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Andrei [34K]
2 years ago
9

Hello can you please help me with one or two please

Mathematics
1 answer:
Zolol [24]2 years ago
6 0

For question number 2, the answer is A 6x+9

Explanation:

\begin{gathered} 3(2x+3) \\ \text{Clearing the brackets, we get} \\ 6x+9 \end{gathered}

Question Number 19:

\begin{gathered} 8x-2x+4 \\ 6x+4 \\ \text{Factorizing, we get} \\ 2(3x+2) \end{gathered}

So, the correct answer for question number 19 is 6x + 4.

You might be interested in
The mean salary of actuaries is LaTeX: \mu=\$100,000????=$100,000 and the standard deviation is LaTeX: \sigma=\$36,730????=$36,7
krek1111 [17]

Answer:

The lower limit of 95% confidence interval is 99002.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = $100,000

Sample mean, \bar{x} = $111,000

Sample size, n = 36

Alpha, α = 0.05

Population standard deviation, σ = $36,730

First, we design the null and the alternate hypothesis

H_{0}: \mu = \$100,000\\H_A: \mu \neq \$100,000

We have to find the lower limit of the 95% confidence interval.

95% Confidence interval:

\mu \pm z_{critical}\frac{\sigma}{\sqrt{n}}

Putting the values, we get,

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

111000 \pm 1.96(\dfrac{36730}{\sqrt{36}} )\\\\ = 111000 \pm 11998.4667 \\= (99001.5333,122998.4667)\\ \approx (99002,122999)

The lower limit of 95% confidence interval is 99002.

6 0
4 years ago
Global temperatures are generally increasing. The average temp for Orlando is 73 degrees Fahrenheit. If temps are rising at an a
Nezavi [6.7K]
The multiplier is 1 + (percentage increase) = 1.0013.

_____
It make no sense to talk about percentage changes in temperature. Just sayin'.
6 0
4 years ago
Flaky pastry can be made using flour and fat in the ratio 4 : 3. Jake makes some flaky pastry using 90 grams of fat. What weight
lubasha [3.4K]

Answer:

He use 120 grams of flour.

Step-by-step explanation:

Given:

Flaky pastry can be made using flour and fat in the ratio 4 : 3. Jake makes some flaky pastry using 90 grams of fat.

Now, to find the weight of flour he use in making flaky pastry.

Let the weight of flour be x.

Weight of fat = 90 grams.

The ratio of flour and fat used in making flaky pastry is 4 : 3.

<em>As, 4 is equivalent to 3.</em>

<em>Thus, </em>x<em> is equivalent to 90.</em>

Now, to solve using cross multiplication method:

\frac{4}{3} =\frac{x}{90} \\\\By\ cross\ multiplying\ we\ get:\\\\360=3x\\\\Dividing\ both\ sides\ by\ 3\ we\ get:\\\\120=x\\\\x=120\ grams.

Therefore, he use 120 grams of flour.

4 0
3 years ago
Perimeter with radius 14
nevsk [136]
360^o-150^o=210^o\\\\\dfrac{210^o}{360^o}=\dfrac{7}{12}

P_{LQM}=\dfrac{7}{12}\cdot2\pi\cdot14=\dfrac{7}{3}\pi\cdot7=\dfrac{49\pi}{3}\ cm

P_{QRP}=\dfrac{1}{2}\cdot14\pi=7\pi\ cm

P_F=\dfrac{49\pi}{3}+7\pi+3\cdot14\approx\dfrac{49}{3}\cdot\dfrac{22}{7}+7\cdot\dfrac{22}{7}+42=166\dfrac{2}{3}\ cm^2

6 0
3 years ago
Kelly purchased a toaster for $110. She made a down payment of 25% and financed the rest for 6 months with payments of $24.33. F
Arlecino [84]

Answer:

Down payment =$ 27.5

Total 6 month installment payment

= $145.98

Total payment for toaster= $173.48

Step-by-step explanation:

Supposed price of the toaster= $110

Down payment of 25% was made

Down payment= 25/100 * 110

Down payment=0.25*110

Down payment =$ 27.5

For 6 month she made installmental payment of $24.33

Total installmental payment

= 24.33 * 6

= $145.98

Then total payment made for the toaster = 145.98 + 27.5

= $173.48

6 0
3 years ago
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