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3 years ago

5

PLEASE HURRY !!! Mrs. Darbonne has $3.10 in nickels and dimes. She has 10 fewer nickels than she has dimes. How many dimes does

she have? How many nickels does she have?

1 answer:

GrogVix [38]3 years ago

7 0

She has in nickels 50 and she has $2.60 left

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A point estimate of the percentage of defectives in all manufactured bulbs is_____.

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What are the answers to the questions? Picture Below.

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And I think Step 3 & 4 is Associative Property

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Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.

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Answer:

The probability that a randomly chosen person gets an incorrect diagnosis is 2.965% = 0.02965.

Step-by-step explanation:

Given, The test to detect the presence of a liver disorder is 98% accurate for a person who has the disease.

so, probability of incorrect diagnosis = 100-98 = 2% = 0.02.

and 97% accurate for a person who does not have the disease.

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And 3.5% of the people in a given population actually have the disorder.

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Identify the probability to the nearest hundredth that a point chosen randomly inside the rectangle is in the square. Only answe

wel

Answer:

$0.07$

Step-by-step explanation:

we know that

The probability that a point chosen randomly inside the rectangle is in the square is equal to divide the area of the square by the area of rectangle

Let

x-----> the area of square

y----> the area of rectangle

P -----> the probability

$P=\frac{x}{y}$

<em>Find the area of square (x)</em>

$A=5^{2}=25\ in^{2}$

<em>Find the area of rectangle (y)</em>

$A=25*15=375\ in^{2}$

Find the probability P

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3 years ago

Five times the sum of a number and 27 is greater than or equal to six times the sum of that

AleksAgata [21]

The complete version of question:

<em>Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What is the solution of this problem.</em>

Answer:

$5\left(x+27\right)\ge \:6\left(x+26\right)\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-21\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-21]\end{bmatrix}$

Step-by-step explanation:

As the description of the statement is:

'<em>Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26'.</em>

<em />

As

<em>Five times the sum of a number and 27 </em>is written as: $5(x + 27)$

<em>greater than or equal </em>is written as: $\geq$

<em>six times the sum of that number and 26' </em>is written as: 6(x + 26)

so lets combine the whole statement:

<em /> $5\left(x\:+\:27\right)\ge \:6\left(x\:+\:26\right)$ <em />

solving

<em /> $5\left(x\:+\:27\right)\ge \:6\left(x\:+\:26\right)$ <em />

<em /> $5x+135\ge \:6x+156$ <em />

<em /> $5x+135-135\ge \:6x+156-135$ <em />

<em /> $5x\ge \:6x+21$ <em />

<em /> $5x-6x\ge \:6x+21-6x$ <em />

<em /> $-x\ge \:21$ <em />

<em /> $\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}$ <em />

<em /> $\left(-x\right)\left(-1\right)\le \:21\left(-1\right)$ <em />

<em /> $x\le \:-21$ <em />

Therefore,

$5\left(x+27\right)\ge \:6\left(x+26\right)\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x\le \:-21\:\\ \:\mathrm{Interval\:Notation:}&\:(-\infty \:,\:-21]\end{bmatrix}$

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3 years ago