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Reptile [31]
2 years ago
13

. Solve by factoring: x3 – 22 – 72x = 0

Mathematics
1 answer:
11Alexandr11 [23.1K]2 years ago
5 0
The answer is x=-22/69
If you need the step by step let me know.
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Find the equation of a line parallel to y=2x+1 that contains points (14, 3)
Norma-Jean [14]
The equation is y=2x-25
3 0
3 years ago
Given that P = (-4, 11) and Q = (-5, 8), find the component form and magnitude of vector QP
Svetach [21]
The given points are
P = (-4,11)
Q = (-5,8)

The x-component of vector QP is
-4 - (-5) = 1
The y-component of vector QP is
11 - 8 = 3

The vector QP is 
(1,3) or
\vec{QP} = \hat{i} + 3\hat{j}

The magnitude of the vector is
√(1² + 3²) = √(10)

Answer:
\vec{QP} = \hat{i}+3\hat{j} \,\, or \,\, (1,3)
The magnitude is √(10).

8 0
2 years ago
Si una persona aprovecha un descuento del 20% y paga 60.000 pesos por una camisa,¿Cuál era el precio de la camisa sin el descuen
oksano4ka [1.4K]

Answer:

the price of the shirt without discount is 75,000 pesos

Step-by-step explanation:

The computation of the price of the shirt without discount as follows:

There is a discount of 20%

And the person pays 60,000 pesos after considering the discount

So, the price without discount is

= 60,000 pesos ÷ 0.80

= 75,000 pesos

hence, the price of the shirt without discount is 75,000 pesos

6 0
3 years ago
Fizzy Waters has been involved in multiple lawsuits regarding the alkaline substance concentration in their product and getting
ser-zykov [4K]

Answer:

Step-by-step explanation:

For the sample, n = 12

Mean, x = (158.2 + 162.8 + 161.5 + 161.2 + 166.5 + 160.1 + 158.4 + 175.6 + 159.9 + 168.8 + 161.9 + 163.7)/12 = 163.22

Variance, s² = (summation(x - mean)²/n

Summation(x - mean)² = (158.2 - 163.22)^2 + (162.8 - 163.22)^2 + (161.5 - 163.22)^2 + (161.2 - 163.22)^2+ (166.5 - 163.22)^2 + (160.1 - 163.22)^2 + (158.4 - 163.22)^2 + (175.6 - 163.22)^2 + (159.9 - 163.22)^2 + (168.8 - 163.22)^2 + (161.9 - 163.22)^2 + (163.7 - 163.22)^2 = 273.5368

Variance, s² = 273.5368/12 = 22.79

This is a test for a single variance. We would set up the test hypothesis.

For the null hypothesis,

H0: σ² ≥ 25

For the alternative hypothesis,

H1: σ² < 25

The formula for determining the test statistic,x² is

x² = (n - 1)s²/σ²

Where n - 1 is the degree of freedom, df.

df = 12 - 1 = 11

x² = (11 × 22.79)/25 = 10.0276

For a test of 90% reliability, Confidence level = 0.9

Cl = 1 - alpha(level of significance)

alpha = 1 - 0.9 = 0.1

The critical value from the chi-square distribution table is 17.28. Since 17.28 > 10.0276, we would reject the null hypothesis. Therefore, the filling machine does not need repair because the variance of the process is not more than 25 oz.

8 0
2 years ago
32, 28, 21, 31, 18<br><br> Is 18 an outlier or no?
Kryger [21]

Answer:

No because 21 is close to it.

Step-by-step explanation:

To be considered an outlier, it would need to be a farther distance such as the distance from 28 to 21.

Hope this helps!!! PLZ MARK BRAINLIEST!!!

4 0
3 years ago
Read 2 more answers
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