What is the place value of 2 in 1025

Which of the following is not a true statement about pi?

FinnZ [79.3K]

Answer:

Option D.The ratio of the radius of a circle to its circumference

Step-by-step explanation:

<em>Verify each statement</em>

A) The ratio of the circumference of a circle to its diameter

The statement is True

Because

$C=\pi D$

so

$\pi=C/D$

B) Approximated to be 3.14

The statement is True

Because $\pi=3.14159265...$

C) Approximated to be 22/7

The statement is True

Because

$\frac{22}{7}=3.1423$

D) The ratio of the radius of a circle to its circumference

The statement is not True

Because

$\frac{r}{2\pi r}=\frac{1}{2\pi}$

4 0

3 years ago

The equation y = 10x shows how the

lubasha [3.4K]

$80.00 hope this helps!

4 0

3 years ago

Round your answer to the nearest hundredth BC=?

miskamm [114]

Answer:

BC = 1.71

Step-by-step explanation:

well to start we have to know the relationship between angles, legs and the hypotenuse in a right triangle

α = 70°

a: adjacent = BC

h: hypotenuse = 5

sin α = o/h

cos α= a/h

tan α = o/a

we see that it has (angle, adjacent, hypotenuse)

we look at which meets those data between the sine, cosine and tangent

is the cosine

cos α = a/h

Now we replace the values and solve

cos 70 = a/5

0.34202 = a/5

0.34202 * 5 = a

1.7101 = a

round to the neares hundredth

a = 1.7101 = 1.71

BC = 1.71

7 0

3 years ago

Among all pairs of numbers with a sum of 238238, find the pair whose product is maximum. Write your answers as fractions reduced

mylen [45]

Answer:

$x=119119,\;\;\;y=119119$

Step-by-step explanation:

Let the $x$ be the first number, $y$ be the second number and $p$ be the product of the first and second number.

i.e $x+y=238238$ $\Rightarrow x=238238-y$

$p=xy$

$\Rightarrow p=(238238-y)y\\\Rightarrow p=238238y-y^2$

$\Rightarrow \frac{dp}{dy} =238238-2y\\\Rightarrow 0=238238-2y\\\Rightarrow 2y=238238\\\Rightarrow y=119119$

Now,

$x=238238-119119\\\\ \Rightarrow x=119119$

Hence, $x=119119,\;\;\;y=119119$

8 0

3 years ago

A Cell Phone company sells cellular phones and airtime in a State. At a recent meeting, the marketing manager states that the av

GarryVolchara [31]

Answer:

The null hypothesis is rejected.

There is enough evidence to support the claim that the average age of the customers differs from 40 years.

The sample does not support the manager claim (the average age seems to differ from 40 years).

Step-by-step explanation:

This is a hypothesis test for the population mean.

The manager claims that the average age of customers is 40 years. As this is an equality, we will test if the average age differs from 40. If the null hypothesis failed to be rejected, the claim of the manager is right.

Then, the claim is that the average age of the customers differs from 40 years.

Then, the null and alternative hypothesis are:

$H_0: \mu=40\\\\H_a:\mu\neq 40$

The significance level is 0.05.

The sample has a size n=50.

The sample mean is M=38.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=7.

The estimated standard error of the mean is computed using the formula:

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{7}{\sqrt{50}}=0.99$

Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{38-40}{0.99}=\dfrac{-2}{0.99}=-2.02$

The degrees of freedom for this sample size are:

$df=n-1=50-1=49$

This test is a two-tailed test, with 49 degrees of freedom and t=-2.02, so the P-value for this test is calculated as (using a t-table):

$P-value=2\cdot P(t$

As the P-value (0.049) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the average age of the customers differs from 40 years.

3 0

4 years ago