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3 years ago

I need the answer for this question.

Mathematics

1 answer:

Grace [21]3 years ago

8 0

If the whole angle (ABC) is equal to 133, we can add angles ABD and DBC to find x.

10x+13=133
Subtract 13 from both sides to get
10x=120
Divide both sides by 10 to get that x=12

We can now plug the value of x into ABD to find its measure.
7(12)+4
Simplifies to 84+4, which is 88

So angle ABD is equal to 88 degrees.

:)

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In a pizza takeout restaurant, the following probability distribution was obtained for the number of toppings ordered on a large

Elis [28]

Answer:

The random variable (number of toppings ordered on a large pizza) has a mean of 1.14 and a standard deviation of 1.04.

Step-by-step explanation:

The question is incomplete:

The probability distribution is:

x P(x)

0 0.30

1 0.40

2 0.20

3 0.06

4 0.04

The mean can be calculated as:

$M=\sum p_iX_i=0.3\cdot 0+0.4\cdot 1+0.2\cdot 2+0.06\cdot 3+0.04\cdot 4\\\\M=0+0.4+0.4+0.18+0.16\\\\M=1.14$

(pi is the probability of each class, Xi is the number of topping in each class)

The standard deviation is calculated as:

$s=\sqrt{\sum p_i(X_i-M)^2}\\\\s=\sqrt{0.3(0-1.14)^2+0.4(1-1.14)^2+0.2(2-1.14)^2+0.06(3-1.14)^2+0.04(4-1.14)^2}\\\\s=\sqrt{0.3(-1.14)^2+0.4(-0.14)^2+0.2(0.86)^2+0.06(1.86)^2+0.04(2.86)^2}\\\\ s=\sqrt{0.3(1.2996)+0.4(0.0196)+0.2(0.7396)+0.06(3.4596)+0.04(8.1796)}\\\\s=\sqrt{0.3899+0.0078+0.1479+0.2076+0.3272}\\\\ s=\sqrt{ 1.0804 }\\\\s\approx 1.04$

3 0

2 years ago

42 add 1 than multiply by 4

AleksandrR [38]

Answer:

172

Step-by-step explanation:

42+1= 43

43 x 4= 172

5 0

2 years ago

Read 2 more answers

Wilma earns $9 per hour at her job. Then she spent $15 on a birthday gift for her best friend. Write an expression to represent

frozen [14]

Answer:

Wilma has $12.

Step-by-step explanation:

Since we don't know how many hours she worked, we know that Wilma earned 9x dollars at her job. Then she spends $15, so we can just subtract 15 from 9x.

$9x-15$

We can just replace the x with 3 to get:

$27-15\\12$

Hence, Wilma has $12.

3 0

2 years ago

Read 2 more answers

1.) what does X equal 4x = -12 2.)

Eddi Din [679]

Answer:

-3

Step-by-step explanation:

this is x equals to -3

we can divide the 4 to other side

7 0

3 years ago

Read 2 more answers

Answer step by step

enot [183]

Consider, please, this solution/explanation:
1. suppose, that number of cars is 'x', numbers of buses is 'y'.
2. according to the condition 'a total of 32', it means that x+y=32. This is the 1st equation.
3. according to the condition in one car are 3x persons, in one bus are 27y persons, and totaly 3x+27y=408 people. This is the 2d equation.
4. if to solve the system of two equations:
$\left \{ {{x+y=32} \atop {3x+27y=408}} \right. \ =\ \textgreater \ \ \left \{ {{x=19 (cars)} \atop {y=13(buses)}} \right.$

Answer: 13 - b., 19 - c.

6 0

2 years ago