Answer: $189 000
brainliest or a thank you please :))
goodluck!
Answer:
The value of the test statistic is 4.70.
Step-by-step explanation:
The hypothesis for this test can be defined as follows:
<em>H</em>₀: Men do not spend more than women on St. Patrick's day, i.e. μ₁ = μ₂.
<em>H</em>ₐ: Men spend more than women on St. Patrick's day, i.e. μ₁ > μ₂.
The population standard deviations are not known.
So a <em>t</em>-distribution will be used to perform the test.
The test statistic for the test of difference between mean is:
![t=\frac{\bar x_{1}-\bar x_{2}}{\sqrt{\frac{s^{2}_{1}}{n_{1}}+\frac{s^{2}_{2}}{n_{2}}} }](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B%5Cbar%20x_%7B1%7D-%5Cbar%20x_%7B2%7D%7D%7B%5Csqrt%7B%5Cfrac%7Bs%5E%7B2%7D_%7B1%7D%7D%7Bn_%7B1%7D%7D%2B%5Cfrac%7Bs%5E%7B2%7D_%7B2%7D%7D%7Bn_%7B2%7D%7D%7D%20%7D)
Given:
![\bar x_{1}=55\\s_{1}=18\\n_{1}=90\\\bar x_{1}=44\\s_{1}=16\\n_{1}=86](https://tex.z-dn.net/?f=%5Cbar%20x_%7B1%7D%3D55%5C%5Cs_%7B1%7D%3D18%5C%5Cn_%7B1%7D%3D90%5C%5C%5Cbar%20x_%7B1%7D%3D44%5C%5Cs_%7B1%7D%3D16%5C%5Cn_%7B1%7D%3D86)
Compute the value of the test statistic as follows:
![t=\frac{\bar x_{1}-\bar x_{2}}{\sqrt{\frac{s^{2}_{1}}{n_{1}}+\frac{s^{2}_{2}}{n_{2}}} }=\frac{55-44}{\sqrt{\frac{15^{2}}{90}+\frac{16^{2}}{86} }}=4.70](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B%5Cbar%20x_%7B1%7D-%5Cbar%20x_%7B2%7D%7D%7B%5Csqrt%7B%5Cfrac%7Bs%5E%7B2%7D_%7B1%7D%7D%7Bn_%7B1%7D%7D%2B%5Cfrac%7Bs%5E%7B2%7D_%7B2%7D%7D%7Bn_%7B2%7D%7D%7D%20%7D%3D%5Cfrac%7B55-44%7D%7B%5Csqrt%7B%5Cfrac%7B15%5E%7B2%7D%7D%7B90%7D%2B%5Cfrac%7B16%5E%7B2%7D%7D%7B86%7D%20%7D%7D%3D4.70)
Thus, the value of the test statistic is 4.70.
The answer for this problem would be 7x+6
Let's solve this problem step-by-step.
4x−3+3x+9
=4x+−3+3x+9
Step 1: Combine Like Terms.
=4x+−3+3x+9
=(4x+3x)+(−3+9)
So, the answer for this problem would be 7x+6.
The factor theorem says that for a function f(x), if f(a) = 0, then (x - a) is a factor of f(x).
For f(x) = 2x^4 + 22x^3 + 60x^2
f(-5) = 2(-5)^4 + 22(-5)^3 + 60(-5)^2 = 2(625) + 22(-125) + 60(25) = 1250 - 2750 + 1500 = 0
Therefore, x - (-5) = x + 5 is a factor of f(x).
Hello!
OK, so we need to find out 20 km = ? dam
What we know:
1 km = 100 dam
Now, lets multiply to get our answer:
20 × 100 = 2,000
This tells us that 20 km = 2,000 dam
Check:
2,000 ÷ 20 = 10
This tells us that we are CORRECT!
Answer: 20 km = 2,000 dam
Hope this helps! Good luck! (: