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jonny [76]
3 years ago
15

I'M GIVING OUT BRAINLIEST! Terry and Tao are canoeing on a lake that is 2350 meters across from the west side of the lake to the

east side. Terry rows at 50 meters per minute and Tao rows at 10 meters per minute. Terry starts rowing at 2 PM from the west end of the lake, and Tao starts rowing from the east end of the lake at 2:05 PM. If they always row directly towards each other, at what time will the two meet?
Mathematics
1 answer:
OLEGan [10]3 years ago
6 0

Answer:

  2:40 PM

Step-by-step explanation:

Terry's 5-minute head start has reduced the distance between them by ...

  (5 min)(50 m/min) = 250 m

After Tao starts, at 2:05 PM, the remaining 2350 -250 = 2100 m of distance is being closed at the rate of 50 +10 = 60 m/min. It will take ...

  (2100 m)/(60 m/min) = 35 min

to close the remaining distance between the rowers. 35 minutes after Tao starts is 2:05 + 0:35 = 2:40 PM.

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There are 120 students in class 7. it is known that 2 3 out of them like maths, out of which 35 are girls. also, out of total st
Bas_tet [7]

maths questions can be solved using unitary method.

<u>Answer:</u>

(a) The total number of girls in the class are 48

(b) The total number of students that like maths are 80

(c) The total number of boys like maths are 45

<u>Solution:</u>

According to the question, \frac{3}{5} of total students are boys

number of boys = \frac{3}{5} × 120 = 72

Also, According to the question, \frac{2}{3} of total students like maths

number of students = \frac{2}{3} × 120 =80

(a) The total number of girls in the class = total number of students - total number of boys

total number of girls in the class = 120 - 72 = 48

(b) The total number of students that like maths are 80

(c) The total number of boys like maths = total number of students that like maths - total number of girls that like maths

total number of boys like maths = 80 - 35 = 45

What is unitary method?

The unitary approach is a strategy for problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value.

know more about similar unitary method numericals

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2 years ago
36.2 rounding to the nearest tenth​
guapka [62]

This is what I found

Step-by-step explanation: To round 36.2 to the nearest tenth consider the hundredths' value of 36.2, which is 0 and equal or more than 5. Therefore, the tenths value of 36.2 increases by 1 to 3.

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3 years ago
There are stars to circle there are 4 stars and 2 circles how much is the ratio
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Answer:

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Step-by-step explanation:

The original ratio is 4:2. Divide both sides by 2. Then you get 2:1.

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25 coconuts were in the originalpile the first sailor gave one of them to the monkeys and took 1/3 of the 24th equals eight which left 16 the second sailor gave one to the monkey and took 1/3 of 15 then all three sailors took two more each
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4 years ago
A genetic experiment involving peas yielded one sample of offspring consisting of 437437 green peas and 129129 yellow peas. Use
navik [9.2K]

Answer:

The null hypothesis: \mathbf{H_o: p=0.27}

The alternative hypothesis: \mathbf{H_1: p \neq 0.27}

Test statistics : z = −2.30

P-value:  = 0.02144

Decision Rule: Since the p-value is lesser than the level of significance; then we reject the null hypothesis.

Conclusion: We accept the alternative hypothesis and  conclude that under the same​ circumstances the proportion of offspring peas will be yellow is not equal to 0.27

Step-by-step explanation:

From the given information:

Let's state the null and the alternative hypothesis;

Since The claim is that 27%  of the offspring peas will be yellow.

The null hypothesis state that the proportion of offspring peas will be yellow is equal to 0.27.

i.e

\mathbf{H_o: p=0.27}

The alternative hypothesis  state that the proportion of offspring peas will be yellow is not equal to 0.27

\mathbf{H_1: p \neq 0.27}

<u>The test statistics:</u>

we are given 437 green peas and 129 yellow apples;

Hence;

\hat p = \dfrac{x}{n}

where ;

\hat p = sample proportion

x = number of success

n = total number of the sample size

\hat p = \dfrac{129}{437+129}

\hat p = \dfrac{129}{566}

\mathbf{\hat p = 0.2279}

Now; the test statistics can be computed as :

z = \dfrac { \hat p -p }{\sqrt {\dfrac{p(1-p)}{n}  } }

z = \dfrac {0.2279 -0.27 }{\sqrt {\dfrac{0.27(1-0.27)}{566}  } }

z = \dfrac {-0.043 }{\sqrt {\dfrac{0.27(0.73)}{566}  } }

z = \dfrac {-0.043 }{\sqrt {\dfrac{0.1971}{566}  } }

z = \dfrac {-0.043 }{\sqrt {3.48233216*10^{-4} } }

z = \dfrac {-0.043 }{0.01866} }

z = −2.30

C. P-value

P-value = P(Z < z)

P-value = P(Z< -2.30)

By using the ​ P-value method and the normal distribution as an approximation to the binomial distribution.

from the table of standard normal distribution

move left until the first column is reached. Note the value as –2.0

move upward until the top row is reached. Note the value as 0.30

find the probability value as 0.010724 by the intersection of the row and column values gives the area to the left of

z = -2.30

P- value = 2P(z ≤ -2.30)

P-value = 2 × 0.01072

P - value = 0.02144

Decision Rule: Since the p-value is lesser than the level of significance; then we reject the null hypothesis.

Conclusion: We accept the alternative hypothesis and  conclude that under the same​ circumstances the proportion of offspring peas will be yellow is not equal to 0.27

8 0
3 years ago
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