Answer: b) The probability that an item produced by this process is defective is likely to be close to 0.15, but not exactly equal to 0.15.
Step-by-step explanation:
Given that:
Number of samples = 100
Number of defective samples = 15
Proportion =number defective samples / total samples
P = 15 / 100 = 0.15
Hence, the probability that an item produces is defective is 0.15.
However, due to sampling Variations, the probability will be corrected for these variations. Hence, probability that an item produced by this process is defective is likely to be close to 0.15, but not exactly equal to 0.15.
Separating the balloons into five equal groups
<span>⊙⊙⊙ ___ ⊙⊙⊙ ___ ⊙⊙⊙ ___ ⊙⊙⊙ ___ ⊙⊙⊙ </span>
<span>each group (fifth) has three balloons ___ four-fifths is twelve</span>
Answer:
There isn't enough buckets for all of the dirt to be in a bucket.
Step-by-step explanation:
From the question,
She has 20 buckets and would like to put 2.56 pounds of dirt into each bucket.
Hence, the total number of dirt that can be in the 20 buckets is
20 × 2.56
= 51.20 pounds of dirt
Slyvia has 51.76 pounds of dirt.
51.76 - 51.20
= 0.56 pounds of dirt.
From the above calculation we can say that there isn't enough buckets for all of the dirt to be in a bucket
Answer:
a = ![\sqrt{7}](https://tex.z-dn.net/?f=%5Csqrt%7B7%7D)
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.:
<em>Suppose ABC is a right triangle with sides a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem and then find the values of the six trigonometric functions for angle B. when b=3 and c=4</em>.
My answer:
We will Pythagoras theorem, which states that the sum of squares of two legs of a right triangle is equal to the square of the hypotenuse of right triangle. Because the question says that ABC is a right triangle.
![a^2+b^2=c^2](https://tex.z-dn.net/?f=a%5E2%2Bb%5E2%3Dc%5E2)
Given that: b=3 and c=4
![a^2+3^2=4^2a^2+9=16a^2+9-9=16-9a^2=7](https://tex.z-dn.net/?f=a%5E2%2B3%5E2%3D4%5E2a%5E2%2B9%3D16a%5E2%2B9-9%3D16-9a%5E2%3D7)
so a =
We know that tangent relates opposite side of a right triangle with adjacent side.
![\text{tan}(B)=\frac{a}{b}\\\text{tan}(B)=\frac{\sqrt{7}}{3}](https://tex.z-dn.net/?f=%5Ctext%7Btan%7D%28B%29%3D%5Cfrac%7Ba%7D%7Bb%7D%5C%5C%5Ctext%7Btan%7D%28B%29%3D%5Cfrac%7B%5Csqrt%7B7%7D%7D%7B3%7D)
Please have a look at the attached photos.