Answer:
21
Step-by-step explanation:
![4x + 24 = 7x - 49 \\ then \: collect \: the \: same \: variable \\ 4x - 7x = - 49 - 24 \\ x = - 63 \div - 3 = 21](https://tex.z-dn.net/?f=4x%20%2B%2024%20%3D%207x%20-%2049%20%20%5C%5C%20then%20%5C%3A%20collect%20%5C%3A%20the%20%5C%3A%20same%20%5C%3A%20variable%20%5C%5C%204x%20-%207x%20%3D%20%20-%2049%20-%2024%20%5C%5C%20x%20%3D%20%20-%2063%20%5Cdiv%20%20-%203%20%3D%2021)
Answer:
3 1/2 hours
Step-by-step explanation:
time = distance/speed
440/110 = 4 hours
440/880 = 1/2 hours
4 minus 1/2 is 3 1/2
Answer:
0.03 is the probability that for the sample mean IQ score is greater than 103.
Step-by-step explanation:
We are given the following information in the question:
Mean, μ = 100
Standard Deviation, σ = 16
Sample size, n = 100
We are given that the distribution of IQ score is a bell shaped distribution that is a normal distribution.
Formula:
Standard error due to sampling =
![\dfrac{\sigma}{\sqrt{n}} = \dfrac{16}{\sqrt{100}} = 1.6](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Csigma%7D%7B%5Csqrt%7Bn%7D%7D%20%3D%20%5Cdfrac%7B16%7D%7B%5Csqrt%7B100%7D%7D%20%3D%201.6)
P( mean IQ score is greater than 103)
P(x > 103)
Calculation the value from standard normal z table, we have,
![P(x > 103) = 1 - 0.970 =0.03= 3\%](https://tex.z-dn.net/?f=P%28x%20%3E%20103%29%20%3D%201%20-%200.970%20%3D0.03%3D%203%5C%25)
0.03 is the probability that for the sample mean IQ score is greater than 103.
Answer:
4.485 × 〖10〗^10 x 1.3268 × 〖10〗^11 =
(4.485 x1.3268) ×( 〖10〗^11× 〖10〗^10)
5.950 x 〖10〗^21
Step-by-step explanation: