Answer: 5,720
Step-by-step explanation: The number shown here 5.72 × 10³ is written in scientific notation since it's composed of a decimal between 1 and 10 in this case 5.72 and a power of 10 in this case 10³. To write 5.72 × 10³ in standard notation, we first begin with 5.72.
Next, we look at the exponent which in this case is positive 3. The exponent tells us to move the decimal point three places to the right.
Finally, we fill in the missing positions with zeros.
Therefore, 5.72 × 10³ written in standard notation is 5,720.
To find out the number of necklaces that can be made from 72 and 42 beads, think of the Greatest Common Factor of both numbers
Factors of 72
1 × 72
2 × 36
3 × 24
4 × 18
6 × 12
8 × 9
Factors of 42
1 × 42
2 × 21
3 × 14
6 × 7
The Greatest Common Factor is 6, so there are 6 necklaces can be made with equal number of beads
Answer:
H0: μ = 7.8
Ha: μ > 7.8
Step-by-step explanation:
The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.
For the case above;
Let μ represent the true mean length of long-distance calls after the rate reduction
The null hypothesis is that true mean length of long-distance calls after the rate reduction is the same and equal to 7.8 minutes
H0: μ = 7.8
The alternative hypothesis is that the true mean length of long-distance calls after the rate reduction have increased that is greater than 7.8 minutes
Ha: μ > 7.8
<span>We can use the proportion. We already know that Dixon is 6 ft tall and that his shadow is 9 ft long. Also we know that the shadow of his sister is 6 ft long. 6 : x = 9 : 6, or 6 / x = 9 / 6. After that we will cross multiply : 9 * x = 6 * 6, 9 x = 36 , x = 36 : 9, x = 4. Answer: Ariadne is 4 feet tall.Hope I helped! :) Cheers!</span>
The answer to this is y=-1/2*-3+2
