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Lemur [1.5K]
3 years ago
13

If p(x) = x 3 + x 2+ root 5 x + root 5 , then find p( – 5 )

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
6 0

Answer:

-100-4√5

Step-by-step explanation:

Given the polynomial expression

p(x) = x³+x²+√5x + √5

p(-5) = (-5)³+(-5)² + √5(-5) + √5

p(-5) = -125 + 25 -5√5 + √5

p(-5) = -100-4√5

This gives the required answer

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Let the following sample of 8 observations be drawn from a normal population with unknown mean and standard deviation: 22, 18, 1
BigorU [14]

Answer:

a:  Sample mean: 20, Sample standard deviation: 1.732

b:  19.13 <µ < 20.87

c:  18.84< µ < 21.16

d:  as the confidence level increases, the interval becomes wider

Step-by-step explanation:

a:  Sample mean is found by adding up all the individual values of the sample, then dividing by the total number of values in the sample.  

Sample standard deviation is the square root of the variance

See the first attached photo for the calculations of these values.

We need to create a 80% confidence interval for the population.  Since n < 30, we will use a t-value with degree of freedom of 7 (the degree of freedom is always one less than the sample size.  

Look for the column on the t-distribution chart that has "area in two tails" of 0.20 (80%), and row 7 (degree of freedom)

The t-value is 1.415

See the second attached photo for the construction of the confidence interval

We need to create a 90% confidence interval for the population.  Since n < 30, we will use a t-value with degree of freedom of 7 (the degree of freedom is always one less than the sample size.  

Look for the column on the t-distribution chart that has "area in two tails" of 0.10 (90%), and row 7 (degree of freedom)

The t-value is 1.895

See the third attached photo for the construction of the confidence interval

3 0
3 years ago
How can I calculate the value of x
AnnyKZ [126]
Solve 180=10x+10 to find your answer (:
8 0
3 years ago
Rewrite the following expression using the properties of logarithms: log2z + 2log2z + 4log9y + 12log9x - 2log2y
Mashcka [7]

The rewritten form of the expression given in the task content in which case, the properties of the logarithm are used is; log2(z³/y²) + log9(y⁴x¹²).

<h3>What is the equivalent expression to the logarithmic expression given in the task content?</h3>

It follows from the task content that the logarithmic expression given in the task content is;

log2z + 2log2z + 4log9y + 12log9x - 2log2y

In which case, all terms are to their respective logarithmic bases.

Hence, it follows that; we have;

log2z³ - log2y² + log9y⁴ + log9x¹²

= log2(z³/y²) + log9(y⁴x¹²)

Read more on logarithm laws;

brainly.com/question/10208274

#SPJ1

4 0
2 years ago
Question 3 of 5
gladu [14]

Answer:

triangle A

Step-by-step explanation:

the area is 16cm²

8×4/2 = 32/2 = 16

5 0
2 years ago
Salvador bought 3 pounds of oranges that cost x cents per pound, a cucumber for 59 cents, and 2 bananas for 35 cents. write an e
Natali5045456 [20]
Since x is the cost of the oranges per pound in cents, the total amount spent on oranges in cents is 3x. Then, you spent 59 cents on cucumbers and 35 cents on bananas. The total amount spent on all food is the sum of the individuals. 3x+59+35. Combine like terms to get 3x+94. This will give you your total in cents. If you need a total in dollars, you would just multiply that expression by 0.01.
6 0
3 years ago
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