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4 years ago

What 2 numbers add to -3 and multiply to 2

1 answer:

6 0

We need to look at factors of 2, which are only 2 and 1... How do we get them to add to -3? Well, they have to be negative.

-2 + -1 = -3

What about the multiplication? A negative × a negative = a positive, so

-2 × -1 = 2

So your answer is

-2 and -1

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Supposethat z is a normally distributed variable with variance 4. You collect a sample of size n for which you get a sample aver

Nikitich [7]

Answer:

The sample size is 4

Step-by-step explanation:

Null hypothesis: The mean is 2

Alternate hypothesis: The mean is less than 2

Mean = 3

sd = sqrt(variance) = sqrt(4) = 2

At 95% confidence level, t-value is 1.960

Assuming the lower bound of the mean is 1.04

Lower bound = mean - (t×sd/√n)

1.04 = 3 - (1.96×2/√n)

3.92/√n = 3 - 1.04

3.92/√n = 1.96

√n = 3.92/1.96

√n = 2

n = 2^2

n = 4

7 0

3 years ago

4123 to the nearest thousands

noname [10]

Answer:

4000

Step-by-step explanation:

if 5 or up you round up if under five you round down and after the number you rounded add 0

3 0

3 years ago

Y - x= 4 what the answer?

serious [3.7K]

Step-by-step explanation:

y-x=4

There could be two possibilities,

1) y = 4+x

2) y-4 = x

8 0

3 years ago

Read 2 more answers

An 80-m tower is supported by a guy wire attached to the top of the tower. If the wire forms an

nalin [4]

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The length of the wire is 81.5 meters.

The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,

Sin(θ) = Perpendicular/Hypotenuse

where,

θ is the angle,

Perpendicular is the side of the triangle opposite to the angle θ,

The hypotenuse is the longest side of the triangle.

The length of the tower is 80 meters, while the angle of elevation is 79°. Therefore, the length of the wire will be the hypotenuse of the triangle. Therefore, the length of the wire is,

Sin(θ) = Perpendicular/Hypotenuse

Sin(79°) = 80 meter/Length of the wire

Length of the wire = 81.4973 ≈ 81.5 meters

Hence, the length of the wire is 81.5 meters.

Learn more about Sine:

brainly.com/question/21286835

#SPJ1

5 0

2 years ago

100 points pls help

Travka [436]

Answer:

Part A: $12,220

Part B: $12,134.08

Part C: First option

Parte C: Second option.

Explanation:

Part A: 7.4% simple interest

r = 7.4% = 0.074
P = $10,000
t = 3 years

Formula: $A=P+Prt$

Calculations:

$A=$10,000+$10,000(7.4\%)(3)\\\\ A=\$10,000+\$10,000(0.074)(3)\\\\ A=\$12,220$

<u>Part B: 6.5% compounded quaterly</u>

r = 6.5% = 0.065

n = 4

P = $10,000

t = 3 years

Formula:

$A=P\bigg(1+\dfrac{r}{n}\bigg)^{nt}$

Substitute and compute:

$A=\$10,000\bigg(1+\dfrac{0.065}{4}\bigg)^{(4\times3)}$

$A=\$12,134.08$

<u>Part C: Which investement is better</u>

Over the first three years the first option, 7.4% per year simple interest, is a better investment, because the value of its value is $12,220 - $12,134.0 = $85.94 greater than the second option.

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<u>Part D: Recomendation</u>

If George is unsure how long he will keep the money in the account, I would recommend to use the second option, because the compounded interest will overcome the simple interest, since the year 5. You can show that with a table:

Value of A in $:

Year Simplet intertest Compound interest

1 10,000 + 10,000(0.074)(1) 10,000(1 + 0.0650/4)¹

10,740 10,666

2 10,000 + 10,000(0.074)(2) 10,000(1 + 0.065/4)²

11,480 11,376

3 10,000 + 10,000(0.074)(3) 10,000(1 + 0.0650/4)³

12,220 12,314

4 10,000 + 10,000(0.074)(4) 10,000(1 + 0.065/4)⁴

12,960 12,942

5 10,000 + 10,000(0.074)(5) 10,000(1 + 0.065/4)⁵

13,700 13,804

8 0

4 years ago