It can sometimes get colder than 3 degrees in the north. Select all the
possible temperatures for the north.
A) -2 degrees
B) 0 degrees
C) 2 degrees
D) 4 degrees
E) 6 degrees

Therefore ,we reject the null hypothesis,[tex]H_{0}[/tex]= [tex]u_{d}[/tex] ≤ 0

The square root of the variance is used to calculate the standard deviation, a statistic that gauges a dataset's dispersion from its mean. The standard deviation, which is proportional to the square root of variance, is calculated by comparing the variance of each data point to its mean.

Here,

The null hypothesis,[tex]H_{0}[/tex]= [tex]u_{d}[/tex] ≤ 0

Alternate hypothesis , [tex]H_{A}[/tex]= [tex]u_{d}[/tex] ≥ 0

thus,

[tex]d^{'}[/tex]=(14 + 11 + 7 + 11 -2 + 5 + 0 +5)/9

[tex]d^{'}[/tex]=4.44

[tex]S_{d}[/tex]=6.747

t=[tex]\frac{d^{'}-D}{\frac{S_{d}}{\sqrt{n} } }[/tex]

Putting values in above equation

[tex]d_{f}[/tex]=9-1=8

α=0.10 => t(0.1,8)

t=[tex]\frac{d^{'}-D}{\frac{S_{d}}{\sqrt{n} } }[/tex] = 1.397

Therefore ,we reject the null hypothesis,[tex]H_{0}[/tex]= [tex]u_{d}[/tex] ≤ 0

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Answer: 487.5

Step-by-step explanation:

Formula for Simple interest is

S.I = (P×R×T)/ 100

so, we are given with

P = 1500 ; R = 5% ;

T = 2 years 6 months    

*here we need to convert 6 months in to years

so,

6 months = 1/2 year

T = 6 year + 1/2 year = 13/2 years

Now putting these values in formula

We get;

S.I = (1500×5× 13/2) / 100

Ans : 487.5

If the farmer plans to fence a rectangular pasture adjacent to a river than the dimensions that is required for the least amount of fencing is  length = 900 m and width = 450 m  .

In the question ,

it is given that ,

the farmer is planning to fence the rectangular pasture adjacent to the river ,

the area of the pasture is = 405000 square meter .

let the length of the pasture = "y"

let the width of the pasture be = "x" ,

since only three side is fenced , the required perimeter is = 2x + y ;

given that area ⇒ x*y = 405000

y = 405000/x  ;

So , the perimeter equation becomes ;

p = 2x + 405000/x

differentiating and equation to 0 we get ;

p' = 2 - 405000/x²

2 - 405000/x² = 0 ;

2x² = 405000

x² = 202500 ;

x = 450 , putting in perimeter equation ,

we get ; y = 900 .

Therefore , the dimension is length = 900 m and width = 450 m.

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Answer:

There is no solution

Step-by-step explanation:

x - 4y = 15

3x -12y = 12

Times the first equation by -3

-3x +12y = -45

3x - 12y = 12

0 = -33

So, there is no solution.

Answer:

10 kg is indeed the answer as given by Dr. Mani. Let us see how that comes. 30 kg minus 26 kg = 1/5 of water. So, weight of water = 5 times 4 = 20 kg.

Step-by-step explanation:

Answer:

if it filled 25 kg it the one qurter will be 9

Step-by-step explanation:

because to know the weight when it is filled =(25-5)=20kg .

now,

the first quarter =20÷4+4=9kg

The equation representing the total number of wheels is given as follows:

u + 2b = 22.

This problem is modeled by a system of equations, for which the variables are given as follows:

There is a total of 15 seats, hence, considering that each of the objects have one seat, we have that:

u + b = 15.

There is a total of 22 wheels, and we have that:

Then the equation representing the total number of wheels is given as follows:

u + 2b = 22.

The problem asks for the equation representing the total number of wheels in this problem.

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Answer:

95

Step-by-step explanation:

x = 38 over 0.4 = 95

38 over x 100=40%

The value of the test statistic is  0.711, for the    test at the 5% level of significance that the population variances differ in a random sample  of 20 patients.

Since the information given to us is from a random sample of 20 patients who visited a clinic at medical center 1, a researcher found that the variance of the waiting time (in minutes) was 128.0. in a random sample of 15 patients in the clinic of medical center 2, the researcher found the variance to be 178.8, and tested at the 5% level of significance that the population variances differ. The test statistic for this problem is calculated using the F-test. The formula for the F-test is:

F-test = (variance of sample 1) / (variance of sample 2).  Therefore, the test statistic for this problem is F-test = 128.0 / 178.8 = 0.711.  

To determine the p-value, we need to look up the F-distribution with (df1 = 20-1 = 19, df2 = 15-1 = 14) at a significance level of 5

%. The p-value is 0.347.  Therefore, at a 5% level of significance, the test statistic is 0.711 and the p-value is 0.347. We cannot reject the null hypothesis that the population variances are equal.

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The independent variables, the ones that are intentionally manipulated, are temperature and surface time.

The dependent variable, the one that you measure the response in, is the reaction time.

The physical concept of temperature indicates in the numerical form how hot or cold something is. Temperature is measured with a thermometer.

Thermometers are calibrated in numerous temperature scales that historically have depended on various reference factors and thermometric materials for definition. The most common scales are the Celsius scale with the unit image °C (previously referred to as centigrade), the Fahrenheit scale (°F), and the Kelvin scale (okay), the latter being used predominantly for clinical functions. The kelvin is one of the seven base units within the worldwide machine of gadgets (SI).

Absolute zero, i.e. 0 kelvin or −273.15 °C, is the bottom factor within the thermodynamic temperature scale. Experimentally, it can be approached simplest very intently, however, no longer genuinely reached, as diagnosed in the 0.33 law of thermodynamics. it'd be not possible to extract power as the warmth from a body at that temperature.

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f(t) =  [tex]0.01 ( 2 )^{t}[/tex] is  which investment will eventually have the greater value.

What investment means?

An asset or object purchased with the intention of generating income or appreciation is referred to as an investment. An asset's value increasing over time is referred to as appreciation.

                               When a person buys a product as an investment, they don't intend to utilize it right away; instead, they plan to use it to make money later on.

F(t) = [tex]a(b)^{t}[/tex]

option a -                      a = 5

                                b = 1.5

                        f(t) = 5(1.5)

option b -                    a  = 0.01

                                  b = 2

               f(t) =  [tex]0.01 ( 2 )^{t}[/tex]

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Answer:

B

Step-by-step explanation:

The function is increasing anywhere the slope is positive.  This corresponds to the intervals -4<x<-2 and 0<x<2.  So, answer B is correct.

Answer:

March 4

Step-by-step explanation:

The fifth Thursday must happen 4 weeks after the first one. That means that the 5th Thursday is 28 days after the first one.

Feb 1 + 28 days = Feb 29

Feb 1, Thursday

Feb 8, Thursday

Feb 15, Thursday

Feb 22, Thursday

Feb 29, Thursday

Mar 1, Friday

Mar 2, Saturday

Mar 3, Sunday

Mar 4, Monday

Answer: March 4

The system of equations is:

28cm = 2*(W + L)

28.8cm = 2*(0.9*L + 1.2*W)

b) Solving that we will get L = cm and W = 6cm

c) The figure becomes a square of sides of 7.2cm

First, let's define the variables:

Remember that the perimeter of a rectangle is:

P = 2*(W + L)

We know that the perimeter is 28cm, then:

28cm = 2*(W + L)

And if we decrease the length by 10% and increase the width by 20% the perimeter is 28.8cm, then

28.8cm = 2*(0.9*L + 1.2*W)

Then the system of equations is:

28cm = 2*(W + L)

28.8cm = 2*(0.9*L + 1.2*W)

We can isolate L on the first equation to get:

28cm/2 - W = L

14cm - W = L

Replacing that in the other equation we get:

28.8cm = 2*(0.9*(14cm - W) + 1.2*W)

28.8cm = 1.8*(14cm - W) + 2.4*W

28.8cm = 25.2cm + 0.6*W

28.8cm - 25.2cm =  0.6*W

3.6cm/0.6 = W = 6 cm

So the width is 6cm, then the length is:

L  = 14cm - 6cm = 8cm

c) The modified dimensions are:

0.9*L = 0.9*8cm = 7.2 cm

The new width is:

1.2*W = 1.2*6cm = 7.2 cm

So the length is equal to the width, then the figure becomes a square.

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Answer:

4

Step-by-step explanation:

Given expression:

[tex]\left(2-\log_{\sqrt{2}}10\right)\left(2-\log_{\sqrt{5}}10\right)[/tex]

[tex]\textsf{Apply the radical rule}: \quad \sqrt{a}=a^{\frac{1}{2}}[/tex]

[tex]\implies \left(2-\log_{2^{\frac{1}{2}}}10\right)\left(2-\log_{5^{\frac{1}{2}}}10\right)[/tex]

[tex]\textsf{Apply the log rule}: \quad \log _{a^n}(x)=\frac{1}{n}\log _a\left(x\right),\:\quad \:a > 0[/tex]

[tex]\implies \left(2-\dfrac{1}{\frac{1}{2}}\log_{2}10\right)\left(2-\dfrac{1}{\frac{1}{2}}\log_{5}10\right)[/tex]

[tex]\implies \left(2-2 \log_{2}10\right)\left(2-2\log_{5}10\right)[/tex]

Rewrite 10 as 2 · 5 and 10 as 5 · 2:

[tex]\implies \left(2-2 \log_{2}(2 \cdot 5)\right)\left(2-2\log_{5}(5 \cdot 2)\right)[/tex]

[tex]\textsf{Apply the log product law}: \quad \log_axy=\log_ax + \log_ay[/tex]

[tex]\implies \left(2-(2 \log_{2}2+2\log_2 5)\right)\left(2-(2\log_{5}5 +2\log_52)\right)[/tex]

[tex]\implies \left(2-2 \log_{2}2-2\log_2 5\right)\left(2-2\log_{5}5 -2\log_52\right)[/tex]

[tex]\textsf{Apply log law}: \quad \log_aa=1[/tex]

[tex]\implies \left(2-2(1)-2\log_2 5\right)\left(2-2(1) -2\log_52\right)[/tex]

[tex]\implies \left(2-2-2\log_2 5\right)\left(2-2 -2\log_52\right)[/tex]

[tex]\implies \left(-2\log_2 5\right)\left(-2\log_52\right)[/tex]

Multiply:

[tex]\implies 4 \cdot \log_2 5 \cdot \log_52[/tex]

[tex]\textsf{Apply the log rule}: \quad \log _{a}(x) \cdot \log_{x}(a)=1[/tex]

[tex]\implies 4 \cdot 1[/tex]

[tex]\implies 4[/tex]

Therefore the mean number of sample of 40 households results in 102 television sets is 2.55 & the probability of that the sample mean is 2.55 or higher is 0.412

The likelihood of an event happening is determined by probability. We may need to forecast an event's result in a variety of real-world circumstances. The outcomes of an event may be certain or uncertain to us. In these situations, we state that there is a likelihood that the event will occur or not.

Here,

Given:

mean number of tv sets (n)= 2.24

standard deviation ([tex]{S_d} }[/tex]) = 1.38

sample of 40 households results in 102 television sets so ,

mean number (n') = 102/40 =2.55

its mean number =2.55

the probability that the sample mean is 2.55 or higher

=> Z = [tex]\frac{n^{'}-n }{S_d} }[/tex]

=> Z =(2.55-2.24)/1.38

=>Z = 0.2246

the normal distribution of probability =

P=[tex]\frac{1 *e^{\frac{-1}{2}Z^{2} } }{\alpha \sqrt{2\pi } }[/tex]

P=0.588

therefore P(x<2.55)=0.588

=>P(2.55< x)= 1-0.588=0.412

Therefore the probability of that the sample mean is 2.55 or higher is 0.412

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Answer:

B. 2x - 5000

Step-by-step explanation:

She makes x now.

2 times x is 2x.

2 times minus 5000 is 2x - 5000.

Answer: B

Answer:

B. 2x-5000

Step-by-step explanation:

2x, the 2 means you're going to times that sum by 2. Then you have to subtract 5000 from that which we don't know how much she will have so the equation would be: 2x-5000

Any expression that contains the square root of a number is a radical expression it was in my DoNow but I got this wrong so my teacher told me it was this .

The slope of line perpendicular to line 3x - 6y = 90 is -2.

Slope-Intercept form of equation => y = mx + c

Slope = m

Given equation,

3x - 6y = 90

 x - 2y = 30

      2y = x - 30

        y = x/2 - 15

        y = (1/2)x + (-15)

Here, slope = m1

                   = 1/2

For line perpendicular slope will be negative reciprocal of the slope of given line.

Therefore, slope of other line = m2

                                                 = -1/m1

                                                 = -2

Hence, slope of line perpendicular to line 3x - 6y = 90 is -2.

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The probability that her first flight was delayed exists 0.975.

The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. The probability of an event is a number between 0 and 1, where, broadly speaking, 0 represents the event's impossibility and 1 implies certainty.

Let event that First flight on time be denoted as OT and event that a flight exists delayed be D;

P(OT) = 0.15 and P(D) = 1 - P(OT) = 1 - 0.15 = 0.85

Let event that Luggage will make connecting flight be L and that it won't make it be L',

Given that there is a 0.95 chance that luggage will arrive on time, this is a conditional probability and can be expressed as follows:

P(L/OT) = 0.95 and also P(L/D) = 0.65

From this P(L'/OT) = 1 - P(L/OT) = 1 - 0.95 = 0.05

and P(L'/D) = 1 - P(L/D) = 1 - 0.65 = 0.35

The question is asking for the probability that the first flight was delayed (D) provided that her Luggage was not there (L').

Let the equation of conditional probability be;

P(D/L') = P( D and L')/ P(L')

P(D and L') = P(D) × P(L'/D) = 0.85 × 0.35 = 0.2975

P(L') = P(OT) × P(L'/OT) + P(D) × P(L'/D)

     = 0.15(0.05) + 0.85(0.35)

     = 0.305

P(L/OT) = 0.297/0.305

             = 0.975

Therefore, the probability that her first flight was delayed is 0.975.

The complete question is:

Leah is flying from Boston to Denver with a connection in Chicago. The probability her first flight is on time is 0.15. If the flight is on time, the probability that her luggage will make the connecting flight in Chicago is 0.95, but if the first flight is delayed, the probability that the luggage will make it is only 0.65.

Question: Suppose you pick up Leah in Denver and her luggage is not there.

What is the probability that her first flight was delayed?

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We are 95% confident that the true slope of the relationship between weight and number of gogles for all piknits lies between 5.68, 7.92.

The population parameter's (1 - α)% confidence interval denotes a probability of (1 -α ) that the interval contains the parameter's true value.

Or, the parameter's (1 -α )% confidence interval means that there is (1 - α)% certainty or confidence that the interval contains the genuine parameter value.

Assume that the weight's 95% confidence interval is (p1, p2).

The mean weight's 95% confidence interval

The likelihood that the true means fall within this range is 0.95.

95 of these intervals will contain the actual mean weight if 100 of these intervals are generated using 100 identical-sized samples.

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Complete question :

Suppose the confidence interval was (5.68,7.92). What is the correct interpretation of this interval? The true slope of the relationship between weight and number of gogles lies between 5.68 and 7.92 We are 95% confident that the true slope for the relationship between weight and number of gogles for our sample of piknits lies between 5.68 and 7.92. There is a 95% chance that the true slope of the relationship between weight and number of gogles lies between 5.68 and 7.92. We are 95% confident that the true slope of the relationship between weight and number of gogles for all piknits lies between 5.68 and 7.92.

-2/3 to the 5th power is equal to -0.008. To do this, we first need to raise -2/3 to the 1st power.

-2/3 to the 5th power can be calculated by raising -2/3 to the 5th power. To do this, we first need to raise -2/3 to the 1st power. This is equal to -2/3. We then need to multiply this result by itself four more times (since it is to the 5th power).

-2/3 * -2/3 = 4/9

4/9 * -2/3 = -8/27

-8/27 * -2/3 = 16/81

16/81 * -2/3 = -32/243

-32/243 * -2/3 = 64/729

Therefore, -2/3 to the 5th power is equal to 64/729. To simplify this, we can divide the numerator and denominator by 64. This gives us 1/11.5 which is equal to -0.008.

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Answer:

6,561

Step-by-step explanation:

((3*3)²)²

((9)²)²

(81)²

6,561

Answer:

Step-by-step explanation

answer:6561

3 times 3 = 9

9^2=81

81^2=6561

Answer:

=6x3+15x2y−46x2−115xy+80x+200y

Step-by-step explanation:

Answer: 0.6

Step-by-step explanation:

9/15 = 0.6

$9 / 15 cookies = $0.6 cents per cookie

Closure is one of the Gestalt principles of grouping which states that elements are perceived as being grouped together if they are near each other and form a closure.

Proximity is another Gestalt principle of grouping which states that elements that are close together are perceived as being related. In the illustration below, the three squares appear to be grouped together because of their proximity to each other.

Continuity is another Gestalt principle of grouping which states that elements are perceived as being grouped together if they are arranged in a continuous line or curve. In the illustration below, the three triangles appear to be grouped together because they are arranged in a continuous line.

Illusory contours is another Gestalt principle of grouping which states that elements are perceived as being grouped together if they create an illusion of a contour or shape.

Similarity is another Gestalt principle of grouping which states that elements are perceived as being related if they have similar characteristics or features. In the illustration below, the two triangles appear to be grouped together because they are the same color and size.

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The pail was pale because it was most likely made from a light-coloured material such as plastic or metal.

It is not clear why the pail was pale. The phrase "the pail was pale" does not make sense in the context of the properties of a pail. Pails are typically made of metal, plastic, or some other type of material and do not have a color or shade.

It is possible that you meant to ask a different question or that the phrase "the pail was pale" was intended as a joke or a play on words. Without more context, it is not possible to provide a meaningful answer.

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The number of hours to breakeven will be 5 hiurs

The breakeven is the point at which the cost and the revenue are equal.

Since Mitch sells thingamabobs. His revenue is modeled by the function R(h) = 5h+ + 8 for every h hours he spends working and his overhead cost is modeled by the function C'′(h) = h² + 7h − 16.

This wll be:

Revenue = Cost

5h + 8 = h² + 7h - 16

Collect like terms

h² + 7h - 5h - 16 = 0

h² - 2h - 16 = 0

Solving the equation will give h as 5.

The number of hours will be 5 hours.

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The interval reflects 95% of the critical reading scores is 430 t 230.

What is intervals?

Interval is the period of time between two points.

As per the given scenario

1.6 million students took the critical Reading portion of the SAT exam. The mean score, the modal score, and the standard deviation were calculated to be 115, respectively. 496,430,

95% confidence intervals

(Mu - 6.7-Mu+6.7)

(430-115×2 , 430+115×2)

By adding or substracting

( 430-230, 430+230)

So interval (430±230)

Thus,

The interval= 430±230.

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Answer:

The correct answer is (0) and (-10)

Step-by-step explanation:

The standard form of this equation is (x-a)(x-b)=0

so, here given equation is : x(x+10)=0

For solving the equation, equate both the LHS parts equals to RHS i.e. :

x(x+10)=0

x=0 &                          (x+10)=0 or x=(-10)

The first step performed by Daniela was that she subtracted 1 / 2 x from both sides of the equation.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

In other words, equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign.

Therefore, Daniela is trying to solve an equation for x.

1/2 x + 3 = 7/2 x + 5

The variable of the equation is x. The variable of an equation is a number represented with letters.

Hence, the first step performed by Daniela is as follows:

Subtract 1 / 2 x from both sides of the equation

1/2 x + 3 = 7/2 x + 5

1/2 x - 1 / 2 x + 3 = 7/2 x - 1 / 2 x + 5

3 =  7/2 x - 1 / 2 x + 5

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