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torisob [31]
3 years ago
14

Jalisa is making bracelets with leather bands. Each bracelet uses 7 3/4 inches of leather banding. She plans to make 4 bracelets

. How many inches of leather banding will she need?
Mathematics
1 answer:
marysya [2.9K]3 years ago
4 0
31 inches because 7x4=28 3/4x4=12/4 and 12/4=3 so 28+3=31
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Find the slope of a line that contains the two points (-2,8) and (1,2)
kifflom [539]

Answer:

m = -2

Step-by-step explanation:

Slope Formula: m=\frac{y_{2}-y_{1} }{x_{2}-x_{1}}

Points: (-2, 8), (1, 2)

m = \frac{8-2}{-2-1}

m = -2

6 0
3 years ago
Over the summer, Kelly read 19 books. Elyse read 6 more
likoan [24]

Answer:

25

Step-by-step explanation:

7 0
3 years ago
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Student scores on exams given by a certain instructor have mean 74 and standard deviation 14. This instructor is about to give t
Lapatulllka [165]

Answer:

P(\bar X >80)=P(Z>2.143)=1-P(z

Step-by-step explanation:

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

Let X the random variable that represent the Student scores on exams given by a certain instructor, we know that X have the following distribution:

X \sim N(\mu=74, \sigma=14)

The sampling distribution for the sample mean is given by:

\bar X \sim N(\mu,\frac{\sigma}{\sqrt{n}})

The deduction is explained below we have this:

E(\bar X)= E(\sum_{i=1}^{n}\frac{x_i}{n})= \sum_{i=1}^n \frac{E(x_i)}{n}= \frac{n\mu}{n}=\mu

Var(\bar X)=Var(\sum_{i=1}^{n}\frac{x_i}{n})= \frac{1}{n^2}\sum_{i=1}^n Var(x_i)

Since the variance for each individual observation is Var(x_i)=\sigma^2 then:

Var(\bar X)=\frac{n \sigma^2}{n^2}=\frac{\sigma}{n}

And then for this special case:

\bar X \sim N(74,\frac{14}{\sqrt{25}}=2.8)

We are interested on this probability:

P(\bar X >80)

And we have already found the probability distribution for the sample mean on part a. So on this case we can use the z score formula given by:

z=\frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}

Applying this we have the following result:

P(\bar X >80)=P(Z>\frac{80-74}{\frac{14}{\sqrt{25}}})=P(Z>2.143)

And using the normal standard distribution, Excel or a calculator we find this:

P(Z>2.143)=1-P(z

6 0
4 years ago
Find the equation of the line parallel to the line y = 2x + 3 and expect oy in (0; 1)
nignag [31]

Step-by-step explanation:

Any lines that are parallel to each other have the same slope (coefficient of x is the same)

In this case, y = 2x + c.

Since it includes the point (0, 1), the y-intercept is 1 and that is c itself.

Hence, the equation of the parallel line is y = 2x + 1.

8 0
4 years ago
If 15 workers can paint 18 houses in 24
Rasek [7]

Answer: 11

Step-by-step explanation:

If 15 workers can paint 18 houses in 24 days, how many days will 40 workers take to paint 22 houses?

--------------

# of days are inversely related to # of workers and directly related

to # of houses.

--------------

d = kh/w

---

Solve for "k" using "15 workers can paint 18 houses in 24 days"

24 = k*18/15

k = 15*24/18 = 15*(4/3) = 20

--------------

Equation:

d = 20h/w

---

Solve: How many days will 40 workers take to paint 22 houses?

d = 20*22/40

d = 11 days

6 0
3 years ago
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