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3 years ago

Find the product of (5.2 · 10-6) and (8 · 103).

1 answer:

5 0

The first one is 46 because according to the order of operations in this problem you have to multiply first so you do 5.2 times 10 which is 52 . Next do 52 - 6 = 46. Next multiply 8 times 103 which is 824. Then you multiply the two (46 times 824) and you get 37904

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If you vertically compress the absolute value parent function, f(x) = |x|, by a factor of 3, what is the equation of the new fun

Anna007 [38]

That is correct. On APEX its C. g(x)= 1/3 |x|

3 0

3 years ago

The area of a circular place is 45 square inches.estimate the radius to the nearest integer

geniusboy [140]

A = π*r^2
r = √(A/π) = √(45/π) ≈ 3.78

The radius is approximately 4 inches.

7 0

4 years ago

Charlotte bought 16 songs for her MP3 player. Three-fourths of the songs are classical songs. How many of the songs are classica

spayn [35]

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3 years ago

Read 2 more answers

In a test of the effectiveness of garlic for lowering cholesterol, 8181 subjects were treated with raw garlic. Cholesterol leve

xz_007 [3.2K]

Answer:

With garlic treatment, the mean change in LDL cholesterol is not greater than 0.

Step-by-step explanation:

The dependent t-test (also known as the paired t-test or paired samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.

In this case a paired t-test is used to determine the effectiveness of garlic for lowering cholesterol.

A random sample of 81 subjects were treated with raw garlic. Cholesterol levels were measured before and after the treatment.

The hypothesis for the test can be defined as follows:

H₀: With garlic treatment, the mean change in LDL cholesterol is not greater than 0, i.e. d ≤ 0.

Hₐ: With garlic treatment, the mean change in LDL cholesterol is greater than 0, i.e. d > 0.

The information provided is:

$\bar d=0.40\\SD_{d}=16.2\\\alpha =0.01$

Compute the test statistic value as follows:

$t=\frac{\bar d}{SD_{d}/\sqrt{n}}\\\\=\frac{0.40}{16.2/\sqrt{81}}\\\\=0.22$

The test statistic value is 0.22.

Decision rule:

If the p-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.

Compute the p-value of the test as follows:

$p-value=P(t_{n-1}>0.22)\\=P(t_{80}>0.22)\\=0.4132$

*Use a t-table.

The p-value of the test is 0.4132.

p-value= 0.4132 > α = 0.01

The null hypothesis was failed to be rejected.

Thus, it can be concluded that with garlic treatment, the mean change in LDL cholesterol is not greater than 0.

3 0

3 years ago

Multiply and simplify. A) 36 1/12 B) 36 1/6 C) 41 1/12 or D) 41 1/6

Scorpion4ik [409]

1 Convert 12\frac{2}{3}12
3

2
to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a
c

b
=
c

ac+b

\frac{12\times 3+2}{3}\times 3\frac{1}{4}
3

12×3+2
×3
4

1

2 Simplify 12\times 312×3 to 3636
\frac{36+2}{3}\times 3\frac{1}{4}
3

36+2
×3
4

1

3 Simplify 36+236+2 to 3838
\frac{38}{3}\times 3\frac{1}{4}
3

38
×3
4

1

4 Convert 3\frac{1}{4}3
4

1
to improper fraction. Use this rule: a \frac{b}{c}=\frac{ac+b}{c}a
c

b
=
c

ac+b

\frac{38}{3}\times \frac{3\times 4+1}{4}
3

38
×
4

3×4+1

5 Simplify 3\times 43×4 to 1212
\frac{38}{3}\times \frac{12+1}{4}
3

38
×
4

12+1

6 Simplify 12+112+1 to 1313
\frac{38}{3}\times \frac{13}{4}
3

38
×
4

13

7 Use this rule: \frac{a}{b}\times \frac{c}{d}=\frac{ac}{bd}
b

a
×
d

c
=
bd

ac

\frac{38\times 13}{3\times 4}
3×4

38×13

8 Simplify 38\times 1338×13 to 494494
\frac{494}{3\times 4}
3×4

494

9 Simplify 3\times 43×4 to 1212
\frac{494}{12}
12

494

10 Simplify
\frac{247}{6}
6

247

11 Convert to mixed fraction
41\frac{1}{6}41
6

1

41 and 1/6

4 0

4 years ago