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1 year ago

Write 15+45 as a product of two factors using the gcf and the distributive property

Mathematics

1 answer:

valkas [14]1 year ago

5 0

Answer:

15(1 + 3)

Step-by-step explanation:

15 written in its prime factors is 3 × 5 (15 × 1)

45 written in its prime factors 3 × 3 × 5 (15 × 3)

The greatest common factor is 15: 15 × 1 = 15 and 15 × 3 is 45

∴ 15 + 45 = 15(1 + 3)

Hope this helps! Make me brainiest, lol it's fine if you don't. : )

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Square root of 129 is greater than, less than or equal to 95/8?

Tanzania [10]

√129 is less than $\frac{95}{8}$ .

$\large\mathfrak{{\pmb{\underline{\purple{Step-by-step\:explanation}}{\purple{:}}}}}$

Let us first solve for √129.

➝ $\:\sqrt{129}$

➝ $\:11.3578$

Now,

➝ $\: \frac{95}{8}$

➝ $\:11.875$

Clearly,

➵ $\:11.3578 < 11.875$

➵ $\: \sqrt{129} < \frac{95}{8}$

Hence, √129 is less than $\frac{95}{8}$ .

$\red{\large\qquad \qquad \underline{ \pmb{{ \mathbb{ \maltese \: \: Mystique35☂}}}}}$

5 0

2 years ago

Someone please help<br> 4(x-2)-3>-3(-2+6)+2

NNADVOKAT [17]

Answer:

Fraction form: x > 1/4

Decimal form: x > 0.25

Step-by-step explanation:

5 0

2 years ago

3. A man needed money for college. He borrowed $6,000 at 14% simple interest per year. If he paid $420 interest, what was the du

9966 [12]

Answer: half year

Step-by-step explanation:

The formula to find the simple interest is given by :-

$I=Prt$ , , where P is the principal amount , r is the rate of interest and t is the time in year.

Given : I=420 ; r=14%=0.14 and P =$6000

Then, we have the following equation :-

$420=6000\times0.14 \times t\\\\\Rightarrow\ t=\dfrac{420}{6000\times0.14}=0.5$

It means the duration of the loan is half year .

6 0

3 years ago

A random sample of n 1 = 249 people who live in a city were selected and 87 identified as a democrat. a random sample of n 2 = 1

kvasek [131]

Answer:

$CI=\{-0.2941,-0.0337\}$

Step-by-step explanation:

Assuming conditions are met, the formula for a confidence interval (CI) for the difference between two population proportions is $\displaystyle CI=(\hat{p}_1-\hat{p}_2)\pm z^*\sqrt{\frac{\hat{p}_1(1-\hat{p}_1)}{n_1}+\frac{\hat{p}_2(1-\hat{p}_2)}{n_2}$ where $\hat{p}_1$ and $n_1$ are the sample proportion and sample size of the first sample, and $\hat{p}_2$ and $n_2$ are the sample proportion and sample size of the second sample.

We see that $\hat{p}_1=\frac{87}{249}\approx0.3494$ and $\hat{p}_2=\frac{58}{113}\approx0.5133$ . We also know that a 98% confidence level corresponds to a critical value of $z^*=2.33$ , so we can plug these values into the formula to get our desired confidence interval:

$\displaystyle CI=(\hat{p}_1-\hat{p}_2)\pm z^*\sqrt{\frac{\hat{p}_1(1-\hat{p}_1)}{n_1}+\frac{\hat{p}_2(1-\hat{p}_2)}{n_2}}\\\\CI=\biggr(\frac{87}{249}-\frac{58}{113}\biggr)\pm 2.33\sqrt{\frac{\frac{87}{249}(1-\frac{87}{249})}{249}+\frac{\frac{58}{113}(1-\frac{58}{113})}{113}}\\\\CI=\{-0.2941,-0.0337\}$

Hence, we are 98% confident that the true difference in the proportion of people that live in a city who identify as a democrat and the proportion of people that live in a rural area who identify as a democrat is contained within the interval {-0.2941,-0.0337}

The 98% confidence interval also suggests that it may be more likely that identified democrats in a rural area have a greater proportion than identified democrats in a city since the differences in the interval are less than 0.

5 0

2 years ago

Aimee started a business making picture frames. On the first day that she was in business, she made 3 picture frames. She then i

hichkok12 [17]

Answer:

i think its c

Step-by-step explanation:

7 0

2 years ago