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2 years ago

5

barnaby has 288 counters in a bag. the counters are red yellow and white. 3/8 of the counters are yellow and white in the ratio

of 1:4. work out how many counters of each colour there are.

1 answer:

postnew [5]2 years ago

8 0

Answer:

idk

Step-by-step explanation:

You might be interested in

Given EP = FP and GQ = FQ, what is the perimeter of ΔEFG?

eduard

x is $\frac{2y + 1}{2y - 3}$

<u>Explanation:</u>

Given:

EP = FP

GQ = FQ

Since the sides are equal, the ΔFPQ and ΔFEG are similar.

According to the property of similarity:

$\frac{FP}{PE} =\frac{FQ}{QG}$

On substituting the value:

$\frac{2x}{4y+2} = \frac{3x-1}{4y + 4} \\\\2x ( 4y + 4) = (3x-1)(4y+2)\\\\8xy + 8x = 12xy + 6x - 4y - 2\\\\4xy - 6x - 4y - 2 = 0\\\\2xy - 3x - 2y - 1 = 0\\\\2xy - 3x = 2y + 1\\\\x(2y - 3) = 2y +1\\\\x = \frac{2y+1}{2y-3}$

Perimeter will be sum of all the sides. If y is known then substitute the value and then find the perimeter.

5 0

2 years ago

Use Gauss's Law to find the charge contained in the solid hemisphere x2 + y2 + z2 ≤ a2, z ≥ 0, if the electric field is E(x, y,

Anit [1.1K]

Answer:<em><u> $\frac{16}{3}$ π $a^{3}$ . </u></em>

Given:

$x^{2}+y^{2}+z^{2} \leq a^{2}, z \geq 0$

Using Gauss's Law = ∫∫s E ·dS

= ∫∫∫ div E dV,

⇒ Divergence (Gauss') Theorem

= ∫∫∫ (1+1+6) dV

= 8×(volume of the hemisphere, radius "a")

= 8× ( $\frac{1}{2}$ )(4/3)π $a^{3}$

<em><u>= $\frac{16}{3}$ π $a^{3}$ . </u></em>

6 0

2 years ago

Which equation is equivalent to –k + 0.03 + 1.01k = –2.45 – 1.81k?

ElenaW [278]

K(-1+1.01)+0.03=-2.45-1.81k
0.01k+1.81k=-0.03-2.45
1.82k=-2.42
k=-2.45\1.82=1.3

7 0

1 year ago

At a recent county fair, you observed that at one stand people's weight was forecasted, and were surprised by the accuracy (with

MatroZZZ [7]

Answer:

a)Slope: $\hat \beta_1 =\frac{7625.9}{1248.9}=6.106$

Intercept: $\hat \beta_o = 157.955 -6.106 (69.686)=-267.548$

b) $r=\frac{7625.9}{\sqrt{[1248.9][94228.8]}}=0.657$

And the determination coeffecient is $r^2 = 0.657^2 =0.432$

Step-by-step explanation:

Data given and definitions

The correlation coefficient is a "statistical measure that calculates the strength of the relationship between the relative movements of two variables". It's denoted by r and its always between -1 and 1.

The sum of squares "is the sum of the square of variation, where variation is defined as the spread between each individual value and the grand mean"

When we conduct a multiple regression we want to know about the relationship between several independent or predictor variables and a dependent or criterion variable.

n=110, $\sum x_i y_i = \sum (X-\bar X)(Y-\bar Y) =7625.9,\sum x^2_i=\sum (x-\bar x)^2 =1248.9 , sum y^2_i=\sum(y-\bar y)^2 =94228.8$

$\sum Y_i =17375 , \sum X_i = 7665.5$

Part a

The slope is given by this formula:

$\hat \beta_1 =\frac{\sum (x-\bar x) (y-\bar y)}{\sum (x-\bar x )^2}$

If we replace we got:

$\hat \beta_1 =\frac{7625.9}{1248.9}=6.106$

We can find the intercept with the following formula

$\hat \beta_o = \bar y -\hat \beta_1 \bar x$

We can find the average for x and y like this:

$\bar X=7665.5/110 =69.686, \bar y= 17375/110=157.955$

And replacing we got:

$\hat \beta_o = 157.955 -6.106 (69.686)=-267.548$

Part b

In order to calculate the correlation coefficient we can use this formula:

$r=\frac{\sum (x-\bar x)(y-\bar y) }{\sqrt{[\sum (x-\bar x)^2][\sum(y-\bar y)^2]}}$

For our case we have this:

n=110, $\sum x_i y_i = \sum (X-\bar X)(Y-\bar Y) =7625.9,\sum x^2_i=\sum (x-\bar x)^2 =1248.9 , sum y^2_i=\sum(y-\bar y)^2 =94228.8$

So we can find the correlation coefficient replacing like this:

$r=\frac{7625.9}{\sqrt{[1248.9][94228.8]}}=0.657$

And the determination coeffecient is $r^2 = 0.657^2 =0.432$

6 0

2 years ago

Liam volunteers to help plan the event. The first month, he volunteered for x hours. The next month, he volunteered for 1 2/3 ti

Eddi Din [679]

Answer:

<u>Hours in first month = 8</u>

Step-by-step explanation:

AS it is given

He volunteered fr the first month = x hours

He volunteered for the second month = 12/3 times of first month

which will be = 12/3 * x

Total Hours volunteered = 40 hours

Now according to the given conditions

Volunteered first month + volunteered second month = total

putting this gives

x + 12/3 8 x = 40

as 12/3 = 4 so

it becomes

x + 4x = 40

solcing it will gives

5x = 40

x = 40/5

x = 8

<u><em>So Numbers of hours worked in first month are 8</em></u>

<u><em></em></u>

<u>I hope this help you! :)</u>

6 0

1 year ago