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baherus [9]
3 years ago
5

Help lol! the explanation is on the bottom!!

Mathematics
2 answers:
TEA [102]3 years ago
4 0

Answer:

1, 3, 5, 7 = 80°

2, 4, 6, 8 = 100°

Step-by-step explanation:

1, 3, 5, and 7 are congruent to each other

2, 4, 6 and 8 are congruent to each other

1 + 2 + 3 + 4 = 360°

80° + x + 80° + x = 360°

160° + 2x = 360°

2x = 360° - 160°

2x/2 = 200°

x = 100°

Slav-nsk [51]3 years ago
3 0

Answer:

1 =80

2 =100

3 =80

4 =100

6 = 100

7 =80

8 =100

Step-by-step explanation: since 5 and 7 are the same, if u slide the bottom up to the top, 1 and 3 would be the same as 5 and 7

2,4,6,and 8 are 180-80 which equals 100

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The altitude of an airplane is decreasing at a rate 42 feet per second what is the change in altitude of the airplane over a per
Xelga [282]
The descent after 16 seconds would be 672 feet, with the function -42•X and X=16 so -42•16=-672
7 0
2 years ago
Solve for x. 0.2x – 1.8 5 = 4.2​
spin [16.1K]

Answer:

<h2>x = 114</h2>

Step-by-step explanation:

0.2x – 1.8/5 = 4.2​

0.2x - 1.8 = 4.2 (5)

x =<u> 21 + 1.8 </u>

        0.2

x = 22.8 / 0.2

x = 114

4 0
3 years ago
Find the geometric mean of the pair of numbers.
tatyana61 [14]
The formula for geometric mean is  nth root  of the product of all terms. n denotes the number of data. Since you have only two points, 99 and 11, n = 2. The product of both terms is 99 × 11 = 1089. The square root of 1089 is 33. Thus, the answer is 33.
6 0
3 years ago
Read 2 more answers
Students who have completed a speed reading course have reading speeds that are normally distributed with a mean of 950 words pe
VikaD [51]

Answer:

36.04% probability that at most two of them would read at less than 850 words per minute

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the binomial probability distribution.

Normal probability distribution

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

In which C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

And p is the probability of X happening.

Percentage of students who read less than 850 words per minute.

Pvalue of Z when X = 850. The mean is \mu = 950 and the standard deviation is \sigma = 200

Z = \frac{X - \mu}{\sigma}

Z = \frac{850 - 950}{200}

Z = -0.5

Z = -0.5 has a pvalue of 0.3085.

30.85 of students read less than 850 words per minute.

If 10 students are selected at random, what is the probability that at most two of them would read at less than 850 words per minute

This is P(X \leq 2) when n = 10, p = 0.3085. So

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2)

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{10,0}.(0.3085)^{0}.(0.6915)^{10} = 0.0250

P(X = 1) = C_{10,1}.(0.3085)^{1}.(0.6915)^{9} = 0.1115

P(X = 2) = C_{10,2}.(0.3085)^{2}.(0.6915)^{8} = 0.2239

P(X \leq 2) = P(X = 0) + P(X = 1) + P(X = 2) = 0.0250 + 0.1115 + 0.2239 = 0.3604

36.04% probability that at most two of them would read at less than 850 words per minute

8 0
2 years ago
10. A cab company charges a flat rate of $2 plus an additional $0.50 for every mile traveled.
zzz [600]
a.
f = total cab fare
m = distance travelled

f = 2 + 0.50m

b.
7.50 = 2 + 0.50m

c.
7.50 = 2 + 0.50m
7.50 - 2 = 0.50m
5.50 = 0.50m
5.50/0.50 = m
m = 11
 Sara travelled 11 miles.

d.
f = 2 + 0.50m
f = 2 + 0.50 x 10
f = 2 + 5
f = 7

When the cab fare is over $7.00 on the holidays, $1 is discounted off the fare.

e. 
Yes, Lupe traveled more than 10 miles. (refer to calculations used in c.)

5 0
3 years ago
Read 2 more answers
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