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Yakvenalex [24]
3 years ago
15

A juice container is a square prism with base edge length 4 inches. When an 8-inch straw is inserted into the container as shown

, exactly 1 inch remains outside the container. The length of AB is ___ inches, to the nearest inch.

Mathematics
1 answer:
yKpoI14uk [10]3 years ago
4 0
The answer is 7 inches
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Your friend deposits $1900 in an account that earns 6% compounded
iVinArrow [24]

Answer:

$2,128

Step-by-step explanation:

6% + 6% = 12%

12% x 1900 = 228

1900 + 228 = 2128

her accoun balance will be $2128 after 2 years

mark as brainlest :)

6 0
2 years ago
Read 2 more answers
Which equation of the line that is parallel to the line 5x + 2y =12 and passes through point -2,4
Gnesinka [82]

Answer:

The equation of the line would be y = -5/2x - 1

Step-by-step explanation:

In order to find the equation of the line, we first need to find the slope of the original line. We can do that by solving for y.

5x + 2y = 12

2y = -5x + 12

y = -5/2x + 6

Now that we have a slope of -5/2, we know the new slope will be the same since parallel lines have the same slope. So we can use it along with the point in point-slope form to find the equation.

y - y1 = m(x - x1)

y - 4 = -5/2(x + 2)

y - 4 = -5/2x - 5

y = -5/2x - 1

3 0
3 years ago
In a pile of coins there are 7 more quarters than nickels. If there is a total of$2.65 in coins, how many quarters are there?
Alinara [238K]
<span>A quarter is equivalent to 25 cents or $0.25 and a nickel is equal to 5 cents or $0.05. In the given in this item, if there are x nickels then, there are x + 7 quarters. With these and the total amount known, we can now compute for the value of x.
                 (x)(0.05) + (x + 7)(0.25) = 2.65
 Simplifying,
             0.05x + 0.25x + 1.75 = 2.65
 Simplifying further,
                0.3x = 0.9
 The value of x from the equation is 3. Hence, there are 10 quarters.</span>
6 0
3 years ago
Read 2 more answers
If the factors of quadratic function g are (x − 7) and (x + 3), what are the zeros of function g?
MArishka [77]

Answer: B. -3 and 7

Step-by-step explanation:

To find the zeros, just move the constants to the other side,

x - 7 ⇒ x = 7

x + 3 ⇒ x = -3

If the number is moved to the other side its sign becomes opposite

Hope it helps!

8 0
2 years ago
The CEO of a clothing company estimates that 52% of customers will make a purchase. Part A: How many customers should a salesper
4vir4ik [10]

Answer:

(a) The expected number of should a salesperson expect until she finds a customer that makes a purchase is 0.9231.

(b) The probability that a salesperson helps 3 customers until she finds the first person to make a purchase is 0.058.

Step-by-step explanation:

Let<em> </em>the random variable <em>X</em> be defined as the number of customers the salesperson assists before a customer makes a purchase.

The probability that a customer makes a purchase is, <em>p</em> = 0.52.

The random variable <em>X</em> follows a Geometric distribution since it describes the distribution of the number of trials before the first success.

The probability mass function of <em>X</em> is:

P(X=x)=(1-p)^{x}p

The expected value of a Geometric distribution is:

E(X)=\frac{1-p}{p}

(a)

Compute the expected number of should a salesperson expect until she finds a customer that makes a purchase as follows:

E(X)=\frac{1-p}{p}

         =\frac{1-0.52}{0.52}\\=0.9231

This, the expected number of should a salesperson expect until she finds a customer that makes a purchase is 0.9231.

(b)

Compute the probability that a salesperson helps 3 customers until she finds the first person to make a purchase as follows:

P(X=3)=(1-0.52)^{3}\times0.52\\=0.110592\times 0.52\\=0.05750784\\\approx 0.058

Thus, the probability that a salesperson helps 3 customers until she finds the first person to make a purchase is 0.058.

8 0
3 years ago
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