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icang [17]
3 years ago
7

The circumference of my circle is 45 inches. What is the diameter

Mathematics
2 answers:
romanna [79]3 years ago
8 0

Answer:

14.32 inches to nearest thousandth.

Step-by-step explanation:

Circumference = π * d        where d = the diameter.

So 45 = π * d

d = 45 / π

=  14.32 inches

mr_godi [17]3 years ago
4 0

Answer:

diameter ≈ 14.32 in ( 2 dec. places )

Step-by-step explanation:

the formula for calculating the circumference (C) of a circle is

C = πd ← d is the diameter

isolate d by dividing both sides by π

d = \frac{C}{\pi } = \frac{45}{\pi } ≈ 14.32


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Studentka2010 [4]

Answer:

$1.45-$0.25=x

x=$1.20

Step-by-step explanation:

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A rhombus with right angles
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Answer:

A rhombus is quadrilateral with all side of equal length. Thus a quadrilateral with all sides of equal length and all angles right angles is still a rhombus but it is also a square. It is also a quadrilateral, a rectangle and a parallelogram.

Step-by-step explanation:

I hope this helped! have a great day! :)

7 0
3 years ago
PLEASE HELP WITH MATH CONSTRUCTED RESPONSE!!
strojnjashka [21]

Answer:

  1. y = 0.937976x +12.765
  2. $12,765
  3. $31,524
  4. the cost increase each year

Step-by-step explanation:

1. For this sort of question a graphing calculator or spreadsheet are suitable tools. The attached shows the linear regression line to have the equation ...

... y = 0.937976x + 12.765

where x is years since 2000, and y is average tuition cost in thousands.

2. The y-intercept is the year-2000 tuition: $12,765.

3. Evaluating the formula for x=20 gives y ≈ 31.524, so the year-2020 tuition is expected to be $31,524.

4. The slope is the rate of change of tuition with respect to number of years. It is the average increase per year (in thousands). It amounts to about $938 per year.

5. [not a math question]

5 0
3 years ago
A sample of 12 radon detectors of a certain type was selected, and each was exposed to 100 pCI/L of radon. The resulting reading
valkas [14]

Answer:

Null hypothesis:\mu = 100  

Alternative hypothesis:\mu \neq 100  

t=\frac{98.375-100}{\frac{6.109}{\sqrt{12}}}=-0.921  

p_v =2*P(t_{11}  

Step-by-step explanation:

1) Data given and notation  

Data: 105.6, 90.9, 91.2, 96.9, 96.5, 91.3, 100.1, 105.0, 99.6, 107.7, 103.3, 92.4

We can calculate the sample mean and deviation for this data with the following formulas:

\bar X =\frac{\sum_{i=1}^n X_i}{n}

s=\sqrt{\frac{\sum_{i=1}^n (X_i- \bar X)^2}{n-1}}

The results obtained are:

\bar X=98.375 represent the sample mean  

s=0.6.109 represent the sample standard deviation  

n=12 sample size  

\mu_o =100 represent the value that we want to test  

\alpha represent the significance level for the hypothesis test.  

z would represent the statistic (variable of interest)  

p_v represent the p value for the test (variable of interest)  

2) State the null and alternative hypotheses.  

We need to conduct a hypothesis in order to check if the mean is equal to 100pCL/L, the system of hypothesis are :  

Null hypothesis:\mu = 100  

Alternative hypothesis:\mu \neq 100  

Since we don't know the population deviation, is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:  

t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}} (1)  

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".  

3) Calculate the statistic  

We can replace in formula (1) the info given like this:  

t=\frac{98.375-100}{\frac{6.109}{\sqrt{12}}}=-0.921  

4) P-value  

First we need to find the degrees of freedom for the statistic given by:

df=n-1=12-1=11

Since is a two sided test the p value would given by:  

p_v =2*P(t_{11}  

5) Conclusion  

If we compare the p value and the significance level assumed \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, so we can conclude that the true mean is not significant different from 100 at 5% of significance.  

3 0
3 years ago
Dionne can fold 175 packing boxes in 50 minutes. Elias can fold 120 packing boxes in 40 minutes. Who has the faster folding rate
lapo4ka [179]

Answer:

Dionne :)

Step-by-step explanation:

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