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2 years ago

What’s 2 1/6 - 1 5/6?

Mathematics

1 answer:

mixas84 [53]2 years ago

5 0

Answer:

2/6 or 1/3

Step-by-step explanation:

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Solve for x. 5(3x + 9) = - 135

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Answer:

x=-12

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3 years ago

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Solve the problem. Determine which of the following sets is a subspace of Pn for an appropriate value of n. A: All polynomials o

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Only $A$ and $B$ form subspaces of $P_2$ and $P_4$ , respectively.

$C$ does not form a subspace because it does not contain the zero vector.

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2 years ago

The systolic blood pressure of adults in the USA is nearly normally distributed with a mean of 122 and standard deviation of 22

marin [14]

Answer: 4.27% of adults in the USA have stage 2 high blood pressure.

Step-by-step explanation:

Let x be a random variable that denotes a person with high blood pressure .

Given: Average blood pressure: $\mu=122$

Standard deviation: $\sigma=22$

Someone qualifies as having Stage 2 high blood pressure if their systolic blood pressure is 160 or higher.

The probability that an adult in the USA have stage 2 high blood pressure:

$P(x\geq160)=P(\dfrac{x-\mu}{\sigma}}\geq\dfrac{160-122}{22})\\\\=P(z\geq1.72)\ \ \ [z=\dfrac{x-\mu}{\sigma}]\\\\=1-P(z$

Hence, 4.27% of adults in the USA have stage 2 high blood pressure.

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2 years ago

A ladder reaches a window 20 feet above the ground. The foot of the ladder is 4 feet from the wall. Which of the following measu

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Use pythagorians theorem a^2 + b^2 = c^2. 4^+20^ = 20.40 feet. The ladder is 20.40 feet long.

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2 years ago

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TotCo is developing a new deluxe baby bassinet. If the length of a newborn baby is normally distributed with a mean of 50 cm and

slavikrds [6]

Answer:

91.63 cm is the interior length of the bassinet to ensure that 99 percent of newborn babies will fit, with a safety margin of 15 cm on each end of the bassinet.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 50 cm

Standard Deviation, σ = 5 cm

We are given that the distribution of length of a newborn baby is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(X<x) = 0.99

We have to find the value of x such that the probability is 0.99

P(X < x)

$P( X < x) = P( z < \displaystyle\frac{x - 50}{5})=0.99$

Calculation the value from standard normal table, we have,

$P(z$

$\displaystyle\frac{x - 50}{5} = 2.326\\x = 61.63$

Thus, 99% of newborn babies will have a length of 61.63 cm or less.

There is a safety margin of 15 cm on each end of the bassinet

Length of bassinet =

$61+63 + 15 +15 = 91.63\text{ cm}$

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2 years ago