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Orlov [11]
3 years ago
9

Just question 7 thanks

Mathematics
1 answer:
ad-work [718]3 years ago
5 0
Let x be the number of boys, the number of girls will be 200-x

Number of boys with blue eyes x/3
Number of girls with blue eyes (200-x)/4
ll blue eyes ==> x/3 + (200-x)/4 = 57
Reduce to same denominator & solve for x
(4x + 600 - 3x)/12 = 681/12
x=81, the total number of boys & girls200-81 119

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Answer:

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Step-by-step explanation:

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3 years ago
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Give two solutions of the inequality: p ≤ 3
Sonja [21]

Answer:

3,2

Step-by-step explanation:

3 is equal to 3 which can be it and 2 is less than 3

7 0
3 years ago
Lisa has $150 at most to spend on clothes. She wants to buy a pair of jeans for $58 and will spend the rest on t-shirts that cos
ExtremeBDS [4]

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blank less than or equal to 6

Step-by-step explanation:

$150-$58=$92

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8 0
3 years ago
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Leena consumes 400 cal at breakfast and 350 cal at lunch. She consumes 2/3 of her daily calories at dinner. If X represents the
Zina [86]
1) Data:

Meal                calories consumed

Breakfast          400 cal
Lunch               350 cal
Dinner                x
                       ------------------
Total                 400 + 350 + x = 750 + x

2) Equation: <span>

She consumes 2/3 of her daily calories at dinner => (2/3)[750+x] = x

3) Analyze each statement:

</span><span>a) Lena consumed 1500 cal at dinner.

Solve the equation to find if the statement is true:
</span>
<span><span>(2/3)[750+x] = x</span>

2(750+x) = 3x

1500 + 2x = 3x

1500 = 3x - 2x

x = 1500

Conclusión: TRUE stament.

b) Do you equation 2/3 (x+400+350)=x can be used to model the situation.

That is the same equation that I found above.

Conclusion: TRUE statement

c) Lena consumed 500 cal at dinner.

She consumed (2/3) * 1500 = 500 cal

Conclusion: TRUE statement

d) Lena consumed 1000 cal at dinner.

No, we calculated that she consumed 500 cal at dinner.

Conclusion: FALSE statement

e) The equation 2/3(x)=x(400+350) can be used to model the situation.

No: (2/3) x = 500 and x(400+350) = 500*750 = 375,00, which are not equal.

Conclusion: FALSE statement.

f) The equation 2/3x(400+350)=x Can’t be used to model the situation

No: in that equation the variable x cancels out because it appears a factor at both sides.

</span>Conclusion: TRUE statement
3 0
4 years ago
Read 2 more answers
Data collected over time on the utilization of a computer core (as a proportion of the total capacity) were found to possess a r
Marianna [84]

Answer:

The probability that the proportion of the core being used at any particular time will be less than 0.10 is 0.08146

Step-by-step explanation:

\mu =\frac{\alpha }{\alpha +\beta  } = \frac{1}{1 + \frac{\beta}{\alpha} } 1/3   0.33  = 33.33 %

       The Probability of that the proportion of the core being used at any particular time will be less than 0.10 is given by  

PDF = \frac{x^{\alpha -1} (1-x)^{\beta -1} }{\int\limits^1_0 {u^{\alpha -1} (1-u)^{\beta -1}} \, du }

where x = 0.1

α = 2 and β = 4

PDF = \frac{0.0729 }{\int\limits^1_0 {u^{\alpha -1} (1-u)^{\beta -1}} \, du } = 1.458  

CDF = \frac{\int\limits^{0.1}_0 {t^{\alpha -1} (1-t)^{\beta -1}} \, du }{\int\limits^1_0 {u^{\alpha -1} (1-u)^{\beta -1}} \, du } = 0.08146

The probability that the proportion of the core being used at any particular time will be less than 0.10 = 0.08146.

3 0
4 years ago
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