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3 years ago

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A scientist poured 2/3 of a liter of water into a cup and 3/10 of a liter of water into a jar. Which comparisons are true about

the amounts of water the scientist poured?

1 answer:

Ratling [72]3 years ago

6 0

Answer:

Step-by-step explanation:

The cup has 33.(66)% more liters than the jar.

The cup has more water than the jar.

The cup has 11/30 more liters of water than the jar.

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Can someone help me? I'm trying to find the slope form of 4x + 2y = 4.

Neporo4naja [7]

Here, Equation: 4x + 2y = 4
Divide the equation by 2,
2x + y = 2
y = -2x + 2

Now, compare the equation with y = mx + c
Here, slope (m) = -2

In short, Your Answer would be -2

Hope this helps!

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3 years ago

The graphs of f(x)=2x+4 and g(x)=10−4x intersect at (1, 6) . What is the solution of the equation 2x+4=10−4x ?

Gnoma [55]

Answer:

x=1 is the solution of the equation 2x+4=10−4x

Step-by-step explanation:

The graphs of f(x)=2x+4 and g(x)=10−4x intersect at (1, 6)

2x +4 = 10 - 4x

We need to solve for x by combining like terms

Add 4x on both sides

6x + 4= 10

Now subtract 4 on both sides

6x = 6

divide both sides by 6

x= 1

x=1 is the solution of the equation 2x+4=10−4x

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3 years ago

I will mark brainlyest plss helpp

lana [24]

Answer:

The answer is C

Step-by-step explanation:

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3 years ago

Read 2 more answers

Consider the following hypothesis test:

Gnom [1K]

Answer:

a. z=3.09. Yes, it can be concluded that the population mean is greater than 50.

b. z=1.24. No, it can not be concluded that the population mean is greater than 50.

c. z=2.22. Yes, it can be concluded that the population mean is greater than 50.

Step-by-step explanation:

We have a hypothesis test for the mean, with the hypothesis:

$H_0: \mu\leq50\\\\H_a:\mu> 50$

The sample size is n=55 and the population standard deviation is 6.

The significance level is 0.05.

We can calculate the standard error as:

$\sigma_M=\dfrac{\sigma}{\sqrt{n}}=\dfrac{6}{\sqrt{55}}=0.809$

For a significance level of 0.05, the critical value for z is zc=1.644. If the test statistic is bigger than 1.644, the null hypothesis is rejected.

a. If the sample mean is M=52.5, the test statistic is:

$z=\dfrac{M-\mu}{\sigma_M}=\dfrac{52.5-50}{0.809}=\dfrac{2.5}{0.809}=3.09$

The null hypothesis is rejected, as z>zc and falls in the rejection region.

b. If the sample mean is M=51, the test statistic is:

$z=\dfrac{M-\mu}{\sigma_M}=\dfrac{51-50}{0.809}=\dfrac{1}{0.809}=1.24$

The null hypothesis failed to be rejected, as z<zc and falls in the acceptance region.

c. If the sample mean is M=51.8, the test statistic is:

$z=\dfrac{M-\mu}{\sigma_M}=\dfrac{51.8-50}{0.809}=\dfrac{1.8}{0.809}=2.22$

The null hypothesis is rejected, as z>zc and falls in the rejection region.

8 0

4 years ago

Hey can you please help me posted picture of question

aleksandrvk [35]

The correct answer is D. Graph D

Find the Vertex of   <span>y = 3x2+7x+2

</span>Parabolas have a highest or a lowest point called the Vertex .   Our parabola opens up and accordingly has a lowest point (AKA absolute minimum) .   <span>We know this even before plotting </span> "y" <span> because the coefficient of the first term,</span> 3 , is positive (greater than zero).<span>

</span><span>Each parabola has a vertical line of symmetry that passes through its vertex. Because of this symmetry, the line of symmetry would, for example, pass through the midpoint of the two </span> x -intercepts (roots or solutions) of the parabola. That is, if the parabola has indeed two real solutions.<span>

</span>Parabolas can model many real life situations, such as the height above ground, of an object thrown upward, after some period of time. The vertex of the parabola can provide us with information, such as the maximum height that object, thrown upwards, can reach. For this reason we want to be able to find the coordinates of the vertex.<span>

</span>For any parabola,<span>Ax2+Bx+C,</span><span>the </span> x <span>-coordinate of the vertex is given by </span> -B/(2A) <span>. In our case the </span> x <span> coordinate is </span> -1.1667 <span>

</span><span>Plugging into the parabola formula </span> -1.1667 <span> for </span> x <span> we can calculate the </span> y -coordinate :<span>
</span><span> y = 3.0 * -1.17 * -1.17 + 7.0 * -1.17 + 2.0
</span><span>or </span><span>  y = -2.083
</span>Parabola, Graphing Vertex and X-Intercepts :

Root plot for : <span> y = 3x2+7x+2</span>
Axis of Symmetry (dashed) {x}={-1.17}
Vertex at {x,y} = {-1.17,-2.08}
x -Intercepts (Roots) :
Root 1 at {x,y} = {-2.00, 0.00}
Root 2 at<span> {x,y} = {-0.33, 0.00} </span>

5 0

3 years ago

Read 2 more answers