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lbvjy [14]
3 years ago
7

In the U.S., 95% of children have received their DTaP vaccine. Calculate the probability that fewer than 700 out of a sample of

LaTeX: n = 750n=750 children received their DTaP vaccine.
Mathematics
1 answer:
Studentka2010 [4]3 years ago
5 0

Answer:

0.0183

Step-by-step explanation:

The percentage of students, who received their DTaP vaccine is 95%.

This implies that:

p = 0.95

and

q = 1 - 0.95 = 0.05

The standard deviation of the proportion is

=  \sqrt{ \frac{pq}{n} }

=  \sqrt{ \frac{0.95 \times 0.05}{750} }  \\  = 0.00796

We want to find the probability, that the sample proportion,

\hat p \leqslant  \frac{700}{750} \\    \hat p \leqslant  0.9 \bar3

P(\hat p\le0.9\bar3)=P(Z\le \frac{0.9 \bar3 - 0.95 }{0.00796} ) \\  = P(Z\le - 2.09) \\  = 0.0183

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Westkost [7]

Answer:

6) c

7) d

Step-by-step explanation:

6) 25 + 15= 40

40+35=75

Php. 75

7) 29•3=87

150-87=63

Php. 63

Hope this helps!

6 0
3 years ago
Use point-slope form to write the equation of a line that passes through the point
Ymorist [56]

Answer:

y= -2x-22.

Step-by-step explanation:

1) the slope-interception common form is y=s*x+i, where 's' and 'i' are the slope and interception, unknown numbers;

2) if x₁= -3; y₁= -16, and s=-2, then the equation of the required line can be written in the point-interception form y-y₁=s(x-x₁); ⇔ y+16= -2(x+3);

3) the required equation in slope-interception form is:

y+16= -2x-6; ⇒ y= -2x-22.

note, the provided solution is not the only and shortest way.

5 0
2 years ago
Chan receives a bonus from his job. He pays 30% in taxes, gives 30% to charity, and uses another 15% to pay off an old debt. He
charle [14.2K]

Answer:

Chan's Bonus amount was $2400.

Step-by-step explanation:

Let the Total amount receive from bonus be 'x'.

Given:

Chan pays 30% in taxes;

So we can say;

Amount paid in taxes will be equal to 30% of total amount receive

framing in equation form we get;

Amount paid in taxes = \frac{30}{100}x=0.3x = 0.3x

Now Given:

Chan pays 30% in Charity;

So we can say;

Amount paid in charity will be equal to 30% of total amount receive.

framing in equation form we get;

Amount paid in Charity = \frac{30}{100}x=0.3x

Also Given:

Chan pays 30% in old debts;

So we can say;

Amount paid in Old debts will be equal  30% of total amount receive

framing in equation form we get;

Amount paid in Old debts = \frac{15}{100}x=0.15x

Money left with him = $600

Now we can say that Total Amount Receive in bonus will be equal to Amount paid in taxes plus Amount paid in charity plus Amount paid in old debts plus amount left.

framing in equation form we get;

x=0.3x+0.3x+0.15x+600\\\\x= 0.75x +600\\\\x-0.75x=600\\\\0.25x=600\\\\x=\frac{600}{0.25} = \$2400

Hence Chan's Bonus amount was $2400.

7 0
3 years ago
Ill mark brainilist or whatever, just answer please fast. Need this done asap
Archy [21]

Answer:

true

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
You have a bag of 10 marbles. Three of them are red, five are blue, and two are green. What is the probability of randomly picki
Fittoniya [83]

Answer:

EX :A jar contains 10 red marbles, 4 white marbles, and 2 blue marbles. Two ... To solve this question, you can solve for the probability of choosing 2 marbles that are pink and ... There are two even numbers and three odd numbers, so P (even) = 2/5 and P (odd) = 3/5. ... In a bag, there are 10 red, 15 green, and 12 blue marbles.

Step-by-step explanation:

7 0
3 years ago
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