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2 years ago

5

eleven of the 19 in a math class or female determine the percent of females in the class and then convert the fraction to a deci

mal and then to a percent round the percent to one decimal place

1 answer:

Kipish [7]2 years ago

8 0

Answer:

57.9

Step-by-step explanation:

11/19×100=57.894 to one decimal place =57.9

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A rectangle and a square have the same area. The width of the rectangle is 2 in less than the side of the square and the length

lina2011 [118]

The area of a rectangle is A=LW, the area of a square is A=S^2.

W=S-2 and L=2S-3

And we are told that the areas of each figure are the same.

S^2=LW, using L and W found above we have:

S^2=(2S-3)(S-2) perform indicated multiplication on right side

S^2=2S^2-4S-3S+6 combine like terms on right side

S^2=2S^2-7S+6 subtract S^2 from both sides

S^2-7S+6=0 factor:

S^2-S-6S+6=0

S(S-1)-6(S-1)=0

(S-6)(S-1)=0, since W=S-2, and W>0, S>2 so:

S=6 is the only valid value for S. Now we can find the dimensions of the rectangle...

W=S-2 and L=2S-3 given that S=6 in

W=4 in and L=9 in

So the width of the rectangle is 4 inches and the length of the rectangle is 9 inches.

5 0

3 years ago

Find the volume of a cone with a diameter of 12 m and a height of 6 m.

castortr0y [4]

Answer: D. 72 m

Step-by-step explanation:

The formula for the volume of a cone is Volume = pi times radius squared and then times the height, and then divided by 3.

Since the diameter is 12, the radius is 6. Applying the formula, 6 squared is 36, times pi is 36 pi. The height is 6 so 36 * 6 = 216.

But be careful, we're not done yet... We still have to divide by 3

216 / 3 = 72

we can be sure this answer is correct because the other answers are clearly too big

here's your answer, hope this helps :)

3 0

3 years ago

A tobacco company claims that its best-selling cigarettes contain at most 40 mg of nicotine. The average nicotine content from a

tatuchka [14]

Answer:

$t=\frac{42.6-40}{\frac{3.7}{\sqrt{15}}}=2.722$

$df=n-1=15-1=14$

$p_v =P(t_{(14)}>2.722)=0.0083$

We see that the p value is lower than the significance level given of 0.01 so then we can conclude that the true mean for the nicotine content is significantly higher than 40 mg

Step-by-step explanation:

Information provided

$\bar X=42.6$ represent the average nicotine content

$s=3.7$ represent the sample standard deviation

$n=15$ sample size

$\mu_o =40$ represent the value to check

$\alpha=0.01$ represent the significance level for the hypothesis test.

t would represent the statistic

$p_v$ represent the p value for the test

System of hypothesis

We want to verify if the nicotine content of the cigarettes exceeds 40 mg , the system of hypothesis are:

Null hypothesis: $\mu \leq 40$

Alternative hypothesis: $\mu > 40$

The statistic for this case would be:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

And replcing we got:

$t=\frac{42.6-40}{\frac{3.7}{\sqrt{15}}}=2.722$

The degrees of freedom are:

$df=n-1=15-1=14$

The p value would be:

$p_v =P(t_{(14)}>2.722)=0.0083$

We see that the p value is lower than the significance level given of 0.01 so then we can conclude that the true mean for the nicotine content is significantly higher than 40 mg

6 0

3 years ago

Hi ! How to solve this question?

tester [92]

You should actually have

$-x^2-4x-10=-(x^2+4x+10)=-(x^2+4x+4+6)=-((x+2)^2+6)=-(x+2)^2-6$

Now, remember that $x^2$ is always non-negative, so $(x+2)^2\ge0$ for any value of $x$ . This means $-(x+2)^2\le0$ for any $x$ , and so

$-(x+2)^2-6\le0-6=-6$

i.e. f(x) is at most -6, and hence negative for all $x$ .

4 0

3 years ago

Mrs. Meyers is growing vines along the sides of her house. On the west side the vines are 2 4/10 meters tall. On the east side t

elena-s [515]

E=east vine’s height

e=24/10+58/10
e=82/10

e=8 1/5

5 0

3 years ago

Read 2 more answers