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netineya [11]
3 years ago
6

Kate is allowed to work no more than 20 hours a week. She has already worked 13 hours this week. At most, how many more hours CA

N she work? Write an inequality and solve.
A) x + 13 ≤ 20; x ≤ 7
B) x + 13 ≥ 20; x ≥ 7
C) x + 13 < 20; x < 7
D) x + 13 > 20; x > 7
Mathematics
1 answer:
Alja [10]3 years ago
8 0

Answer:

A) \displaystyle x + 13 ≤ 20; x ≤ 7

Step-by-step explanation:

The keywords are no more than, meaning that twenty hours is the MAXIMUM, or LIMIT, so you would choose this answer choice.

* There IS a range, so you must include <em>equal</em><em> </em><em>to</em>.

I am joyous to assist you anytime.

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There are 4 consecutive integers with a sum of 298. What is the value of the least integer?
Allushta [10]

Step-by-step explanation:
let the consecutive integers be x,x+1,x+2,x+3
x+x+1+x+2+x+3=298
4x+6=298
4x=298-6
4x=292
x=292/4=73
numbers are 73,74,75,76
4 0
3 years ago
In a city with a population of 1 million, 500 people have been diagnosed with cancer, whereas the rest of the people do not have
Leni [432]

Class distribution is considered to be normal using normal approximation to binomial.

A frequency distribution is a table that shows classes or intervals of data with a count of the number in each class.

Given :

In a city with a population of 1 million

i.e Population size (N) = 1 million = 1000000

From which 500 people have been diagnosed with cancer

Let X : No. of people  have been diagnosed with cancer

X = 500

Population proportion (p) :

p = XNp =5001000000p = 0.0005

So , the proportion of people who do not have cancer (q)=1-p

                                                                                               =1-0.0005

                                                                                               =0.9995

Here the distribution of X is Binomial

Such that :

i. No. of trials are fixed

ii. Probability of success is constant (p=0.0005)

iii. Possible outcomes are two (having cancer or not)

Here we can use normal approximation to Binomial

Because N is very large

So  class distribution is considered to be normal using normal approximation to binomial.

To learn more, visit:

brainly.com/question/9325204

#SPJ4

5 0
2 years ago
Can someone please help me
MrMuchimi

Answer:

Men it's a really long process and I've just woken up men

6 0
3 years ago
Read 2 more answers
The length of a rectangle is x times the square root of 100. The width is one-half y more than three-halves x. Given that the ar
dimulka [17.4K]

Answer:

15x^2+5xy-125=0

Step-by-step explanation:

We are give the following in the question:

Dimensions of rectangle:

Length , l =

l = x\sqrt{100} = 10x

Width of rectangle, w =

w = \dfrac{y}{2} +\dfrac{3x}{2}

Area of rectangle = 125 square cm.

Area of rectangle =

A =l\times w

Putting values, we get,

125 = 10x\times (\dfrac{y}{2}+\dfrac{3x}{2})\\\\125 = 5xy+15x^2\\15x^2+5xy-125=0

is the required equation.

7 0
3 years ago
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Blanking on this one
pentagon [3]

Answer:

skp

Step-by-step explanation:

4 0
3 years ago
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