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Paladinen [302]

2 years ago

9

Joan draws a bar chart to show the temperatures at midday on March 1st in five cities. Joan has made four mistakes in her diagra

m. Write down any three of them.

2 answers:

Aleksandr [31]2 years ago

8 0

Answer:

Step-by-step explanation:

Properties of a bar graph:

1). There should be equal space between the bars or the columns.

2). Width of each bar or columns should be same.

3). All bars should have same base.

4). Height of each bar will show the value of the data.

By these properties,

- Space between London-Paris, Rome-Oslo are not equal.

- Width of Munich bar is different from other bars.

Guest1 year ago

0 0

1. there should be equal space between the bars and the column
2. height of each bar or column should be the same by these properties, space between London-Paris, Rome-Oslo is not equal, the width of Munich bar is different from other bars.
3. the temperature in the y axis does not start with 0
4. there are no titles

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Find the thirty-second term of the following sequence.<br> 9, 15, 21, ...<br> 186<br> 199<br> 195

olga nikolaevna [1]

The question can be answered using the arithmetic sequence formula: an<span> = a</span>1<span> + (n – 1)d.
d = 6
a1 = 9
n = 32
an = ?

an = 9 + (32-1)6
an = 9 + 31x6
an = 195

so, the 35th term is 195</span>

5 0

2 years ago

Read 2 more answers

Three small circles C1, C2, and C3, each with radius 0.1 and centered at the origin are in the xy-, yz-, and xz-planes, respecti

den301095 [7]

Curl is defined as:

$\bigtriangledown \times F=\frac{ \int F.dr}{Area}$

Which can be rewritten as:

$\frac{ \int F.dr}{Area}=\frac{ \int_{C_1} Fdr}{Area}\widehat{k}+\frac{ \int_{C_2} Fdr}{Area}\widehat{i}+\frac{ \int_{C_3} Fdr}{Area}\widehat{j}$

This is because C1 lies on the xy plane and thus it's unit vector will be $\widehat{k}$ .

By similar arguments the rest will follow too.

Now, area of each circle will be: $\pi \times (0.1)^2=0.01 \pi$

Therefore, Curl, as per our definition will be:

$\frac{\int F.dr}{Area}=\frac{0.01\pi}{0.01\pi}\widehat{k}+\frac{0.4\pi}{0.01\pi}\widehat{i}+\frac{5 \pi}{0.01\pi}\widehat{j}$

Thus, Curl= $40\pi \widehat{i}+500\pi \widehat{j} +\widehat{k}$

Which is the required answer.

7 0

2 years ago

Visa Card USA studied how frequently young consumers, ages 18 to 24, use plastic (debit and credit) cards in making purchases (A

umka2103 [35]

Answer:

Given the consumer is 18 to 24 years old, there is 37% probability that he uses a plastic card.

Step-by-step explanation:

This can be formulated as the following problem:

What is the probability of B happening, knowing that A has happened.

It can be calculated by the following formula

$P = \frac{P(B).P(A/B)}{P(A)}$

Where P(B) is the probability of B happening, P(A/B) is the probability of A happening knowing that B happened and P(A) is the probability of A happening.

In this problem, we have:

What is the probability of the consumer using a plastic card, given that the consumer is 18 to 24 years old.

The problem states that the probability that a consumer uses a plastic card when making a purchase is .37, so $P(B) = 0.37$

P(A/B) is the probability that the consumer being 18 to 24 years old, given that he uses a plastic card. The problem states that this probability is .19. So $P(A/B) = 0.19$

P(A) is the probability that the consumer is 18 to 24 years old. There is a .81 probability that the consumer is more than 24 years old. So there is a .19 probability that he is 18 to 24 years old. So $P(A) = 0.19$

The probability is

$P = \frac{P(B).P(A/B)}{P(A)} = \frac{0.37*0.19}{0.19} = 0.37$

Given the consumer is 18 to 24 years old, there is 37% probability that he uses a plastic card.

4 0

2 years ago

A group of entomologists has determined that the population of ladybugs at a local park can be modeled by the equation y = − 1.4

Oksanka [162]

<h3>Answer:</h3>

A) 177.568 thousand.

B) 125.836 thousand.

<h3>Step-by-step explanation:</h3>

In this question, it is asking you to use the equation to find the population of ladybugs in a certain year.

Equation we're going to use:

$y = -1.437 x + 197.686$

We know that the "x" variable represents the number of years since 2010, so that means our starting year is 2010.

Lets solve the question.

Question A:

We need to find the ladybug population is 2024.

2024 is 14 years after 2010, so our "x" variable will be replaced with 14.

Your equation should look like this:

$y = -1.437 (14) + 197.686$

Now, we solve.

$y = -1.437 (14) + 197.686\\\\\text{Multiply -1.437 and 14}\\\\y=-20.118+197.686\\\\\text{Add}\\\\y=177.568$

You should get 177.568

This means that the population of ladybugs in 2024 is 177.568 thousand.

Question B:

We need to find the ladybug population is 2060.

2060 is 50 years after 2010, so the "x" variable would be replaced with 50.

Your equation should look like this:

$y = -1.437 (50) + 197.686$

Now, we solve.

$y = -1.437 (50) + 197.686\\\\\text{Multiply -1.437 and 50}\\\\y=-71.85+197.686\\\\\text{Add}\\\\y=125.836$

This means that the population of ladybugs in 2060 would be 125.836 thousand.

<h3>I hope this helped you out.</h3><h3>Good luck on your academics.</h3><h3>Have a fantastic day!</h3>

7 0

2 years ago

The unit cost, in dollars, to produce bins of cat food is $3 and the fixed cost is $6972. The price-demand function, in dollars

stellarik [79]

Answer:

Revenue , Cost and Profit Function

Step-by-step explanation:

Here we are given the Price/Demand Function as

P(x) = 253-2x

which means when the demand of Cat food is x units , the price will be fixed as 253-2x per unit.

Now let us revenue generated from this demand i.e. x units

Revenue = Demand * Price per unit

R(x) = x * (253-2x)

= $253x-2x^2$

Now let us Evaluate the Cost Function

Cost = Variable cost + Fixed Cost

Variable cost = cost per unit * number of units

= 3*x

= 3x

Fixed Cost = 6972 as given in the problem.

Hence

Cost Function C(x) = 3x+6972

Let us now find the Profit Function

Profit = Revenue - Cost

P(x) = R(x) - C(x)

= $253x-2x^2 - (3x + 6972)$

= $253x-3x-2x^2-6972\\= 250x-2x^2-6972\\=-2x^2+250x-6972\\$

Now we have to find the quantity at which we attain break even point.

We know that at break even point

Profit = 0

Hence P(x) = 0

$-2x^2+250x-6972=0\\$

now we have to solve the above equation for x

Dividing both sides by -2 we get

$x^2-125x+3486=0$

Now we have to find the factors of 3486 whose sum is 125. Which comes out to be 42 and 83

Hence we now solve the above quadratic equation using splitting the middle term method .

Hence

$x^2-42x-83x+3486=0\\x(x-42)-83(x-42)=0\\(x-42)(x-83)=0\\$

Either (x-42) = 0 or (x-83) = 0 therefore

if x-42= 0 ; x=42

if x-83=0 ; x=83

Smallest of which is 42. Hence the number of units at which it attains the break even point is 42.

5 0

2 years ago