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maw [93]
3 years ago
14

A toy designer is creating a basketball plushy. The designer has fabric that measures 171.9 sq. in. What is the maximum radius o

f the basketball that the designer can create? Use 3.14 for π. 13.7 in 6.9 in 3.7 in 3.4 in
Mathematics
2 answers:
Nadya [2.5K]3 years ago
4 0

Answer:

C. 3.7 in

Step-by-step explanation:

We know the surface area of the basketball, which is calculated as follows:

Surface area of a sphere = 4πr²

Replacing with a surface area of 171.9 square inches and solving for radius, we get:

171.9 = 4πr²

r^2 = \frac{171.9}{4 \cdot 3.14}

r = \sqrt{13.69}

r = 3.7 in

pickupchik [31]3 years ago
4 0

Answer:

C. 3.7

Step-by-step explanation:

I took the test and got it correct.

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Answer:

24.12-9.8=24.32

Step-by-step explanation:

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The tables given are for the linear functions f(x) and g(x) what is the input value for which f(x)= g(x) is true? X=
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It's asking us to find the input value x such that f(x) = g(x). So let's look at the columns f(x) and g(x). We can see that both f(x) and g(x) have the value of 3. The x-value at which f(x) = g(x) = 3 is x = –1.  

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3 years ago
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The rates of on-time flights for commercial jets are continuously tracked by the U.S. Department of Transportation. Recently, So
tatyana61 [14]

Answer:

The probability that at least 13 flights arrive late is 2.5196 \times 10^{-6}.

Step-by-step explanation:

We are given that Southwest Air had the best rate with 80 % of its flights arriving on time.

A test is conducted by randomly selecting 18 Southwest flights and observing whether they arrive on time.

The above situation can be represented through binomial distribution;

P(X = x) = \binom{n}{r}\times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,.........

where, n = number of trials (samples) taken = 18 Southwest flights

           r = number of success = at least 13 flights arrive late

          p = probability of success which in our question is probability that

                flights arrive late, i.e. p = 1 - 0.80 = 20%

Let X = <u><em>Number of flights that arrive late</em></u>.

So, X ~ Binom(n = 18, p = 0.20)

Now, the probability that at least 13 flights arrive late is given by = P(X \geq 13)

P(X \geq 13) = P(X = 13) + P(X = 14) + P(X = 15) + P(X = 16) + P(X = 17) + P(X = 18)

= \binom{18}{13}\times 0.20^{13} \times (1-0.20)^{18-13}+ \binom{18}{14}\times 0.20^{14} \times (1-0.20)^{18-14}+ \binom{18}{15}\times 0.20^{15} \times (1-0.20)^{18-15}+ \binom{18}{16}\times 0.20^{16} \times (1-0.20)^{18-16}+ \binom{18}{17}\times 0.20^{17} \times (1-0.20)^{18-17}+ \binom{18}{18}\times 0.20^{18} \times (1-0.20)^{18-18}

= \binom{18}{13}\times 0.20^{13} \times 0.80^{5}+ \binom{18}{14}\times 0.20^{14} \times 0.80^{4}+ \binom{18}{15}\times 0.20^{15} \times 0.80^{3}+ \binom{18}{16}\times 0.20^{16} \times 0.80^{2}+ \binom{18}{17}\times 0.20^{17} \times 0.80^{1}+ \binom{18}{18}\times 0.20^{18} \times 0.80^{0}

= 2.5196 \times 10^{-6}.

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3 years ago
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Answer:

The answer is the first one, the one that has 1 dot on #13  and has 3 dots on #3. Hope this helps. :)

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