How do write 200,403,926 in expanded form and in words

The rate of change in her pace from 0 minutes to 10 minutes into the race is 1 mile per 10 minutes.

Option (B) is correct.

What is the rate of change?

The rate of change is the amount by which a quantity changes with respect to another quantity, usually with respect to time. In mathematics, the rate of change is often represented as the slope of a line or the derivative of a function.

The rate of change in Kathryn's pace from 0 minutes to 10 minutes into the race can be calculated by finding the difference in her pace over that time interval.

Her pace can be calculated as time per mile, so if she runs 1 mile in 20 minutes, her pace is 20 minutes per mile.

From 0 to 10 minutes into the race, she runs half a mile, so her pace over that time interval can be calculated as follows:

20 minutes / mile * (1/2 mile) = 10 minutes / mile

Hence, the rate of change in her pace from 0 minutes to 10 minutes into the race is 1 mile per 10 minutes.

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Answer:

h = 5

Step-by-step explanation:

area = 1/2 base × hight

base = 3 +h

hight =9 + 6 = 15

60 = 1/2 × 15 × (3+h)

120/15 = 3 + h

8 = 3 + h

h = 5

Answer:

h = 5

Step-by-step explanation:

The value of h can be obtained by using area of triangle formula as well as distance formula.

\(A(\triangle ABC) =\frac{1}{2} \times AB\times AC \\ \\ 60 = \frac{1}{2} \times \sqrt{ {( - 3 + 3)}^{2} + (9 + 6) ^{2} } \\ \times \sqrt{ {(h + 3)}^{2} + {(9 - 9)}^{2} } \\ \\ 60 \times 2= \sqrt{ {( - 0)}^{2} + (15) ^{2} } \\ \times \sqrt{ {(h + 3)}^{2} + {(0)}^{2} } \\ \\ 120= \sqrt{ 0 + (15) ^{2} } \times \sqrt{ {(h + 3)}^{2} + 0 } \\ \\ 120= \sqrt{ (15) ^{2} } \times \sqrt{ {(h + 3)}^{2} } \\ \\ 120 = 15(h + 3) \\ \\ \frac{120}{15} = h + 3 \\ \\ 8 = h + 3 \\ \\ h = 8 - 3 \\ \\ h = 5\)

Answer:

The measure of a central angle of a circle that intercepts a 68° arc

Step-by-step explanation:

Recall the inscribed angle theorems:

Measure of central angle = measure of intercepted arc

Measure of inscribed angle = ½(measure of intercepted arc)

Therefore,

The measure of a central angle that intercepts a 68° arc = 68°

Measure of an inscribed angle of a circle that intercepts a 68° arc = ½(68°) = 34°

Therefore, the larger would be:

The measure of a central angle of a circle that intercepts a 68° arc

There is not sufficient evidence at the 0.10 level to support the marketing executive's claim that the percentage of readers owning a laptop is different from the reported percentage of 54T%.

To test whether the sample proportion of 50P% is significantly different from the reported proportion of 54T%, we can use a one-sample z-test.

The null hypothesis is that the true proportion is equal to 54T%, and the alternative hypothesis is that the true proportion is different from 54T%.

The test statistic is calculated as:

z = (p - p₀) / √(p₀(1-p₀)/n)

where p is the sample proportion, p₀ is the hypothesized proportion, and n is the sample size.

Plugging in the values, we get:

z = (0.50 - 0.54) / √(0.54(1-0.54)/110) ≈ -1.38

The critical value for a two-tailed test at the 0.10 level with a sample size of 110 is ±1.645. Since the calculated test statistic (-1.38) does not exceed the critical value (-1.645), we fail to reject the null hypothesis.

Therefore, there is not sufficient evidence at the 0.10 level to support the marketing executive's claim that the percentage of readers owning a laptop is different from the reported percentage of 54T%.

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Answer:

122 and 58

Step-by-step explanation:

Answer:

C. HOPE THIS HELPED HAVE A GEART Day GAWG

Step-by-step explanation:

Answer:

I'm not the best nor I am the worst at these Type of problems but

Step-by-step explanation:

6.85 - 4.83= 2.2

I hope this helps or is right

The speed of both printers operating together is 1.333 hours which was found using the given data.

The formula used to explain the connection between speed, distance, and time is speed = distance/time.

Given: Newspapers can be printed twice as quickly on a modern printing press as they can on an old one. The old one takes four hours to publish the afternoon edition.

Let,

a = Speed of New printing press

b = Speed of Old printing press

x = Speed of both printers operating together

We know that,

(1/a)+(1/b)=(1/x)

(1/2)+(1/4)=(1/x)

(4/8)+(2/8)=(1/x)

6/8=1/x

x=8/6

x=1.333

Therefore, the speed of both printers operating together is 1.333 hours which was found using the given data.

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Answer:

3.5 YARD

Step-by-step explanation:

3.5 x 3= 10.5x12= 126

The hypotenuse is cm and the two other sides are cm and cm. The area of the triangle is (cm²) / 2.

To work out the area of a triangle, we can use the formula:

area = (base x height) / 2.
Given that one side of the triangle is perpendicular to the base and measures cm,

we can consider this as the height of the triangle.
Let's label the base as b and the height as h.
From the given information, we know that the base of the triangle is cm. So, b = cm.
To find the height, we need to use the Pythagorean theorem.

The Pythagorean theorem states that in a right-angled triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides.
In this case, the hypotenuse is cm and the two other sides are cm and cm.
Applying the Pythagorean theorem, we have: cm² = cm² + cm².
Simplifying the equation, we get: cm² = cm².
Now, we can solve for cm: cm² - cm² = 0.
Therefore, cm = cm.
Now, we have the base (b = cm) and

the height (h = cm). Plugging these values into the formula, we have:
Area = (base x height) / 2 = (cm x cm) / 2.
Simplifying further, we get:
Area = (cm²) / 2.
As we need to give our answer in the form where A is an integer.

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The complete question is,

________is a triangle. is perpendicular to . cm, cm, cm work out the area of triangle . give your answer in the form where is an integer.

Answer:

The discriminant equates to 0. (the expression underneath the square root sign will equal 0) This means that the curve will not cross the x-axis in two places.

Answer:

b²-4ac=0

Step-by-step explanation:

where

b²-4ac <0 it has no solution

b²-4ac >0 it has two solution

The answer  is that with 95% confidence, we can say that the value of the true mean proportional limit stress of all such joints is centered around a certain value. This means that we are fairly certain that the true value lies within a certain range.

This bound is based on statistical analysis and assumes that the sample observations were taken from a normally distributed population. This means that the data follows a bell curve shape, with most of the values falling near the mean and fewer values falling farther away from the mean. The 95% confidence level means that if we were to repeat the experiment multiple times, we would expect the true value to lie within this range 95% of the time.

We cannot say for certain whether the true mean proportional limit stress is greater or less than the value we have calculated, but we can say that it is centered around this value with a high degree of confidence.

It is important to note that this bound is based on certain assumptions about the data and the population it represents. If these assumptions are not met, the bound may not be accurate or valid.

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9514 1404 393

Answer:

  (min, max) are exact or rounded to thousandths, so you can round as may be required

  5.  (10.607, 14.229)

  6.  (-1.586, -0.764)

  7.  (4, 5.211)

  8.  (-3.5, -2.342)

Step-by-step explanation:

Given:

  the attached function definitions and intervals

Find:

  the minimum and maximum on the given interval

Solution:

In a couple of cases, the coefficient of x is negative, indicating the basic square root function has been reflected over the y-axis. That will put the maximum at the left end of the interval, instead of the right end, where it would otherwise be.

__

5. minimum: f(3.5) = 5√(3.5+1) +1 = 5√4.5 +1 = 10.607

  maximum: f(6) = 5√(6+1) +1 = 5√7 +1 = 14.229

__

6. minimum = f(-2) = √(-(-2)) -3 = √2 -3 = -1.586

  maximum = f(-5) = √(-(-5)) -3 = √5 -3 = -0.764

__

7. minimum = f(-6) = 2√(3 -(-6)) -2 = 2√9 -2 = 4

 maximum = f(-10) = 2√(3 -(-10)) -2 = 2√13 -2 = 5.211

__

8. minimum = f(0) = (1/2)√(0 +1) -4 = -3.5

  maximum = f(10) = (1/2)√(10+1) -4 = (1/2)√11 -4 = -2.342

Answer:

Bottle A started with 88 and bottle B started with 40

Step-by-step explanation:

To find out what they started with I got the ounces they finished with an the equation they did to get there.

Ended in 64 oz.

To get there:

A => B

B => A

A => B

Every time a pour is made the bottle to the right is doubled so I got 64 and divided it by 2 to see what B had before the pour of bottle A.

B had 32 oz. and A had 96 oz. before the last pour. I got 96 oz. because for them to end up with 64 oz. A has to have 32 oz. + 64 oz. since you are pouring 32 oz. into bottle B.

Now you have this equation:

A => B

B => A

96 oz. => 32 oz.

64 oz.

I then do the same thing I did to find 96 and 32. Since B is giving to A now it has to have more then A but it has to end up with 34 oz. for this is got 96 oz. and I divided it by 2 which got me 48. So on the second pour A started with 48 and B had to have given A 48 plus have 32 so it could end up with 34 therefore making it have 80 oz.

Now you have this equation:

A => B

80 oz. => 48 oz.

96 oz. => 32 oz.

64 oz.

For the last part to get the first ounces to answer the question you will do the same steps. Get half of 80 to see what B had before the 2nd pour which will be 40 and then you have to get 48 + 40 sine bottle A has to have the same amount of soda as B plus 48 oz. that it ends up with. This will have bottle A as 88 oz.

The Answer:

88 oz. => 40 oz.

80 oz. => 48 oz.

96 oz. => 32 oz.

Both will end up with 64 oz.

There are 75 calories in 1 cupcake. The solution has been obtained using unitary method.

What is the unitary method?

Prior to calculating the value of the required number of units, the value of a single unit is first determined using the unitary technique. Simply expressed, the unitary technique is used to determine the value of a single unit from a specified multiple.

We are given that there are 450 calories in 6 cupcakes.

In order to represent this as a unit rate, we will use the unitary method.

In 6 cupcakes, there are 450 calories.

So, in 1 cupcake, there will be 450/6 = 75 calories

Hence, there are 75 calories in 1 cupcake.

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Since there are multiple questions so, the question answered above is attached below

Answer:

Step-by-step explanation:

Area=\(\frac{(6+16)9}{2}\)

       =99 yd²

A standard normal random variable (Z) has a mean of 0 and a standard deviation of 1. The probability of Z being greater than 0 is equal to the area under the normal curve to the right of 0, which is exactly half of the total area under the curve (since the curve is symmetric around the mean of 0). Therefore, P(Z>0) is equal to 0.5.

A standard normal random variable, like Z in your question, follows a standard normal distribution, which is a special type of normal distribution with a mean of 0 and a standard deviation of 1. Now, you're asked to find the probability P(Z > 0).

Since the standard normal distribution is symmetrical around the mean (0), the probability of Z being greater than 0 is equal to the probability of Z being less than 0. In other words, half of the distribution is on the right side of the mean, and the other half is on the left side.

Therefore, P(Z > 0) = 0.5, which is your answer.

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Answer:

2.83 seconds

Step-by-step explanation:

In the given equation, h represents the height (in feet) of the rock above the river at time t seconds after it is dropped, and the equation is h = -16t^2 + 128.

When the rock reaches the river, its height above the river will be zero. So, we can set h = 0 in the equation and solve for t:

0 = -16t^2 + 128

Dividing both sides by -16, we get:

t^2 = 128/16

t^2 = 8

Taking the square root of both sides, we get:

t = ±√8

Since time cannot be negative, we take the positive square root:

t = √8 ≈ 2.83 seconds

Therefore, it will take the rock approximately 2.83 seconds to reach the river.

Answer:

8.15 miles

Step-by-step explanation:

5.95+2.2=8.15

Answer:

31

Step-by-step explanation:

if the lenght is 10(×2), the width is 3 and the height is 4(×2). The sum of 20, 3,and 8 will be 31. That is the answer

The chi-square goodness-of-fit test can provide information on categorical data match an expected distribution and which categories are contributing to any deviation from that distribution.

The chi-square goodness-of-fit test is a statistical test used to determine whether a set of observed categorical data matches an expected distribution. Specifically, the test compares the observed frequencies of each category to the expected frequencies based on a hypothesized distribution, and calculates a chi-square statistic. This statistic measures the degree of difference between the observed and expected frequencies, with larger values indicating greater deviation from the expected distribution. If the chi-square statistic is large enough to reject the null hypothesis (i.e., the observed data do not match the expected distribution), the test can provide information on which categories are contributing the most to the discrepancy. This can help identify which categories are over-represented or under-represented in the observed data, and can inform further investigation into potential causes of the deviation. In summary, the chi-square goodness-of-fit test can provide information on whether observed categorical data match an expected distribution and which categories are contributing to any deviation from that distribution.

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a. The velocity vector is given by vˉ = -2sin(2t) y^ + 2sin(t) z^. The speed is Speed = 2√(sin^2(2t) + sin^2(t)).

b. The acceleration vector is aˉ = -4cos(2t) y^ + 2cos(t) z^.

Let us discuss in a detailed way:

a. The velocity vector can be obtained by differentiating the position vector with respect to time:

vˉ = d/dt (rˉ)

  = d/dt (cos(2t) y^) - d/dt (2cos(t) z^)

  = -2sin(2t) y^ + 2sin(t) z^

The speed, which is the magnitude of the velocity vector, can be calculated as follows:

Speed = |vˉ|

        = √((-2sin(2t))^2 + (2sin(t))^2)

        = √(4sin^2(2t) + 4sin^2(t))

        = 2√(sin^2(2t) + sin^2(t))

b. The acceleration vector can be obtained by differentiating the velocity vector with respect to time:

aˉ = d/dt (vˉ)

  = d/dt (-2sin(2t) y^) + d/dt (2sin(t) z^)

  = -4cos(2t) y^ + 2cos(t) z^

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Answer:

44/100

Step-by-step explanation:

11/25

We want the denominator to be 100

100/25 =4

so multiply the top and bottom of the fraction by 4

11/25 * 4/4 = 44/100

Answer:

Step-by-step explanation:

The difference of sales between the first and the second days is the cost of 85 tickets:

Cost of a ticket:

Find the slope of these two points that's the cost

Slope

The volume of the given pyramid is 15 cubic units.

The volume of a pyramid can be found by using the formula;

V = 1/3Bh

where V is the volume of the pyramid,

B is the area of the base of the pyramid, and h is the height of the pyramid.

Given that the pyramid has a square base of area 9 and height 5, the volume of the pyramid can be calculated as follows;

B = 9h = 5

Using the formula above; V=1/3BhV=1/3(9)(5)

V=15 cubic units

Therefore, the volume of the given pyramid is 15 cubic units.

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Therefore, the volume of the given pyramid is 15 cubic units

Find the volume of the given pyramid, which has a square base of area 9 and height 5.

The question can be answered as follows:

Given data:The pyramid has a square base of area 9

Height (h) = 5

Formula:

Volume of the pyramid = 1/3 × area of base × height (h)

Formula for the area of a square:

Area of square = a²

Here, the length of the side (a) of the square base is √9 = 3 units.

Area of base = 3² = 9 sq units.

Volume of the pyramid = 1/3 × 9 sq units × 5

Volume of the pyramid = 15 cu units

Therefore, the volume of the given pyramid is 15 cubic units.

Notes:When answering questions, it is important to be concise and to the point, providing only relevant information.

In this answer, all of the given data was used to find the volume of the pyramid using the formula given.

The formula was written out, and the steps were shown to demonstrate how the final answer was obtained.

Finally, the units were provided to give a complete answer.

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Each additional year of education is associated with a $2.4 increase in hourly wage/salary.

According to the given regression results, the estimated linear regression equation is:

WAGEi = -10.7 + 2.4EDUCi

In this equation, "WAGEi" represents the wage/salary (in dollars per hour) for individual i, and "EDUCi" represents the number of years of education for individual i.

The coefficient associated with "EDUCi" is 2.4.

This coefficient indicates that for every additional year of education, there is an expected increase in the wage/salary of $2.4 per hour.

Therefore, according to this model, each additional year of education is associated with a $2.4 increase in hourly wage/salary.

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Answer:D

Step-by-step explanation:

Answer:

\(\frac{41}{28}\)  

I hope this helps!

Answer:

Don't mind me just racking my brainly points

Step-by-step explanation:

yessir