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3 years ago

7

Katie is in charge of buying juice for the teacher;s breakfast party if one teacher will drink between 18 and 22 ounces of juice

and there are 32 teachers which is the best estimate for the amount of juice katie should buy?

1 answer:

brilliants [131]3 years ago

5 0

So on average 20 ounces is drank per teacher so 20 ounces x 32 teachers = 640

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The store currently has seven rackets of each version. What is the probability that all of the next ten customers who want this

Mila [183]

The probability that all of the next ten customers who want this racket can get the version they want from current stock is 0.821

<h3>How to solve?</h3>

Given: currently has seven rackets of each version.

Then the probability that the next ten customers get the racket they want is P(3≤X≤7)

<h3>Why P(3≤X≤7)?</h3>

Note that If less than 3 customers want the oversize, then more than 7 want the midsize and someone's going to miss out.

X ~ Binomial (n = 10, p = 0.6)

P(3≤X≤7) = P(X≤7) - P(X≤2)

From Binomial Table:

= 0.8333 - 0.012

= 0.821

To learn more about Probability visit :

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2 years ago

Write an expression that represents n plus 7 multiplied by 3.

diamong [38]

The <span>expression that represents n plus 7 multiplied by 3 is
(n + 7)(3)
The entire expression, (n + 7) is multiplied by 3 since it would be inconvenient to state the expression as given above if what is meant was
(n + 7x3). It would have simply been n plus 21.</span>

7 0

3 years ago

Read 2 more answers

Please help with this math problem for trig. A 6 m ladder is leaning against a wall. The base of the ladder is 1.5 m from the wa

VladimirAG [237]

Answer:

a = 5.81 m

Step-by-step explanation:

We can use the Pythagorean theorem

a^2 + b^2 = c^2

where b= 1.5 and c= 6

a^2 +1.5^2 = 6^2

a^2 +2.25 = 36

Subtract 2.25 from each side

a^2 +2.25-2.25 = 36-2.25

a^2 = 33.75

Take the square root of each side

sqrt(a^2) = sqrt(33.75)

a = 5.809475019

We only take the positive root because length must be positive

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3 years ago

Prove that the segments joining the midpoint of consecutive sides of an isosceles trapezoid form a rhombus.

sergiy2304 [10]

Answer:

See explanation

Step-by-step explanation:

a) To prove that DEFG is a rhombus, it is sufficient to prove that:

All the sides of the rhombus are congruent: $|DG|\cong |GF| \cong |EF| \cong |DE|$
The diagonals are perpendicular

Using the distance formula; $d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

$|DG|=\sqrt{(0-(-a-b))^2+(0-c)^2}$

$\implies |DG|=\sqrt{a^2+b^2+c^2+2ab}$

$|GF|=\sqrt{((a+b)-0)^2+(c-0)^2}$

$\implies |GF|=\sqrt{a^2+b^2+c^2+2ab}$

$|EF|=\sqrt{((a+b)-0)^2+(c-2c)^2}$

$\implies |EF|=\sqrt{a^2+b^2+c^2+2ab}$

$|DE|=\sqrt{(0-(-a-b))^2+(2c-c)^2}$

$\implies |DE|=\sqrt{a^2+b^2+c^2+2ab}$

Using the slope formula; $m=\frac{y_2-y_1}{x_2-x_1}$

The slope of EG is $m_{EG}=\frac{2c-0}{0-0}$

$\implies m_{EG}=\frac{2c}{0}$

The slope of EG is undefined hence it is a vertical line.

The slope of DF is $m_{DF}=\frac{c-c}{a+b-(-a-b)}$

$\implies m_{DF}=\frac{0}{2a+2b)}=0$

The slope of DF is zero, hence it is a horizontal line.

A horizontal line meets a vertical line at 90 degrees.

Conclusion:

Since $|DG|\cong |GF| \cong |EF| \cong |DE|$ and $DF \perp FG$ , DEFG is a rhombus

b) Using the slope formula:

The slope of DE is $m_{DE}=\frac{2c-c}{0-(-a-b)}$

$m_{DE}=\frac{c}{a+b)}$

The slope of FG is $m_{FG}=\frac{c-0}{a+b-0}$

$\implies m_{FG}=\frac{c}{a+b}$

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3 years ago

What is 795,431 rounded to the nearest ten thousand?

nadya68 [22]

I’m pretty sure the answer would be A because the 5 makes the 9 round up to ten and then the 7 becomes an 8.

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3 years ago