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stellarik [79]
2 years ago
8

Point Q is on line segment PR . Given PQ=16 and PR=19, determine the length of QR

Mathematics
1 answer:
Nikitich [7]2 years ago
7 0

Answer:

QR = 3

Step-by-step explanation:

given that Q is on the segment PR , then

PQ + QR = PR ( substitute values )

16 + QR = 19 ( subtract 16 from both sides )

QR = 3

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Georgianna claims that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons.
Allisa [31]

Answer:

The  condition  are

           The  Null hypothesis is  H_o  :  \mu = 5

           The  Alternative hypothesis is  H_a  :  \mu <  5

The  check revealed that

             There is sufficient evidence to support the claim that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons

Step-by-step explanation:

From the question we are told that

     The  population mean is  \mu =  5 \ year

      The sample size is  n =  20

      The sample mean is  \=  x  =  4.6 \  years

       The  standard deviation is \sigma  =  2.2  \ years

   The  Null hypothesis is  H_o  :  \mu = 5

   The  Alternative hypothesis is  H_a  :  \mu <  5

So i will be making use of  \alpha =  0.05 level of significance to test this claim

    The critical value of  \alpha from the normal distribution table is  Z_\alpha  =  1.645

 

Generally the test statistics is mathematically evaluated as

                 t =  \frac{\= x  - \mu}{ \frac{\sigma }{\sqrt{n} } }

substituting values

                 t =  \frac{ 4.6  - 5}{ \frac{2.2}{\sqrt{20} } }

                t =  -0.8131

Looking at the value of  t and Z_{\alpha } we see that  t <  Z_{\alpha } so we fail to reject the null hypothesis  

  This implies that there is sufficient evidence to support the claim that in a small city renowned for its music school, the average child takes at least 5 years of piano lessons.

4 0
3 years ago
Hello ppl........help plz
olya-2409 [2.1K]

Answer:

Answer is A. 36x-11y

Step-by-step explanation:

34x-12x+14x-18y+7y

=22x+14x-18y+7y

=36x-11y

6 0
3 years ago
PLEASE HELP! I have been working on this IXL for over 30 minutes and I keep getting the questions wrong. I am not good at graphi
ollegr [7]
The equations are in slope intercept form which is

y = mx+b

m is the slope of the equation. slope is rise/ run meaning that if a slope is 2, you can also say 2/1. this means you go up 2 squares and to the right 1 point. if the slope is negative, it looks like a downhill and the line falls left to right. if the slope is positive, it looks like uphill and the line falls right to left.

the x is what the slope is multiplied by but isn’t significant in graphing because it’s always just x

the b represents the y intercept. the y axis is the vertical line on the graph. for example if b = 7, then the line goes through 7 on the graph and basically tells us that (0,7) is a point on the line.

for y= x + 7, the slope is 1. that equation is just saying y= 1x+7 but the one is unnecessary usually because it’s implied that the x means 1x

i attached a picture of the graphed lines

4 0
3 years ago
The cost (in dollars) in making b bracelets is represented by 4+5b. The cost (in dollars) of making b necklaces is represented b
ddd [48]
Answer:

P(b)=3b+2

Step-by-step explanation:

The cost (in dollars) in making b bracelets is represented is

B(b)=4+5b

The cost (in dollars) of making b necklaces is

N(b)=8b+6

To find how much more it will cost to make b necklaces than b bracelets, we find the difference,

P(b)=N(b)-B(b)

P(b)=8b+6-(4+5b)

P(b)=8b+6-4-5b

P(b)=3b+2

This is a polynomial in descending powers of b, hence it is in standard form;
8 0
3 years ago
Which one is greater 3/10 or 2/5
Andreyy89

Answer:

2/5

Step-by-step explanation:

2/5=4/10

4 0
2 years ago
Read 2 more answers
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