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bearhunter [10]
2 years ago
5

Describe how you regroup when you find the sum of 64+43

Mathematics
1 answer:
damaskus [11]2 years ago
5 0
Here, regrouping is basically carrying. 

64+43 shown vertically would be:

  64
+43
-------
 107
4+3 is 7, so seven is in the ones place, but that's not the point.
60+40 is 100, so you regroup by carrying the one to the hundreds place.

Hope I helped!

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If quadrilateral PQRS is a rectangle, then which of the following is true?
brilliants [131]

∠STP ≅ ∠QTR is the True statement ⇒ answer C

Step-by-step explanation:

In any rectangle

1. Each two opposite sides are equal and parallel

2. The measure of its vertex angles is 90°

3. The two diagonals are equal

Now lets find the true statements

∵ PQRS is a rectangle

∴ PS = QR ⇒ opposite sides

∴ PQ = SR ⇒ opposite sides

∴ PR = QS ⇒ diagonals

A.  ∠PSQ ≅ ∠QSR

∵ The diagonals of the rectangle do not bisect the vertex angles

∴ AQ does not bisect angle S

∴  m∠PSQ ≠ m∠QSR

∴  ∠PSQ not congruent ∠QSR

∠PSQ ≅ ∠QSR ⇒ False

B. segment SR ≅ segment RQ

∵ SR and RQ are two adjacent sides

∵ The adjacent side in the rectangle not equal

∴ SR ≠ QR

∴ segment SR not congruent to segment RQ

segment SR ≅ segment RQ ⇒ False

C. ∠STP ≅ ∠QTR

∵ PR intersects QS at point T

∴ m∠STP = m∠QTR ⇒ vertically opposite angles

∴ ∠STP ≅ ∠QTR

∠STP ≅ ∠QTR ⇒ True

D. segment PS ≅ segment PR

∵ PS is a side in the rectangle

∵ PR is a diagonal in the rectangle

∵ The side of the rectangle not equal the diagonal of the rectangle

∴ PS ≠ PR

∴ segment PS not congruent to segment PR

segment PS ≅ segment PR ⇒ False

∠STP ≅ ∠QTR is the True statement

Learn more:

You can learn more about rectangle in brainly.com/question/6594923

#LearnwithBrainly

8 0
2 years ago
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Casey deposited $1,450 in a bank account with an interest rate of 4% How much simple interest was earned in two years? Is the an
pantera1 [17]

Answer:

The simple interest was earned is $116

Yes; the answer is $116

Step-by-step explanation:

- The rule of the simple interest is:

→ <em>I = P r t</em>, where I is the interest, P is the money invested, r is the rate

of interest in decimal, and t is the time of investment

- Casey deposited $1,450 in a bank account with an interest rate of 4%

- We need to find the amount of interest Casey earned in two years

- The interest is simple

∵ P = $1450

∵ r = 4% = 4/100 = 0.04

∵ t = 2 years

∵ The interest is simple

∴ <em>I = Prt</em>

- Substitute the values of P , r , t in the rule

∴ I = 1450 × 0.04 × 2 = 116

∴ <em>The simple interest was earned is $116</em>

* <em>Yes; the answer is $116</em>

7 0
2 years ago
Which function has a range of y &lt; 3?
Setler79 [48]

Using a graphing tool

Let's graph each of the cases to determine the solution of the problem

<u>case A)</u> y=3(2^{x})  

see the attached figure N 1

The range is the interval--------> (0,∞)

y> 0

therefore

the function y=3(2^{x}) is not the solution

<u>case B)</u> y=2(3^{x})

see the attached figure N 2  

The range is the interval--------> (0,∞)

y> 0

therefore

the function y=2(3^{x}) is not the solution

<u>case C)</u> y=-2^{x}+3  

see the attached figure N 3    

The range is the interval--------> (-∞,3)  

y< 3

therefore

the function   y=-2^{x}+3    is the solution

<u>case D)</u> y=2^{x}-3  

see the attached figure N 4  

The range is the interval--------> (-3,∞)  

y>-3

therefore

the functiony=2^{x}-3 is not the solution

<u>the answer is</u>

y=-2^{x}+3

5 0
2 years ago
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math help ! Will give branliest !! At a car and truck dealership, the probability that a vehicle is white is 0.25 . The probabil
defon

Answer:

As per the statement:

Let  Event A represents the probability that a vehicle is white and Event B  represents the probability that it is a pick up truck .

then;

P(A) = 0.25 and P(B) = 0.15

It is also given that:

The Probability that it is a white pick up truck is 0.06.

⇒P(A \cap B) = 0.06 where A \cap B represents that it is white pick up truck.

We have to find the the probability that the vehicle is white {given that the vehicle is a pickup truck}

We use the formula:

P(A/B) = \frac{P(A \cap B)}{P(B)}

where

A/B represents that the pick up truck vehicle is white.

Substitute the given values we get;

P(A/B) = \frac{0.06}{0.15} = 0.4

Therefore,  the probability that the vehicle is white, given that the vehicle is a pickup truck is 0.4

7 0
1 year ago
Tesla wanted to determine the average miles per kWh that their vehicles get across all models and variations. They took a sample
LiRa [457]

Answer:

\mu_{\bar x} = \mu = E(X) =30KWh

\sigma_{\bar X}= \frac{\sigma}{\sqrt{n}}=\frac{3}{\sqrt{100}}=0.3

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

The central limit theorem states that "if we have a population with mean μ and standard deviation σ and take sufficiently large random samples from the population with replacement, then the distribution of the sample means will be approximately normally distributed. This will hold true regardless of whether the source population is normal or skewed, provided the sample size is sufficiently large".

Solution to the problem

For this case we select a sample of n =100

From the central limit theorem we know that the distribution for the sample mean \bar X is given by:

\bar X \sim N(\mu, \frac{\sigma}{\sqrt{n}})

So then the sample mean would be:

\mu_{\bar x} = \mu = E(X) =30KWh

And the standard deviation would be:

\sigma_{\bar X}= \frac{\sigma}{\sqrt{n}}=\frac{3}{\sqrt{100}}=0.3

6 0
1 year ago
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