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Schach [20]
3 years ago
7

If g is the midpoint of FH find Fg

Mathematics
1 answer:
Tasya [4]3 years ago
4 0

If G is the midpoint of FH find FG

fg=11x-7 gh= 3x+9

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A manufacturer claims that the mean tensile strength of thread A exceeds the average tensile strength of thread B. To test his c
BaLLatris [955]

The complete part of the first sentence is;

A manufacturer claims that the average tensile strength of thread A exceeds the average tensile strength of thread B by at least 12 kilograms.

Answer:

we fail to reject the null hypothesis and conclude that the difference of the average tensile strength of thread A and thread B is less than 12

Step-by-step explanation:

We are given;

n_A = 16

n_B = 16

x'_A = 185 kg

x'_B = 178 kg

s_A = 6 kg

s_B = 9 kg

Let μ_A denote the population average tensile strength of thread A

Also, Let μ_B represent the population average tensile strength of thread B

Thus;

Null Hypothesis; H0;μ_A - μ_B ≤ 12

Alternative hypothesis;H1; μ_A - μ_B > 12

From the image attached, with a significance level of 0.05, the critical value for right tailed is 1.645. So we will reject the hypothesis is z > 1.645

Formula for z is;

z = (x'_A - x'_B - d_o)/√((s_A²/n_A) + (s_B²/n_B))

Plugging in the relevant values, we have;

z = (185 - 178 - 12)/√((6²/16) + (9²/16))

z = -5/2.7041634566

z = - 1.849

Since the z-value is less than 1.645,we fail to reject the null hypothesis and conclude that the difference of the average tensile strength of thread A and thread B is less than 12

7 0
3 years ago
Describing dilations
s344n2d4d5 [400]

Answer:

dfsdfsfdsddssdf

Step-by-step explanation:

7 0
3 years ago
When coin a is flipped, it lands on heads with probability 0.4; when coin b is flipped, it lands on heads with probability 0.7.
Sergeu [11.5K]
The answer is 0.6 hope that helped


5 0
3 years ago
Help me please please
larisa [96]

Answer:

44/3

Step-by-step explanation:

I hope this helps!

5 0
3 years ago
A fruit company has 20% returns in periods of normal rainfall and -3% returns in droughts. The probability of normal rainfall is
WARRIOR [948]

Answer:

E(x) = 10.8\% \\\\

The fruit company’s expected returns are 10.8%

Step-by-step explanation:

The expected returns of the fruit company is given by

E(x) =\sum (x \cdot P(x)) \\\\

For the given case,

Returns in normal rainfall = x₁ = 20% = 0.20

Returns in drought = x₂ = -3% = -0.03

Probability of normal rainfall = P(x₁) = 60% = 0.60

Probability of drought = P(x₂) = 40% = 0.40

So, the expected value of returns is

E(x) = x_1 \cdot P(x_1)  + x_2 \cdot P(x_2)  \\\\E(x) = 0.20 \cdot 0.60  - 0.03 \cdot 0.40  \\\\E(x) = 0.12 - 0.012 \\\\E(x) = 0.108 \\\\E(x) = 10.8\% \\\\

Therefore, the fruit company’s expected returns are 10.8%

7 0
3 years ago
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