Wendy has 5 and 1 over 3 feet of ribbon. How many 2 over 3 foot pieces can Wendy cut from the 5 and 1 over 3 feet of ribbon? Show your work.

Answer:

Yes, the confidence interval contradict this statement.

Step-by-step explanation:

The complete question is attached below.

The data provided is:

\(n_{1}=318\\n_{2}=297\\\bar x_{1}=25\\\bar x_{2}=24.1\\s_{1}=3.6\\s_{2}=3.8\)

Since the population standard deviations are not provided, we will use the t-confidence interval,

\(CI=(\bar x_{1}-\bar x_{2})\pm t_{\alpha/2, (n_{1}+n_{2}-2)}\cdot s_{p}\cdot\sqrt{\frac{1}{n_{1}}+\frac{1}{n_{2}}}\)

Compute the pooled standard deviation as follows:

\(s_{p}=\sqrt{\frac{(n_{1}-1)s_{1}^{2}+(n_{2}-1)s_{2}^{2}}{n_{1}+n_{2}-2}}=\sqrt{\frac{(318-1)(3.6)^{2}+(297-1)(3.8)^{2}}{318+297-2}}=2.9723\)

The critical value is:

\(t_{\alpha/2, (n_{1}+n_{2}-2)}=t_{0.05/2, (318+297-2)}=t_{0.025, 613}=1.962\)

*Use a t-table.

The 95% confidence interval is:

\(CI=(\bar x_{1}-\bar x_{2})\pm t_{\alpha/2, (n_{1}+n_{2}-2)}\cdot s_{p}\cdot\sqrt{\frac{1}{n_{1}}+\frac{1}{n_{2}}}\)

     \(=(25-24.1)\pm 1.962\times 2.9723\times \sqrt{\frac{1}{318}+\frac{1}{297}}\\\\=0.90\pm 0.471\\\\=(0.429, 1.371)\\\\\approx (0.43, 1.37)\)

The 95% confidence interval for the difference between the mean weights is (0.43, 1.37).

To test the magazine's claim the hypothesis can be defined as follows:

H₀: There is no difference between the mean weight of 1-year old boys and girls, i.e. \(\mu_{1}-\mu_{2}=0\).

Hₐ: There is a significant difference between the mean weight of 1-year old boys and girls, i.e. \(\mu_{1}-\mu_{2}\neq 0\).

Decision rule:

If the confidence interval does not consists of the null value, i.e. 0, the null hypothesis will be rejected.

The 95% confidence interval for the difference between the mean weights does not consists the value 0.

Thus, the null hypothesis will be rejected.

Conclusion:

There is a significant difference between the mean weight of 1-year old boys and 1-year old girls.

Area of parallelogram to 2 significant figure is,

= 28 cm²

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

Parallelogram with 2 given sides, 4cm and 7cm respectively, and angle between them = 100°

Required:

Area of the parallelogram to 2 significant figure.

Since,

Area of the parallelogram = ab sin(θ)

Here, a = 4cm

b = 7 cm

θ = 100°

Hence, We get;

Area of parallelogram = 4 x 7 x sin(100)

Area = 28 x 0.9848

Area = 27.57

Thus, Area of parallelogram to 2 significant figure is,

= 28 cm²

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Answer:

0,3+3,10

Step-by-step explanation:

Answer:

x=6

Step-by-step explanation:

x-7=-1 add -1 to other side of the equation

x-6=0 add six to the zero

x=6

Answer:

90 cubes.

Step-by-step explanation:

First we find volume of the cuboid.

Volume = l x b x h = 20 x 18 x 16 = 5760 cm³

Now,

Volume of a single cube = l³ = 4³ = 64

No of cubes that can be cut out from the cuboid is

= Volume of cuboid/ volume of cube

= 5760/ 64

= 90 cubes

Answer:

the answer is 2 :)

have a good day !!

Step-by-step explanation:

Answer:

i think point c GL

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

The transformations that map the strip pattern onto itself is a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°. Option A is the correct option.

Here, we have,

the conditions for mapping the strip transformation pattern onto itself:

The strip pattern can be mapped onto itself in two different ways.

The first way is to translate the strip pattern horizontally and then rotate it by 180° degrees.

The second way is to reflect the strip pattern across a vertical line.

Hence, the transformations that map the strip pattern onto itself can be achieved through a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°.

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complete question:

Which transformations map the strip pattern onto itself?

a horizontal translation, a reflection across a vertical line, a reflection across a horizontal line, a glide reflection, and a 180°

a horizontal translation only

a horizontal translation, a reflection across a horizontal line, and a glide reflection only

a horizontal translation and a 180° rotation only

The transformations to the parent function f(x) = x² to generate g(x) = 2x² - 4 are given as follows:

A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.

The four translation rules for functions are defined as follows:

The transformations to the parent function in this problem are given as follows:

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Answer:

180

Step-by-step explanation:

The area of a parallelogram is given by the formula A = b × h, where b is the base and h is the height. In this case, the base is 10 and the height is 18. Therefore, the area is:

A=10×18

A=180

The area of the parallelogram is 180 square units

Answer:

Step-by-step explanation:

The length of roadways in a small country is 9.13 × 10^4 kilometers. We are to find the approximate length of these roadways in kilometers written in standard form. The approximate length of the​ roadways, written in standard​ form, is 91,300.

Standard form is the way numbers are usually written, as an example, a number like 13.8 × 10^3 would be written as 13800.​In order to convert the number in scientific notation to standard​ form, we first need to know the number that the exponent is referring to .For the given number, the exponent refers to 10.​Thus, to convert this number from scientific notation to standard form, we need to multiply 9.13 by 10, 4 times.9.13 × 10^4 = 91,300. Therefore, the approximate length of the​ roadways, written in standard​ form, is 91,300.

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       The equation representing the relationship between Electricity and  Gas used, and your Bill is:

      T  =  0.25 * k + 0.97 * t

        Make a plan:

We need to find the equation that represents the relationship between the total monthly bill (T), The Kilowatt Hours of Electricity used (k), and the Terms of Gas used (t).

T  =  0.25  *  k  +  0.97  *  t

1 - Write the Equation for the cost of Electricity:

        0.25 * k

2 - Write the Equation for the Cost of Gas:

       0.97 * t

3 - Combine the Equations to Represent the total Monthly Bill (T):

       T  =  0.25 * k + 0.97 * t

Hence,  The equation representing the relationship between Electricity and  Gas used, and your Bill is:

       T  =  0.25 * k + 0.97 * t

I hope that helps!

The value of the logarithm of 0.81 for logarithm properties is equal to - 0.1.

Herein we must use logarithm properties to simplify a given logarithm and solve the resulting expression. The properties to be used in this question are described below:

㏒ (a / b) = ㏒ a - ㏒ b

㏒ aᵇ = b · ㏒ a

First, write the logarithmic equation:

㏒ 0.81

㏒ 81 / 100

Second, use the logarithmic property for a division:

㏒ 81 - ㏒ 100

Third, use the logarithmic property for a power:

㏒ 3⁴ - ㏒ 10²

4 · ㏒ 3 - 2 · ㏒ 10

4 · ㏒ 3 - 2

4 · 0.477 - 2

- 0.092

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Answer:

9 scoops

Step-by-step explanation:

(4 1/2)/(1/2) = 9/2 x 2/1 = 18/2 = 9 scoops

Answer:

h= 9 in

Step-by-step explanation:

A=1/2bh

54=1/2 (12) a

54= (6) a

divide by 6

9= a

Answer:

the graph has the largest slope. the slope is 5/2

Step-by-step explanation:

the slope of y=2x+4 is 2.

to get the slope of the table, see how much x increases and how much y increases. in this case, as x increases by 1, y also increases by 1, so the slope is 1.

to get the slope of the graph, find two or three points with whole numbers as both the x and y values. we can use (0, 2) and (2, 7). we can either make another table to see how the x and y values increase or look at the line and see how the line rises and runs. in this case, as x increases by 2, y increases by 5. the y value shows rise and the x value shows run, so we can write the slope as 5/2. we can see how the line rises by 5 and goes 2 units to the right. this gets the same slope as before.

1<2<5/2, so the graph has the largest slope.

Therefore ,the answer of this integration problem comes out to be  4/9.

To describe notions like displacement, area, volume, and other results of the combination of incredibly small inputs, an integral in mathematics imparts numerical values to functions. Integration is a method used in the process of integral discovery.

Here,

Given :

=>  \(\int\limits^9_7 {\frac{14}{(x-8)^{2} } } \, dx\)

=> substitute x- 8 =u

=>du/dt =d(x-8)/dx = 1

=>du/dt =1

=> \(\int\limits^9_7 14{\frac{1}{(x-8)^{2} } } \, dx\)

Substituting x- 8 =u

=> \(\int\limits^9_7 14{\frac{1}{(u)^{2} } } \, dx\)

=> 14 [ \(\left \{ {{9} \atop {7}} \right. (\frac{-1}{u} )\)  ]

=> 14( -1/9) + 1/7)

=> 14   ( ( 9 -7 ) / 63 )

=> 14 (2/63)

=> 28/63

=>4/9

Therefore ,the answer of this integration problem comes out to be  4/9.

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Answer:

1/2=10

Step-by-step explanation:

it depends upon the area of the triwngle

Floyd needs 33 matches to make a rectangle with a length of 20 matches.

To find out how many matches Floyd needs to make a rectangle with a length of 20 matches, we can observe a pattern in the given information.

From the given data, we can see that as the length of the rectangle increases by 4 matches, the number of matches used increases by 8. This means that for every additional 4 matches in length, Floyd requires 8 more matches.

Using this pattern, we can calculate the number of matches needed for a rectangle with a length of 20 matches.

First, we need to determine the number of 4-match increments in the length of 20 matches. We can do this by subtracting the starting length of 3 matches from the target length of 20 matches, which gives us 20 - 3 = 17.

Next, we divide the number of 4-match increments by 4 to determine how many times Floyd needs to add 4 matches. In this case, 17 ÷ 4 = 4 with a remainder of 1.

Since Floyd requires 8 matches for each 4-match increment, we multiply the number of increments by 8, which gives us 4 × 8 = 32 matches.

Finally, we add the remaining matches (1 match in this case) to the total, resulting in 32 + 1 = 33 matches needed to reach a length of 20 matches.

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Answer:

being blind

Step-by-step explanation:

if you are blind you can not see your self so there for you are invisable

Answer:

Have you tried to put a profile picture that's bold and bright? and not white and blank? maybe it's because its a brainly techno error

Step-by-step explanation:

Answer:

Hello! answer: 35

Step-by-step explanation:

If they can hold 40 on each shelve we can do 40 × 3 and 40 × 3 = 120 then just subtract by 85 to find how many the shelves can hold! So 120 - 85 = 35 so 35 is the answer Hope that helps!

Answer:

3/1

Step-by-step explanation:

the slope formula is y2-y1/x2-x1

so this would be -9- -10/7-4

since it's a negative minus a negative, it turns into a plus so the final equation would be -9+10/7-4

the final answer would be 3/1, or just 3 :) hope this helps

Answer:

Slope = \(\frac{1}{3}\)

Step-by-step explanation:

( 4, -10 )

( 7, -9  )

Slope formula = \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)

\(\frac{-9 - ( -10 )}{7 - 4}\) = \(\frac{-9 + 10}{7-4}\)

\(\frac{1}{3}\)

Slope = \(\frac{1}{3}\)

First plan cost is modeled as:

50 + 0.15x

where x are the miles driven

Second plan cost is modeled as:

59 + 0.11x

If the two plans cost the same, then:

50 + 0.15x = 59 + 0.11x

0.15x - 0.11x = 59 - 50

0.04x = 9

x = 9/0.04

x = 225 miles

which corresponds to a cost of:

50 + 0.15*225 = $83.75

Answer:

95%

Step-by-step explanation:

We have the following information:

n = 25, p-value = 0.0667

Besides that H0 is not rejected.

With this information we can affirm that the highest possible significance level you can have is 95%

Because alpha = 0.05

We reached this conclusion thanks to the fact that:

p-value> 0.05 hence we do reject the null hypothesis

It is important to note that this equation assumes a constant density of seawater, which is not always the case in the deep ocean. In addition, the pressure at a given depth can vary depending on factors such as temperature and salinity. This equation should be used with caution and in conjunction with other measurements and data analysis techniques.

The given equation for pressure in pounds per square foot at a depth of d feet is P = 14 + 4d/9. We are given that the pressure measured by the scientific team is 306 pounds per square foot. To find the depth at which this pressure is measured, we need to solve the equation for d.

Substituting P = 306 in the equation, we get:

306 = 14 + 4d/9

Multiplying both sides by 9, we get:

2754 = 126 + 4d

Subtracting 126 from both sides, we get:

2628 = 4d

Dividing both sides by 4, we get:

d = 657 feet

The scientific team is measuring the pressure at a depth of 657 feet below the surface of the ocean.

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