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Ganezh [65]
2 years ago
12

Directions: Study the thermometers and answer these questions.

Mathematics
2 answers:
Rus_ich [418]2 years ago
7 0
I can not see the thermometer
Soloha48 [4]2 years ago
4 0

Answer:

1. F:32   C:0

2. F:212   C:100

3.  F:70     C:30

4.   F: 97    C: 36.5

Step-by-step explanation:

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Someone help me asap please.
zaharov [31]

15. x ≤ -24

    x + 19 ≤ -5

    x ≤ -24

16. z > -12

    3z > -36

    z > -12

17. 185 + c > 410; c > 225


18.   C.

    x - 6 ≥ 1

    x ≥ 7

7 0
3 years ago
Hello please help will give brainliest!
jeka57 [31]
The answer is A. because the first part shows the ratio 3:2 and the other 2 shows equivalent ratios.
8 0
3 years ago
A sample size 25 is picked up at random from a population which is normally
Margarita [4]

Answer:

a) P(X < 99) = 0.2033.

b) P(98 < X < 100) = 0.4525

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 normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, 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.

Mean of 100 and variance of 36.

This means that \mu = 100, \sigma = \sqrt{36} = 6

Sample of 25:

This means that n = 25, s = \frac{6}{\sqrt{25}} = 1.2

(a) P(X<99)

This is the pvalue of Z when X = 99. So

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

By the Central Limit Theorem

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

Z = \frac{99 - 100}{1.2}

Z = -0.83

Z = -0.83 has a pvalue of 0.2033. So

P(X < 99) = 0.2033.

b) P(98 < X < 100)

This is the pvalue of Z when X = 100 subtracted by the pvalue of Z when X = 98. So

X = 100

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

Z = \frac{100 - 100}{1.2}

Z = 0

Z = 0 has a pvalue of 0.5

X = 98

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

Z = \frac{98 - 100}{1.2}

Z = -1.67

Z = -1.67 has a pvalue of 0.0475

0.5 - 0.0475 = 0.4525

So

P(98 < X < 100) = 0.4525

6 0
2 years ago
Dave receives a salary of $200 a week plus a commission of 10% of his weekly sales. An equation y = m x + b represents Dave’s we
vovangra [49]

Answer:

y = 0.1x+200

Step-by-step explanation:

First, let's establish that:

x is independent

y is dependent

Basically, the value of y will depend on what x is.

The problem states that the slope of the line is Dave's comission, so since he makes 10% of comission, we can make the slope as 0.1x (mx)

The problem also states that the y intercept (b) is Dave's base salary, and earlier in the problem it states that his base salary is $200 a week. Therefore, b=200

now, the equation is:

y=0.1x+200

Hope this helps!

4 0
3 years ago
Pls need help<br> Also making this 10 points so i have 169 points left B)
mixas84 [53]

Answer:

Second and fourth

Step-by-step explanation:

A line is in point-slope form when you write down as y-y_0=m(x-x_0) - do not be distracted by the signs, +1 and +5 can both be written as -(-1) or -(-5) rispectively.

5 0
2 years ago
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