All categories

3 years ago

A number b minus 4.2 is less than −7.5

Mathematics

2 answers:

Kruka [31]3 years ago

5 0

B - 4.2 < -7.5
subtract b and 4.2
less then sign is <
then <-7.5

lina2011 [118]3 years ago

5 0

Answer:

Given: A number b minus 4.2 is less than -7.5.

Here, b is the number.

"less than" symbol is represented by '<'

"minus" means subtract.

"b minus 4.2" translated to b - 4.2

Then, our inequality becomes;

$b - 4.2 < -7.5$

To solve for b;

Add 4.2 both sides we get;

$b -4.2 + 4.2 < -7.5 + 4.2$

Simplify:

$b < -3.3$

Therefore, an inequality for the given word sentence is, $b - 4.2 < -7.5$

You might be interested in

Round 602813 to the nearest 10,000

svp [43]

Answer:

60,000

Step-by-step explanation:

2813 rounds to 60,000 not 61,000

4 0

3 years ago

Read 2 more answers

Please help! I am completely lost on these things

Flauer [41]

Its pythagoras I think ^^; so 9^2 + 4.5^2 = 101.25 then square root it to get 10.0623059 just in future do a^2 + b^2 = c^2 (adjacent squared plus opposite squared gives you the longest side which is the hypotenuse squared) I hope that helps! ^^;

5 0

3 years ago

DE if the radius is 2 meters

Murljashka [212]

Answer:

Step-by-step explanation:

diameter is 2 radius

4 0

3 years ago

Find angle ABC 8x+16+6x-60=180

kykrilka [37]

Collect like terms so that the equation becomes 14x-44=180
Move negative 44 to the other side as a positive so equation becomes
14x=224
Divide both sides by 14
224/14 which is 16
So x is equal to sixteen

8 0

3 years ago

A random sample of 9 fields of corn has a mean yield of 40.6 bushels per acre and standard deviation of 7.52 bushels per acre. D

zaharov [31]

Answer:

The critical value that should be used in constructing the confidence interval is -1.397 and 1.397.

80% confidence interval for the true mean yield is [37.1 bushels per acre, 44.1 bushels per acre].

Step-by-step explanation:

We are given that a sample of 1584 third graders, the mean words per minute read was 35.7. Assume a population standard deviation of 3.3.

Firstly, the pivotal quantity for 80% confidence interval for the true mean is given by;

P.Q. = $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ ~ $t_n_-_1$

where, $\bar X$ = sample mean yield = 40.6 bushels per acre

s = sample standard deviation = 7.52 bushels per acre

n = sample of fields of corn = 9

$\mu$ = true mean yield

Here for constructing 80% confidence interval we have used One-sample t test statistics as we don't know about the population standard deviation.

So, 99% confidence interval for the true mean yield, $\mu$ is ;

P(-1.397 < $t_8$ < 1.397) = 0.80 {As the critical value of t at 8 degree of

of freedom are -1.397 & 1.397 with P = 10%}

P(-1.397 < $\frac{\bar X-\mu}{\frac{s}{\sqrt{n} } }$ < 1.397) = 0.80

P( $-1.397 \times {\frac{s}{\sqrt{n} } }$ < ${\bar X-\mu}$ < $1.397 \times {\frac{s}{\sqrt{n} } }$ ) = 0.80

P( $\bar X-1.397 \times {\frac{s}{\sqrt{n} } }$ < $\mu$ < $\bar X+1.397 \times {\frac{s}{\sqrt{n} } }$ ) = 0.80

80% confidence interval for $\mu$ = [ $\bar X-1.397 \times {\frac{s}{\sqrt{n} } }$ , $\bar X+1.397 \times {\frac{s}{\sqrt{n} } }$ ]

= [ $40.6-1.397 \times {\frac{7.52}{\sqrt{9} } }$ , $40.6+1.397 \times {\frac{7.52}{\sqrt{9} } }$ ]

= [37.1 , 44.1]

Therefore, 80% confidence interval for the true mean yield is [37.1 bushels per acre, 44.1 bushels per acre].

7 0

3 years ago