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3 years ago

What value of x makes 1/2 (3x+4) =1/2

Mathematics

1 answer:

Sever21 [200]3 years ago

5 0

Answer:

x = -1

Step-by-step explanation:

1/2 (3x +4 ) = 1/2

1/2 x 3x + 1/2 x 4 = 1/2

1.5 x + 2 = 1/2

1.5x = 1/2 -2

1.5x = -1.5

1.5x /1.5 = -1.5/1.5

x = -1

Check Back

1/2 ( 3 x -1 + 4) =1/2

1/2 ( 1) =1/2

1/2 =1/2

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Triangles A and B are similar. If the slope of Y is 4/5 what's the slope of x?

sdas [7]

Similar triangle Hypotenuse must have similar slopes. If you'll notice, y & x are parallel lines, so they will have equivalent slope

In short, Your Answer would be 4/5

Hope this helps!

5 0

3 years ago

Read 2 more answers

Find the value of 1 and 1/10-1/5

Andreyy89

9514 1404 393

Answer:

9/10

Step-by-step explanation:

(1 1/10) - 1/5 = (1 1/10) -2/10 = 1 + (1/10 -2/10) = 1 -1/10 = 9/10

1.1 -0.2 = 0.9 = 9/10

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3 years ago

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:

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