8. Write an equation for the graph in slope-
intercept form.
10
9
a. y = 10x - 3
50
7
b. y = -3x + 10
LA
1
C. Y = -x + 10
3
3
2 1
3
4 5 6
7
8 9 10

Answer:

1.504

Step-by-step explanation:

Answer:

a

The null hypothesis is  [tex]H_o : \mu  =  13.4000[/tex]

The alternative hypothesis is  [tex]H_a :  \mu \ne  13.4000[/tex]

The null hypothesis is rejected

b

The  99% confidence level is   [tex]13.3930  < \mu  < 13.3994 [/tex]

Step-by-step explanation:

From the question we are told that

  The sample size is  n =  10

   The  population mean is  [tex]\mu =  13.4 000 \  angstroms[/tex]

   The level of significance is  [tex]\alpha =  0.05[/tex]

   The  sample data is  

13.3987, 13.3957, 13.3902, 13.4015, 13.4001, 13.3918, 13.3965, 13.3925, 13.3946, and 13.4002

Generally the sample mean is mathematically represented as

        [tex]\= x =  \frac{13.3987+ 13.3957\cdots +13.4002 }{10}[/tex]

=>     [tex]\= x = 13.3962 [/tex]

Generally the sample standard deviation  is mathematically represented as

    [tex]\sigma = \sqrt{\frac{\sum (x_i - \= x)^2}{n} }[/tex]

=> [tex]\sigma = \sqrt{\frac{ (13.3987 - 13.3962)^2 +  (13.3987 - 13.3962)^2 + \cdots + (13.3987 -13.4002)^2  }{10} }[/tex]

=>  [tex]\sigma =0.0039 [/tex]

The null hypothesis is  [tex]H_o : \mu  =  13.4000[/tex]

The alternative hypothesis is  [tex]H_a :  \mu \ne  13.4000[/tex]

Generally the test statistics is mathematically represented as

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

=>    [tex]z  =  \frac{13.3962 -  13.4000}{\frac{0.0039}{\sqrt{10} } }[/tex]

=>   [tex]z =  3.08[/tex]

Generally the p-value is mathematically represented as

       [tex]p-value  = 2P( z   >  3.08)[/tex]

From the z-table  [tex]P(z >  3.08)= 0.001035[/tex]

So

       [tex]p-value  = 2* 0.001035[/tex]

      [tex]p-value  = 0.00207[/tex]

So from the obtained value we see that

     [tex]p-value  < \alpha[/tex]

Hence the null hypothesis is rejected

Consider the b question

Given that the confidence level is  99%  then the level of significance is

    [tex]\alpha =  (100 -99)\%[/tex]

=> [tex]\alpha =  0.01[/tex]

Generally from the normal distribution table critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

    [tex]Z_{\frac{\alpha }{2} } =  2.58[/tex]

Generally the margin of error is mathematically represented as  

     [tex]E =  Z_{\frac{\alpha }{2} } *  \frac{\sigma}{\sqrt{n} }[/tex]

=>   [tex]E = 2.58  *  \frac{0.0039}{\sqrt{10} }[/tex]

=>    [tex]E = 0.00318[/tex]

Generally the 99% confidence interval is mathematically represented as

     [tex]13.3962   - 0.00318  < \mu  < 13.3962   +  0.00318 [/tex]

=>   [tex]13.3930  < \mu  < 13.3994 [/tex]

Answer:

First even integer: 6

Step-by-step explanation:

Inequalities

Assume x is the first even integer. The next integer is x+2, and the last integer ix x+4.

The condition states that the sum of the first and the second number is 15 less than three times the third. This takes us to the inequality:

[tex]x+x+2<3(x+4)-15[/tex]

Operating:

[tex]2x+2<3x+12-15[/tex]

Subtracting 2 and 2x:

[tex]0<3x+12-15-2x-2[/tex]

Simplifying:

[tex]0<x-5[/tex]

Solving:

x>5

There are infinitely many solutions. For example, for x=6 (first even number into the solution interval):

First integer: 6

Second integer: 8

Third integer: 10

There are other solutions, like 20,22,24 but the first set is 6,8,10.

Answer:

0.0001

Step-by-step explanation:

10^-4 = 0.0001

Answer:

i am pretty sure it is F

Step-by-step explanation:

Answer:f?

Step-by-step explanation:

Answer:

the last one is not part of the proof, because it's not SSS it's SAS.

Answer:

D

Step-by-step explanation:

it is incorrect the answer is SAS

Answer:

-4, 1, 3 (B)

Step-by-step explanation:

im taking the test right now and its right.

The roots of the polynomial equation, x³ -7x = 6x -12 are; -4, 1 , 3.

The Polynomial equation given; x³ -7x = 6x -12 can be rewritten as;

By testing factors of 12, we can obtained the first factor, (x -1); from x= 1

When the polynomial is divided by long division method and factorised, the factors are; (x+4) (x -3) (x -1).

Read more on roots of Polynomial;

https://brainly.com/question/2833285

Answer:

Here it goes -0.333

Answer:

489 km is the perimeter

Step-by-step explanation:

mark me BRAINLIEST

Answer:

D. The opposite of -4 is  equal to the absolute value of -4.

Step-by-step explanation:

Answer:

y is more than or equal to -1 5/23

Answer:

Step-by-step explanation:

direct proportion

1mile in 5 minutes

xmiles in 60 minutes

cross multiply

60/5=12 miles

Answer:

12 miles

Step-by-step explanation:

1×12=12 a clock has 60 minutes per hour 60÷5=12 12×1=12

Answer:

If a polygon is a triangle then it has exactly three sides

A polygon has 3 sides if and only if it is a triangle. Put it all together: Conditional: If a polygon is a triangle, then it has three sides. Converse: If a polygon has three sides, then it is a triangle.

Answer:

yes

Step-by-step explanation:

Answer:

The answer is 6. Does that help?

Answer:

there was a 44 degree change in the tenpature

Answer:

this is the remainder.

Answer:

$0.84

Step-by-step explanation:

6.5 x 12 = 78 total # of flowers

or 68.25 divided by .875= 78.

≈$0.84  approximately

Answer:

Gavin bought 6.5 dozen carnations. He spent $68.25 on the flowers. How much did each flower cost?

First, find the total number of flowers by

✔ multiplying

6.5 by 12.

The total number of flowers is

✔ 78

.

Then

✔ divide

$68.25 by the total number of flowers to find the cost of each flower.

Each flower will cost approximately

✔ $0.90

.

Step-by-step explanation:

I got this question wrong for you to see the answer

Answer:

5 possibly.

Step-by-step explanation:

If you can give me the answer to the equation I could give you a more accurate answer.

Answer:

Less than - hope it helpssssss

Step-by-step explanation:

Answer:

mode: 26 median: 25

Step-by-step explanation:

mode: because mode is what appears most, and thats 25

median: is what is in the middle so we cross some numbers off and we get 25

please mark brainliest

Answer:

It will take 26.34 minutes for the population to reach 5 times its initial value

Step-by-step explanation:

Exponential Growing

The population of bacteria grows at a rate expressed by the equation:

[tex]f(t)=256e^{0.06111t}[/tex]

Where t is in minutes.

We need to know when the population will reach 5 times its initial value. The initial value can be determined by setting t=0:

[tex]f(0)=256e^{0.06111\cdot 0}=256\cdot 1=256[/tex]

Now we find the time when the population is 5*256=1,280. The equation to solve is:

[tex]1,280=256e^{0.06111t}[/tex]

Dividing by 256:

[tex]e^{0.06111t}=1,280/256=5[/tex]

Taking natural logarithms:

[tex]ln\left(e^{0.06111t}\right)=ln5[/tex]

Applying the logarithm properties:

[tex]0.06111t=ln5[/tex]

Solving for t:

[tex]t=ln5/0.06111=26.34[/tex]

It will take 26.34 minutes for the population to reach 5 times its initial value

Answer:

8/12 = 2/3

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

add,subtract

Answer:

500 ones hope this helps

Answer:

Angle ABC is equal to 130.4°

Step-by-step explanation:

When an angle is bisected, it is divided into two equal parts, so if BD bisects ∠ABC, then the two angles that add up to it, ∠ABD and  ∠DBC, must be equivalent.

We know that ∠ABD equals 65.2, so that must mean that ∠DBC also equals 65.2.

Here is our equation:

∠ABC=∠ABD+∠DBC

After substituting, we will get

∠ABC=65.2+65.2=130.4

130.4° is the measure of ∠ABC.

Answer:

B. 24p - 12 = 26

For both 4(6p – 3) = 26 and 24p - 12 = 26,  [tex]p = \frac{19}{12}[/tex]

I hope that this helps you!

Answer:

B:24p – 12 = 26

Step-by-step explanation: