If |2x-11 <0, then the value of x is<br>(A) 0<br>(B) -1/2<br>(C) 1<br>(D) 1/2

If BCD ~ GEF, find BD

Tju [1.3M]

Answer:

BD= 19

Step-by-step explanation:

4 0

3 years ago

Winston drove 70 mph. If he drives for 3.5 hours how many miles will Winston drive?

Fofino [41]

This problem can be solved using two equations:
The first represents the total trip, which is the miles driven in the morning added to those in the afternoon. Let's call the hours driven in the morning X and the hours driven in the afternoon Y. We get: X + Y = 248.
The second equation relates the miles driven in the morning compared to the afternoon. Since 70 fewer miles were driven in the morning than the afternoon, then X = Y - 70.
Now substitute the equation for morning hours (equation 2) into the total miles equation (equation 1). We get:
(Y - 70) + Y = 248
2Y - 70 = 248
2Y = 318
Y = 159
We know that Winston drove 159 miles in the afternoon.

To find the morning hours, just substitute 159 into the equation for morning hours (equation 2)
X = 159 - 70
X = 89
We now know that Winston drove 89 miles in the morning.

We can check our work by plugging both distances into the total distance equation: 89 + 159 = 248

7 0

2 years ago

Which of the following are true? Select one or more:

melamori03 [73]

Answer:

(c) The t-distribution is bell shaped

(e) The t-distribution has more values at the extremes than a standard normal distribution

(f) The t-distribution is centered at 0

Step-by-step explanation:

When the sample size is small or population variance is unknown, and we have to estimate population parameter then t- probability distribution is used.

The t-distribution has properties as follows:

The mean of t-distribution is 0. Thus, option (f) is correct.
t-distribution is normal. Thus, option (c) is correct.
As compare to standard normal distribution, t-distribution has more values at the extremes. Thus, option (e) is correct.

6 0

3 years ago

Which of the following is a terminating decimal? Question 1 options:

Juli2301 [7.4K]

The answer for your question is c

6 0

3 years ago

A half-century ago, the mean height of women in a particular country in their 20s was 62.1 inches. Assume that the heights of

Luba_88 [7]

Answer:

About 1.16% of all samples have mean heights of at least 63.42 inches.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central limit theorem:

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$