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makvit [3.9K]
3 years ago
5

PLS HELP ME solve the system of equations all I need is to find x,y and z

Mathematics
1 answer:
ale4655 [162]3 years ago
7 0

(x,y,z)=(-4,-2,-5)

I added some images for explanation

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Suppose a baker claims that his bread height is more than 15 cm, on average. Several of his
yKpoI14uk [10]
  1. Since the p-value is approximately equal to zero (0), we can conclude that there is sufficient evidence that the true mean height for the baker's loaves of bread is greater than (>) 15 cm.
  2. Since 2.37 is greater than (>) 1.645, we reject the null hypothesis (H₀) at 5% level of significance. Therefore, we can conclude that the company’s claims are invalid.

<h3>What is a null hypothesis?</h3>

A null hypothesis (H₀) can be defined the opposite of an alternate hypothesis (H₁) and it asserts that two (2) possibilities are the same.

For the baker's claim, the appropriate null and alternative hypotheses would be given by:

H₀: μ ≤ 15

H₁: μ > 15

Since the standard deviation for the height is given, the population would have a normal distribution, and the population standard deviation is given by:

Population standard deviation = σ/√n

Population standard deviation = 0.5/√10

Population standard deviation = 0.16.

For the p-value, we have:

The p-value is the probability that a sample mean would be the same or greater than (≥) 17 cm. Thus, the p-value is given by:

p-value = P(x > 17) ≈ 0.

Since the p-value is approximately equal to zero (0), we can conclude that there is sufficient evidence that the true mean height for the baker's loaves of bread is greater than (>) 15 cm.

Question 3.

For the oil company's claim, the appropriate null and alternative hypotheses would be given by:

H₀: μ = 0.15

H₁: μ > 0.15

<h3>How to calculate value of the z-score?</h3>

The z-score can be calculated by using this formula:

z=\frac{x\;-\;u}{\frac{\sigma}{\sqrt{n} } }

<u>Where:</u>

  • x is the sample mean.
  • u is the mean.
  • is the standard deviation.
  • n is the number of boys.

Substituting the given parameters into the formula, we have;

z=\frac{0.162\;-\;0.15}{\frac{0.04}{\sqrt{40} } }\\\\z=\frac{0.012}{\frac{0.4}{6.3246 } }

z = 0.012/0.0633

z = 0.190.

From the z-table, a z-score of 0.190 is equal to a p-value of 2.37.

For the critical value, we have:

Critical probability (p*) = 1 - α/2

Critical probability (p*) = 1 - 0.1/2

Critical probability (p*) = 0.95.

Hence, the critical value is Zα/2 equal to 1.645.

Since 2.37 is greater than (>) 1.645, we reject the null hypothesis (H₀) at 5% level of significance. Therefore, we can conclude that the company’s claims are invalid.

Read more on null hypothesis here: brainly.com/question/14913351

#SPJ1

4 0
1 year ago
Can we conclude that two similar figures can also be congruent figures? Explain.
shusha [124]

Answer:

In similar figures, the angles are congruent, even if the sides are not. Notice that one angle in each pair of figures corresponds to an angle in the other figure. They have the same shape but not the same size

7 0
3 years ago
100 pts/ x3+y3+z3=k
lesya692 [45]

Answer:

.............................

Step-by-step explanation:

..........................

3 0
2 years ago
7w + 6 + 2w = (w + 2)
Sindrei [870]

Hey there!

The correct answer is w = \frac{-1}{2}

7w + 6 + 2w = w + 2          ~ Write the equation

9w + 6 = w + 2                   ~ Simplify

8w + 6 = 2                          ~ Subtract w from both sides

8w = -4                             ~ Subtract 6 from both sides

w = \frac{-1}{2}                                ~ Divide both sides by 8

Hope it helps and have a great day!

4 0
3 years ago
What is the answer and how do you find it?
Grace [21]
<span>According to the Exterior Angle Theorem, the</span> measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles of the triangle.
11x+2=5x+10 + 58
6x=66
x=11
3 0
3 years ago
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