Suppose a normal distribution has a mean or 70 and a standard deviation of 7. What is P(x>=94)? O A. 0.075 O 8. 0.025 c. 0.84 OD 0,16​

Answer:

-36

Step-by-step explanation:

See image below:)

Answer:

x = -36

Step-by-step explanation:

subtract 'x' from each side to get:

-18 = 2x + 54

subtract 54 from each side to get:

-72 = 2x

x = -72/2

x = -36

Answer:

The radius of Circle D is 8 cm.

The perimeter of ΔABC is (24 + 6√7) cm.

Step-by-step explanation:

First, let the intersection point below D be K and let the intersection point between A and B be J.

Since segment BK, which passes through the center of the circle, is perpendicular to chord AC, BK also bisects AC. Hence, AK = CK.

Connect points A and D to create radius AD. Note that BD is also a radius. Hence, AD = BD.

For ΔABK, by the Pythagorean Theorem:

[tex]AB^2=(BD+1)^2+AK^2[/tex]

Since AB = 12:

[tex]144=(BD+1)^2+AK^2[/tex]

For ΔADK, by the Pythagorean Theorem:

[tex]AD^2=1^2+AK^2[/tex]

Since AD = BD:

[tex]BD^2=1+AK^2[/tex]

Subtract the second equation into the first:

[tex]144-(BD^2)=(BD+1)^2+AK^2-(1+AK^2)[/tex]

Simplify:

[tex]144-BD^2=BD^2+2BD+1-1[/tex]

Hence:

[tex]2BD^2+2BD-144=0[/tex]

Simplify:

[tex]BD^2+BD-72=0[/tex]

Factor:

[tex](BD+9)(BD-8)=0[/tex]

By the Zero Product Property:

[tex]BD=-9\text{ or } BD=8[/tex]

Since the radius must be positive, the radius is 8 cm.

Since we already know AB and BC, we need to find AC to find the perimeter.

Note that AC = AK + CK = 2AK.

From the second equation:

[tex]BD^2=1+AK^2[/tex]

Thus:

[tex]AK=\sqrt{BD^2-1}=\sqrt{(8)^2-1}=\sqrt{63}=3\sqrt{7}[/tex]

Hence:

[tex]AC=2(AK)=2(3\sqrt7)=6\sqrt7[/tex]

Therefore, the perimeter of ΔABC is:

[tex]P=(12)+(12)+(6\sqrt7)=24+6\sqrt7\text{ cm}[/tex]

Answer:

d. 20 qt.

Step-by-step explanation:

4 quarts to a gallon so 4x5= 20

9514 1404 393

Answer:

  d.  f(2) < g(2)

Step-by-step explanation:

The attached table and graph shows how the functions relate for the various x-values of interest. The true statement is ...

  f(2) < g(2)

  -3 < 0

Answer:

a = 2

Step-by-step explanation:

Use Pythagorean Theorem:

[tex]a^2+b^2=c^2\\a^2+2.1^2=2.9^2\\a^2+4.41=8.41\\a^2=4\\\sqrt{a^2}=\sqrt{4}\\a=2[/tex]

Therefore, a is 2 meters.

Answer:

$8.5 per hour

Step-by-step explanation:

Number of overtime hours = 4 hours

Since overtime starts after 40 hours, then the number of hours worked = 40 + 4 = 44 hours

Total amount earned = $391

Let Hourly pay = x

Overtime pay = 1 1/2x = 3/2x

Therefore ;

40x + (4*3/2x) = 391

40x + 6x = 391

46x = 391

x = 391 / 46

x = 8.5

Hourly pay = $8.5 per hour

Answer:

18.75 packs of sugar

Step-by-step explanation:

20/8 = 2.5 (how many 8 ounce bottles in 20 oz)

2.5 * 30 = 75 (to find how many grams of sugar in the 20 oz bottle)

75/4 = 18.75 (how many packs of sugar it's equal to)

you can also use a ratio to solve:

8/30 = 20/x; cross multiply

600 = 8x; divide 8 on both sides

x = 75

75/4 = 18.74 (how many packs of sugar it's equal to)

Answer:

B) 18.610

Step-by-step explanation:

Using SOHCAHTOA (trig ratios), the tangent of 28° is the ratio of its opposite length to its adjacent.

in this scenario, the side opposite to 28°, and the side adjacent to it is 35°

tan 28° = y/35

Using inverse operations, multiply both sides by 35

y = 35 * tan 28

Solve your answer using your calculator.

I attached a picture that can help you later to recognize what function to use depending on the sides given.

Answer:

x =  150 ft

y  =   y  =  150 / 17 ft

Step-by-step explanation:

Area of the field is    A  =  x*y

Let´s assume x is the larger side of the rectangle, and that we will get 33 identical smaller rectangular plots dividing  x into 33 rectangles ( using 34 sides of length  y ) then the quantity of fence is:

p  =  2*x  +  34*y   ⇒   600  =  2*x  +  34*y        y  =  ( 600 - 2*x)/34

A = x*y

A (x)  =  x*  ( 600 - 2*x)/34

A (x)  = ( 600*x  - 2*x²)/34

Taking derivatives on both sides of the equation:

A´(x)  = (1/34)* ( 600 - 4*x )

A´(x)  =  0       (1/34)* ( 600 - 4*x ) = 0      600  -  4*x  = 0

x  =  600/4

x = 150 feet

And  y  =  (1/34)( 600 -  2*150)

y  =  300/34    y  =  150 / 17 ft

y  =  8.82 ft

How do we know that is a maximum area, we find the second derivative of A

A´´(x)   =    - 4/34      then  A´´(x) < 0

We get a maximum of function A for the value  x = 150

Answer: A

Step-by-step explanation:

Answer:

Step-by-step explanation:

Substitute the value for y or x into the equation thats listed with it.

For the first one, substitute 3 in place of y.

3x + 6 y = 60 turns into

3x + 6 * 3 = 60

3x + 18 = 60

3x = 60-18

3x = 42

x = 42/3

x = 14

Apply the same to the other equations

10x + 4y = 70 turns into

10 * 5 + 4y = 70

Then solve for y

9514 1404 393

Answer:

  False

Step-by-step explanation:

Point (3, 4) will become (3+3, 4-1) = (6, 3), not (0, 5). The statement is False.

_____

Additional comment

The point (0, 5) would be translated to (3, 4). That is not what the question is asking.

Answer:

23.67

Step-by-step explanation:

Answer:

kimjnuhbygvtcfrdxe

Step-by-step explanation:

Answer:

88 or 1 minute and 28 seconds

Step-by-step explanation:

396/9= 44 times the two seconds it takes to print is 88

Answer:

1782

Step-by-step explanation:

9 divided by 2.0

=4.5

4.5×396

=1782

Answer:

The magnitude of the resultant force is:

[tex]R=100.3 \:pound[/tex]

The direction is:

[tex]\theta=1.2^{\circ}[/tex]

Step-by-step explanation:

Let's find the components of each vector is x and y-directions first.

Sum of x-component vector forces.

[tex]F_{tot-x}=F_{1}cos(45)+F_{2}cos(30)[/tex]

[tex]F_{tot-x}=50cos(45)+75cos(30)[/tex]

[tex]F_{tot-x}=100.3 \: pound[/tex]

Sum of y-component vector forces.

[tex]F_{tot-y}=-F_{1}sin(45)+F_{2}sin(30)[/tex]

[tex]F_{tot-y}=-50sin(45)+75sin(30)[/tex]

[tex]F_{tot-y}=2.1 \: pound[/tex]  

The magnitude of the resultant force is:

[tex]R=\sqrt{100.3^{2}+2.1^{2}}[/tex]

[tex]R=100.3 \:pound[/tex]

The direction is:

[tex]tan(\theta)=\frac{2.1}{100.3}[/tex]

[tex]\theta=arctan(\frac{2.1}{100.3})[/tex]

[tex]\theta=1.2^{\circ}[/tex]

I hope it helps you!

Answer:

20 is the answer I got

Answer:

mixed number <3

Step-by-step explanation:

vause it is

Answer:

If I understand this right I think it would be 8 and 6?

Step-by-step explanation:

Sorry if this is wrong I'm really bad at math, please tell me if this is right.

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

Explanation:

Ignoring the slashes, there are 8 digits here. If we could tell those '1's and '2's apart, then we'd have 8! = 40,320 different codes. The exclamation mark indicates a factorial.

However, the '1's and '2's are indistinguishable. We have to divide by a!*b! = 3!*3! = 6*6 = 36 to account for this.

The a! = 3! = 6 is from the fact we have 3 copies of '1'.

The b! = 3! = 6 is from the fact we have 3 copies of '2'

Dividing by 36 gets us (40,320)/36 = 1120

Answer:

Step-by-step explanation:

Compoud interest is the addition of interest to the principal sum of a loan or deposit, or in other words, interest on interest. the formula is:

[tex]c_n=c_o(1+i)^n\\\\c_o->initial~invesment\\i->interest\\n->number~of~ intervals[/tex]

[tex]c_5=8000(1+\frac{10}{100})^5\\c_5=12848.88[/tex]

Answer:

108

Step-by-step explanation:

200 divided by 60 equals 3 then 36 times 3 equals 108

Answer:

120 heads

Step-by-step explanation:

The Experimental probability for heads is 36/60. now we have to find the experimental probability for 200 flips. so 36/60 = ?/200. We have to find a number that 60 multiplies by to get 200. That number is 200/60 = 20/6 = 3 1/3. So multiply 36 by 3 1/3: 36 * 3 = 108. 36 * 1/3 = 12. 108 + 12 = 120. So it is 120 heads

Answer:

r = 25 yds

Step-by-step explanation:

The radius is 1/2 of the diameter

r =1/2d

r =1/2( 50 yds)

r = 25 yds

Answer:

[tex]\cos(J) = 0.67[/tex]

Step-by-step explanation:

Given

[tex]\angle K = 90^o[/tex]

[tex]KJ = 65[/tex]

[tex]IK = 72[/tex]

[tex]JI = 97[/tex]

Required

[tex]\cos(J)[/tex]

The question is illustrated with the attached image.

From the image, we have:

[tex]\cos(J) = \frac{KJ}{JI}[/tex]

This gives:

[tex]\cos(J) = \frac{65}{97}[/tex]

[tex]\cos(J) = 0.67010309278[/tex]

[tex]\cos(J) = 0.67[/tex] --- approximated

Answer:i took the test

Step-by-step explanation: 76879686

Answer:c

Step-by-step explanation:

c

Answer:

x^2-4x+4

Step-by-step explanation:

See image below:)

Answers:

Each pair of triangles are congruent. The congruence reasoning is shown below.

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Further Explanation:

Abbreviations:

ASA = angle side angle

SSS = side side side

HA = hypotenuse angle

Answer:

the answer to this would be 114 i think sorry is im wrong

Step-by-step explanation:

Answer:

40 m

Step-by-step explanation:

158 · 2.54 = 401.32

401.32/100 = 40.132

40.132 ≈ 40