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Rzqust [24]
3 years ago
10

Chang and Carlotta solve this problem in two different ways.

Mathematics
1 answer:
ELEN [110]3 years ago
8 0

Answer:

1. a variable

2. the same as

3. the same

hope this helps

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Use the discriminant to determine the number of solutions.<br> x2 + x = 12
Sati [7]

Answer:

x=4

Step-by-step explanation: So you do 2x plus 1x which is 3x. Then you divide both sides by 3 which leaves you with x=4. Thats your answer. <3

3 0
3 years ago
Find the value of x!!!!!
tino4ka555 [31]

Answer:

96 degrees

Step-by-step explanation:

The 144 degrees is on a straight line, meaning the angle next to it inside the triangle and 144 are supplementary. They add up to 180 degrees.

Coincidentally, the other two angles plus the third, unlabeled angle will add up to 180 degrees as well, meaning that the the 48+x = 144 degrees (according the property of equality, which is if a=b and b=c, then a=c). Solve for x from there:

x = 144-48

x = 96

7 0
3 years ago
Read 2 more answers
Which of the following is the radical expression of a to the four ninths power ?
LuckyWell [14K]

Given expression in exponential form : a^{\frac{4}{9} }.

We need to convert it into radical form.

<em>Please note: When we convert an exponential to radical form, the top number goes in the exponent of the term and bottom number of the fraction goes in the radical sign to make it nth radical.</em>

We can apply following rule:

(a)^{\frac{m}{n}}= \sqrt[n]{x^m}.

Therefore,

a^{\frac{4}{9} }= \sqrt[9]{a^4}.

Therefore, correct option is : D. ninth root of a to the fourth power.

6 0
3 years ago
A sample of 11001100 computer chips revealed that 62b% of the chips fail in the first 10001000 hours of their use. The company's
STALIN [3.7K]

Answer:

Rule

If;

P-value > significance level --- accept Null hypothesis

P-value < significance level --- reject Null hypothesis

Z score > Z(at 90% confidence interval) ---- reject Null hypothesis

Z score < Z(at 90% confidence interval) ------ accept Null hypothesis

Null hypothesis: H0 = 0.60

Alternative hypothesis: Ha <> 0.62

z score = 1.35

P value = P(Z<-1.35) + P(Z>1.35) = 0.0885 + 0.0885= 0.177

Since z at 0.10 significance level is between -1.645 and +1.645 and the z score for the test (z = 1.35) falls with the region bounded by Z at 0.1 significance level. And also the two-tailed hypothesis P-value is 0.177 which is greater than 0.1. Then we can conclude that we don't have enough evidence to FAIL or reject the null hypothesis, and we can say that at 0.10 significance level the null hypothesis is valid.

Question; A sample of 1100 computer chips revealed that 62% of the chips fail in the first 1000 hours of their use. The company's promotional literature states that 60% of the chips fail in the first 1000 hours of their use. The quality control manager wants to test the claim that the actual percentage that fail is different from the stated percentage. Determine the decision rule for rejecting the null hypothesis, H0, at the 0.10 level.

Step-by-step explanation:

Given;

n=1100 represent the random sample taken

Null hypothesis: H0 = 0.60

Alternative hypothesis: Ha <> 0.62

Test statistic z score can be calculated with the formula below;

z = (p^−po)/√{po(1−po)/n}

Where,

z= Test statistics

n = Sample size = 1100

po = Null hypothesized value = 0.60

p^ = Observed proportion = 0.62

Substituting the values we have

z = (0.62-0.60)/√{0.60(1-0.60)/1100}

z = 1.354

z = 1.35

To determine the p value (test statistic) at 0.01 significance level, using a two tailed hypothesis.

P value = P(Z<-1.35) + P(Z>1.35) = 0.0885 + 0.0885= 0.177

Since z at 0.10 significance level is between -1.645 and +1.645 and the z score for the test (z = 1.35) falls with the region bounded by Z at 0.1 significance level. And also the two-tailed hypothesis P-value is 0.177 which is greater than 0.1. Then we can conclude that we don't have enough evidence to FAIL or reject the null hypothesis, and we can say that at 0.10 significance level the null hypothesis is valid.

3 0
3 years ago
Make x the subject of the formula<br> х<br> +b=<br> a
blagie [28]

Answer:

x = a(c - b)

General Formulas and Concepts:

<u>Pre-Algebra</u>

  • Equality Properties

Step-by-step explanation:

<u>Step 1: Define Equation</u>

x/a + b = c

<u>Step 2: Solve for </u><em><u>x</u></em>

  1. Subtract <em>b</em> on both sides:                    x/a = c - b
  2. Multiply <em>a</em> on both sides:                     x = a(c - b)
5 0
3 years ago
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