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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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Answer:

x < -4.5

Step-by-step explanation:

<u>Step 1:  Solve for x</u>

-10x / -10 > 45 / -10

When dividing or multiplying by a negative, the sign flips.

x < -4.5

Answer:  x < -4.5

4 0
3 years ago
Find the values of sand y <br> VR=y<br> TS=x+11<br> VT=y-3x <br> RS=x+2
Bumek [7]
I'm guessing this is a parallelogram or something, so VR=TS and RS=VT
therefore, y=x+11 and x+2=y-3x
y=x+11 , 2=y-4x
y=x+11 , y=4x+2
then use the process of elimination:
   y=4x+2         then plug in:    y=3+11
-  y=x+11                                 y=14
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6 0
3 years ago
Bob's gift shop sold a record number of cards for Mother's Day. One salesman sold 25 cards, which was 20% of the cards sold for
Rina8888 [55]

Answer:

125 cards

Step-by-step explanation:

20% = 0.2= 1/5

So because 25 is 1/5 0f the total number cards multiply 25 by 4 to get the other 80% and add the first 25 cards to that number.

(25 x 4) + 25= ?

100 + 25 = 125

therefore 125 cards were sold.

8 0
2 years ago
Order of Operation pls help I'll mark u Brainly<br>Sorry if it's a lot.​
KonstantinChe [14]

Okay, I got you...

2) 2

3) 6

4) 33

5) 5

6) 19

No. (12+6)/2=9

and 12+6/2=15

This happens because in order of operations parentheses come first, so you would do that and get 18. Then you would divide 18 by 2 and get 9.

On the second one you would do division first (6/2) and get three, the you would add 12 and end up with 15.

Hope this helps :)

5 0
3 years ago
The question is in the picture
AnnZ [28]

Answer:

4

Step-by-step explanation:

5 0
3 years ago
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