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3 years ago

Find f (x) = -2x+9 when x=-10

Mathematics

1 answer:

Pani-rosa [81]3 years ago

7 0

Answer:

Step-by-step explanation:

1. plug in -10 for x

-2(-10) + 9

2. multiply -2 x -10 = 20

20 + 9

3. add 20 + 9 = 29

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Answer:

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2)y=x-4

Step-by-step explanation:

1)As we know slope intercept from

y=mx-b

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y=3x-2

2)y=mx-b

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3 years ago

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The sum of 15 and three times a number is 27. Find the number.

ser-zykov [4K]

Answer:

x is a number that is multiple by 3

Step-by-step explanation:

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2 years ago

In tests for intoxication, blood alcohol levels are expressed as percentages by volume. A blood alcohol level of 0.080% by volum

GaryK [48]

Answer:

The required volume is 5 ml.

Step-by-step explanation:

Given : In tests for intoxication, blood alcohol levels are expressed as percentages by volume. A blood alcohol level of 0.080% by volume means 0.080 mL of ethanol per 100 mL of blood and is considered proof of intoxication. If a person's total blood volume is 5.0 L.

To find : What volume of alcohol in the blood gives a blood alcohol level of 0.100 % by volume?

Solution :

According to question we use the formula,

$\text{Present Volume}=\dfrac{\text{Vol}_{\text{Alcohol}}}{\text{Vol}_{\text{total}}}\times 100\%$

The percentage of a blood alcohol level is 0.100%

The total volume of the blood is V=5L=5000 ml.

Substitute the value in the formula,

$0.100=\dfrac{\text{Vol}_{\text{Alcohol}}}{5000}\times 100$

$\frac{0.100}{100}=\dfrac{\text{Vol}_{\text{Alcohol}}}{5000}$

$\text{Vol}_{\text{Alcohol}}=\frac{0.100\times 5000}{100}$

$\text{Vol}_{\text{Alcohol}}=5$

Therefore, the required volume is 5 ml.

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3 years ago

I need help with this question

Bingel [31]

The pattern is count by 2

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3 years ago

A random sample of 850 births included 434 boys. Use a 0.10 significance level to test the claim that 51.5% of newborn babies a

Molodets [167]

Answer:

Null hypothesis: H0: p = 0.515

Alternative hypothesis: Ha ≠ 0.515

z = -0.257

P value = P(Z<-0.257) = 0.797

Decision; we fail to reject the null hypothesis. That is, the results support the belief that 51.5% of newborn babies are boys

Rule

If;

P-value > significance level --- accept Null hypothesis

P-value < significance level --- reject Null hypothesis

Z score > Z(at 90% confidence interval) ---- reject Null hypothesis

Z score < Z(at 90% confidence interval) ------ accept Null hypothesis

Step-by-step explanation:

The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

For the case above;

Null hypothesis: H0: p = 0.515

Alternative hypothesis: Ha ≠ 0.515

Given;

n=850 represent the random sample taken

Test statistic z score can be calculated with the formula below;

z = (p^−po)/√{po(1−po)/n}

Where,

z= Test statistics

n = Sample size = 850

po = Null hypothesized value = 0.515

p^ = Observed proportion = 434/850 = 0.5106

Substituting the values we have

z = (0.5106-0.515)/√(0.515(1-0.515)/850)

z = −0.256677

z = −0.257

To determine the p value (test statistic) at 0.10 significance level, using a two tailed hypothesis.

P value = P(Z<-0.257) = 0.797

Since z at 0.10 significance level is between -1.645 and +1.645 and the z score for the test (z = -0.257) which falls with the region bounded by Z at 0.10 significance level. And also the one-tailed hypothesis P-value is 0.797 which is greater than 0.10. Then we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say that at 10% significance level the null hypothesis is valid.

5 0

3 years ago