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3 years ago

Is the statement true or false? 4 - 2(3 + 7) = 4 – 2.3+2.7

Mathematics

1 answer:

Katen [24]3 years ago

6 0

Answer:

Step-by-step explanation:

4-2(3+7)=4-2.3+2.7

4-2(10)=4+0.4

4-20=4.4

-16=4.4 which clearly is false

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5 Vera is a shop manager. 5 She has this information about the income in her shop for eight weeks this year. Week 1 2. 3 4 5 6 7

Alex

Using the median concept, it is found that it suffered a 11.16% decrease.

<h3>What is the median of a data-set?</h3>

It is the 50th percentile of the data-set, which is the value that separates the lower 50% from the upper 50%.

In this problem, the ordered data-set, in thousands of £, is given by:

{19.4, 39.8, 42.3, 42.5, 45.1, 47.9, 52.4, 53.5}

It has even cardinality, hence the median is the mean of the 8/2 = 4th and 5th terms, so:

M = (42.5 + 45.1)/2 = £43800.

It decreased from £49300 last year. The percentage decrease is the change divided by initial amount and multiplied by 100%, hence:

P = (49300 - 43800)/49300 x 100% = 11.16%.

More can be learned about the median concept at brainly.com/question/25215461

5 0

2 years ago

Simplify 1- cos^2 Θ / cos^2 Θ<br><br> Answers<br><br> sin2 θ<br><br> cos2 θ<br><br> tan2 θ<br><br> 1

Tems11 [23]

Answer:

<u>Trigonometric identities</u>

<u />

$\large \begin{aligned}\cos^2 \theta + \sin^2 \theta & = 1\\\implies \quad \quad \sin^2 \theta & = 1 - \cos^2 \theta\\\\\tan \theta=\dfrac{\sin \theta}{\cos \theta} \end{aligned}$

Therefore, using the <u>identities</u>, the given expression can be <em>simplified</em> as follows:

$\large\begin{aligned}\implies \dfrac{1- \cos^2 \theta}{\cos^2 \theta} & = \dfrac{\sin^2 \theta}{\cos^2 \theta}\\\\& = \tan^2 \theta\end{aligned}$

3 0

2 years ago

Read 2 more answers

Dr.Patterson just started an experiment .she will collect data for 8 days .How many hours is this

Allushta [10]

Answer:

192h

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Find the value of r so that the line through (-4,3) and (r,-3) has a slope of 2/3.

Tems11 [23]

Answer:

Step-by-step explanation:

The formula of a slope:

$m=\dfrac{y_2-y_1}{x_2-x_1}$

We have the slope m = 2/3 and the points (-4, 3) and (r, -3). Substitute:

$\dfrac{-3-3}{r-(-4)}=\dfrac{2}{3}$

$\dfrac{-6}{r+4}=\dfrac{2}{3}$ <em>cross multiply</em>

$2(r+4)=(-6)(3)$ <em>divdide both sides by 2</em>

$r+4=(-3)(3)$

$r+4=-9$ <em>subtract 4 from both sides</em>

$\boxed{r=-13}$

6 0

3 years ago

A train travels 315 km in the same time that a car travels 265 km. If the train travels on average 20 km/h faster than the car,

aev [14]

Answer: 106 km/h,2.5 hr

Step-by-step explanation:

Given

The train travels 315 km in the same time car travels 265 km

The average speed of the train is 20 kmph faster than car

Suppose, speed of the car is v and it travels 265 km in t hours

$\therefore \dfrac{315}{v+20}=\dfrac{265}{v}\\\\\Rightarrow 315v=265\left (v+20\right)\\\\\Rightarrow 315v=265v+5300\\\Rightarrow 50v=5300\\\Rightarrow v=106\ km/h$

Time taken to travel is

$\Rightarrow t=\dfrac{265}{106}}\\\\\Rightarrow t=2.5\ h$

7 0

3 years ago