3 sisters bought 2 x 3 = 6 dress and and 1 x 3 = 3 purses.
3 sisters bought 6 dresses and and 3 purses.

Find 3 purses:
1 purse = $26
3 purses = $26 x 3 = $78

Find 6 dresses:
Total = $205.50
6 dresses = $205.5 - $78
6 dresses = $127.50

Find 1 dress:
6 dresses = $127.50
6 dresses = $127.50 ÷ 6
1 dress = $21.25

Answer: $21.25

6 0

3 years ago

A company produces and sells homemade candles and accessories. Their customers commonly order a large candle and a matching cand

Butoxors [25]

Answer:

P(T<683) = 0.1587 = 15.87% ≈ 16%.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

Sum of normal variables:

When two normal variables are added, the mean is the sum of the means, while the standard deviation is the square root of the sum of the variances.

The weights of these candles have a mean of 500g and a standard deviation of 15g. The weights of the candle stands have a mean of 200g and a standard deviation of 8g.

The package consists of one candle of each type. So

$\mu = 500 + 200 = 700$

$\sigma = \sqrt{15^2 + 8^2} = 17$

Find the probability that the total weight is under 683g.

This is the pvalue of Z when X = 683.

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

$Z = \frac{683 - 700}{17}$

$Z = -1$

$Z = -1$ has a pvalue of 0.1587

P(T<683) = 0.1587 = 15.87% ≈ 16%.

6 0

3 years ago

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The base of an open rectangular box is of length (2x+5) cm and width x cm. The area of this base is 58cm^2. The height of the op

andreev551 [17]

B) $x =4.28$

C) volume = $135.25cm^3$ .

Step-by-step explanation:

Here we have , The base of an open rectangular box is of length (2x+5) cm and width x cm. The area of this base is 58cm^2. The height of the open box is (x-2) cm. We need to find the following :

a) show that 2x^2+5x-58=0

We know that area of rectangle = $length(width)$