A square has an area that is less than 100 m. What is a reasonable range for the graph of the

When ordering a sundae, you may choose three toppings from their list of 10 available. Assuming that your chosen toppings must b

Nastasia [14]

Answer:

there are 120 different sundaes with three toppings you can order.

Step-by-step explanation:

If the chosen toppings must be different, then that means it's a Combination where the order doesn't matter (as long as they're all different).

Equation: 10C3

Forming Equation: 10!/(10-3)!*3!=10*9*8*7!/7!*3!=10*9*8/6=720/6=120

Therefore, there are 120 different sundaes with three toppings you can order.

8 0

4 years ago

Below are the data collected from two random samples of 500 American students on the number of hours they spend in school per da

balu736 [363]

Answer: Tara thinks correctly.

Step-by-step explanation:

Let's calculate the average value in sample A:

(4 × 70 + 5 × 100 + 6 × 125 + 7 × 135 + 8 × 70) ÷ 500 = 6,07 ≈ 6 hours

Let's calculate the average value in sample B:

(4 × 80 + 5 × 90 + 6 × 120 + 7 × 125 + 8 × 85) ÷ 500 = 6,09 ≈ 6 hours

So, Tara is correct in saying that the mean is 6.

3 0

3 years ago

151. Find the perimeter of this triangle

Lena [83]

The perimeter is the sum of all the sides of the figure⇒

151

$P=a+b+c+d...$

$P=(y+9)+(3y+3)+(4y+6)=y+9+3y+3+4y+6=8y+18$

152

$P=a+b+c+d...\\P=(4a-100)+(2a-15)+(2a+40)=4a-100+2a-15+2a+40=\\=8a-75$

153

You forgot to attach a photo

6 0

3 years ago

As notas de dois alunos X e Y estão representadas no quadro abaixo. Por meio da variância, qual deles apresentou ser o mais regu

Reil [10]

Answer:

Aluno X

Step-by-step explanation:

A nota média para os alunos X e Y são, respectivamente:

$X_m=\frac{5+3+5+7}{4}=5 \\Y_m=\frac{4+9+4+3}{4}=5$

A variância é definida pela seguinte expressão:

$V=\frac{\sum(X_i-X_m)^2}{n-1}$

Onde n é o numero de termos, neste caso, n = 4.

As variâncias para cada aluno são:

$V_x=\frac{(5-5)^2+(3-5)^2+(5-5)^2+(7-5)^2}{4-1} \\V_x= 2.7\\V_y=\frac{(4-5)^2+(9-5)^2+(4-5)^2+(3-5)^2}{4-1} \\V_y= 7.3$

O aluno X apresentou uma variância menor do que o aluno Y em suas notas e, portanto, apresentou ser o mais regular.

6 0

3 years ago

Patel made a deposit into an account that earns 5%simple interest. After 10 years Patel had earned $1500 in interest. How much w

Delicious77 [7]

$\bf ~~~~~~ \textit{Simple Interest Earned}\\\\
I = Prt\qquad 
\begin{cases}
I=\textit{interest earned}\to &\$1500\\
P=\textit{original amount deposited}\\
r=rate\to 5\%\to \frac{5}{100}\to &0.05\\
t=years\to &10
\end{cases}
\\\\\\
1500=P(0.05)(10)\implies \cfrac{1500}{(0.05)(10)}=P$

7 0

3 years ago