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3 years ago

Hey can anyone help please?

Mathematics

1 answer:

Murljashka [212]3 years ago

4 0

Answer:

put dots on top of the points.

Step-by-step explanation:

The question is asking for you to do a dot plot. Though it may seem intimidating, this is fairly easy to do. For this problem simply put a dot above each number that is given to you. For this problem you would put 1 dot on 3, 1 dot on 4, 2 dots on 5, as well as 2 dots on 6.

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Share £900 in the ratio of 3:7

velikii [3]

Sharing £900 in the ratio of 3:7 is equal to £270 and £630.

Given the following data:

Total amount = £900.

Ratio = 3:7

Sum of ratio = $3+7$ = 10.

To share £900 in the ratio of 3:7:

<h3>How to calculate a ratio.</h3>

In this exercise, you're required to share the total amount of money in the ratio of 3:7. Thus, we would solve as follows:

For a ratio of 3:

$Amount=\frac{3}{10} \times 900\\\\Amount=\frac{2700}{10}$

Amount = £270.

For a ratio of 7:

$Amount=\frac{7}{10} \times 900\\\\Amount=\frac{6300}{10}$

Amount = £630.

Read more on ratio here: brainly.com/question/13513438

6 0

2 years ago

Line m has slope -4 and contains the point (-6, -3). Which of the following is a point-slope equation of line m?

exis [7]

Y+3=-4(x+6). Hope this helps

6 0

3 years ago

Read 2 more answers

Please help finding the remaining roots

shusha [124]

Answer:

x = 3, x = - $\frac{7}{2}$

Step-by-step explanation:

Since x = 2 is a root then (x - 2) is a factor

2x³ - 3x² - 23x + 42 ÷ (x - 2)

= (x - 2)(2x² + x - 21)

solve 2x² + x - 21 = 0 for remaining roots

(2x + 7)(x - 3) = 0

equate each factor to zero and solve for x

x - 3 = 0 ⇒ x = 3

2x + 7 = 0 ⇒ x = - $\frac{7}{2}$

8 0

3 years ago

Ship collisions in the Houston Ship Channel are rare. Suppose the number of collisions are Poisson distributed, with a mean of 1

alexandr1967 [171]

Answer:

$a) \simeq 0.3012$ $b) \simeq 0.0494$ c) $\simeq 0.2438$

Step-by-step explanation:

Rate of collision,

1.2 collisions every 4 months

or, $\frac{1.2}{4}$

= 0.3 collisions per month

So, the Poisson distribution for the random variable no. of collisions per month (X) is given by,

P(X =x) = $\frac{e^{-\lambda}\times {\lambda}^{x}}}{x!}
$

for x ∈ N ∪ {0}

= 0 otherwise --------------------------------------(1)

here, $\lambda = 0.3$ collision / month

No collision over a 4 month period means no collision per month or X =0

Putting X = 0 in (1) we get,

P(X = 0) = $\frac{e^{-0.3}\times {\0.3}^{0}}{0!}
$

$\simeq 0.7408182207$ ------------------------------------(2)

Now, since we are calculating this for 4 months,

so, P(No collision in 4 month period)

= $0.7408182207^{4}$

$\simeq 0.3012$ -----------------------------------------------------------(3)

2 collision in 2 month period means 1 collision per month or X =1

Putting X =1 in (1) we get,

P(X =1) = $\frac{e^{-0.3}\times {\0.3}^{1}}{1!}
$

$\simeq 0.2222454662$ ------------------------------------(4)

Now, since we are calculating this for 2 months, so ,

P(2 collisions in 2 month period)

= $0.2222454662^{2}$

$\simeq 0.0494$ -----------------------------------------(5)

1 collision in 6 months period means

$\frac{1}{6}$ collision per month

Now, P(1 collision in 6 months period)

= P( X = 1/6] (which is to be estimated)

= $\frac {P(X=0)\times 5 + P(X =1)\times 1}{6}$

= \frac {0.7408182207 \times 5 + 0.2222454662 \times 1}{6}[/tex]

$\simeq 0.6543894283$ -------------------------------------------(6)

So,

P(1 collision in 6 month period)

= $0.6543894283^{6}$

$\simeq 0.0785267444$ ------------------------------------------------(7)

So,

P(No collision in 6 months period)

= $(P(X =0)^{6}$

$\simeq 0.1652988882$ ---------------------------------(8)

so,

P(1 or fewer collision in 6 months period)

= (8) + (7 ) = 0.0785267444 +0.1652988882

$\simeq 0.2438$ ---------------------------------------------(9)

7 0

3 years ago

Given this graph of the function f(x) a) b) c) d) please a need help

VMariaS [17]

Answer:

a) 2

b) -2

c) -2

d) 1/2

Step-by-step explanation:

1) f(-4) means that x=-4 and you must locate the y value on the graph

2) f(2) means that x=2 and you must locate the y value on the graph

3) f(x)=4 means that y=4 and you must locate the x value on the graph

4) f(x)=-1 means that y=-1 and you must locate the x value on the graph

4 0

3 years ago