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Dmitry_Shevchenko [17]
2 years ago
15

Use the distributive property to solve the equation -4(x+3)=8

Mathematics
1 answer:
algol [13]2 years ago
7 0

Answer:

x=-5

Step-by-step explanation:

-4(x+3)=8\\\\(-4)(x)+(-4)(3)=8\\\\-4x+(-12)=8\\\\-4x-12=8\\\\-4x-12+12=8+12\\\\-4x=20\\\\\frac{-4x}{-4}=\frac{20}{-4}\\\\x=-5

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Find the probability of exactly four successes in five trials of a binomial experiment in which the probability of success is 40
hodyreva [135]

Answer:

p(4 successes) ≈ 7.7%

Step-by-step explanation:

p(k successes in n trials) = C(n,k)·p^k·(1-p)^(n-k)

You have n=5, k=4, p=0.4, so the probability is ...

p(4 successes) = C(5,4)·(0.4)^4·(1 -0.4)^1 = 5·0.4^4·0.6 = 0.0768

p(4 successes) ≈ 7.7%

8 0
3 years ago
Read 2 more answers
i need to find the area of a rectangle using the formula A=b*h the height is 810 cm the base is 10 meters...i know i need to con
leva [86]

Answer:

81000cm^{2}  or   8.1m^{2}

Step-by-step explanation:

1m = 100cm

10m = 1000cm

a= b*h

a= 1000cm * 810cm

= 810000cm^{2}

1m^{2} = 10000cm^{2}

810000cm^{2} = 8.1m^{2}

7 0
3 years ago
Twenty-six students apply to serve as an usher at a school function. Eight of the those applying are freshmen, 7 are sophomores,
Gelneren [198K]

Answer:

d

Step-by-step explanation:

from usatestprep:

The situation is not an example of uniform probability because freshmen, sophomores, juniors, and seniors do not have equal probabilities of being selected.; Uniform probability → equal probability of being selected

P(freshman) =  

8/

26

; P(sophomore) =  

7 /

26

; P(junior) =  

6 /

26

; P(senior) =

5 /

26

; unequal probabilities → not uniform

6 0
3 years ago
Read 2 more answers
I don’t understand how to proof Cpctc or answer the questions
n200080 [17]
I think that first you need to understand what CPCTC is used for.

Let's start with the definition of congruent triangles.

Definition of congruent triangles
Two triangles are congruent if each side of one triangle is congruent to a corresponding side of the other triangle and each angle of one triangle is congruent to a corresponding angle of the other triangle.

A definition works two ways.
1) If you are told the sides and angles of one triangle are congruent to the corresponding sides and angle of a second triangle, then you can conclude the triangles are congruent.
2) If you are told the triangles are congruent, then you can conclude 6 statements of congruence, 3 for sides and 3 for angles.

Now let's see what CPCTC is and how it works.
CPCTC stands for "corresponding parts of congruent triangles are congruent."
The way it works is this. You can prove triangles congruent by knowing fewer that 6 statements of congruence. You can use ASA, SAS, AAS, SSS, etc. Once you prove two triangles congruent, then by the definition of congruent triangles, there are 6 congruent statements. That is where CPCTC comes in. Once you prove the triangles congruent, then you can conclude two corresponding sides or two corresponding angles are congruent by CPCTC. These two corresponding parts were not involved in proving the triangles congruent.

Problem 1.

Statements                                        Reasons
1. Seg. AD perp. seg. BC               1. Given
2. <ADB & <ADC are right angles     2. Def. of perp. lines
3. <ADB is congr. <ADC                 3. All right angles are congruent
4. Seg. BD is congr. seg CD           4. Given
5. Seg. AD is congr. seg. AD        5. Congruence of segments is reflexive
6. Tr. ABD is congr. tr. ACD           6. SAS
7. Seg. AB is congr. seg. AC        7. CPCTC

4 0
3 years ago
Lucy was running a 10 mile race and the graph represents her running pace for the race. If the x-axis represents miles ran and t
Ostrovityanka [42]

Answer:

C

Step-by-step explanation:

The function multiplies by 8 so 6 would be 48 and 10 would be 80.

Have a great day!

4 0
3 years ago
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