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3 years ago

1 BAJILLION POINTS!!

Mathematics

2 answers:

Natalija [7]3 years ago

4 0

Answer:

False!

Step-by-step explanation:

As C is not equal to -13 (number line)

So, your answer would be false.

hope it helps!

loris [4]3 years ago

3 0

We can write an equation for the number line. The open circle means < or >. Since the open circle is at 0, that means c is going to be less than 0. The equation will look like this:

c < 0

The lines goes to left and since their is an arrow at the end of it, it never ends. This means that all negative numbers are solutions to the inequality. This means that -13 will be a solution to the inequality. It also satisfies the inequality we wrote above:

-13 < 0 (-13 is less than 0)

Therefore, the answer is [ True ]

Best of Luck!

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A scientist mixes water (containing no salt) with a solution that contains 30% salt. She wants to obtain 180 ounces of a mixture

xxMikexx [17]

Answer:

water : 90 ounces

salt solution: 90 ounces

Step-by-step explanation:

Call w the amount of water and call the solution containing 30% salt.

We want to get 180 ounces of a mixture with 15% salt.

So:

The amount of mixture will be:

$w + s = 180$

the amount of salt will be

$0w + 0.3s = 180 * 0.15$

$0.3s = 27$

$s = 90\ ounces$

Now we substitute the value of s in the first equation and solve for w

$w + 90 = 180$

$w = 90\ ounces$

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3 years ago

Identify all the hyperbolas which open horizontally

dimaraw [331]

Answer:

The hyperbolas which open horizontally are:

(x+2)^2/3^2-(2y-10)^2/8^2=1

(x-1)^2/6^2-(2y+6)^2/5^2=1

Step-by-step explanation:

A hyperbola with equation of the form:

(x-h)^2/a^2-(y-k)^2/b^2)=1 opens horizontally

Then, the hyperbolas which open horizontally are:

(x+2)^2/3^2-(2y-10)^2/8^2=1

(x-1)^2/6^2-(2y+6)^2/5^2=1

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3 years ago

Read 2 more answers

Thomas and his sister Lauren are competing in a running race. When Thomas is 0.7 miles from the finish line, he notices that his

ratelena [41]

Answer:

ummmmm 0.825

Step-by-step explanation:

im pretty sure thats correct i havent done math like that in a while let me know if its right :)

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3 years ago

What does | | represent?

RSB [31]

It represente the absolute value

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3 years ago

The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.18 millimeters and a standard deviat

dimulka [17.4K]

As per the concept of normal distribution, the two diameters of the bolt that has separate the top 3% and the bottom 3% are 5.2836 mm and 5.0764 mm respectively .

Normal distribution:

Normal distribution means the 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 and it has the bell shaped curve.

Given,

The diameters of bolts produced in a machine shop are normally distributed with a mean of 5.18 millimeters and a standard deviation of 0.07 millimeters.

Here we need to find the two diameters that separate the top 3% and the bottom 3% and these diameters could serve as limits used to identify which bolts should be rejected. we have also round off the result into nearest hundredth.

Here we have the given question with the values of,

The value of Mean is 5.18 millimeters

The value of Standard deviation is 0.07 millimeters.

Here we have to consider the following two cases, they are.

Case 1

We need to find x₁ such that that is P(X > x₁) = 3% when we convert it into decimal then we get P (X > x₁) = 0.03

So, as per the probability,

P (X ≤ x₁) = 1 - 0.03 = 0.97

So, z corresponding to the value of p = 0.97 is 1.48

Apply the given values to the formula of normal distribution then we get,

=> 1.48 = (x₁ - 5.18) /0.07

=> 0.1036 = x₁ - 5.18

Therefore, the value of x₁ is 5.2836

So, the diameter of the both with separate top 3% is 5.2836.

Case 2:

Next we have to take P(X < x₂) = 3% when we convert it into decimal then we get P (X < x₂) = 0.03

So, as per the given probability, the value of

P (X ≤ x₂) = 1 - 0.03 = 0.97

So, z corresponding to but here we have to use the negative because of the less than concept p = 0.97 is -1.48

Apply the values on the formula of normal distribution then we get,

-1.48 = (x₂ - 5.18) /0.07

Move the value to the other side

-0.1036 = x₂ - 5.18

When we simplify it,

x₂ = 5.0764

So, the diameter of the both with separate bottom 3% is 5.0764

To know more about Normal distribution here.

brainly.com/question/12421652

#SPJ1

7 0

1 year ago