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SVEN [57.7K]
2 years ago
6

Solve (x -3) =5. A. x-5t43 B. x- 3 t45 C. x= 8 and x=-2 D. x= -3±45

Mathematics
2 answers:
Nutka1998 [239]2 years ago
6 0

Answer:

C

Step-by-step explanation:

(x-3)=5

add 3 to 5= 8

another way is to do:

subtract -3 to 5 = -2

Elena-2011 [213]2 years ago
3 0

Answer:

x=8

Step-by-step explanation:

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Help please ! Solve using the Factor Method: 6x^2+12x=0
Anna [14]
6x² + 12x  = 0

6x(x + 2) = 0

1. 6x = 0
⇒ x = 0
2. x+2 = 0
⇒ x = -2

Solutions are: {0, -2}
4 0
3 years ago
1.44 Make-up exam: In a class of 28 students, 27 of them took an exam in class and 1 student took a make-up exam the following d
Olenka [21]

Answer:

a) Decrease

b) New mean = 78.43

c) Decrease                        

Step-by-step explanation:

We are given the following in the question:

Total number of students in class = 28

Average of 27 students = 79

Standard Deviation of 27 students = 6.5

New student's score = 63

a) The new student's score will decrease the average.

b) New mean

Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}

Mean = \dfrac{\displaystyle\sum x_i}{27} = 79\\\\\sum x_i = 27\times 79 = 2133

New mean =

\text{ New mean} =\dfrac{ \displaystyle\sum x_i +63}{28}\\\\ =\dfrac{2133+63}{28}= \dfrac{2196}{28} = 78.43

Thus, the new mean is 78.43

c) Since the new mean decreases, standard deviation for new scores will decrease.

This is because the new value is within the usual values i.e. within two standard deviations of the mean. So, this wont cause a lot of variation as this value will be closer to already available data values. Also number of observations (n) in the denominator is increasing. Based on both these points we can conclude that standard deviation will decrease

Formula for Standard Deviation:

\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n}}  

where x_i are data points, \bar{x} is the mean and n is the number of observations.

7 0
3 years ago
Heyyy who can answer these?? (Just the top 3)
kicyunya [14]
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8 0
2 years ago
Re-write 15/9 as a mixed number
Y_Kistochka [10]

Answer:

1 6/9

Step-by-step explanation:

3 0
2 years ago
An architect designs a castle tower for a new attraction at a popular amusement park. Blueprints of the tower, which is in the s
marin [14]

Answer:

<u>The surface area of the tower is 5,218.1 m²</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Height of the blueprint = 47 cm

Length of the blueprint = 23 cm

Width of the blueprint = 25 cm

Scale factor 1 : 96

2. Calculate the actual surface area of the tower and enter your answer in square meters with two decimal places.

Let's calculate the measurements of the actual tower:

Height of the blueprint = 47 * 96 = 4,512 cm = 45.12 m

Length of the blueprint = 23 * 96 = 2,208 cm = 22.08 m

Width of the blueprint = 25 * 96 = 2,400 cm = 24 m

Now, let's calculate the surface area of the tower, this way:

Surface area of the tower = 2* (24 * 22.08) + 2 * (45.12 * 22.08) + 2 * (45.12 * 24)

Surface area of the tower = 1,059.84 + 1,992.5 + 2,165.76

<u>Surface area of the tower = 5,218.1 m²</u>

4 0
3 years ago
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