5b + 29 ≤ -25 is the translation of the phrase "the sum of a number times 5 and 29 is at most -25"
<h3>How to translate an English phrase into an algebraic equation?</h3>
Given the phrase in the question;
The sum of a number times 5 and 29 is at most -25.
First, we translate;
Let the unknown number represented by b.
- A number times 5 ⇒ b × 5 ⇒ 5b
- Sum ⇒ 5b + 29
- Inequality sign for at most -25 ⇒ less than or equal to ⇒ ≤ -25
Now we combine the terms;
5b + 29 ≤ -25
We can go and solve for the unknown number.
5b + 29 ≤ -25
Subtract 29 from both sides
5b + 29 - 29 ≤ -25 - 29
5b ≤ -25 - 29
5b ≤ -54
b ≤ -54/5
Therefore, the translation of the phrase is 5b + 29 ≤ -25.
Learn more about inequality here: brainly.com/question/20383699
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Ok, 6×25=150, since there are 6 sides, the answer is 150cm.
It’s 8^6, you’re correct :)
Answer:
The answer is "The null hypothesis was rejected".
Step-by-step explanation:
Following are the right-tailed test:
Calculating the null and alternative hypothesis:
![z = \frac{\hat{p} - P_0}{[\sqrt{\frac{P_0 \times (1 - P_0 )}{n}}]}](https://tex.z-dn.net/?f=z%20%3D%20%5Cfrac%7B%5Chat%7Bp%7D%20-%20P_0%7D%7B%5B%5Csqrt%7B%5Cfrac%7BP_0%20%5Ctimes%20%281%20-%20P_0%20%29%7D%7Bn%7D%7D%5D%7D)
![= \frac{0.4267 - 0.3333}{[\sqrt{\frac{(0.3333 \times 0.6667)}{150}}]}\\\\= 2.426](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B0.4267%20-%200.3333%7D%7B%5B%5Csqrt%7B%5Cfrac%7B%280.3333%20%5Ctimes%200.6667%29%7D%7B150%7D%7D%5D%7D%5C%5C%5C%5C%3D%202.426)
Calculating the right-tailed test:
Therefore, we reject the null hypothesis.
This example shows that more than a third of the families own pets in this town.
