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lord [1]
2 years ago
8

Where does the line y = 4x + 1 intersect the y-axis (the y-intercept)?

Mathematics
1 answer:
Nataliya [291]2 years ago
6 0

Answer:

(0,1)

Step-by-step explanation:

The equation for slope is y=mx+b.

The b value stands as the y - intercept.

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This expression is equivalent (9+3)4
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Suppose i pick a jelly bean at random from a box containing two red and ten blue ones. i record the color and put the jelly bean
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The probability of picking a blue jelly bean is 10/12=0.833, since there are 10 blue and 12 jelly beans in total.

Each time the probability of picking blue is the same, since put back in the box whatever jelly bean we pick

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A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced.
zzz [600]

Answer:

CI=(66.54,78.46)                                  

Step-by-step explanation:

Given : A new catalyst is being investigated for use in the production of a plastic chemical. Ten batches of the chemical are produced. The mean yield of the 10 batches is 72.5% and the standard deviation is 5.8%. Assume the yields are independent and approximately normally distributed.

To find : A 99% confidence interval for the mean yield when the new catalyst is used ?

Solution :

Let X be the yield of the batches.

We have given, n=10 , \bar{X}=72.5\% , s=5.8%

Since the size of the sample is small.

We will use the student's t statistic to construct a 995 confidence interval.

\bar X\pm t_{n-1,\frac{\alpha}{2}}\frac{s}{\sqrt n}

From the t-table with 9 degree of freedom for \frac{\alpha}{2}=0.005

t_{n-1,\frac{\alpha}{2}}=t_{9,0.005}

t_{n-1,\frac{\alpha}{2}}=3.250

The 99% confidence interval is given by,

CI=72.5 \pm 3.25\frac{5.8}{\sqrt{10}}

CI=72.5 \pm 5.96

CI=(72.5+5.96),(72.5-5.96)

CI=(66.54,78.46)

8 0
3 years ago
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