D
48°
C
61°
A
B
Find the measure of ZABD

[tex] \tt 2 \dfrac{11}{12} [/tex]

[tex] \\ \\ [/tex]

[tex] \to\tt \dfrac{35}{12} [/tex]

Using the normal distribution and the central limit theorem, it is found that:

P(x < 0.29) = 0.2981.

In a normal distribution 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]

In this problem:

Then, the mean and the standard error are given by:

[tex]\mu = p = 0.31[/tex]

[tex]s = \sqrt{\frac{p(1 - p)}{n}} = \sqrt{\frac{0.31(0.69)}{100}} = 0.04625[/tex]

The probability our sample is 29% orange candies or less is the p-value of Z when X = 0.29, hence:

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

By the Central Limit Theorem

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

[tex]Z = \frac{0.29 - 0.31}{0.04625}[/tex]

[tex]Z = -0.43[/tex]

[tex]Z = -0.43[/tex] has a p-value of 0.2981.

Hence:
P(x < 0.29) = 0.2981.

To learn more about the normal distribution and the central limit theorem, you can take a look at https://brainly.com/question/24663213

Answer:

B. 10cm, 15cm, 24cm

Step-by-step explanation:

The 2 shortest sides of a triangle added together must be longer than the longest side of the triangle.

10cm + 15cm > 24cm, so the answer is B.

Answer:

A

Step-by-step explanation:

[tex]\frac{10}{9+\sqrt{7} }[/tex]

To rationalise the denominator multiply the numerator and denominator by the conjugate of the denominator.

the conjugate of 9 + [tex]\sqrt{7}[/tex] is 9 - [tex]\sqrt{7}[/tex]

= [tex]\frac{10(9-\sqrt{7}) }{(9+\sqrt{7})(9-\sqrt{7}) }[/tex] ← expand denominator using FOIL

= [tex]\frac{90-10\sqrt{7} }{81-7}[/tex]

= [tex]\frac{90-10\sqrt{7} }{74}[/tex] ( divide terms on numerator/ denominator by 2 )

= [tex]\frac{45-5\sqrt{7} }{37}[/tex] → A

Answer:

A[tex]\frac{45-5\sqrt7}{37}[/tex]

Step-by-step explanation:

Easy. First let's multiply numerator and denominator by [tex]9-\sqrt7[/tex] since we will create a difference of squares to get rid of the root, then start doing the calculations

[tex]\frac{10(9-\sqrt7)}{(9+sqrt7)(9-\sqrt7)}=\frac{10(9-\sqrt7)}{81-7} = \frac{10(9-\sqrt7)}{74} =\\\frac{5(9-\sqrt7)}{37}=\frac{45-5\sqrt7}{37}[/tex]

Answer:

6. yes they are congruent, they are exactly the same shape and size

7. no they are not congruent, they are different sizes

8. they are congruent, they have the same shape and size

Step-by-step explanation:

Answer:

20

20, 30, 40, 50

I think this might be the answer

Answer:

∠1=90°-->(3x-75)°=90°-->3x=90+75-->3x=165-->x=165/3=55Answer.

Answer:

Add 22 Then eat caca

Step-by-step explanation:

Thats it

Answer:

x=11/9

Step-by-step explanation:

Explanation:

A set is "closed" for a particular operation if performing that operation on members of the set always gives a member of the set.

closed example

For example, the set {0, 1} is closed for multiplication:

  0 × 0 = 0

  0 × 1 = 0

  1 × 1 = 1 . . . all result values are members of the set

Performing multiplication on any two members of the set gives a member of the set.

__

not closed example

The same set {0, 1} is not closed for addition:

  0 +0 = 0

  0 +1 = 1

  1 +1 = 2 . . . not a member of the set

Performing addition on any two members of the set does not always give a member of the set.

_____

Additional comment

Sometimes you are asked to demonstrate closure of a particular set using a particular example. As we see with addition, above, some examples may seem to demonstrate closure, while another example may prove the set is not closed. In short, you can demonstrate that the set is closed for a particular operation on a particular example, but that does not demonstrate closure in general.

Answer:

y= 3x+14

Step-by-step explanation:

3x because the slope is 3

14; solve for B by plugging in x=-4, y=-2 into y=3x+B

Answer: 720 deg

Step-by-step explanation:

The given angles are just all the interior angles in 2 quadrilaterals

So since the sum of the int. angles in 1 quadrilateral is 360 deg, the sum in 2 is 720 deg

Answer:

its D

Step-by-step explanation:

Answer:

x= 1

if thats not what u trien find lmk and ill fix it n give correct answer

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Answer:

C/8

Step-by-step explanation:

Because the range is the biggest number subtracted by the lowest number and in our data sat 7,15,and 12 15 is the biggest number and 7 is the smallest so what's 15-7?

8 so C

Have a great day.

Similar triangles may or may not have equal measures

Allie's error is that Allie did not state the similarity theorem

The statement JKL ~ XYZ means that:

Triangles JKL and XYZ are similar triangles

From the complete question, we have the following highlights:

The above means that, both triangles are similar by SAS or SSS

In Allie's statement, the similarity theorem is not stated

Hence, Allie's error is that Allie did not state the similarity theorem

Read more about similar triangles at:

https://brainly.com/question/14285697

Answer:

$59,500

Step-by-step explanation:

Assuming you mean 40%:

Two ways:

$42,500 + ($42,500 x 0.4)

OR

$42,500 x 1.4

= $59,500

Answer:

Gary because 10 to 15 rounds down to 2/3 which is greater than 3 to 5

Step-by-step explanation:

Answer:

Garyyy!! super late but yea

Step-by-step explanation:

:)

Answer:

it takes 10 ones to make a ten.

Answer: L=46in

Step-by-step explanation:

Using the formulaP=2(l+w)Solving forll=P2﹣w=1362﹣22=46in

Answer:

We know that,

[tex]\star \: \: \purple{Volume_{(cone)} =\pi {r}^{2} \frac{h}{3} }[/tex]

[tex]\star \: \: \purple{Volume_{(cone)} =3.14 \times {(50)}^{2} \times \: \cancel\frac{30}{3} \: }[/tex]

[tex]\star \: \: \purple{Volume_{(cone)} = 3.14 \times (50 \times 50) \times 10} [/tex]

[tex]\star \: \: \purple{Volume_{(cone)} =3.14 \times 2500 \times 10 }[/tex]

[tex]\star \: \: \purple{Volume_{(cone)} =78500 }[/tex]

Thus,the third option is correct.

[tex]\star \: \: {\blue{DisneyPrincess29}}[/tex]

Answer:

He can buy up to 2 outfits.

Step-by-step explanation:

440.12 + 2(12.86) + 19.26 + 53.96o ≤ 620

53.96o + 485.10 ≤ 620

53.96o ≤ 134.9

o ≤ 2.5

He can buy up to 2 outfits.

Answer:

X=7

Step-by-step explanation:

Both are equal angles( the little 2 arrows prove that) so we set up the equation like this

75=11x-2

We need to isolate x to solve for it so we add 2 to both side since it's the opposite of subtraction.

our equation will then look like this

77=11x

last but not least, we divide 11 to both sides since it's the opposite of multiplication which 11 and X are doing

the answer is 7

Answer:

X=3

Step-by-step explanation:

Answer:

it is now at 108

Step-by-step explanation:

10% of 120 is 12 120-12=108

Answer:

26

Step-by-step explanation:

Rectangle J and Rectangle K are similar

You can divide 13 by 3.25

13/3.25=4

If Rectangle J is 4 times bigger than K all you have to do is devide 104 by 4 and you get 26