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3 years ago

What is the answer to 13u − 11u = 10

Mathematics

2 answers:

Phantasy [73]3 years ago

8 0

Answer:

$\Huge\boxed{\mathsf{U=5}}}$

Step-by-step explanation:

Isolate u on one side of the equation.

13u-11u=2u (Subtract elements to the numbers from left to right).

2u=10

2u/2=10/2 (Divide by 2 from both sides.)

10/2 (Solve & Simplify.)

10/2=5

U=5

Therefore, the correct answer is u=5.

Anarel [89]3 years ago

6 0

Answer:

Step-by-step explanation:

$13u-11u=0\qquad\text{combine like terms}\\\\(13-11)u=0\\\\2u=0\qquad\text{divide both sides by 2}\\\\\dfrac{2u}{2}=\dfrac{0}{2}\\\\u=0$

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What is the best estimate for the answer to 321.786 + 240.273?

zvonat [6]

Round
321.786 is about 322
240.23 is about 240
322+240=562
about 562

3 0

3 years ago

A software company decided to conduct a survey on customer satisfaction. Out of 564 customers who participated in the online sur

nikklg [1K]

Answer:

$z=\frac{0.0904 -0.1}{\sqrt{\frac{0.1(1-0.1)}{564}}}=-0.760 \approx -0.8$

$p_v =2*P(z$

Step-by-step explanation:

Information given

n=564 represent the sample selected

X=51 represent the number of people who rated the overall services as poor

$\hat p=\frac{51}{564}=0.0904$ estimated proportion of people who rated the overall services as poor

$p_o=0.1$ is the value to compare

z would represent the statistic

Hypothsis to analyze

We want to analyze if the proportion of customers who would rate the overall car rental services as poor is 0.1, so then the system of hypothesis are:

Null hypothesis: $p=0.1$

Alternative hypothesis: $p \neq 0.1$

The statistic for a one z test for a proportion is given by:

$z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}$ (1)

Replacing the info given we got:

$z=\frac{0.0904 -0.1}{\sqrt{\frac{0.1(1-0.1)}{564}}}=-0.760 \approx -0.8$

And the p value since we have a bilateral test is given b:

$p_v =2*P(z$

3 0

3 years ago

Z 3 - 2z 2 + 9z - 18.

aev [14]

group the 1st 2 terms and last 2 terms:

(Z63 -2z^2) + (9z-18)

factor out GCF:

z^2(z-2) + 9(z-2)

now factor the polynomial:

(z-2) (z^2+9)

5 0

3 years ago

Read 2 more answers

A marketing firm would like to test-market the name of a new energy drink targeted at 18- to 29-year-olds via social media. A st

Anon25 [30]

Answer:

(a) The probability that a randomly selected U.S. adult uses social media is 0.35.

(b) The probability that a randomly selected U.S. adult is aged 18–29 is 0.22.

Step-by-step explanation:

Denote the events as follows:

X = an US adult who does not uses social media.

Y = an US adult between the ages 18 and 29.

Z = an US adult between the ages 30 and above.

The information provided is:

P (X) = 0.35

P (Z) = 0.78

P (Y ∪ X') = 0.672

(a)

Compute the probability that a randomly selected U.S. adult uses social media as follows:

P (US adult uses social media (X')) = 1 - P (US adult so not use social media)

$=1-P(X)\\=1-0.35\\=0.65$

Thus, the probability that a randomly selected U.S. adult uses social media is 0.35.

(b)

Compute the probability that a randomly selected U.S. adult is aged 18–29 as follows:

P (Adults between 18 - 29 (Y)) = 1 - P (Adults 30 or above)

$=1-P(Z)\\=1-0.78\\=0.22$

Thus, the probability that a randomly selected U.S. adult is aged 18–29 is 0.22.

(c)

Compute the probability that a randomly selected U.S. adult is 18–29 and a user of social media as follows:

P (Y ∩ X') = P (Y) + P (X') - P (Y ∪ X')

$=0.22+0.65-0.672\\=0.198$

Thus, the probability that a randomly selected U.S. adult is 18–29 and a user of social media is 0.198.

6 0

3 years ago

There are 276 students.

Lynna [10]

Step-by-step explanation:

Number of males is

276 - 158 = 118

Number of males not enrolled

118 - 82 = 36

Number of females not enrolled

158 - 102 = 56

(a)

The table based on data is

Enrolled Not enrolled Total

Male 82 36 118

Female 102 56 158

Total 184 92 276

(b)

Percentage of students were males that went to magic college

enrolled male / total students = (use table above)
82/276*100% = 29.71% (rounded)

(c)

Percentage of females went to magic college

enrolled female / total female = (use table above)
102/158*100% = 64.56% (rounded)

7 0

2 years ago