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Bogdan [553]
2 years ago
11

3. Using the distributive property, write an equivalent expression. * (5 Points) 8(3x - 5)

Mathematics
2 answers:
julia-pushkina [17]2 years ago
5 0

Answer:

24x - 40

Step-by-step explanation:

8 x 3 = 24

8 x 5 = 40

24x - 40

salantis [7]2 years ago
5 0
Answer: 24x - 40


explanation
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Learning Task 3: Solve the given problems. Write your answers in your answer sheet.
KonstantinChe [14]

Answer:

Team Nara collected more water

1.402 > 1.045

so team nara wins

3 0
3 years ago
It's really hard for me to understand what they are asking.​
Gekata [30.6K]

Answer:

B is the correct answer

Step-by-step explanation:

Angles 1, 2, and 3 added together should make 180 degrees.

So, if angle 2 is 70 degrees, you subtract 70 from 180 (180-70=110) and you're left with 110 degrees.

Angle 1 and 3 add together should make 110 degrees which makes B the only true statement.

3 0
3 years ago
A new medical test provides a false positive result for hepatitis 2% of the time that is a perfectly healthy subject being teste
Oxana [17]
Given that X <span>be the number of subjects who test positive for the disease out of the 30 healthy subjects used for the test.

The probability of success, i.e. the probability that a healthy subject tests positive is given as 2% = 0.02


Part A:

</span><span>The probability that all 30 subjects will appropriately test as not being infected, that is the probability that none of the healthy subjects will test positive is given by:

</span>P(X)={ ^nC_xp^x(1-p)^{n-x}} \\  \\ P(0)={ ^{30}C_0(0.02)^0(1-0.02)^{30-0}} \\  \\ =1(1)(0.98)^{30}=0.5455
<span>

Part B:

The mean of a binomial distribution is given by

</span>\mu=np \\  \\ =30(0.02) \\  \\ =0.6
<span>
The standard deviation is given by:

</span>\sigma=\sqrt{np(1-p)} \\ \\ =\sqrt{30(0.02)(1-0.02)} \\ \\ =\sqrt{30(0.02)(0.98)}=\sqrt{0.588} \\  \\ =0.7668
<span>

Part C:

This test will not be a trusted test in the field of medicine as it has a standard deviation higher than the mean. The testing method will not be consistent in determining the infection of hepatitis.</span>
5 0
3 years ago
I need your help to find the value of x.round to the nearest hundred just the photo ​
True [87]

Answer:

Step-by-step explanation:

1. Cos 52° = adj/hyp

Cos 52° = x/13

x = 13×cos 52°

x = 8.00

2. Sin70° = opp/hyp

Sin70° = 30/x

x sin70° = 30

x = 30/sin70°

x = 31.93

x ≈ 32

3. Tan∅ = opp/adj

Tan∅ = 45/51

Tan∅ = 0.8824

∅ = tan-¹(0.8824)

∅ = 41.42°

∅ ≈ 41°

3 0
3 years ago
Write out the sample space for the given experiment. Use the following letters to indicate each choice: M for mushrooms, O for o
pshichka [43]

Answer: {(MBV), (MBH) , (MEV) , (MEH) , (OBV), (OBH) , (OEV) , (OEH)}

Step-by-step explanation:

  • Sample space is a set that contains all the possible outcomes for an event.

For salad:

Choices for extra toppings (mushrooms, olives) =2

Choices for meats (bacon, eggs) =2

Choices for dressings (vinaigrette, honey mustard.)= 2

By Fundamental counting principal .

The number of different salads can be made= (Choices for extra toppings) x (Choices for meats ) x (Choices for dressings)

= 2 x 2 x 2 = 8

All the possible outcomes = (MBV), (MBH) , (MEV) , (MEH) , (OBV), (OBH) , (OEV) , (OEH)

Required Sample space would be : {(MBV), (MBH) , (MEV) , (MEH) , (OBV), (OBH) , (OEV) , (OEH)}

5 0
3 years ago
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