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natta225 [31]
1 year ago
10

A fisherman can

Mathematics
1 answer:
viva [34]1 year ago
5 0

Answer:

4 [miles].

Step-by-step explanation:

1) the condition 'the entire trip took 5 hours' can be written as (where t_us - time spent upstream, t_ds - time spent downstream)

t_{us}+t_{ds}=5;

2) but the distance [D] upstream is equal the distance downstream, then the condition above can be written:

\frac{D}{V_{us}} +\frac{D}{V_{ds}} =5; \ (V_{us}-rowing \ upstream,V_{ds}-rowing \ downstream);

3) finally,

D=\frac{5V_{us}*V_{ds}}{V_{us}+V_{ds}};

D=5*4/5=4 [miles].

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What is 5 5/7 × 3 1/5 ?
laila [671]

Answer:

128/7 or 18 2/7

Step-by-step explanation:

the decimal answer is 18.28571428... so if you round it, it is 18.3

6 0
3 years ago
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In a random sample of 7 residents of the state of California, the mean waste recycled per person per day was 1.5 pounds with a s
ale4655 [162]

Answer:

CI(99%) = ( 0.93 , 2.07)

Therefore at 99% confidence interval (a,b) = ( 0.93 , 2.07)

Critical value z(at 99% confidence) = z(0.005) = 2.58

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean gain x = 1.5

Standard deviation r = 0.58

Number of samples n = 7

Confidence interval = 99%

Critical value z(at 99% confidence) = z((1-0.99)/2)

z(0.005) = 2.58

Substituting the values we have;

1.5+/-2.58(0.58/√7)

1.5+/-2.58(0.2192)

1.5+/-0.565536

1.5+/-0.57

= ( 0.93 , 2.07)

Therefore at 99% confidence interval (a,b) = ( 0.93 , 2.07)

7 0
3 years ago
A farmer sold 1/4 of his 1500 flock of sheep. how many sheep dd he sell?<br>​
Alex787 [66]

Answer:

375 sheep.

Step-by-step explanation:

To find 1/4 of 1500, you must divide the number by the denominator of the fraction.

1500 ÷ 4 = 375

5 0
2 years ago
What is the greatest common factor (gcf) for 26 and 78?<br>6<br><br>13<br><br>26 <br><br>3<br><br>2
saul85 [17]

For this case we have that by definition, the GCF of two numbers is the biggest common factor that divides both numbers without leaving residue. We find the factors:

26: 1,2,13,26

78: 1,2,3,6,13,26

Thus, the GCF of both numbers is 26

Answer:

26

Option C

8 0
2 years ago
7. Is it proportional?
SCORPION-xisa [38]

Answer:

A unit rate is the rate of change in a relationship where the rate is per 1.

The rate of change is the ratio between the x and y (or input and output) values in a relationship.  Another term for the rate of change for proportional relationships is the constant of proportionality.

If the rate of change is yx, then so is the constant of proportionality.  To simplify things, we set  yx=k, where k represents the constant of proportionality.  

If you solve a yx=k equation for y, (like this: y=kx), it is called a direct variation equation. In a direct variation equation, y varies directly with x. When x increases or decreases, y also increases or decreases by the same proportion.

To find y in a direct variation equation, multiply x by the constant of proportionality, k.

For example: Given the relationship y=7x, the constant of proportionality k=7,  so if x=3,  then y=3×7 or 21.

Given the same relationship, if x=7,  then y=7×7, or 49.  

Step-by-step explanation:

4 0
2 years ago
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