the distance between a number and 2 on the number line

Answer:

a. H0: μ<14

H1: μ≥14

Step-by-step explanation:

Mean symbol:

The mean symbol is given by [tex]\mu[/tex]

A cereal company claims that the mean weight of the cereal in its packets is at least 14 oz.

At the null hypothesis, we test if the proportion is of less than 14 oz, that is:

[tex]H_0: \mu < 14[/tex]

At the alternative hypothesis, we test if this proportion is of at least 14 oz, that is:

[tex]H_1: \mu \geq 14[/tex]

So the correct answer is given by option a.

Answer:

n/5 = 18

Step-by-step explanation:

Quotient means division.

n/5 = 18

Answer:

[tex]{ \boxed{ \tt{trig \: identity : { \bf{ { \cos}^{2} A + { \sin }^{2} A = 1}}}}} \\ \therefore \: { \green{ \tt{ \sin A = \sqrt{1 - { \cos }^{2}A } }}} \\ \sin A = \sqrt{1 - {( \frac{3}{4}) }^{2} } \\ \sin A = \frac{ \sqrt{7} }{4} = 0.661 \\ \\ { \green{ \tt{ \tan A = \frac{ \sin A }{ \cos A} }}} \\ \tan(A ) = \frac{ \frac{ \sqrt{7} }{4} }{ \frac{3}{4} } = \frac{ \sqrt{7} }{3} = 0.882 \\ \\ { \underline{ \blue{ \tt{ becker \: jnr}}}}[/tex]

The exact values of sin (A) and tan ( A)​ are 0.661 and 0.882 respectively.

Trigonometric identities are the functions that include trigonometric functions such as sine, cosine, tangents, secant, and, cot.

We have been given that 270º < AS 360° and cos(A)= 3/4.

We are required the exact values of sin (A) and tan ( A)​

Since, cos(A)= 3/4.

cos ²A + sin² A = 1

sin A = √ 1- cos ²A

sin A = √ 1-  (3/4) ²

Sin A = 0.661

Tan A = sin A / Cos A

Tan A = 0.661/ 3/4 = 0.882

Hence, the exact values of sin (A) and tan ( A)​ are 0.661 and 0.882 respectively.

Learn more about trigonometric;

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Hi there!  

»»————-　★　————-««

I believe your answer is:  

Option C

»»————-　★　————-««  

Here’s why:

⸻⸻⸻⸻  

[tex]\text{\underline{The Slope Formula Is:}}\\\\m=\frac{y_2-y_1}{x_2-x_1}\\\\(x_1,y_1)\text{ and } (x_2,y_2)\text{ are two points given.}\\\\\text{We are given the points: } (3,5) \text{ and } (9,2).\\\\\text{\underline{The formula for the points should be:}}\\\\m=\frac{5-2}{3-9}, \text{where } (9,2) \text{ is }(x_1,y_1)\text{ and } (3,5) \text{ is } (x_2,y_2).[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer: C

Step-by-step explanation:

See diagram above

Answer:

its b because when subtract 30-24=6

Answer:

ok

Step-by-step explanation:

9514 1404 393

Answer:

  D.  21/2

Step-by-step explanation:

It is probably easiest to add up the three terms.

For n=1, the first term is ...

  8(1/4)^(0) = 8

The second term is ...

  8(1/4)^1 = 2

The third term is ...

  8(1/4)^2 = 8/16 = 1/2

The sum of the series is ...

  8 + 2 + 1/2 = (16 +4 +1)/2 = 21/2

Answer:

Step-by-step explanation:

In the simplest way, the domain of a function is basically all of the possible values of the input variable or x-axis in a graph. While the range of a function would be all of the real possible outputs that the function can create. In a graph this would be all of the possible values for the y-axis. For example, in the following function...

y = 4x + 3

The domain of this function would be any and all values for x, while the range of the function would be any and all values that the function can output for y.

Answer:

7x + 14

Step-by-step explanation:

the first thing to do is expand the parentheses/brackets.

3(5x + 2) -2(4x - 4) will be

3(5x) + 3(2) -2(4x) -2(-4)

= 15x + 6 - 8x + 8

collect like terms

15x - 8x + 6 + 8 = 7x + 14

the answer is 7x + 14

Answer:

3(5x+2)-2(4x-4)

15x+6-8x+8

15x-8x+6+8

7x+14

=======================================================

Explanation:

The terminal point is at (x,y) = (3,-4)

Apply the pythagorean theorem to find that x^2+y^2 = r^2 solves to r = 5. This is the length of the hypotenuse.

Then we can determine the cosecant of the angle theta using the formula below

csc(theta) = hypotenuse/opposite

csc(theta) = r/y

csc(theta) = 5/(-4)

csc(theta) = -5/4

Side note: csc = 1/sin

Answer:

y = 64°

Step-by-step explanation:

From the picture attached,

m(∠E) = 90°

m(∠E) = m(∠D)

m(∠B) + 67° = 180° [pair of linear angles]

m(∠B) = 113°

m(∠C) + 75° = 180°

m(∠C) = 180° - 75°

           = 105°

Since, sum of interior angles of a polygon = (n - 2) × 180°

Here, n = number of sides

For n = 5,

Sum of interior angles = (5 - 2) × 180°

                                     = 540°

m(∠A) + m(∠B) + m(∠C) + m(∠D) + m(∠E) = 540°

m(∠A) + 113° + 105° + m(∠D) + 90° = 540°

(m∠D) + m(∠D) = 540 - 308 [Since, m(∠A) = m(∠D)]

2(m∠D) = 232

m(∠D) = 116°

m(∠D) + y° = 180° [Linear pair of angles]

116 + y = 180

y = 64°

Answer:

if he is the to form a 666

Step-by-step explanation:

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Answer:

( h + 5 )^2 + ( y - 8 ) ^2 = 49

Step-by-step explanation:

Equation of a circle:

( x - h )^2 + ( y - k )^2 = r^2

Where ( h , k ) = center and r = radius

We are given that the circle has a center at ( -5 , 8 ) meaning that h = -5 and k = 8

We are also given that the circle has a radius of 7 meaning that r = 7

Now that we have identified each variable we plug the values into the equation

( h - (-5)^2 + ( y - 8 )^2 = 7^2

Our final step is to simplify

we get that the equation of the circle is

( h + 5 )^2 + ( y - 8 ) ^2 = 49

By the way ^ means exponent

Answer:

a) A =   [tex]\left[\begin{array}{ccc}1&0\\0&0\\0&1\end{array}\right][/tex] 3*2

b) attached below ( Matrix dose not exist )

c) attached below  ( Matrix does not exist )

Step-by-step explanation:

a) Matrix

A =   [tex]\left[\begin{array}{ccc}1&0\\0&0\\0&1\end{array}\right][/tex] 3*2

From the matrix ; Column 1 and Column 2 Belong to COL(A)

while : (1,1)^T  =  ( 1,0 )^T +  ( 0,1 )^T  i.e. (1,1)^T  ∈  Row( A )

and (1, 2)^T. = ( 1,0 )^T + 2 ( 0,1 )^T   i.e. (1, 2)^T  ∈  Row( A )

Hence ; all requirements are fulfilled in Matrix A

b)  The column space is generated by (1,1,1)7T, the null space (or kernel) is generated by (1,2,3)T

Matrix is Non-existent because condition is not met

attached below

c) Rank | A |

dimension of column space= 4 , dimension of Row space = 3

Given that ; column space ≠ Row space

Hence Matrix does not exist

Answer:

What do you mean

Step-by-step explanation:

Answer:

1/3a

Step-by-step explanation:

[tex] \frac{(a - 3)}{15a} \times \frac{5}{(a - 3)} = \frac{5}{15a} = \frac{1}{3a} [/tex]

Answer:

Step-by-step explanation:

If a point (x, y) is reflected across a line, image of the point will be at the same distance from the line as the original point is.

In fact line of reflection works like a mirror.

In the figure attached,

Distance of point B from the line 'm' = 6 units

Therefore, distance of the image point B' from line 'm' = 6 units (on opposite side of the line of reflection)

9514 1404 393

Answer:

  yes

Step-by-step explanation:

Yes, the turning point at (-4, -16) is a local minimum. It is a minimum because the curve goes upward either side of it. It is local (not global) because the curve has values that are lower than -16 at other values of x.

__

Similarly, the point (4, 16) is a local maximum.

Answer:

A = 50.2 cm^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2  where r is the radius

A = (3.14) * 4^2

A =50.24

To 1 decimal place

A = 50.2 cm^2

Answer:

50.3 cm^2 to 1 dec. place.

Step-by-step explanation:

Area = pi r^2

= pi * 4^2

= 16 * pi

= 50.265

Answer:

381 cm³

Step-by-step explanation:

Volume of the pot = volume of a cylinder

Volume of the pot = πr²h

Where,

π = 3.14

radius (r) = 4.5 cm

h = 6 cm

Substitute

Volume of the pot = 3.14*4.5²*6

Volume of the pot = 381.51 ≈ 381 cm³ (nearest whole number)

Answer:

3 1/2 hours

Step-by-step explanation:

time = distance/speed

440/110 = 4 hours

440/880 = 1/2 hours

4 minus 1/2 is 3 1/2

Answer:

hi

Step-by-step explanation:

i just need some points sorry not sorry

Answer:

(3x+2)^2+1

Step-by-step explanation:

Answer:

They should warranty the product for 7 years if they want no more than 6.7% of the waffle irons to fail within that time.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

The average waffle iron lasts for 12 years and one standard deviation is 8 months.

Measuring the time in months, we have that [tex]\mu = 12*8 = 96[/tex] and [tex]\sigma = 8[/tex]

How long should they warranty the product for if they want no more than 6.7% of the waffle irons to fail within that time?

This is X when Z has a p-value of 0.067, so X when Z = -1.5. Then

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.5 = \frac{X - 96}{8}[/tex]

[tex]X - 96 = -1.5*8[/tex]

[tex]X = 84[/tex]

84 months = 7 years.

They should warranty the product for 7 years if they want no more than 6.7% of the waffle irons to fail within that time.

Answer:

429

Step-by-step explanation:

312/800 = .39

1100 x .39 = 429

Answer:

$429

Step-by-step explanation:

--------------------

[tex]\frac{312}{800} =\frac{x}{100}[/tex]

Cross multiply

[tex]800x=31200[/tex]

Divide both sides by 800

[tex]x=39[/tex]

So, Niu earned 39% on the investment of $800

So, let's find out how much $1,100 would have earned him in the same investment.

--------------->>>>

[tex]\frac{x}{1100}=\frac{39}{100}[/tex]

Cross multiply

[tex]100x=42900[/tex]

Divide both sides by 100

[tex]x=429[/tex]

--------------------

This means that Niu $1,100 would have earned Niu $429 in the same investment.

Hope this is helpful

Answer:

multiplication rule

Step-by-step explanation:

because 6 * 3p

is equal to 18p

hope this helps you please like and mark as brainliest

Answer:

[tex]0.\overline{369} = \frac{41}{111}[/tex]

Step-by-step explanation:

x = 0.369369369...

10x = 3.69369369...

100x = 36.9369369...

1000x = 369.369369...

1000x - x = 369

999x = 369

[tex]x = \frac{369}{999} \\\\x = \frac{123}{333}\\\\x = \frac{41}{111}[/tex]

Answer:

9/10

Step-by-step explanation:

y2-y1÷x2-x1

-18-0/-12-8

-18/-20

9/10

Answer:10/9

Step-by-step explanation:You do y2-y1 over x^2-x^1 and you get 10/9