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2 years ago

5 and 1/4 divided by negative 6 simplify

Mathematics

2 answers:

Zanzabum2 years ago

8 0

Answer:

-0.875

Step-by-step explanation:

5 1/4 = 5.25

5.25/ -6 = -0.875

Sindrei [870]2 years ago

7 0

Answer:

$\frac{7}{8}$

Step-by-step explanation:

concert the mixed number to an improper fraction

$\frac{21}{4} \div ( - 6)$

dividing a positive and negative equals a negative: (+)÷(-)= (-)

$- \frac{21}{4} \div 6$

reduce the number with the gretest common factor 3

$- \frac{7}{4 } \times \frac{1}{2}$

multiply the fraction

$- \frac{7}{8}$

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Is 3,4,5 a Pythagorean triple

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Yes because it fits the Pythagorean Theorem

Step-by-step explanation:

see: 5 ^2 = 25

and 3^2 + 4^2 = 9 + 16 = 25

25 = 25

so it is

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3 years ago

The diagram shows an 8 foot ladder leaning against a wall

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3 years ago

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According to a study conducted by the Gallup Organization, the the proportion of Americans who are afraid to fly is 0.10. A rand

notsponge [240]

Answer: 0.1457

Step-by-step explanation:

Let p be the population proportion.

Given: The proportion of Americans who are afraid to fly is 0.10.

i.e. p= 0.10

Sample size : n= 1100

Sample proportion of Americans who are afraid to fly = $\hat{p}=\dfrac{121}{1100}=0.11$

We assume that the population is normally distributed

Now, the probability that the sample proportion is more than 0.11:

$P(\hat{p}>0.11)=P(\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}>\dfrac{0.11-0.10}{\sqrt{\dfrac{0.10(0.90)}{1100}}})\\\\=P(z>\dfrac{0.01}{0.0090453})\ \ \ [\because z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}} ]\\\\=P(z>1.1055)\\\\=1-P(z\leq1.055)\\\\=1-0.8543=0.1457\ \ \ [\text{using z-table}]$

Hence, the probability that the sample proportion is more than 0.11 = 0.1457

3 0

3 years ago

What is the volume of a right circular cone if the circumference of the base is 125.6 ft and the height is 75 ft.? Use π=3.14 an

Alex_Xolod [135]

Answer:

The volume of a right circular cone is $31400\ \text{feet}^3$ .

Step-by-step explanation:

The circumference of the base of a right circular cone is 125.6 ft.

Height of cone is 75 ft.

Circumference of base is :

$C=2\pi r$ , r is radius

$r=\dfrac{C}{2\pi}\\\\r=\dfrac{125.6}{2\times 3.14}\\\\r=20\ ft$

The volume of a cone is given by :

$V=\dfrac{1}{3}\pi r^2 h\\\\V=\dfrac{1}{3}\times 3.14\times (20)^2\times 75\\\\V=31400\ \text{feet}^3$

So, the volume of a right circular cone is $31400\ \text{feet}^3$ .

5 0

2 years ago

At what point of the curve y = cosh(x does the tangent have slope 2?

Dahasolnce [82]

The hyperbolic cos (cosh) is given by
cosh (x) = (e^x + e^-x) / 2
The slope of a tangent line to a function at a point is given by the derivative of that function at that point.
d/dx [cosh(x)] = d/dx[(e^x + e^-x) / 2] = (e^x - e^-x) / 2 = sinh(x)
Given that the slope is 2, thus
sinh(x) = 2
x = sinh^-1 (2) = 1.444

Therefore, the curve of y = cosh(x) has a slope of 2 at point x = 1.44

5 0

2 years ago