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bazaltina [42]
2 years ago
10

PLEASE HELP WILL GIVE BRAINLIEST!!! Type the correct answer in each box. If necessary, use / for the fraction bar(s).

Mathematics
1 answer:
eduard2 years ago
5 0

Answer:

NEED EXAMPLE PLZ TO ANSWERS!?

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A test is worth 100 points. The test is made up of 40 items. Each item is worth either 2 points or 3 points. Which matrix equati
lidiya [134]

Answer:

Total number of points in the test = 100

Total number of items in the test = 40

Let number of items of 2 points be x and number of items of 3 points be y.

Now, using the given information the situation can be represented by using the following equations :

⇒ x + y = 40 .........(1)

⇒ 2x + 3y = 100 .........(2)

The matrix equation is :

\begin{bmatrix}1 & 1\\ 2& 3\end{bmatrix}\cdot \begin{bmatrix}x\\ y\end{bmatrix}=\begin{bmatrix}40\\ 100\end{bmatrix}

By solving the equation (1) and equation (2), we get :

Solution : x = 20 and y = 20

4 0
3 years ago
Read 2 more answers
Solve for t: d=rt. I need some help.
Elena L [17]
D = rt
/r    /r

D/r = T

*sample text*

7 0
3 years ago
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The ratio of money in Terry's bank account to Faye's bank account was 3:7. Terry then put £220 in his account and Faye withdrew
Nesterboy [21]

Answer:

£910

Step-by-step explanation:

let 3x and 7x be the initial amounts in their accounts, then after alterations

Terry has 3x + 220

Faye has 7x - 300

After these changes the amounts are equal, hence

7x - 300 = 3x + 220 ( subtract 3x from both sides )

4x - 300 = 220 ( add 300 to both sides )

4x = 520 ( divide both sides by 4 )

x = 130

Faye initially had 7 × £130 = £910 in her account


3 0
2 years ago
"A study of the amount of time it takes a mechanic to rebuild the transmission for a 2005 Chevrolet Cavalier shows that the mean
Arada [10]

Answer:

85.31% probability that their mean rebuild time exceeds 8.1 hours.

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 random variable X, with mean \mu and standard deviation \sigma, the sample means with size n of at least 30 can be approximated to a normal distribution with mean \mu and standard deviation s = \frac{\sigma}{\sqrt{n}}

In this problem, we have that:

\mu = 8.4, \sigma = 1.8, n = 40, s = \frac{1.8}{\sqrt{40}} = 0.2846

If 40 mechanics are randomly selected, find the probability that their mean rebuild time exceeds 8.1 hours.

This is 1 subtracted by the pvalue of Z when X = 8.1. So

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

By the Central Limit Theorem

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

Z = \frac{8.1 - 8.4}{0.2846}

Z = -1.05

Z = -1.05 has a pvalue of 0.1469

1 - 0.1469 = 0.8531

85.31% probability that their mean rebuild time exceeds 8.1 hours.

4 0
3 years ago
PLEASE HELP!!!!<br> will mark brainliest!!
Mariulka [41]

Answer: f(x) = x - 1

5 0
2 years ago
Read 2 more answers
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