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omeli [17]
2 years ago
13

.The possible outcomes for rolling one six-sided die are shown below. Molly rolled a six-sided die 20 times. The numbers she rol

led are shown below. What is the probability that Molly will roll a one on her next roll? A1/2. B.1/20 C.1/6 D.1/5 https://app136.studyisland.com/pics/121474dicefronts1.pnghttps://app136.studyisland.com/pics/121474dicefront1.pnghttps://app136.studyisland.com/pics/121474dicefront2.png
Mathematics
1 answer:
e-lub [12.9K]2 years ago
3 0
B is the answer 1/20
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Nadia, John, Saba and Kumar are working together on a project. These are the data for each: Nadia: 60 hours, overhead rate 75%,
Lynna [10]
John has the highest direct labour costs of <span>$1548.80. Obtain the number of hours worked by multiplying the number of hours available by the percentage of time that is not personal time. Obtain the proportion of overhead rate by multiplying the percentage of overhead rate by the rate in dollars per hour. Finally, multiply the two products obtained to get direct labour costs for each individual.</span>
3 0
2 years ago
Write three numerical expressions that are equivalent to (0.0004) . (0.005)
yKpoI14uk [10]

<em><u>The three equivalent numerical expressions are:</u></em>

(0.0004) . (0.005) = (\frac{4}{10000}).(\frac{5}{1000})

(0.0004) . (0.005)= (\frac{1}{2500}).(\frac{1}{200})

(0.0004) . (0.005) = (4 \times 10^{-4}).(5 \times 10^{-3})

<em><u>Solution:</u></em>

We have to write three numerical expressions that are equivalent to (0.0004) . (0.005)

<em><u>Given expression is:</u></em>

(0.0004) . (0.005)

<em><u>First numerical expression:</u></em>

We know that 0.0004 can be written in fraction as:

0.0004 = \frac{0.0004 \times 10000}{10000} = \frac{4}{10000}

Similarly,

0.005 = \frac{0.005 \times 1000}{1000} = \frac{5}{1000}

Therefore,

(0.0004) . (0.005) = (\frac{4}{10000}).(\frac{5}{1000})

<em><u>Second numerical expression:</u></em>

The first numerical expression can be simplified to get second numerical expression

(\frac{4}{10000}).(\frac{5}{1000}) = (\frac{1}{2500}).(\frac{1}{200})

<em><u>Third numerical expression:</u></em>

The given expression can be expressed in scientific notation:

<em><u>Steps for converting to scientific notation:</u></em>

Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point. The resulting decimal number is a.

Count how many places you moved the decimal point. This number is b.

If you moved the decimal to the left b is positive.

If you moved the decimal to the right b is negative.

If you did not need to move the decimal b = 0.

Write your scientific notation number as a x 10^b and read it as "a times 10 to the power of b."

Remove trailing 0's only if they were originally to the left of the decimal point.

0.0004 = 4 \times 10^{-4}\\\\0.005 = 5 \times 10^{-3}

Therefore, third equivalent numerical expression is:

(0.0004) . (0.005) = (4 \times 10^{-4}).(5 \times 10^{-3})

8 0
1 year ago
Jason’s savings account has a balance of $2179. After 5 years , what will the amount of interest be at 6% compounded quarterly?
satela [25.4K]

Answer:

$755.80

Step-by-step explanation:

Determine the compound amount first and then subtract the principal from it, to find the amount of interest.

The compound amount formula is A = P (1 + r/n)^(nt), where

P is the initial principal, r is the interest rate as a decimal fraction, n is the number of compounding periods per year, and t is the number of years.  Here, P = $2179; t = 5 yrs; r = 0.06; and n = 4 (quarterly compounding).

We get:

A = $2179(1 + 0.06/4)^(4*5), or $2179(1.015)^20, or $2179(1.347) = $2937.80.

The compound amount is $2934.80.  Subtracting the $2179 principal results in the interest earned:  $755.80.

5 0
2 years ago
Which represents the reflection of f(x)= square root x over the x-axis?
antiseptic1488 [7]
The reflection of f(x)=sqrt(x) over x-axis will be represented by option a. This is because it is the reflection of the imaginary part of the function f(x)= sqrt(x). Hence the correct answer is a. 

8 0
2 years ago
Read 2 more answers
What number must we multiply by $-\frac23$ to get a product of $\frac34$?
stich3 [128]

Let x be unknown number. If number x is multiplied by -\dfrac{2}{3} and the product is equal to \dfrac{3}{4}, then

x\cdot \left(-\dfrac{2}{3}\right)=\dfrac{3}{4}.

To find x you should divide \dfrac{3}{4} by -\dfrac{2}{3}:

x=\dfrac{\dfrac{3}{4}}{-\dfrac{2}{3}}=\dfrac{3}{4}\cdot \left(-\dfrac{3}{2}\right)=-\dfrac{3\cdot 3}{4\cdot 2}=-\dfrac{9}{8}.

Answer: x=-\dfrac{9}{8}

7 0
2 years ago
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