2+2+++++++2+ qfsdsadsfafsghsaf

Which two positive whole numbers,whose sum is 17, have the largets product?

stich3 [128]

9 and 8.

The sum equals 17 and the product of the two numbers equal 72.

7 0

3 years ago

11. Persevere in Problem Solving Emma and Tony are playing a game. Each draws a triangle

Marta_Voda [28]

Transformations in the coordinate plane maps preimage coordinate points to the coordinate points of the image

The quadrant Emma needs to translate her triangle to in order to win are; 3rd and 1st quadrants

The quadrant Tony needs to translate his image to in order to win is; 3rd quadrant

The reason the above values are correct are as follows:

The given parameter are;

The coordinates of Emma's initial triangle are; (3, 0), (-4, -2), (-2, -2)

Tony's initial triangle coordinates are; (2, 4), (2, 2), (4, 3)

The vector used on the first turn is <6, -5>, which gives;

Emma's first transformation, $T_{(6, \ -5)}$

1st quadrant (3, 0) → 4th quadrant (9, -5)

3rd quadrant (-4, -2) → 4th quadrant (2, -7)

3rd quadrant (-2, -2) → 4th quadrant (4, -5)

Tony's first transformation, $T_{(6, \ -5)}$

1st quadrant (2, 4) → 4th quadrant (8, -1)

1st quadrant (2, 2) → 4th quadrant (8, -3)

1st quadrant (4, 3) → 4th quadrant (10, -2)

Emma's second transformation, $T_{(-10, \ 8)}$

4th quadrant (9, -5) → 2nd quadrant (-1, 3)

4th quadrant (2, -7) → 2nd quadrant (-8, 1)

4th quadrant (4, -5) → 2nd quadrant (-6, 3)

Tony's second transformation, $T_{(-10, \ 8)}$

4th quadrant (8, -1) → 2nd quadrant (-2, 7)

4th quadrant (8, -3) → 2nd quadrant (-2, 5)

4th quadrant (10, -2) → 1st quadrant (0, 6)

From the above translation transformations, Emma has drawn an image in the 4th and 2nd quadrant, and would needs to draw an image in the 3rd and 1st quadrant 

Similarly, from the above values, Tony has drawn an image in the 4th quadrant, 2nd quadrant and 1st quadrant, therefore Tony needs to translate to only the 3rd quadrant in order to win

Learn more about transformations in the coordinate plane here:

brainly.com/question/12187315

8 0

3 years ago

A very large batch of parts (assume a normal distrbution0 from a manufacturer has a mean weight = 43g and a standard deviation =

AVprozaik [17]

Answer:

5.44% probability that exactly 8 of the 16 parts you selected will have weights exceeding 45g

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Binomial probability distribution:

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

In which $C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And p is the probability of X happening.

Percentage of parts with weights exceeding 45g?

1 subtracted by the pvalue of Z when X = 45. So

We have $\mu = 43, \sigma = 4$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{45 - 43}{4}$

$Z = 0.5$

$Z = 0.5$ has a pvalue of 0.6915

1 - 0.6915 = 0.3075

If you slect 16 parts at random form that batch, what is the probability that exactly 8 of the 16 parts you selected will have weights exceeding 45g?

This is P(X = 8) when n = 16, p = 0.3075. So

$P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}$

$P(X = 8) = C_{16,8}.(0.3075)^{8}.(0.6915)^{8} = 0.0544$

5.44% probability that exactly 8 of the 16 parts you selected will have weights exceeding 45g

4 0

3 years ago

a tabletop in the shape of a trapezoid has area an of 6,550 square centimeters. Its longer base measures 115 centimeters, and th

77julia77 [94]

To find the missing dimension of the tabletop, the height, you will use the formula for finding the area of a trapezoid and solve for the missing height.

A = 1/2 h (b1 + b2)
6550 = 1/2 h (115 + 85)
6550 = 1/2 h (200)
6550 = 100h
100 100

655 = h

The height is 655 cm.

3 0

3 years ago

Read 2 more answers

The rational expression fraction numerator x squared plus 6 x minus 7 over denominator x squared plus 9 x plus 14 end fraction s

Thepotemich [5.8K]

The simplification of rational expression (x²+6x-7)/(x²+9x+14) gives

(x-1)/(x+2).

<h3>What is factorisation?</h3>

A polynomial or integer is simply resolved into components that, when multiplied together, produce the original or starting polynomial or integer.

The factorization method allows us to simplify any algebraic and quadratic equation by representing the equations as that of the product or factors rather than by expanding the brackets.

Any equation can have an integer, a variable, or the algebraic expression itself as a factor.

The given expression is -

= (x²+6x-7)/(x²+9x+14)

Factorising both numerator and denominator;

= {x+7x-x-7} / {x+7x+2x+14}

= {x(x+7)-(x+7)} / {x(x+7)+2(x+7)}

= {(x+7)(x-1)} / {(x+7)(x+2)}

Cancel the (x+7),

= (x-1)/(x+2)

Therefore, the simplification of the given equation is (x-1)/(x+2).

To know more about factorisation, here

brainly.com/question/11579257

#SPJ4

7 0

2 years ago