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ale4655 [162]
2 years ago
15

Sam needs a bowll to mix her punch. She has a 2-cup bowl, a 4-cup bowl, and a 6-cup bowl. What is the smallest bowl Sam can use

to make the punch? Explain.
Mathematics
1 answer:
skelet666 [1.2K]2 years ago
4 0

Answer: 2-cup bowl

Step-by-step explanation:

Given: Sam has 2-cup bowl, a 4-cup bowl, and a 6-cup bowl.

here, Quantity in 2-cup <  Quantity in 4-cup <  Quantity in 6-cup .

So,  2-cup bowl is the smallest bowl with the least capacity.

So, if Sam is interested to make the punch in the smallest bowl, then she will absolutely take  2-cup bowl.

Hence, the smallest bowl Sam can use to make the punch =2-cup bowl

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75 - 3.5y - 4y = 4y + 6 <br> Solve for y please.
Alla [95]

Answer:

6

Step-by-step explanation:

75−3.5y−4y=4y+6

Step 1: Simplify both sides of the equation.

75−3.5y−4y=4y+6

75+−3.5y+−4y=4y+6

(−3.5y+−4y)+(75)=4y+6(Combine Like Terms)

−7.5y+75=4y+6

−7.5y+75=4y+6

Step 2: Subtract 4y from both sides.

−7.5y+75−4y=4y+6−4y

−11.5y+75=6

Step 3: Subtract 75 from both sides.

−11.5y+75−75=6−75

−11.5y=−69

Step 4: Divide both sides by -11.5.

−11.5y

−11.5

=

−69

−11.5

y=6

Hope this helps!

7 0
3 years ago
Read 2 more answers
Solve for y. Answer to the nearest tenth
AysviL [449]

Answer:

y = 11.5

Step-by-step explanation:

Given 2 secants from an external point to the circle.

Then the product of the external part and the whole of one secant is equal to the product of the external part and the whole of the other secant, that is

6(6 + y) = 5(5 + 16)

36 + 6y = 5 × 21 = 105 ( subtract 36 from both sides )

6y = 69 ( divide both parts by 6 )

y = 11.5

7 0
2 years ago
Write an inequality for the sentence. <br><br> c is not less than zero.
Zepler [3.9K]

c  \leqslant 0
6 0
3 years ago
Your state is considering raising the legal age for consumption of alcoholic beverages to 21 years old. How large a sample size
julsineya [31]

Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.01}{2.58})^2}=16641  

And rounded up we have that n=16641

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".  

The margin of error is the range of values below and above the sample statistic in a confidence interval.  

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".  

The population proportion have the following distribution

p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

Solution to the problem

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 99% of confidence, our significance level would be given by \alpha=1-0.99=0.01 and \alpha/2 =0.005. And the critical value would be given by:

z_{\alpha/2}=-2.58, t_{1-\alpha/2}=2.58

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.01 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

For this case we can use as estimator for the proportion \hat p =0.5, since we don't have any other previous info. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.01}{2.58})^2}=16641  

And rounded up we have that n=16641

8 0
3 years ago
write in graphing form please! A parabola that opens down with no stretch factor that has a vertex of (-6,5)
wolverine [178]
If it has no stretch factor, then there will be no coefficient. Meaning this is a lot easier. So, we equation is

(x+6)^2 + 5

Hope this helps!
<span />
8 0
3 years ago
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