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3 years ago

Rearrange to make x the subject 4(x – 3) = y a

Mathematics

2 answers:

Svet_ta [14]3 years ago

6 0

Answer:

....................

amm18123 years ago

5 0

Answer: If i mis understood the question just comment and ill redo it.

Step-by-step explanation: Please give brainliest.

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Y varies directly with x. If y=25 when x=5, find y when x =-4 y =

alina1380 [7]

Answer:

y = -20

Step-by-step explanation:

Given that y varies directly with x it means changing x will also cause change in y

Mathematically it can be written as:

y∝x

Removing the proportionality symbol

y = kx

Given y=25 when x=5 Putting the values

$25 = k(5)\\k = \frac{25}{5}\\k = 5$

Now

$y = 5x$

We have to find the value of y when x = -4

Putting x=-4

$y = 5(-4)\\y = -20$

Hence,,

y = -20

7 0

3 years ago

Assuming that x=-2 and y=3 evaluate xy-x^3

meriva

(-2^3) = -8.
-2 times 3 = -6.

The expression is now -6 - (-8).

-6 + 8 = 2.

The answer should be 2.

4 0

2 years ago

What happens to the value of the expression 10/d as d increases from a small positive number to a large positive number?

Zepler [3.9K]

The quotient, or resulting number, will decrease.

8 0

3 years ago

Read 2 more answers

Which of the following is not a prime factor?

Liono4ka [1.6K]

63 is the answer to your problem. Hope this helps!

8 0

3 years ago

Read 2 more answers

In a completely randomized experimental design, three brands of paper towels were tested for their ability to absorb water. Equa

arlik [135]

Answer:

Yes. At this significance level, there is evidence to support the claim that there is a difference in the ability of the brands to absorb water.

Step-by-step explanation:

The question is incomplete:

The significance level is 0.05.

The data is:

Brand X: 91, 100, 88, 89

Brand Y: 99, 96, 94, 99

Brand Z: 83, 88, 89, 76

We have to check if there is a significant difference between the absorbency rating of each brand.

Null hypothesis: all means are equal

$H_0:\mu_x=\mu_y=\mu_z$

Alternative hypothesis: the means are not equal

$H_a: \mu_x\neq\mu_y\neq\mu_z$

We have to apply a one-way ANOVA

We start by calculating the standard deviation for each brand:

$s_x^2=30,\,\,s_y^2=6,\,\,s_z^2=35.33$

Then, we calculate the mean standard error (MSE):

$MSE=(\sum s_i^2)/a=(30+6+35.33)/3=71.33/3=23.78$

Now, we calculate the mean square between (MSB), but we previously have to know the sample means and the mean of the sample means:

$M_x=92,\,\,M_y=97,\,\,M_z=84\\\\M=(92+97+84)/3=91$

The MSB is then:

$s^2=\dfrac{\sum(M_i-M)^2}{N-1}\\\\\\s^2=\dfrac{(92-91)^2+(97-91)^2+(84-91)^2}{3-1}\\\\\\s^2=\dfrac{1+36+49}{2}=\dfrac{86}{2}=43\\\\\\\\MSB=ns^2=4*43=172$

Now we calculate the F statistic as:

$F=MSB/MSE=172/23.78=7.23$

The degrees of freedom of the numerator are:

$dfn=a-1=3-1=2$

The degrees of freedom of the denominator are:

$dfd=N-a=3*4-3=12-3=9$

The P-value of F=7.23, dfn=2 and dfd=9 is:

$P-value=P(F>7.23)=0.01342$

As the P-value (0.013) is smaller than the significance level (0.05), the null hypothesis is rejected.

There is evidence to support the claim that there is a difference in the ability of the brands to absorb water.

3 0

3 years ago