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natka813 [3]
3 years ago
15

The high temperature, in F, for the past 4 days was 45, 38, 46, and 35. Carlos knows that the mean high temperature for the past

5 days was 42 F. Write and solve an equation to find the high temperature on the first day.
Mathematics
1 answer:
Natali [406]3 years ago
7 0

The temperature is 46°F

Step-by-step explanation:

Given the temperatures in F for the past four days as: 45, 38, 46, 35

The mean for the five days is 42 °F

Find the total temperatures with the mean of 42 in 5 days. Perform multiplication

42*5= 210 ° F

Sum of temperature in 4 days is 45+38+46+35=164 °F

The temperatures for the first day will be : 210°F-164°F=46°F

Learn More

Mean ; brainly.com/question/256619

Temperature, mean, equation

#LearnwithBrainly

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A wall of a building is 34 inches wide Sixteen inches is concrete, 12 inches is brick, and 6 inches is limestone What fraction o
Elza [17]
The fraction wall of the concrete is 8/17.
6 0
3 years ago
Suppose we have an unfair coin that its head is twice as likely to occur as its tail. a)If the coin is flipped 3 times, what is
Alenkinab [10]

Answer: a) 0.2222, b) 0.3292, c) 0.1111

Step-by-step explanation:

Since we have given that

Let the probability of getting head be p.

Since,  its head is twice as likely to occur as its tail.

p+\dfrac{p}{2}=1\\\\\dfrac{3p}{2}=1\\\\p=\dfrac{2}{3}

a)If the coin is flipped 3 times, what is the probability of getting exactly 1 head?

So, here, n  = 3

p=\dfrac{2}{3}

q=\dfrac{1}{3}

Now,

P(X=1)=^3C_1(\dfrac{2}{3})^1(\dfrac{1}{3})^2=0.2222

b)If the coin is flipped 5 times, what is the probability of getting exactly 2 tails?

2 tails means 3 heads.

So, it becomes,

P(X=3)=^5C_3(\dfrac{2}{3})^3(\dfrac{1}{3})^2=0.3292

c)If the coin is flipped 4 times, what is the probability of getting at least 3 tails?

P(X\leq 1)=\sum _{x=0}^1^4C_x(\dfrac{2}{3}^x(\dfrac{1}{3})^{4-x}=0.1111

Hence, a) 0.2222, b) 0.3292, c) 0.1111

8 0
3 years ago
3. Which polynomial is equal to
Nataly_w [17]

Which polynomial is equal to  (-3x^2 + 2x - 3) subtracted from  (x^3 - x^2 + 3x)?

<h3><u><em>Answer:</em></u></h3>

The polynomial equal to (-3x^2 + 2x - 3) subtracted from  (x^3 - x^2 + 3x) is x^3 + 2x^2 + x + 3

<h3><u><em>Solution:</em></u></h3>

Given that two polynomials are: (-3x^2 + 2x - 3) and (x^3 - x^2 + 3x)

We have to find the result when (-3x^2 + 2x - 3) is subtracted from  (x^3 - x^2 + 3x)

In basic arithmetic operations,

when "a" is subtracted from "b" , the result is b - a

Similarly,

When (-3x^2 + 2x - 3) is subtracted from  (x^3 - x^2 + 3x) , the result is:

\rightarrow (x^3 - x^2 + 3x) - (-3x^2 + 2x - 3)

Let us solve the above expression

<em><u>There are two simple rules to remember: </u></em>

  • When you multiply a negative number by a positive number then the product is always negative.
  • When you multiply two negative numbers or two positive numbers then the product is always positive.

So the above expression becomes:

\rightarrow (x^3 - x^2 + 3x) + 3x^2 -2x + 3

Removing the brackets we get,

\rightarrow x^3 - x^2 + 3x + 3x^2 -2x + 3

Combining the like terms,

\rightarrow x^3 -x^2 + 3x^2 + 3x - 2x + 3

\rightarrow x^3 + 2x^2 + x + 3

Thus the resulting polynomial is found

5 0
3 years ago
A driving distance is 650km. The distance shown on a map is 4 cm. Express the map scale in words.
Anna007 [38]
650 kilometers divided by 4 centimeters. / 650 ÷ 4 (for your answer).
4 0
3 years ago
A park charges $12 for 1 round of mini golf and a reduced fee for each additional round played. If Tom paid $47 for 6 rounds of
faltersainse [42]
Set it up as an equation: 12 + 6x = 47
(x is the reduced fee)

12 + 6x = 47
12 - 12 + 6x = 47 - 12
6x = 35
x = 35/6
x = 5.83 repeating (only the 3 is repeating)
8 0
3 years ago
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