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Dmitriy789 [7]
2 years ago
7

Find the value of x.

Mathematics
1 answer:
Lady_Fox [76]2 years ago
5 0

Answer:

Step-by-step explanation:

x = 61⁰

Reason: x + 29⁰ = 90⁰ ( right angles i.e the angles are perpendicular to one another)

x = 90⁰ - 29⁰

x = 61⁰

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Using FOIL method. Multiply the terms. (X^2 -7)(x^2 -4)
murzikaleks [220]

Answer:

x^4-11x^2+28

Step-by-step explanation:

  1. Set it up

x^2(x^2-4) -7(x^2-4)

    2. Multiply

x^4-4x^2-7x^2+28

    3. Simplify

x^4-11x^2+28

4 0
3 years ago
the marks in an examination for a Physics paper have normal distribution with mean μ and variance σ2 . 10% of the students obtai
Blababa [14]

Let X be the random variable for the number of marks a given student receives on the exam.

10% of students obtain more than 75 marks, so

P(X>75)=P\left(\dfrac{X-\mu}\sigma>\dfrac{75-\mu}\sigma\right)=P(Z>z_1)=0.10

where Z follows a standard normal distribution. The critical value for an upper-tail probability of 10% is

P(Z>z_1)=1-F_Z(z_1)=0.10\implies z_1=F_Z^{-1}(0.90)

where F_Z(z)=P(Z\le z) denotes the CDF of Z, and F_Z^{-1} denotes the inverse CDF. We have

z_1=F_Z^{-1}(0.90)\approx1.2816

Similarly, because 20% of students obtain less than 40 marks, we have

P(X

so that

P(Z

Then \mu,\sigma are such that

\dfrac{75-\mu}\sigma\approx1.2816\implies75\approx\mu+1.2816\sigma

\dfrac{40-\mu}\sigma\approx-0.8416\implies40\approx\mu-0.8416\sigma

and we find

\mu\approx53.8739,\sigma\approx16.4848

3 0
3 years ago
What is the percent of change from 5,000 to 9,000?
Paul [167]

Answer:

40%

Step-by-step explanation:

10000 = 5000 = 50% + 9000 = 40%

3 0
2 years ago
Explain truth tables and how they work​
lions [1.4K]

A truth table is a way of organizing information to list out all possible scenarios. We title the first column p for proposition. In the second column we apply the operator to p, in this case it's ~p (read: not p). So as you can see if our premise begins as True and we negate it, we obtain False, and vice versa.

6 0
2 years ago
Read 2 more answers
Suppose you work for a large coffee distribution that has a secret coffee blend it sells to local stores. Gazebo blend with Kona
KATRIN_1 [288]

Answer:

12 Pounds

Step-by-step explanation:

The proportion of the secret blend is 90/27. When there is only 40 pounds of gazebo, your proportion looks like this:  40/X. X being pounds of Kona. When you are to simplify 90/27 you're left with 10/3. Cross multiply 10/3 and 40/X to and simply to get 10x = 120, leaving you with 12 as your final answer. Hope this explanation helps.

8 0
3 years ago
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