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2 years ago

Find the value of x, round to nearest tenth

Mathematics

1 answer:

spayn [35]2 years ago

5 0

Answer:

x ≈ +15.3

Step-by-step explanation:

Because this is a right triangle, the Pythagorean Theorem applies:

8² + 13² = x² = 233, so that x = +√233, or approximately x ≈ +15.3

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Find an equation for the surface consisting of all points P in the three-dimensional space such that the distance from P to the

erik [133]

Answer:

x^2 +4y +z = 1

Step-by-step explanation:

Surface consisting of all points P to point (0,1,0) been equal to the plane y =1

given point, p (x,y,z ) the distance from P to the plane (y)

| y -1 |

attached is the remaining part of the solution

8 0

3 years ago

The SAT Reasoning Test (formerly called the Scholastic Aptitude Test) is perhaps the most widely used standardized test for coll

mihalych1998 [28]

Given Information:

Mean SAT score = μ = 1500

Standard deviation of SAT score = σ = 3 00

Required Information:

Minimum score in the top 10% of this test that qualifies for the scholarship = ?

Answer:

$\bar{x} = 1884\\$

Step-by-step explanation:

What is Normal Distribution?

We are given a Normal Distribution, which is a continuous probability distribution and is symmetrical around the mean. The shape of this distribution is like a bell curve and most of the data is clustered around the mean. The area under this bell shaped curve represents the probability.

We want to find out the minimum score that qualifies for the scholarship by scoring in the top 10% of this test.

$P(X > \bar{x} )= P(Z > \bar{x}) = 0.10\\P(X < \bar{x} )= P(Z < \bar{x}) = 1 - 0.10\\P(X < \bar{x} )= P(Z < \bar{x}) = 0.90\\$

The z-score corresponding to the probability of 0.90 is 1.28 (from the z-table)

$\bar{x} = \mu + z(\sigma) \\\bar{x} = 1500 + 1.28(300)\\\bar{x} = 1500 + 384\\\bar{x} = 1884\\$

Therefore, you need to score 1884 in order to qualify for the scholarship.

How to use z-table?

Step 1:

In the z-table, find the probability value of 0.90 and note down the value of the that row which is 1.2

Step 2:

Then look up at the top of z-table and note down the value of the that column which is 0.08

Step 3:

Finally, note down the intersection of step 1 and step 2 which is 1.28

4 0

2 years ago

!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Vesnalui [34]

Since they are independent events to find the probability of both is P(A) * P(B)

P(A) = P(Heads) = $\frac{1}{2}$
P(B) = P(Roll ≥ 4) = $\frac{3}{6} = \frac{1}{2}$

Now multiply those fractions together

$\frac{1}{2} * \frac{1}{2} = \frac{1}{4}$ = P(Heads & ≥ 4)

5 0

2 years ago

What is the simplified form of each expression? (7 – c)(–1)

Zigmanuir [339]

Answer:

-7+c

Step-by-step explanation:

distribute the - 1

5 0

3 years ago

What are the factors of 5x2 + 39x − 8?

prisoha [69]

Answer:

C. (5x - 1)(x + 8)

Step-by-step explanation:

In a factoring problem by hand, the common steps to solve would be the "AM" method, or (Add-Multiply). Simply stated, finding what adds to the x-coeficient and what multiplies to the constant. In this case, what adds to 39(x) and what multiplies to 8. Just reading that, we can see that there aren't any numbers that can do that, so we have to improvise. Set up the problem equal to something that it can factor into:

Multiply the 5 and -8 = -40: this is what we will factor
The factors with add to 39 are 40 and -1.
Set up the problem:

$5x^{2}+39x-8 = 5x^{2}+40x-x-8$

Now, we can fo the math:

$5x^{2} -8 = 5x^{2} -8$

8(5x - 1) + x(5x - 1)

Factor (5x - 1) from this:

(5x - 1)(x + 8)

And we have our answer.

4 0

2 years ago