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Ad libitum [116K]
3 years ago
7

Gavin, Sarah, and Pip share £136 in a ratio of 3:2:3. How much money does each person get?

Mathematics
2 answers:
kobusy [5.1K]3 years ago
6 0

Answer:

Gavin and Pip both get 45.33333333333333 and Sarah gets the rest

Step-by-step explanation:

evablogger [386]3 years ago
3 0

Answer:

gavin gets £51

sarah gets £34

pip gets £51

Step-by-step explanation:

3 + 2 + 3 = 8

136 ÷ 8 = 17, so 1 = 17

gavin = 3 x 17 (51)

sarah = 2 x 17 ( 34)

pip = 3x17 (51)

51+51+34= 136

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A woman standing on a hill sees a flagpole that she knows is 65 ft tall. The angle of depression to the bottom of the pole is 14
Oliga [24]

Answer:

Let the distance between woman and pole be "x".

From diagram,

In ΔOAB,

tan 18 = \frac{Perpendicular}{Base}

tan 18 =  \frac{65 -y}{x}

∴ x =  \frac{65 -y}{tan 18} ................ (1)

In ΔOBC

tan 14 = \frac{Perpendicular}{Base}

tan 14 =  \frac{y}{x}

y = x × tan 14 ..............(2)

equating (2) in (1), we get;

x = \frac{65}{tan 18 + tan 14}

x = \frac{65}{0.574}

∵ tan 18 + tan 14 = 0.574

<em>∴ x = 113.2 ft</em>

<em>i.e. The her distance from the pole is 113.2 ft.</em>

3 0
3 years ago
A survey was conducted to find out how much time people have to spend commuting to work. The sample means for two samples are 71
Lorico [155]

Answer:

E: None of the above

Step-by-step explanation:

Hello!

The objective is to find out how much time it takes people to commute to work.

Two samples where taken and two hypothesis tests where made:

One:

Sample mean 71 min; p-value: 0.03

Two:

Sample mean 72 min; p-value: 0.06

You have to choose from the options, a possible pair of hypotheses used for these two tests.

The parameter of the study is the population mean μ.

In the statistic hypotheses, the parameters are given either a known population value or a suspected value. So all options including sample values are wrong.

As said before the objective of the survey is to "determine how much time people spend commuting to work" in other words, whether or not the population mean is equal to a certain value.

H₀: μ = μ₀

H₁: μ = μ₀

Where μ₀ represents the theoretical value of the population mean. As you can say the hypotheses pair is two-tailed, not one-tailed.

Then the correct answer is E: None of the above

I hope this helps!

7 0
3 years ago
Round 43.786 to the nearest hundredth
serious [3.7K]
43.786

Since 6 rounds up:

43.79

Hope this helps!
3 0
3 years ago
Read 2 more answers
What are the excluded values? m+5/mn+3m
In-s [12.5K]

values that are <u>excluded from the domain</u> of a rational expression are values that make the denominator 0, since if that's so, the rational will be undefined.  That happens when the denominator is zero out, let's do so

\bf mn+3m=0\implies m(n+3)=0\implies \begin{cases} m=0\\ n=-3 \end{cases}

so, if ever m = 0, the denominator will become 0 and the rational becomes undefined, and whenever n = -3, the same will happen to the rational, thus those values are excluded.

7 0
3 years ago
The sum of 4 consecutive multiples of 6 is 540. What is the greatest of these numbers?
pychu [463]

Answer:

144

Step-by-step explanation:

First: 6x

Second: 6x+6

Third: 6x+12

Fourth: 6x+18

- Since they're multiples of 6

6x+6x+6+6x+12+6x+18=540

24x+36=540\\

Subract 36 from each side give us...

24x=504\\x=21

21(6)+18=144

Hope this helped! Please mark brainliest :)

4 0
3 years ago
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