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makvit [3.9K]
3 years ago
11

3h-2(4h-5)=10-5h A-0 B-4 C-infinity many solutions D-no solutions​

Mathematics
1 answer:
Crank3 years ago
7 0

Answer:

Step-by-step explanation:

3h - 8h + 10 = 10 - 5h

-5h + 10 = 10 - 5h

10 = 10

infinitely many solutions

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Evaluate each expression for g = -7 and h = 3 and match it to its value.
Arturiano [62]

Answer:

The values of given expressions are:

1. gh = -21

2. g^2 - h = 46

3. g + h^2 = 2

4. g + h  = -4

5. h - g  = 10

6. g - h = -10

Step-by-step explanation:

Given values of g and h are:

g = -7

h = 3

<u>1. gh</u>

The two numbers are being multiplied

Putting the values

gh = (-7)(3) = -21

<u>2. g^2-h</u>

Putting the values

=(-7)^2-3\\=49-3\\=46

<u>3. g+h^2</u>

Putting the values

= -7 + (3)^2\\=-7+9\\=2

<u>4. g+h</u>

Putting the values

= -7+3\\=-4

<u>5. h-g</u>

Putting the values

= 3 - (-7)\\=3+7\\=10

<u>6. g-h</u>

Putting values

=-7-3\\=-10

Hence,

The values of given expressions are:

1. gh = -21

2. g^2 - h = 46

3. g + h^2 = 2

4. g + h  = -4

5. h - g  = 10

6. g - h = -10

4 0
3 years ago
Read 2 more answers
Please help me with this question. image attached.
Alona [7]

Answer:

Answer: A as you have indicated.

Step-by-step explanation:

Givens

  • There are two sides that are 3.1 cm in length
  • There are two sides that are 6.2 cm in length

Formula

  • P = 2*(b + a)
  • where b is the base and
  • where a is the side

Solution

  • P = 2*(6.2 + 3.1)       Add what is inside the brackets
  • P = 2*9.3                 Multiply
  • P = 18.6

Answer A


7 0
3 years ago
Suppose the probability of selling a car today is 0.28. Find the odds against selling a car today.
Nat2105 [25]

Answer: 99.78%

Step-by-step explanation:

100% - .28 = 99.78

3 0
3 years ago
Applying Inverse Properties In Exercise,apply the inverse properties of logarithmic and exponential functions to simplify the ex
kodGreya [7K]

Answer:

The simplified form of the given expression is (2x-1).

Step-by-step explanation:

Consider the given expression is

\ln e^{2x-1}

According to the Inverse Properties of In

\ln e^x=x

In the given expression the power of e is (2x-1).

Using the Inverse Properties of In, we get

2x-1

Therefore, the simplified form of the given expression is (2x-1).

5 0
3 years ago
Two different simple random samples are drawn from two different populations. The first sample consists of 30 people with 16 hav
Furkat [3]

Answer:

  • There is no significant evidence that p1 is different than p2 at 0.01 significance level.
  • 99% confidence interval for p1-p2 is  -0.171 ±0.237 that is (−0.408, 0.066)

Step-by-step explanation:

Let p1 be the proportion of the common attribute in population1

And p2 be the proportion of the same common attribute in population2

H_{0}: p1-p2=0

H_{a}: p1-p2≠0

Test statistic can be found using the equation:

z=\frac{p2-p1}{\sqrt{{p*(1-p)*(\frac{1}{n1} +\frac{1}{n2}) }}} where

  • p1 is the sample proportion of the common attribute in population1 (\frac{16}{30} =0.533)
  • p2 is the sample proportion of the common attribute in population2 (\frac{1337}{1900} =0.704)
  • p is the pool proportion of p1 and p2 (\frac{16+1337}{30+1900}=0.701)
  • n1 is the sample size of the people from population1 (30)
  • n2 is the sample size of the people from population2 (1900)

Then z=\frac{0.704-0.533}{\sqrt{{0.701*0.299*(\frac{1}{30} +\frac{1}{1900}) }}} ≈ 2.03

p-value of the test statistic is  0.042>0.01, therefore we fail to reject the null hypothesis. There is no significant evidence that p1 is different than p2.

99% confidence interval estimate for p1-p2 can be calculated using the equation

p1-p2±z*\sqrt{\frac{p1*(1-p1)}{n1}+\frac{p2*(1-p2)}{n2}} where

  • z is the z-statistic for the 99% confidence (2.58)

Thus 99% confidence interval is

0.533-0.704±2.58*\sqrt{\frac{0.533*0.467}{30}+\frac{0.704*0.296}{1900}} ≈ -0.171 ±0.237 that is (−0.408, 0.066)

7 0
3 years ago
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