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Anton [14]
3 years ago
12

If 2<x<4 and 3<y<7 the largest integer value of x+y is​

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
3 0

Step-by-step explanation:

2 < x < 4 and 3 < y < 7

We have (2 + 3) < (x + y) < (4 + 7),

Therefore 5 < x + y < 11.

The largest integer value for

x + y is 10.

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The ratio of the length to the width of a 5:4. The length of the cereal box is 60 centimeters. How wide is the box
lana [24]

Answer:

48

Step-by-step explanation:

60 = 5x

x = 12

12x4 = 48

5 0
3 years ago
Identify an outlier in the data set below, if one exists.
irinina [24]
The outlier is 9.1 :)
4 0
3 years ago
The space shuttle travels at 28,000 km per hour. Using that information, estimate how many hours it will take the shuttle to rea
spayn [35]

Subtract the distance of the Earth from the sun from the distance of Saturn from the sun to find the distance from Earth to Saturn:

1,424,000,000 - 149,600,000 = 1,274,400,000 km ( Saturn from Earth)

Divide the distance by the speed to find the time:

1,274,400,000 km / 28,000 km per hour = 45,514.2857 hours.

Round to 45,514 hours.

3 0
3 years ago
13. Write an equation for the given function given the amplitude, period, phase shift, and vertical shift.
Paul [167]

Answer:

y=4sin(\frac{2\pi(t+\frac{4}{3}\pi ) }{4\pi } )-2

Step-by-step explanation:

Let's start with the original function.

y=a sin\frac{2\pi t}{T}

We can immediately fill in the amplitude 'a' and period 'T' , as the question defines these for us, and provides values for 'a' and 'T', 4 and 4\pi respectively.

y=4sin(\frac{2\pi t}{4\pi } )

Now we only have phase shift and vertical shift to do. Vertical shift is very easy, you can just add it to the end of the right side of the expression. A positive value will shift the graph up, while a negative value will move shift the graph down. We have '-2' as our value for vertical shift, so we can add that on as so:

y=4sin(\frac{2\pit }{4\pi } )-2

Now phase shift the most complicated of the transformations. Basically, it is just movement left or right. A negative phase shift moves the graph right, a positive phase shift moves the graph left (I know, confusing!). Phase shift applies directly to the x variable, or in this case the t variable. To achieve a -4/3 pi phase shift, we need to input +4/3 pi into the function, because of the aforementioned negative positive rule. Here is what the function looks like with the correct phase shift:

y=4sin(\frac{2\pi(t+\frac{4}{3}\pi ) }{4\pi } )-2

This function has vertical shift -2, phase shift -4/3 \pi, amplitude 4, and period 4\pi.

Desmos.com/calculator is a great tool for learning about how various parts of an equation affect the graph of the function, If you want you can input each step of this problem into desmos and watch the graph change to match the criteria.

8 0
3 years ago
For a random sample of 50 measurements on the breaking strength of cotton threads, the mean breaking strength was found to be 21
Vikentia [17]

Answer:

205.81 to 214.19

Step-by-step explanation:

Sample size (n) = 50

Sample mean weight (X) = 210 grams

Sample standard deviation (s) = 18 grams

Confidence coefficient (Z) at 90% = 1.645

The confidence interval for the true mean breaking strength of cotton threads of this type, at a 90% confidence level, is given by:

CI=X \pm Z*\frac{s}{\sqrt n}\\CI=210 \pm 1.645*\frac{18}{\sqrt 50}\\CI = 210 \pm 4.19\\CI =205.81\ to\ 214.19

The confidence interval is 205.81 grams to 214.19 grams.

6 0
3 years ago
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