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kodGreya [7K]
3 years ago
14

A rectangular prism with length \ellℓell, width www, and height hhh has a volume of \ell w hℓwhell, w, h. What is the volume of

a prism which has a base of 5\text{ m}5 m5, space, m by 3\text{ m}3 m3, space, m, and a height of 4\text{ m}4 m4, space, m?
Mathematics
2 answers:
snow_lady [41]3 years ago
6 0

Answer:

5*3*4= 60

Step-by-step explanation:


Lynna [10]3 years ago
5 0

The volume of the prism is 60 m³

<u><em>Explanation</em></u>

A rectangular prism with length =l , width =w  and height =h has a volume of:  l*w*h

Given that, the prism has a base of  5 meter by 3 meter and height of 4 meter. That means,  l=5, w=3 and h=4

Plugging these values into the above formula, we will get........

l*w*h\\ \\ =(5 meter)*(3 meter)*(4 meter)\\ \\ =60 meter^3

Thus, the volume of the prism is 60 m³

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Answer:

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In the figure, the slope of mid-segment DE is -0.4. The slope of segment AC is?

A.) 0.4

B.) -0.4

C.) 2

D.) -2

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8 0
2 years ago
Toni and Jade live on the same street as the Middle School. Toni lives 6.1
Nataly_w [17]

Answer:

Jade and Toni are 58.1 miles apart from each other.

Step-by-step explanation:

All you have to do is add the distances.

52 + 6.1 = 58.1

5 0
3 years ago
Consider rolling two fair dice one 3-sided the other 5-sided
Ne4ueva [31]

Since the dice are fair and the rolling are independent, each single outcome has probability 1/15. Every time we choose

1\leq x\leq 3,\quad 1\leq y \leq 5

We have P(X=x)=\frac{1}{3} and P(Y=y)=\frac{1}{5}, because the dice are fair.

Now we use the assumption of independence to claim that

P(X=x, Y=y) = P(X=x)\cdot P(Y=y) =\dfrac{1}{3}\cdot\dfrac{1}{5} = \dfrac{1}{15}

Now, we simply have to count in how many ways we can obtain every possible outcome for the sum. Consider the attached table: we can see that we can obtain:

  • 2 in a unique way (1+1)
  • 3 in two possible ways (1+2, 2+1)
  • 4 in three possible ways
  • 5 in three possible ways
  • 6 in three possible ways
  • 7 in two possible ways
  • 8 in a unique way

This implies that the probabilities of the outcomes of W=X+Y are the number of possible ways divided by 15: we can obtain 2 and 8 with probability 1/15, 3 and 7 with probability 2/15, and 4, 5 and 6 with probabilities 3/15=1/5

8 0
2 years ago
Can someone help me with this question?<br> 16 + (c + 17) = (16 + c) + 17
Furkat [3]

Answer:

c=∞

Step-by-step explanation:

Well first step we can add 16+17 on both sides

33+c=33+c

-33      -33

c=c

The answer is infinity

7 0
2 years ago
An article includes the accompanying data on compression strength (lb) for a sample of 12-oz aluminum cans filled with strawberr
seraphim [82]

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean compression strength from the extra carbonation of strawberry drink and μ2 be the mean compression strength from the extra carbonation of cola.

The random variable is μ1 - μ2 = difference in the mean compression strength from the extra carbonation of strawberry drink and the mean compression strength from the extra carbonation of cola.

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 < μ2 H1 : μ1 - μ2 < 0

This is a left tailed test.

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(x1 - x2)/√(s1²/n1 + s2²/n2)

From the information given,

x1 = 530

x2 = 553

s1 = 23

s2 = 16

n1 = 10

n2 = 10

t = (530 - 533)/√(23²/10 + 16²/10)

t = - 2.6

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [23²/10 + 16²/10]²/[(1/10 - 1)(23²/10)² + (1/10 - 1)(16²/10)²] = 6162.25/383.752

df = 16

We would determine the probability value from the t test calculator. It becomes

p value = 0.0097

Since alpha, 0.05 > than the p value, 0.0097, then we would reject the null hypothesis. Therefore, at 5% significance level, the data suggests that the extra carbonation of cola results in a higher average compression strength.

4 0
3 years ago
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