Reconsider the paint-drying situation of Example 8.2, in which drying time for a test specimen is normally distributed with σ = 9. The hypotheses H0: μ = 75 versus Ha: μ < 75 are to be tested using a random sample of n = 25 observations.

Answer:(-3,-2)

Step-by-step explanation:i did the test

Answer: C -3,-2

Step-by-step explanation:

Answer: -20

Step-by-step explanation:

Consider the number as x,

2(x+30)=20

x+30=20/2

x+30=10

x=10-30

x=-20

The true statement is "the line that can be drawn through points D and E is contained in plane Y".

option B is the correct answer

The points x and y and points C,D,E and f are shown in the figure, the true statement is determined as follows;

We know that, if two points lie in a plane, then the line drawn through the points will contained in the same plane.

The points C lies outside the plane Y and the point D lies on the plane Y, so the line drawn through the points C and D will not contained in plane Y.

So, option (A) is NOT correct.

The points D and E, both lie in the plane Y, so the line drawn through the points D and E will also contained in plane Y.

So, option (B) is CORRECT.

Since the plane X contain infinitely many points, so F is not the only point that can lie in plane X.

So, option (C) is NOT correct.

Similarly, there are infinitely many points in the plane Y, so the points D and E are not the only points that can lie in plane Y.

So, option (D) is NOT correct.  

Thus, the correct option is;

The line that can be drawn through points D and E is contained in plane Y.

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The complete question is below:

Points x and y and points C,D,E and f are shown what is true about points

(A) The line that can be drawn through points C and D is contained in plane Y.

(B) The line that can be drawn through points D and E is contained in plane Y.

(C) The only point that can lie in plane X is point F.

(D) The only points that can lie in plane Y are points D and E

Answer:

656

Step-by-step explanation:

9514 1404 393

Answer:

  50 ft

Step-by-step explanation:

The side lengths in a 30-60-90 triangle have the ratios 1 : √3 : 2. The longest side is 2 times the length of the shortest side.

In this geometry, that means the length of the escalator is 2 times its height, so is ...

  x = 2(25 ft)

  x = 50 ft . . . . . distance a person travels

For the pancake recipe, the results of the conversion of all the ingredients of the recipe to use exactly 3/4 cup of milk is:

To convert the recipe to use exactly 3/4 cup of milk, we need to convert all the ingredients units. We can start with the cups of flour.  

Initially, we had the following amount of milk:

\( milk = 1 + 1/2 = 3/2\: cups \)

Before we needed 2 cups of flour for 1 1/2 cups of milk, now for 3/4 cups of milk we need the following cups of flour:  

\( flour = \frac{2\: flour}{3/2 \:milk}*3/4 \:milk = 1\: cup \)

We can convert the other ingredients with this amount of cup of milk.

Tablespoons baking powder

\( baking powder = \frac{2\: baking\: powder}{3/2 \:milk}*3/4 \: milk = 1\: tablespoon \)  

Hence, we need to use now 1 tablespoon of baking powder.

Teaspoon salt

\( salt = \frac{1\: salt}{3/2 \:milk}*3/4 \:milk = 0.5 \: teaspoon \)  

Therefore, we need now 0.5 teaspoons of salt.  

Eggs

\( eggs = \frac{2\: eggs}{3/2 \:milk}*3/4 \:milk = 1 \)  

Then, we need 1 egg.

Cups blueberries

\( blueberries = \frac{5/4 \: blueberries}{3/2 \:milk}*3/4 \:milk = 0.62 \:cups \)  

Therefore, 0.62 cups of blueberries are needed now.

The new amount of serving (s) is:

\( s = \frac{6 s}{3/2 \:milk}*3/4 \:milk = 3 \)

Hence, for 3/4 cup of milk we can make now 3 servings.

You can find more about the conversion factor here:

I hope it helps you!                          

The fence in dead center is about 399 feet from the third base.

The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side,  is equals to the sum of the squares of the lengths of the other two sides.

Hence the equation for the theorem is given as follows:

c² = a² + b².

In which:

For the triangle in this problem, we have that:

Hence the distance is obtained as follows:

d² + 90² = 409²

\(d = \sqrt{409^2 - 90^2}\)

d = 399 ft.

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Answer:

9x+9

it the 3rd one

Answer:

Step-by-step explanation:

x/sin90=17.3/sin53

sin90=1

x=17.3/sin53

x=13.8

Answer:

2 squared - 7 + -4

Step-by-step explanation:

Answer:

Convert 7 1/8 to an improper fraction.

Simplify 7 * 8 to 56

-56 + 1/8 - (-9 1/2)

Simplify 56 + 1 to 57

-57/8 - (-9 1/2)

Convert 9 1/2 to an improper fraction.

-57/8 - (-9 * 2 + 1/2)

Simplify 9 * 2 to 18

-57/8 - (-18 + 1/2)

Simplify 18 + 1 to 19

-57/8 - (-19/2)

Simplify brackets

-57/8 + 19/2

Find the LCD

LCD = 8

Make the denominators the same as the LCD

-57/8 + 19 * 4/2*4

Simplify. Denominators are now the same

-57/8 + 76/8

Join the denominators

-57 + 76/8

Simplify

19/8

Convert to a mixed fraction.

2 3/8

Your answer is D.

Step-by-step explanation:

Answer: $1856

Step-by-step explanation: 88 x 58 = 5104. 5104/2.75= 1856

Answer:

50 degrees.

Step-by-step explanation:

80-30 is 50. Count down 3 from 8 and then add a 0 if you really need help.

Trapezoid WXYZ is located at W(0,5) X(3,8) Y(7,8) and Z(10,5). After a translation 8 units left, the new coordinates of the vertices are w(0,-3), X(3,0), Y(7,0) and Z(10,-3).

What is trapezoid?

In mathematics, a quadrilateral with at least one set of parallel edges is referred to as a trapezoid in American and Canadian English, or a trapezium in British and other types of English. In Euclidean mathematics, a trapezoid is a convex parallelogram by definition. The bases of the trapezoid are the horizontal edges.

Given,

W(0,5) X(3,8) Y(7,8) and Z(10,5)

If A(x,y), after being translated left c units, then A(x,y) is written as A(x,y-c)

Then the new coordinates of the vertices are written as-

W(0,5) after being translated left 8 units written as w(0,-3)

X(3,8) after being translated left 8 units written as X(3,0)

Y(7,8) after being translated left 8 units written as Y(7,0)

Z(10,5) after being translated left 8 units written as Z(10,-3)

Hence the new coordinates of the vertices are w(0,-3), X(3,0), Y(7,0) and Z(10,-3)

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From the combined standard deviation, with the mean, and standard

deviation of the data sets, the required variance can be found.

Reasons:

The given data information are;

Mean of the first set of observation, \(\overline x_1\) = 9.0

Standard deviation of the the first set, σ₁ = 4.0

Sample size of second observation, n₂ = 20

Mean of second sample, \(\overline x_2\) = 10

Standard deviation of the combined set, σ₁₂ = 3.0

Sample size of combined set of observation, n₂ = 35

Solution:

The number of elements in the second sample, n₁ = 35 - 20 = 15

The standard deviation of the combined set is given by the formula;

\({\sigma_{12}} = \mathbf{\sqrt{\dfrac{n_1 \cdot \left ( \sigma^2_{1}-d_1^2 \right ) + n_2 \cdot \left ( \sigma^2_{2}-d_2^2 \right )}{n_{1}+n_{2}}}}\)

Where;

\(\overline x_{12} =\mathbf{\dfrac{n_1 \cdot \overline x_1 +n_2 \cdot \overline x_2 }{n_1 + n_2}}\)

Therefore;

\(\overline x_{12} =\dfrac{15 \times 9.0 +20 \times10.0 }{15 + 20} = \dfrac{67}{7}\)

d₁ = \(\mathbf{\overline x_{12}}\) - \(\mathbf{\overline x_1}\)

\(d_1 = \dfrac{67}{7} - 9.0 = \dfrac{4}{7}\)

d₂ = \(\mathbf{\overline x_{12}}\) - \(\mathbf{\overline x_2}\)

\(d_2 = \dfrac{67}{7} - 10.0 = -\dfrac{3}{7}\)

Therefore;

\(3=\sqrt{\dfrac{15 \times \left ( 4.0^2-\left(\dfrac{4}{7}\right) ^2 \right ) + 20 \cdot \left ( \sigma^2_{2}-\left(-\dfrac{3}{7}\right) ^2 \right )}{15+20}}\)

Solving gives;

\(Variance, \ \sigma^2_2 = \mathbf{\dfrac{{117} }{28}}\)

\(\mathrm{The \ variance \ of \ the \ second \ set, \ \sigma_2^2} = \dfrac{{117} }{28} = 4\dfrac{5}{28}\)

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Answer:

√ 17

The result can be shown in multiple forms.

Exact Form:

√ 17

Decimal Form:

4.12310562

Step-by-step explanation:

(Use the distance formula to determine the distance between the two points.)

First, substitute the actual values of the points into the distance formula.

Then, just simplify

Don't take my word for it. Hope this helps :)

Answer:

There are 200 factory workers employed at steel mill.

Step-by-step explanation:

Let the total number of workers employed at steel mill be 'x'.

Now Given:

Percentile Number of workers purchased breakfast = 26%

So we can say that;

Number of workers purchased breakfast = \(\frac{26}{100}x=0.26x\)

Also Given:

Number of workers brought breakfast from home = 148

Solution:

Now we can say that;

total number of workers employed at steel mill is equal to sum of Number of workers purchased breakfast and Number of workers brought breakfast from home.

framing in equation form we get;

\(x=0.26x+148\)

Combining the like terms we get;

\(x-0.26x=148\)

\(0.74x=148\)

Dividing both side by 0.74 we get;

\(\frac{0.74x}{0.74} =\frac{148}{0.74}\)

\(x=200\)

Hence There are 200 factory workers employed at steel mill.

Answer:

h(x)

Step-by-step explanation:

The function h(x) has the greatest y-intercept. The y-intercept of a function in the value where the function intersects the y-axis.

The function f(x) is in slope-intercept form. This is f(x)=mx+b, where b is y-intercpet. So, the y-intercept of the function is 2.

For the second function, g(x), you can see the y-intercept by looking at the graph. The function intersects the y-axis at -3.

Finally, the last function is a sin function. For this sine function you can tell the y-intercept is 3 because that is where the midline is (based on the k value).

Answer:

80m2 wtfffffffffffffffffffff

Answer:

Step-by-step explanation:

1300

We know that,

slope = \( \rm{\frac{(y2 - y1)}{(x2 - x1)} }\)

Let (0,1)=(x 1 ,y 1 ) and (1,2)=(x 2,y 2 )

So,

Slope of line = \( \frac{(2 - 1)}{(1 - 0)} = 1\)

Now,

The required line equaqtion is given by,

==> y−y 1 = m(x-x1)

==> y−1=1(x−0)

==> y−1=x

==> y=x+1

We are asked to determine the surface area of the given pyramid. To do that we will add the areas of each of its faces. The front faces are triangles and their area is given by:

Where "b" is the base and "h" is the height. Replacing the known values:

Since there are 4 faces, we will multiply this number by four when determining the total surface area. The bottom face is a square and its area is given by:

Where "l" is the length of its sides. Replacing the values:

The total surface area is:

Replacing the values:

Therefore, the total surface area is 145 square units.

Answer:

y = 9

Step-by-step explanation:

Answer:

what do you mean by land ?

The intensity of sound is proportional to the square of its amplitude.

Thus, if I9 and I8 are the intensities of sounds at 9 decibels and 8 decibels respectively, then:

I9/I8 = (10^(9/10))/(10^(8/10))

I9/I8 = 10^(0.1)

I9/I8 = 1.2589

Therefore, the relative intensity of 9 decibels is approximately 1.26 times higher than that of 8 decibels.

May I please have a Brainliest? I put a lot of thought and effort into my answers, so I would really appreciate it!

Answer:

It is over then 749mm. so 800mm.

If it is less or same as 749mm, It is 700mm.

Answer:

\(\huge \boxed{\mathrm{800 \ mm}}\)

Step-by-step explanation:

765 mm to nearest 100 mm would be to round up 765 to nearest hundred.

765 rounded up to nearest hundred’s place would be 800.

The place after 7 is 6, which is higher or equal to 5, so we add 1 to the hundred’s place followed by zeros.

Answer:

the answer is 5

Step-by-step explanation:

(Add 10r to both sides)

-7-7r+10r= 8

Then -7+3r = 8

(Add 7 to both sides)

3r = 8+7

3r = 15

Divide both sides by 3.

r = 5

\(p(t)=1650e^{0.11t}\implies \stackrel{p(t)}{2479}=1650e^{0.11t}\implies \cfrac{2479}{1650}=e^{0.11t} \\\\\\ \log_e\left( \cfrac{2479}{1650} \right)=\log_e\left( e^{0.11t} \right)\implies \log_e\left( \cfrac{2479}{1650} \right)=0.11t \\\\\\ \ln\left( \cfrac{2479}{1650} \right)=0.11t\implies \cfrac{ ~~ \ln\left( \frac{2479}{1650} \right) ~~ }{0.11}=t\implies 3.7\approx t\)

at that moment, the population will reach 2479, and right after that, it'll exceed it.