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Ymorist [56]
2 years ago
12

A farmer sells 8.2 kilograms of apples and pears at the farmer's market. 1/4 of this weight is

Mathematics
1 answer:
Bumek [7]2 years ago
5 0

Answer:

6.15 kilograms of pears

Step-by-step explanation:

The total is 8.2 kilograms. Since 1/4 of the weight is apples, we know that 3/4 of the weight is pears. So we multiply 8.2*0.75.

8.2*0.75=6.15

Therefore, the farmer sold 6.15 kilograms of pears at the farmer's market.

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Given the coordinates A (5, 7, -2) and B (8, 3, 4) in 3d space, express AB as:
lys-0071 [83]
The vector AB is found by subtracting the coordinates of point B from the coordinates of point A => (8, 3, 4) - (5, 7, - 2)

(8, 3, 4) - (5, 7, - 2) = (3, - 4, 6)

=>

a) a 3 x 1 column =

|  3  |
| -4  |
|  6  |

b) xi + yj + zk

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4 0
3 years ago
Past experience has indicated that the breaking strength of yarn used in manufacturing drapery material is normally distributed
vlabodo [156]

Answer:

95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm)

Step-by-step explanation:

Our sample size is 11.

The first step to solve this problem is finding our degrees of freedom, that is, the sample size subtracted by 1. So

df = 11-1 = 10.

Then, we need to subtract one by the confidence level \alpha and divide by 2. So:

\frac{1-0.95}{2} = \frac{0.05}{2} = 0.025

Now, we need our answers from both steps above to find a value T in the t-distribution table. So, with 10 and 0.025 in the two-sided t-distribution table, we have T = 1.812

Now, we find the standard deviation of the sample. This is the division of the standard deviation by the square root of the sample size. So

s = \frac{4}{\sqrt{11}} = 1.2060

Now, we multiply T and s

M = Ts = 1.812*1.2060 = 2.19/tex]For the lower end of the interval, we subtract the sample mean by M. So the lower end of the interval here is[tex]L = 97 - 2.19 = 94.81 = 94.8cm

For the upper end of the interval, we add the sample mean and M. So the upper end of the interval here is

L = 97 + 2.19 = 99.19 = 99.2cm

So

95% two-sided confidence interval on the true mean breaking strength is (94.8cm, 99.2cm).

7 0
3 years ago
5a + 18 < −27 pre algibra
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Answer:

X < -9

Step-by-step explanation:

5a +18 < -27

5a < -27 -18

5a < - 45

5a/5 < - 45/5

a < - 9

Answred by Gauthmath

5 0
2 years ago
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To indirectly measure the distance across a river, Carson stands on one side of the
galina1969 [7]

Answer:

30

Step-by-step explanation:

I just did this at school lol

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2 years ago
Whats the answer? A, B, C, or D??
vesna_86 [32]

Answer:

C is the correct answer

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