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aliya0001 [1]
3 years ago
13

Drag each tile to the correct box.

Mathematics
1 answer:
andrew11 [14]3 years ago
4 0

Answer:

Step-by-step explanation:

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Find two complex numbers whose sum is 12 and whose product is 37.​
jeka57 [31]

Answer:

6 ± i and 6 ± i

Step-by-step explanation:

Let x be the first number.

Let y be the second number.

x + y = 12

x × y = 37

Solve for x in the first equation.

x = 12 - y

Put x as 12-y in the second equation and solve for y.

(12- y)y = 37

12y - y² = 37

- y² + 12y - 37 = 0

y = 6 ± i

Put y as 6 ± i in the first equation and solve for x.

x + 6 ± i = 12

x = 12 - 6 ± i

x = 6 ± i

8 0
3 years ago
The mean breaking strength of yarn used in manufacturing drapery material is required to be at least 100 psi. Past experience ha
Aleks04 [339]

Answer:

Step-by-step explanation:

Given that:

Mean μ= 100

standard deviation σ = 2.6

sample size n = 9

sample mean X = 100.6

The null hypothesis and the alternative hypothesis can be computed as follows:

H_o : \mu \leq 100

H_1 :\mu > 100

The numerical value for the test statistics is :

z = \dfrac{x - \mu}{\dfrac{\sigma}{\sqrt{n}}}

z = \dfrac{100.6- 100}{\dfrac{2.6}{\sqrt{9}}}

z = \dfrac{0.6}{0.8667}

z = 0.6923

At  ∝ = 0.05

t_{\alpha/2 } = 0.025

The critical value for the z score = 0.2443

From the z table, area under the curve, the corresponding value which is less than the significant level of 0.05 is 1.64

P- value =  0.244

c> If the true population mean is 101.3 ;

Then:

z = \dfrac{x - \mu}{\dfrac{\sigma}{\sqrt{n}}}

z = \dfrac{101.3- 100.6}{\dfrac{2.6}{\sqrt{9}}}

z = \dfrac{0.7}{0.8667}

z = 0.808

From the normal z tables

P value  =  0.2096

3 0
3 years ago
Thomas deposit money in his savings account every month. if he continues to save $3.50 each month, how much will he have at the
andrew-mc [135]

Answer:

$21 - 6 months

$42 - 12 months

Step-by-step explanation:

Multiply $3.50 times 6 (for 6 months) and by 12 (for 12 months).

3 0
3 years ago
Write the equation.
Svetradugi [14.3K]

Answer:

51 × 5 = L

L = $255

Step-by-step explanation:

First, we can have "L" equal the amount of money Lee saved.

L = amount of money Lee saved

If Jessi saved 5 times as much, <u>you can find out how much money Lee saved by multiplying how much Jessi has by 5</u>.

Jessi has $51, so the equation would be <u>51 × 5 = L</u>

51 × 5 = 255

So, Lee has $255 saved.

3 0
3 years ago
PLEASE HELPP ANYONE
emmasim [6.3K]
Answers: 
A, B, C, E.

Everything except D and F.
5 0
4 years ago
Read 2 more answers
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