5(5z - 7), when z = -1

Answer:

1) Option A: Fail to reject H0. There is insufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg.  

2)Option D: The results suggest that the filters are effective

Step-by-step explanation:

We are given;

Sample size; n = 25

Sample mean; x' = 19.4 mg

Standard deviation; s = 3.52 mg

Population mean; μ = 21.1 mg

Let's state the hypotheses;

Null Hypothesis;H0: μ = 21.1 mg

Alternative Hypothesis; Ha; μ < 21.1 mg

Now, since sample size is less than 30,we will use a t-test.

Thus;

t = (x' – μ)/[s/√(n)]

t = (19.4 - 21.1)/(3.52/√25)

t = -2.415

Using an online p-value from t-score calculator as attached with the parameters t = -2.415, DF = 25 - 1 = 24, significance level = 0.05, one tailed, we have;

The p-value is 0.011885.

The calculated p-value is less than the significance level of 0.05. Thus, we will fail to reject the null hypothesis and conclude that there is insufficient evidence to support the claim that the mean tar content of filtered 100 mm cigarettes is less than 21.1 mg.

Answer: Option C.

Step-by-step explanation:

Let as consider the below figure is attached below.

We know that angle between tangent and secant is half of difference of major and minor arcs.

[tex]\angle ABC=\dfrac{arc(AD)-arc(AC)}{2}[/tex]

[tex]3x+19=\dfrac{17x-3-91}{2}[/tex]

Multiply both sides by 2.

[tex]6x+38=17x-94[/tex]

[tex]38+94=17x-6x[/tex]

[tex]132=11x[/tex]

Divide both sides by 11.

[tex]12=x[/tex]

The value of x is 12.

[tex]arc(AD)=17(12)-3[/tex]

[tex]arc(AD)=204-3[/tex]

[tex]arc(AD)=201^{\circ}[/tex]

Now,

[tex]arc(DCA)=360^\circ-arc(AD)[/tex]

[tex]arc(DCA)=360^\circ-201^{\circ}[/tex]

[tex]m\widehat {DCA}=159^{\circ}[/tex]

Therefore, the correct option is C .

Answer:

1963.5

-------------

Answer:

1,932 cm approxmately.

Step-by-step explanation:

Your formula is V= π5²h

V= 3.14 x 5² x 25

V= ≈1932 cm

Answer:

he has to save $13 every week for six weeks which equals 78, and 78+9 is 87

When something varies directly as something else, their ratio of change always stays the same.

56 / 7 = 8

Therefore,

8 * 3 = 24

If x = 3 then y = 24

Answer:

jndkjebfjkbwejhfdkfkdsjjdsf

Step-by-step explanation:

fjdshfshdgfjahnd

Answer:

column 2

Step-by-step explanation:

Answer:

week 4 so D

Step-by-step explanation:

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 2}}}}}[/tex]

Step-by-step explanation:

[tex] \displaystyle{ \star{ \: \: \underline{ \sf{given \: equation}}}}[/tex] :

[tex] \sf{3(2x + 1) - 2(x - 5) - 5(5 - 2x) = 16}[/tex]

Distribute 3 through the parentheses

[tex] \mapsto{\sf{6x + 3- 2(x - 5)- 5(5 -2x) = 16}}[/tex]

Distribute 2 through the parentheses

[tex] \mapsto{ \sf{6x + 3 - 2x + 10- 5(5 - 2x) = 16}}[/tex]

Distribute 5 through the parentheses

[tex] \mapsto{ \sf{6x + 3 - 2x + 10 - 25 + 10x = 16}}[/tex]

Combine ike terms and simplify it

Like terms are those which have the same base

[tex] \mapsto{ \sf{6x - 2x + 10x + 3 + 10 - 25 = 16}}[/tex]

[tex] \mapsto{ \sf{4x + 10x + 3 + 10 - 25 = 16}}[/tex]

[tex] \mapsto{ \sf{14x + 3 + 10 - 25 = 16}}[/tex]

Add the numbers : 3 and 5

[tex] \mapsto{ \sf{14x + 13 - 25 = 16}}[/tex]

The negative and positive integers are always subtracted but posses the sign of the bigger integer.

[tex] \mapsto{ \sf{14x - 12 = 16}}[/tex]

Move 17 to right hand side and change it's sign

[tex] \mapsto{ \sf{14x = 16 + 12}}[/tex]

Add the numbers: 16 and 17

[tex] \mapsto{ \sf{14x = 28}}[/tex]

Divide both sides by 14

[tex] \mapsto{ \sf{ \frac{14x}{14} = \frac{28}{14}}} [/tex]

Calculate

[tex] \mapsto{ \boxed{ \sf{x = 2}}}[/tex]

The value of x is 2

Hope I helped!

Best regards!

~TheAnimeGirl

Answer:

4x^2(x+6)

4x^3 is split into 4 and 3 x's

24x^2 is split into 4 and 6 and 2 x's

Cancel out what is the same so 4 and 2 x's and put it out the bracket : 4x^2(

Then put what is left over inside the bracket:

4x^2(x+6)

After factorization of the equation, the net result is 4x²(x + 6).

An integer is factorized using the factorization equation. Factorization is the method of splitting a single object into two or smaller entities, or factors, whose sum equals the original estimate.

As per the provided data in the question,

4x³ consists of 4 and 3 x's

24x² consists of 4 and 6 and 2 x's.

Remove the bracket and remove anything identical, such as 4 and 2 x's: 4x²

Then put what is left over inside the bracket:

4x²(x + 6)

To know more about Factorization:

https://brainly.com/question/24182713

#SPJ2

Answer:

3

Step-by-step explanation:

4x +14 +4x =38

8x =38 - 14

8x=24

x=24 :8

x=3

Answer:

tytytytyt

Step-by-step explanation:

Answer:

i don't either

Step-by-step explanation:

Answer:

42x^2

Step-by-step explanation:

[tex]5(3x^{2} )+9(3x^2)\\\\=(5+9)(3x^2)\\\\=14(3x^2)\\\\=42x^2[/tex]

Answer:

f(x) = 10:  [tex]\large\boxed{6}[/tex]

f(x) = 50:  [tex]\large\boxed{10}[/tex]

f(x) = 120: [tex]\large\boxed{17}[/tex]

Step-by-step explanation:

Write out the whole function using given information

f(x) = [10, 50, or 120]

Domain/y = 0.1x + 5

Substitute the possible values for x into the domain equation and solve

f(x) = 10: 0.1(10) + 5 = 1 + 5 = 6

f(x) = 50: 0.1(50) + 5 = 5 + 5 = 10

f(x) = 120: 0.1(120) + 5 = 12 + 5 = 17

Final answers:

f(x) = 10:  [tex]\large\boxed{6}[/tex]

f(x) = 50:  [tex]\large\boxed{10}[/tex]

f(x) = 120: [tex]\large\boxed{17}[/tex]

Hope this helps :)

Answer:

2

Step-by-step explanation:

is this a real question?

Answer:

-10 if moving to left 10 if moving to the right

Step-by-step explanation:

The difference is 10 because if you go from 0 to 5 and then go to -5 you're skipping 10 units to the left go there if you're going right it's positive 10 if you're going left it's negative -10

The difference is 10.

5 - (-5) = 10.

you are subtracting a negative number.

That basically means adding.

a trick to that is using the two subtraction symbols to make a plus.

I added an image in case that didn’t make sense!

0.065

To convert a percent to a decimal, you move the decimal point to the left two times

Answer: 0.065

Step-by-step explanation:

When we divide 50 by 100 we get 0.5 (a decimal number). So, to convert from percent to decimal: divide by 100, and remove the percent symbol. So for 6.5% divided by 100=0.065

Sorry answered for more points for more questions I'm so sorry.

Answer:

Total houses = 54

House sold last month = 1/3 * 54 = 18

Remaining houses = 54-18 = 36

Houses sold this month = 5/6* 36 = 30 houses

House left to be sold = 36 - 30 = 6 houses

Answer:

s

Step-by-step explanation:

Answer:

(0,3/2), (0,2),(6,0),(9/4,0)

I hope it helpss..

Step-by-step explanation:

A. Dad = 50, Mum  = 47, Sister = 22

me = 19

Total Sum = 50 + 47 + 22 + 19

= 136

√136 = 11.662.

B. + 1435 797 202 = 40

√40 = 6.33

C. BRYAN = 2 + 18 + 25 + 14 = 59

√59 = 7.68.

Answer:

3/8

Step-by-step explanation:

if u simplify you get half then add them the bigger dinominator is the bottom so only add the tops

Answer: 2.46

Step-by-step explanation:

Formula for x-score is given by :-

[tex]Z=\dfrac{\overline{x}-\mu}{\dfrac{\sigma}{\sqrt{n}}}[/tex]

, where [tex]\overline{x}[/tex] = Sample mean , [tex]\mu[/tex]= population mean, [tex]\sigma[/tex] = population standard deviation, n= sample size.

As per given , n=10

[tex]\mu[/tex]= $29,056

[tex]\sigma[/tex] = $3,339

[tex]\overline{x}[/tex] =  $31,650

Then,

[tex]z=\dfrac{ 31650-29056}{\dfrac{3339}{\sqrt{10}}}\\\\=\dfrac{2594}{\dfrac{3339}{3.16227766017}}\\\\=\dfrac{2594}{1055.88451073}=2.45670807142\approx 2.46[/tex]

Hence, the z-score = 2.46

Answer:

Slope: 6/6. Slope in simplest form: 1

Answer:

the cherry tree is now 39 feet tall.

Step-by-step explanation:

95% of 20 is 19, so 20+19=39.

Answer:

Cumulative frequency is the running total of the frequencies. On a graph, it can be represented by a cumulative frequency polygon, where straight lines join up the points, or a cumulative frequency curve.