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3 years ago

Solve the inequality for t. 11 ≤ t + 4 Simplify your answer as much as possible.

Mathematics

2 answers:

Softa [21]3 years ago

8 0

Answer:

t≥7

Step-by-step explanation:

11≤t+4

4 moves to the other side hence its sign changes

11-4≤t

7≤t

they change sides

t≥7

the sign was facing t so this does not change

saveliy_v [14]3 years ago

3 0

Answer:

Step-by-step explanation:

Here are some steps to help you

Step 1

11 ≤ t + 4 We are gonna simplify

Step 2

11 ≤ t + 4 simplify

t+4≥11

Step 3

t+4≥11 Subtract 4 from the sides

t≥7

So therefore, your answer will be t≥7

Hope this helps

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The Highway Safety Department wants to study the driving habits of individuals. A sample of 121 cars traveling on the highway re

Ede4ka [16]

Answer:

{58.02007 , 61.97993]

Step-by-step explanation:

Data are given in the question

Sample of cars = n = 121

Average speed = sample mean = 60

Standard deviation = sd = 11

And we assume

95% confidence t-score = 1.97993

Therefore

Confidence interval is

$= [60 - \frac{1.97993 \times 11}{\sqrt{121} }] , [60 + \frac{1.97993 \times 11}{\sqrt{121} }]$

= {58.02007 , 61.97993]

Basically we applied the above formula to determine the confidence interval

4 0

3 years ago

20 points

irinina [24]

Answer:

(a) $9x^2+16x-4$

(b) $9a(2a+5)$

Step-by-step explanation:

(a)

$(9x-2)(x+2)=$

$9x^2-2x+18x-4=$

$9x^2+16x-4$

(b)

$18a^2+45a=$

$9a(2a+5)$

(c)

$y^2-10y+24=$

$(y-6)(y-4)$

Hope this helps!

4 0

3 years ago

Can anybody help me on this?

Eduardwww [97]

Answer: second option.

Step-by-step explanation:

You need to descompose the radicand 8 and the radicand 50 into their prime factors:

$8=2*2*2=2^2*2\\50=2*5*5=2*5^2$

Then you can rewrite the expression:

$\sqrt{8}+\sqrt{50}$

$=\sqrt{2^2*2}+\sqrt{2*5^2}$

Since:

$\sqrt{a^2}=a$

You can simplify the expression:

$=2\sqrt{2}+5\sqrt{2}$

As the indices and the radicands are the same, you can make the addition:

$=7\sqrt{2}$

4 0

3 years ago

Please help! Is it 0.0364?

NNADVOKAT [17]

Answer:

0.0636

Step-by-step explanation:

The probability the first die has twelve sides is 4/11.

The probability the second die has twelve sides is 3/10.

The probability the third die does not have twelve sides is 7/9.

The probability the fourth die does not have twelve sides is 6/8.

The probability of all four events is:

4/11 × 3/10 × 7/9 × 6/8 = 0.0636

7 0

4 years ago

Plssssss help me with my test

STatiana [176]

58.5 yards

yea hope this helps

3 0

3 years ago