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erastovalidia [21]
3 years ago
13

The amount of time x in hours spent each week watching television by children under twelve is normally distributed with mean 24.

5 hours and standard deviation 6.23 hours. The percentage that a randomly selected child spends at least 30 hours each week watching television is about:
Mathematics
1 answer:
oee [108]3 years ago
8 0

Answer:

18.867%

Step-by-step explanation:

We solve using z score formula

z = (x-μ)/σ, where

x is the raw score = 30 hours

μ is the population mean = 24.5 hours

σ is the population standard deviation = 6.23 hours

z = 30 - 24.5 /6.23

z = 0.88283

Probability value from Z-Table:

P(x<30) = 0.81133

The percentage that a randomly selected child spends at least 30 hours each week watching television is calculated as:

At least 30 hours = 30 hours or more = ≥ 30

Hence,

P(x>30) = 1 - P(x<30)

= 1 - 0.81133

= 0.18867

Converting to percentage

0.18867 × 100

= 18.867%

The percentage that a randomly selected child spends at least 30 hours each week watching television is 18.867%

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elena55 [62]
Hello!

17,000 * 85% = 14,450

85% of $17,000 is $14,450. 
3 0
3 years ago
the problem is kamala had 5,026 grams  flour in a canister.she brought a 4,158 gram bag of flour.she poured some flour from the
andrey2020 [161]
Hello, 

x= amount of flour that she poured in the canister

there was 5,026 grams of flour, and now: 5,026+x

In the bag there was 4,158, now: 4,158

I says that as a result the mass of the flour in the canister is twice the mass of the flour left in the bag, so:

5,026+x=2*(4,158-x) \\ 5,026+x=8,316-2x \\ 3x=8,316-5,026 \\ 3x=3,290 \\ x=1,096.67

So, she poured 1,096.67 grams, we subtract this from the initial amount in the bag and we have the answer:

4,158g-1,096.67=\boxed{3,061.33}

Answer: there is 3,061.33 grams of flour in the bag
8 0
4 years ago
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algol [13]
(2,3)??? Maybe? I really don’t know
4 0
3 years ago
A line has a slope of 10 and includes the points (3, n) and (4,0). What is the value of n?<br> n =
ExtremeBDS [4]

Answer:

The value of n = -10  

Step-by-step explanation:

Given the points

  • (3, n)
  • (4,0)

Finding the slope between (3, n) and (4,0)

\left(x_1,\:y_1\right)=\left(3,\:n\right),\:\left(x_2,\:y_2\right)=\left(4,\:0\right)

As slope = 10

using the formula

Slope  =  [y₂ - y₁] /  [x₂ - x₁]

so substituting the values

      10   =  [0 - n] / [4 - 3]

      10   = -n / 1

     10 = -n

     n = -10    

Therefore, the value of n = -10  

8 0
3 years ago
The midpoint of (3 x, -2) and (-4, 5y) is (1,4). find x, -y​
Mariana [72]

Answer:

(x,-y): (2,-2)

Step-by-step explanation:

M=(x+x)/2,(y+y)/2

Given (1,4)=

\frac{3x - 4}{2}

This implies:

1 =  \frac{3x - 4}{2}

3x - 4 = 2 \\ 3x = 2 + 4 \\  \frac{3x }{3}  =  \frac{6}{3}  \\ x = 2

In a similar way,

4 =  \frac{ - 2 + 5y}{2}  \\  - 2 + 5y = 8 \\ 5y = 10 \\ y = 2

The question demanded (x,-y)

Hence(2,-2) is the answer

7 0
2 years ago
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