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Basile [38]
1 year ago
5

Bobby read a total of 20 books over 2 months. If Bobby has read 90 books so far, how many months has he been with his book club?

Solve using unit rates
Mathematics
1 answer:
tatuchka [14]1 year ago
8 0

Step 1

From the question;

\begin{gathered} Bobby\text{ reads 20 books in 2 months} \\  \end{gathered}

We are required to find how many months it will take him to read 90 books

Step 2

We will use the ratio below to solve the problem.

\begin{gathered} \frac{20\text{ books}}{90\text{ books}}=\frac{2months}{x} \\ x=months\text{ to read 90books} \\ x=\frac{90\times2}{20} \\ x=9\text{ months} \end{gathered}

Answer; It will take Bobby 9months to read 90 booj

9\text{ months}

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Step-by-step explanation:

The interval must be chosen so that the function is one-to-one, and the sine and cosine functions are not one-to-one on the same intervals.

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1. A fish is 12 meters below the surface of the ocean. What is its elevation? meters 2. A sea bird is 28 meters above the surfac
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Answer:

- 12 meters

28 meters

40 meters

Step-by-step explanation:

Given that:

A fish is 12 meters below the surface of the ocean. What is its elevation?

Position of fish = 12 meters below the surface = - 12 ;

Sea level = 0

Elevation = sea level + position

Elevation = 0 + (- 12)

= - 12 meters

2. A sea bird is 28 meters above the surface of the ocean. What is its elevation?

Position of bird = 28 meters below the surface = (28) ;

Sea level = 0

Elevation = sea level + position

Elevation = 0 + 28

= 28 meters

3. If the bird is directly above the fish, how far apart are they?

If bird is directly above the fish;

Distance between bird and fish :

Elevation of bird - elevation of fish

28 - (-12)

28 + 12

= 40 Meters

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3 years ago
How do you find The area of a composite shape
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Step-by-step explanatiArea of Composite Shapes. Composite shapes are shapes that have a combination of 2-D shapes. To find the area of composite shapes you just need to break down the shape into individual pieces and calculate their separate pieces then add them back together again to find a total areaon:

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A random sample of 64 observations produced a mean value of 84 and standard deviation of 5.5. The 90% confidence interval for th
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Answer:  The 90% confidence interval for the population mean μ is between 82.85 and 85.15,

Step-by-step explanation:

When population standard deviation is not given ,The confidence interval population proportion is given by (\mu ):-

\overline{x}\pm t^*\dfrac{s}{\sqrt{n}}

, where n= Sample size.

s= Sample standard deviation

\overline{x} = sample mean

t* = Critical t-value (Two-tailed)

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\overline{x}=84

n= 64

Degree of freedom : df = n-1=63  

s= 5.5

Significance level : \alpha=1-0.90=0.1

Two-tailed T-value for df = 63 and  \alpha=1-0.90=0.1 would be

t_{\alpha/2,df}=t_{0.05,63}=1.669  (By t-distribution table)

i.e. t*= 1.669

The 90% confidence interval for the population mean μ would be

84\pm (1.669)\dfrac{5.5}{\sqrt{64}}

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∴ The 90% confidence interval for the population mean μ is between 82.85 and 85.15,

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3 years ago
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