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1 year ago

The sum of two integers is 67 the larger is 23 less than twice the smaller find the two integers

Mathematics

1 answer:

Alekssandra [29.7K]1 year ago

4 0

Answer:

<h2>Smaller Integer = 30</h2><h2>Larger integer = 37</h2>

Step-by-step explanation:

<h2>Conditions:</h2>

There are two integers whose value are to bee found out.
Sum of those two integers is 63.
The larger integer is 23 less than twice the smaller one.

The two integers in the given condition.

<h2>Solution:</h2>

Let,

The smaller integer be x

So, larger integer will be = 2x - 23

Given,

The sum of these two integers is = 67

∴ According to the condition,

=> x + 2x - 23 = 67

(Taking the like terms on each sides)

=> x + 2x = 23 + 67

(Adding the like terms)

=> 3x = 90

(Dividing each side with 3)

=> x = 30

Then,

The smaller integer is = x = 30

and, Larger integer is = 2x - 23 = 37

Hence,

The required smaller and larger integers are 30 and 37 respectively (Ans)

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50 pts please help me due today links or incorrect answers will get reported

Bumek [7]

Using the normal distribution, the area underneath the shaded region between the two z-scores is given by:

C. 0.6766.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

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

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

Hence, for this problem, the area is the p-value of z = 0.75 subtracted by the p-value of z = -1.3.

Looking at the z-table, the p-values are given as follows:

z = 0.75: 0.7734.

z = -1.3: 0.0968.

Then:

0.7734 - 0.0968 = 0.6766.

Which means that option C is correct.

More can be learned about the normal distribution at brainly.com/question/15181104

#SPJ1

3 0

2 years ago

A punch glass is in the shape of a hemisphere with a radius of 5 cm. If the punch is being poured into the glass so that the cha

Galina-37 [17]

Answer:

28.27 cm/s

Step-by-step explanation:

Though Process:

The punch glass (call it bowl to have a shape in mind) is in the shape of a hemisphere
the radius $r=5cm$
Punch is being poured into the bowl
The height at which the punch is increasing in the bowl is $\frac{dh}{dt} = 1.5$
the exposed area is a circle, (since the bowl is a hemisphere)
the radius of this circle can be written as $'a'$

what is being asked is the rate of change of the exposed area when the height $h = 2 cm$
the rate of change of exposed area can be written as $\frac{dA}{dt}$ .
since the exposed area is changing with respect to the height of punch. We can use the chain rule: $\frac{dA}{dt} = \frac{dA}{dh} . \frac{dh}{dt}$