Remark
The key step is just to subtract 5 from both sides. The pointed of the inequality still points away from the variable and towards the number. As long as that remains true, the correct answer can be found.
Solution
2.7 ≤ b + 5 Subtract 5 from both sides.
2.7 - 5 ≤ b
- 2.3 ≤ b Write with the variable on the left.
b ≥ - 2.3 <<<< answer
Answer:
Your answer is 120 degrees.
Step-by-step explanation:
Answer:
Step-by-step explanation:
911
<u>x65</u>
5x1=5
5x10=50
5x900=4500
60x1=60
60x10=600
60x900=54000
5+50+4500+60+600+54000=59,215
Answer:
![H_0: p = 0.5\\H_a: p \neq 0.5](https://tex.z-dn.net/?f=H_0%3A%20p%20%3D%200.5%5C%5CH_a%3A%20p%20%5Cneq%200.5)
a. We get 56 heads out of 100 tosses.
We will use one sample proportion test
x = 56
n = 100
![\widehat{p}=\frac{x}{n}](https://tex.z-dn.net/?f=%5Cwidehat%7Bp%7D%3D%5Cfrac%7Bx%7D%7Bn%7D)
![\widehat{p}=\frac{56}{100}](https://tex.z-dn.net/?f=%5Cwidehat%7Bp%7D%3D%5Cfrac%7B56%7D%7B100%7D)
![\widehat{p}=0.56](https://tex.z-dn.net/?f=%5Cwidehat%7Bp%7D%3D0.56)
Formula of test statistic =![\frac{\widehat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cwidehat%7Bp%7D-p%7D%7B%5Csqrt%7B%5Cfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D)
=![\frac{0.56-0.5}{\sqrt{\frac{0.5(1-0.5)}{100}}}](https://tex.z-dn.net/?f=%5Cfrac%7B0.56-0.5%7D%7B%5Csqrt%7B%5Cfrac%7B0.5%281-0.5%29%7D%7B100%7D%7D%7D)
=![1.2](https://tex.z-dn.net/?f=1.2)
refer the z table for p value
p value = 0.8849
a. We get 560 heads out of 1000 tosses.
We will use one sample proportion test
x = 560
n = 1000
![\widehat{p}=\frac{x}{n}](https://tex.z-dn.net/?f=%5Cwidehat%7Bp%7D%3D%5Cfrac%7Bx%7D%7Bn%7D)
![\widehat{p}=\frac{560}{1000}](https://tex.z-dn.net/?f=%5Cwidehat%7Bp%7D%3D%5Cfrac%7B560%7D%7B1000%7D)
![\widehat{p}=0.56](https://tex.z-dn.net/?f=%5Cwidehat%7Bp%7D%3D0.56)
Formula of test statistic =![\frac{\widehat{p}-p}{\sqrt{\frac{p(1-p)}{n}}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cwidehat%7Bp%7D-p%7D%7B%5Csqrt%7B%5Cfrac%7Bp%281-p%29%7D%7Bn%7D%7D%7D)
=![\frac{0.56-0.5}{\sqrt{\frac{0.5(1-0.5)}{1000}}}](https://tex.z-dn.net/?f=%5Cfrac%7B0.56-0.5%7D%7B%5Csqrt%7B%5Cfrac%7B0.5%281-0.5%29%7D%7B1000%7D%7D%7D)
=![3.794](https://tex.z-dn.net/?f=3.794)
refer the z table for p value
p value = .000148
p value of part B is less than Part A because part B have 10 times the number the tosses.
We are given with two current costs : $3,450 for tables and $3,950 for chairs .The total cost then is equal to $7,400. This is said to be 4% more than he spent last year. so last year's expenses should be <span> $7,400 / 1.04 equal to $7115.39. The cost last year is expected to be less</span>