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alisha [4.7K]
2 years ago
11

Solve the equation. 10.35+2.3h=-9.2

Mathematics
2 answers:
Readme [11.4K]2 years ago
8 0

Answer:

h = -8.5

Step-by-step explanation:

10.35+2.3h=-9.2

Subtract 10.35 from each side

10.35-10.35+2.3h=-9.2-10.35

2.3 h =-19.55

Divide each side by 2.3

2.3h/ 2.3 = -19.55/2.3

h =-8.5

sp2606 [1]2 years ago
7 0
10.35+2.3h=-9.2
-10.35. -10.35
——————————
2.3h=-19.55

-19.55/2.3=-8.5
h=-8.5
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There is a direct path from Gayle's house to the store. Due to construction, the direct route is closed and Gayle must travel 6
Elina [12.6K]

Answer:

<em><u>c2=10</u></em>

Step-by-step explanation:

8^2+6^2=c2

64+36=120

c2=square root of 120..which is 10

3 0
3 years ago
A manufacturer of running shoes knows that the average lifetime for a particular model of shoes is 15 months. Someone in the res
Alexus [3.1K]

Answer:

Step-by-step explanation:

Hello!

So you have a new type of shoe that lasts presumably longer than the ones that are on the market. So your study variable is:

X: "Lifetime of one shoe pair of the new model"

Applying CLT:

X[bar]≈N(μ;σ²/n)

Known values:

n= 30 shoe pairs

x[bar]: 17 months

S= 5.5 months

Since you have to prove whether the new shoes last more or less than the old ones your statistical hypothesis are:

H₀:μ=15

H₁:μ≠15

The significance level for the test is given: α: 0.05

Your critical region will be two-tailed:

Z_{\alpha /2} = Z_{0.025}= -1.96

Z_{1-\alpha /2} = Z_{0.975}= 1.96

So you'll reject the null Hypothesis if your calculated value is ≤-1.96 or if it is ≥1.96

Now you calculate your observed Z-value

Z=<u>x[bar]-μ</u> ⇒ Z=<u>    17-15     </u> = 1.99

     σ/√n              5.5/√30

Since this value is greater than the right critical value, i.e. Zobs(1.99)>1.96 you reject the null Hypothesis. So the average durability of the new shoe model is different than 15 months.

I hope you have a SUPER day!

5 0
3 years ago
If f(x)=-2x-3 find f(4)
Naddik [55]

Answer:

f(4) = -11

Step-by-step explanation:

Plug in 4 for x: Note that x = 4.

f(x) = -2x - 3

f(4) = -2(4) - 3

Remember to follow PEMDAS. First, solve the multiplication, then subtract:

f(4) = (-2 * 4) - 3

f(4) = (-8) - 3

f(4) = -11

f(4) = -11 is your answer.

~

4 0
3 years ago
Stuart put $99 into a CD that pays 2.6% interest, compounded monthly. According to the Rule of 72, approximately how long will i
Taya2010 [7]
72/2.6=27.7 years
Hope it helps :-)
4 0
3 years ago
Read 2 more answers
What is the solution to: <br> T/t-4=t+4/6
S_A_V [24]
\frac{t}{t-4}= \frac{t+4}{6} \\ t \neq 4 \\ 6t=  (t+4)(t-4) \\ 6t=t^2-16 \\ t^2-6t-16=0 \\ D=b^2-4ac=(-6)^2-4*1*(-16)=36+64=100 \\ t_{1,2}= \frac{-bб \sqrt{D} }{2a}  \\ t_1= \frac{6-10}{2}=-2 \\  \ t_2= \frac{6+10}{2}=8

Answer: t=-2, t=8
4 0
2 years ago
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