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1 year ago

Which angle do ΔEBC and ΔADC share?

Mathematics

1 answer:

BARSIC [14]1 year ago

6 0

Answer:

The angle in C

Step-by-step explanation:

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Which two fractions have a sum of - 7/24

Feliz [49]

The two fractions that added together give you a sum of -7/24 are 1/24+-8/24= -7/24

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3 years ago

Find the rule and the graph of the function whose graph can be obtained by performing the translation 3 units left and 2 units d

Vsevolod [243]

Let

g(x)--------> the translation of the function f(x)

we know that

the rule of the translation is

$3$ units left and $2$ units down

that means

$(x,y)-------> (x-3,y-2)$

In the function f(x) the point $(0,0)$ is equal at the point $(-3,-2)$ in the function g(x)

therefore

the function g(x) is equal to

$g(x)=f(x+3)-2$

$g(x)=(x+3)^{3} -2$

<u>The answer is</u>

a) the rule of the translation is $(x,y)-------> (x-3,y-2)$

b) The graph in the attached figure

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2 years ago

Mr smiths loan balance has decreased by 71.4%. Calculate the change in his loan balance

nikklg [1K]

Can you write the full question

4 0

2 years ago

Miriam makes 214 gallons of punch for a school event. How many 4‐ounce servings of punch can she serve ?

yawa3891 [41]

Convert gallons to ounces
There 128 ounces in 1 gallon
So you would multiply
(214gal)*(128oz/1gal)=27392 ounces

27392oz / 4 oz = 6848 cups

5 0

2 years ago

Customers arrive at a grocery store at an average of 2.1 per minute. Assume that the number of arrivals in a minute follows the

Black_prince [1.1K]

Answer:

a) P(2)=0.270

b) P(X>3)=0.605

c) P=0.410

Step-by-step explanation:

We know that customers arrive at a grocery store at an average of 2.1 per minute. We use the Poisson distribution:

$\boxed{P(k)=\frac{\lambda^k \cdot e^{-\lambda}}{k!}}$

a) In this case: $\lambda=2.1$

$P(2)=\frac{2.1^2 \cdot e^{-2.1}}{2}\\\\P(2)=0.270$

Therefore, the probability is P(2)=0.270.

b) In this case: $\lambda=2\cdot 2.1=4.2$

$P(X>3)=1-P(X\leq 3)\\\\P(X>3)=1-\sum_{x=0}^3 \frac{4.2^x \cdot e^{-4.2}}{x!}\\\\P(X>3)=1-0.395\\\\P(X>3)=0.605$

Therefore, the probability is P(X>3)=0.605.

c) We know that two customers came in in the first minute. That is why we calculate the probability of at least 5 customers entering the other 2 minutes.

In this case: $\lambda=2\cdot 2.1=4.2$

$P(X\geq 5)=1-P(X$

Therefore, the probability is P=0.410.

4 0

2 years ago