Millions of households use fluorescent light bulbs each year. A certain brand of light bulb has a mean life of 1000 hours. A manufacturer claims that its new brand of bulbs has a mean life of more than 1000 hours. Twenty bulbs are tested, which results in a mean of 1075 hours with a standard deviation of 150 hours. Perform a test of hypothesis at the 1% level of significance. Assume the sample was taken from a normal population.

Answer:

Step-by-step explanation:

It should be noted that the standard algorithm to solve 249 x 11 will give you a value of 2739.

It should be noted that the standard algorithm simply means the way of multiplication that has to do with partial fractions or multiplication of the numbers in parts.

It should be noted that this is illustrated as multiplying the top number with the bottom number a digit at a time.

Therefore, it should be noted that the standard algorithm to solve 249 x 11 will give a value of 2739. This van be illustrated as:

249 × 11 = (250 × 11) - (1 × 11)

= 2750 - 11

= 2739

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Answer:

It's 40

Step-by-step explanation: Fortunately for you I risked my test for you and ended up getting the correct answer of course^0^

Answer:

40

Step-by-step explanation:

Answer: (2.4, -12.8)

Step-by-step explanation:

Salary = a + b(Year)

A recent study on basketball players examined a number of variables, including the variable years, which refers to the number of years they have been playing basketball, and the variable salary, which refers to the average salary of each player. What is the regression line for predicting salary from years? A regression line is used to predict a dependent variable's value based on the independent variable's value. In the example given, the dependent variable is the average salary of basketball players, whereas the independent variable is the number of years they have been playing basketball. The regression line equation can be expressed as follows:Salary = a + b(Year)In the equation above, a is the y-intercept, which refers to the point where the regression line crosses the y-axis, and b is the slope of the regression line. b represents the amount by which the dependent variable (Salary) changes when the independent variable (Year) increases by one unit. If we know the values of a and b, we can use the regression line to predict a player's salary based on the number of years they have been playing basketball. Therefore, the regression line for predicting salary from years can be expressed as follows: Salary = a + b(Year)

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Answer: No

Step-by-step explanation:

Because Mode is not the best centre of tendency use for statistical data. And mode cannot be used for average.

Mean should be used for average values

Answer:

da ba dee da ba doo im blue

Step-by-step explanation:

Grace made a dot plot showing the distances she ran each day for two weeks.

She says that she usually runs 7 miles each day because that is the distance that occurs most often.

Do you agree with Grace’s reasoning?

Use the drop-down menus to explain and show your answer.

Dot plot named as ALTDCDistances RunALTDC has number line from 1 to 7. 1 dot on 1, 3 dots on 2, 3 dots on 3, 3 dots on 4 and 4 dots on 7 are given.

The mode, which is (3,4, or 7) ,(is or is not) a typical distance for the data. The median, which is (3.5,4, or 7),(is or is not) a typical distance for the data. The mean, which is (3,4, or 7) ,(is or is not) a typical distance for the data. So, Grace’s reasoning(is or is not ) correct.

Answer:

-2 1/4, -1 1/4, 3/4, abs val 1 1/4, abs val -1 3/4, abs val - 2 1/4

Step-by-step explanation:

When you factor in the abs val, which look like a number stuck between two lines, you measure the distance of the number from zero which is ALWAYS POSITIVE. Therefore, change all the numbers inside abs val signs into positive numbers of the same value, for example abs val -1 3/4 would become 1 3/4 and arrange them from least to greatest.

The side of a rectangle is perpendicular to the pair of adjacent sides.

STRP is a rectangle

The coordinates of the rectangle are:

\(S = (-2,3)\)

\(T = (-1,4)\)

\(R = (4,-1)\)

\(P = (3,-2)\)

See attachment for the rectangle

Using the attached figure as a guide

The slope is calculated as:

\(m = \frac{y_2 - y_1}{x_2-x_1}\)

So, we have:

\(m_{ST} = \frac{4-3}{-1--2} = \frac{1}{1} = 1\)

\(m_{PR} = \frac{-2--1}{3-4} = \frac{-1}{-1} = 1\)

\(m_{PS} = \frac{-2-3}{3--2} = \frac{-5}{5} = -1\)

\(m_{RT} = \frac{-1-4}{4--1} = \frac{-5}{5} = -1\)

The first set of conditions are met, because

\(m_{ST} = m_{PR} = 1\)

\(m_{RT} = m_{PS} = -1\)

Next, the following must be true:

\(m_{ST} \times m_{RT} = -1\) ---- this proves that adjacent sides are perpendicular

So, we have:

\(1 \times -1= -1\)

\(-1= -1\)

The above equation is true.

Hence, STRP is a rectangle

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The value of x in the chord intersection is 16 units.

The intersecting chord theorem  states that the products of the lengths of the line segments on each chord are equal. In other words, If two chords intersect in a circle , then the products of the measures of the segments of the chords are equal.

Therefore, lets find the value of x in the intersecting chords as follows:

15 × x = 24 × 10

15x = 240

divide both sides of the equation by 15

x = 240 / 15

x = 16

Therefore,

x = 16 units

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In summary d²y/dx² in terms of x and y is given by: d²y/dx² = 3/2 x + 1/4 y

Why is it?

To find d²y/dx², we need to differentiate the given differential equation with respect to x:

dy/dx = x² - 1/2 y

Differentiating both sides with respect to x:

d²y/dx² = d/dx(x² - 1/2 y)

d²y/dx² = d/dx(x²) - d/dx(1/2 y)

d²y/dx² = 2x - 1/2 d/dx(y)

Now, we need to express d/dx(y) in terms of x and y. To do this, we differentiate the original differential equation with respect to x:

dy/dx = x² - 1/2 y

d/dx(dy/dx) = d/dx(x² - 1/2 y)

d²y/dx² = 2x - 1/2 d/dx(y)

d²y/dx² = 2x - 1/2 (d²y/dx²)

Substituting this expression for d²y/dx² back into our previous equation, we get:

d²y/dx² = 2x - 1/2 (2x - 1/2 y)

d²y/dx² = 2x - x/2 + 1/4 y

d²y/dx² = 3/2 x + 1/4 y

Therefore, d²y/dx² in terms of x and y is given by:

d²y/dx² = 3/2 x + 1/4 y

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Answer:

Second choice

Step-by-step explanation:

Analyse each sentences: The sum of x and y is 5 can be mathematically expressed as \(\displaystyle{x+y = 5}\) since both are sum together and equal to 5.

Next, the value of y is one more than value of x can be mathematically expressed as \(\displaystyle{y=x+1}\) because value of y is one more than value of x so y will be the value of x add with 1.

Therefore, form the simultaneous equation:

\(\displaystyle{\left \{ {{x+y=5} \atop {y=x+1}} \right}\)

Hence, the answer is second choice.

The critical value is 1.99 and the null hypotheses is μ - μ₂ = 0 and alternative hypotheses for this test is μ - μ₂ ≠ 0.

According to the statement

we have given that the sample of songs is 50. and the average of hip hop is μ₂.

For this purpose, we know that the

Sara and matt would like to know if the average length of the hip hop songs say μ₁ differ from the average of the hip hop songs say μ₂. It means μ₁ ≠ μ₂.

so, The null and alternative hypothesis value are:

H(null) = μ - μ₂ = 0 And

H (alternative) = μ - μ₂ ≠ 0.

From this it is clear that the this the value of hypothesis.

So,

Now, Let the degree of freedom be a x.

Then

At \(\alpha = 0.05\) then the value of k is 80,.

Then the critical value is

\(t = (\frac{\alpha }{2} , k) = 1.99\)

Here the critical vale is 1.99.

So, The critical value is 1.99 and the null hypotheses is μ - μ₂ = 0 and alternative hypotheses for this test is μ - μ₂ ≠ 0.

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Disclaimer: This question was incomplete. Please find the full content below.

Question:

Sara is a big hip-hop music fan. Her friend Matt is a big rap music fan. They each have a huge library of songs in their digital music libraries. They each randomly sample 50 songs from their libraries and record the lengths of the songs selected. The average of the selected hip hop songs was *, - 245 seconds with a sample standard deviation of 5 seconds. The average of the selected rap songs was X - 275 seconds with a sample standard deviation of 6 seconds. They would like to know if the average length of hip-hop songs is different than the average length of rap songs. (a) What are the appropriate null and alternative hypotheses for this test? (b) Assume for purposes of this study, the degrees of freedom are 80. At a 5% significance level, what is the critical value for the test?

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Answer:

< x = 120°

Step-by-step explanation

Step 1:

According to angle sum property,

y + 50 + 70 = 180

Step 2:

x and y are linear pairs, forming a supplementary angle.

Therefore,

x + y = 180

Step 3:

Since they are both equal to 180, equate the values

y + 50 + 70 = x + y

x = 70 + 50

x = 120

Hey there!

3.0 * 10^8

= 3.0 * 10 * 10 * 10 * 10 * 10 * 10 * 10 * 10

= 3.0 * 100 * 100 * 100 * 100

= 3.0 * 10,000 * 10,000

= 3.0 * 100,000,000

= 300,000,000

Therefore, your answer is:

300,000,000

Good luck on assignment & enjoy your day!

~Amphitrite1040:)

Answer:

after 3 half lives the amount should be reduced to 19.375g

Step-by-step explanation:

after the first half life , amount left =

155÷2

= 77.5g

2nd half life

77.5÷2

=38.75g

3rd Half life

38.75÷2

=19.375g

Answer: angle dce is the angle that is vertical

If income growth is higher in the United States, the dollar would appreciate and the British pound would depreciate.

If inflation is higher in Britain, the dollar would appreciate and the British pound would depreciate.

If real interest rate is higher in the United States, the dollar would appreciate and the British pound would depreciate.

Exchange rate is the relative value of two or more currencies. When a currency appreciates, it means that one unit of that currency is buying more units of another currency. When a currency depreciates, it means that one unit of that currency is buying less units of another currency.

If income growth is higher in the United States, it indicates that the economy is growing. As a result the dollar would appreciate in value.

Inflation is when there is a persistent rise in the general price levels. Inflation decreases the purchasing power of currency. Thus, if inflation is higher in Britain, the British pound would depreciate.

If real interest rate is higher in the United States, more investors would want to invest in the US. This would increase the demand for the dollar. As a result, the US dollar would appreciate in value.

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Answer:

246

Step-by-step explanation:

271-25=246

Answer:

See explanation below

Step-by-step explanation:

This equation is not a linear equation because you are squaring a variable. If you square a variable it is not linear anymore but a quadratic. A linear equation is a line with a constant amount of growth all the time, but if you square the variable it will grow/dip exponentially

Answer:

B

Step-by-step explanation:

You would add the 2.75 and 4.99 to get 7.74 and you would add the variable for how much widgets are made and since its the profit you would have to add the 2,000 so the equation would be P(w) = 7.74w + 2,000

Hope this helps

(oﾟvﾟ)ノ

Answer: y= 116x

Step-by-step explanation:

Answer:

X=0 or x=-5

Step-by-step explanation:

\( {x}^{2} + 5x = 0 \\ x(x + 5) = 0\)

X=0 or x+5=0 => X=-5

Hope this helps..

The interquartile range is a useful tool for measuring variability in a set of data because it overcomes the difficulty of the range being influenced too much by extreme values

The interquartile range is a measure of variability that is commonly used in statistics to describe the spread of a set of data. It is particularly useful because it overcomes the difficulty of the range being influenced too much by extreme values.

In mathematical terms, the interquartile range is defined as the difference between the upper quartile (Q3) and the lower quartile (Q1).

The upper quartile represents the 75th percentile of the data and the lower quartile represents the 25th percentile of the data.

This means that 25% of the data falls below the lower quartile and 75% of the data falls above the upper quartile.

The interquartile range provides a better representation of the spread of the data because it eliminates the influence of extreme values.

These values, also known as outliers, can have a significant impact on the range and can make it appear as though the data is more spread out than it actually is.

By using the interquartile range, the outliers are excluded and a more accurate representation of the spread of the data is obtained.

Therefore, option (a) is correct.

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Distance between them and their destination after 3.7 hours since entering the freeway is 608 miles and the distance between them and their destination after 2.3 hours since entering the freeway is 692 miles.

We know that the relationship between speed, distance, and time is given as,

Speed = distance/time

Speed = 60 miles an hour

Time = 3 hours

We know that Don and Ana are travelling at a constant speed and they are travelling for 3 hours.

Distance = speed × time

Distance = 60 × 3

Distance = 180 miles

Thus, the distance travelled by them in 3 hours is 180 miles.

We know that Don and Ana are travelling on the freeway for the past 3 hours and they are still 650 miles away, therefore,

Total Distance from their destination

= Distance travelled by them in 3 hours + 650 miles

= 180 miles + 650 miles

= 830 miles

Thus, the distance travelled by then is 830 miles.

Now, the distance between them and their destination after 3.7 hours since entering the freeway,

Distance travelled by them = speed x 3.7 = 60 x 3.7 = 222 miles

Distance between them and the destination

= Total Distance from their destination - Distance travelled by them

= 830 miles - 222 miles

= 608 miles

Therefore, they are 608 miles far from their destination.

And, Distance between them and their destination after 2.3 hours since entering the freeway,

Distance travelled by them = speed x 2.3 = 60 x 2.3 = 138 miles

Distance between them and the destination

= Total Distance from their destination - Distance travelled by them

= 830 miles - 138 miles

= 692 miles

Therefore, they are 692 miles far from their destination.

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Answer:  $19.50

Step-by-step explanation:

Answer:

It costs $15 a month to play the video game.

The initial cost is $45.

The y-variable represents the cost in dollars.

The x-variable represents the number of months.

Step-by-step explanation:

If you break the function down, you're going to have:

Total = Monthly Cost + Initial Cost

In this case, 15x is your monthly cost, as you can think of x as the number of months meaning:

Our initial cost is always going to be a set amount, thus our constant, $45.

This leaves y as our total, which makes sense, as it's all alone on one side of the equation, where as all the costs are bunched together on the right side.

Hope this helps!

Answer:

-4721613632.87 or -4721613632.9 or -4721613633

Step-by-step explanation:

10x9.2^-13 = 10x-472161363.287 = -4721613632.87 or you can round -4721613632.9 or -4721613633

Step-by-step explanation:

guessing

volume is always unit cubed

so in this case inches cubed or in^3

so multiply all 3 numbers

carry on is 22×14x9= 2772 in^3

leather is 18×12×8 = 1728 in^3

canvas is 18×15×10 = 2700 in^3 but the depth in ge's canvas 15" in larger than the carry on checklist

so

the leather will definitely fit