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1 year ago

Joeff charges 20$ flat rate plus 27$ per hour to work on cars. how many dollars does joeff earn for a 5 hour job?

1 answer:

7 0

Answer is $155 for the job

Step by step

You can use y intercept formula for this one.

Y = mx + b
Y = Dollars earned, what you are looking for.
M= rate per hour (27)
X = hours worked (5)
B = flat rate (20)

y = (27) (5) + 20

y = $155

Problem solved!

You might be interested in

Find a numerical value if one trigonometric function of x if tan2x-sin2x/sin2x=5

seropon [69]

Answer:

The values of x that satisfy the given equation are:

x1 = 1.183 + nπ

x2 = -1.183 + nπ

Step-by-step explanation:

Given tan²x - sin²x/sin²x = 5

Simplifying this, we have

tan²x - 1 = 5

Adding 1 to both sides, we have

tan²x = 6

Because tan²x = (tanx)², we can write as

(tanx)² = 6

Taking square roots of both sides, we have.

tanx = ±√6

x = arctan(±√6) + nπ

≈ 1.183 + nπ or -1.183 + nπ

4 0

3 years ago

Consider the probability that more than 99 out of 157 software users will not call technical support. Assume the probability tha

Rainbow [258]

Answer:

$P(x>99)= 0.468$

Step-by-step explanation:

From the question we are told that:

Sample size 157

Sample mean

$\=x =np$

$\=x =157*0.56$

$\=x = 87.92$

Generally the equation for Standard deviation is mathematically given by

$\sigma=\sqrt{npq}$

$\sigma=\sqrt{157*0.56*0.44}$

$\sigma =6.22$

Therefore

$P(x>99)=P(z>(\frac{99.5-87.92)}{6.22})$

$P(x>99)=P(z>1.86)$

$P(x>99)= 0.468$

8 0

2 years ago

Look At The Picture Please Help!<br>Please Tell Me The step by step on how to do it

Lina20 [59]

Answer:

Step-by-step explanation: 32/5.76

See how much 32 goes into 57

32 goes into 57: 1 time

1 times 32 is 32

32 - 57 is 25

Then bring down your 6 which now it will be 256

Now how much dose 256 go into 32

It would be 8: 8 x 32 is 256 - 256 = 0

So ur answer is 18

4 0

2 years ago

A new car battery is sold with a two-year warranty whereby the owner gets the battery replaced free of cost if it breaks down du

Mariana [72]

Answer:

4.01% probability that the battery will break down during the warranty period

Step-by-step explanation:

When the distribution is normal, we use 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.

In this question, we have that:

$\mu = 45, \sigma = 12$

a. What is the probability that the battery will break down during the warranty period

Warranty of 2 years = 24 months. So this is the pvalue of Z when X = 24.

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

$Z = \frac{24 - 45}{12}$

$Z = -1.75$

$Z = -1.75$ has a pvalue of 0.0401

4.01% probability that the battery will break down during the warranty period

7 0

3 years ago

If 6x=9y find the value of x:y.

Ad libitum [116K]

Answer:

A complete angle is one which measures 360∘360∘.

The three angles

6x+20∘,9y+30∘,3z+40∘6x+20∘,9y+30∘,3z+40∘

add up to 360∘360∘, as per the question.

6x+20∘+9y+30∘+3z+40∘=360∘6x+20∘+9y+30∘+3z+40∘=360∘

⟹3(2x+3y+z)+90∘=360∘⟹3(2x+3y+z)+90∘=360∘

⟹3(2x+3y+z)=270∘⟹3(2x+3y+z)=270∘

⟹2x+3y+z=90∘⟹2x+3y+z=90∘

This is the required relation.

7 0

2 years ago