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Leni [432]
3 years ago
7

Jonathan must determine the solutions of the quadratic equation

Mathematics
1 answer:
irinina [24]3 years ago
5 0

Answer:The answer is C

Step-by-step explanation:

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By the time shana had completed 3/8 of her first lap in a race, she had also completed 1/32 of the entire race. How many laps we
Yuri [45]
3/8 of a lap is 1/32 of the entire race.
x - the number of laps in the race

\frac{3}{8}=\frac{1}{32}x \\
\frac{3}{8} \times 32=x \\
3 \times 4=x \\
x=12

There were 12 laps in the race.
3 0
3 years ago
A random sample of 30 households was selected as part of a study on electricity usage, and the number of kilowatt-hours (kWh) wa
grin007 [14]

Answer:

The 98% confidence interval for the mean usage in the March quarter of 2006, in kWh, was (333.87, 416.13).

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 30 - 1 = 29

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 29 degrees of freedom(y-axis) and a confidence level of 1 - \frac{1 - 0.98}{2} = 0.99. So we have T = 2.462

The margin of error is:

M = T\frac{s}{\sqrt{n}} = 2.462\frac{91.5}{\sqrt{30}} = 41.13

In which s is the standard deviation of the sample and n is the size of the sample.

The lower end of the interval is the sample mean subtracted by M. So it is 375 - 41.13 = 333.87 kWh

The upper end of the interval is the sample mean added to M. So it is 375 + 41.13 = 416.13 kWh

The 98% confidence interval for the mean usage in the March quarter of 2006, in kWh, was (333.87, 416.13).

6 0
3 years ago
Given point A (3, 8) and point B (-5, 1). Find the following: a.) The coordinates of the midpoint of segment AB. Write your answ
ss7ja [257]

Answer:

Mid point:

= ( \frac{3 +  - 5}{2} , \:  \frac{1 + 8}{2} ) \\  = ( - 1, \: 4.5)

distance:

=  \sqrt{ {( - 5 - 3)}^{2} +  {(1 - 8)}^{2}  }  \\  =  \sqrt{64 + 49}  \\  =  \sqrt{113}  \\  = 10.6 \: units

slope:

=  \frac{1 - 8}{ - 5 - 3}  \\  =  \frac{ - 7}{ - 8}  \\  =  \frac{7}{8}

8 0
3 years ago
Write the decimal 0.8¯¯¯ as a fraction in simplest form.
denis23 [38]

Answer: 4/5

Step-by-step explanation:

0.8 is 8 tenths which is 8/10 in fraction form

8/10 with both sides divided by two is 4/5

hope this helps u

4 0
3 years ago
Answer dis or somethinggg
NemiM [27]

Answer:

ok just did now give be brainlyest

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
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