4.23×10 to the third power in standard notation/4.23×10 to the third power equals 4.23 times blank equals blank

We reject the null hypothesis and conclude that the true average temperature of COVID patients exceeds 100, with a type I error rate of 10% and a p-value of 0.0068 indicating a low probability of obtaining the observed sample mean if the null hypothesis were true.

To test if the true average temperature of COVID patients exceeds 100, we can use a one-sample z-test.

The null and alternative hypotheses are

Null hypothesis: The true average temperature of COVID patients is less than or equal to 100.

Alternative hypothesis: The true average temperature of COVID patients exceeds 100.

We can calculate the test statistic as

z = (x - μ) / (σ / sqrt(n))

where x is the sample mean, μ is the hypothesized population mean (100 in this case), σ is the population standard deviation, and n is the sample size.

Substituting the given values, we get

z = (101.2 - 100) / (6 / sqrt(56))

z = 2.47

We can find that the p-value is 0.0068. This means that if the true average temperature of COVID patients is actually 100, there is only a 0.68% chance of getting a sample mean of 101.2 or higher.

Since the alpha level is 10%, and the p-value is less than 10%, we reject the null hypothesis and conclude that the true average temperature of COVID patients exceeds 100.

The type of error that could have occurred is a type I error, which is rejecting the null hypothesis when it is actually true. The probability of a type I error is equal to the chosen alpha level, which is 10% in this case.

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Answer:

4.28 × 10 to the power 4

Step-by-step explanation:

The point should be moved and placed between 4 and 2. Then you have to count how many time u moved the decimal point and write it in 10 to the power form.

Answer: (a) The English system of units used in surveying:

Length: The basic unit of length is the foot (ft).

Area: The basic unit of area is the square foot (ft²).

Volume: The basic unit of volume is the cubic foot (ft³).

Angles: The basic unit of angles is degrees (°).

(b) The SI (International System of Units) system of units used in surveying:

Length: The basic unit of length is the meter (m).

Area: The basic unit of area is the square meter (m²).

Volume: The basic unit of volume is the cubic meter (m³).

Angles: The basic unit of angles is the degree (°) or the radian (rad).

It's worth noting that while the English system is still used in some countries, the SI system is the globally recognized and widely adopted system of measurement.

Step-by-step explanation:

Answer:

well just add 128 and 0.4 miles and that's your answer

Answer:             5

Step-by-step explanation: because

The maximum possible volume of the box is 4.5 cubic meters and this is achieved by having a square bottom of the box with a  side length of 3 cm and a height of 1/2 cm.

Volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube,  cuboid,  cone,  cylinder or  sphere. Different shapes have different volume. The formula for volume is: volume = length x width x height.

 Let the side of the base of the square  be x cm. Then the area of ​​the base would be x² square cm.

 The material needed to make the box would be the sum of the areas of the bottom and  four sides. Since the bottom of the box is square  and the sides are perpendicular to the base, the area of ​​each side is x times the height.

 So the total  area of ​​the box would be:

x² + 4 (x times height)

We know that the total  area is 16 square cm, so we can write:

x² + 4 (x times the height) = 16

We want to maximize the volume of the box. The volume of a square box  is obtained as follows:

V = x² times height

We can solve the first height equation with x:

height = (16 - x²)/(4x)

Substituting this height expression  into the volume formula, we get:

V = x² times (16 - x²)/(4x)

Simplifying this expression, we get:

V = (4x³ -\(x^4\))/16

We want to find the maximum value of V. To do this, we take the derivative of V with respect to x and set it  to zero:

dV/dx = (12x² - 4x³)/16 = 0

This gives us two solutions: x = 0 and x = 3.

 Since x represents the side of the square root, it must be positive. Therefore we choose x = 3.

 Substituting this value into the height expression, we get:

height = (16 - 3²)/(4 times 3) = 1/2

So the maximum volume of the box is:

V = 3² times 1/2 = 4.5 cubic meters

Therefore, the maximum possible volume of the box is 4.5 cubic meters and this is achieved by having a square bottom of the box with a  side length of 3 cm and a height of 1/2 cm.

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If adding only twelve, you must leave out three of the fifteen, and the number of ways is = 15! / (3! * 12!).

1∗2∗3∗4∗5∗6∗6∗8∗9∗10∗11∗12∗13∗14∗15 over

(1∗2∗3)∗(1∗2∗3∗4∗5∗6∗6∗8∗9∗10∗11∗12) =

13∗14∗15 over

(1∗2∗3)

27306 = 455

Answer: If all toppings are distinct, then you have C 4 15 combinations. If there are three distinct toppings, you have 3 ⋅ C 3 15 combinations (because we have C 3 15 choices for toppings and then 3 choices for which of those three toppings is doubled).

Step-by-step explanation:

Answer:

a.) 26< a 28  

b.) 4

Step-by-step explanation:

a.) After looking at the age in years collum you can notice that all of ages have a difference of 2. With this you can infer that the missing number is 28.

b.) To find the mean add up all the numbers in the frequency column.

3+2+7+8+0=20

Divide that by the amount of numbers. There are 5 numbers so 20/5=4.

Hope this helps!

Answer:

e)as we know in this current century many modern country is polluting air pollution that may lead to impact our health

Answer:

Katie,

Once the skydiver reaches terminal velocity, then he will be falling with constant speed. The distance he falls in time t will then be d = (160 ft/s)·t. And his altitude above the ground (height h) will be his altitude when the parachute opened minus the distance he has fallen so we can write:

h = (3200 ft) - (160 ft/s)·t

As a point of interest, the time it will take him to fall all the way to the ground is t = (3200 ft)/(160 ft/s) = 20 s

Answer:

h(t) = -16t^2 + 200

Step-by-step explanation:

Answer:

they only had one pair of trunks

Step-by-step explanation: i hope that helps you

After rearranging the formula with the subject 'm', the formula will be m = k+m/p.

So, rearranging the formula from:

Now, rearrange taking the subject 'm':

Therefore, after rearranging the formula with the subject 'm', the formula will be m = k+m/p.

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Answer:

We are given to find the length of side AB. We know that in a triangle, if two angles have equal measures, then the sides opposite to them are equal in length. Thus, the length of side AB is 6 units.

Hope this helps!!

Answer:

12

Step-by-step explanation:

4x=2×+6

them you use the inverse operation and them the result is and you multiply by 2 the answer is 12

The probability that none of the 4 light bulbs work is 2.56%.

As per the given information, the probability that an individual light bulb works is 0.6.

Therefore, the probability that it does not work (i.e., fails) is:

1 - 0.6 = 0.4

Since each light bulb works independently of the other light bulbs, the probability that none of the 4 light bulbs work is the product of the individual probabilities that each light bulb fails.

Calculated as,

P(none work) = P(first fails) × P(second fails) × P(third fails) × P(fourth fails)

P(none work) = 0.4 × 0.4 × 0.4 × 0.4

P(none work) = 0.0256

Therefore, the probability that none of the 4 light bulbs work is 0.0256 or approximately 2.56%.

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Answer:

B. RZ =R BZ

Step-by-step explanation:

Since point Z is equidistant from the sides of ARST, it lies on the perpendicular bisectors of both sides. Therefore, CZ and SZ are perpendicular bisectors of AB and ST, respectively.

Option B is true because point R lies on the perpendicular bisector of AB, and therefore RZ = RB.

Answer: vv

Step-by-step explanation:

Since point Z is equidistant from the sides of ARST, it lies on the perpendicular bisector of the sides ST and AR.

Therefore, we can draw perpendiculars from point Z to the sides ST and AR, which intersect them at points T' and R', respectively.

Now, let's examine the options:

A. SZ & TZ: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of ST, and the distance from Z to S and T could be different.

B. RZ = RB: This is true, as point Z lies on the perpendicular bisector of AR, and is therefore equidistant from R and B.

C. CTZ = ASZ: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of AR, and the distances from Z to C and A could be different.

D. ASZ = ZSB: This is not necessarily true, as we do not know the exact location of point Z. It could lie anywhere on the perpendicular bisector of ST, and the distances from Z to A and B could be different.

Therefore, the only statement that must be true is option B: RZ = RB.

With Equivalent expressions, the value of the p is -14.

According to the statement

We have to find that the value of the p.

So, For this purpose, we know that the

Equivalent expressions are expressions that work the same even though they look different.

From the given information:

The given values is:

(x^19)(x^-33) = (x^p)

Now, use the method of add the terms bcz in this the base will a same then powers will be add.

(x^19-33) = (x^p)

After adding the power of the x become:

(x^-14) = (x^p)

After comparing the both equations,

The values of the p become -14.

Then p = -14.

So, With Equivalent expressions, the value of the p is -14.

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Answer:

A tessellation is created when a shape is repeated over and over again covering a plane without any gaps or overlaps.

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

because 1/2 time 1 = 1/2

Mixed number is the combination of the whole number and the proper fraction. One is integer and other is fraction in a mixed number. When you multiply a mixed number by another mixed number the product is equal to the another mixed number. For exact same mixed number, when you multiply a mixed number by one  number the product is equal to the mixed number.

Mixed number is the combination of the whole number and the proper fraction. One is integer and other is fraction in a mixed number. As it is the combination of two types of number thus it is known as mixed number.

Mixed number are used to count the whole and part of a thing together.

For example five and a half of a thing can be written as,

\(5+\dfrac{1}{2} =5\dfrac{1}{2}\)

Now when a mixed number is multiplied by the another mixed number the product of both is a another mixed number.

For example let multiply 2 and a half with 3 and a half. The result is,

\(2\dfrac{3}{2} \times3\dfrac{3}{2} =\dfrac{7}{2} \times \dfrac{9}{2}\)

\(2\dfrac{3}{2} \times3\dfrac{3}{2} =\dfrac{63}{4}\)

\(2\dfrac{3}{2} \times3\dfrac{3}{2} =15\dfrac{3}{4}\)

Thus when you multiply a mixed number by another mixed number the product is equal to the another mixed number.

If the product should be equal to the given mixed number thus it need to be multiplied by the one. Thus when you multiply a mixed number by one  number the product is equal to the mixed number.

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Answer:

Step-by-step explanation:

To find the normal plane and osculating plane, we first need to find the required derivatives.

x = 5t, y = t^2, z = t^3

dx/dt = 5, dy/dt = 2t, dz/dt = 3t^2

So, the velocity vector v and acceleration vector a are:

v = <5, 2t, 3t^2>

a = <0, 2, 6t>

Now, let's evaluate them at t = 1 since the point (5, 1, 1) is given.

v(1) = <5, 2, 3>

a(1) = <0, 2, 6>

The normal vector N is the unit vector in the direction of a:

N = a/|a| = <0, 1/√10, 3/√10>

Using the point-normal form of the equation for a plane:

normal plane equation = 0(x-5) + 1/√10(y-1) + 3/√10(z-1) = 0

Simplifying this equation we get:

5x + 2y + 3z = 30

The osculating plane can be found using the formula:

osculating plane equation = r(t) · [(r(t) x r''(t))] = 0

where r(t) is the position vector, and x is the cross product.

At t = 1, the position vector r(1) is <5, 1, 1>, v(1) is <5, 2, 3>, and a(1) is <0, 2, 6>.

r(1) x v(1) = <-1, 22, -5>

r(1) x a(1) = <12, -6, -10>

v(1) x a(1) = <-12, 0, 10>

Substituting these values into the formula, we get:

osculating plane equation = (x-5, y-1, z-1) · <12, -6, -10> = 0

Simplifying this equation we get:

3x - 15y + 5z = 5

Therefore, the equations for the normal plane and osculating plane at (5, 1, 1) are:

(a) 5x + 2y + 3z = 30

(b) 3x - 15y + 5z = 5

Answer:

Mean

Step-by-step explanation:

I said mean because it would allow both Carl and Tamera to average their scores and compare one side by side rather than comparing 6 each which would just be time consuming and it seems like it wouldn't be any other choices.

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Answer:

0 ≤ t ≤ 4

Step-by-step explanation:

Given function:

\(a(t)=-16t^2+48t+64\)

where:

The event starts when t = 0. This is the first endpoint of the domain.

If the event ends when there are no attendees, the other endpoint of the domain will be the greater value of t when a(t) = 0.

Set the function to zero and factor it:

\(\implies -16t^2+48t+64=0\)

\(\implies -16(t^2-3t-4)=0\)

\(\implies t^2-3t-4=0\)

\(\implies t^2-4t+t-4=0\)

\(\implies t(t-4)+1(t-4)=0\)

\(\implies (t+1)(t-4)=0\)

Apply the zero-product property:

\(\implies t+1=0 \implies t=-1\)

\(\implies t-4=0 \implies t=4\)

Therefore, the domain is 0 ≤ t ≤ 4.

When graphing inequalities on a number line:

Therefore, to represent the found domain on the number line:

Answer:

x=4  

-5y+8x=-18        

linear combination:

cancel out -5y with 5y. combine 8x and 2x

5y+2x=58        

10x. combine -18 and 58 to get 40

10x=40    

40/10=4

x=4

-----

Hope this helps!! - Maddy  

(if this helps please make brainliest, rate, and thank so I know how I did!)

╰(*°▽°*)╯

Answer:

\( \boxed{ \huge{ \bold{ \boxed{ \sf{y = 3}}}}}\)

Step-by-step explanation:

\( \sf{ - 5y - 25 = - 40}\)

Move 25 to right hand side and change it's sign

⇒\( \sf{ - 5y = - 40 + 25}\)

Calculate

⇒\( \sf{ - 5y = - 15}\)

Divide both sides of the equation by -5

⇒\( \sf{ \frac{ - 5y}{ - 5} = \frac{ - 15}{ - 5} }\)

Calculate

⇒\( \sf{y = 3}\)

Hope I helped!

Best regards!!

Answer:

You have

21

dimes and

7

quarters.

Explanation:

Let

x

be the number of quarters, and

3

x

the number of dimes.

The amount of money you have can be written as

0.25

x

+

0.1

⋅

3

x

=

3.85

.

Now isolate

x

to find the number of quarters:

0.25

x

+

0.1

⋅

3

x

=

3.85

0.25

x

+

0.3

x

=

3.85

0.55

x

=

3.85

x

=

3.85

0.55

=

7

=

the number of quarters.

Then multiply by three to get the number of dimes:

7

⋅

3

=

21

7

⋅

$

0.25

+

21

⋅

$

0.1

=

$

3.85

Step-by-step explanation:

Hope this helped

The correct answer is D. All of the above. When the spread of scores around the arithmetic mean gets smaller, it means that the data points are closer to the mean.

This has several implications:
A. The coefficient of variation (CV) gets smaller: The coefficient of variation is the ratio of the standard deviation to the mean. When the standard deviation decreases (due to smaller spread of scores), the CV also decreases.
B. The interquartile range (IQR) gets smaller: The IQR represents the range between the first quartile and the third quartile. When the spread of scores decreases, the values at the first and third quartiles are closer together, resulting in a smaller IQR.
C. The standard deviation gets smaller: The standard deviation measures the average distance of data points from the mean. As the spread of scores decreases, the data points are closer to the mean, resulting in a smaller standard deviation.
In summary, when the spread of scores around the arithmetic mean gets smaller, the coefficient of variation, interquartile range, and standard deviation all decrease.

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Answer:

True

Step-by-step explanation:

Integer programming (IP) models are optimization models in which all of the variables must be integers. This type of optimization model is used in situations where variables can only take on integer values, such as in scheduling or resource allocation problems. In IP models, the goal is to find the values of the integer variables that optimize some objective function subject to a set of constraints

The given statement " Integer programming (IP) models are optimization models in which all of the decision variables are restricted to integer values" is correct.

As IP problems are well-suited for a variety of applications where the decision variables have a natural integer interpretation, such as production scheduling, facility location, and transportation network design.

In such cases, the use of IP models can lead to more efficient and effective solutions than LP models.

In contrast, linear programming (LP) models allow decision variables to take on any non-negative real values. The requirement that the decision variables be integer values makes IP problems more difficult to solve than LP problems, as there are many fewer feasible solutions to consider.

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