Please answer I’m in a hurry :))

Answer:

\(\frac{}{d}\) = −0.26

\(s_{d}\) = 0.4219

Step-by-step explanation:

Given:

Sample1:  98.1  98.8  97.3  97.5  97.9

Sample2: 98.7  99.4  97.7  97.1  98.0

Sample 1           Sample 2              Difference d

98.1                        98.7                       -0.6  

98.8                       99.4                       -0.6

97.3                        97.7                       -0.4

97.5                        97.1                         0.4

97.9                        98.0                       -0.1

To find:

Find the values of \(\frac{}{d}\) and \(s_{d}\)

d overbar ( \(\frac{}{d}\))  is the sample mean of the differences which is calculated by dividing the sum of all the values of difference d with the number of values i.e. n = 5

\(\frac{}{d}\) = ∑d/n

 = (−0.6 −0.6 −0.4 +0.4 −0.1) / 5

 = −1.3 / 5

\(\frac{}{d}\) = −0.26

s Subscript d is the sample standard deviation of the difference which is calculated as following:

\(s_{d}\) = √∑(\(d_{i}\) - \(\frac{}{d}\))²/ n-1

\(s_{d}\) =

√ \((-0.6 - (-0.26))^{2} + (-0.6 - (-0.26))^{2} + (-0.4 - (-0.26))^{2} + (0.4-(-0.26))^{2} + (-0.1 - (-0.26))^{2} / 5-1\)

    =  √ (−0.6 − (−0.26 ))² + (−0.6 − (−0.26))² + (−0.4 − (−0.26))² + (0.4 −  

                                                                     (−0.26))² + (−0.1 − (−0.26))² / 5−1

=  \(\sqrt{\frac{0.1156 + 0.1156 + 0.0196 + 0.4356 + 0.0256}{4} }\)

= \(\sqrt{\frac{0.712}{4} }\)

= \(\sqrt{0.178}\)

= 0.4219

\(s_{d}\) = 0.4219

Subscript d ​represent

μ\(_{d}\) represents the mean of differences in body temperatures measured at 8 AM and at 12 AM of population.

Answer:

990 sdjsd lskdnkuwqvdkh1wbd kkk era bromius kiki

Person's diastolic blood pressure at 6:00am is  94.5 mmHg.

Diastolic blood pressure is the lower number in a blood pressure reading. It indicates the pressure in the arteries when the heart muscle is resting between beats and refilling with blood. A normal diastolic blood pressure is between 80 and 90 mmHg (millimeters of mercury).

For example, if a person's blood pressure reading is 120/80 mmHg, the diastolic blood pressure is 80 mmHg. This means that the pressure in the arteries when the heart is at rest is 80 mmHg. High diastolic blood pressure (greater than 90 mmHg) is a risk factor for heart attack, stroke, and other cardiovascular problems.

The formula for diastolic blood pressure at time t is given by B(t) = 90 + 9 sin(t/12). To find the diastolic blood pressure at 6:00am, need to plug in t = 6 into the formula.

B(6) = 90 + 9 sin(6/12) = 90 + 9 sin(0.5) = 90 + 9(0.4794) = 94.5 mmHg.

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To find the value of Az in the geometric sequence, we can use the given information. The geometric sequence is represented as follows: A3, 60, 160, 06 = 9.

From this, we can see that the third term (A3) is 60 and the common ratio (r) is 160/60.

To find Az, we need to determine the value of the nth term in the sequence. In this case, we are looking for the term with the value 9.

We can use the formula for the nth term of a geometric sequence:

An = A1 * r^(n-1)

In this formula, An represents the nth term, A1 is the first term, r is the common ratio, and n is the position of the term we are trying to find.

Since we know A3 and the common ratio, we can substitute these values into the formula:

60 =\(A1 * (160/60)^(3-1)\)

Simplifying this equation, we have:

\(60 = A1 * (8/3)^260 = A1 * (64/9)\)

To isolate A1, we divide both sides of the equation by (64/9):

A1 = 60 / (64/9)

Simplifying further, we have:

A1 = 540/64 = 67.5/8.

Therefore, the first term of the sequence (A1) is 67.5/8.

Now that we know A1 and the common ratio, we can find Az using the formula:

Az = A1 * r^(z-1)

Substituting the values, we have:

Az =\((67.5/8) * (160/60)^(z-1)\)

However, we now have the formula to calculate it once we know the position z in the sequence.

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The total area of the composite figure which has triangle and rectangle is  24.41 square inches

The given composite figure has two triangles and one rectangle

Area of rectangle =length × width

=4.6×3.15

=14.49 square inches

Area of left side triangle, it has base of 3.3 in and height 3.15 inches

Area of triangle = 1/2×3.3×3.15

=5.1975 square inches

Area of triangle on right side

Base = 3 in

Height = 6.3-3.15=3.15 in

Area of triangle = 1/2×3×3.15

=4.725 square inches

Total area = 14.49 + 5.1975  + 4.725

=24.41 square inches

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The regression equation is Y = 95.0 + 0.84X.The regression line is a mathematical model that is used to predict the value of a dependent variable (Y) based on the value of an independent variable (X).

In this case, the regression line is used to predict Y from X using the following data: X = 10, 20, 30, 40, 50, 60 and Y = 111, 109, 110, 94, 92, 93. By using a regression analysis tool such as StatKey, we can calculate the regression equation that best fits this data. The regression equation is Y = 95.0 + 0.84X, where 95.0 is the intercept and 0.84 is the slope. This equation can be used to make predictions about the value of Y for a given value of X. The rounded answer for the intercept is 95.0 and the rounded answer for the slope is 0.84.

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Answer:

Step-by-step explanation:

The first friend would get $60,000

The second friend would get $15,000

The third friend would get $30,000

Answer:

y=3x

Step-by-step explanation:

Answer:

Well its basically 3 x 4 = 12, so for every lamb add four legs until you get to three

Step-by-step explanation:

Answer:

\(v=5\)

Explanation:

The equation is asking for multiplication (13 * v), and the opposite of multiplication is division. So if we divide 65 by 13, we find 5.

13 * 5 = 65

Answer:

v = -5

Step-by-step explanation:

1. Pull out like factors :

  -13v - 65  =   -13 • (v + 5)

2. Solve :    -13   =  0

This equation has no solution.

A a non-zero constant never equals zero.

3. Solve  :    v+5 = 0

Subtract  5  from both sides of the equation :

                     v = -5

The correct options are sample more families, sample families having children who are not in seventh grade.

Sample families that do not have children. Sample families living in every third house in neighborhood.

To increase the validity of the results of Kai's survey, he could make the following improvements to his sample:

Sample more families: Increasing the sample size would make the results more representative of the neighborhood as a whole, reducing the impact of random variation and making the estimates more precise.

Sample families that have children who are not in seventh grade: This would make the sample more diverse and representative of families with children of different ages.

Sample families that do not have children: Including families without children would make the sample more diverse and representative of the entire neighborhood.

Sample families living in every third house in the neighborhood: This would help to ensure that the sample is geographically representative of the neighborhood, reducing the chance of

sampling bias.

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When csc(\(\theta\)) = 13/9 and 0 < theta < 90, the exact value of sin(\(\theta\)) is 9/13.

To find the exact value of sin(\(\theta\)) given that csc(\(\theta\)) = 13/9 and 0 < \(\theta\) < 90 degrees, we can use the reciprocal relationship between csc(\(\theta\)) and sin(\(\theta\)).

The reciprocal of csc(\(\theta\)) is sin(\(\theta\)), so sin(\(\theta\)) = 1 / csc(\(\theta\)). Therefore, sin(\(\theta\)) = 1 / (13/9).

To simplify the expression, we can multiply the numerator and denominator of 1 / (13/9) by the reciprocal of 13/9, which is 9/13:

sin(\(\theta\)) = (1 / (13/9)) * (9/13)

Multiplying the fractions, we get:

sin(\(\theta\)) = 9 / 13

Hence, the exact value of sin(\(\theta\)) is 9/13.

Since the value of csc(\(\theta\)) is positive (13/9) and \(\theta\) is in the first quadrant (0 < \(\theta\) < 90), we know that sin(\(\theta\)) is also positive. This confirms that sin(\(\theta\)) = 9/13 is the correct value.

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Answer:

perimeter: 8x + 3 + 8x + 3 + 5 + 5=16x + 16

Area: 5(8x+3)=40x+15

Answer:

i think its 1/3 sorry if im wrong

As per the unitary method, there are 10 chairs and there are 2 tables.

In math the term called unitary method is known as  a process of finding the value of a single unit, and based on this value we can find the value of the required number of units.

Here we have given that tom and jerry have one day to work, but two tasks to focus on building chairs and tables.

Here we also know that  if tom spends all day building chairs, then he will make 16 chairs.

And if he instead devotes his day to building tables, then tom will make 4 tables.

Where as if jerry spends his day building chairs, then he will make 14 chairs on the other hand if he spends the day building tables, then he will make 7 tables.

Based on the given details, here by using the unitary method, for one day, he will product 10 chairs and 2 tables.

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Answer:

The  Decision Rule

Fail to reject the null hypothesis

The conclusion

 There is no sufficient evidence to support the claim that the mean age of the cars is greater than that of taxi

Step-by-step explanation:

From the question we are told that

   The data is  

      Car Ages 4 0 8 11 14 3 4 4 3 5 8 3 3 7 4 6 6 1 8 2 15 11 4 1 6 1 8

     Taxi Ages 8 8 0 3 8 4 3 3 6 11 7 7 6 9 5 10 8 4 3 4

      The  level of significance \(\alpha = 0.05\)

 Generally the null hypothesis  is  \(H_o  :  \mu_1 - \mu_2  = 0\)

                  the alternative hypothesis is   \(H_a  :  \mu_1 - \mu_2 >  0\)

Generally the sample mean for the age of  cars is mathematically represented as

        \(\= x_1 = \frac{\sum x_i }{n}\)

=>     \(\= x_1 = \frac{4+ 0+ 8 +11 + \cdots + 8 }{27}\)

=>     \(\= x_1 = 5.56\)

Generally the standard deviation of age of  cars

     \(\sigma _1  = \sqrt{\frac{\sum (x_i - \= x)^2}{n_1} }\)

=>  \(\sigma _1  = \sqrt{\frac{(4 - 5.56)^2 + (0 - 5.56)^2+ (8 - 5.56)^2 + \cdots + 8}{ 27} }\)

=>  \(\sigma _1  =  3.88 \)

Generally the sample mean for the age of taxi is mathematically represented as

        \(\= x_2 = \frac{\sum x_i }{n}\)

=>     \(\= x_2 = \frac{8 +8 +0  + \cdots + 4 }{20}\)

=>     \(\= x_2 = 5.85 \)

Generally the standard deviation of age of  taxi

\(\sigma _2  = \sqrt{\frac{\sum (x_i - \= x)^2}{n_1} }\)

=>  \(\sigma _2  = \sqrt{\frac{(8 - 5.85)^2 + (8 - 5.85)^2+ (0 - 5.85)^2 + \cdots + 8}{ 20} }\)

=>  \(\sigma _2  = 2.83 \)

Generally the test statistics is mathematically represented as

   \(t = \frac{(\= x_ 1 - \= x_2 ) - 0}{\sqrt{\frac{\sigma^2_1}{n_1}  + \frac{\sigma^2_2}{n_2} }  }\)

=> \(t = \frac{(5.56 - 5.85 ) - 0}{\sqrt{\frac{(3.88)^2}{27}  + \frac{(2.83)}{20} }}\)  

=> \(t = -0.30 \)  

Generally the degree of freedom is mathematically  represented as

   \(df =  n_1 + n_2 -2\)

    \(df =  27 +  20 -2\)

    \(df =  45\)

From the t distribution table  the \(P(t >  t )\) at the obtained degree of freedom = 45 is  

   \(P(t >  -0.30 ) = 0.61722067\)

So  the  p-value  is

    \(p-value  =  P(t >  T) =  0.61722067\)

From the obtained values we see that the  p-value  >  \(\alpha \) hence we fail to reject the null hypothesis

Hence the there is no sufficient evidence to support the claim that the mean age of the cars is greater than that of taxi

Step-by-step explanation:

Given the equation that modeled the total public debt D (in trillions of dollars) in the United States at the beginning of each year from 2000 through 2008 can be approximated by;

D = 0.032t^2 + 0.21t + 5.6, 0 ≤ t ≤ 8

We are to find the total public debt with the time interval;

when t = 0;

D = 0.032(0)^2 + 0.21(0) + 5.6

D = 5.6 trillion dollars

when t = 1;

D = 0.032(1)^2 + 0.21(1) + 5.6

D = 0.032+0.21+5.6

D = 5.842 trillion dollars

when t = 2;

D = 0.032(2)^2 + 0.21(2) + 5.6

D = 0.128+0.42+5.6

D =  6.148 trillion dollars

when t = 3;

D = 0.032(3)^2 + 0.21(3) + 5.6

D = 0.288+0.63+5.6

D = 6.518 trillion dollars

when t = 4;

D = 0.032(4)^2 + 0.21(4) + 5.6

D = 0.512+0.84+5.6

D = 6.952 trillion dollars

when t = 5;

D = 0.032(5)^2 + 0.21(5) + 5.6

D = 0.8+1.05+5.6

D = 7.45 trillion dollars

when t = 6;

D = 0.032(6)^2 + 0.21(6) + 5.6

D = 1.152+1.26+5.6

D = 8.012 trillion dollars

when t = 7;

D = 0.032(7)^2 + 0.21(7) + 5.6

D = 1.568+1.47+5.6

D = 8.638 trillion dollars

when t = 8;

D = 0.032(8)^2 + 0.21(8) + 5.6

D = 0.032(64)+1.68+5.6

D = 2.048+1.68+5.6

D = 9.328 trillion dollars

From the values gotten, we can see that the total public debt reached or surpassed 7 trillion dollars in 2005

To get the public debt in 2017, we can simply substitute t = 17 into the expression D = 0.032t2 + 0.21t + 5.6

D = 0.032(17)^2 + 0.21(17) + 5.6

D = 0.032(289)+3.57+5.6

D = 9.248+3.57+5.6

D(17) = 18.418 trillion dollars

Answer:

c=25

Step-by-step explanation:

Since you are given \(x^{2}\)+10x+c

We know that in an equation of \(ax^{2}+bx+c\), when a = 1, c can be found by \((\frac{b}{2})^{2}\)

So c = \((10/2)^{2}\)=\(5^{2}\)=25

Answer: Hmm..

Well I think you need to like multiply the corners of the triangeles by 4-2

Step-by-step explanation:

good luck

A rectangular floor with a length of 14 ft and a width of 6 ft, square tiles with an edge length of 3/4 ft, a total of 144 tiles can fit.

To determine how many square tiles can fit in a rectangular floor, we need to calculate the total number of tiles that can fit both horizontally and vertically.

Given:

Length of the rectangular floor = 14 ft

Width of the rectangular floor = 6 ft

Edge length of square tile = 3/4 ft

First, let's calculate the number of tiles that can fit horizontally:

Length of the rectangular floor / Edge length of square tile = 14 ft / (3/4 ft) = 14 ft × (4/3 ft) = 56/3 ft

Since we want a whole number of tiles, we need to round down or take the floor value:

Number of tiles horizontally = floor(56/3) = 18 tiles

Next, let's calculate the number of tiles that can fit vertically:

Width of the rectangular floor / Edge length of square tile = 6 ft / (3/4 ft) = 6 ft × (4/3 ft) = 24/3 ft

Again, we round down or take the floor value:

Number of tiles vertically = floor(24/3) = 8 tiles

To find the total number of tiles, we multiply the number of tiles horizontally by the number of tiles vertically:

Total number of tiles = Number of tiles horizontally × Number of tiles vertically = 18 tiles × 8 tiles = 144 tiles

Therefore, in a rectangular floor with a length of 14 ft and a width of 6 ft, square tiles with an edge length of 3/4 ft, a total of 144 tiles can fit.

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Answer:

Step-by-step explanation:

In the context of this problem all the solutions to the polynomial equation is correct because they all make sense.

The given polynomial equation  can be expressed as ;

x³ + 6x² - 40x = 192 and the given solutions can be written as ; x = -8, x = -4, and x = 6

We can test if the solution is the best for the given euation because this will help us to know if these valueas are the solution for the equation

x = -8

[(-8)³ + 6(-8)² - 40(-8)]

= 192

[-512 + 384 + 320]

= 192

x = -4,

[(-4)³ + 6(-4)² - 40(-4)]

[-64 + 96 + 160 ]

= 192

x = 6

[(6)³ + 6(6)² - 40(6) ]

216 + 216 - 240

= 192

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Answer:

Step-by-step explanation:

A,B

x = –8

x = –4

The fabric  has a cost per yard of $6 per yard

From the question, the given parameters are:

Yards of fabric = 2 1/2 yards

Cost of the fabric = $15

The cost per yard of the fabric is then calculated as

Cost per yard = Cost of the fabric/Yards of fabric

Substitute the known values in the above equation

So, we have

Cost per yard = 15/(2 1/2)

Evaluate the quotient

So, we have

Cost per yard = 6

Hence, the cost per yard is $6 per yard

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The values of six trig functions are:

sinθ=− √5/5, cosθ=2√5/5, tanθ=-1/2, cot θ=−2, secθ=√5/2, cscθ=−√5

The relationship between the angles and sides of a triangle is given by these trig functions.

There are six functions of an angle commonly used in trigonometry. Their names and abbreviations are sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), and cosecant (csc).

The point's coordinates are:

x=2, y=−4

To calculate the functions we have to calculate the distance between the point and the origin:

r=√x²+y²=√2²+(−4)²=√16+4=√20

r=2√5

Now we can calculate the functions:

sinθ=y/r=−2/2√5=−√5/5

cosθ=x/r=4/2√5=2/√5=2√5/5

tanθ=y/x=−2/4=−1/2

cotθ=x/y=4/−2=−2

secθ=r/x=2√5/4=√5/2

cscθ=r/y=2/√5−2=−√5.

Hence, the values of trig functions are calculated.

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Answer:

Step-by-step explanation:

=20

This take 30 minutes to finish filling the remaining jugs.

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;

A person needs to fill 20 water jugs with a hose. Filling the first 2 jugs has taken 3 minutes.

Now,

Let the time to finish filling the remaining jugs = x

Since, A person needs to fill 20 water jugs with a hose. Filling the first 2 jugs has taken 3 minutes.

Hence, By definition of proportion we get;

⇒ 20 / x = 2 / 3

⇒ 20 × 3 / 2 = x

⇒ x = 30

Thus, The time to finish filling the remaining jugs =  30 minutes

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Answer:

96

Step-by-step explanation:

First divide 360 by 2.

Then divide 180 by 5 and that is how many 5 pound bags he will use.

Then divide 180 again by 3 and that is how many 3 pound bags he will use.

Answer:

5x − k = 100

\(x=\frac{100-k}{5} \\\)

Step-by-step explanation:

The amount she spends on lunch is x = (100 + k) /5.

Given: Janet spent $100 on books.

This was k dollars less than five times what she spent on lunch.

We can construct an equation from it :

5x-k = 100

Thus , x = (100 + k) /5.

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