Katy is going to select a card from the group of cards shown. What is the probability that Katy will select a card labeled 5?

Answer:

a) The null hypothesis is [tex]H_{0}: \mu = 8.5[/tex] and the alternate hypothesis is [tex]H_{a}: \mu \neq 8.5[/tex]

b) A test statistic of -2.06 should be used.

Step-by-step explanation:

Question a:

One water-treatment plant has a target pH of 8.5.

At the null hypothesis, we test if the mean is close to the target. So, the null hypothesis is:

[tex]H_{0}: \mu = 8.5[/tex]

At the alternate hypothesis, we test if it differs from 8.5, so the alternate hypothesis is:

[tex]H_{a}: \mu \neq 8.5[/tex]

Question b:

The test statistic is:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

In which X is the sample mean, [tex]\mu[/tex] is the value tested at the null hypothesis, [tex]\sigma[/tex] is the standard deviation and n is the size of the sample.

8.5 is tested at the null hypothesis:

This means that [tex]\mu = 8.5[/tex]

The mean and standard deviation of 1 hour's test results, based on 17 water samples at this plant, are 8.42 and 0.16, respectively.

This means that [tex]n = 17, X = 8.42, \sigma = 0.16[/tex]

Value of the test statistic:

[tex]z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

[tex]z = \frac{8.42 - 8.5}{\frac{0.16}{\sqrt{17}}}[/tex]

[tex]z = -2.06[/tex]

A test statistic of -2.06 should be used.

Answer:

16

Step-by-step explanation:

number of sides = (sum of interior angles / 180) + 2

(2520 / 180) + 2 = 16 sides

Answer:

can you further elaborate with a picture?

Step-by-step explanation:

Answer:

My best answer would be D since a square is not on here

Step-by-step explanation:

square

So the square has four lines of symmetry.

The rectangle has only two, as it can be folded in half horizontally or vertically

an equilateral triangle has three lines of symmetry.

Answered by; The One and Only #DRIPPQUEENMO

the answer is 24 water pour into the vase

Answer:

V=e^3

Step-by-step explanation:

Answer:

2/5

<|----|----O----|----|----|----|----|----|-> *scale of 1/5 per |

 0  1/5 2/5 3/5 4/5 5/5 6/5 7/5

Step-by-step explanation:

7/5 - 5/5 = 2/5

Answer:

3/8

Step-by-step explanation:

You have three bottles and 8 players. You have to spread 3 bottles over 8 players. Here you get the fraction 3/8, or 3 over 8. This fraction is already simplified, which you know because 3 and 8 have no common factors. Thus you have your answer completed: 3/8.

Answer:

Option c) +/- √14

Step-by-step explanation:

+/- √14² = 14

Answer:

c

Step-by-step explanation:

c. +/-radical 14 this answer of x square = 14

Answer:

x = 5

Step-by-step explanation:

6x + 3 = 9x - 12

     +12         +12

6x + 15 = 9x

-6x         -6x

15 = 3x

/3    /3

x = 5

To check work:

6(5) + 3 = 9(5) - 12

30 + 3 = 45 - 12

33 = 33

Answer:

it's a trapezoid

Step-by-step explanation:

((major base + minor base) x height) / 2

((7+5)x8) / 2 = 52

Answer: C. (-3, 9)

Step-by-step explanation:

Given

2|x-3|=12

Divide both sides by 2

2|x-3|/2=12/2

|x-3|=6

Take of absolute value sign (REMEMBER need to take into consideration of two conditions)

x-3=±6

1)x-3=6

     x=9

2)x-3=-6

      x=-3

**NOTE**: need to check each solution whether or not they are suitable

Hope this helps!! :)

Please let me know if you have any questions

Answer: 18 0/1

Step-by-step explanation:

Answer:

A. -1

B.10

C.0

Step-by-step explanation:

Use calculator*

Answer:

here is the answer

Step-by-step explanation:

you may please search it

The graph that represents a function is graph X

For a graph to represent a function, then the graph must pass the vertical line test.

This means that, no two output values of the graph must have the same input value.

The above statement can be interpreted as:

For every x value, there must be exactly one corresponding y value.

From the given graphs, only graph X passes the vertical line test, because every x value has exactly one corresponding y value.

Hence, the graph X represents a function

Read more about graphs and functions at:

https://brainly.com/question/3939432

Answer:

the answer is x ! hope this helps

Step-by-step explanation:

i took the test

Answer:

0.3897

Step-by-step explanation: i g o o g l e it

Answer:

r=24

Step-by-step explanation:

[tex]\pi r^2\frac{96}{3} = \frac{4}{3} \pi r^3\\r = 24[/tex]

The values of the radius of the cone and sphere is 24 units.

The volume of a cone is the amount of space occupied by a cone in a three-dimensional plane. A cone has a circular base, which means the base is made of a radius and diameter. The volume of a cone formula is 1/3 πr²h.

Given that, the height of the cone is 96 units.

A cone and sphere have the same volume.

Volume of a sphere = Volume of a cone

4/3 πr³=1/3 πr²h

4r³=r²h

4r=96

r=24 units

Therefore, the radius is 24 units.

To learn more about the volume of a cone visit:

https://brainly.com/question/1984638.

#SPJ3

Answer:

2 and 4 has no soulotions, and C has one

Step-by-step explanation:

Answer:

[tex]a{x}^{2} + bx + c = 0[/tex]

Step-by-step explanation:

A quadratic equation is an equation of the second degree, meaning it contains at least one term that is squared. The standard form is ax² + bx + c = 0 with a, b, and c being constants, or numerical coefficients, and x is an unknown variable. One absolute rule is that the first constant "a" cannot be a zero.

[tex]y = {x}^{2} + 3x + 1[/tex]

Answer:

OK Please mark me brailiest to follow your channel.

9514 1404 393

Answer:

  8

Step-by-step explanation:

The number of days has gone down by a factor of 15/24. The number of workers is inversely proportional, so must increase by a factor of 24/15 = 8/5.

  (5 workers) × (8/5) = 8 workers

8 workers are needed to complete the project in 15 days.

Answer:

The slope would be x/y so really the b value could be anything if you leave the slope the same. Hope this helps!

Step-by-step explanation:

x - 7y = 7

-7y = -x + 7

7y = x - 7

y = x/7 - 1

Answer:

[tex]\large{x=\frac{y-a}{c}}[/tex]

Simplified

[tex]\large{x=\frac{y}{c}-\frac{a}{c}}[/tex]

You can either choose simplified or the first one. Both solutions work.

Step-by-step explanation:

First, we have to isolate x-term.

[tex]\large{y=a+cx}[/tex]

This form of equation is called "Literal Equation" where y-term is currently isolated. Now we are going to isolate x-term by subtracting both sides by a-term.

[tex]\large{y-a=a+cx-a}\\\large{y-a=cx}[/tex]

We can say that we simply move the term to the another side and change the sign to the opposite (From plus to minus)

The next thing we are going to do is to divide the whole equation by c-term. Remember, we do not just divide y-term or a-term. We divide the whole expression.

[tex]\large{\frac{y-a}{c}=\frac{cx}{c}}\\\large{\frac{y-a}{c}=x}[/tex]

Finally, the x-term is isolated and thus been solved.

The form of [tex]\large{\frac{y-a}{c}}[/tex] can be simplified to [tex]\large{\frac{y}{c}-\frac{a}{c}}[/tex]

Answer:

x = [tex]\frac{y-a}{c}[/tex]

Step-by-step explanation:

subtract 'a' first

divide by 'c' second

Answer:

3$

Step-by-step explanation:

To find percentage on a discount like this all you have to do is multiply the pre-discount number by your discount percentage.

So all you have to do is:

15 x 0.20

which gives you an answer of 3.

Thus the post-discount amount is $3.

Answer:

D. x = 7 and x = 14

Step-by-step explanation:

this is a quadratic equation, so use the quadratic formula: (-b+-√b^2-4ac) / 2a for ax^2+bx+c=0

Answer:

Z is 87

Step-by-step explanation:

X+ 112 is the intercepted Arc of Angle 93- the arc measure is 2*93= 186

the intercepted arc of angle z is 360- 186= 174

half the arc measure of Z is the measure of angle Z 174/2= 87

Answer:

Step-by-step explanation:

You have to multiply 8 times 12 and that is 96

Answer:

$1.50

Step-by-step explanation:

12÷8

Answer:

C) 10, 1.83

Step-by-step explanation:

Answer:

should be D) = 10, = 1.83

Step-by-step explanation:

guessed it right, edge 23

Answer:

Option B

Step-by-step explanation: