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notka56 [123]
3 years ago
11

How many band uniforms can be made with 131 3/4 yards of fabric if each uniform requires 3 7/8 yards

Mathematics
1 answer:
ElenaW [278]3 years ago
7 0
The question can be read as how many 3 \frac{7}{8} can be made out of 131 \frac{3}{4}

131 \frac{3}{4}÷3 \frac{7}{8} ⇒ We need to change each mixed number into an improper fraction

131 \frac{3}{4}= \frac{[131*4]+3}{4}= \frac{527}{4}
3 \frac{7}{8}= \frac{[3*8]+7}{8}  = \frac{31}{8}

\frac{527}{4}÷\frac{31}{8}
\frac{527}{4}×\frac{8}{31}
\frac{527*8}{4*31}= \frac{4216}{248} =17

Answer: 17 uniform

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The hypotenuse of the right triangle ABC shown below is 17 feet long. The cosine of angle C is 35. How many feet long is the seg
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Diagram missing.

Question interpreted as:
ABC is a right triangle right angled at A.
BC=17 feet
angle C = 35 degrees.

AC=BCcos(35)=17*0.8192=13.93 feet to the nearest 1/100th of a foot.
7 0
3 years ago
Almost all medical schools in the United States require students to take the Medical College Admission Test (MCAT). To estimate
yKpoI14uk [10]

Answer:

a) 0.5588

b) 0.9984

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 24

Standard Deviation, σ = 6.4

We are given that the distribution of score is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}        

a) P(score between 20 and 30)

P(20 \leq x \leq 30) = P(\displaystyle\frac{20 - 24}{6.4} \leq z \leq \displaystyle\frac{30-24}{6.4}) = P(-0.62 \leq z \leq 0.94)\\\\= P(z \leq 0.94) - P(z < -0.62)\\= 0.8264 - 0.2676 = 0.5588 = 55.88\%

P(20 \leq x \leq 30) = 55.88\%

b) Sampling distribution

Sample size, n = 22

The sample will follow a normal distribution with mean 24 and standard deviation,

s = \dfrac{\sigma}{\sqrt{n}} = \dfrac{6.4}{\sqrt{22}} =1.36

c) P(mean score of sample is between 20 and 30)

P(20 \leq x \leq 30) = P(\displaystyle\frac{20 - 24}{1.36} \leq z \leq \displaystyle\frac{30-24}{1.36}) = P(-2.94 \leq z \leq 4.41)\\\\= P(z \leq 4.41) - P(z < -2.94)\\= 1 - 0.0016 = 0.9984 = 99.84\%

P(20 \leq x \leq 30) =99.84\%

5 0
3 years ago
The set of irrational numbers is the set of numbers whose decimal representations are neither (blank) nor (blank).
sergejj [24]

Answer:

neither terminating nor repeating.

Step-by-step explanation:

6 0
3 years ago
What triangle is called with 2 pairs of parallel sides and 4 right angles
vlada-n [284]

This is impossible for a triangle to have however, your description perfectly matches a square or a rectangle

8 0
3 years ago
Can you show the work for (4x-4)(x-4)
Paladinen [302]

Answer:

4x² - 20x + 16

Step-by-step explanation:

Given

(4x - 4)(x - 4)

Each term in the second factor is multiplied by each term in the first factor, that is

4x(x - 4) - 4(x - 4) ← distribute both parenthesis

= 4x² - 16x - 4x + 16 ← collect like terms

= 4x² - 20x + 16

6 0
3 years ago
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