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Zielflug [23.3K]
3 years ago
9

7th grade math I-ready

Mathematics
2 answers:
quester [9]3 years ago
8 0
The answer would be 7.15, but since we are estimating.
The answer is 7
igor_vitrenko [27]3 years ago
5 0
20+(-3.05)+(-9.8)
is the same as
20-3.05-9.8
16.95-9.8
7.15
rounded to 7
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I don't need you to work it out, just theorem(s) i need to reach the answer :)
VikaD [51]
Not sure why such an old question is showing up on my feed...

Anyway, let x=\tan^{-1}\dfrac43 and y=\sin^{-1}\dfrac35. Then we want to find the exact value of \cos(x-y).

Use the angle difference identity:

\cos(x-y)=\cos x\cos y+\sin x\sin y

and right away we find \sin y=\dfrac35. By the Pythagorean theorem, we also find \cos y=\dfrac45. (Actually, this could potentially be negative, but let's assume all angles are in the first quadrant for convenience.)

Meanwhile, if \tan x=\dfrac43, then (by Pythagorean theorem) \sec x=\dfrac53, so \cos x=\dfrac35. And from this, \sin x=\dfrac45.

So,

\cos\left(\tan^{-1}\dfrac43-\sin^{-1}\dfrac35\right)=\dfrac35\cdot\dfrac45+\dfrac45\cdot\dfrac35=\dfrac{24}{25}
7 0
3 years ago
Birth Weights Babies born after a gestation period of 32-35 weeks have a mean weight of 2600 grams and a standard deviation of 6
lukranit [14]

Answer:

The z-score for the 34-week gestation period baby is 0.61

Step-by-step explanation:

The formula for calculating a z-score is is z = (x-μ)/σ,

where x is the raw score,

μ is the population mean

σ is the population standard deviation.

We are told in the question that:

Babies born after a gestation period of 32-35 weeks have a mean weight of 2600 grams and a standard deviation of 660 grams. Also, we are supposing a 34-week gestation period baby weighs 3000grams

The z-score for the 34-week gestation period baby is calculated as:

z = (x-μ)/σ

x = 3000, μ = 2600 σ = 660

z = 3000 - 2600/660

= 400/660

=0.6060606061

Approximately, ≈ 0.61

6 0
3 years ago
76% as a fraction in simplest form.
yuradex [85]

Answer:

76/100 = 19/25

5 0
2 years ago
Read 2 more answers
A jar contains 30 red marbles 50 blue marbles and 20 white marbles what is the the theoretical probability of choosing a white m
svlad2 [7]
Theoretical probablity=desiredoutcomes/totalpossibleoutcomes

desired=number of white marbles=20
total possible=red+blue+white=30+50+20=100

so theoretical probablity=20/100=2/10=0.2=20%
7 0
3 years ago
Read 2 more answers
Andy has three planks of wood. Two planks are each 1.5 m long. One plank is 2.5m long. What is the total length of all the three
11Alexandr11 [23.1K]

Given:

Two planks are each 1.5 m long.

One plank is 2.5m long.

To find:

The total length of all the three planks.

Solution:

Two planks are each 1.5 m long. So,

First plank = 1.5 m

Second plank = 1.5 m

One plank is 2.5m long. So,

Third plank = 2.5 m

Now, the total length of all the three planks is

\text{Total length}=\text{First plank + Second plank + Third plank}

\text{Total length}=1.5+1.5+2.5

\text{Total length}=5.5

Therefore, the total length of all the three planks is 5.5 m.

4 0
3 years ago
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