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3 years ago

Increase 28 by 7 percent

1 answer:

7 0

7 percent... 7 percent of what?

AnswerP 7 % of 28!

so we need to know what 7% of 28 is:

$\frac{7*28}{100}$ =1.96.

After the increase:

28+1.96=29.96

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The longest side of a triangle similar XYZ is 39 units long. Find the other side lengths of the triangle.

Neporo4naja [7]

Answer:

The side lengths are 30, 36 and 39.

Step-by-step explanation:

To find the missing side, write a proportion using side lengths from each similar shape. A proportion is an equation that sets equal two ratios.

$\frac{13}{39}=\frac{12}{y}$

Find y by cross multiplying numerator and denominator of each fraction.

13y = 39(12)

13y = 468

y = 36

Find the other missing side by repeating the process.

$\frac{13}{39}=\frac{10}{y}$

Find y by cross multiplying numerator and denominator of each fraction.

13y = 39(10)

13y = 390

y = 30

The side lengths are 30, 36 and 39.

3 0

3 years ago

In the diagram, find the values of a and b.

uysha [10]

Answer:

Step-by-step explanation:

∠a is alternate interior angle to ∠ECD

∠b is alternate interior angle to ∠BCD

so:

If AB || CD then:

m∠a = m∠ECD = 25° + 42° = 67°

m∠b = 42°

8 0

3 years ago

Which statement describes a disadvantage of Marnie paying a bill by telephone with a credit card or a debit card? Marnie will no

Andrej [43]

Answer:

The Answer is B Marnie will have to share her card account information.

Plus I took this test so

5 0

3 years ago

Read 2 more answers

A home Improvement store advertises 60 ft.² of flooring for 287.00 including an 80.00 installation fee write an equation to repr

anastassius [24]

Answer:

$cost = \frac{287}{60} +80$

Step-by-step explanation:

So, for 60 square feet they charge = 287

So, for 1 square foot they charge = $\frac{287}{60}$

If they charge the installation fee this becomes = $\frac{287}{60} +80$

We can write an equation to calculate cost by using this $=\frac{287}{60} x +80$

Where x is the amount of square foot

3 0

3 years ago

laiz [17]

Answer:

B) 0.02

Step-by-step explanation:

<u>Use the Binomial Theorem</u>

$\displaystyle P(X=x)=\binom{n}{x}p^xq^{n-x}\\\\P(X=4)=\binom{30}{4}(0.30)^4(1-0.30)^{30-4}\\\\P(X=4)=\frac{30!}{4!(30-4)!}(0.30)^4(0.70)^{26}\\ \\P(X=4)=\frac{30!}{4!(26)!}(0.30)^4(0.70)^{26}\\ \\P(X=4)=\frac{30*29*28*27}{4*3*2*1}(0.30)^4(0.70)^{26}\\ \\P(X=4)=27405(0.30)^4(0.70)^{26}\\\\P(X=4)\approx0.0208$

We have the probability of success, $p=0.30$ , and the probability of failure, $q=1-0.30=0.70$ . The binomial coefficient, $\binom{n}{k}$ , represents the amount of possible combinations that $k$ items can be chosen out of $n$ items, with its respective formula $\frac{n!}{k!(n-k)!}$ .

Hence, the best choice for the probability that 4 students chosen at random from the class of 30 that want the next test to be on Monday will be option B, 0.02

7 0

2 years ago