All categories

3 years ago

a biologist counted 10,000 migrating monarch butterflies. how do you express 10,000 as a power of 10

Mathematics

2 answers:

Brums [2.3K]3 years ago

6 0

Answer:

10 $^4$

Step-by-step explanation:

We know that a biologist counted 10,000 migrating monarch butterflies and we are to write this number of butterflies as a power of 10.

Numbers such as 10, 100, 1000, 10000 can be expressed as a power of 10 denoted by $10^n$ where the power $n$ is the number of zeros in that number.

So we can write 10,000 as:

$10^4$

Sati [7]3 years ago

4 0

Answer:

10000 = $10^{4}$ .

Step-by-step explanation:

If a number is given in terms of 10, 100, 1000, 10000 then the number can be represented as $10^{n}$

where n is number of 0 present in the given number.

Therefore for a biologist who counted butterfly as 10,000 may be represented as $10^{n}$ where n = 4.

So 10000 = $10^{4}$

You might be interested in

In this exercise, we will establish a formula for the logarithm of a sum. Let ???????? = log(xx + yy), where xx, yy > 0.

Oduvanchick [21]

Answer:

Assumed that "?????????" means L. And you meant log(x+y)

Let's demonstrate it.

Step-by-step explanation:

$L=\log(x)+\log(1+\frac{y}{x} )\\Let\\\\10^{L}=10^{\log(x)+\log(1+\frac{y}{x} } ) \\\\10^{L}=10^{\log(x)}\times10^{\log(1+\frac{y}{x} })\\10^{L}=x(1+\frac{y}{x})=x+y\\Let\\\log(10^{L})=\log(x+y)\\\\L=\log(x+y)\\\\$

7 0

3 years ago

Suppose bob uses the rsa cryptosystem with a very large modulus n for which the factorization cannot be found in a reasonable am

Llana [10]

The answer is this method is not secure but a frequency attack can be applied. Knowing the public key in this case is, nonetheless, adequate for an attacker to calculate a table, on behalf of one-to-one communication between the plaintext and the cipher text. Computed table allows him/her to decrypt any ciphertext, encoded using RSA Cryptosystem in such a means.

3 0

3 years ago

In ΔGHI, g = 27 cm, i = 35 cm and ∠I=63°. Find all possible values of ∠G, to the nearest degree.

tester [92]

Answer:43

Step-by-step explanation:

7 0

3 years ago

A pharmaceutical company proposes a new drug treatment for alleviating symptoms of PMS (premenstrual syndrome). In the first sta

Akimi4 [234]

Answer:

95% confidence interval for p, the true proportion of all women who will find success with this new treatment is [0.238 , 0.762].

Step-by-step explanation:

We are given that a pharmaceutical company proposes a new drug treatment for alleviating symptoms of PMS (premenstrual syndrome).

In the first stages of a clinical trial, it was successful for 7 out of the 14 women.

Firstly, the pivotal quantity for 95% confidence interval for the true proportion is given by;

P.Q. = $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of women who find success with this new treatment = $\frac{7}{14}$ = 0.50

n = sample of women = 14

Here for constructing 95% confidence interval we have used One-sample z proportion statistics.

So, 95% confidence interval for the true proportion, p is ;

P(-1.96 < N(0,1) < 1.96) = 0.95 {As the critical value of z at 2.5%

level of significance are -1.96 & 1.96}

P(-1.96 < $\frac{\hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < 1.96) = 0.95

P( $-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < ${\hat p-p}$ < $1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.95

P( $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ < p < $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ) = 0.95

95% confidence interval for p = [ $\hat p-1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ , $\hat p+1.96 \times {\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ]

= [ $0.50-1.96 \times {\sqrt{\frac{0.50(1-0.50)}{14} } }$ , $0.50+1.96 \times {\sqrt{\frac{0.50(1-0.50)}{14} } }$ ]

= [0.238 , 0.762]

Therefore, 95% confidence interval for p, the true proportion of all women who will find success with this new treatment is [0.238 , 0.762].

4 0

4 years ago

6 =2 (y + 2) Solve Y

Andreas93 [3]

Answer:

y = 1

Step-by-step explanation:

6 = 2y + 4

6 - 4 = 2y

2 = 2y

y = 2/2

y = 1

4 0

3 years ago

Read 2 more answers

a biologist counted 10,000 migrating monarch butterflies. how do you express 10,000 as a power of 10​

a biologist counted 10,000 migrating monarch butterflies. how do you express 10,000 as a power of 10