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3 years ago

2x²+10x=0 by using any method

Mathematics

1 answer:

iren [92.7K]3 years ago

8 0

2x²+10x=0

2x(x+5)=0

2x=0 or x+5=0

x=0 or x= -5

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NEED ANSWER ASAP pls

EleoNora [17]

Answer:

Let F = Fran's income

Let W = Winston's income

Combined income is 80000 ==> F + W = 80000

One quarter of Winston's income is the same as one-sixth of Fran's income ==>

(1/4)*W = (1/6)*F

Multiply the 2nd equation by 12 to clear the fractions

3*W = 2*F

Solve this equation for F

F = (3/2)*W

Substitute this value for F into the 1st equation

(3/2)*W + W = 80000

(5/2)*W = 80000

W = (2/5)*80000 = 32000

So F = 80000 - 32000 = 48000

So Winston earns 32000 and Fran earns 48000

Check: One quarter of Winston's income is 32000/4 = 8000

One sixth of Fran'e income is 48000/6 = 8000

Step-by-step explanation: Hope this helps

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2 years ago

How do you write the logarithmic equation in exponential form when you use ln?

goldfiish [28.3K]

E^0.693 = 1/2 ln = log e

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3 years ago

Suppose you read online that children first count to 10 successfully when they are 32 months old, on average. You perform a hypo

creativ13 [48]

Answer:

$p_v =2*P(t_{(35)}$

Step-by-step explanation:

Assuming this info from R

hist(gifted$count)

## Min. 1st Qu. Median Mean 3rd Qu. Max.

## 21.00 28.00 31.00 30.69 34.25 39.00

## Sd

## [1] 4.314887

Data given and notation

$\bar X=30.69$ represent the mean

$s=4.3149$ represent the sample standard deviation

$n=36$ sample size

$\mu_o =32$ represent the value that we want to test

$\alpha$ represent the significance level for the hypothesis test.

t would represent the statistic (variable of interest)

$p_v$ represent the p value for the test (variable of interest)

State the null and alternative hypotheses.

We need to conduct a hypothesis in order to check if the mean is different than 32, the system of hypothesis would be:

Null hypothesis: $\mu = 32$

Alternative hypothesis: $\mu \neq 32$

If we analyze the size for the sample is > 30 but we don't know the population deviation so is better apply a t test to compare the actual mean to the reference value, and the statistic is given by:

$t=\frac{\bar X-\mu_o}{\frac{s}{\sqrt{n}}}$ (1)

t-test: "Is used to compare group means. Is one of the most common tests and is used to determine if the mean is (higher, less or not equal) to an specified value".

Calculate the statistic

We can replace in formula (1) the info given like this:

$t=\frac{30.69-32}{\frac{4.3149}{\sqrt{36}}}=-1.822$