For a standard normal distribution, find:P(-1.57 < z < 1.59)Express the probability as a decimal rounded to 4 decimal places.

Answer:

B(6, 5), C(1, -7)

Step-by-step explanation:

A(2, 5)

From A to B, there is translation x, (4, 0).

Add 4 to A's x-coordinate, and add 0 to A's y-coordinate.

B(2 + 4, 5 + 0) = B(6, 5)

From C to B there is the translation y, (5, 12).

Since we are going from B to C, we undo translation y.

The translation from B to C is (-5, -12).

C(6 - 5, 5 - 12) = C(1, -7)

The initial expression is:

2 ( y - 11 ) = 16

Using the distributive property:

2y - 2*11 = 16

2y - 22 = 16

Adding 22 on both sides:

2y - 22 + 22 = 16 + 22

2y = 38

Dividing by 2 on both sides:

Answer: y = 19

The false statement from the stem-and-leaf plot is given as follows:

b. The data for Paul’s group has two modes.

The stem-and-leaf plot lists all the measures in a data-set, with the first number as the key, for example:

4|5 = 45.

The mode of a data-set is the data-set that appears the most times in a data-set.

Hence, for Paul's group, the mode is given as follows:

44.

As it is the only observation that appears the times, hence the data has one mode, and option b gives the false statement.

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The surface area of the figure is approximately 997.5π cm².

We have,

The figure has two shapes:

Cone and a semicircle

Now,

The surface area of a cone:

= πr (r + l)

where r is the radius of the base and l is the slant height.

Given that

r = 15 cm and l = 19 cm, we can substitute these values into the formula:

= π(15)(15 + 19) = 885π cm² (rounded to the nearest whole number)

The surface area of a semicircle:

= (πr²) / 2

Given that r = 15 cm, we can substitute this value into the formula:

= (π(15)²) / 2

= 112.5π cm² (rounded to one decimal place)

The surface area of the figure:

To find the total surface area of the figure, we add the surface area of the cone and the surface area of the semicircle:

Now,

Total surface area

= 885π + 112.5π

= 997.5π cm² (rounded to one decimal place)

Therefore,

The surface area of the figure is approximately 997.5π cm².

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X= 4 this solution is valid

X= 20 this solution is valid

Answer: 4x + 42 < 50

Step-by-step explanation: $42 is the flat price so that is our constant; $4 per gigabyte is our variable. If she wants to keep her bill UNDER $50 dollars a month you would put a less than symbol.

Answer:

Step-by-step explanation:

i did the work and i got 4x + 42 < 50

Answer:

B and D

Step-by-step explanation:

If you are dividing by 2/9, that means you are multiplying by 9/2.

This can be split into multiplying by 9 and then dividing by 2, or multiplying by 9 and multiplying by 1/2.

Therefore, B and D work

Answer:

35 degrees

Step-by-step explanation:

a triangles angles add up to 180 degrees

if 4 is 35 degrees then what is 3

90 - 35 = 55

1 = 90

90 + 55 = 145

180 - 145 = 35

2 = 35 degrees

try math it helps alott

Answer: 162%.

Step-by-step explanation:

To find the percentage increase in points, we need to calculate the difference between the two values, divide it by the original value, and then multiply by 100 to get the percentage.

The difference between Patrick's old score and his new score is:

328 - 125 = 203

The percentage increase is:

203/125 x 100% = 162.4%

Rounded to the nearest whole number, the percentage increase is 162%.

Answer is in the photo. I can only upload it to a file hosting service. link below!

tinyurl.com/wpazsebu

Hello here would be your answers:

mean: 13.6  

mediun: 15.5  

mode: 16

remember it like this

Mean is the average

Mode is the most often number

Range is when you subtract the smallest number from the largest number

Medium is the middle number when you line it up from the greatest to the least.

hope this helps!

Answer:

13 days

Step-by-step explanation:

51-25=26

26/2=13

Answer:

7 boxes

Step-by-step explanation:

We can use ratios to solve

12 bars            42 bars

----------    = ---------------

2 boxes      x boxes

Using cross products

12x = 2 *42

12x = 84

Divide by 12

12x/12 = 84/12

x = 7

Based on the above, the use of the distributive property, we get that 7 multiplied by 6 is one that is equal to 42.

In the above case, To solve the multiplication problem 7 * 6 using the distributive property, you can break it down into simpler operations.

The distributive property states that for any form of  numbers a, b, and c:

a * (b + c) = a x b + a x c

In the case of 7 x  6, we can rewrite it as:

7 x  6 = 7 x (5 + 1)

So one can use the distributive property to break down the expression:

7 x  (5 + 1) = 7 x 5 + 7 x 1

Hence 7 x  5 is equal to 35, and 7 x  1 is equal to 7, so we get :

7 x 6 = 35 + 7

Finally, we can do this:

7 x  6 = 42

Therefore, the use of the distributive property, we get that 7 multiplied by 6 is one that is equal to 42.

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Answer:

270m^2

Step-by-step explanation:

30m*18m/2 = 270m^2

Answer:

270

Step-by-step explanation:

Answer:

0.8

Step-by-step explanation:

Given that:

Speed of light = 3 * 10^8 m/s

Distance of sun to Mars = 230,000,000 meters

How many seconds does it take for sunlight to reach Mars?

Using the relation :

Speed = distance / time

Hence ;

Time = Distance / Speed

Time = 2.3 * 10^8 / 3 * 10^8

Time = 0.766

Time = 0.8 ( nearest tenth)

Answer:

3c4 Is equal to 12 because c means ×

a z-test for the proportional difference is the proper hypothesis test.

A hypothesis test can be used to find whether the deviation in proportions impacts the medication's effectivity. We may compare the secondary hypothesis—that the proportions are different—to the null hypothesis.

which states that the dimension of patients who show cut down blood pressure is the same for the two doses of the drug (50 mg and 100 mg).

Popular test statistics like the z-test can be applied to this hypothesis test and other statistical analyses.

\(z = (p1 - p2) / SE\)

where p1 and p2, for the 50 mg and 100 mg doses, respectively, are the sample proportions of patients who show fallen blood pressure, and SE is the standard error of the difference between the proportions.

the samples are assumed to be independent or dependent, impacts the SE formula. The samples in this instance are presumed to be independent because they came from various patients. Consequently, the equation for SE is:

\(SE = \sqrt(p1 \times (1 - p1)/n1 + p2 *\times(1 - p2)/n2)\)

here, the sample sizes for two doses is n1 and n2.

We can compute the z-test statistic based on the sample sizes and proportions and compare the result to a critical value or p-value to decide whether to accept or reject the null hypothesis.

Therefore, a z-test for the proportional difference is the proper hypothesis test.

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Answer:

0.000497010893

Answer:

(-3/2, 4)

Step-by-step explanation:

mid point formula

Based on the long division, the farmer plants 193 rows of corn plants and has 5 corn plants left over.

Answer choice B is correct.

Answer:

#1  (0,-4)

#2  (5,0)

#3  (3,1)

Step-by-step explanation:

#1.  (-3, 2) (0, y)  slope = -2

slope = rise/run    therefore slope = -2/1  or down 2 and over 1

so from -3 to 0 you are going over 3 units (or 3 times)  Therefore to find y at x=0, you have to move three steps, or 3 times -2 = -6      so 2-6 = -4

so y intercept (b)  = -4 0r (0,-4)

#2   (-7,-4)  (x,0)  slope (m) = 1/3   -7+12=5    x=5

#3   (4,-3)   (x, 1)   slope (m) = -4   (4/-1)   Moving one unit in slope  means

-3=4=1 for Y and 4-1=3 for X    therefore the point is (3, 1)

Answer:

Step-by-step explanation:

we can conclude that 2/3 is not equal to 4/5.

To determine if 2/3 is equivalent to 4/5, we can compare the fractions by checking if their ratios are equal. The ratio of 2/3 can be written as 2:3, while the ratio of 4/5 can be written as 4:5.

To check if the ratios are equal, we can cross-multiply and see if the products are equal. Cross-multiplying means multiplying the numerator of the first fraction with the denominator of the second fraction, and the numerator of the second fraction with the denominator of the first fraction.

For 2/3 and 4/5, we have:

2 * 5 = 10

3 * 4 = 12

Since 10 is not equal to 12, we can conclude that 2/3 is not equivalent to 4/5.

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The sum of the interior angles of a regular polygon with 9 sides will be 1260°. The correct option is A.

An angle is defined in mathematics as the figure formed by joining two rays at their common endpoint. An interior angle is an angle that exists within a shape. Polygons are closed shapes with sides and vertices. All of the interior angles of a regular polygon are equal.

Given that the number of the sides of the polygon is 9. The sum of the interior angles of the polygons will be calculated as,

Sum = ( n - 2 ) 180°

Sum = ( 9 - 2 ) 180

Sum = 7 x 180

Sum = 1260°

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Answer:

8.5 and 6

Step-by-step explanati

Answer:

W = 1.5t + 12

Step-by-step explanation:

i can give an explanation if you'd like!!

The solution of the compound inequality is x < 3/4 or x >2.

In mathematics, "inequality" refers to a relationship between two expressions or values that are not equal to each other. To solve the inequality, you may multiply or divide each side by the same positive number, add the same amount to each side, take the same amount away from each side, and more. You must flip the inequality sign if you multiply or divide either side by a negative number.

Given:

A compound inequality:

4x - 5 < -2 or x + 1 > 3.

Solving inequality,

4x < -2 + 5 or x > 2

4x < 3 or x > 2.

x < 3/4 or x >2.

Therefore, the solution is x < 3/4 or x >2.

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Answer:

d² - 24d + c = (d - 12)² - 144 + c