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3 years ago

Solve: 3x^2+16x+5=0

Mathematics

1 answer:

ExtremeBDS [4]3 years ago

6 0

Answer:

(3x+1)(x+5)

Step-by-step explanation:

Sorry for my handwriting lol hope this makes sense

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A reindeer can run 96 miles in 3 hours at this rate how far can a reindeer run in 1hour explain

jekas [21]

This is how you do it: you put mile 96 over 3 and if u wanna know how many it will run in 1 hour. You cross multiply so you multiply 96 times1 and you get 96 but now you have to divide it by 3. If you do that you'll get the answer which is 32. There are other ways to do it but I just think it's way easier this way

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3 years ago

Suppose that in a random selection of 100 colored candies, 28% of them are blue. The candy company claims that the percentage

Zigmanuir [339]

Answer:

We conclude that the percentage of blue candies is equal to 29%.

Step-by-step explanation:

We are given that in a random selection of 100 colored candies, 28% of them are blue. The candy company claims that the percentage of blue candies is equal to 29%.

Let p = population percentage of blue candies

So, Null Hypothesis, $H_0$ : p = 29% {means that the percentage of blue candies is equal to 29%}

Alternate Hypothesis, $H_A$ : p $\neq$ 29% {means that the percentage of blue candies is different from 29%}

The test statistics that will be used here is One-sample z-test for proportions;

T.S. = $\frac{\hat p-p}{\sqrt{\frac{p(1-p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion of blue coloured candies = 28%

n = sample of colored candies = 100

So, the test statistics = $\frac{0.28-0.29}{\sqrt{\frac{0.29(1-0.29)}{100} } }$

= -0.22

The value of the z-test statistics is -0.22.

Also, the P-value of the test statistics is given by;

P-value = P(Z < -0.22) = 1 - P(Z $\leq$ 0.22)

= 1 - 0.5871 = 0.4129

Now, at a 0.10 level of significance, the z table gives a critical value of -1.645 and 1.645 for the two-tailed test.

Since the value of our test statistics lies within the range of critical values of z, so we insufficient evidence to reject our null hypothesis as it will not fall in the rejection region.

Therefore, we conclude that the percentage of blue candies is equal to 29%.

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3 years ago

"Refer to the accompanying data display that results from a sample of airport data speeds in Mbps. Complete parts (a) through

Stella [2.4K]

Answer:

it is not necessary to confirm that the sample data appear to be from a population with a normal distribution;

D. Because the sample size of 50 is greater than 30, it can be assumed that the sample mean is from a population with a normal distribution

Step-by-step explanation:

Normal distribution which is otherwise known as the Gaussian distribution, it is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

The arithmetic mean or average; is the sum of a collection of numbers divided by the total numbers in the collection.

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3 years ago

During one hour of television there are two shows on what is the ratio of hours to shows if you watch three hours of television

3241004551 [841]

During one hour of television there are two shows on. That would be the ratio 1:2. We need to find 3:?. Since 1×3 is 3, we multiply the second number by 3 as well. 2×3 is 6. So the ratio would be 3:6.

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3 years ago

Eight is less than twice what number? 8 < 2n 8 < 2 - n n < 8 × 2 2 < 8n

tamaranim1 [39]

Answer:

8 < 2n

Step-by-step explanation:

The number is n

Twice the number is 2n

So eight is less than twice what number is 8 < 2n

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3 years ago