All categories

3 years ago

Can someone help me On this!!??

Mathematics

1 answer:

Law Incorporation [45]3 years ago

3 0

Step-by-step explanation:

A. The graphs of two equations intersect at one point.

You might be interested in

Find the nth term of the following sequence<br>-7 ,-4 , -1 , 2 ,5

uysha [10]

Answer:

3n - 10

Step-by-step explanation:

Find the difference between the terms

-7 , -4 , -1, 2, 5

+3 +3 +3 +3

Difference of terms = 3, so you'd write that as 3n

Then you'd need to find the difference between the 1st term and 3:

3 > -7

- 10

So you'd write that as 3n - 10

5 0

3 years ago

Examine the diagram, what is the measure of angle 1?

vfiekz [6]

Answer:

Step-by-step explanation:

We can find the value of x

63 + 15x -3 = 180 since they from a straight line

Combine like terms

60 +15x = 180

Subtract 60 from each side

60-60+15x = 180-60

15x =120

Divide each side by 15

15x/15 = 120/15

x =8

We know that <1 = 8x+7 since they are vertical angles

= 8(8) +7

=71

3 0

4 years ago

Read 2 more answers

Explain what the y- intercept means in this context

trapecia [35]

Answer: they started at 360 feet

7 0

3 years ago

The width of a rectangle measures (26 – 8c) centimeters, and its length measures

Oksi-84 [34.3K]

Answer:

first one is correct

Step-by-step explanation:

length of a rectangle = 2b - 8c

breadth of a rectangle = 10b + 6c

now , formula to calculate the perimeter of rectangle is

p = 2 (l + w)

no substitute the value of l(length) and w(width)

p = 2{(2b - 8c) + (10b + 6c)}

p = 2(2b - 8c + 10b + 6c)

p = 2(12b - 2c)

p = 24b - 4c

8 0

3 years ago

The Nelson Company makes the machines that automatically dispense soft drinks into cups. Many national fast food chains such as

Vika [28.1K]

Answer:

a) There is a 2.28% probability that a new cup will overflow when filled by the automatic dispenser.

b) The mean amount dispensed by the machine should be set at 16.14 ounces to satisfy this wish.

Step-by-step explanation:

Problems of normally distributed samples can be solved using 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 problem, we have that:

Normal model with mean 16 ounces and standard deviation 0.31 ounces. This means that $\mu = 16, \sigma = 0.31$ .

A new 16-ounce cup that is being considered for use actually holds 16.62 ounces of drink.

a. What is the probability that a new cup will overflow when filled by the automatic dispenser?

This probability is 1 subtracted by the pvalue of Z when $X = 16.62$ . So

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

$Z = \frac{16.62 - 16}{0.31}$

$Z = 2$

$Z = 2$ has a pvalue of 0.9772. This means that there is a 1-0.9772 = 0.0228 = 2.28% probability that a new cup will overflow when filled by the automatic dispenser.

b. The company wishes to adjust the dispenser so that the probability that a new cup will overflow is .006. At what value should the mean amount dispensed by the machine be set to satisfy this wish?

This is the value of $\mu$ , with $X = 16.62$ when Z has a pvalue of 0.94. It is between $Z = 1.55$ and $Z = 1.56$ , so we use $Z = 1.555$ .

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

$1.555 = \frac{16.62 - \mu}{0.31}$

$\mu = 16.62 - 0.31*1.555$

$\mu = 16.14$

The mean amount dispensed by the machine should be set at 16.14 ounces to satisfy this wish.

5 0

3 years ago