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3 years ago

sean earns 4.50 per hour more than the trainee during one 8 hour day they earn a total of $284 how much does Sean make per hour

1 answer:

3 0

1) Let Sean=x and Tyrone=y. But we want to get what Sean earns and what Tyrone earns in terms of one variable so we say that Tyrone=x-4.5 (beacuse he makes $4.50 per hour less than Sean). 2) Now set up the equation: 8 hours time x plus 8 hours times x-4.5 equals 284 OR
8x+8(x-4.5)=284 3) Solve for x 8x+8(x-4.5)=284 8x+8x-36=284 16x=320 x=20 So Sean makes $20 per hour and Tyrone makes $15.50 per hour

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What are the zeros of the function? f(x)=x2+17x+72

Semmy [17]

In order to find zeroes of a function, we will probably want to use our quadratic formula.

-b±√b^2-4(a)(c)/2a

If we know our values, we can plug it in.

Our values:

A=1 (Since there is no number in front of x, it is an assumed 1)
B=17
C=72

Now, We can plug it into our formula.

BE SURE TO PUT PARENTHESIS AROUND ALL TERMS!

-(17)±√(17)^2-4(1)(72)/2(1)

Now we can type it into a calculator!

When we plug it into the formula. It gives us two real solutions (or zeroes) which are represented as:

-8 & -9.

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2 years ago

Which expression(s) are greater than 0? Select all that apply.

MakcuM [25]

Answer:

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2 years ago

Suppose a sample of 100 families of four vacationing at Niagara Falls resulted in sample mean of $282.45 spent per day and a sam

Juli2301 [7.4K]

Given Information:

Mean = μ = $282.45

Standard deviation = σ = $64.50

Sample size = n = 100

Confidence level = 95%

Required Information:

95% Confidence interval = ?

Answer:

95% Confidence interval = ($269.81, $295.09)

Step-by-step explanation:

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.

What is Confidence Interval?

The confidence interval represents an interval that we can guarantee that the target variable will be within this interval for a given confidence level.

The confidence interval is given by

$CI = \bar{x} \pm MoE\\$

Where $\bar{x}$ is the mean and MoE is the margin of error given by

$MoE = z_{\alpha/2}(\frac{\sigma}{\sqrt{n} } ) \\$

Where σ is the standard deviation, n is the sample size and $z_{\alpha/2}$ is the z-score corresponding to 95% confidence level.

$z_{\alpha/2} = 1 - 0.95 = 0.05/2 = 0.025\\\\z_{0.025} = 1.96$

$MoE = 1.96\cdot \frac{64.50}{\sqrt{100} } \\\\MoE = 1.96\cdot 6.45\\\\MoE = 12.64\\$

Finally, the confidence interval is

$CI = \bar{x} \pm MoE\\\\CI = 282.45 \pm 12.64\\\\CI = 282.45 - 12.64 \: and \: 282.45 + 12.64\\\\CI = \$269.81 \: and \:\:\$295.09\\$

Therefore, we are 95% sure that the true population mean amount spent per day by a family of four visiting Niagara Falls is within the interval of ($269.81, $295.09)

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2 years ago

There are 7 seats in a roller coaster with 3 seats each and 2 seats are empty then m seats are full?

vitfil [10]

Answer:

im going to say 23

Step-by-step explanation:

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3 years ago

Of flowers in a field 43% are yellow . The others are white. A bee randombly lands on a flowerdescribe the complelment of the be

Dima020 [189]

Answer:

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Step-by-step explanation:

Yellow flowers are 43%.

White flowers are = (100% - 43% ) = 57%

Consider there are total 100 flowers in the garden , so yellow ones are 43 and white ones are 57

Probability of a bee landing on a yellow flower is 43 out of 100

= 43/ 100

=0.43

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2 years ago