Which expression is 3 times as large as the expression 610

At a high-end restaurant, a meal with a 22% tip costs $179.11. What was the original cost of the meal?

PSYCHO15rus [73]

Answer:

139.71

Step-by-step explanation:

22% of 179.11 is 39.40

179.11 - 39.40 = 139.71

6 0

3 years ago

Read 2 more answers

Point A has coordinates (-5, 3). If point (1, 6) is 3/4ths of the way from A to B, what are the coordinates of point B

Kamila [148]

Answer:

(3, 7)

Step-by-step explanation:

Let's say that the intermediate point is P. Then we have ...

P - A = (3/4)(B - A)

(4/3)(P -A) = B - A . . . . . . . . . multiply by 4/3

(4/3)P -(4/3)A + A = B . . . . . . add A

(4P -A)/3 = B . . . . . . . . . . . . . simplify

Then the coordinates of point B are ...

B = (4(1, 6) -(-5, 3))/3 = (9, 21)/3

B = (3, 7)

8 0

4 years ago

In the diagram below what is the measure of X round to the nearest whole number if necessary round your answer to the nearest 10

Fynjy0 [20]

Answer:

C. 12

Step-by-step explanation:

Find x by applying the leg rule.

The leg rule is given as:

Hypotenuse/leg = leg/part

Hypotenuse = 24

Leg = 17

Part = x

Plug in the value into the equation:

24/17 = 17/x

Cross multiply

24*x = 17*17

24x = 289

x = 289/24

x = 12.0416667 ≈ 12 (nearest tenth)

3 0

3 years ago

A national college researcher reported that 65% of students who graduated from high school in 2012 enrolled in college. Twenty n

Usimov [2.4K]

Answer:

a) The probability that exactly 17 of them enroll in college is 0.116.

b) The probability that more than 14 enroll in college is 0.995.

c) The probability that fewer than 11 enroll in college is 0.001.

d) It would be be unusual if more than 24 of them enroll in college since the probability is 0.009.

Step-by-step explanation:

We can model this with a binomial distribution, with n=29 and p=0.65.

The probability that k students from the sample who graduated from high school in 2012 enrolled in college is:

$P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{29}{k} 0.65^{k} 0.35^{29-k}\\\\\\$

a) The probability that exactly 17 of them enroll in college is:

$P(x=17) = \dbinom{29}{17} p^{17}(1-p)^{12}=51895935*0.0007*0=0.116\\\\\\$

b) The probability that more than 14 of them enroll in college is:

$P(X>14)=\sum_{15}^{29} P(X=k_i)=1-\sum_{0}^{14} P(X=k_i)\\\\\\P(x=0)=0\\\\P(x=1)=0\\\\P(x=2)=0\\\\P(x=3)=0\\\\P(x=4)=0\\\\P(x=5)=0\\\\P(x=6)=0\\\\P(x=7)=0\\\\P(x=8)=0\\\\P(x=9)=0\\\\P(x=10)=0.001\\\\P(x=11)=0.002\\\\P(x=12)=0.005\\\\P(x=13)=0.013\\\\P(x=14)=0.027\\\\\\P(X>14)=1-0.005=0.995$

c) Using the probabilities calculated in the point b, we have:

$P(X$

d) The probabilities that more than 24 enroll in college is:

$P(X>24)=\sum_{25}^{29}P(X=k_i)\\\\\\ P(x=25) = \dbinom{29}{25} p^{25}(1-p)^{4}=23751*0*0.015=0.007\\\\\\P(x=26) = \dbinom{29}{26} p^{26}(1-p)^{3}=3654*0*0.043=0.002\\\\\\P(x=27) = \dbinom{29}{27} p^{27}(1-p)^{2}=406*0*0.123=0\\\\\\P(x=28) = \dbinom{29}{28} p^{28}(1-p)^{1}=29*0*0.35=0\\\\\\P(x=29) = \dbinom{29}{29} p^{29}(1-p)^{0}=1*0*1=0\\\\\\\\P(X>24)=0.007+0.002+0+0+0=0.009$

6 0

3 years ago

What is meant by core fitness

solniwko [45]

Core fitness refers to exercises to activate the muscles in a location called the core of your body. Hope this helps!

5 0

3 years ago

Which expression is 3 times as large as the expression 610 – 97?