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german
3 years ago
14

Can anyone help me on this i am very struggling and having a hard time on this

Mathematics
1 answer:
maks197457 [2]3 years ago
4 0

Answer:

y= 143°

x= 37°

Step-by-step explanation:

y is 143° cause they are the same thing just on the other side.

x us 37°cause 180-143 is 37.

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f a random sample of 300 adults is taken from the state of Colorado, where the rate of obesity is 19.8%, can we use the Normal a
Troyanec [42]

Answer:

Probability of at least 50 obese individuals in our sample is 0.92364 .

Step-by-step explanation:

We are given that a random sample of 300 adults is taken from the state of Colorado, where the rate of obesity is 19.8% .

Let X = Number of obese individuals

Firstly, X ~ Binom(n=300,p=0.198)

For approximating binomial distribution into normal distribution, firstly we have to calculate \mu and \sigma^{2} .

Mean of Normal distribution, \mu = n * p = 300 * 0.198 = 59.4

Variance of Normal distribution,\sigma^{2} = n * p * (1-p) = 300 *0.198 *0.802 = 47.64

So, now X ~ N(\mu = 59.4 , \sigma^{2} = 47.64)

The standard normal z score distribution is given by;

                     Z = \frac{X-\mu}{\sigma} ~ N(0,1)

So, probability of at least 50 obese individuals in our sample = P(X >= 50)

  P(X >= 50) = P(X > 49.5)  {using continuity correction}

  P(X > 49.5) = P( \frac{X-\mu}{\sigma} > \frac{49.5 - 59.4}{6.9} ) = P(Z > -1.43) = P(Z < 1.43) = 0.92364

Therefore, required probability is 0.92364 .

8 0
3 years ago
Write the mixed number as a percent <br><br> 2 41/50
ehidna [41]

Answer:

∴ 2 \frac{41}{50}  = 282 %

Step-by-step explanation:

2 \frac{41}{50}

= [( 2 × 50) + 41] ÷ 50

=  ( 100 + 41) ÷ 50

= \frac{141}{50}

=( \frac{141 }{50} ) × \frac{2}{2}

= \frac{282}{100}

= 282 %

∴ 2 \frac{41}{50}  = 282 %

7 0
3 years ago
Read 2 more answers
Dr. Caras was characterizing a cytochrome (an iron containing protein) from a new strain of bacteria. He obtained the following
olya-2409 [2.1K]

Answer:

0.5613

Step-by-step explanation:

Here mean strain of bacteria x = sum of all numbers/ total numbers = 0.5514 %

Standard deviation s = 0.0040 %

Test statistic

G = (x_{max} -x)/s = (0.5613 - 0.5514)/ 0.0040 = 2.475

95% confidence value for outlier for n = 8 and alpha = 0.05

G_{critical} = 2.1266

so here we see that G > G_critical , so we reject that the there is no outlier . the value of 0.5613 is and outlier.

7 0
3 years ago
The team scored 71 points in the last game. Alice, Bianca,Camila,and Dasha each scored 14 points. The remaining 3 girls on the t
poizon [28]

Answer:

5 points

Step-by-step explanation:

Alice, Bianca, Camila, and Dasha each scored 14 points.  14 x 4 = 56

56 + 15 = 71

3 x 5 = 15

The three remaining girls scored 5 points each.

4 0
3 years ago
Solve for x. 2x + 5 = 3x -1
viktelen [127]

Answer:

x = 6

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

5 0
3 years ago
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