In one tailed T-test, if the test statistics ist and to is the t-value under null hypothesis, then p-value = Prít > to alternate hypothesis is true) if ty > O and p-value = Pr(t < to alternate hypothesis is true) if to < 0. O True O False U

Given

triangle ABC is similar to triangle XYZ

Find

length of side b

Explanation

Since both triangles are similar. So ratio of there sides will be equal

Final Answer

Length of side b is 12

Answer:

a) .38 × 2,450 = 931 people buy the local newspaper.

b) 2,450 - 931 = 1,519 people do not buy the local newspaper.

Answer:

7x = x - 4 (or 6x = -4 if you want to simplify)

Step-by-step explanation:

However, I can still give you some general steps to solve a math problem in 200 words.

Step 1: Read the problem thoroughly and understand what it's asking you to find. This may involve identifying the given information and what you need to find. Also, identify any constraints on the problem, like time or cost.

Step 2: Plan how to solve the problem. Think about what mathematical operations or formulas you can use to find the answer. Make a list of the steps you need to take to solve the problem. Also, determine the units for your answer.

Step 3: Solve the problem. Use the mathematical operations or formulas you've identified in step 2 to find the answer. Show all of your work, including any calculations, so that you can easily check your work later.

Step 4: Check your answer. Make sure that your answer makes sense and that it satisfies any constraints given in the problem. Also, check that your units are correct. If your answer doesn't make sense, go back and review your work to see if you made an error.

Step 5: Reflect on what you've learned. Think about what you did well and what you could improve upon in future problem-solving situations. This will help you become a more effective problem solver in the future.

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The equation of a line parallel to the given line and passing through the point (0, 8) is 5y - 3x = 40

The equation of a line in point-slope form is expressed as;

y - y0 = m(x -x0)

where

m is the slope

(x0, y0) is the point on the line

Given the following parameters

Point (0,8)

Slope from the equation = 3/5

Substitute

y - 8 = 3/5(x - 0)
5(y -8) =3x

5y - 40 = 3x

5y - 3x = 40

Hence the equation of a line parallel to the given line and passing through the point (0, 8) is 5y - 3x = 40

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He doesn't need a truck. He can buy an aeroplane.

Answer:

Jorgen would still have enough money for the truck.

Step-by-step explanation:

Seeing as - (or negative) 0000000000000... isn't a real number and you put a comma after the 123456789, Jorgen would actually have enough for the truck. If you actually wanted the truck to be worth 123456789000000000... Jorgen would need to save up more than 9 octovigintillion to reach his goal of getting the truck, and that is one expensive truck.

how many different types of omlettes can be prepared with 10 ingredients? 7

Answer:

1024 omelets

Step-by-step explanation:

2^10 = 1024

Answer:

The manager is not correct in her calculation.

Step-by-step explanation:

There are 244 males and n females who entered the mall as the manager at the shopping mall counts.

If 25% of all males are children, then the number of male children are .

Again, the 25% of all female are children, then the number of female chilfren are .

Therefore, the total number of children will be (60 + 0.25n).

But the manager gives the number of children to be 0.25n + 61 who entered the mall.

So, the manager is not correct in that calculation. (Answer)

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is a test of 2 independent groups. The population standard deviations are not known. Let μ1 be the mean daily car rental rates for Boston and μ2 be the mean daily car rental rates for Dallas.

The random variable is μ1 - μ2 = difference in the mean daily car rental rates for Boston and the mean daily car rental rates for Dallas

We would set up the hypothesis.

The null hypothesis is

H0 : μ1 = μ2 H0 : μ1 - μ2 = 0

The alternative hypothesis is

H1 : μ1 > μ2 H1 : μ1 - μ2 > 0

Since sample standard deviation is known, we would determine the test statistic by using the t test. The formula is

(x1 - x2)/√(s1²/n1 + s2²/n2)

From the information given,

μ1 = 47

μ2 = 44

s1 = 3

s2 = 3

n1 = 8

n2 = 9

t = (47 - 44)/√(3²/8 + 3²/9)

t = 1.41

The formula for determining the degree of freedom is

df = [s1²/n1 + s2²/n2]²/(1/n1 - 1)(s1²/n1)² + (1/n2 - 1)(s2²/n2)²

df = [3²/8 + 3²/9]²/[(1/8 - 1)(3²/8)² + (1/9 - 1)(3²/9)²] = 4.515625/0.28571428571

df = 16

We would determine the probability value from the t test calculator. It becomes

p value = 0.09

Since alpha, 0.05 < than the p value, 0.09, then we would fail to reject the null hypothesis.

We know that for an equation of the form:

the axis of symmetry is given by:

In this case, where our formula is given by the equation:

we want to multiply all the factors so we can work with the form of the first equation. We do this using the distributive property:

0.5 (x + 3) = 0.5 · x + 0.5 · 3

= 0.5x + 1.5

Then, in the equation:

Now, multiplying both (0.5x + 1.5) and (x - 7) we have that:

Now, finding the product of

(0.5x + 1.5)x, we have that:

Replacing in the equation:

On the other hand, finding the product of

-(0.5x + 1.5) · 7,we have that

-(0.5x + 1.5) · 7 = -0.5x · 7 - 1.5 · 7

= -3.5x - 10.5

Replacing in the equation:

Then, we have that

a = 0.5,

b = -2

and

c = -10.5

Then, using the equation for the axis of symmetry, we have that:

Answer:

Amount of food need for 30 days = 14.4 kilogram

Step-by-step explanation:

Given information:

Amount of food dog eat each day = 0.48 kilogram

Find:

Amount of food need for 30 days

Computation:

⇔ Amount of food need for 30 days = Amount of food dog eat each day x number of days

⇔ Amount of food need for 30 days = 0.48 x 30

Amount of food need for 30 days = 14.4 kilogram

14.4 kilogram is right answer.

Answer:

277 cm

Step-by-step explanation:

\(A=l*w\\3,878=l*14\\l=\frac{3,878}{14} \\l=277\)

Let x and y be the amounts (in mL) of the 4% and 15% solutions, respectively, that the scientist needs to use.

He wants to end up with a 44 mL solution, so

x + y = 44 mL

Each milliliter of 4% solution contains 0.04 mL of acid, while each mL of 15% contains 0.15 mL of acid. The resulting solution should have a concentration of 12%, so that each mL of it contains 0.12 mL of acid. Then the solution will contain

0.04x + 0.15y = 0.12 × (44 mL) = 5.28 mL

of acid.

Solve for x and y. In the first equation, we have y = 44 mL - x, and substituting into the second equation gives

0.04x + 0.15 (44 mL - x) = 5.28 mL

0.04x + 6.6 mL - 0.15x = 5.28 mL

1.32 mL = 0.19x

x ≈ 6.95 mL

==>   y ≈ 37.05 mL

Answer:

the correct answer is 193

Step-by-step explanation:

25×1-0=25

25×2-1=49

49×2-1=97

97×2-1=193

multiplication of the gradients of the two diagonals is equals to -1 if they are perpendicular

Answer:

first graph

Step-by-step explanation:

x > n

the graph will have an open circle at the value n , indicating that x cannot equal n ( note solid circle if x ≥ n )

the arrow from n will point in the right direction, indicating values of x greater than n.

the graph representing x > n is the first graph

At 4:00 pm, the distance between the ships changing at 9.81 km/h

In this question we hve been given that at noon, ship A is 150 km west of ship B.

Ship A is sailing east at 30 km / h and ship B is sailing north at 20 km / h, We need to determine how fast is the distance between the ships changing at 4:00 PM.

The displacement of ship A at 4pm is

= 150 km - (30 km/h * 4h)

Since A is moving away from the initial position and the distance between the two ships is decreasing.

= 140 km - 120 km

= 20 km

The displacement of ship B at 4pm would be,

20 km/h * 4h = 80 km

Using Pythagoras theorem, the resultant displacement of the two ships at 4pm would be,

r² = a²   +  b²

r² = 20²  +  80²

r = √6800

r = 82.46 km

The rate of change of this distance is calculated as;

r² = a²   +  b²

2r(dr/dt) = 2a(da/dt) + 2b(db/dt)

r(dr/dt) = a(da/dt) + b(db/dt)

r = 101.98 km, a = 20 km, b = 80 km

101.98(dr/dt) = 20(-30) + 80(20)

101.98(dr/dt) = 1000

(dr/dt) = 1000/101.98

dr/dt = 9.81 km/h

Therefore, the distance between the ships changing at 9.81 km/h

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Answer:

a)9. b) 12

Step-by-step explanation:

a) | -6 -3 | .

-6-3 = -9

|-9| =9

b) | 0 - 12 |.

0-12=-12

|-12|=12

Answer:

A) 1/4=X/64

Step-by-step explanation:

It's 1 person every 4 square feet on the floor area so 1/4 would represent that and since we don't know the number of people that fit on 64 square feet on the floor area it would be x/64.

Hope that helps!

Answer:

v = 13

Step-by-step explanation:

because they are supplementary angles they add up to 180

so

add them

and put them equal to 180

9v + 3 + 60 = 180

combine like terms

9v + 63 = 180

now subtract 63 to both sides

9v = 117

divide 9 to both sides

v = 13

that is your answer

Answer: $4,998

Step-by-step explanation:

34000*1.147

38998-34000=4998

Answer:

193 1/3

Step-by-step explanation:

First, we need to convert \(\frac{145}{3}\) into a mixed number.

Now, we can add them together:

Therefore, the answer is \(193\frac{1}{3}\).

The probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.

Since the probability density function is uniform, the probability of the friend being between 10 and 30 minutes late is equal to the area of the rectangle that lies between x = 10 and x = 30, and below the curve of the probability density function.

The height of the rectangle is equal to the maximum value of the probability density function, which is 1/30 since the interval of possible values for x is [0, 30] minutes.

The width of the rectangle is equal to the difference between the upper and lower limits of the interval, which is 30 - 10 = 20 minutes.

Therefore, the probability of the friend being between 10 and 30 minutes late is:

P(10 < x < 30) = (height of rectangle) x (width of rectangle)

= (1/30) x 20

= 2/3

≈ 0.6667

So the probability that the friend is between 10 and 30 minutes late is approximately 0.6667, or 66.67%.

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Answer:

\(volume = 502.4ft^3\)

Step-by-step explanation:

\(volume = \pi r^2 h = 3.14 \times 4^2 \times 10 = 502.4ft^3\)

\(\tt{Hey~there!\)

\(\tt{2x+6=10+x\)

\(\tt{Simplify~both~sides~of~the~equation:\)

\(\tt{2x+6=x+10\)

\(\tt{Subtract~x~from~both~sides:\)

\(\tt{2x+6-=x+10-x\)

\(\tt{x+6=10\)

\(\tt{Subtract~6~from~both~sides:\)

\(\tt{x+6-6=10-6\)

\(\boxed{\tt{x=4}}\)

\(\tt{Hope~this~helps!\)

\(\boxed{\tt{-TestedHyperr}}\)

Answer:

hopefully this helps:)

Answer:

23/36 (can't be simpified)

Step-by-step explanation:

3/4 - 7/9 + 2/3

All of the denominators have to be the same in order to do these operations.

How do we get the denomiators to be the same?

We find the least commom multiple (LCM) of of 4, 9, and 3.

The LCM is 36.

Now, let's stop here for a moment. How did we get the LCM? We have to find a number that all the denominators go into evenly. But how do we do that?

We can multiply four and three, and we get twelve.  But what about nine? Does nine go into twelve evenly? No; therefore twelve isn't the LCM.  Now let's try multiplying nine and three. Nine times three is twenty-seven, but four can't evenly go into twenty-seven. Because of this, twenty-seven isn't the LCM. Lastly, let's try multiplying four and nine. Four times nine is thirty-six, but does three go into thirty-six? Because three times twelve is thirty-six, we have found our LCM.

You can do it this way, but there is an easier way to solve the problem.

All you have to do is multiply the denominators (in this case, it would be four, nine, and three) and you have your common multiple.  But be aware! If you do this all the time, you won't always find the least common multiple.  After you have solved the problem, the answer may need to be simplified.  But, after you simplify, the answer will be the same as if you did it the other way.

Now, we have it where the denominators of ALL the fractions are 36.  But  we are still not done here.

?/36 - ?/36 + ?/36

Lets look at the first fraction.  The original denominator was 4.

In order to get the numerator, ask yourslef this:

How did we go from four to thirty-six?

You then think:

Four times what is thirty-six?

or

Thirty-six divided by four is what?

The answer: nine

Four times nine is thirty-six

Thirty-six divided by four is nine

Our next step:

Because we multiplied four by nine, we are going to multiply the numerator (three) by nine

Therefore, we have 3 times 9 in the numerator, which becomes 27.

27/36 - ?/36 + ?/36

We now look at the second fraction. The original denominator was 9.

How did we go from nine to thirty-six?

Nine times what is thiry-six?

Nine times four is thirty-six.

We multiplied nine and four, so we're going to multiply the numerator (seven) by four

Therefore, we have 7 times 4 in the numerator, which becomes 28.

27/36 - 28/36 + ?/36

Lastly, we look at the last fraction. The original denominator was 3.

How did we go from three to thirty-six?

Three times what is thirty-six?

Three times twelve is thirty-six.

We multiplied three and twelve, so we're going to multiply the numerator (two) by twelve

Therefore, we have 2 times 12 in the numerator, which becomes 24.

Yassss! We now have our problem that we can finally solve!

27/36 - 28/36 + 24/36

-1/36 + 24/36

23/36

We get -1/36 by subtracting 27/36 and 28/36.  When we do this, the denominator stays the same. So really, we're subtracting 27 and 28, which is -1.

We then need to add -1/36 and 24/36, but once again, the denominators stay the same.  So really, we're adding -1 and 24, which is 23.

Hope this helps! Let me know if you have any questions! :)

Since the function is a normal distribution, we can use the z-score formula shown below

In our case,

Then, set x=92 and solve for Z

Using a z-score table, the cumulative probability of Z=24/23 is

Finally,

Thus, the answer is 0.1492, which is equivalent to 14.92%; rounded to the nearest percentage, the answer is 15%

Answer:

A)What is the product of 2x -5 and 3x^2 + 5x - 7? Write your answer in standard form.

6x³ - 5x² - 39x + 35 = 0

B. Is the product of 2x -5 and 3x^2 + 5x -7 equal to the product of 5x - 2 and 3x^2 + 5x - 7?

No it is not.

Step-by-step explanation:

A)What is the product of 2x -5 and 3x^2 + 5x - 7? Write your answer in standard form.

(2x - 5) (3x² + 5x - 7)

= 2x(3x² + 5x - 7) -5(3x² + 5x - 7)

= 6x³ + 10x² - 14x -15x² - 25x +35

Collecting like terms

= 6x³ +10x² - 15x² - 14x - 25x +35

= 6x³ - 5x² - 39x + 35

In standard form

6x³ - 5x² - 39x + 35 = 0

B. Is the product of 2x -5 and 3x^2 + 5x -7 equal to the product of 5x - 2 and 3x^2 + 5x - 7?

First we find the product of

5x - 2 and 3x² + 5x - 7?

(5x - 2) (3x² + 5x - 7)

5x(3x² + 5x - 7) -2(3x² + 5x - 7)

15x³ + 25x² - 35x - 6x² -10x + 14

Collect like terms

15x³+ 25x² - 6x² -35x - 10x + 14

15x³ + 19x² - 45x + 14 = 0

Hence, the product of 5x - 2 and 3x^2 + 5x - 7

= 15x³ + 19x² - 45x + 14 = 0

The product of 2x -5 and 3x^2 + 5x -7 = 6x³ - 5x² - 39x + 35 = 0

Comparing both products, we can see that

The product of 2x -5 and 3x^2 + 5x -7 ≠ the product of 5x - 2 and 3x^2 + 5x - 7