypotheses: p>0.49

Thus, the hypotheses for testing the proportion has increased from 49% are

Null hypotheses: p=0.49

Alternative hypotheses: p>0.49

2.

We have to find the proportion of sampled customers using loyalty card.

The given sample indicate that 77 out of 135 customers are using loyalty card. So,

p=x/n

where x is the number of favorable outcome and n is total number of outcome.

Here, x=77 and n=135. So,

p=77/135=0.5704 or 57.04%

6 0
3 years ago
Solving Exponential and Logarithmic Equations In Exercise, solve for x.<br> 4e2x - 3 - 5 = 0
Deffense [45]

Answer:

Value of x will be 0.1515

Step-by-step explanation:

We have given the equation 4e^{2x}-3-5=0

We have top fond the value of x using exponent and logarithmic property

So 4e^{2x}-3-5=0

4e^{2x}-8=0

4e^{2x}=8

e^{2x}=2

Taking log both side

lne^{2x}=ln2

2x=0.3010

x = 0.1515

4 0
3 years ago
A serving of rice is 1/3 of a cup. How many servings are there in a 2 1/3-cup bag of rice?
iogann1982 [59]

Answer:

7

Step-by-step explanation:

each cup is 1/3 so divide 2 1/3 by 1/3 to get 7 cups

hope this helps

6 0
3 years ago
What is the length of DF in cm DE=2cm EF=6cm
Eddi Din [679]
12 cm because 2•6=12
5 0
3 years ago
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