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2 years ago

Use the Distributive Property and mental math to find the product. 7(28) I need this quick.

Mathematics

1 answer:

Luda [366]2 years ago

8 0

Answer:

196

Step-by-step explanation:

196

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Which economic Indicator measures inflation?<br> A. GDP<br> ОВ. СРІ<br> C. unemployment rate

lesya [120]

Answer:

B. CPI

Step-by-step explanation:

3 0

2 years ago

Please need urgent help. It's my final question. I'll have be brainliest!!

Alecsey [184]

X=32

All triangles add up to 180 degrees so if the right angle is 90 degrees then you have 90 degrees left. Next, you take the 2x and x-6 and plug them into the equation 3x-6=90. Once you solve that you get x=32.

8 0

2 years ago

A jeweler wants to minimize business costs and has found that the average cost in dollars per necklace is given by C(x)=0.5x^2-7

Vika [28.1K]

Answer:

The maximum cost is 41 dollars per necklace.

Step-by-step explanation:

The average cost in dollars/necklace is given by :

$C(x)=0.5x^2-7x+65.5$ .....(1)

Where

x is the number of necklaces that are created

To maximize the cost, find the value of x by putting dC/dx = 0

$\dfrac{d}{dx}(0.5x^2-7x+65.5)=0\\\\x-7=0\\\\x=7$

Now put the value of x = 7 in equation (1).

$C(x)=0.5(7)^2-7(7)+65.5\\\\=41\ \text{dollars per necklace}$

Hence, the maximum cost is 41 dollars per necklace.

8 0

2 years ago

The picture is above.

vladimir2022 [97]

Answer: =x4+3x3+2x2−4

Step-by-step explanation:

(x2+3x+2)(x2)−4

Distribute:

=(x2)(x2)+(3x)(x2)+(2)(x2)+−4

=x4+3x3+2x2+−4

6 0

1 year ago

(2 points) An article in the Washington Post on March 16, 1993 stated that nearly 45 percent of all Americans have brown eyes. A

lara31 [8.8K]

Answer: a) z=1.43

b) 0.1528

Step-by-step explanation:

The given set of hypothesis :

$H_0:p=0.45$

$H_a:p\neq0.45$

Since the alternative hypothesis $H_a$ is two-tailed , so we perform two-tailed test.

Also, it is given that : A random sample of n=76 Americans found 28 with brown eyes.

Sample proportion: $\hat{p}=\dfrac{28}{76}=0.3684$

a) The z-statistic would be :-

$z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

$\Rightarrow\ z=\dfrac{0.3684-0.45}{\sqrt{\dfrac{0.45(1-0.45)}{76}}}=-1.4299121397\approx-1.43$

b) P-value for two-tailed test = 2P(Z>|z|)= 2P(z>|-1.43|)

=2P(z>1.43)

=2(1-P(z≤1.43)

=2-2P(z≤1.43)

= 2-2(0.9236)[Using standard z-table]

= 2-1.8472=0.1528

Hence, the P-value of the test= 0.1528

6 0

2 years ago