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3 years ago

11.) Use the distributive property to expand the expression. (4 – 2x) 7

Mathematics

1 answer:

tatyana61 [14]3 years ago

6 0

<span>(4 – 2x) 7
= 28 - 14x ..............</span><span>distributive property</span>

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Chris and Beth Micelli made a $235,000 offer for the purchase of a new home, which was accepted. They made a 30% down payment an

slega [8]

The amount of mortgage will be the remaining amount after they made a downpayment.

Since the downpayment is 30%, the mortgage will be 70% of the purchased amount

So mortage will be :

mortgage = 0.70 x $235,000 = $164,500

From the closing cost table :

There are charges related to the mortgage (Points, Document stamp and Processing fee)

Adding these charges will be :

=2% + 0.30% + 1.10% = 3.4% of the mortgage

So this will give us :

= 0.034 x $164,500 = $5,593

Now to find the total mortgage, add the values in the closing cost table including the mortgage itself.

Total mortgage = 164500 + 5,593 + 252 + 65 + 325 + 212 + 410 + 350 + 450

Answer :

Total mortgage = $172,157

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1 year ago

The mean diastolic blood pressure for a random sample of 80 people was 100 millimeters of mercury. If the standard deviation of

polet [3.4K]

The confidence interval for the true mean diastolic blood pressure of all people is 100 ± 2.41 where the lower limit is 97.59 and the upper limit is 102.41

<h3>How to determine the confidence interval?</h3>

We have:

Mean = 100

Sample size = 80

Standard deviation = 11

At 95% confidence interval, the critical z value is:

z = 1.96

The confidence interval is then calculated as:

$CI = \bar x \pm z \frac{\sigma}{\sqrt n}$

So, we have:

$CI = 100 \pm 1.96 \frac{11}{\sqrt {80}}$

Evaluate the product

$CI = 100 \pm \frac{21.56}{\sqrt {80}}$

Divide

$CI = 100 \pm 2.41$

Split

CI = (100 - 2.41,100 + 2.41)

Evaluate

CI = (97.59,102.41)

Hence, the confidence interval for the true mean diastolic blood pressure of all people is 100 ± 2.41

Read more about confidence interval at:

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2 years ago

Which statement about numbers on the horizontal number line is true?

sattari [20]

On a horizontal number line, -ve is on left, 0 in middle n +ve on right

so ans is <span>C.) On the horizontal number line, -0.75 is located to the left of -0.4.</span>

6 0

3 years ago

Read 2 more answers

Suppose you have a $15 coupon that can be used on any purchase over $100 at your favorite clothing store. The discounted price o

victus00 [196]

Given that a coupon for $15 off will be applied on purchases over $100, the given discounted price of the jacket is $203. Since this is the discounted price, then it should be the price after the coupon has been used. To find the retail (or original) price, we simply add 15 back to 203. So the retail price should be $218.

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3 years ago

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David made a triangle with sides 6 cm, 9cm , 12 cm. George wanted to make a triangle bigger in size but similar to that drawn by

SashulF [63]

Step-by-step explanation:

Given :

\triangle ABC \sim \triangle XYZ .△ABC∼△XYZ.

AB = 6\:cm, \:BC = 9 \:cm, CA = 12 \:cmAB=6cm,BC=9cm,CA=12cm

Let \: XY = 10\:cm, \:YZ = x \:cm, \: XZ = y /:cmLetXY=10cm,YZ=xcm,XZ=y/:cm

\frac{AB}{XY} = \frac{BC}{x} = \frac{CA}{y}XYAB=xBC=yCA

\blue {( The \: lengths \:of \: corresponding }(Thelengthsofcorresponding

\blue {sides \:are \: proportional .)}sidesareproportional.)

\implies \frac{6}{10} = \frac{9}{x} = \frac{12}{y}⟹106=x9=y12

i) \implies \frac{6}{10} = \frac{9}{x}i)⟹106=x9

\implies x = \frac{9 \times 10}{6}⟹x=69×10

\implies x = 15\:cm⟹x=15cm

ii) \implies \frac{6}{10} = \frac{12}{y}ii)⟹106=y12

\implies y = \frac{12 \times 10}{6}⟹y=612×10

\implies y = 20\:cm⟹y=20cm

Therefore.,

\red { Value \:of \:x } \green { = 15\:cm }Valueofx=15cm

\red { Value \:of \:y } \green { = 20\:cm }Valueofy=20cm

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3 years ago