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My name is Ann [436]
3 years ago
12

Which pyramids with base area B and height h have equal volumes.

Mathematics
1 answer:
Reptile [31]3 years ago
5 0

C and D

the volume ( V) of a pyramid is found using the formula

V = \frac{1}{3} × area of base × height

calculating each of the volumes gives

(A)  V = \frac{1}{3} × 10.5 × 6 = 21 in³

(B)  V = \frac{1}{3} × 3.6 × 8 = 9.6 in³

(C)  V = \frac{1}{3} × 4.2 × 12 = 16,8 in³

(D)  V = \frac{1}{3} × 6 × 8.4 = 16.8 in³

C and D have equal volumes


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A ball is thrown into the air with a velocity of 33 ft/s. Its height, in feet, after t seconds is given by
meriva

Answer:

velocity at t=1 is 1 ft/s

Step-by-step explanation:

by integration s(t) equation we get v(t)

v(t)=33-32t

by substitution t=1 in v(t) equation we get

33-32=1 ft/s

7 0
2 years ago
A clinical trial tests a method designed to increase the probability of conceiving a girl. In the study 335335 babies were​ born
strojnjashka [21]

Answer:

The 99​% confidence interval estimate of the percentage of girls born is (74.37%, 85.63%).

Usually, 50% of the babies are girls. This confidence interval gives values considerably higher than that, so the method to increase the probability of conceiving a girl appears to be very effective.

Step-by-step explanation:

Confidence Interval for the proportion:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the zscore that has a pvalue of 1 - \frac{\alpha}{2}.

For this problem, we have that:

n = 335, \pi = \frac{268}{335} = 0.8

99% confidence level

So \alpha = 0.01, z is the value of Z that has a pvalue of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

The lower limit of this interval is:

\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 - 2.575\sqrt{\frac{0.8*0.2}{335}} = 0.7437

The upper limit of this interval is:

\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.8 + 2.575\sqrt{\frac{0.8*0.2}{335}} = 0.8563

For the percentage:

Multiplying the proportions by 100.

The 99​% confidence interval estimate of the percentage of girls born is (74.37%, 85.63%).

Usually, 50% of the babies are girls. This confidence interval gives values considerably higher than that, so the method to increase the probability of conceiving a girl appears to be very effective.

7 0
4 years ago
Mei and Alberto are selling cookie dough. Mei sold 11 packages of chocolate chip and 12 packages of gingerbread for a total of $
ycow [4]

Answer:

The price of a package of chocolate chip is $13.25

The price of a package of gingerbread is $17.18

Step-by-step explanation:

11x + 12y = 352

10x +8y = 270

Let "x" be the price of a package of chocolate chip.

Let "y" be the price of a package of gingerbread.

11x + 12y = 352(Multiply the 1st row by 10)

10x +8y = 270 (Multiply the 2nd row by 11)

-------------------

110x + 120y = 3520

110x +88y = 2970

--------------------------

        3y = 550

y =550/3

y = 17.1875

The price of a package of gingerbread "y" is $17.18

Let's pick the first equation "110x + 120y = 3520"

110x + 120y = 3520

110x+ 120(17.1875)= 3520

110x+2062.5=3520

110x=3520−2062.5

110x=1457.5

x= 1457.5/110

x=13.25

The price of a package of chocolate chip is $13.25

6 0
3 years ago
I’ll give you 20 points if you help me
Nat2105 [25]

Answer:

  f(g(x)) = 2x +(-5)

Step-by-step explanation:

Put the argument value into the function and simplify the result.

  f(g(x)) = f(x -3) = 2(x- 3) +1 = 2x -6 +1

  f(g(x)) = 2x +(-5)

8 0
3 years ago
What should be added to 4x²-3x²+1 to make it a perfect square​
Vlad1618 [11]

im \: guessing \: its \: 4x {}^{2}  - 3x + 1 \\ (correct \: me \: if \: im \: wrong)

(a - b) {}^{2}  = a {}^{2}   - 2ab +  {b}^{2}

4x {}^{2}  = a {}^{2}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: b {}^{2}  = 1 \\ a = 2x \:  \:  \:  \:  \: \:  \:  \:  \:  \:  \:  \:  \:  \: b = 1

(2x - 1) {}^{2}  = 4x {}^{2}   -4x + 1

we \: need \: to \: add \: a \: - x \\ \: to \: the \: original \: equation

<h2>Note that this problem can be approached in many ways. For instance, we can add to the b² term instead of changing the middle term...</h2>
8 0
2 years ago
Read 2 more answers
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