2 years ago

Solve for x and then find the measure of

Mathematics

1 answer:

masha68 [24]2 years ago

5 0

Answer:
Of angle B...

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Two telephone calls come into a switchboard at random times in a fixed one-hour period. Assume that the calls are made independe

svp [43]

Answer:

0.25

Step-by-step explanation:

From the given information:

Since the times are uniform distributed over the one hour period (0,1):

Then;

$f_1(y_1) = 1$

$f_2(y_2) = 1$

So, $Y_1$ and $Y_2$ are independent; then:

$f(y_1|y_2) = f_1(y_1)f_2(y_2) \\ \\ = 1(1) = 1$

$P(Y_1\le 0.5 Y_2 \le 0.5) = \int ^{0.5}_{0} \int ^{0.5}_{0} f(y_1,y_2) dy_{2}dy_{1}$

$\implies \int ^{0.5}_{0} \int ^{0.5}_{0} (1) dy_{2}dy_{1}$

$= \dfrac{1}{4}$

= 0.25

3 0

2 years ago

Jose is baking cakes. He needs 3/4 of butter for each cake. One stick of butter is a 1/2 of a cup. How many sticks do he need to

Anastaziya [24]

Answer: 6 sticks

Step-by-step explanation:

Given

Joe needs $\frac{3}{4}$ butter for each cake

One stick of butter is equivalent to 0.5 cup

So, joe need

$\dfrac{3}{4}\times \dfrac{1}{2}=\dfrac{3}{8}\ \text{cup}$

for each cake

To bake 8 cakes, it is

$\Rightarrow \dfrac{3}{4}\times 8=6\ \text{sticks}$

3 0

2 years ago

Complete the steps to solve the polynomial equation x3 – 21x = –20. According to the rational root theorem, which number is a po

Artist 52 [7]

X^3 - 21x = -20add 20 to both sidesx^3 - 21 x + 20 = 0Rational Root Theorem:Factors of P (constant) 20 = 1, 2, 4, 5, 10, 20------------------------------- Factors of Q (leading Coefficient) = 1
Possible zeros (all + -) 1/1, 2/1, 4/1, 5/1, 10/1, 20/1
Of the choices given only the number 1 is a possible root.

4 0

3 years ago

Read 2 more answers

The multiplication table below can be used to find equivalent ratios.

Liula [17]

Answer:

Step-by-step explanation:

3/24 = 3/3*8 = 1/8

24/32 = 4*6/4*8 = 6/8

32/24 = 4*8/4*6 = 8/6

24/3 = 3*8/3 = 8/1 = 8

5 0