Find the image of (8,0) after a rotation of 90° about the origin.

Answer:

0.0066

Step-by-step explanation:

Given that:

Mean [tex]\mu[/tex] = 75

Variance [tex]\sigma^2 =961[/tex]

The standard deviation [tex]\sigma = \sqrt{961} = 31[/tex]

The sample size n = 100

[tex]\mu = \mu_{\overline x} = 75[/tex]

[tex]\sigma _{\overline x} = \dfrac{\sigma }{\sqrt{n}}[/tex]

[tex]\sigma _{\overline x} = \dfrac{31 }{\sqrt{100}}[/tex]

[tex]\sigma _{\overline x} = \dfrac{31 }{10}}[/tex]

[tex]\sigma _{\overline x} = 3.1[/tex]

[tex]P(\overline x > 83.7) = 1 - P( \overline x < 83.7)[/tex]

[tex]P(\overline x > 83.7) = 1 -P\bigg ( \dfrac{\overline x - \mu_{\overline x} }{\sigma _{\overline x}} < \dfrac{83.7 - 76}{3.1} \bigg)[/tex]

[tex]P(\overline x > 83.7) = 1 -P\bigg ( Z< \dfrac{7.7}{3.1} \bigg)[/tex]

[tex]P(\overline x > 83.7) = 1 -P ( Z< 2.48)[/tex]

Using the Z table;

P(x > 83.7) = 1 - 0.9934

P(x > 83.7) = 0.0066

Thus, probability = 0.0066

Answer:

8

Step-by-step explanation:

Answer:

BE = 49

Step-by-step explanation:

In triangle BDC

  65^2=56^2+BD^2

  65^2-56^2=BD^2

  4225-3136=BD^2

  1089=BD^2

   33=BD

In triangle FDE

    65^2=63^2+DE^2

    4225-3969=DE^2

    256 = DE^2

    16=DE

since ED+DB=BE

THEREFORE

      16+33=BE

         49=BE

Answer:

ummm.... -2 ? because both lines are parallel they have the same slope

Answer:

696

Step-by-step explanation:

Answer:

The new line will be parallel to the line represented by y =2x +2

The equation y = 2x + 2 is written in slope- intercept form (i.e. y=mx + b) where m represents the slope.  So the slope of this line is 2.   A line parallel to y = 2x + 2 will have the same slope.  This means the slope of the new line will also be 2.  

To determine the equation of the new line, we can use the given point  to find the y intercept of the new line:

y = 2x + b

Use x = -1 and y =3 to find b (or the y intercept ) of the new line:

3 = 2 * (-1) + b

3= -2 + b

b=5

Therefore, the equation of the line passing thru (-1,3) with the same slope as that of y = 2x + 2 will be:  y = 2x + 5

(Hope it can help)

Answer:

y=2x+5

Step-by-step explanation:

hope you understood

Answer:

When you add 2+3 which equals 5 so it’ll be y=5x-7. And plug in y into the other equation. 5x-7-5x+8=0. -7-8=0, -7-8 =-1 therefore there is no solution because-7-8= -1 not 0.

Step-by-step explanation:

Answer:

Step-by-step explanation:

No, 3/4 is equivalent to 0.75 so 0.34 and 3/4 are not equivalent.

Answer:

no

Step-by-step explanation:

because 3/4 equals to 0.75 or 75%

1/4 = 0.25 or 25%

2/4 or 1/2 = 0.50 or 50%

3/4 = 0.75 or 75%

4/4 or 1 = 1 or 100%

Answer:

SYNTAX ERROR

Step-by-step explanation:

Answer:

4.66 billion

Step-by-step explanation:

Answer:

6500

Step-by-step explanation:

KCF

3250/1 ÷ 1/2

3250/1 x 2/1

3250 x 2=  6500

1 x 1 = 1

final answer 6500/1 or 6500

Answer:

- 6.547

Step-by-step explanation:

Given that:

Sample size (n) = 1207

p = 0.85

p0 = 0.92

The test statistic :

Z = (p - p0) / √(p0(1 - p0) / n)

Z = (0.85 - 0.92) / √(0.92(1 - 0.85) / 1207)

Z = - 0.07 / √(0.92(0.15) / 1207)

Z = - 0.07 / √0.0001143

Z = - 0.07 / 0.0106926

Z = - 6.5465446

Z = - 6.547

Answer:

16 + 10 ÷ 2

Step-by-step explanation:

We adding 16 to 10. So, 16 + 10. We then divide it by two. So, it is 16 + 10   2

Answer:

SU, TU, ST

Step-by-step explanation:

Given:

<S = 7x - 36,

<T = 5x - 1,

<U = x + 9

First, find the value of x

(7x - 36) + (5x - 1) + (x + 9) = 180° (sum of ∆)

7x - 36 + 5x - 1 + x + 9 = 180

Collect like terms

13x - 28 = 180

Add 28 to both sides

13x = 180 + 28

13x = 208

Divide both sides by 13

x = 16

Next, find the measure of each angle.

<S = 7x - 36,

Plug in the value of x

m<S = 7(16) - 36 = 76°

<T = 5x - 1,

m<T = 5(16) - 1 = 79°

<U = x + 9

m<U = 16 + 9 = 25°

The size of each angle of a triangle is tells how much longer or shorter the length of the side opposite it is. The greater the degree of am angle, the longer the side, and vice versa.

Thus.

The largest angle in ∆STU is <T, which is opposite to side SU. This means the greatest side is SU.

The medium angle is <S, which is opposite to side TU. This means side TU is the medium side.

The smallest angle is <U, which is opposite to side ST. This means the least side would be ST.

From greatest to the least, the sides of ∆STU are:

✅SU, TU, ST

Answer:

Step-by-step explanation:

Let's get the answer first and then we can discuss how it is done. The answer is 119.

There is a problem. The question does not state whether or not 101 is included. If it is 119 is correct. If the question is between 101 and 200 then the answer will be 117.

How was it done? A programming language was used. So it counted by brute force.

From 101 to 120 we get

101  102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120

32  Certainly there must be a quicker way

101 = 2

102 to 109 = 1 * 8 = 8

110 to 119 = 10*2 = 20  

111 has an extra 1  = 1

120 has                    1

Total                       32  

From here it gets a bit easier.

121                      2

122 - 129            8

total                  10

130                     1

131                      2

132 - 139           8  

total                  11

140 to 149        11

150 to 159        11

160 to 169        11

170 to 179         11    

180 to 189         11

190 to 199         11

total 7 * 11 + 32 + 10 = 119

Answer:

If two sides and the included angle of one triangle are equal to the corresponding sides and angle of another triangle, the triangles are congruent

Step-by-step explanation:

I'm not sure the answer

Answer:

You have to draw we cant draw 4 you sorry i cant help

Step-by-step explanation:

Answer:

Carbon moves from plants to animals. Through food chains, the carbon that is in plants moves to the animals that eat them. ... Animals and plants need to get rid of carbon dioxide gas through a process called respiration. Carbon moves from fossil fuels to the atmosphere when fuels are burned.

Step-by-step explanation:

Answer:

Photosynthesis

Step-by-step explanation:

Answer:

61=x ( vertical opposite angle)

61=y (corresponding angle)

Step-by-step explanation:

y = 61°( corresponding angles)

x = y = 61°(vertically opposite angles)

Answer:

275 miles

Step-by-step explanation:

Answer:

a

[tex]P(N_g) = 0.5155[/tex]

b

 [tex]P(K ) = 0.36364[/tex]

c

[tex]P(U1 | N_y ) = 0.7223[/tex]  

Step-by-step explanation:

From the question we are told that

  The number of green marbles in Urn 1 is  [tex]N_g = 4[/tex]

   The number of yellow marbles in Urn 1 is [tex]N_y = 5[/tex]

   The number of green marbles in Urn 2 is  [tex]n_g = 7[/tex]

   The number of yellow marbles in Urn 1 is [tex]n_y = 4[/tex]

    The probability of choosing Urn 1 is  [tex]P(U1) = 0.63[/tex]

    The probability of choosing Urn 2 is [tex]P(U2) = 1- 0.63 =0.37[/tex]

Generally the total marble in Urn 1 is  

     [tex]N_t = N_g +N_y[/tex]

=>  [tex]N_t = 4 + 5[/tex]

=>  [tex]N_t = 9[/tex]

Generally the total marble in Urn 2 is  

     [tex]n_t = n_g +n_y[/tex]

=>  [tex]n_t = 7+4[/tex]

=>  [tex]n_t = 11[/tex]

Generally the probability of choosing green marble is

     [tex]P(N_g) = P(U1 ) * \frac{N_g}{N_t} + [P(U2 ) * \frac{n_g}{n_t} ][/tex]

=>   [tex]P(N_g) = 0.63 * \frac{4}{9} + [0.37 * \frac{7}{11} ][/tex]

=>   [tex]P(N_g) = 0.5155[/tex]

Generally  the probability that a yellow marble was chosen, if it is known that Urn 2 was chosen is mathematically represented as

     [tex]P(K ) = \frac{n_y}{n_t}[/tex]

=>   [tex]P(K ) = \frac{4}{11}[/tex]

=>   [tex]P(K ) = 0.36364[/tex]

Generally the probability of choosing yellow marble is

     [tex]P(N_y) = P(U1 ) * \frac{N_y}{N_t} + [P(U2 ) * \frac{n_y}{n_t} ][/tex]

=>   [tex]P(N_y) = 0.63 * \frac{5}{9} + [0.37 * \frac{4}{11} ][/tex]

=>   [tex]P(N_y) = 0.4845[/tex]

Generally  the  probability that Urn 1 was chosen, if it is known that a yellow marble was drawn is mathematically represented as

     [tex]P(U1 | N_y ) = \frac{ P( U1 \ n N_y)}{P(N_y)}[/tex]

=>   [tex]P(U1 | N_y ) = \frac{0.63 * [\frac{5}{9} ] }{0.4845 }[/tex]

=>   [tex]P(U1 | N_y ) = 0.7223[/tex]      

Answer:

Question 6

[tex]\left(5a+2\right)\left(a+4\right)=\:5a^2+22a+8[/tex]

Question 7

The width is 2x.

Step-by-step explanation:

                                           Question 6)

Expand

[tex](5a+2)(a+4)[/tex]

solving to the expand

[tex](5a+2)(a+4)[/tex]

[tex]a=5a,\:b=2,\:c=a,\:d=4[/tex]

so the expression becomes

[tex]=5aa+5a\cdot \:4+2a+2\cdot \:4[/tex]

[tex]=5aa+5\cdot \:4a+2a+2\cdot \:4[/tex]

[tex]=5a^2+20a+2a+8[/tex]

adding similar elements: 20a+2a=22a

[tex]=5a^2+22a+8[/tex]

Hence,

[tex]\left(5a+2\right)\left(a+4\right)=\:5a^2+22a+8[/tex]

                                                  Question 7)

Given

Using the formula

width = Area/Length

          [tex]=\:\frac{8x^2}{4x}[/tex]

          [tex]=2x[/tex]                  ∵ [tex]\mathrm{Divide\:the\:numbers:}\:\frac{8}{4}=2[/tex]

Therefore, the width is 2x.

Answer:

the last one :)

Step-by-step explanation:

An infinite number of solutions is generated with a multiple of the first function, hence, the correct option is:

[tex]y = -\frac{1}{4}(4x - 8)[/tex]

The graph given is:

[tex]y = -x + 2[/tex]

When two equations are multiple, the system involving these two equations has infinite solutions.

Among the options, the multiple of the original function is:

[tex]y = -\frac{1}{4}(4x - 8)[/tex]

[tex]y = -x + 2[/tex]

Hence, [tex]y = -\frac{1}{4}(4x - 8)[/tex] is the correct option.

A similar problem is given at https://brainly.com/question/25718527

The correct answer is C

-Banana

Answer:

Initial temperature = 20° C

Temperature after 18 minutes = 4° C

Step-by-step explanation:

Function representing the relation in the temperature of the soda and time has been given as,

T(x) = [tex]-8+28e^{-0.045x}[/tex]

Here x = number of minutes since the can was placed in the cooler

For initial temperature of the soda,

x = 0,

T(0) = [tex]-8+28e^{(28\times 0)}[/tex]

      = -8 + 28(1)

      = 20° C

For the temperature after 18 minutes,

x = 18,

T(18) = [tex]-8+28.e^{-0.045\times 18}[/tex]

       = [tex]-8+28.e^{(-0.81)}[/tex]

       = [tex]-8+12.456[/tex]

       = 4.456 C

       ≈ 4° C

Answer:

YOU DID THAT TEST? samee

Step-by-step explanation:

Answer:

2lb 32 oz.

Step-by-step explanation:

because 2=5 so 8=32  

32 divided by 2 =16 so 32 oz  2lb