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2 years ago

PLEASE HELP NOW 20pts........

Mathematics

2 answers:

OlgaM077 [116]2 years ago

6 0

x = 4y – 2

1.5x + 5y = 1152

julia-pushkina [17]2 years ago

6 0

Answer:

number of tickets of $5 sold = 418 and number of tickets of $1.5 sold = 105

Step-by-step explanation:

Let y be the number of $5 tickets sold and x be the number of $1.50 tickets sold.

Now from the statement " Number of $1.50 tickets sold was 2 less than the four times the number of $5 tickets sold".

Equation will be x = 4y - 2

4y - x = 2 ---------(1)

For second equation statement is " The pep club raised $1152 from the ticket sales".

Equation will be 5y + (1.50)x = 1152 -------(2)

Now we multiply equation (1) by 1.5 and add it to equation (2)

6y - 1.5x + (5y + 1.5x) = 3 + 1152

11y = 1155

y = 105

Now we put y = 105 in equation (1)

x = 4×105 - 2

x = 420 -2

x = 418

Therefore, number of tickets of $5 sold = 418 and number of tickets of $1.5 sold = 105

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2 years ago

Read 2 more answers

Assume that the distribution of residuals is approximately normal with mean 0cm and standard deviation 5.9cm . What percent of t

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Answer:

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Step-by-step explanation:

We are given that the distribution of residuals is approximately normal with mean 0 cm and standard deviation 5.9 cm.

Let X = distribution of residuals

So, X ~ N( $\mu=0,\sigma^{2} = 5.9^{2}$ )

The z score probability distribution is given by ;

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

where, $\mu$ = mean residual = 0 cm

$\sigma$ = standard deviation = 5.9 cm

The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) 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.

So, percent of the residuals that are greater than 8 cm is given by = P(X > 8 cm)

P(X > 8 cm) = P( $\frac{X-\mu}{\sigma}$ > $\frac{8-0}{5.9}$ ) = P(Z > 1.36) = 1 - P(Z $\leq$ 1.36)

= 1 - 0.9131 = 0.0869 or 8.7%

The above probability is calculated using z table by looking at value of x = 1.36 in the z table which have an area of 0.9131.

Therefore, 8.7% of the residuals are greater than 8 cm.

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2 years ago