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3 years ago

Help please. . PT= x+2, TR=y, QT+2x, TS=y .

Mathematics

1 answer:

Brut [27]3 years ago

4 0

This is a trial and error answer.

Suppose that QT = -3, then

x + 2 = y

2x = y + 3

Apply substitution,

2x = (x+2) + 3

2x = x + 5

x = 5

y = 7

chek your answer,

x + 2 = y

5 + 2 = 7

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The answer to this question is b

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3 years ago

Read 2 more answers

Use technology or a z-score table to answer the question.

Alik [6]

Answer:

The second choice: Approximately $65.2\%$ of the pretzel bags here will contain between 225 and 245 pretzels.

Step-by-step explanation:

This explanation uses a z-score table where each $z$ entry has two decimal places.

Let $\mu$ represent the mean of a normal distribution of variable $X$ . Let $\sigma$ be the standard deviation of the distribution. The z-score for the observation $x$ would be:

$\displaystyle z = \frac{x - \mu}{\sigma}$ .

In this question,

$\mu = 240$ .
$\sigma = 9.3$ .

Calculate the z-score for $x_1 = 225$ and $x_2 = 245$ . Keep in mind that each entry in the z-score table here has two decimal places. Hence, round the results below so that each contains at least two decimal places.

$\begin{aligned} z_1 &= \frac{x_1 - \mu}{\sigma} \\ &= \frac{225 - 240}{9.3} \approx -1.61\end{aligned}$ .

$\begin{aligned} z_2 &= \frac{x_2 - \mu}{\sigma} \\ &= \frac{245 - 240}{9.3} \approx 0.54\end{aligned}$ .

The question is asking for the probability $P(225 \le X \le 245)$ (where $X$ is between two values.) In this case, that's the same as $P(-1.61 \le Z \le 0.54)$ .

Keep in mind that the probabilities on many z-table correspond to probability of $P(Z \le z)$ (where $Z$ is no greater than one value.) Therefore, apply the identity $P(z_1 \le Z \le z_2) = P(Z \le z_2) - P(Z \le z_1)$ to rewrite $P(-1.61 \le Z \le 0.54)$ as the difference between two probabilities:

$P(-1.61 \le Z \le 0.54) = P(Z \le 0.54) - P(Z \le -1.61)$ .

Look up the z-table for $P(Z \le 0.54)$ and $P(Z \le -1.61)$ :

$P(Z \le 0.54)\approx 0.70540$ .
$P(Z \le -1.61) \approx 0.05370$ .

$\begin{aligned}& P(225 \le X \le 245) \\ &= P\left(\frac{225 - 240}{9.3} \le Z \le \frac{245 - 240}{9.3}\right)\\&\approx P(-1.61 \le Z \le 0.54) \\ &= P(Z \le 0.54) - P(Z \le -1.61)\\ &\approx 0.70540 - 0.05370 \\& \approx 0.65.2 \\ &= 65.2\% \end{aligned}$ .

3 0

4 years ago

Given BAI BD mZCBD = 40 +52 m ABC = 82 - 10° Find mZCBD: B D

sergij07 [2.7K]

Answer:

m∠CBD=68°

Step-by-step explanation:

BA is perpendicular to BD, meaning they form a right angle (90°)

This means m∠CBD + m∠ABC=90, or they are supplementary.

We have expressions given for these angles, so

4x+52+8x-10=90

12x+42=90

12x=48

x=4

Knowing x=4, we can substitute back into our expression for m∠CBD because that's what we're looking for.

4(4)+52=68

m∠CBD is 68°.

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3 years ago

A library had 570 books when it first opened. A year later, the number of books increased by 30%. How many books were there in t

s344n2d4d5 [400]

Answer: There were 741 books in the library a year later.

Step-by-step explanation:

Given: Total books in library = 570

Number of books increased by 30%.

One year later, Number of books in the library = (Total books in library) + 30% x (Total books in library)

= 570 + (0.30) x (570)

= 570 (1+0.30)

= 570 (1.30)

= 741

Hence, there were 741 books in the library a year later.

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3 years ago

What is the value of x

masha68 [24]

42...But try to get another answer though because I’m not 100 percent correct

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3 years ago