(8.2×10^2)+(3.41×10^-1)​

Answer:

[tex]z=\frac{0.0156-0.0471}{\sqrt{0.0303(1-0.0303)(\frac{1}{385}+\frac{1}{340})}}=-2.469[/tex]    

Now we can calculate the p value with this probability:

[tex]p_v =P(Z<-2.469)= 0.0068[/tex]    

Since the p value is a very low value and using any significance level 5% or 10% we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of customer complaints using the old dough is less than the proportion of customer complaints using the new dough.

Step-by-step explanation:

Information provided

[tex]X_{1}=6[/tex] represent the complaints with the old dough

[tex]X_{2}=16[/tex] represent the complaints with the new dough

[tex]n_{1}=385[/tex] sample 1 selected  

[tex]n_{2}=340[/tex] sample 2 selected  

[tex]p_{1}=\frac{6}{385}=0.0156[/tex] represent the proportion of complaints with the old dough

[tex]p_{2}=\frac{16}{340}=0.0471[/tex] represent the proportion of complaints with the new dough

[tex]\hat p[/tex] represent the pooled estimate of p

z would represent the statistic

[tex]p_v[/tex] represent the value

Hypothesis to test

We want to verify if the proportion of customer complaints using the old dough is less than the proportion of customer complaints using the new dough, the system of hypothesis would be:    

Null hypothesis:[tex]p_{1} \geq p_{2}[/tex]    

Alternative hypothesis:[tex]p_{1} < p_{2}[/tex]    

The statitsic is given by:

[tex]z=\frac{p_{1}-p_{2}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{1}}+\frac{1}{n_{2}})}}[/tex]   (1)  

Where [tex]\hat p=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{6+16}{385+340}=0.0303[/tex]  

Replacing the info provided we got:

[tex]z=\frac{0.0156-0.0471}{\sqrt{0.0303(1-0.0303)(\frac{1}{385}+\frac{1}{340})}}=-2.469[/tex]    

Now we can calculate the p value with this probability:

[tex]p_v =P(Z<-2.469)= 0.0068[/tex]    

Since the p value is a very low value and using any significance level 5% or 10% we have enough evidence to reject the null hypothesis and we can conclude that the true proportion of customer complaints using the old dough is less than the proportion of customer complaints using the new dough.

Answer:

1/4

Step-by-step explanation:

the numbers greater than nine are: 10,11,12

1,3,5,7,9

So that is nine numbers

9/12 can be simplified to 3/4 if you divide by 3

if you like my answer please give me the brainliest. I'm trying to boost my rank and I'm really close

Answer:

[tex]\frac{(x + 1)}{(x + 3)}[/tex]

Step-by-step explanation:

If you ignore the 7x for the moment, you can see that the numerator can be factored into (x-5)(x+1), and the denominator can factored into (x-5)(x+3).

The (x+5)s can cancel out, so you are left with [tex]\frac{(x+1)}{(x+3)}[/tex] times [tex]\frac{7x}{7x}[/tex]. Since 7x/7x is just equal to 1, our final answer is (x+1)/(x+3).

Hope this helped! :)

Answer:

~ 0.375 centimeters of the snowflake in real life ~

Step-by-step explanation:

Let us plan out our steps, and solve for each:

1. Given the information, let us create a proportionality as such:

      48       =           1      ⇒   x - centimeters of the snowflake in real life

       18                    x

2. Now let us cross multiply, and solve through simple algebra for x:

48 * x = 18,

x = 0.375 centimeters of the snowflake in real ife

Answer:

Null Hypothesis, [tex]H_0[/tex] : [tex]\mu_d[/tex] = 0

Alternate Hypothesis, [tex]\mu_d\neq[/tex] 0    

Step-by-step explanation:

We are given that a local insurance agent randomly selected profiles for 10 of his clients and checked online price quotes for their policies.

Then, based on paired data on the 10 clients (the price he offered them and the corresponding online quote), he obtained t-statistic = 0.709 p-value = 0.248.

Here , we will use the concept of Paired data test statistics because the prices that the local insurance agent offered and the corresponding online quotes are from the same single data. These information has not been taken from the two independent samples.

So, Null Hypothesis, [tex]H_0[/tex] : [tex]\mu_d[/tex] = 0    

Alternate Hypothesis, [tex]\mu_d\neq[/tex] 0    

Here, null hypothesis states that there is no difference between the price he offered them and the corresponding online quote.

On the other hand, alternate hypothesis states that there is difference between the price he offered them and the corresponding online quote.

Hence, this would be the correct null and alternative hypothesis.

Answer:

False

Step-by-step explanation:

Answer:

Total Cost = 14c + 10p

Step-by-step explanation:

Answer:

14c+10p= the total cost

Answer:

43.96

Step-by-step explanation:

ok so you use the formula: A= 3.14•r•2 next you plug in your values a=3.14•7•2 3.14•7= 28.98•2=43.96

Answer:

43.96

im dying on the question before that one it says "What issues are you having when it comes to area and circumference" you typed nothing really and here you are asking us whats the circles area lol

Step-by-step explanation:

Answer:

hhhhhhh

Step-by-step explanation:

Answer:

  f(x) = 120(23/12)^(x-6)

Step-by-step explanation:

One way to write the model is ...

  f(x) = f(x1)·(f(x2)/f(x1))^((x -x1)/(x2-x1))

Filling in the given numbers, this is ...

  f(x) = 120·(230/120)^((x-6)/(7-6))

  f(x) = 120(23/12)^(x-6)

__

Comment on this model

This could be written in the form ...

  f(x) = a·e^(bx)

but the constants "a" and "b" would be approximations to their irrational values. We have elected to write the model with exact values in a form that reproduces the given two points exactly.

Answer:

Probability that more than eight but fewer than 12 of the 20 constituents sampled believe  their representative possesses low ethical standards is 0.417890.

Step-by-step explanation:

We are given that the paper claims that 43% of all constituents believe their representative possesses low ethical standards.

Suppose 20 of a representative's constituents are randomly and independently sampled.

The above situation can be represented through binomial distribution;

[tex]P(X=r) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r} ; x = 0,1,2,3,.....[/tex]

where, n = number of trials (samples) taken = 20 constituents

            r = number of success = more than eight but fewer than 12

            p = probability of success which in our question is probability that

                  all constituents believe their representative possesses low

                  ethical standards, i.e; p = 43%

Let X = Number of constituents who believe their representative possesses low ethical standards

So, X ~ Binom(n = 20 , p = 0.43)

Now, Probability that more than eight but fewer than 12 of the 20 constituents sampled believe  their representative possesses low ethical standards is given by = P(8 < X < 12)

P(8 < X < 12)  =  P(X = 9) + P(X = 10) + P(X = 11)

= [tex]\binom{20}{9} \times 0.43^{9} \times (1-0.43)^{20-9}+ \binom{20}{10} \times 0.43^{10} \times (1-0.43)^{20-10}+\binom{20}{11} \times 0.43^{11} \times (1-0.43)^{20-11}[/tex]

= [tex]167960 \times 0.43^{9} \times 0.57^{11}+ 184756 \times 0.43^{10} \times 0.57^{10}+167960 \times 0.43^{11} \times 0.57^{9}[/tex]

= 0.417890

Hence, the required probability is 0.417890.

The probability that more than eight but fewer than 12 of the 20 constituents sampled believe their representative possesses low ethical standards is; C. 0.417890

We are given;

proportion; p = 43% = 0.43

sample size; n = 20

P(X = x) = ⁿCₓ * pˣ * (1 - p)ⁿ ⁻ ˣ

Thus the probability that more than eight but fewer than 12 of the 20 constituents sampled believe their representative possesses low ethical standards is;

P(8 < X < 12)  =  P(X = 9) + P(X = 10) + P(X = 11)

From online binomial probability calculator, we have;

P(8 < X < 12)  =  0.17419889 + 0.14455452 + 0.09913627

P(8 < X < 12)  = 0.417890

Read more about binomial probability at; https://brainly.com/question/15246027

Answer:

Rewrite in standard form to find the center  

( h , k )  and radius  r .

Center:  ( 0 , 2 )  Radius:  4

Step-by-step explanation:

Answer:

Rewrite in standard form to find the center  

( h , k )  and radius  r .

Center:  ( 0 , 2 )  Radius:  4

Lol hope this helps

Step-by-step explanation:

Answer:

AB=21 miles

Step-by-step explanation:

Since it's a right angles triangle, we'll use Pythagoras theorem

HYPOTENUSE ²= base² + perpendicular ²

Where hyp=AB, base=16 and perp=13

AB²=16²+13²

AB²=256+169

AB²=425

Taking sq root.

AB=20.6 miles

AB≈21 miles

Answer:B. The regression line​ changes, but the change is small. C. There is no regression line for the second case because the data are in a pattern. D. The regression line is very similar in both cases.

Step-by-step explanation:

Answer:

  8x +6y -28

Step-by-step explanation:

The outside factor applies to each inside term, so the equivalent expression is ...

  -8(-x -3/4y +7/2) = 8x +6y -28

Applying the distributive property once again, we can also write the equivalent expression ...

  = 2(4x +3y -14)

__

There are an infinite number of other equivalent expressions. The problem statement is non-specific as to the acceptable form.

Answer:

5%

Step-by-step explanation:

To find the tax, we take the price times the tax rate

2 = 40* rate

Divide each side by 40

2/40 =rate

.05 = rate

Changing to percent form

5% = rate

Answer:

tax rate = 2 / 40  = 1 /20 = 0.05 *100 = 5%

Step-by-step explanation:

Answer:

(-2,1)

Step-by-step explanation:

Answer:

The density is equal to the weight divided by the volume:

[tex]\rho=\dfrac{W}{V}[/tex]

The paperweight weights 300 grams.

Step-by-step explanation:

The density of the paperweight can be calculated knowing the weight and the volume of this paperweight.

The density is equal to the weight divided by the volume:

[tex]\rho=\dfrac{W}{V}[/tex]

We know that the density of this paperweight is 1.5 grams per cm3, and its volume is 200 cm3.

We can use the formula of the density to calculate the weight:

[tex]\rho=\dfrac{W}{V}\\\\\\W=\rho\cdot V=1.5\;\dfrac{g}{cm^3}\,\cdot\;200\; cm^3\\\\\\W=300\;g[/tex]

The paperweight weights 300 grams.

Answer:   the domain of f/g is every real number except 1 which can be conventionally expressed as {(x,y): x ∈ R, x ≠ 1} OR (-∞ ≤ x < 1) ∩ (1< x ≤ ∞) OR x ∈ R; x ≠ 1.

Step-by-step explanation:

since f(x) = x + 4 and g(x) = x -  1

then f/g = x + 4/x - 1

the denominator of a function cannot be zero since a fraction with a denominator of zero is undefined.

∴  x - 1 ≠ 0

the value of x when g(x) = 0 is

       x - 1 = 0

       x = 1

∴ x ≠ 1

Therefore the domain of f/g is every real number except 1 which can be conventionally expressed as {(x,y): x ∈ R, x ≠ 1} OR (-∞ ≤ x < 1) ∩ (1< x ≤ ∞) OR x ∈ R; x ≠ 1.

Answer:

3cm+2cm+5cm=10cm

%=100

10*10=100

2cm*10=20%

Step-by-step explanation:

the shaded area is width of 2 2/10 or 20/100

Answer:

33%

Step-by-step explanation:

for if u want to do it 4cm then

4+3+3=10

100π cm^2

49π cm^2

16π cm^2

49π - 16π = 33π

33/100 =33%

Answer:25 in^2

Step-by-step explanation:

d1=10 d2=5

area of rhombus=( d1 x d2)/2

Area of rhombus=(10x5)/2

area of rhombus=50/2

Area of rhombus=25 in^2

Answer:

3218.75 a month

Step-by-step explanation:

Answer:

3/8

Step-by-step explanation:

add 5+1+3=9

and there is 3 cheese pizza so its 3 over 8.

Answer:

3/9

Step-by-step explanation:

Answer:

True? What are you asking

Step-by-step explanation:

But yes triangles are congruent by either of those

Answer:

you're not really asking anything, or is this a true/false statement

Step-by-step explanation:

Answer:

$12.38

Step-by-step explanation:

Answer:

10.05 for 12 quarts

Step-by-step explanation:

Answer:

Ummmm 2 I think

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

Answer:

Cylinder A has a volume of 35.34 and Cylinder B has a volume of 58.9, the cylinder B has the greater volume.

Step-by-step explanation:

B= (3.14) 2.5 x 3h = 58.9     Cylinder B = 58.9

A= (3.14) 1.5 x 5h = 35.34     Cylinder A = 35.34

Answer:

The answer is the garbage truck had 6 wheels

Step-by-step explanation:

Since the semitruck has 18 wheels and the semitruck had 3 times more wheels than a garbage truck all you would have to do is divide 18 by 3 and you will get 6 as your answer.

Hope this helps, its my first time answering.