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slava [35]
2 years ago
9

A survey was done of 160 households to find out if they watch cable television, internet television, or

Mathematics
1 answer:
murzikaleks [220]2 years ago
5 0

Answer: 2) 0.275

Step-by-step explanation:

Total households = 160

Watch Cable TV: 109

Watch internet TV: 88

Watch neither: 7

We want to find the number that watch both of them.

Now, the total number of housholds that watch at least one thing is:

160 - 7 = 153.

Now, if we add the number that watch by cable and the number that watch by  internet we have:

109 + 88 = 197

The difference is:

197 - 153 = 44

This means that we have 44 households that watch both things.

This is because we are counting those 44 in the 109 for cable and also in the 88 for internet (because they watch both) and this is why we have a surpass.

Then the number that watch both things is 44, then the probability that a random household watched both things is equal to:

P = 44/160 = 0.275

The correct option is 2

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Find the gradient of the line segment between the points (2,3) and (-3,8).
fiasKO [112]

Answer:

m = -1

Step-by-step explanation:

Given

Points (2,3) and (-3,8)

Required

Determine the gradient

Gradient (m) is calculated by dividing the change in y values by the change in x values.

i.e.

m = \frac{y_2 - y_1}{x_2 - x_1}

Where:

(x_1,y_1) = (2,3)

(x_2,y_2) = (-3,8)

m = \frac{y_2 - y_1}{x_2 - x_1} becomes

m = \frac{8 - 3}{-3 -2}

m = \frac{5}{-5}

m = -1

<em>Hence, the gradient is -1</em>

7 0
2 years ago
Based on the graph shown to the right, whose phones cost varies directly with the amount of time spent talking?
Lena [83]

Answer:

B

Step-by-step explanation:

Given 2 quantities that vary directly, then the graph must pass through the origin.

Nikiya's graph is the only one to do this ⇒ B



8 0
2 years ago
Read 2 more answers
The number w and 0.8 are additive inverses.
umka2103 [35]

Since, the number w and 0.8 are additive inverses.

A number 'a' is said to have an additive inverse '-a' if "a+ (-a)= 0".

Since, 'w' and '0.8' are additive inverses of each other such that w + 0.8 = 0

Therefore, the value of 'w' should be '-0.8' so that -0.8 + 0.8 = 0.

So, the value of 'w' is =0.8

Now, Refer to the attached image which represents the position of 0.8 , w ( that is -0.8) and the sum of 0.8 and w.

Sum of 0.8 and w = 0.8 + w

= 0.8 +(-0.8)

= 0.

3 0
2 years ago
Read 2 more answers
The Unique Glass Company reported sales of $24 million in 1995, and sales increased by 15% each year for the next 10 years.
Dimas [21]

Answer:

n + 1 = 24 million x 1.15

Step-by-step explanation:

The sales is increased 15 percent, so every year 24million is multiplyed with 1.15 to get the result... so yea

3 0
2 years ago
A given set of values is found to be a normal distribution with a mean of 140 and a standard deviation of 18.0. Find the value t
Alisiya [41]

Answer:

The value that is greater than 45% of the data values is approximately 137.84.

Step-by-step explanation:

The key is transforming values from this distribution to a z-score range and finding the corresponding value using a z-score table.

We are looking for a value x which attains a critical z-score that corresponds to the (100-45)%=55-th percentile:

z_{0.55} = \frac{x-\mu}{\sigma}=\frac{x-140}{18}\implies x = 18\cdot z_{0.55}+140

The critical z value (from z-score table, online) is: -0.12, so:

x = 18\cdot z_{0.55}+140=18\cdot(-0.12)+140\approx137.84

The value that is greater than 45% of the data values is approximately 137.84.


5 0
2 years ago
Read 2 more answers
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