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3 years ago

Divide £50 into the ratio 1:4

2 answers:

8 0

Don't know how to type the symbole infront of the 50 so I will subsitute
£50=$50

so 1:4
add it up
1+4=5

so 5 total units
$50=5 units
divide by 5
$10=1 unit

so 1:4=10:10 times 4=10:40

the answer is 10:40

Lubov Fominskaja [6]3 years ago

8 0

First,what you need to do is to add up these two numbers in the ratio,which gives you this:1+4=5.
Step 2 divide 50 with number 5
Step 3 the result is 10
Step 4 1:4=1·10:4·10
Step 5 1:4=10:40

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Round to the nearest tenth 18 is what percentage of 79

GenaCL600 [577]

79 multiply .18 and you’ll get your answr

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3 years ago

The diagram shows 3 identical circles inside a rectangle.

Ilya [14]

Answer:

11700 mm²

Step-by-step explanation:

A rectangle is a quadrilateral with two equal, opposite and parallel sides. Each of the angles in a rectangle is 90°.

The horizontal distance of the rectangle = r + r + r + r = 4r

The vertical distance = r + h + r = 2r + h

Where h is the distance between the midpoint of the 2 up circles and the midpoint of the down circle.

Using Pythagoras:

(2r)² = h² + r²

h² + r² = 4r²

h² = 3r²

h = √3r²

h = r√3

Vertical distance = 2r + h = 2r + r√3

Area of rectangle = vertical distance * horizontal distance

Area = 4r * (2r + r√3) = 8r² + 4r²√3 = 4r²(2 + √3)

Substituting:

Area = 4r²(2 + √3) = 4(28²)(2 + √3) = 11703.711 mm²

Area = 11700 mm² to 3 s.f

5 0

3 years ago

Suppose that a recent article stated that the mean time spent in jail by a first-time convicted burglar is 2.5 years. A study wa

4vir4ik [10]

Using the z-distribution, it is found that since the test statistic is greater than the critical value, it can be concluded that the mean length of jail time has increased.

At the null hypothesis, it is tested if the mean length of jail time is still of 2.5 years, that is:

$H_0: \mu = 2.5$

At the alternative hypothesis, it is tested if it has increased, that is:

$H_1: \mu > 2.5$

We have the standard deviation for the population, thus, the z-distribution is used. The test statistic is given by:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

The parameters are:

$\overline{x}$ is the sample mean.
$\mu$ is the value tested at the null hypothesis.
$\sigma$ is the standard deviation of the sample.
n is the sample size.

For this problem, the values of the parameters are: $\overline{x} = 3, \mu = 2.5, \sigma = 1.5, n = 26$

Hence, the value of the test statistic is:

$z = \frac{\overline{x} - \mu}{\frac{\sigma}{\sqrt{n}}}$

$z = \frac{3 - 2.5}{\frac{1.5}{\sqrt{26}}}$

$z = 1.7$

The critical value for a right-tailed test, as we are testing if the mean is greater than a value, with a significance level of 0.05, is of $z^{\ast} = 1.645$

Since the test statistic is greater than the critical value, it can be concluded that the mean length of jail time has increased.

A similar problem is given at brainly.com/question/24166849

5 0

3 years ago

oksian1 [2.3K]

Answer:

-9

Step-by-step explanation:

f(2) - f(4) / 2-4

[2²+3(2)] - [4²+3(4)] / -2

(10 - 28) / 2

= -18/2

= -9

6 0

3 years ago

Read 2 more answers

Please help meeh thank u thank u

Sunny_sXe [5.5K]

Answer:

The location would be between 4 and 5.

Step-by-step explanation:

The square root of 19 would be around 4.3. So you would put a mark between the two lines that are in between the 4 and 5.

5 0

3 years ago