What is 628 times 33 with work shown

The sum of two numbers is 110. The larger number is 2 less than 7 times the smaller. Find the larger number.

kumpel [21]

We call two numbers a and b, notice a>b
<span>The sum of two numbers is 110: a+b=110
</span><span>The larger number is 2 less than 7 times the smaller: a=7b-2
And by replacing a=7b-2 we have an equation: 7b-2+b=110
or 8b=110+2, and 8b=112, that means b=112:8= 14

We have two numbers: 14 and 96</span>

5 0

4 years ago

In a survey of 603 adults, 98 said that they regularly lie to people conducting surveys. Create a 99% confidence interval for th

marysya [2.9K]

Answer:

The population proportion is estimated to be with 99% confidence within the interval (0.1238, 0.2012).

Step-by-step explanation:

The formula for estimating the population proportion by a confidence interval is given by:

$\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}$

Where:

$\hat{p}$ is the sample's proportion of success, which in this case is the people that regularly lie during surveys,

$z_{\alpha /2}$ is the critical value needed to find the tails of distribution related to the confidence level,

$n$ is the sample's size.

<u>First</u> we compute the $\hat{p}$ value:

$\hat{p}=\frac{successes}{n}=\frac{98}{603}=0.1625$

<u>Next</u> we find the z-score at any z-distribution table or app (in this case i've used StatKey):

$z_{\alpha /2}=2.576$

Now we can replace in the formula with the obtained values to compute the confidence interval:

$\hat{p}\pm z_{\alpha /2}\times\sqrt{\frac{\hat{p}\times(1-\hat{p})}{n}}=0.1625\pm 2.576\times\sqrt{\frac{0.1625\times(1-0.1625)}{603}}=(0.1238, 0.2012)$

5 0

3 years ago

The area of the rectangle is 24 inches. How much longer is its length than its width?

antiseptic1488 [7]

I Belive That There Can't Be 3 Numbers In A Rectangle Because At The Top You Get 24 And 6 And I Think It Is BxH One Half Times Base Times Height So 2xBxH .

8 0

3 years ago

Factor completely 8x5 2x4 4x2. Prime 2(4x5 x4 2x2) 2x(4x4 x3 2x) 2x2(4x3 x2 2).

Alecsey [184]

The complete factor of the expression $\rm 8x^5 + 2x^4 + 4x^2$ is $\rm 2x^{2} (4x^3 + x^2 + 2 )$ correct option is D.

<h3>What is a factorization?</h3>

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The expression is $\rm 8x^5 + 2x^4 + 4x^2$ .

To solve the expression properly we have to take common (2x²). Then we have

$\rm 8x^5 + 2x^4 + 4x^2\\\\2x^{2} (4x^3 + x^2 + 2 )$

The factor is $\rm 2x^{2} (4x^3 + x^2 + 2 )$ .

More about the factorization link is given below.

brainly.com/question/6810544

4 0

2 years ago

Grace earns $7 for each car she washes. She always saves$25 of her weekly earnings. This week she wants to have at least $65 in

lidiya [134]

Hi!
I think Grace needs to wash at least 6 cars. Please tell me if I'm wrong.

Thank you

7 0

3 years ago