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erik [133]
2 years ago
10

In detail explain how to multiply in binomial of (5x-7 (2x-1) in foil method

Mathematics
1 answer:
Nesterboy [21]2 years ago
4 0

Step-by-step explanation:

First

Outer

Inner

Last

First- 5x*2x=10x^2

Outer-5x*-1= -5x

Inner--7*2x= -14x

Last- -7*-1= 7

10x^2-5x-14x+7

you can simplify it further however thats the answer

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Does anyone know how to solve this?
masya89 [10]

Answer:

b = -125/9

Step-by-step explanation:

1 + log5 ( -9b) = 4

Subtract 1 from each side

1 -1+ log5 ( -9b) = 4-1

log5 ( -9b) = 3

Raise each side to the base 5

5^  log5 ( -9b) = 5^3

This will cancel the log5

-9b = 125

Divide each side by 9

-9b/-9 = 125/-9

b = -125/9

3 0
3 years ago
Is jk the same length as kl? make sure you have mathematical proof to support your answer
lutik1710 [3]
Yes jk and kl are the same length because if you count the amount of units they reach from the first point to the last they both are 3 squared units/units how ever you want to call it.
7 0
2 years ago
A dataset lists full IQ scores for a random sample of subjects with low lead levels in their blood (sample 1) and another random
Alenkasestr [34]

Answer:

a. Null hypothesis: \mu_1 \leq \mu_2

Alternative hypothesis: \mu_1 >\mu_2

b. t=\frac{(92.88 -86.90)-(0)}{\sqrt{\frac{15.34^2}{78}}+\frac{8.99^2}{21}}=2.282

c. p_v =P(t_{97}>2.287) =0.0122

So with the p value obtained and using the significance level given \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the mean of the group 1 (Low Blood Lead level) is significantly higher than the mean for the group 2 (High Blood Lead level).  

Step-by-step explanation:

a. State and label the null and alternative hypotheses.

The system of hypothesis on this case are:

Null hypothesis: \mu_1 \leq \mu_2

Alternative hypothesis: \mu_1 >\mu_2

Or equivalently:

Null hypothesis: \mu_1 - \mu_2 \leq 0

Alternative hypothesis: \mu_1 -\mu_2>0

Our notation on this case :

n_1 =78 represent the sample size for group 1

n_2 =21 represent the sample size for group 2

\bar X_1 =92.88 represent the sample mean for the group 1

\bar X_2 =86.90 represent the sample mean for the group 2

s_1=15.34 represent the sample standard deviation for group 1

s_2=8.99 represent the sample standard deviation for group 2

b. State the value of the test statistic.

And the statistic is given by this formula:

t=\frac{(\bar X_1 -\bar X_2)-(\mu_{1}-\mu_2)}{\sqrt{\frac{s^2_1}{n_1}}+\frac{s^2_2}{n_2}}

Where t follows a t distribution with n_1+n_2 -2 degrees of freedom. If we replace the values given we have:

t=\frac{(92.88 -86.90)-(0)}{\sqrt{\frac{15.34^2}{78}}+\frac{8.99^2}{21}}=2.282

Now we can calculate the degrees of freedom given by:

df=78+21-2=97

c. Find either the critical value(s) and draw a picture of the critical region(s) or find the P-value for this test. Indicate which method you are using: ( CIRCLE ONE: Critical value / P-value )

Method used: P value

And now we can calculate the p value using the altenative hypothesis, since it's a right tail test the p value is given by:

p_v =P(t_{97}>2.287) =0.0122

So with the p value obtained and using the significance level given \alpha=0.05 we have p_v so we can conclude that we have enough evidence to reject the null hypothesis, and we can said that at 5% of significance the mean of the group 1 (Low Blood Lead level) is significantly higher than the mean for the group 2 (High Blood Lead level).  

6 0
3 years ago
If a machine produces 15 screws per​ minute, how many screws will it produce in 22 ​hours?
Sindrei [870]
15 × 60 = 900
900 × 22 = 19800

The answer is 19800 screws
5 0
3 years ago
If 8x = 48, then x = ___. (Only input whole number) Numerical Answers Expected! Answer for Blank 1:
Leno4ka [110]

Answer:

x = 6

Step-by-step explanation:

8x = 48,

Divide each side by 8 to isolate x

8x/8 = 48/8

x = 6

5 0
3 years ago
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