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2 years ago

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Select the statement that is true. Group of answer choices There are integers s and t such that 2=102⋅s+72⋅t . here are integers

s and t such that 8=102⋅s+72⋅t . There are integers s and t such that 1=102⋅s+72⋅t . There are integers s and t such that 6=102⋅s+72⋅t .

1 answer:

LekaFEV [45]2 years ago

3 0

Answer:

Step-by-step explanation: true

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Jace and his children went into a bakery and he bought $9 worth of cookies and brownies. Each cookie costs $0.75 and each browni

MA_775_DIABLO [31]

Answer:

(9, 18) (3, 6) Plz correct me if wrong

Step-by-step explanation:

6 0

1 year ago

Read 2 more answers

A box contains 10 balls numbered from 1 to 10 inclusive. if ann removes a ball at random and replaces it, and then jane removes

Mrac [35]

The probability of the first event happening is 1/10 or 0.1
If Ann puts the ball back, there are still 10 balls of which, Ann removed 1. Therefore the probability of the second event is also 0.1.
0.1x0.1=0.01, which is the probability that both women removed the same ball

4 0

2 years ago

You just discovered that you have 100 feet of fencing and you have decided to make a rectangular garden. What is the largest are

Rudik [331]

The area is:
A = x * y
The perimeter is:
P = 2x + 2y = 100
We clear y:
2y = 100-2x
y = 50-x
We write the area in terms of x:
A (x) = x * (50-x)
Rewriting:
A (x) = 50x-x ^ 2
Deriving:
A '(x) = 50-2x
We equal zero and clear x:
50-2x = 0
x = 50/2
x = 25
Then, the other dimension is given by:
y = 50-x
y = 50-25
y = 25
Therefore, the largest area is:
A = (25) * (25)
A = 625 feet ^ 2
Answer:
the largest area you can enclose using the materials you have is:
A = 625 feet ^ 2

8 0

2 years ago

Find the simplified quotient. (2x^2 + 5x +3 / x^2 - 3x -4) / (4x^2 + 2x - 6 / x^2 - 8x + 16)

irinina [24]

ANSWER

$\frac{x - 4}{2x - 2}$

EXPLANATION

The given expression is;

$\frac{2 {x}^{2} + 5x + 3}{ {x}^{2} - 3x - 4} \div \frac{4 {x}^{2} + 2x - 6}{ {x}^{2} - 8x + 16}$

We factor to obtain;

$\frac{(x + 1)(2x + 3)}{(x - 4)(x + 1)} \div \frac{2(x - 1)(2x + 3)}{(x - 4)(x - 4)}$

Multiply by the reciprocal of the second fraction

$\frac{(x + 1)(2x + 3)}{(x - 4)(x + 1)} \times \frac{(x - 4)(x - 4)}{2(x - 1)(2x + 3)}$

Cancel out common factors to get,

$\frac{1}{1} \times \frac{(x - 4)}{2(x - 1)}$

$\frac{x - 4}{2x - 2}$

8 0

2 years ago

Read 2 more answers

A government official is in charge of allocating social programs throughout the city of Vancouver. He will decide where these so

otez555 [7]

Answer: (0.132132, 0.274368)

Step-by-step explanation:

Given : A simple random sample of 123 people living in Gastown and finds that 25 have an annual income that is below the poverty line.

i.e. n= 123

$\hat{p}=\dfrac{25}{123}\approx0.203252$

Critical value for 95% confidence interval : $z_{\alpha/2}=1.96$

Confidence interval for population :

$\hat{p}\pm z_{\alpha/2}\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}$

i.e. $0.203252\pm (1.96)\sqrt{\dfrac{0.203252(1-0.203252)}{123}}$

$0.203252\pm (1.96)\sqrt{\dfrac{0.203252(1-0.203252)}{123}}\\\\\0.203252\pm0.071118\\\\=(0.20325-0.071118,\ 0.203252+0.071118)\\\\=(0.132132,\ 0.274368)$

Hence, the 95% confidence interval for the true proportion of Gastown residents living below the poverty line : (0.132132, 0.274368)

5 0

2 years ago