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3 years ago

Fill in the blanks please

Mathematics

1 answer:

ycow [4]3 years ago

6 0

Answer:

Step-by-step explanation:

MNOP is a parallelogram Given

PM // ON opposite sides of parallelogram are parallel

∠ NOM = ∠ONP Alternate angles theorem

MN // OP opposite sides of parallelogram are parallel

∠NOP =∠ MNO Alternate angles theorem

ON = ON common to both triangles ΔOMN & ΔONP

ΔOMN ≅ ΔONP ASA congruent

PM ≅ ON CPCT -Corresponding Part of Congruent triangle

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Here is an equation: x + 4 = 17<br> Draw a tape diagram to represent the equation.

dimaraw [331]

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3 years ago

I roll a fair die twice and obtain two numbers X1= result of the first roll and X2= result of the second roll. Given that I know

azamat

By definition of conditional probability,

$P(X_1=4\text{ or }X_2=4\mid X_1+X_2=7)=\dfrac{P((X_1=4\text{ or }X_2=4)\text{ and }X_1+X_2=7)}{P(X_1+X_2=7)}$

$=\dfrac{P((X_1=4\text{ and }X_1+X_2=7)\text{ or }(X_2=4\text{ and }X_1+X_2=7))}{P(X_1+X_2=7)}$

Assuming a standard 6-sided fair die,

if $X_1=4$ , then $X_1+X_2=7$ means $X_2=3$ ; otherwise,
if $X_2=4$ , then $X_1=3$ .

Both outcomes are mutually exclusive with probability $\frac1{36}$ each, hence total probability $\frac2{36}=\frac1{18}$ .

Of the 36 possible outcomes, there are 6 ways to sum the integers 1-6 to get 7:

(1, 6), (2, 5), (3, 4), (4, 3), (5, 2), (6, 1)

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Then the probability we want is

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kakasveta [241]

Answer:

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3 years ago

Amber has a $100 Gift Card to her favorite Coffee Shop. Each time she visits the Coffee Shop, she will use the gift card to purc

AlladinOne [14]

Complete question is;

Amber has a $100 Gift Card to her favorite Coffee Shop. Each time she visits the Coffee Shop, she will use the gift card to purchase a $5.00 daily coffee.

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Answer:

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Step-by-step explanation:

We are told that she has a $100 Gift Card to her favorite Coffee Shop.

Also that she will use the gift card to purchase a $5.00 daily coffee.

Thus means that she spends $5.00 daily from the gift card.

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