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7 days ago

The students in a club are selling flowerpots to raise money. Each flowerpot sells for $15.

Mathematics

1 answer:

babunello [11.3K]7 days ago

7 0

Response:

Part A: x·15=$ Part B: Yes

Detailed explanation:

Part A: The process involves counting the number of pots (x) and multiplying that by $15

Part B: 43x15=645, thus they surpass their target of 500 by 145 dollars

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Letters a, b, c, and d are angles measures. Which equation is enough information to prove that lines m and n are parallel lines

babunello [11358]

Response:

b + d = 180°, a = d, and a = c

Detailed explanation:

In the diagram, we observe that the only condition for the lines to be parallel is that the angles correspond with their counterparts, for instance, a must equal d. The equation a = c indicates that all angles must be equal for lines m and n to remain parallel. Finally, the equation b + d = 180° confirms that this holds true only if lines m and n are parallel.

6 0

1 month ago

From an industrial area 70 companies were selected at random and 45 of them were panning for expansion next year. Find 95% confi

Zina [12040]

Answer:

Confidence limit = [52.8%, 75.2%]

Step-by-step explanation:

$P=\frac{45}{70}= 0.64$

$(1-P)=1-0.64=0.36$

$n= 70$

$P$ ± $z$ $\sqrt{\frac{P(1-P)}{n} }$

where the value $z$ will be sourced from the z-table regarding a 95% confidence interval

1-0.95= 0.05/2= 0.025

0.95+0.025= 0.0975

From the z-table, the value of $z$ linked to 0.0975 is 1.96

$0.64$ ± $1.96$ $\sqrt{\frac{0.64*0.36}{70} }$

$0.64$ ± $1.96$ $(0.057)$

$0.64$ ± $0.112$

$64%$ % ± $11.2$ %

thus, the confidence interval is

$64+11.2=75.2$ %

$64-11.2=52.8$ %

$[52.8, 75.2]$

8 0

7 days ago

A game spinner has regions that are numbered 1 through 8. If the spinner is used twice, what is the probability that the first n

Zina [12040]

Let P(3) denote the probability of landing on 3 in a spin, and P(5) denote the probability of landing on 5. In probability terms, "AND" signifies multiplication while "OR" indicates addition. We aim to find the probability that the first number is "3" AND the second number is "5." Thus, we identify the individual probabilities and MULTIPLY them. The spinner has numbers ranging from 1 to 8, each appearing once. Therefore, since there is one instance of "3," we have P(3) = 1/8 and similarly P(5) = 1/8. Consequently, the overall probability of P(3 and 5) is 1/8 multiplied by 1/8, which equals 1/64.

4 0

8 days ago

What number comes next in the series? 31, 1031, 402, 16, ____

lawyer [12154]

Answer:

Someone has previously provided an answer to this question, and I must attribute it to writersparadise. All credit goes to him/her.

Step-by-step explanation:

There can be various responses to this query. Usually, the next number following 16 has digits that add up to 8.

Explanation:

First number 31 – The digits add up to 3 + 1 = 4

Second number 1031 – The sum of the digits is 1 + 0 + 3 + 1 = 5

Third number 402 – The digits sum to 4 + 0 + 2 = 6

Fourth number 16 – Adding the digits gives 1 + 6 = 7

Thus, the missing number could either be the single digit 8 or any of these two-digit options: 17, 26, 35, 44, 53, 62, 71, or 80. It may also include larger numbers consisting of the digits from the mentioned two-digit figures combined with 0, like 260 or 7001.

Read more.in - https://.in/question/3032926#readmore

4 0

1 month ago

The inside diameter of a randomly selected piston ring is a random variable with mean value 13 cm and standard deviation 0.08 cm

Zina [12040]

Answer:

(a) P(12.99 ≤ X ≤ 13.01) = 0.3840

(b) P(X ≥ 13.01) = 0.3075

Step-by-step explanation:

To address this problem, one needs to grasp the normal probability distribution and the central limit theorem.

Normal probability distribution

Problems involving normally distributed samples are resolved through the application of the z-score formula.

In a data set with a mean $\mu$ and standard deviation $\sigma$ , the z-score for a measurement X is defined as:

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

The Z-score indicates how many standard deviations the measurement deviates from the mean. After determining the Z-score, one can consult the z-score table to find the relevant p-value for that score. This p-value represents the probability that the measure's value is less than X, which indicates the percentile of X. By subtracting this p-value from 1, we obtain the likelihood that the measure's value exceeds X.

Central Limit Theorem

According to the Central Limit Theorem, for a normally distributed random variable X with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated by a normal distribution, characterized by mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .