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3 years ago

Write the number equal to 7 tens and 3 ones

Mathematics

2 answers:

Sergeu [11.5K]3 years ago

4 0

7tens= 70 3ones= 3
So 70+3=73

iren2701 [21]3 years ago

3 0

The answer is 73 because 7 tens + 3 ones = 73

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Liz wants to estimate the percentage of people who rent their home. She surveys 320 individuals and finds that 176 rent their ho

SOVA2 [1]

Answer: 0.065

Step-by-step explanation:

Given : Sample size : n= 320

The sample proportion of people who rent their home : $p=\dfrac{176}{320}=0.55$

Significance level : $\alpha:1-0.98=0.02$

Then , Critical value : $z_{\alpha/2}=2.33$

The formula to find the margin of error : -

$E=z_{\alpha/2}\sqrt{\dfrac{p(1-p)}{n}}\\\\\Rightarrow\ E=(2.33)\sqrt{\dfrac{0.55(1-0.55)}{320}}\\\\\Rightarrow\ E=0.064799034281\approx0.065$

Hence, the margin of error for the confidence interval for the population proportion with a 98% confidence level =0.065

4 0

3 years ago

The product of (3 − 4i) and____is 25.

LiRa [457]

$(3-4i)(a+bi)=25\qquad\text{use FOIL method}\\\\(3)(a)+(3bi)+(-4i)(a)+(-4i)(bi)=25+0i\\\\3a+3bi-4ai-4bi^2=25+0i\\\\3a+3bi-4ai-4b(-1)=25+0i\\\\3a+3bi-4ai+4b=25+0i\\\\(3a+4b)+(3b-4a)i=25+0i\\.\qquad\qquad\qquad\qquad\Downarrow\\\\3a+4b=25\ and\ 3b-4a=0\\\\3b-4a=0\qquad\text{add 4a to both sides}\\\\3b=4a\qquad\text{divide both sides by 3}\\\\b=\dfrac{4}{3}a\qquad\text{substitute it to the first equation}\\\\3a+4\left(\dfrac{4}{3}a\right)=25\\\\3a+\dfrac{16}{3}a=25\qquad\text{multiply both sides by 3}$

$9a+16a=75\\\\25a=75\qquad\text{divide both sides by 25}\\\\\boxed{a=3}\qquad\text{put the value of a to}\ b=\dfrac{4}{3}a:\\\\b=\dfrac{4}{3}(3)\\\\\boxed{b=4}\\\\Answer:\ \boxed{(3-4i)\underline{(3+4i)}=25}$

6 0

3 years ago

Solve for the indicated variable in this literal equation: <img src="https://tex.z-dn.net/?f=%20%5Cfrac%7Ba%7D%7Bb%7D%3Dc%20%20"

Rainbow [258]

a/b=c

you gonna cross multiple.

so, b multiple by c=a

bc=a

then you divide it by c

so the answer will be b=a/c

7 0

3 years ago

Alden has 5 siblings. His sister is 5 years older than he is and 3 times as old as his second sister. Alden's brother is 4 years

salantis [7]

Answer:Alden is 13 years old

Step-by-step explanation

Let x represent Alden's age.

Let y represent the age of his sister.

Let z represent the age of his second sister.

His sister is 5 years older than he is and 3 times as old as his second sister. This means that

y = x + 5

y = 3z

Alden's brother is 4 years younger than his second sister. It means that his brother's age is

z - 4

His brother is 2. It means that

z - 4 = 2

z = 2 + 4 = 6

y = 3z

y = 3 × 6 = 18

Substituting y = 18 into y = x + 5, it becomes

18 = x + 5

x = 18 - 5 = 13

8 0

3 years ago

If an employee notices that a bucket with sanitizing water is becoming dirt, he/she should ___.

ehidna [41]

This is pretty much a "common sense" question. It'd be best to get rid of the dirty sanitizing water and start fresh; in other words, he should change (throw out) the dirty water and make a fresh sanitizer.

By the way, this is the Math section; next time, please choose a different section more suited to your questions.

7 0

3 years ago