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Mekhanik [1.2K]
3 years ago
5

Find is the value of x.*

Mathematics
1 answer:
Setler79 [48]3 years ago
6 0

Answer:

x=4

Step-by-step explanation:

3x=5x-8

3x-5x= -8

-2x= -8

x= -8÷-2

x=4

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Find the number that makes the ratio equivalent to 2:6.<br><br> 8:
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A ratio is used to describe how two or more quantities are related. For example, we might say that a fruit drink calls for sugar crystals to be mixed with water in a ratio of 2:6. This means that for every 2 scoops sugar crystals, there will need to be 6 ounces of water. If there were 200 scoops of sugar crystals, there would need to be 600 ounces of water.
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3 years ago
5. How many real number solutions does the equation have?
sukhopar [10]

Answer:

two solutions

Step-by-step explanation:

it's a square equations and has two answers

5 0
3 years ago
What is 12 1/2% as a fraction in simplest form
LUCKY_DIMON [66]

Answer:

25/2 I believe

Step-by-step explanation:

4 0
3 years ago
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[find the area please explain steps]​
RSB [31]

Length of base of the top triangle = 23 inches

Length of height of the top triangle = 47 inches

Area of the top triangle :

=  \frac{1}{2}   \: \times \:  base  \: \times \:  height

=  \frac{1}{2}  \times 23 \times 47

=  \frac{1}{2}  \times 1081

=  \frac{1081}{2}

= \color{hotpink} \: 540.5 \: \:sq.  inches \:

Thus, area of the top triangle = 540.5 sq.inches

Length of base of the bottom triangle = 47 inches

Length of height of the bottom triangle = 46 inches

Area of the bottom triangle :

=  \frac{1}{2}   \: \times  \: base \:  \times height

=  \frac{1}{2}  \times 47 \times 46

=  \frac{1}{2}  \times 2162

= \color{hotpink}1081 \:sq. inches

Area of the bottom triangle = 1081 sq.inches

Area of the total figure :

= Area of top triangle + Area of bottom triangle

= 540.5 + 1081

= \color{hotpink}\bold{1621.5 \:  \:  sq.inches}

Therefore, the area of the figure = 1621.5 sq.inches

4 0
3 years ago
Suppose that the distribution for total amounts spent by students vacationing for a week in Florida is normally distributed with
Charra [1.4K]

Answer:

96.24% probability that a SRS of 25 students will spend an average of between 600 and 700 dollars

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 sampling distribution of the sample means with size n can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}.

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

In this problem, we have that:

\mu = 650, \sigma = 120, n = 25, s = \frac{120}{\sqrt{25}} = 24

What is the probability that a SRS of 25 students will spend an average of between 600 and 700 dollars

This is the pvalue of Z when X = 700 subtracted by the pvalue of Z when X = 600. So

X = 700

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

By the Central Limit Theorem

Z = \frac{X - \mu}{s}

Z = \frac{700 - 650}{24}

Z = 2.08

Z = 2.08 has a pvalue of 0.9812

X = 600

Z = \frac{X - \mu}{s}

Z = \frac{600 - 650}{24}

Z = -2.08

Z = -2.08 has a pvalue of 0.0188

0.9812 - 0.0188 = 0.9624

96.24% probability that a SRS of 25 students will spend an average of between 600 and 700 dollars

6 0
3 years ago
Read 2 more answers
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