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3 years ago

What is the missing number in the number sentence ?

2 answers:

5 0

Hello there.

Question: What is the missing number in the number sentence ?

Answer: It would be 4.
Both sides should be equal therefore the number you need is 4.

Hope This Helps You!
Good Luck Studying ^-^

balu736 [363]3 years ago

4 0

The parentheses don't really matter, due to the whole equation is multiplication. So:
(8 * 4) * 6 = 8 * ( ? * 6)
The number missing on the right would be 4.

Hope this helps!

You might be interested in

Change 6 miles to feet

WITCHER [35]

Answer:

31680 feet

Step-by-step explanation:

1 mile = 5280 feet

5280 * 6 = 31680

4 0

3 years ago

in sunlight, a vertical stick 9 ft tall casts a shadow 7 ft long. at the same time a nearby tree casts a shadow 28ft long. how t

attashe74 [19]

The tree wood b 36 ft
because:
28'
7' = 4'
9'x4'= 36'
that 36' is the trees height.

6 0

3 years ago

A trucking firm suspects that the mean lifetime of a certain tire it uses is more than 30,000 miles. To check the claim, the fir

grandymaker [24]

Answer:

We conclude that the lifetime of tires is less than 30,000 miles.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 30,000 miles

Sample mean, $\bar{x}$ = 29,400 miles

Sample size, n = 54

Alpha, α = 0.05

Population standard deviation, σ =1200 miles

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 30000\text{ miles}\\H_A: \mu < 30000\text{ miles}$

We use One-tailed z test to perform this hypothesis.

Formula:

$z_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$z_{stat} = \displaystyle\frac{29400 - 30000}{\frac{1200}{\sqrt{54}} } = -3.6742$

Now, $z_{critical} \text{ at 0.05 level of significance } = -1.64$

Since,

$z_{stat} < z_{critical}$

We reject the null hypothesis and accept the alternate hypothesis.

Thus, we conclude that the lifetime of tires is less than 30,000 miles.

4 0

3 years ago

L1 and L2 are two straight lines. The origin of the coordinate axes is O. L1 has equation 5x + 10y = 8 L2 is perpendicular to L1

Ivenika [448]

Answer:

40 sq units

Step-by-step explanation:

$5x + 10y = 8\\\Rightarrow y=\dfrac{8-5x}{10}\\\Rightarrow y=-\dfrac{1}{2}x+\dfrac{2}{5}$

Slope of $L_2$ is $m_2$

$m_1m_2=-1\\\Rightarrow m_2=-\dfrac{1}{m_1}\\\Rightarrow m_2=-\dfrac{1}{-\dfrac{1}{2}}\\\Rightarrow m_2=2$

$L_2$ passes through point $(8,6)$

$y-6=2(x-8)\\\Rightarrow y=2x-16+6\\\Rightarrow y=2x-10$

Point at x axis where $L_2$ intersects is

$0=2x-10\\\Rightarrow x=\dfrac{10}{2}\\\Rightarrow x=5$

Point $A$ of the triangle will be $(5,0)$

$L_2$ intersects line $x=-3$ . The point is

$y=2\times(-3)-10\\\Rightarrow y=-6-10\\\Rightarrow y=-16$

The points of the triangle are $A(5,0), O(0,0), B(-3,-16)$

Area of triangle is given by

$A=\dfrac{|A_x(B_y-O_y)+B_x(A_y-O_y)+O_x(A_y-B_y)|}{2}\\\Rightarrow A=\dfrac{|5(-16-0)+-3(0-0)+0(0-(-16))|}{2}\\\Rightarrow A=40\ \text{sq units}$

The area of the triangle is 40 sq units.

6 0

3 years ago

An observation deck extends 199 feet out above a valley. The deck sits 149 feet above the valley floor. If an object is dropped

____ [38]

Answer:

Step-by-step explanation:

Give the height of the observation deck modeled by the equation

h= -16t^2+149 where t is in seconds;

To get the time it will take the object to be 5 feet above the valley floor, we wil substitute h = 5ft into the modeled equation and calculate t;

h= -16t^2+149

5= -16t^2+149

-16t^2 = 5-149

-16t^2 = -144

t² = 144/16

t² = 9

t = √9

t = 3secs

Hence the time it will take for the object to be 5 feet above the valley floor is 3secs

6 0

3 years ago