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3 years ago

The diameter of a flour tortilla is 12 inches. What is the area to the nearest hundredth?

Mathematics

2 answers:

dimaraw [331]3 years ago

4 0

3.14*d

3.14*12= 37.68

Rounded to the nearest hundredth would be 37.7

777dan777 [17]3 years ago

3 0

Answer:

The area of flour tortilla is:

113.04 square inches.

Step-by-step explanation:

The flour tortilla is in the shape of a circle.

Hence we need to find the area of as circle whose diameter is 12 inches.

As we know that the diameter and radius are related as:

Diameter=2×Radius.

This implies,

12=2×Radius

⇒ Radius=6 inches.

The area of circle is given as:

Area=π×(Radius)²

=3.14×6²

=113.04 square inches.

Hence, the area of flour tortilla is:

113.04 square inches.

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A study was conducted to determine whether magnets were effective in treating pain. The values represent measurements of pain us

amm1812

Answer:

Given:

Sham: n= 20, x=0.44, s=1.24,

Magnet:n= 20, x =0.49, s= 0.95

For Sham:

Sample size, n = 20

Sample mean = 0.44

Standard deviation = 1.24

For Magnet:

Sample size = 20

Sample mean = 0.49

Standard deviation = 0.95

The null and alternative hypotheses:

H0: s1²=s2²

H1: s1² ≠ s2²

a) To find the test statistics, use the formula:

$\frac{s1^2}{s2^2}$

$\frac{1.24^2}{0.95^2} = \frac{1.5376}{0.9025} = 1.7037$

Test statistics = 1.7037

b) P-value:

Sham: degrees of freedom $= n - 1 = 20 - 1 = 19$

Magnet: degrees of freedom $= n - 1 = 20 - 1 = 19$

The critical values:

[Za/2, df1, df2)], [(1 - Za/2), df1, df2]

$f[0.05/2, 19, 19], f[(1 - 0.05/2), 19, 19]$

$f[0.025, 19, 19], f[0.975, 19, 19]$

$(2.526, 0.3958)$

The rejection region:

Reject H0, if F < 0.3958 or if F > 2.526

c) Conclusion:

Since the critical values of test statistic is between (0.3958 < 1.7037 < 2.526), we fail to reject null hypothesis H0.

There is insufficient evidence to to support the claim that those given a sham treatment have reductions that vary more than those treated with magnets

3 0

2 years ago

select the correct answer consider these functions f(x)=3x-7 g(x)=X +1/x-1 what is the value of f(g(3))

Alexeev081 [22]

Answer:

Me and my massive brain, among other massive things of mine, believe it to be -1

Step-by-step explanation:

6 0

2 years ago

What's the surface area ratio & the volume ratio??<br><br> please help me ASAP!!

Ulleksa [173]

Answer:

Step-by-step explanation:

Volumes of two spheres A and B = 648 cm³ and 1029 cm³

Things to remember:

1). Scale factor of two objects = $\frac{r_1}{r_2}$ [ $r_1$ and $r_2$ are the radii of two circles]

2). Area scale factor = $\frac{(r_1)^2}{(r_2)^2}$

3). Volume scale factor = $\frac{(r_1)^3}{(r_2)^3}$

Volume scale factor Or Volume ratio = $\frac{V_A}{V_B}$

$\frac{(r_1)^3}{(r_2)^3}= \frac{648}{1029}$

$\frac{r_1}{r_2}=\sqrt[3]{\frac{648}{1029} }$

$\frac{r_1}{r_2}=\frac{6(\sqrt[3]{3})}{7(\sqrt[3]{3})}$

$\frac{r_1}{r_2}=\frac{6}{7}$

Therefore, scale factor = $\frac{r_1}{r_2}=\frac{6}{7}$

≈ 6 : 7

Area scale factor Or area ratio = $(\frac{r_1}{r_2})^2=(\frac{6}{7})^2$

= $\frac{36}{49}$

≈ 36 : 49

Volume scale factor or Volume ratio = $\frac{648}{1029}$

= $\frac{216}{343}$

≈ 216 : 343

4 0

3 years ago

Thanks in advance for any help provided to this question!

dangina [55]

Answer:

A little over 31hours

Step-by-step explanation:

Use simple proportion

58miles = 1hr

1805miles = ?

(1805x1)/58 = 31.12hrs

Since the question asks you for an estimation, it should be fine to say a little over 31hours but do show full working and the accurate answer

4 0

3 years ago

The length of a rectangular book is 2 times its width. The perimeter of the book is 42 inches. Write a system of

wel

Answer:

Mark me as brainlist

Step-by-step explanation:

P = Perimeter

L = Length

W = Width

Perimeter of rectangle = L + L + W + W

or P = 2L + 2W

You know:

P = 36 inches

L = 2W [length is(=) 2 times it's width]

W = ?

P = 2L + 2W

Substitute/plug in what you know, plug in 2W for L since L = 2W

36 = 2(2W) + 2W Simplify

36 = 4W + 2W

36 = 6W Divide 6 on both sides

6 = W Now that you know the width, you can find the length:

L = 2W

L = 2(6)

L = 12

L = 12 in

W = 6 in

PROOF

P = 2(12) + 2(6)

P = 24 + 12

P = 36

7 0

2 years ago