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2 years ago

Please help and show work

Mathematics

1 answer:

Zigmanuir [339]2 years ago

5 0

Answer:

1. 23

2. 8

Step-by-step explanation:

1. 180-157 = 23

2. 15²+x²=(9+x)²

225 +x²=81+18x +x²

225-81=18x

144 = 18x

x = 144/18 = 8

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The table gives the relative frequencies of recipes that contains sugar and salt, contain at least one of those ingredients, or

tigry1 [53]

Answer-

The probability that a randomly selected recipe does not contain sugar, given that it contains salt is 22.4%

Solution-

The given table in the link shows the relative frequencies of recipes that contains sugar and salt, or contains at least one of those ingredients, or contains neither of those ingredients.

We have to find the conditional probability that the recipe doesn't contain sugar, given that it contains salt.

We know that, the conditional probability of occurrence of A given that B occurs is,

$P(A|B)=\frac{P(A\ and\ B)}{P(B)} =\frac{P(A\bigcap B)}{P(B)}$

$P(\text{Doesn't contain sugar}\ |\ \text{Contains salt})=\frac{P(\text{Doesn't contain sugar}\ and\ \text{Contains salt})}{P(\text{Contains salt})}$

$P(\text{Doesn't contain sugar}\ and\ \text{Contains salt})=\frac{0.15}{1} =0.15\\P(\text{Contains salt})=\frac{0.67}{1}=0.67$

Putting these values,

$P(\text{Doesn't contain sugar}\ |\ \text{Contains salt})=\frac{0.15}{0.67} =0.224=22.4\%$

5 0

3 years ago

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!

Doss [256]

Answer:

12 x 9 (12 on the top and bottom and 9 on the sides)

Step-by-step explanation:

100 km = 2 units, or 2 boxes

450 x 2/100 = 900/100 = 9

(not sure if this would help or not)

4 0

2 years ago

12.) You purchased a scooter for $6,800 when it was on sale for 30% off. What was the original price of thescooter?

Rina8888 [55]

SOLUTION:

Case: Percentages

Method:

The sale price after 30% off is $6800

Let the original price be 'x'

30% off means 70% of the original price

$\begin{gathered} \frac{70}{100}\times x=6800 \\ 0.7x=6800 \\ x=\frac{6800}{0.7} \\ x=9714.2857 \end{gathered}$

Final answer: (Nearest cents)

The original price was $9714.29

4 0

1 year ago

Jason sells computer software. He earns a base salary of $2,766.79 per month. In addition, he earns 9% of his total monthly sale

ipn [44]

Let's start with saying he earned 2766.79. He he also earns 9% of his sales.

9% of something is just .09 multiplied by that something. So if he earns 9% of 3743.37 plus the 2766.79, then we can say

y= 0.09 * 3743.37 + 2766.79
y = 3,103.69

5 0

3 years ago

Determine whether the improper integral converges or diverges, and find the value if it converges.

salantis [7]

Answer:

Integral will be diverging in nature

Step-by-step explanation:

We have given integral $\int_{5}^{\infty}\frac{3}{2}x^2dx$