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e-lub [12.9K]
4 years ago
6

A farmer sells 9.8 kilograms of apples and pears at the famer's market. 3/4 of this weight is apples, and the rest is pears. How

mant kilograms of pears did she sell at the farmer's market
Mathematics
1 answer:
Umnica [9.8K]4 years ago
7 0

Answer:

2.45 kilos of pears

Step-by-step explanation:

9.8 times 1/4 is 2.45

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a model of a car is amde to a scale of 1:40. the volume of the model is 45cm^3. calcualte the volume of the car. give your answe
spin [16.1K]

The volume of the car is 1800cm^3 which is equivalent to 0.0018m^3

<h3>Scale modelling</h3>

Given the scale factor that model of a car is amde to a scale of 1:40, Giving that the model as 45cm^3, this means that;

1 = 45cm^2

Determine the volume of the car

40 = x

Find the ratio

1/40 = 45/x

x = 40*45

x = 1800cm^3

x = 0.0018m^3

Hence the volume of the car is 1800cm^3 which is equivalent to 0.0018m^3

Learn more on scale factor here; brainly.com/question/25722260

#SPJ1

6 0
2 years ago
According to a certain website, wine critics generally use a wine-scoring scale to communicate their opinions on the relative qu
const2013 [10]

Answer:

\bar x = 82

\sigma =  9.64

Step-by-step explanation:

Given

n = 12

87\ 91\ 86\ 82\ 72\ 91\ 60\ 77\ 80\ 79\ 83\ 96

Solving (a); Point estimate of mean

To do this, we simply calculate the sample mean

\bar x = \frac{\sum x}{n}

\bar x = \frac{87+ 91+ 86+ 82+72+91+60+77+80+79+83+96}{12}

\bar x = \frac{984}{12}

\bar x = 82

Solving (b); Point estimate of standard deviation

To do this, we simply calculate the sample standard deviation

\sigma = \sqrt{\frac{\sum(x-\bar x)^2}{n - 1}

\sigma = \sqrt\frac{(87-82)^2+ (91-82)^2+ ....+ (79-82)^2+ (83-82)^2+ (96-82)^2}{12-1}

\sigma = \sqrt\frac{1022}{11}

\sigma = \sqrt{92.91}

\sigma =  9.64

<em>Note that: The sample mean and the sample standard deviation are the best point estimators for the mean and the standard deviation, respectively.</em>

<em>Hence, the need to solve for sample mean and sample standard deviation</em>

3 0
3 years ago
Although five of John's answers were incorrect, 90% of his answers were correct. How many questions did John answer in all?
fiasKO [112]

Answer:

John answered 50 questions.

Step-by-step explanation:

Although five of John's answers were incorrect, 90% of his answers were correct.

This means that 5 is 100 - 90% = 10% of the total number of questions, n. So

0.1n = 5

n = \frac{5}{0.1}

n = 50

John answered 50 questions.

7 0
3 years ago
How do you round 1,995,298 to the nearest 10,000
xxTIMURxx [149]
2,000,000 is the answer

5 0
3 years ago
1. What is the solution of n² – 49 = 0? (1 point)
maks197457 [2]

Answer:

1. n=\pm7

2. x=\pm7i[tex]3.[tex]\pm 12x =a

4. 22

Step-by-step explanation:

1. n^2 - 49 = 0

n^2 =49

n= \sqrt{49}

n=\pm7

2. x^2+64 = 0

x^2 =-64

x= \sqrt{49}

x=\pm7i[tex]3. Area of square = [tex]a^{2}

Where a is the side

We are given an area o square = 144x^{2}

So, 144x^{2}=a^{2}

\sqrt{144x^{2}}=a

\pm 12x =a

4. We are given that the solution of quadratic equation -9 and 9

So, equation becomes:

(x+9)(x-9)=0

x^2- 81=0

So, in the given equation x^2 + z = 103

z should be the number from which if we subtract 103 so we get 81

Substitute z = 22

x^2 + 22 = 103

x^2 + 22 -103=0

x^2 -81=0

Thus the value of z is 22

8 0
3 years ago
Read 2 more answers
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