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2 years ago

The graph shows the midday temperature in Cambridge over the summer.

Mathematics

1 answer:

Mariulka [41]2 years ago

7 0

Answer:

a) 6°C

b) upward

Step-by-step explanation:

a) The range of temperatures is the difference between the maximum and the minimum temperatures. From the graph we can see that:

maximum temperature: 18 °C

minimum temperature: 12 °C

Then:

range of temperatures: 18-12 = 6°C

b) The trend is upward because, given any temperature, the next one is higher.

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The heights of 200 adults were recorded and divided into two categories. Which two-way frequency table correctly shows the margi

Temka [501]

Answer: c

Step-by-step explanation:

7 0

2 years ago

Given right triangle XYZ, what is the value of tan(60°)?

Svetlanka [38]

we know that

Step $1$

in the right triangle XYZ

Applying the Pythagorean Theorem

Find the value of ZY

$XY^{2}=XZ^{2} +ZY^{2} \\ ZY^{2}=XY^{2}-XZ^{2}\\ ZY^{2}=42^{2}-21^{2}\\ ZY^{2}=1,323\\ ZY=\sqrt{1,323}\ units$

$ZY=21\sqrt{3}\ units$

Step $2$

in the right triangle XYZ

Find tan $60$ °

we know that

$tan\ 60=\frac{opposite\ side\ angle\ 60}{adjacent\ side\ angle\ 60}$

in this problem

opposite side angle $60$ is ZY

adjacent side angle $60$ is XZ

$tan\ 60=\frac{ZY}{XZ} \\ \\ tan\ 60=\frac{21\sqrt{3}}{21} \\ \\ tan\ 60=\sqrt{3}$

therefore

the answer is

$\sqrt{3}$

3 0

2 years ago

Read 2 more answers

Mateus’s bank issued an advertisement saying that 90\%90%90, percent of its customers are satisfied with the bank’s services. Si

densk [106]

Answer:

The probability of getting a sample with 80% satisfied customers or less is 0.0125.

Step-by-step explanation:

We are given that the results of 1000 simulations, each simulating a sample of 80 customers, assuming there are 90 percent satisfied customers.

Let $\hat p$ = sample proportion of satisfied customers

The z-score probability distribution for the sample proportion is given by;

Z = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, p = population proportion of satisfied customers = 90%

n = sample of customers = 80

Now, the probability of getting a sample with 80% satisfied customers or less is given by = P( $\hat p \leq$ 80%)

P( $\hat p \leq$ 80%) = P( $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ $\leq$ $\frac{0.80-0.90}{\sqrt{\frac{0.80(1-0.80)}{80} } }$ ) = P(Z $\leq$ -2.24) = 1 - P(Z < 2.24)

= 1 - 0.9875 = 0.0125

The above probability is calculated by looking at the value of x = 2.24 in the z table which has an area of 0.9875.

8 0

2 years ago

Michelle exercises for half an hour every day. How minutes in total does she exercise for over 5 days?

enyata [817]

First, Michelle exercises for thirty minutes every day.

If Michelle exercises for 30 minutes for 5 days, this would 30 × 5.

30 × 5 = 150 minutes

3 0

2 years ago

Read 2 more answers

Belinda is thinking about buying a car for $38,000. The table below shows the projected value of two different cars for three ye

juin [17]

Answer:

Kindly check explanation

Step-by-step explanation:

Car A follows a linear pattern, as a straight well fitted line was obtained from the regression model, with a fixed amount as Depreciation per year.

CarB follows an exponential trve das obtained on the regression plot.

Using technology :

Where, f(x) = price of car

The linear function for car 1 :

f(x) = - 6000x + 38000

THE exponential function :

f(x) = 38000(0.85)^x

In 5 years :

Car 1:

f(5) = - 6000(5) + 38000 = 8000

Car 2 :

f(x) = 38000(0.85)^5 = 16,860.801

Hence, car 2 has the the greatest value after 5 years

3 0

2 years ago