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3 years ago

What is the volume of the figure composed of two congruent triangular prisms if a = 5 units, b = 2 units, and c = 7 units?

Mathematics

2 answers:

marin [14]3 years ago

4 0

Answer/Step-by-step explanation:

Volume = l*w*h

or in this case a*b*c

A*B = 5*2 = 10

Ab = 10

10* C = 10*7 = 70

ABC = 70^3 or 70 cubic units

<h2>Answer : C. 70 cubic units</h2>

sergiy2304 [10]3 years ago

3 0

Answer:

70 cubic units

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Chloe received 86% on her first test, a 47/50 in her next test, and a 0.89 on her third test. List her percentages in order from

Mumz [18]

Answer:

84%, 86%, 89%

Step-by-step explanation:

The three numbers, expressed as percentages, are ...

86%
(47/50)×100% = 84%
0.89×100% = 89%

Smallest to largest, they are 84%, 86%, and 89%. In the original form, they are 47/50, 86%, and 0.89.

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3 years ago

65% convert to a fraction

I am Lyosha [343]

Answer:

$\frac{13}{20}$

Step-by-step explanation:

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3 years ago

Read 2 more answers

Aria paid $75,000 for her house. its property value increased by 2.2% per year. when aria sold her house after eleven years, how

Wewaii [24]

Answer:

Step-by-step explanation:

Converting percent to decimal : 2.2/100 = 0.022

Finding 2.2$ of $75k : 75,000 x 0.022 = $1,650 (also the increase in one year)

Finding how much it was worth after 11 years :

(75,000 x 0.022) x 11 = $18,150 or 1,650 x 11 = $18,150

Now add the product to the regular amount to find out the answer:

75,000 + 18,150 = $93,150 (which is how much it increased after 11 years)

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2 years ago

A box of 42 chocolates contains milk and dark chocolates in the ratio of 3:4. How many chocolates of each type there are?

Elza [17]

<h2>Answer:The number of milk chocolates are 18 and the number of dark chocolates are 24.</h2>

Step-by-step explanation:

Let the number of milk chocolates be $m$ .

Let the number of dark chocolates be $d$ .

Given that the box contains the milk and dark chocolates in the ratio $3:4$ .

So, $\frac{m}{d}=\frac{3}{4}$ ...(i)

Given that the total number of chocolates are $42$ .

So, $m+d=42$ . ...(ii)

Using (i) and (ii),

$m+\frac{4}{3}m=42$

$\frac{7}{3}m=42$

$m=18$

$d=\frac{4}{3}m=\frac{4}{3}\times 18=24$

So,the number of milk chocolates are $18$ and the number of dark chocolates are $24$ .

4 0

3 years ago

Pschological tests are often used to determine the hostility levels in people. High scores on the HLT pschological test correspo

algol13

Answer: the correct answer is we are 95% confident that there is no statistically significant difference in the mean treatment methods for hostility.

Step-by-step explanation:

1) Test for the equality of variances in the two groups to choose the appropriate t-test.

H0: σ (1)^2 = σ (2)^2

Ha: σ (1)^2 ≠ σ (2)^2

Larger variance = 64

Smaller variance = 49

F = 1.30612

Degrees of freedom 15 and 9

Critical F from the table (with alpha=0.05) = 2.58

Calculated F is smaller than critical F, so we use the pooled variance t-test.

Sample 1 size 7

Sample 2 size 8

Sample 1 mean 79

Sample 2 mean 84

Sample 1 S.D. 7

Sample 2 S.D. 8

Pooled S.D = [(n1-1)s1^2+(n2-1)s2^2]/(n1+n2-2)

Pooled variance s = [(6)(49)+(7)(64))] / (13) = (294+448)/13=742/13=57.076923

Pooled variance s^2 = 57.076923

Standard error of difference in means = sqrt(1/n1+1/n2) times sqrt(s^2)

Standard error of difference in means = (0.517549)(7.554927) = 3.910046 (denominator of t)

Confidence interval = (mean1-mean2) +/- t SE

t is the critical t with 24 degrees of freedom = 2.056

(79 - 84) +/- (2.056) (3.910046)

= (-13.04, 3.04)

Interval encloses 0

We are 95% confident that there is no statistically significant difference in the mean treatment methods for hostility.

4 0

3 years ago