All categories

4 years ago

Need help on all six

Mathematics

1 answer:

hjlf4 years ago

8 0

1. Yes, constant of proportionality is 5

2. Yes, constant of proportionality is 0.4

3. Yes, constant of proportionality is 3

4. No

5. No

6. No

You might be interested in

−3y−4x=−11<br> 3y−5x=−61<br> Solve the system of equations.<br>

DiKsa [7]

Answer:

$x = 8\\y=-7$

Step-by-step explanation:

$-3y-4x=-11\\3y-5x=-61$

In order to eliminate one of the variables you can add both equations.

$-9x=-72\\x=\frac{-72}{-9} \\x=8$

Replace in one of the main equations to find y

$3y-5x=-61\\3y-5(8)=-61\\3y-40=-61\\3y=-61+40\\3y=-21\\y=\frac{-21}{3} \\y=-7$

Replace in one of the main equations to prove that your answers are correct.

$-3y-4x=-11\\-3(-7)-4(8)=-11\\21-32=-11\\-11=-11$

8 0

3 years ago

Please can I have an explanation, I am terrible at these kinds of questions! Q- A bag contains red, yellow and blue beads. The r

bezimeni [28]

Answer:

$Red = \frac{10}{37}$

Step-by-step explanation:

Given

$Red:Yellow = 2 : 3$

$Yellow: Blue = 5 : 4$

Required

Determine the fraction of Red

First, we need to link the given ratios.

Since yellow is present in both ratios, we start by making the ratio of yellow equal in both ratios

Multiply this ratio by 5

$Red:Yellow = 2 : 3$

This becomes

$Red:Yellow = 10 :15$

Similarly, multiply this ratio by 3

$Yellow: Blue = 5 : 4$

This becomes

$Yellow:Blue =15:12$

At this point, we have:

$Red:Yellow = 10 :15$ and $Yellow:Blue =15:12$

Combine

$Red:Yellow:Blue = 10:15:12$

The fraction is then calculated as:

$Red = \frac{Red}{Red +Yellow + Blue}$

This gives

$Red = \frac{10}{10+15+12}$

$Red = \frac{10}{37}$

7 0

3 years ago

A company manufactures televisions in batches of 25 and there is a 1% rate of defects. Find

ludmilkaskok [199]

The standard deviation for the number of defects per batch is 0.5

<h3><u>Solution:</u></h3>

<em><u>In binomial distribution, standard deviation is given as:</u></em>

$\sigma=\sqrt{np(1-p)}$

Where "n" is the number of observations

"p" is probability of getting success

We are given that ,

Total batches of televisions : n = 25

The probability of defects : p = 1% = 0.01

Here success is getting defective batch

Then, the standard deviation for the number of defects per batch will be:

Plugging in values in formula, we get

$\sigma=\sqrt{(25)(0.01)(1-0.01)}\\\\=\sqrt{(25)(0.01)(0.99)}\\\\=\sqrt{0.2475}\\\\=0.497493718553\approx0.5$

Therefore, the standard deviation for the number of defects per batch = 0.5

5 0

3 years ago

A company claims that their new bottle holds 40% more laundry soap.

ankoles [38]

Answer:

74.2

Step-by-step explanation:

53 x .4 = 21.2

21.2 + 53 = 74.2

6 0

3 years ago

Which linear function is represented by the graph?

tankabanditka [31]

Answer:

The answer is B

Step-by-step explanation:

5 0

3 years ago