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Arturiano [62]
3 years ago
7

Hello! :)

Mathematics
2 answers:
zlopas [31]3 years ago
7 0

Answer:

A

Step-by-step explanation:

The two triangles are congruent because if each triangle's angles add up 180 degrees, you can deduce that the triangles have atleast two congruent angles.

Triangle RST:

48 + 73 = 121

180 - 121 = 59

Angle R = 59

Angle T = 48

Angle S = 73

59 + 48 + 73 = 180

Triangle ABC:

73 + 59 = 132

180 - 132 = 48

Angle A = 59

Angle B = 73

Angle C = 48

59 + 48 + 73 = 180

Alja [10]3 years ago
4 0
The correct answer would be A
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A particular fruit's weights are normally distributed, with a mean of 733 grams and a standard deviation of 9 grams. The heavies
RoseWind [281]

Answer:

The heaviest 5% of fruits weigh more than 747.81 grams.

Step-by-step explanation:

We are given that a particular fruit's weights are normally distributed, with a mean of 733 grams and a standard deviation of 9 grams.

Let X = <u><em>weights of the fruits</em></u>

The z-score probability distribution for the normal distribution is given by;

                              Z  =  \frac{X-\mu}{\sigma}  ~ N(0,1)

where, \mu = population mean weight = 733 grams

            \sigma = standard deviation = 9 grams

Now, we have to find that heaviest 5% of fruits weigh more than how many grams, that means;

                    P(X > x) = 0.05       {where x is the required weight}

                    P( \frac{X-\mu}{\sigma} > \frac{x-733}{9} ) = 0.05

                    P(Z > \frac{x-733}{9} ) = 0.05

In the z table the critical value of z that represents the top 5% of the area is given as 1.645, that means;

                               \frac{x-733}{9}=1.645

                              {x-733}}=1.645\times 9

                              x = 733 + 14.81

                              x = 747.81 grams

Hence, the heaviest 5% of fruits weigh more than 747.81 grams.

8 0
3 years ago
Bananas are 5 for 79 cents . Isaiah bought 7 bananas. How many did Isaiah spend?
Margarita [4]
C it’s always c. When in doubt always chose c
7 0
3 years ago
Write an equation of the line in slope-intercept form. JY 1 (3, 3) (0, 2) 2 4<br>y=​
stellarik [79]

Correct answer: y = \frac{1}{3}x + 2

To find out the slope, you would need to remember this slope formula: \frac{y_{2}-y_{1}}{x_{2}-x_{1}}. We can use the two points provided on the graph to figure out the slope. We can label (3, 3) as x_{1} and y_{1}, and (0, 2) as x_{2} and y_{2}. Now we can plug these numbers into the slope formula to find out the slope:

m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} → \frac{2-3}{0-3} → \frac{-1}{-3} → \frac{1}{3}

To find out the y-intercept, just substitute (3, 3) into the slope-intercept<em> </em>formula ( <em>y = mx + b</em> ) with the slope that is substituted for '<em>m</em>' that we already solved earlier.

y = mx + b

(3) = \frac{1}{3}(3) + b

3 = 1 + b

2 = b

You can also prove this true by looking at the graph provided. The line intersects at the y-axis at 2.

Now we know that m = \frac{1}{3} and b = 2, we can substitute it into the slope-intercept formula. Thus, the answer is y = \frac{1}{3}x + 2.

Hope this helps you! Let me know if you have any more questions related to this problem.

3 0
3 years ago
Katy spent $2834 on a washing machine and a dryer. The dryer cost $875 less than the washing machine. How much did the dryer cos
Tasya [4]

Answer:

the answer is 1959

Step-by-step explanation:

2834-875=1959

3 0
3 years ago
Can someone please help me.
vampirchik [111]
Because it is a square all sides are equal so all sides are 20.25 because half of 81 is 40.5 and half of that is 20.25.
5 0
4 years ago
Read 2 more answers
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