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Zielflug [23.3K]
3 years ago
12

Question

Mathematics
1 answer:
Alekssandra [29.7K]3 years ago
8 0

Answer:

d=7.8\ g/cm^3

Step-by-step explanation:

Given that,

The dimensions of a rectangular block = 4 cm x 2 cm x 1.5 cm

Mass, m = 93.6 g

We need to find the density of steel. We know that the density of an object is equal to the mass divided by volume. So,

d=\dfrac{m}{V}\\\\d=\dfrac{93.6}{4\times 2\times 1.5}\\\\d=7.8\ g/cm^3

So, the density of the steel is 7.8\ g/cm^3.

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In a math class with 27 students, a test was given the same day that an assignment was due. There were 17 students who passed th
timama [110]

Answer:

The probability that a student who completed the homework failed the test is 0.211.

Step-by-step explanation:

The probability of an event <em>E</em> is the ratio of the favorable number of outcomes to the total number of outcomes.

P(E)=\frac{n(E)}{N}

The conditional probability of an event <em>A</em> given that another event <em>B</em> has already occurred is:

P(A|B)=\frac{P(A\cap B)}{P(B)}

Denote the events as follows:

P = a student passes the test

F = a student fails the test

X = a student completes the assignment

Y = a student does not completes the assignment

From the information provided the summary table is as follows:

             P            F         Total

 X         <u>15</u>           <u>4</u>           19

 Y          <u>2</u>            <u>6</u>            <u>8</u>

Total      17          <u>10</u>          27

Compute the probability that a student completed the assignment and failed the test as follows:

P(X\cap F)=\frac{n (X\cap F)}{N}=\frac{4}{27}

Compute the probability that a student completed the assignment as follows:

P(X)=\farc{19}{27}

Compute the probability that a student failing the test given that the student completed the assignment as follows:

P(F|X)=\frac{P(X\cap F)}{P(X)}=\frac{4/27}{19/27}=\frac{4}{19}=0.21053\approx 0.211

Thus, the probability that a student who completed the homework failed the test is 0.211.

7 0
3 years ago
1.23/16 prosto do matury potrzebuję pomocy!
Anestetic [448]
1.23/16 = 0.076875 . totally answer
7 0
3 years ago
What is 7/5 divided by 3/10
Mazyrski [523]

Answer:

\frac{11}{10} or 1\frac{1}{10}

Step-by-step explanation:

\frac{7}{5} ÷\frac{3}{10}

= \frac{(7 * 10) - (3 * 5)}{5 * 10}

= \frac{55}{50}

=\frac{55 / 5}{50 / 5}

= \frac{11}{10} or 1\frac{1}{10}

8 0
4 years ago
Christy rented a banquet hall for her company party. There was a non-refundable deposit of $300 to reserve the space and an $85
rusak2 [61]

Answer:

a

Step-by-step explanation:

300 to reserve + 85 fee = 385, plus 27 per person or (27b) which equals 2,653. 27b + 385= 2,653. solve the equation for b and the answer is 84

3 0
4 years ago
Joan walked 50 dogs this week. 40% of the dogs were brown. How many dogs were brown?
VMariaS [17]

Answer: 20

Step-by-step explanation:

4 0
3 years ago
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