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3 years ago

Math help

Mathematics

1 answer:

vlada-n [284]3 years ago

3 0

Answer:

3B = R

R/3 = B

S + 50 = R

S = R - 50

R + S + B = 972

(R - 50) + (R/3) + R = 972

2R - 50 + R/3 = 972

7R/3 - 50 = 972

7R/3 = 1022

7R = 3066

R = 438

B = R/3

B = 438 / 3

B = 146

S = R - 50

S = 438 - 50

S = 388

S - B

388 - 146 = 242

Answer: Sapphire has 242 more dog biscuits than Briggs.

Step-by-step explanation:

R = Roxy

B = Briggs

S = Sapphire

First, set up what you know from the problem.

Now, you need to find Sapphire and Briggs. Display all of them in terms of R. Then, add all the values together, algebraically.

Hope this helps!

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Answer:

Sample size is $n=423$

Step-by-step explanation:

Given that,

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Confidence level $=90$ %

Suppose, sample proportion $=0.5$

i.e. $\hat{P}=0.5$

We know that,

Margin of error $=2^*\sqrt{\frac{\hat{p}(1-\hat{p})}{n} }$

∴ $1.64\sqrt{\frac{0.5(0.5)}{n} } \leq 4\%$

$\Rightarrow 1.64\sqrt{\frac{0.25}{n} } \leq 0.04$

$\Rightarrow \frac{0.5}{\sqrt{n} } \leq \frac{0.04}{1.64}$

$\Rightarrow \frac{0.5}{\sqrt{n} } \leq 0.0243$

$\Rightarrow \sqrt{n}\geq \frac{0.5}{0.0243}$

$\Rightarrow \sqrt{n}\geq 20.57$

squaring on both side,

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Hence, the sample size is,

$n=423$

Hence, the correct option is $(b).$

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3 years ago

Read 2 more answers

-8 x+3=-29 what is x?

kykrilka [37]

Answer:

x=4

Step-by-step explanation:

To solve for x, use inverse operations:

-8x+3 = -29 Subtract 3 from both sides

-8x +3 -3 = -29 -3

-8x = -32 Divide both sides by -8

x = 4

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3 years ago

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Mars2501 [29]

Answer:

5x^2 +8x-4

Step-by-step explanation:

(5x - 2) * (x + 2)

We can FOIL

first: 5x*x = 5x^2

outer : 2*5x = 10x

inner: -2x

last : -2*2 = -4

Add these together

5x^2 +10x-2x-4

5x^2 +8x-4

4 0

3 years ago

A triangular prism is 40 millimeters long and has a triangular face with a base of 24 millimeters and a height of 35 millimeters

abruzzese [7]

Answer:

26,508

Step-by-step explanation:

To find out how to solve this is that we first need to know that Triangular prisms have their own formula for finding surface area because they have two triangular faces opposite each other. The formula A=12bh is used to find the area of the top and bases triangular faces, where A = area, b = base, and h = height.

Also: To find the total surface area of a prism, you need to calculate the area of two polygonal bases, the top face and bottom face. And then calculate the area of lateral faces connecting the bases. Add up the area of the two bases and the area of the lateral faces to get the total surface area of a prism.

The top= 12 x 24 x 35 = 10,080

The lateral faces: 12 x 37 x 37 = 16,428

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7 0

3 years ago