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3 years ago

Compare -3.5 and -3 1. Use <, >, or =. -3.5 < -34 -3.5 > -34 -3.5=-34

Mathematics

1 answer:

ipn [44]3 years ago

5 0

Answer:

$>$

negative numbers go from the lowest to the highest so -3.5 is higher than -34

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Enter the equivalent distance in km in the box.

devlian [24]

100 cm = 1m

To find 60 000cm, multiply by 600 :
60 000 cm = 600m

To convert from m to km, divide by 1000 :
600m ÷ 1000 = 0.6km

3 0

3 years ago

Solve for x<br><br> 15x^2+16x= -4

Klio2033 [76]

15x²+16x+4 =0 (ax² +bx +c=0)

Δ = b²-4ac =256 - 4×15×4 =16

x1 = (-b+√Δ) / 2a = (-16+√16) / 30 =( -16+4) / 30 = -12/30 = - 2/5
x2 = (-b -√Δ) / 2a = (-16 -√16) / 30 = (-16 -4) /30 = -20/30 = -2/3

4 0

2 years ago

Read 2 more answers

1. The sum of first n terms of an arithmetic sequence is 3n²+4n

valentina_108 [34]

Answer:

Step-by-step explanation:

$a_1=S_1=3\cdot1^2+4\cdot1=3+4=7$

$a_1+a_2=S_2\\\\a_1+a_1+d=3\cdot2^2+4\cdot2\\\\7+7+d=3\cdot4+8\\\\14+d=12+8\\\\d=6\\\\\\a_n=a_1+d(n-1)\\\\a_n=7+6(n-1)\\\\a_n=7+6n-6\\\\\underline{a_n=7n+1}$

$a_{20}=7\cdot20+1=141$

5 0

2 years ago

A different species of cockroach has weights that are approximately Normally distributed with a mean of 50 grams. After measurin

Ratling [72]

Answer:

The standard deviation of weight for this species of cockroaches is 4.62.

Step-by-step explanation:

Given : A different species of cockroach has weights that are approximately Normally distributed with a mean of 50 grams. After measuring the weights of many of these cockroaches, a lab assistant reports that 14% of the cockroaches weigh more than 55 grams.

To find : What is the approximate standard deviation of weight for this species of cockroaches?

Solution :

We have given,

Mean $\mu=50$

The sample mean x=55

A lab assistant reports that 14% of the cockroaches weigh more than 55 grams.

i.e. P(X>55)=14%=0.14

The total probability needs to sum up to 1,

$P(X\leq 55)=1-P(X>55)$

$P(X\leq 55)=1-0.14$

$P(X\leq 55)=0.86$

The z-score value of 0.86 using z-score table is z=1.08.

Applying z-score formula,

$z=\frac{x-\mu}{\sigma}$

Where, $\sigma$ is standard deviation

Substitute the values,

$z=\frac{x-\mu}{\sigma}$

$1.08=\frac{55-50}{\sigma}$

$1.08=\frac{5}{\sigma}$

$\sigma=\frac{5}{1.08}$

$\sigma=4.62$

The standard deviation of weight for this species of cockroaches is 4.62.

4 0

2 years ago

Write an algebraic expression for the phrase the sum of g and 3

Paraphin [41]

The sum of g and 3.

The sum of two values is added together.

g+3

You would add g to 3 since it is their sum the statement is asking for.

I hope this helps!
~kaikers

3 0

3 years ago