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3 years ago

The temperature at 5:00 am functions

Mathematics

1 answer:

erma4kov [3.2K]3 years ago

7 0

Answer:

t2 = 37 °F

Step-by-step explanation:

=52

∘

g=3

∘

F/hr

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According to government data, 75% of employed women have never been married. Rounding to 4 decimal places, if 15 employed women

blagie [28]

Answer:

We are given that According to government data, 75% of employed women have never been married.

So, Probability of success = 0.75

So, Probability of failure = 1-0.75 = 0.25

If 15 employed women are randomly selected:

a. What is the probability that exactly 2 of them have never been married?

We will use binomial

Formula : $P(X=r) =^nC_r p^r q^{n-r}$

At x = 2

$P(X=r) =^{15}C_2 (0.75)^2 (0.25^{15-2}$

$P(X=2) =\frac{15!}{2!(15-2)!} (0.75)^2 (0.25^{13}$

$P(X=2) =8.8009 \times 10^{-7}$

b. That at most 2 of them have never been married?

At most two means at x = 0 ,1 , 2

So, $P(X=r) =^{15}C_0 (0.75)^0 (0.25^{15-0}+^{15}C_1 (0.75)^1 (0.25^{15-1}+^{15}C_2 (0.75)^2 (0.25^{15-2}$

$P(X=r) =(0.75)^0 (0.25^{15-0}+15 (0.75)^1 (0.25^{15-1}+\frac{15!}{2!(15-2)!} (0.75)^2 (0.25^{15-2})$

$P(X=r) =9.9439 \times 10^{-6}$

c. That at least 13 of them have been married?

P(x=13)+P(x=14)+P(x=15)

$={15}C_{13}(0.75)^{13} (0.25^{15-13})+{15}C_{14} (0.75)^{14}(0.25^{15-14}+{15}C_{15} (0.75)^{15} (0.25^{15-15})$

$=\frac{15!}{13!(15-13)!}(0.75)^{13} (0.25^{15-13})+\frac{15!}{14!(15-14)!} (0.75)^{14}(0.25^{15-14}+{15}C_{15} (0.75)^{15} (0.25^{15-15})$

$=0.2360$

8 0

3 years ago

The recipe calls for 2/3 cup of sugar and 3/4 cup of flour. What is the total amount of dry goods that the recipe calls for you

Tju [1.3M]

Answer:

i- umm- its, well i got two answers n this question as well, but umm, i think its

1 5/12 maybe

Step-by-step explanation:

5 0

3 years ago

3. A group of workers is harvesting berries at a constant rate. An equation that represents the number of baskets of berries the

grin007 [14]

In y = mx + b form, the slope can be found in the m position and the y intercept can be found in the b position.

y = mx + b

y = 2x + 15

slope(m) = 2 and y int (b) = 15

The initial amount is the y intercept, which is 15. The rate of change (the slope) is 2

example :

baskets picked in 1 hr :

y = 2(1) + 15

y = 2 + 15

y = 17

baskets picked in 2 hrs :

y = 2(2) + 15

y = 4 + 15

y = 19

so the slope ( rate of change) is basically saying for every hr of picking, you pick 2 baskets...so your picking 2 baskets per hr.

The y intercept (15) is telling us that they already had 15 baskets to start with.

6 0

3 years ago

Solve this Will mark as brainliest

Elina [12.6K]

Step-by-step explanation:

11+11+9 equals 30 just do the math it simple

6 0

3 years ago

A scientist is interested in the effect of time spent with parents and number of hours

gladu [14]

Answer: If X = 5, z=-3

If X = 37, z= 3.4

Step-by-step explanation:

We know that the formula to find the z-score for any random variable x is given by :-

$z=\dfrac{x-\mu}{\sigma}$

, where $\mu$ = Population mean

$\sigma$ = Population standard deviation.

As per given , we have

$\mu=20\\\\\sigma=5$

Then , the z-score for x =5

$z=\dfrac{5-20}{5}=\dfrac{-15}{5}=-3$

i.e. If X = 5, z=-3

When x =37,then $z=\dfrac{37-20}{5}=\dfrac{17}{5}=3.4$

i.e. If X = 37, z= 3.4

7 0

3 years ago