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2 years ago

40 points!!! Please Help!!! (MATH) Will give Brainliest!!!

Mathematics

1 answer:

Vedmedyk [2.9K]2 years ago

7 0

Answer:

A =62x^2

Step-by-step explanation:

The formula for surface area of a rectangular prism is given by

A=2(wl+hl+hw)

Given a width of 2x and length of 3x and a height of 5x, substitute into the equation

A = 2(2x*3x+ 5x*3x+ 2x*5x)

A = 2(6x^2 + 15x^2 +10x^2)

Combine like terms

A = 2(31x^2)

A =62x^2

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What is the smallest 3-digit palindrome that is divisible by both 3 and 4?

kirill [66]

Answer:

252

Step-by-step explanation:

To be divisible by 3, it's digits have to add to a number that is a multiple of 3.

To be divisible by 4 its last 2 digits have to be divisible by 3.

So let's start with 1x1 which won't work because 1x1 is odd. so let's go to 2x2 and see what happens.

212 that's divisible by 4 but not 3

222 divisible by 3 but not 4

232 divisible by 4 but not 3

242 not divisible by either one.

252 I think this might be your answer

The digits add up to 9 which is a multiple of 3 and the last 2 digits are divisible by 4

4 0

2 years ago

PLEASE HELP GUYS !!!

crimeas [40]

Answer:

y = -3/2x + 3

y = x + 1

y = 5/4x - 2

4 0

2 years ago

Read 2 more answers

In the following problem, check that it is appropriate to use the normal approximation to the binomial. Then use the normal dist

Tcecarenko [31]

Answer:

a. 0.7291

b. 0.9968

c. 0.7259

Step-by-step explanation:

a. np and n(1-p) can be calculated as:

$np=23\times 0.48\\\\=11.04\\\\n(1-p)=23(1-0.52)\\\\=11.96$

#Both np and np(1-p) are greater than 5, hence, normal approximation is most appropriate:

$\mu_x=11.04\\\\\sigma^2=np(1-p)=0.48\times 0.52\times 23=5.7408$

#Define Y:

Y~(11.04,5.7408)

$P(X\leq 12)\approx P(Y\leq 12.5)\\\\P(Z\leq \frac{(12.5-11.04)}{\sqrt{5.7408}})=\\\\=1-0.2709\\\\=0.7291$

Hence, the probability of 12 or fewer is 0.8291

b. The probability that 5 or more fish were caught.

#Using normal approximation:

$P(X \geq 5) \approx P(Y \geq 4.5) = P(Z \geq\frac{ (4.5-11.04)}{\sqrt{(5.7408)}})\\\\=1-0.0032\\\\=0.9968$

Hence, the probability of catching 5+ is 0.9968

c. The probability of between 5 and 12 is calculated as;

-From b above $P(X\geq 5)=0.9968$ and a , $P(X\leq 12)$ =0.7291

$P(5\leq X\leq 120\approx P(4.5\leq Y\leq 12.5)\\\\=0.7291-(1-0.9968)\\\\=0.7259$

Hence, the probability of between 5 and 12 is 0.7259

4 0

2 years ago

Ms. Hernandez is taking her children and their friends to the movies. She will pay $10 for adult ticket and $7 for each child ti

arlik [135]

Answer: 10 + 7x $\leq \\$ 40

We can use exclusion method:

A and C is not correct because Ms Hernandez doesn't want to spend more than 40 dollars --> so it must be less than or equal to 40

3 0

2 years ago

Corinne and Aretha are having a 26-mile race. Corinne gave Aretha a head start by letting her begin 3.5 miles in front of the st

Ronch [10]

From the table, the speed of Corinne is given by

$speed=slope= \frac{2.5-1.25}{20-10} = \frac{1.25}{10} =0.125 \ miles / minute$

From the graph, the speed of Aretha is given by

$speed=slope= \frac{5.5-4.5}{20-10} = \frac{1}{10} =0.1 \ miles / minute$

The distance from the starting point of Corinne at any time t is given by D = 0.125t while the distance from the starting point of Aretha at any time t is given by D = 3.5 + 0.1t

Let t be the number of minutes after the start of the race when Corinne catchs Aretha, then

0.125t = 3.5 + 0.1t
0.025t = 3.5
t = 3.5 / 0.025 = 140

Therefore, the number of <span>minutes after the start of the race that Corinne will catch Aretha</span> is 140 minutes.

6 0

3 years ago

Read 2 more answers