All categories

3 years ago

Please who could help me

Mathematics

1 answer:

Dmitrij [34]3 years ago

6 0

41) Circumference of a circle is 2*pi*radius, or pi*diameter.
Diameter given is 0.5cm, so circumference is 0.5pi, approximately 1.57cm.

It says scale is 1 cm to 2.5ft. Use dimensional analysis. You can multiply by 2.5ft / 1 cm because it equals 1, and multiplying by 1 doesn't change the value (just the units here).

1.57cm * 2.5ft
-------- = 3.925ft
1 cm
C) 4 feet

42) 6% of $900 is 0.06*$900, which is $54.

$900 is including tax, so subtract the tax ($54) to get the price before tax.
$900 - $54 = $846
A) $846

You might be interested in

Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.

Harrizon [31]

Answer:

Equation of the line that passes through the given point and is (a) parallel is: $\mathbf{y=-2x+11}$

Equation of the line that passes through the given point and is (b) perpendicular is: $\mathbf{y=\frac{1}{2}x+1}$

Step-by-step explanation:

We need to Write an equation of the line that passes through the given point and is (a) parallel and (b) perpendicular to the given line.

First we will find slope of the line given in graph

The slope can be found using formula: $Slope=\frac{y_2-y_1}{x_2-x_1}$

We have points (1,6) and (2,2)

Slope is:

$Slope=\frac{y_2-y_1}{x_2-x_1}\\Slope=\frac{2-6}{2-1}\\Slope=\frac{-4}{2}\\Slope=-2$

Part a)

Write an equation of the line that passes through the given point and is (a) parallel

When the lines are parallel, they have same slope. So, slope of required line: m = -2

Using slope m =-2 and point(4,3) we can find y-intercept b

$y=mx+b\\3=-2(4)+b\\3=-8+b\\b=3+8\\b=11$

The equation of line will be:

$y=mx+b\\y=-2x+11$

Equation of the line that passes through the given point and is (a) parallel is: $\mathbf{y=-2x+11}$

Part b)

Write an equation of the line that passes through the given point and is (b) perpendicular

When the lines are perpendicular they have opposite slope. So, slope of required line: m = 1/2

Using slope m =1/2 and point(4,3) we can find y-intercept b

$y=mx+b\\3=\frac{1}{2}(4)+b\\3=2+b\\b=3-2\\b=1$

The equation of line will be:

$y=mx+b\\y=\frac{1}{2}x+1$

Equation of the line that passes through the given point and is (b) perpendicular is: $\mathbf{y=\frac{1}{2}x+1}$

6 0

3 years ago

The incubation period for the eggs of a House Wren has a normal probability distribution with a mean time of 336 hours and a sta

geniusboy [140]

Answer:

2.28%

Step-by-step explanation:

If X is the random variable that measures the time of incubation needed before hatching, we want

P(X>343)

This is the area under the normal curve whose mean is 336 hours and its standard deviation 3.5 hours to the right of the point 343. (See picture attached)

This can be done easily with the help of a computer and we find

P(X>343) = 0.0228 or 2.28%