What is the length of the base edge labeled x?

the volume of a rectangular pyramid is 192 cubic units. if it's dimensions are reduced to one-fourth their original lemgth. what

vekshin1

We know that
scale factor=1/4
so
volume of the smaller pyramid=[scale factor]³*volume original pyramid
volume original pyramid=192 unit³
volume of the smaller pyramid=[1/4]³*192---> (1/64)*192----> 3 units ³

the answer is

3 units³

4 0

3 years ago

Why me i'm gonna die help someone plz

AlexFokin [52]

A: 450. 1,350-1,200=150 x 3=450.
B: I'm not sure how to make a slope intercept graph... :(

8 0

3 years ago

Marcy got tickets to see the Backstreet Boys in Las Vegas. She wanted to sit in the middle seat of row 1 section 205, which is d

svlad2 [7]

No, False. All seats in row 1 are same viewing angle. They are inscribed angles measuring 90 degrees. All the seats on row 1 will have the exact same viewing angle because they form a semi-circle around the stage. these would be inscribed angles that have the endpoints of the stage. They would all be 90-degree agles because the stage creates a semicircle and the endpoints of the stage are all the same.

3 0

3 years ago

Solve for (a+1)/2=1/a.

LenKa [72]

Hello!

To solve this, you are trying to convert one side to a quadratic equation and the other to just 0. Then, solve the equation.

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First, move the /2 to the other side of the equation.

(a+1)/2 = 1/a

a+1 = 2/a

Next, multiply both sides by a.

a+1 = 2/a

$a^{2} +a=2$

And then subtract both sides by 2. This will get you to a quadratic equation.

$a^{2} +a=2$

$a^{2} +a-2=0$

Now, factor the equation. When we're factoring, we are looking for the form (a + b)(a + c), where b + c must equal 1 (the coefficient of a) and b*c must equal -2. In this case, b = 2, and c = -1.

Therefore:

$a^{2} +a-2=0$

(a + 2)(a - 1) = 0

To get the answer, recall that anything multiplied by 0 is equal to 0. Therefore, to get the left side to equal 0, either (a + 2) or (a - 1) must equal 0. To do this, a must either be -2 or 1.

Therefore, a = -2, or a = 1.

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Check your work:

(-2 + 1)/2 = 1/-2

-1/2 = -1/2

(1 + 1)/2 = 1/1

2/2 = 1/1

1 = 1

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Hope this helps!

6 0

3 years ago

Question 2: The average price for a BMW 3 Series Coupe 335i is $39,368. Suppose these prices are also normally distributed with

densk [106]

Answer:

0.015 = 1.5% of BMW dealers are pricing the BMW 3 Series Coupe 335i at more than the average price ($44,520) for a Mercedes CLK350 Coupe

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

$\mu = 39368, \sigma = 2367$