Which of the following points is a solution for this system of equations:
y = –2x – 11
y = x² – 2x – 36

A. (0,-36)
B. (-3,-5)
C. (0,-11)
D. (5,-21)

Answer:

0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

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 p-value, we get the probability that the value of the measure is greater than X.

Mean 490 mg and variance of 400.

This means that [tex]\mu = 490, \sigma = \sqrt{400} = 20[/tex]

What is the probability that a randomly selected pill contains at least 500 mg of minerals?

This is 1 subtracted by the p-value of Z when X = 500. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{500 - 490}{20}[/tex]

[tex]Z = 0.5[/tex]

[tex]Z = 0.5[/tex] has a p-value of 0.6915.

1 - 0.6915 = 0.3085

0.3085 = 30.85% probability that a randomly selected pill contains at least 500 mg of minerals

The probability is 0.3085.

Let X=the amount of minerals.

We have to find P(X≥500).

Mean = 490.

Standard deviation = [tex]\sqrt{400}=20[/tex].

z score of 500 is = [tex]\frac{500-490}{20 } =0.5[/tex].

So, P(X≥500) = P(z≥0.5) = 1 - P(z<0.5) = 1-0.6915=0.3085.

Learn more: https://brainly.com/question/14109853

Answer:

0, one solution

Step-by-step explanation:

Answer:

One solution

Step-by-step explanation:

7x+3=4x+3 only has one solution which is x = 0.

Hope this helps! :)

Try using symbolab if you're confused

Answer:

a) (15 × 32) + (15 × 68)

b) Distributive property

c) $1500

Step-by-step explanation:

A vendor supplies 32 litres of milk to a hotel in the morning and 68 litres of milk in the evening. If the milk costs Rs 15 per litre,

a. Write a numerical expression for the given statement.

The numerical expression for the given statement is written as:

$15 × 32 liters + $15 × 68 liters

15 × 32 + 15 × 68

B. Which property of whole numbers would you use to form a numerical expression for the given statement?

The property that I would use to form a numerical expression is a distributive property

a × (b + c) = (ab + ac)

Where a = $15

b = 32 liters

c = 68 liters

Hence:

15 (32 + 68) = (15 × 32) + (15 × 68)

C. How much money he gets per day for the supply?

The amount he gets per day:

15 (32 + 68) = (15 × 32) + (15 × 68)

= $1500

Yes, this parabola is a function because it passes the vertical line test!

The vertical line test is a test where you move left to right over a graph, and look to see if there are any instances where the vertical line touches two points at the same time. If not, then the graph is a function!

Hope this helps!! :)

Answer:

20 feet

Step-by-step explanation:

66/3.3

it's twenty i dont know what else to say

Answer:

20m

Step-by-step explanation:

1m = 3.3ft

66 feet = 20m

Answer:

Step-by-step explanation:

The first answer is correct because you are really not changing anything about the question

Answer:

A

Step-by-step explanation:

The line has to go down when x move to the right due to the negative slope. So B and C cannot be right.

The line has to pass through (0,3), that's the y-intercept, so A and D can still both be right.

For every step to the right, the line has to move 2 down (slope -2). Only A does that. D moves 0.5 down for every step to the right.

Responder:

750 + 0,025X

Explicação passo a passo:

Dado que :

Rendimento Fixo = R $ 750

Ganho variável = 2,5% das vendas totais

Se vendas totais em um mês = x

O valor total ganho = custo fixo + variável

Custo variável = 2,5% * x = 0,025X

Custo total: 750 + 0,025X

Answer:

The answer is 6.3

Step-by-step explanation:

Answer:

The correct answer is "4.5 liters". A further explanation is provided below.

Step-by-step explanation:

Let the solution needed be "x".

then, according to the question,

⇒ [tex]4 \ percent(9)+10 \ percent(x)=6 \ percent(9+x)[/tex]

By solving the above expression, we get

⇒ [tex]0.04\times 9+0.1x=0.06\times 9+0,06\times x[/tex]

⇒                [tex]0.04 x=0.54-0.36[/tex]

⇒                [tex]0.04x=0.18[/tex]

⇒                      [tex]x=\frac{0.18}{0.04}[/tex]

⇒                         [tex]=4.5 \ liters[/tex]

Answer:

f. y-6 = 1/4(x-12)

Step-by-step explanation:

the slope eliminates some options right away :

slope = y/x = 1/4, because x has to increase by 8 units for y to increase by 2 unit (or then simplified 4 units for 1).

so, we only need to look at equations with 1/4 as factor of x.

a. covers (12,6) but not (4,4) - wrong

b. covers none of the 2 points - wrong

c., d., e. have the wrong slope

f. is right. for x=12 y is then 6. for x=4 y is then also 4. correct !

Answer:

Here is ur answer!!!! have a nice day ahead...

Answer:6 events

Step-by-step explanation:

13505+ 18.5x =13616

Answer:

$35.44

Step-by-step explanation:

We can use a proportion to solve this problem

20 : 100 : x : 29.53

x = (29.53*20)/100 = $5.906 (value of the tip)

total cost = 29.53 + 5.906 = $35.436 = $35.44

Answer:

9

Step-by-step explanation:

I think what they are asking is to subtract the 3 tokens from 21 tokens he already has giving us 18. and since it says "Twice the number of tokens" I'm assuming you divide 2 from 18 giving you 9 tokens.

Answer:

9 divided by 21

Step-by-step explanation:

17

Answer:

merhabalar !

HAVE A NİCE DAY

Answer:

Step-by-step explanation:10

Bc you times

Answer:

5.4 feet

Step-by-step explanation:

Pythagorean theorem

a^2+b^2=c^2

5^2 + 2^2=

25+4=29

√29 = 5.385....

About 5.4 feet

Answer:

x = 42

Step-by-step explanation:

The tangent- tangent angle is half the difference of the intercepted arcs.

LN (major) = 360 - 138 = 222 , then

x = [tex]\frac{1}{2}[/tex] (222 - 138) = 0.5 × 84 = 42

Answer:

Distributive Property

Step-by-step explanation:

Answer:

A government by the people

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

-10 - -3

- 10 + 3

-7

(a double negative becomes a positive)

Answer:

-7

Step-by-step explanation:

Answer:

Step-by-step explanation:

The coordinate is (x,-y)

Answer:

(1, -11)

The correct answer is B

Answer:

13,505,599 good luck

Answer:

3675

3680-

0015

3670

15

18350

3670+

1202

Answer:

[tex]b^{2} \sqrt{30b}[/tex]

Step-by-step explanation:

Simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.

Answer:

the answer should be 5.47 if im seeing right the 30 only the b's only the the product or something  

Step-by-step explanation:

hope this helps if so mark it brainliest and if you want join meeting

Answer:

b = t + 45

Step-by-step explanation:

Position of hot air Ballon = 45 meters above tall seat building ;

Height of tall seat building = t

Height of Ballon, b = height of tall seat building + 45 m

Hence,

b = t + 45

Answer:

Area=Base length x Height

Area= O x g.

Answer:

B. 4 cups

Step-by-step explanation:

trust me