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soldi70 [24.7K]
3 years ago
8

For Lisee7 One Geometry question. Need an explaination

Mathematics
2 answers:
Elena L [17]3 years ago
7 0
Assuming you mean the lengths of the diagonals
the diagonals should bisect each other

so
x-1=2x-6 and
3y-3=2y+4
solve

x-1=2x-6
add 6 and minus x
5=x

3y-3=2y+4
minus 2y and add 3
y=7



x=5 and y=7
Anni [7]3 years ago
4 0
Https://us-static.z-dn.net/files/d5c/d18576987e737c5978a1729524941c48.jpeg

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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
3 years ago
The graphs below have the same shape. What is the equation of the blue
lbvjy [14]

Answer: D.g(x)=(x-2)^2+1

Step-by-step explanation:A p E x verified

5 0
3 years ago
If you can walk 3 1/3 miles in an hour, how many miles can you walk in 30 minutes, given the
Vedmedyk [2.9K]

Answer:

d = 1.67 miles

Step-by-step explanation:

Given that,

Speed of a person,  s=3\dfrac{1}{3}\ mph

We need to find how many miles can you walk in 30 minutes, given the  same pace.

30 minutes = 0.5 h

3\dfrac{1}{3}\ mph = \dfrac{10}{3}\ mph

Speed = distance/time

d=v\times t\\\\d=\dfrac{10}{3}\ mph\times 0.5\ h\\\\d=1.67\ miles

So, the person will cover a distance of 1.67 miles

8 0
3 years ago
Solve the following inequality. 21&lt;_-3(x - 4) &lt; 30 A. 28&lt;_x &lt; 37 B. -3 &lt;_ x &lt; 6 C. -6 &lt; x &lt;_ -3 D. -10 &
Aloiza [94]

Answer:

Option C -6

Step-by-step explanation:

we have

21\leq -3(x-4)

The compound inequality can be divided into two inequality

21\leq -3(x-4) -----> inequality A

-3(x-4) ----> inequality B

Solve inequality A

21\leq -3x+12

9\leq -3x

Divide by -3 both sides

when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

-3\geq x

Rewrite

x\leq -3

The solution of the inequality A is the interval (-∞,-3]

Solve the inequality B

-3x+12

-3x

Divide by -3 both sides

when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

x>-6

The solution of the inequality B is the interval [-6,∞)

The solution of the compound inequality is

[-6,∞) ∩ (-∞,-3]=(-6,-3]

-6

3 0
4 years ago
Factorise x2 - 5x + 10
tatiyna
This equation does not factor...
3 0
3 years ago
Read 2 more answers
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