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BartSMP [9]
3 years ago
12

How many numbers between 24 and 719 are divisible by 4 and 8?

Mathematics
1 answer:
Alex Ar [27]3 years ago
3 0

There total 92 number which is divisible by 4 and 8 ,which is below

24,32, 40, 48,56, 64, 72, 80, 88, 96, 104,112,120, 128, 136, 144, 152, 160,168, 176, 184,192, 200,208,216, 224, 232,240, 248, 256, 264, 272, 280, 288, 296, 304, 312, 320, 328, 336, 344, 352, 360, 368, 376, 384, 392, 400, 408, 416, 424,432, 440, 448,456,464, 472, 480, 488, 496, 504, 512,520, 528, 536, 544, 552,560, 568, 576, 584, 592, 600, 608, 616,624, 632, 640,648, 656, 664, 672,680, 688, 696, 704, 712,720,728

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F(x) = 2x and g(x) = x + 1, find f(3) and find gf(3)
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loris [4]

Answer:

The remainder is -2.

Step-by-step explanation:

According to the Polynomial Remainder Theorem, if we divide a polynomial P(x) by a binomial (<em>x</em> - <em>a</em>), then the remainder of the operation will be given by P(a).

Our polynomial is:

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And we want to find the remainder when it's divided by the binomial:

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We can rewrite our divisor as (<em>x</em> - (-1)). Hence, <em>a</em> = -1.

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\displaystyle\begin{aligned}  R &= P(-1)\\ &=(-1)^3-4(-1)^2-6(-1)-3 \\ &= (-1)-4(1)+(6)-3 \\ &= -2 \end{aligned}

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5 0
2 years ago
A consumer group is interested in estimating the proportion of packages of ground beef sold at a particular store that have an a
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Step-by-step explanation:

When there is no prior information for the population proportion, then the formula we use to find the sample size to estimate the confidence interval :

n=0.25(\dfrac{z^*}{E})^2 , where z* = Critical z-value and E + amrgin of error.

Let p = proportion of packages of ground beef sold at a particular store that have an actual fat content exceeding the fat content stated on the label.

Since , we have no prior information about p. so we use above formula

with E = 0.06 and critical value for 95% confidence =z* =1.96  [By z-table ] , we get

n=0.25(\dfrac{1.96}{0.06})^2=0.25(32.6666)^2\\\\=(0.25)(1067.111111)\\\\=266.777777778\approx267

Hence, the required sample size is 267.

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