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3 years ago

Find the value of x will mark brainliest

Mathematics

1 answer:

Virty [35]3 years ago

8 0

Answer:

x = 5

Step-by-step explanation:

Since ∠P ≅ ∠P and ∠PST≅ ∠PRQ (corresponding angles are congruent when the lines are parallel), ΔPST is similar to ΔPRQ by the AA postulate

Therefore, corresponding sides are in proportion.

PS ↔ PR and ST ↔ RQ

$\frac{PS}{PR} = \frac{ST}{RQ} \\\frac{x + 7}{2x + 6} = \frac{6}{8}$ Note: PR = PS + SR = x + 7 + x - 1 = 2x + 6

8(x + 7) = 6(2x + 6)

8x+56 = 12x + 36

4x = 20

x = 5

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The mean temperature for the first 4 days in January was 8°C. The mean temperature for the first 5 days in January was 7°C. What

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Answer:

The temperature of the 5th day was 3°C

Step-by-step explanation:

Mean temperature of the first 4 days = 8°C

Note that:

Mean = Sum of temperatures ÷ number of days

∴ 8 = sum of temperature ÷ 4

$= 8 = \frac{sum\ of\ temperatures}{4}$

$= sum\ of\ temperatures\ = 8\ \times\ 4 = 32$

Therefore the sum of the first 4 days = 32

Let the temperature of the next day (the fifth day) be m

Hence,

sum of the temperatures of first 5 days = 32 + m - - - - (1)

Next, the sum of the first 5 days can be calculated from the given average of the first 5 days as follows:

Mean temperature of the first 5 days = 7

$Mean = \frac{sum\ of\ temperatures}{number \ of\ days}\\\\7 = \frac{sum\ of\ temperatures}{5} \\sum\ of\ temperatures\ = \ 7\ \times\ 5\ = 35\\sum\ of\ temperature\ of\ the\ first\ 5\ days\ =\ 35 - - - - - (2)$

Now, you will notice that equation (1) = equation (2)

∴ 32 + m = 35

m = 35 - 32 = 3

therefore, the temperature of the 5th day was 3°C

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A survey of 250 households showed 26 owned at least one snow blower. Find a point estimate for p, thepopulation proportion of ho

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Step-by-step explanation:

In order to find the population proportion of households that own at least one snow blower, you have to divide the number of people that said they owned at least one snow blower by the number of households surveyed:

26/250=0.104

According to this, the answer is that a point estimate for p, the population proportion of households that own at least one snow blower is 0.104.

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