So far this month you have achieved $100.90 in sales which is 50% of your monthly goal l. With 5 more workdays this month, how much do you need to sell each day to reach your goal?

Answer:

The 95% confidence interval for the population mean gas price in Gainesville is between $2.54 and $2.62.

Step-by-step explanation:

We have the standard deviation of the sample, so we use the t-distribution to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 28 - 1 = 27

95% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 27 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.95}{2} = 0.975[/tex]. So we have T = 2.0.52

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.052\frac{0.09}{\sqrt{27}} = 0.04[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is $2.58 - $0.04 = $2.54

The upper end of the interval is the sample mean added to M. So it is $2.58 + $0.04 = $2.62.

The 95% confidence interval for the population mean gas price in Gainesville is between $2.54 and $2.62.

Answer:

its loading but ill help!

Step-by-step explanation:

Answer:

5m^2

Step-by-step explanation:

Given data

Length of board= 2.50m

Width of board= 2m

The cover need should have the same area as the board

Area= Length*Width

Area= 2.5*2

Area=5m^2

Hence the area of the cover is 5m^2

Answer:

0.0006

Step-by-step explanation:

Answer:B,C and E

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

Answer:

[tex]x=1, y=2[/tex]

Step-by-step explanation:

[tex]\begin{bmatrix}-2x-5y=-12\\ 10x-4y=2\end{bmatrix}[/tex]

Isolate x for [tex]-\:2x\:-\:5y=-12[/tex]

[tex]-\:2x\:-\:5y=-12[/tex]

Add 5y to both sides.

[tex]-2x-5y+5y=-12+5y[/tex]

Simplify.

[tex]-2x=-12+5y[/tex]

Divide both sides by 2.

[tex]x=-\frac{-12+5y}{2}[/tex]

Substitute x for [tex]-\frac{-12+5y}{2}[/tex].

[tex]\begin{bmatrix}10\left(-\frac{-12+5y}{2}\right)-4y=2\end{bmatrix}[/tex]

Simplify.

[tex]\begin{bmatrix}-29y+60=2\end{bmatrix}[/tex]

Isolate y for [tex]-29y+60=2[/tex]

[tex]y=2[/tex]

Substitute y in [tex]-\frac{-12+5y}{2}[/tex] for 2.

[tex]x=-\frac{-12+5\cdot \:2}{2}[/tex]

Simplify.

[tex]x=1,\:y=2[/tex]

Please vote me Brainliest if this helped!

Answer:

Step-by-step explanation:

Given

Solve for x

Answer:

2

Step-by-step explanation:

first answer deleted by moderator... even when it was correct... i did more explaining on that one, but they kindly deleted my answer and didn't even show my full answer after they had deleted it like some other moderators do which i always appreciate.

Answer:

2x=  1 /2 y+ 2

Step-by-step explanation:

Solve for x.

2x−y=4

Add y to both sides.

2x−y+y=4+y

2x=y+4

Divide both sides by 2.

2x /2  =  y+4 /2

x= 1/ 2 y+2

The required point that is the solution to the equation 2x - y = 4 is at (2, -4)

In order to get the solution to the equation, we will need to get its x and y-intercept.

x- intercept is the point where y is zero.

Given the equation 2x - y = 4

If y = 0

2x - 0 = 4

2x = 4

x = 4/2

x = 2

Get the y-intercept

y intercept is the point where x = 0

if x = 0

2(0) - y = 4

-y = 4

y = -4

Hence the y-intercept is -4

The required point that is the solution to the equation is at (2, -4)

Learn more here: https://brainly.com/question/24609929

Answer:

The simplified expression is 6k+19 .

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

5x = 30

divide both sides by 5:

x = 6

Answer:

Robert paid $4,603.6 in Social Security.

Step-by-step explanation:

Robert total earnings:

$5,805 at Young's Grocery.

$12,445 at A&B Restaurant.

$56,002 at CCD Communications.

So his total earnings are of:

5805 + 12445 + 56002 = $74,252

How much did Robert pay in Social Security?

6.2%, that is, 0.062 of $74,252. So

0.062*74252 = $4,603.6

Answer:

Solving the equation using quadratic formula we get [tex]\mathbf{x=0.119\:or\:x=-2.785}[/tex]

Step-by-step explanation:

We need to use the quadratic formula to find the solutions for

[tex]y = 3x^2 + 8x - 1[/tex]

(Note: quadratic formula is used when x^2 is in the equation. So considering 3x^2 instead of 3x^3)

The quadratic formula is: [tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

From the given equation [tex]y = 3x^3 + 8x - 1[/tex] we have a =3, b=8 and c =-1

Putting values in the formula and finding solutions:

[tex]x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-8\pm\sqrt{(8)^2-4(3)(-1)}}{2(3)}\\x=\frac{-8\pm\sqrt{64+12}}{6}\\x=\frac{-8\pm\sqrt{76}}{6}\\x=\frac{-8\pm8.71}{6}\\x=\frac{-8+8.71}{6}\:or\:x=\frac{-8-8.71}{6}\\x=0.119\:or\:x=-2.785[/tex]

So, Solving the equation using quadratic formula we get [tex]\mathbf{x=0.119\:or\:x=-2.785}[/tex]

C. No. Hardy should have multiplied by the scale factor to find the missing length.

Answer:

8/15 and 3/10

Answer:5y-25

Step-by-step explanation:

Answer:

5y - 25

Step-by-step explanation:

that expression shown 25 less than 5y

hope this helps...

Answer:

√6: 2.44

Step-by-step explanation:

first one since it's closer to the square root of 6

Answer:

Confidence interval variance [21.297 ; 64.493]

Confidence interval standard deviation;

4.615, 8.031

Step-by-step explanation:

Given :

Variance, s² = 34.34

Standard deviation, s = 5.86

Sample size, n = 27

Degree of freedom, df = 27 - 1 = 26

Using the relation for the confidence interval :

[s²(n - 1) / X²α/2, n-1] ; [s²(n - 1) / X²1-α/2, n-1]

From the chi distribition table :

X²α/2, n-1 = 41.923 ; X²1-α/2, n-1 = 13.844

Hence,

[34.34*26 / 41.923] ; [34.34*26 / 13.844]

[21.297 ; 64.493]

The 95% confidence interval for the population variance is :

21.297 < σ² < 64.493

Standard deviation is the square root of variance, hence,

The 95% confidence interval for the population standard deviation is :

4.615 < σ < 8.031

The population variance of 95% confidence interval is [tex]4.615<\sigma<8.031[/tex] and this can be determined by using the given data.

Given :

First, determine the degree of freedom.

[tex]df = 27-1=26[/tex]

The determine the confidence interval using the below formula:

[tex]\left(\dfrac{s^2(n-1)}{X^2_{\alpha/2,(n-1) }}\right);\left(\dfrac{s^2(n-1)}{X^2_{(1-\alpha)/2,(n-1) }}\right)[/tex]

Now, using the chi distribution the above expression becomes:

[tex]\left(\dfrac{34.34\times 26}{41.923 }}\right);\left(\dfrac{34.34\times 26}{13.844 }}\right)[/tex]

Simplify the above expression.

(21.297 ) ; (64.493)

So, the population variance of 95% confidence interval is:

[tex]\begin{aligned}\\21.297&<\sigma^2<64.493\\4.615&<\sigma<8.031\\\end{alingned}[/tex]

For more information, refer to the link given below:

https://brainly.com/question/7635845

Answer:

$290

Step-by-step explanation:

Because 7.25×40=290

Answer:

105

Step-by-step explanation:

0.2(x)=21

x=21/0.2

x=105

Answer:

c) 6× (9+8) = (6 × 9) + (6× 8)

Step-by-step explanation:

Distributive property of multiplication

The distributive property of multiplication

a(b+c) = a b + a c

(a+b)c = ac + bc

6× (9+8)  = (6× 9) + (6×8)

Answer:

60%

Step-by-step explanation:

Explanation:

To get percentages, take the part of a population that is being specified and divided that by the whole population and multiply that value by  

100

%

.

So there are  

30

people that own boxers, this is the specific population that is being compared to the whole dog-owning population, which is comprised of  

50

total families. So

30

50

can be reduced to  

3

5

and that gives us  

.6

When that value is multiplied by  

100

%

, it gives us our percentage of

.6

⋅

100

%

=

60

Answer:

d. 0.0047

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore 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 pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Population:

We have that [tex]\mu = 7.7, \sigma = 0.2[/tex]

Sample of 3:

[tex]n = 3, s = \frac{0.2}{\sqrt{3}} = 0.1155[/tex]

Which of the following represents the probability that the mean weight of a random sample of 3 olives from this population is greater than 8 grams?

This is 1 subtracted by the pvalue of Z when X = 8. So

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

By the Central Limit Theorem

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

[tex]Z = \frac{8 - 7.7}{0.1155}[/tex]

[tex]Z = 2.6[/tex]

[tex]Z = 2.6[/tex] has a pvalue of 0.9953

1 - 0.9953 = 0.0047

The probability is given by option d.

You can calculate the z score for the specified sample and then use the z tables to find the p value(probability) needed.

The probability that the mean weight of a random sample of 3 olives from this population is greater than 8 grams is given by

Option d : 0.0047

Suppose that the sample is of size 'n', then we have the z score(we are converting random variable X to standard random variable Z) as:

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

where [tex]\overline{x}[/tex] is mean of the sample

s is the standard deviation of the sample,

and we used the central limit theorem which says that a sample from a normally distributed population with [tex]mean = \mu[/tex] and standard deviation = [tex]\sigma[/tex] can have its mean approximated by population mean and its standard deviation approximated by [tex]s = \dfrac{\sigma}{\sqrt{n}}[/tex]

Let the weight of the the olives for the given crop of olives of a particular company for taken random sample is given by X (a random variable)

Then, we have:

[tex]X \sim N(7.7, 0.2)[/tex]

where

[tex]\mu = 7.7, \sigma = 0.2[/tex]

Thus, we have:

[tex]\overline{x} = \mu, s = \sigma/\sqrt{n} = 0.2/\sqrt{3}[/tex]

Using the given facts, we get the needed probability as:

[tex]P( X> 8)[/tex] sample size n  = 3)

Then, using the z score, we get):

[tex]P(X > 8) = 1 - P(X \leq 8) = 1 - P(Z \leq \dfrac{8 - 7.7}{0.2/\sqrt{3}})\\\\P(X > 8)=1- P(Z \leq \dfrac{0.3\sqrt{3}}{0.2}) = 1- P(Z \leq 1.5 \times \sqrt{3} )\\\\P(X > 8) = 1 - P(Z \leq 2.59) = 1- 0.9952 \approx 0.0047[/tex]

Thus,

The probability that the mean weight of a random sample of 3 olives from this population is greater than 8 grams is given by

Option d : 0.0047

Learn more about standard normal distribution here:

https://brainly.com/question/14989264

Answer:

b

Step-by-step explanation:

Answer:

The option B i.e.(1,6), (2,7),(4,9), (0,5) represents the function.

Step-by-step explanation:

We know that a function is a relation where each input or x-value of the X set has a unique y-value or output of the Y set.

In other words, we can not have duplicated inputs as there should be only 1 output for each input.

Checking option A:

(2, 4), (0, 2), (2, -4), (5,3)

Here, the input x = 2 is repeated twice.

Thus, option A does not represent the function as the input x = 2 is duplicated and we can not have duplicated inputs as there should be only 1 output for each input.

Checking option B:

(1,6), (2,7),(4,9), (0,5)

It is clear that no input value is repeated. In other words, each input or x-value of the X set has a unique y-value or output of the Y set.

Thus, the option B represents the function.

Checking option C:

(0, 2), (2, 3), (0, -2), (4,1)

Here, the input x = 0 is repeated twice.

Thus, option C does not represent the function as the input x = 0 is duplicated and we can not have duplicated inputs as there should be only 1 output for each input.

Checking option D:

(1, 2), (1, -2), (3, 2), (3, 4)

Here, the input x = 1 is repeated twice, and also x = 3 is repeated twice,

Thus, option D does not represent the function as we can not have duplicated inputs as there should be only 1 output for each input.

Conclusion:

The option B i.e.(1,6), (2,7),(4,9), (0,5) represents the function.

Answer:

4,000

Step-by-step explanation:

Answer:

D 18 percent

Step-by-step explanation:

So a percent s out of a hundred and you have 50 so it is more easy to double everything and make it a hundred

the equation should be 18 is what percent of 100 which is the same thing as 18/100

18 divided by 100 is .18

Answer:

The width of the rectangle = 1.15 inches

Step-by-step explanation:

Explanation:-

Given that the length of the rectangle = [tex]\frac{1}{2} inch[/tex]

The area of the rectangle = [tex]\frac{2.3}{4}[/tex] inch²

We have to find the width of the rectangle

The area of the rectangle = length × width

                                  [tex]\frac{2.3}{4} = \frac{1}{2} X width[/tex]

                    ⇒     2 × 2.3 = 4× width

                   ⇒      4.6 = 4 w

                  ⇒      w = 1.15 inches

Final answer:-

The width of the rectangle = 1.15 inches

9514 1404 393

Answer:

  360 cm³

Step-by-step explanation:

The volume is the product of the given dimensions:

  V = LWH

  V = (12 cm)(6 cm)(5 cm) = 360 cm³