Joseph is buying tomato seed packets and cucumber seed packets at the store. He plans to buy 7 seed packets of EACH type of plant. Cucumber seed packets cost $1.89 each. Joseph spends a total of $23.24 on all the seed packets. Which of the following equations can be used to find how much each tomato seed packet (t) costs?

Answer:

The 95% t-confidence interval for the difference in mean is approximately (-2.61, 1.16), therefore, there is not enough statistical evidence to show that there is a change in waiting time, therefore;

The change in the call waiting time is not statistically significant

Step-by-step explanation:

The given call waiting times are;

24.16, 20.17, 14.60, 19.79, 20.02, 14.60, 21.84, 21.45, 16.23, 19.60, 17.64, 16.53, 17.93, 22.81, 18.05, 16.36, 15.16, 19.24, 18.84, 20.77

19.81, 18.39, 24.34, 22.63, 20.20, 23.35, 16.21, 21.73, 17.18, 18.98, 19.35, 18.41, 20.57, 13.00, 17.25, 21.32, 23.29, 22.09, 12.88, 19.27

From the data we have;

The mean waiting time before the downsize, [tex]\overline x_1[/tex] = 18.7895

The mean waiting time before the downsize, s₁ = 2.705152

The sample size for the before the downsize, n₁ = 20

The mean waiting time after the downsize, [tex]\overline x_2[/tex] = 19.5125

The mean waiting time after the downsize, s₂ = 3.155945

The sample size for the after the downsize, n₂ = 20

The degrees of freedom, df = n₁ + n₂ - 2 = 20 + 20  - 2 = 38

df = 38

At 95% significance level, using a graphing calculator, we have; [tex]t_{\alpha /2}[/tex] = ±2.026192

The t-confidence interval is given as follows;

[tex]\left (\bar{x}_{1}- \bar{x}_{2} \right )\pm t_{\alpha /2}\sqrt{\dfrac{s_{1}^{2}}{n_{1}}+\dfrac{s_{2}^{2}}{n_{2}}}[/tex]

Therefore;

[tex]\left (18.7895- 19.5152 \right )\pm 2.026192 \times \sqrt{\dfrac{2.705152^{2}}{20}+\dfrac{3.155945^2}{20}}[/tex]

(18.7895 - 19.5125) - 2.026192*(2.705152²/20 + 3.155945²/20)^(0.5)

The 95% CI = -2.6063 < μ₂ - μ₁ < 1.16025996668

By approximation, we have;

The 95% CI = -2.61 < μ₂ - μ₁ < 1.16

Given that the 95% confidence interval ranges from a positive to a negative value, we are 95% sure that the confidence interval includes '0', therefore, there is sufficient evidence that there is no difference between the two means, and the change in call waiting time is not statistically significant.

Answer:

19

Step-by-step explanation:

|-8 -11|=19

Answer:

3

Step-by-step explanation:

when you have 2 negitives it makes a positive which cancelles it out and it equals 3

Answer:

The 95% confidence interval for the population mean mileage is

(27.917, 29.593)

The 98% confidence interval for the population mean mileage

(27.737, 29.762)

Step-by-step explanation:

Step(i):-

Given that the random sample size 'n' = 64

Given that the mean of sample x⁻ = 28.75miles

Given that the standard deviation of the sample (S) = 3.4 miles

Degrees of freedom = n-1 = 64-1 =63

t₀.₀₅ = 1.9983

Step(ii):-

95% confidence interval for the population mean mileage is determined by

[tex](x^{-} - t_{0.05} \frac{S}{\sqrt{n} } , x^{-} + t_{0.05} \frac{S}{\sqrt{n} })[/tex]

[tex](28.75-1.99\frac{3.4}{\sqrt{64} },28.75 + 1.99 \frac{3.4}{\sqrt{64} } )[/tex]

(28.75 - 0.845 , 28.75 + 0.845)

(27.917 , 29.593)

Step(iii):-

98% confidence interval for the population mean mileage is determined by

[tex](x^{-} - t_{0.02} \frac{S}{\sqrt{n} } , x^{-} + t_{0.02} \frac{S}{\sqrt{n} })[/tex]

[tex](28.75-2.3824\frac{3.4}{\sqrt{64} },28.75 + 2.3824 \frac{3.4}{\sqrt{64} } )[/tex]

(28.75 - 1.01252 , 28.75 + 1.01252)

(27.737 , 29.762)

Final answer:-

98% confidence interval for the population mean mileage is

(27.737 , 29.762)

Answer:

The answer is "Parameter: 8 ounces and  Statistics: 7.6 ounces"

Step-by-step

Amount of restaurant hamburger packers = 200

Mean weight of its patties = 8 ounces

Specification Patty Deviation=0.54 ounces

Those who went to the supermarket and bought five hamburgers picked randomly.

The important weight of hamburgers  = 7.6 ounces 

For this case, we need to classify the sample population and test statistics.

The group comprises all elements that may probably be predefined, while a small number of findings from this wider group are taken from either the sample. The restaurants achieved a list of 200 hamburgers. Consequently, the population is made up of 200 patties. From 200 hamburgers accessible, I visit the shop or pick 5 hamburgers. So, five hamburgers arbitrarily selected are samples.

parameters:

The parameter is known for just about any value or metric representing or reflecting the entire nation. They know from the information that the average weight of 200 burger patties is eight pounds. Because as mean(center) of a whole population is 8 ounces, this is a parameter.

Statistics:

The statistic is any quality or measure defining or representing its specimen. We purchased 5 randomly selected hamburgers, which meant 7.6 ounces for mean weight. 7.6 is a statistic, thus.

Answer:

I only know the first question, If you leave that money for 1 year it would equal $480 basically,  $300 x 1.6 = $480.

Step-by-step explanation:

The required amount in your account after 2 years will be $337.08.

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Here,
If you deposit $300 in an account with a 6% interest rate, the amount in your account after 1 year can be calculated as follows:

Find the interest earned after one year:

Interest earned = (6/100) x 300 = $18

Add the interest earned to the original amount:

Total amount after 1 year = $300 + $18 = $318

Therefore, the amount in your account after 1 year will be $318.

If you leave this money in the account for another year, the amount in your account after 2 years can be calculated as follows:

Find the interest earned after two years:

Interest earned in year 1 = $18

Interest earned in year 2 = (6/100) x $318 = $19.08

Add the interest earned to the original amount and the interest earned in year 1:

Total amount after 2 years = $300 + $18 + $19.08 = $337.08

Therefore, the amount in your account after 2 years will be $337.08.

Learn more about compound interest here: https://brainly.com/question/14295570
#SPJ7

Answer:

8 yogurts or it will be 1 yogurt

Step-by-step explanation:

Since practically you cannot purchase "0.57" parts of one yogurt 3 pounds (300 p) would allow you to purchase only 8 yogurts...

Answer:

2

Step-by-step explanation:

Answer:

28% of 250 is 70

Step-by-step explanation:

If you turn 28% into a decimal it will turn into 0.28 so then multiply that by 250 and you'll get 70

The answer is 70.......

Answer:

7.14cm

Step-by-step explanation:

Answer:

Number of curry buns is 16.

Step-by-step explanation:

Total number of buns =40.

Ratio of number of raisin buns to the number of butter buns to the number of curry buns = 7:5:8

Let number of raisin buns = 7X.

Let number of butter buns =5X.

Let number of curry buns = 8X.

Therefore,

7X+5X+8X = 40

20X = 40

X= (40/20) = 2.

Therefore number of curry buns =8X = 8×2 =16.

Answer:

x=16°

Step-by-step explanation:

tanθ=opposite/adjacent

tan(<CAB)=BC/AB

<CAB=tan⁻¹(21/29)=35.9097308°

tanθ=opposite/adjacent

tan(<DAB)=BD/AB

<DAB=tan⁻¹((21/2)/29)=19.90374954°

<CAB=<DAB+x

x=<CAB-<DAB

=35.9097308-19.90374954

x=16.00598126°

Answer:

All triangles add up to 180 degrees so...

180 - 43 - 59 = 78 degrees.

So x - 78 degrees.

x and y are supplementary angles so...

180 - 78 = 102.

So y = 102.

180 - 102 - 49 = 29 degrees

So z = 29 degrees

Hope this helps!

Answer:

C.

Step-by-step explanation:

Hope this helps! have a great day!

Answer: 2, 1.5 , -0.75

(b) [tex]4x-3y-10=0[/tex]

Step-by-step explanation:

Given

line is [tex]3x+4y-6=0[/tex]

Converting it into intercept form

[tex]\Rightarrow 3x+4y=6\\\\\Rightarrow \dfrac{3x}{6}+\dfrac{4y}{6}=\dfrac{6}{6}\\\\\Rightarrow \dfrac{x}{2}+\dfrac{y}{1.5}=1[/tex]

So, the x-intercept is [tex]2[/tex] and y-intercept is [tex]1.5[/tex]

The slope is given by

[tex]-\dfrac{\frac{1}{2}}{\frac{1}{1.5}}=-0.75[/tex]

(b) the line perpendicular to the above line and passing through [tex](1,-2)[/tex]

The slope of the required line

[tex]m=-\dfrac{1}{-0.75}\\\\m=\dfrac{4}{3}[/tex]

Equation of the line is given by

[tex]\Rightarrow \dfrac{y-(-2)}{x-1}=\dfrac{4}{3}\\\\\Rightarrow 3y+6=4x-4\\\Rightarrow 4x-3y-10=0[/tex]

9514 1404 393

Answer:

  y = 9(3^x)

Step-by-step explanation:

We assume you want a function in the form ...

  y = a(b^x)

that passes through points (0, 9) and (5, 2187).

Filling in the given point values, we have ...

  9 = a(b^0) = a

  2187 = a(b^5) = 9(b^5) . . . . using the above value of 'a'

Dividing the second equation by 9 and taking the 5th root, we find b.

  (2187/9) = b^5

  243^(1/5) = b = 3

The exponential function is ...

  y = 9(3^x)

Answer:

x^4

Step-by-step explanation:

any variable when multiplied by the same variable will result in the exponent to increase.

Answer:

i have made it in above picture

hope it helps

Answer:

where is the figure? to calculate the surface area

Answer:

Section 2

Step-by-step explanation:

I will pick the section with the largest angle.

Let's determine the size of the angle of each section.

Given:

m∠ABD = 2x+3,

m∠CBD = 4x+7,

m∠ABC = 40°

Thus:

m<ABD + m<CBD = m<ABC (angle addition postulate)

Substitute

2x + 3 + 4x + 7 = 40

Add like terms

6x + 10 = 40

6x + 10 - 10 = 40 - 10

6x = 30

6x/6 = 30/6

x = 5

✔️m∠ABD = 2x+3

Plug in the value of x

m<ABD = 2(5) + 3 = 13° (section 1)

✔️m∠CBD = 4x+7

m∠CBD = 4(5) + 7

m∠CBD = 27° (section 2)

✅I will pick section 2 because it is the section with the largest angle, which means it is the biggest.

Answer:

The answer is D.

Answer:

i think the question is incomplete but

Tina at an average contains each package of

50 sheets ÷ 8 pack

6.205 of sheet in each pack

125 sheets ÷ 3 packs

caz contain at average 41.60 sheet average

but where the juan packs of paper that's why question is incomplete

Answer:

Randy's ball is 904.78 larger than Mandy's.

Step-by-step explanation:

Using math, we find that Mandy's ball is 904.78 inches in volume and if Randy's is twice the size that's, 904.78 x 2 = 1809.56. so Randy's ball is 904.78 larger than Mandy's

Answer:

The answer would be 792

Step-by-step explanation:

Lateral surface area for this objects formula is 2lh + 2lb because of its rectangular prism shape.

Answer:

9.  [tex] \frac{1}{10,000} = 0.0001 [/tex]

10. [tex] \frac{1}{81} [/tex]

Step-by-step explanation:

9. [tex] x^{-4} [/tex]

Evaluate when x = 10.

Substitute x = 10 into the expression

[tex] 10^{-4} [/tex]

Apply the negative exponent rule ([tex] a^{-n} = \frac{1}{a^n} [/tex])

Thus:

[tex] = \frac{1}{10^4} [/tex]

[tex] = \frac{1}{10^4} = \frac{1}{10,000} = 0.0001 [/tex]

10. [tex] 2a^{-1}b^{-3} [/tex]

Evaluate when a = 6 and b = 3

Substitute

[tex] (2*6^{-1})(3^{-3}) [/tex]

Apply the negative exponent rule

[tex] (2*\frac{1}{6})(\frac{1}{3^3}) [/tex]

[tex] (\frac{2}{6})(\frac{1}{27}) [/tex]

[tex] \frac{2*1}{6*27} [/tex]

[tex] \frac{1}{81} [/tex]

[tex]\huge{ \mathfrak{  \underline{ Answer }\:  \:  ✓ }}[/tex]

plugging the value of x as 10, we get

[tex]\longrightarrow\: \: x {}^{ - 4} [/tex]

[tex]\longrightarrow\: 10 {}^{ - 4} [/tex]

[tex]\longrightarrow \dfrac{1}{10 {}^{4} } [/tex]

[tex] \longrightarrow\dfrac{1}{10000} [/tex]

[tex]\longrightarrow0.0001[/tex]

plugging the value of

[tex]\longrightarrow2 {a}^{ - 1} b {}^{ - 3} [/tex]

[tex]\longrightarrow2 \times 6 {}^{ - 1} \times 3 {}^{ - 3} [/tex]

[tex]\longrightarrow \dfrac{2}{6 \times 27} [/tex]

[tex]\longrightarrow \dfrac{2}{162} [/tex]

[tex]\longrightarrow \dfrac{1}{81} [/tex]

_____________________________

[tex] \\ \\ \mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Answer:

d)

Step-by-step explanation:

Equation of circle with center at point (h, k) and radius, r.

[tex] (x - h)^2 + (y - k)^2 = r^2 [/tex]

This problem:

(x − A)^2 + (y − B)^2 = C

The center is (A, B).

The radius is sqrt(C).

Answer: d)

Answer: 60 test tubes

Step-by-step explanation: 41.4/60 = 0.69

Answer:

letter A because it's representing 100% plus some so it is increasing.