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Mila [183]
3 years ago
13

Joseph accepted a new job at a company with a contract guaranteeing annual raises. Joseph will get a raise of $5000 every year a

nd had a starting salary of $70000. Write an equation for S,S, in terms of n,n, representing Joseph's salary after working nn years for the company.
Mathematics
1 answer:
daser333 [38]3 years ago
8 0

Answer:

70000 + 5000nn = n

Step-by-step explanation:

70000 + 5000nn = n

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A unit of measure sometimes used in surveying is the link; 1 link is
liraira [26]

Answer:

Number of links in 7 feet = 10 links (Approx)

Step-by-step explanation:

Given:

1 link = 8 inches distance

Find:

Number of links in 7 feet

Computation:

1 feet = 12 inches

So,

7 feet = 12 x 7 = 84 inches

So,

Number of links in 7 feet = 84/8

Number of links in 7 feet = 10 links (Approx)

8 0
3 years ago
Why is y=-12.5x have a proportional relationship
Natalka [10]

Answer:

A proportional relationship is any relationship that stays constant. since both sides of the equation do not change, this is a proportional relationship

8 0
3 years ago
About 10% of people in the United States are left handed. Suppose we take a sample of 120 U.S. Residents, and let X = the number
olganol [36]

Answer:

1) E(X) = np = 120*0.1 =12

SD(X) = \sqrt{np(1-p)}= \sqrt{120*0.1*(1-0.1)} =3.286

For this case we can interpret that the expected variation around the mean is about 3.3 people approximated

2) P(X\geq 16)

And we can use the normal approximation given by:

X \sim N(12, \sigma =3.286)

And we can use the z score formula given by:

z = \frac{X -\mu}{\sigma}

And if we find the z score for 16 we got:

z = \frac{16-12}{3.286}= 1.217

And we can find this probability using the normal standard distribution or excel and we got:

P(Z>1.217) = 0.112

3) For this case we can conclude that the probability to find 16 or more individuals left handed in a sample of 120 is about 0.112 or 11.2%

Step-by-step explanation:

Let X represent the random variable for the number of residents who are left handed

And for this case we can model this variable with this distirbution:

X\sim Binom(n= 120 , p =0.1)

Part 1

The mean is given by:

E(X) = np = 120*0.1 =12

And the deviation would be:

SD(X) = \sqrt{np(1-p)}= \sqrt{120*0.1*(1-0.1)} =3.286

For this case we can interpret that the expected variation around the mean is about 3.3 people approximated

Part 2

We want to calculate this probability:

P(X\geq 16)

And we can use the normal approximation given by:

X \sim N(12, \sigma =3.286)

And we can use the z score formula given by:

z = \frac{X -\mu}{\sigma}

And if we find the z score for 16 we got:

z = \frac{16-12}{3.286}= 1.217

And we can find this probability using the normal standard distribution or excel and we got:

P(Z>1.217) = 0.112

Part 3

For this case we can conclude that the probability to find 16 or more individuals left handed in a sample of 120 is about 0.112 or 11.2%

7 0
3 years ago
Laila is having shirts made with a logo printed on them to promote her band. The total cost consist of a one time fee is $75 to
Serggg [28]

Answer:

x=75x+8x

Step-by-step explanation:

6 0
3 years ago
A boat is anchored 2.2 km due south of a lighthouse. Along the shore, the town of Beachton is 16.8 km due east of the lighthouse
pogonyaev

Answer:

16.9 km

Step-by-step explanation:

From the diagram attached, we can see that the problem forms a triangle.

So, to find the distance(d) from the boat to Beachton , we can make use of Pythagoreas theorem.

Thus;

d² = 16.8² + 2.2²

d² = 282.24 + 4.84

d² = 287.08

d = √287.08

d = 16.9434

Approximating to the nearest tenth, we have;

d ≈ 16.9 km

6 0
3 years ago
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