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3 years ago

6

Ely’s team scored 62, 76, 53, and 70 points in their first four basketball games. How many points does the team need to score in

the fifth game to have an average of 70 points?

2 answers:

SVEN [57.7K]3 years ago

4 0

89 is the answer.

The average of 5 points that equal 350 is 89
The current average of 4 points that equal 261 is 65.25

Vilka [71]3 years ago

3 0

89 is the amount of points the team needs to score in the fifth game to average 70 points.

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A rectangle was altered by increasing its length by 10 percent and decreasing its width by p percent. If these alterations decre

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4 years ago

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You cut square corners from a piece of cardboard that has dimensions 32 cm by 40 cm. You then fold the cardboard to create a box

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Answer:

h = 6 cm

l = (32-2(6)) = 20 cm

w = (40-2(6)) = 28 cm

Step-by-step explanation:

Given in the question a piece of cardboard having dimensions 32 by 40

Suppose we cut square of length x

When you cut square corners from a piece of cardboard, two sides are 32-2x, and other two sides are 40-2x lengths

<h3>Step 1</h3>

Formula for the volume of box

v = height * length * width

v = x (32-2x) (40-2x)

v = 4x³ - 144x² + 1280x

<h3>Step 2</h3>

Find derivative and equal it to 0

dv/dx = 4(3)x² - (2)144x + 1280

0 = 12x² - 288x + 1280

x1 = 18.110

x2 =5.88

<h3>Step 3</h3>

Select x and plug value of x to find dimension

(32-2x) > 0

2x < 32

x < 16

so domain say that x should be less than 16 which means x = 5.88 ≈ 6 cm

h = 6 cm

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w = (40-2(6)) = 28 cm

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4 years ago

What is the average of 766 and 878

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If you would like to find the average of 766 and 878, you can calculate this using the following steps:

766 + 878 = 1644
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The correct result would be 822.

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4 years ago

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Consider the following equation

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Answer:

The negative solution is between -3 and -2

The positive solution is between 11 and 13

Step-by-step explanation:

we have

$0=x^{2} -10x-27$

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2} -10x-27=0$

so

$a=1\\b=-10\\c=-27$

substitute in the formula

$x=\frac{10(+/-)\sqrt{-10^{2}-4(1)(-27)}} {2(1)}$

$x=\frac{10(+/-)\sqrt{208}} {2}$

$x=\frac{10(+)\sqrt{208}} {2}=12.21$

$x=\frac{10(-)\sqrt{208}} {2}=-2.21$

therefore

The negative solution is between -3 and -2

The positive solution is between 11 and 13

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4 years ago

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Dullco Manufacturing claims that its alkaline batteries last at least 40 hours on average in a certain type of portable CD playe

algol13

Answer:

The value is $p- value = 0.041815$

Step-by-step explanation:

From the question we are told that

The population mean is $\mu = 40 \ hours$

The sample size is $n = 18$

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The null hypothesis is $H_o : \mu = \ge 40$

The alternative hypothesis is $H_a : \mu < 40 \ hour s$

Generally the test statistic is mathematically evaluated as

$t= \frac{\= x - \mu}{ \frac{\sigma}{ \sqrt{n} } }$

$t= \frac{37.8 - 40}{ \frac{5.4}{ \sqrt{18 } }$

$t= -1.73$

From the z - table the p-value is obtained and the value is

$p- value = P(Z < -1.73)$

$p- value = 0.041815$

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4 years ago